Daily Math — 2026-08-09

[Easy] Counting Apples

• EN: There are 7 apples in a basket. Then 5 more apples are added. How many apples are there in all?
• FR: Il y a 7 pommes dans un panier. Ensuite, 5 autres pommes sont ajoutées. Combien y a-t-il de pommes en tout?
• Choices: A) 10 apples B) 11 apples C) 12 apples D) 13 apples
• Hint: To add, count on from the bigger number — try 8 + 4: start at 8 and count up 4 more.
• Steps:
  • Start at 7 and count on 5 more: 8, 9, 10, 11, 12.
  • So 7 + 5 = 12 apples.
• Answer: 12 apples

[Easy] Skip Counting by 2s

• EN: Count by 2s. What number comes after 8, 10, 12, 14, ___?
• FR: Compte par bonds de 2. Quel nombre vient après 8, 10, 12, 14, ___?
• Choices: A) 15 B) 16 C) 17 D) 18
• Hint: Skip counting by 2s means you add 2 each time — try 4, 6, 8, 10: what comes next?
• Steps:
  • The pattern adds 2 each time: 8, 10, 12, 14, …
  • 14 + 2 = 16.
• Answer: 16

[Easy] Comparing Numbers

• EN: Which number is greater: 9 or 14?
• FR: Quel nombre est plus grand : 9 ou 14?
• Choices: A) 9 B) 14 C) They are equal D) 11
• Hint: The number that is further along a number line is greater — compare 6 and 12: 12 is greater.
• Steps:
  • On a number line, 14 comes after 9.
  • So 14 is the greater number.
• Answer: 14

[Easy] Coin Recognition

• EN: Mia has one dime. How many cents does she have?
• FR: Mia a une pièce de dix cents. Combien de cents a-t-elle?
• Choices: A) 1 cent B) 5 cents C) 10 cents D) 25 cents
• Hint: Remember: a penny = 1¢, a nickel = 5¢, a dime = 10¢ — which one is a dime?
• Steps:
  • A dime is worth 10 cents.
  • So Mia has 10 cents.
• Answer: 10 cents

[Medium] Subtraction Within 20

• EN: There are 15 snowballs in a pile. Jake threw 8 of them. How many snowballs are left?
• FR: Il y a 15 boules de neige en tas. Jake en a lancé 8. Combien de boules de neige reste-t-il?
• Choices: A) 5 snowballs B) 6 snowballs C) 7 snowballs D) 8 snowballs
• Hint: To subtract, count back from the bigger number — try 12 − 5: start at 12 and count back 5.
• Steps:
  • Start at 15 and count back 8: 14, 13, 12, 11, 10, 9, 8, 7.
  • So 15 − 8 = 7 snowballs.
• Answer: 7 snowballs

[Medium] Skip Counting by 5s

• EN: Count by 5s. What is the missing number? 5, 10, 15, ___, 25.
• FR: Compte par bonds de 5. Quel est le nombre manquant? 5, 10, 15, ___, 25.
• Choices: A) 18 B) 20 C) 22 D) 23
• Hint: Skip count by 5s — try 10, 15, 20, 25: each jump is 5 more.
• Steps:
  • The pattern adds 5 each time: 5, 10, 15, …, 25.
  • 15 + 5 = 20.
• Answer: 20

[Medium] Addition Story

• EN: Liam sees 6 red birds and 9 blue birds on a branch. How many birds does he see in all?
• FR: Liam voit 6 oiseaux rouges et 9 oiseaux bleus sur une branche. Combien d'oiseaux voit-il en tout?
• Choices: A) 13 birds B) 14 birds C) 15 birds D) 16 birds
• Hint: Add the two groups together — try 5 + 8 = 13: count on from 8.
• Steps:
  • Start at 9 and count on 6 more: 10, 11, 12, 13, 14, 15.
  • So 6 + 9 = 15 birds.
• Answer: 15 birds

[Medium] Counting to 100

• EN: What number comes just before 40 when counting by 10s from 10?
• FR: Quel nombre vient juste avant 40 quand on compte par bonds de 10 en partant de 10?
• Choices: A) 20 B) 30 C) 35 D) 38
• Hint: Count by 10s: 10, 20, 30, 40 — which number comes just before 40?
• Steps:
  • Counting by 10s: 10, 20, 30, 40.
  • The number just before 40 in this pattern is 30.
• Answer: 30

[Hard] Two Coins

• EN: Sofía has one nickel and one dime. How many cents does she have in all?
• FR: Sofía a un cinq cents et un dix cents. Combien de cents a-t-elle en tout?
• Choices: A) 10 cents B) 12 cents C) 15 cents D) 20 cents
• Hint: Add the value of each coin — try one penny (1¢) and one nickel (5¢): 1 + 5 = 6¢.
• Steps:
  • A nickel = 5 cents; a dime = 10 cents.
  • 5 + 10 = 15 cents.
• Answer: 15 cents

[Hard] Addition and Comparison

• EN: Anika scored 9 points in the first hockey period and 8 points in the second. Did she score more than 18 points in all?
• FR: Anika a marqué 9 points dans la première période de hockey et 8 dans la deuxième. A-t-elle marqué plus de 18 points en tout?
• Choices: A) Yes, she scored 19 points B) No, she scored 17 points C) No, she scored 16 points D) Yes, she scored 20 points
• Hint: Add the two amounts first — try 6 + 7 = 13 — then compare to the target number.
• Steps:
  • 9 + 8 = 17 points in all.
  • 17 is less than 18, so she did NOT score more than 18.
• Answer: No, she scored 17 points

[Easy] Addition Within 100

• EN: There are 34 students at recess and 25 more students join them. How many students are there in all?
• FR: Il y a 34 élèves à la récréation et 25 autres se joignent à eux. Combien y a-t-il d'élèves en tout?
• Choices: A) 57 students B) 58 students C) 59 students D) 60 students
• Hint: Add the tens first, then the ones — try 32 + 24: 30 + 20 = 50, then 2 + 4 = 6, so 56.
• Steps:
  • Tens: 30 + 20 = 50. Ones: 4 + 5 = 9.
  • 50 + 9 = 59 students.
• Answer: 59 students

[Easy] Telling Time

• EN: The clock shows the hour hand on the 3 and the minute hand on the 12. What time is it?
• FR: L'horloge montre la grande aiguille sur le 12 et la petite aiguille sur le 3. Quelle heure est-il?
• Choices: A) 12:00 B) 3:00 C) 3:30 D) 6:00
• Hint: When the minute hand points to 12, it is exactly on the hour — try hour hand on 7: that is 7:00.
• Steps:
  • The minute hand on 12 means exactly on the hour.
  • The hour hand is on 3, so the time is 3:00.
• Answer: 3:00

[Easy] Measuring Length

• EN: A pencil is 14 cm long and a crayon is 9 cm long. How much longer is the pencil than the crayon?
• FR: Un crayon de bois mesure 14 cm et un crayon de cire mesure 9 cm. De combien le crayon de bois est-il plus long que le crayon de cire?
• Choices: A) 4 cm B) 5 cm C) 6 cm D) 7 cm
• Hint: Subtract the shorter length from the longer one — try 11 cm − 7 cm = 4 cm.
• Steps:
  • 14 cm − 9 cm = 5 cm.
  • The pencil is 5 cm longer than the crayon.
• Answer: 5 cm

[Easy] Simple Patterns

• EN: What comes next in this pattern? Circle, Square, Circle, Square, Circle, ___?
• FR: Qu'est-ce qui vient après dans ce motif? Cercle, Carré, Cercle, Carré, Cercle, ___?
• Choices: A) Circle B) Square C) Triangle D) Rectangle
• Hint: Look at what repeats — try A, B, A, B, A: the pattern is AB, so next is B.
• Steps:
  • The pattern repeats: Circle, Square, Circle, Square, …
  • After Circle comes Square.
• Answer: Square

[Medium] Subtraction Within 100

• EN: The school store had 72 erasers and sold 38 of them. How many erasers are left?
• FR: La boutique de l'école avait 72 gommes et en a vendu 38. Combien de gommes reste-t-il?
• Choices: A) 32 erasers B) 33 erasers C) 34 erasers D) 36 erasers
• Hint: Subtract the ones first, regrouping if needed — try 65 − 27: regroup 65 as 50 + 15, then 15 − 7 = 8, 50 − 20 = 30, total 38.
• Steps:
  • Regroup 72 as 60 + 12. Ones: 12 − 8 = 4. Tens: 60 − 30 = 30.
  • 30 + 4 = 34 erasers.
• Answer: 34 erasers

[Medium] Counting Coins

• EN: Ben has 3 dimes and 2 nickels. How much money does he have in all?
• FR: Ben a 3 pièces de dix cents et 2 pièces de cinq cents. Combien d'argent a-t-il en tout?
• Choices: A) 35 cents B) 40 cents C) 45 cents D) 50 cents
• Hint: Multiply each coin by its value, then add — try 2 dimes + 3 nickels: 20¢ + 15¢ = 35¢.
• Steps:
  • 3 dimes = 3 × 10 = 30 cents. 2 nickels = 2 × 5 = 10 cents.
  • 30 + 10 = 40 cents.
• Answer: 40 cents

[Medium] Telling Time — Half Hour

• EN: Maya started reading at 2:00 and read for half an hour. What time did she finish?
• FR: Maya a commencé à lire à 14h00 et a lu pendant une demi-heure. À quelle heure a-t-elle terminé?
• Choices: A) 2:15 B) 2:30 C) 2:45 D) 3:00
• Hint: Half an hour is 30 minutes — try starting at 4:00 and adding 30 minutes: you get 4:30.
• Steps:
  • Start at 2:00. Add 30 minutes (half an hour).
  • 2:00 + 30 minutes = 2:30.
• Answer: 2:30

[Medium] Measuring in Metres

• EN: A hallway at school is 8 m long. Another hallway is 5 m long. What is their total length?
• FR: Un couloir à l'école mesure 8 m de long. Un autre couloir mesure 5 m de long. Quelle est leur longueur totale?
• Choices: A) 11 m B) 12 m C) 13 m D) 14 m
• Hint: Add the two lengths — try 6 m + 7 m = 13 m.
• Steps:
  • 8 m + 5 m = 13 m.
  • The total length is 13 m.
• Answer: 13 m

[Hard] Multi-Step Coins

• EN: Olivia has 4 dimes, 1 nickel, and 3 pennies. Does she have enough to buy a sticker that costs 52 cents?
• FR: Olivia a 4 pièces de dix cents, 1 pièce de cinq cents et 3 pennies. A-t-elle assez d'argent pour acheter un autocollant qui coûte 52 cents?
• Choices: A) Yes, she has 52 cents B) No, she has 48 cents C) Yes, she has 55 cents D) No, she has 43 cents
• Hint: Find the total of each type of coin, then add them all — try 3 dimes + 2 nickels + 1 penny: 30 + 10 + 1 = 41¢.
• Steps:
  • 4 dimes = 40¢. 1 nickel = 5¢. 3 pennies = 3¢.
  • 40 + 5 + 3 = 48 cents. 48 < 52, so she does not have enough.
• Answer: No, she has 48 cents

[Hard] Two-Step Subtraction

• EN: A bag of Tim Hortons muffins had 20 muffins. On Monday 7 were eaten and on Tuesday 6 more were eaten. How many muffins are left?
• FR: Un sac de muffins Tim Hortons contenait 20 muffins. Lundi, 7 ont été mangés et mardi 6 autres ont été mangés. Combien de muffins reste-t-il?
• Choices: A) 5 muffins B) 6 muffins C) 7 muffins D) 8 muffins
• Hint: Subtract step by step — try 18 muffins: remove 5, then remove 4: 18 − 5 = 13, then 13 − 4 = 9.
• Steps:
  • After Monday: 20 − 7 = 13 muffins.
  • After Tuesday: 13 − 6 = 7 muffins.
• Answer: 7 muffins

[Easy] Multiplication by 2

• EN: A hockey team has 6 players on the ice. Each player has 2 gloves. How many gloves are there in all?
• FR: Une équipe de hockey a 6 joueurs sur la glace. Chaque joueur a 2 gants. Combien y a-t-il de gants en tout?
• Choices: A) 8 gloves B) 10 gloves C) 12 gloves D) 14 gloves
• Hint: Multiply by 2 means add the number two times — try 5 × 2 = 10: 5 + 5 = 10.
• Steps:
  • 6 × 2 = 12.
  • There are 12 gloves in all.
• Answer: 12 gloves

[Easy] Fractions — One Half

• EN: A pizza is cut into 2 equal pieces. Emma eats 1 piece. What fraction of the pizza did she eat?
• FR: Une pizza est coupée en 2 morceaux égaux. Emma mange 1 morceau. Quelle fraction de la pizza a-t-elle mangée?
• Choices: A) 1/4 B) 1/3 C) 1/2 D) 2/3
• Hint: A fraction means part of a whole — if something is cut into 4 equal parts and you take 1, you have 1/4.
• Steps:
  • The pizza has 2 equal pieces total.
  • Emma ate 1 out of 2 pieces, which is 1/2.
• Answer: 1/2

[Easy] Multiplication by 5

• EN: There are 4 bags of marbles. Each bag has 5 marbles. How many marbles are there in all?
• FR: Il y a 4 sacs de billes. Chaque sac contient 5 billes. Combien y a-t-il de billes en tout?
• Choices: A) 15 marbles B) 20 marbles C) 25 marbles D) 30 marbles
• Hint: Multiply the number of groups by the size — try 3 × 5 = 15: count by 5s three times.
• Steps:
  • 4 × 5 = 20.
  • There are 20 marbles in all.
• Answer: 20 marbles

[Easy] Perimeter

• EN: A rectangle has a length of 6 cm and a width of 3 cm. What is its perimeter?
• FR: Un rectangle a une longueur de 6 cm et une largeur de 3 cm. Quel est son périmètre?
• Choices: A) 9 cm B) 16 cm C) 18 cm D) 24 cm
• Hint: Perimeter = add all the sides — try a rectangle with length 5 cm and width 2 cm: 5 + 2 + 5 + 2 = 14 cm.
• Steps:
  • Perimeter = 6 + 3 + 6 + 3 = 18 cm.
  • The perimeter is 18 cm.
• Answer: 18 cm

[Medium] Division

• EN: There are 24 cookies to share equally among 4 friends. How many cookies does each friend get?
• FR: Il y a 24 biscuits à partager également entre 4 amis. Combien de biscuits chaque ami reçoit-il?
• Choices: A) 4 cookies B) 5 cookies C) 6 cookies D) 8 cookies
• Hint: Division is sharing equally — try 15 ÷ 3: how many times does 3 fit into 15? Count: 3, 6, 9, 12, 15 — five times.
• Steps:
  • 24 ÷ 4 = 6 because 4 × 6 = 24.
  • Each friend gets 6 cookies.
• Answer: 6 cookies

[Medium] Multiplication by 3

• EN: A carton holds 3 rows of eggs with 7 eggs in each row. How many eggs are in the carton?
• FR: Une boîte contient 3 rangées d'œufs avec 7 œufs dans chaque rangée. Combien y a-t-il d'œufs dans la boîte?
• Choices: A) 18 eggs B) 21 eggs C) 24 eggs D) 28 eggs
• Hint: Multiply the rows by the number in each row — try 3 × 6 = 18: add 6 three times.
• Steps:
  • 3 × 7 = 21.
  • There are 21 eggs in the carton.
• Answer: 21 eggs

[Medium] Reading a Graph

• EN: A bar graph shows 8 students like hockey, 5 like soccer, and 3 like swimming. How many more students like hockey than soccer?
• FR: Un diagramme à barres montre que 8 élèves aiment le hockey, 5 aiment le soccer et 3 aiment la natation. Combien d'élèves de plus aiment le hockey que le soccer?
• Choices: A) 2 students B) 3 students C) 4 students D) 5 students
• Hint: Subtract the smaller bar from the larger bar — try 9 − 4 = 5: that is how many more.
• Steps:
  • Hockey: 8 students. Soccer: 5 students.
  • 8 − 5 = 3 more students like hockey.
• Answer: 3 students

[Medium] Fractions — One Quarter

• EN: Noah cut a granola bar into 4 equal pieces and ate 1 piece. What fraction is left?
• FR: Noah a coupé une barre granola en 4 morceaux égaux et en a mangé 1. Quelle fraction reste-t-il?
• Choices: A) 1/4 B) 1/2 C) 3/4 D) 2/3
• Hint: If you eat 1 out of 4 pieces, subtract from the whole — try eating 1 out of 3: 2/3 are left.
• Steps:
  • There are 4 pieces. He ate 1, leaving 4 − 1 = 3 pieces.
  • 3 out of 4 pieces remain, which is 3/4.
• Answer: 3/4

[Hard] Multi-Step Multiplication

• EN: There are 5 tables in the classroom. Each table has 4 chairs. Each chair has 2 pencils on it. How many pencils are there in all?
• FR: Il y a 5 tables dans la classe. Chaque table a 4 chaises. Chaque chaise a 2 crayons dessus. Combien y a-t-il de crayons en tout?
• Choices: A) 30 pencils B) 35 pencils C) 40 pencils D) 45 pencils
• Hint: Solve step by step — try 3 tables × 4 chairs = 12 chairs, then 12 × 2 = 24 pencils.
• Steps:
  • Step 1: 5 tables × 4 chairs = 20 chairs.
  • Step 2: 20 chairs × 2 pencils = 40 pencils.
• Answer: 40 pencils

[Hard] Perimeter with Missing Side

• EN: A shape has three sides: 7 cm, 5 cm, and an unknown side. The total perimeter is 20 cm. What is the length of the missing side?
• FR: Une figure a trois côtés : 7 cm, 5 cm et un côté inconnu. Le périmètre total est de 20 cm. Quelle est la longueur du côté manquant?
• Choices: A) 6 cm B) 7 cm C) 8 cm D) 9 cm
• Hint: Add the known sides, then subtract from the perimeter — try sides 4 cm and 6 cm with perimeter 15 cm: 15 − 4 − 6 = 5 cm.
• Steps:
  • Add known sides: 7 + 5 = 12 cm.
  • Missing side = 20 − 12 = 8 cm.
• Answer: 8 cm

[Easy] Multiplication Tables

• EN: What is 8 × 7?
• FR: Combien font 8 × 7?
• Choices: A) 54 B) 56 C) 62 D) 64
• Hint: Use a known fact to help — try 8 × 6 = 48, then add one more group of 8: 48 + 8 = 56.
• Steps:
  • 8 × 7: think 8 × 6 = 48, then 48 + 8 = 56.
  • So 8 × 7 = 56.
• Answer: 56

[Easy] Decimal Place Value

• EN: What is the digit in the tenths place in the number 3.47?
• FR: Quel est le chiffre à la position des dixièmes dans le nombre 3,47?
• Choices: A) 3 B) 4 C) 7 D) 1
• Hint: In a decimal number like 2.58, the tenths digit is the first digit after the decimal point — that is 5.
• Steps:
  • In 3.47: the 3 is in the ones place, the 4 is in the tenths place, the 7 is in the hundredths place.
  • The tenths digit is 4.
• Answer: 4

[Easy] Area of a Rectangle

• EN: A hockey rink diagram measures 9 cm long and 5 cm wide. What is its area?
• FR: Un diagramme de patinoire mesure 9 cm de long et 5 cm de large. Quelle est son aire?
• Choices: A) 28 cm² B) 40 cm² C) 45 cm² D) 50 cm²
• Hint: Area of a rectangle = length × width — try 6 cm × 4 cm = 24 cm².
• Steps:
  • Area = 9 × 5 = 45.
  • The area is 45 cm².
• Answer: 45 cm²

[Easy] Comparing Fractions

• EN: Which fraction is greater: 3/4 or 2/4?
• FR: Quelle fraction est plus grande : 3/4 ou 2/4?
• Choices: A) 2/4 B) 3/4 C) They are equal D) 1/4
• Hint: When the denominators are the same, the larger numerator means the larger fraction — try 5/8 vs. 3/8: 5/8 is greater.
• Steps:
  • Both fractions have the same denominator (4).
  • 3 > 2, so 3/4 > 2/4.
• Answer: 3/4

[Medium] Long Division

• EN: A bag of 56 hockey cards is shared equally among 8 players. How many cards does each player get?
• FR: Un sac de 56 cartes de hockey est partagé également entre 8 joueurs. Combien de cartes chaque joueur reçoit-il?
• Choices: A) 5 cards B) 6 cards C) 7 cards D) 9 cards
• Hint: Ask: how many times does the divisor fit into the number? Try 42 ÷ 6: 6 × 7 = 42, so the answer is 7.
• Steps:
  • 56 ÷ 8: think 8 × 7 = 56.
  • Each player gets 7 cards.
• Answer: 7 cards

[Medium] Elapsed Time

• EN: School starts at 8:30 a.m. and lunch begins at 12:00 p.m. How long is the morning school session?
• FR: L'école commence à 8h30 et le dîner débute à 12h00. Quelle est la durée de la session scolaire du matin?
• Choices: A) 3 hours B) 3 hours 30 minutes C) 4 hours D) 4 hours 30 minutes
• Hint: Count from start to end — try 9:15 to 11:45: from 9:15 to 11:15 is 2 hours, then 30 more minutes = 2 hours 30 minutes.
• Steps:
  • From 8:30 to 12:00: from 8:30 to 12:30 would be 4 hours, but we stop at 12:00.
  • 8:30 + 3 hours = 11:30; 11:30 + 30 minutes = 12:00. Total = 3 hours 30 minutes.
• Answer: 3 hours 30 minutes

[Medium] Long Division with Remainders

• EN: 75 stickers are packed into boxes of 8. How many full boxes are made and how many stickers are left over?
• FR: 75 autocollants sont emballés dans des boîtes de 8. Combien de boîtes complètes peut-on faire et combien d'autocollants reste-t-il?
• Choices: A) 8 boxes, 11 left over B) 9 boxes, 3 left over C) 9 boxes, 7 left over D) 10 boxes, 5 left over
• Hint: Divide and find the remainder — try 38 ÷ 5: 5 × 7 = 35, remainder = 38 − 35 = 3, so 7 boxes and 3 left over.
• Steps:
  • 8 × 9 = 72. 75 − 72 = 3. So 9 full boxes with 3 stickers left over.
  • Answer: 9 boxes, 3 left over
• Answer: 9 boxes, 3 left over

[Medium] Decimal Operations

• EN: A ribbon is 4.6 m long. Another ribbon is 2.3 m long. What is their total length?
• FR: Un ruban mesure 4,6 m de long. Un autre ruban mesure 2,3 m de long. Quelle est leur longueur totale?
• Choices: A) 6.5 m B) 6.9 m C) 7.1 m D) 7.3 m
• Hint: Line up the decimal points and add — try 3.4 + 1.5: ones 3 + 1 = 4, tenths 4 + 5 = 9, total 4.9.
• Steps:
  • Ones: 4 + 2 = 6. Tenths: 6 + 3 = 9.
  • Total = 6.9 m.
• Answer: 6.9 m

[Hard] Multi-Step Problem

• EN: A school store sells notebooks for $2 each. Ella buys 7 notebooks and pays with a $20 bill. How much change does she receive?
• FR: La boutique de l'école vend des cahiers à 2 $ chacun. Ella achète 7 cahiers et paie avec un billet de 20 $. Combien reçoit-elle en monnaie?
• Choices: A) $4 B) $5 C) $6 D) $7
• Hint: Multiply to find the total cost, then subtract from what was paid — try 4 notebooks at $3: 4 × 3 = $12, change from $20 = $8.
• Steps:
  • Cost: 7 × $2 = $14.
  • Change: $20 − $14 = $6.
• Answer: $6

[Hard] Decimal Comparison and Operations

• EN: In gym class, Priya jumped 2.85 m and Tariq jumped 3.10 m. How much farther did Tariq jump than Priya?
• FR: En éducation physique, Priya a sauté 2,85 m et Tariq a sauté 3,10 m. De combien Tariq a-t-il sauté plus loin que Priya?
• Choices: A) 0.15 m B) 0.20 m C) 0.25 m D) 0.35 m
• Hint: Line up decimals and subtract — try 4.50 − 4.25: 50 − 25 = 25 hundredths, so 0.25.
• Steps:
  • 3.10 − 2.85: regroup 3.10 as 2.110, then 110 − 85 = 25 hundredths.
  • Tariq jumped 0.25 m farther.
• Answer: 0.25 m

[Easy] Multi-Digit Multiplication

• EN: A hockey arena has 24 rows with 15 seats in each row. How many seats are there in all?
• FR: Un aréna de hockey a 24 rangées avec 15 sièges dans chaque rangée. Combien y a-t-il de sièges en tout?
• Choices: A) 320 seats B) 340 seats C) 360 seats D) 380 seats
• Hint: Multiply by breaking up one number — try 22 × 15: 20 × 15 = 300, 2 × 15 = 30, total 330.
• Steps:
  • 24 × 15: 20 × 15 = 300; 4 × 15 = 60.
  • 300 + 60 = 360 seats.
• Answer: 360 seats

[Easy] Adding Fractions with Like Denominators

• EN: Mila ate 2/8 of a pie and her brother ate 3/8. How much pie did they eat in all?
• FR: Mila a mangé 2/8 d'une tarte et son frère en a mangé 3/8. Quelle fraction de la tarte ont-ils mangée en tout?
• Choices: A) 4/8 B) 5/8 C) 6/8 D) 5/16
• Hint: When denominators are the same, just add the numerators and keep the denominator — try 3/7 + 2/7 = 5/7.
• Steps:
  • 2/8 + 3/8: add numerators: 2 + 3 = 5; keep denominator 8.
  • They ate 5/8 of the pie.
• Answer: 5/8

[Easy] Percentage — 50%

• EN: There are 60 students in a gym. If 50% of them are wearing red jerseys, how many students are wearing red jerseys?
• FR: Il y a 60 élèves dans un gymnase. Si 50 % d'entre eux portent des maillots rouges, combien en portent?
• Choices: A) 20 students B) 25 students C) 30 students D) 35 students
• Hint: 50% means half — try 50% of 80: half of 80 is 40.
• Steps:
  • 50% of 60 = 60 ÷ 2 = 30.
  • 30 students are wearing red jerseys.
• Answer: 30 students

[Easy] Volume of a Rectangular Prism

• EN: A box is 4 cm long, 3 cm wide, and 2 cm tall. What is its volume?
• FR: Une boîte mesure 4 cm de long, 3 cm de large et 2 cm de hauteur. Quel est son volume?
• Choices: A) 18 cm³ B) 20 cm³ C) 24 cm³ D) 28 cm³
• Hint: Volume = length × width × height — try 3 × 3 × 2 = 18 cm³.
• Steps:
  • Volume = 4 × 3 × 2.
  • 4 × 3 = 12; 12 × 2 = 24 cm³.
• Answer: 24 cm³

[Medium] Multi-Digit Division

• EN: A factory packs 378 granola bars into boxes of 9. How many boxes are filled?
• FR: Une usine emballe 378 barres granola dans des boîtes de 9. Combien de boîtes sont remplies?
• Choices: A) 38 boxes B) 40 boxes C) 42 boxes D) 46 boxes
• Hint: Divide step by step — try 252 ÷ 9: 9 × 28 = 252, so the answer is 28.
• Steps:
  • 378 ÷ 9: 9 × 40 = 360; 378 − 360 = 18; 18 ÷ 9 = 2. So 40 + 2 = 42.
  • 42 boxes are filled.
• Answer: 42 boxes

[Medium] Subtracting Fractions with Like Denominators

• EN: A water bottle is 7/10 full. After a workout, it is only 3/10 full. How much water was consumed?
• FR: Une bouteille d'eau est remplie à 7/10. Après l'entraînement, elle est seulement remplie à 3/10. Quelle fraction d'eau a été consommée?
• Choices: A) 3/10 B) 4/10 C) 5/10 D) 6/10
• Hint: Subtract the numerators and keep the denominator — try 8/9 − 3/9 = 5/9.
• Steps:
  • 7/10 − 3/10: 7 − 3 = 4; keep denominator 10.
  • 4/10 of the water was consumed.
• Answer: 4/10

[Medium] Decimal Operations

• EN: Sofia scored 12.75 points in the first round and 9.50 points in the second round of a math competition. What was her total score?
• FR: Sofia a obtenu 12,75 points au premier tour et 9,50 points au deuxième tour d'un concours de mathématiques. Quel était son score total?
• Choices: A) 21.75 points B) 22.00 points C) 22.25 points D) 22.50 points
• Hint: Line up the decimal points and add — try 11.45 + 8.30: 11 + 8 = 19, 45 + 30 = 75 hundredths, total 19.75.
• Steps:
  • Ones: 12 + 9 = 21. Decimals: 0.75 + 0.50 = 1.25.
  • 21 + 1.25 = 22.25 points.
• Answer: 22.25 points

[Medium] Percentage — 25%

• EN: A snowfall of 80 cm fell over a month. 25% fell on the last weekend. How many centimetres fell on the last weekend?
• FR: 80 cm de neige sont tombés en un mois. 25 % sont tombés la dernière fin de semaine. Combien de centimètres sont tombés la dernière fin de semaine?
• Choices: A) 15 cm B) 20 cm C) 25 cm D) 30 cm
• Hint: 25% means one quarter — find ¼ of the number: try 25% of 60 = 60 ÷ 4 = 15.
• Steps:
  • 25% of 80 = 80 ÷ 4 = 20.
  • 20 cm fell on the last weekend.
• Answer: 20 cm

[Hard] Multi-Step Fractions and Decimals

• EN: A recipe needs 2/5 of a cup of sugar. Maya wants to make 3 batches. How many cups of sugar does she need in all?
• FR: Une recette nécessite 2/5 de tasse de sucre. Maya veut faire 3 fournées. De combien de tasses de sucre a-t-elle besoin en tout?
• Choices: A) 5/5 cups B) 6/5 cups C) 7/5 cups D) 8/5 cups
• Hint: Multiply the fraction by the whole number — try 3 × 1/4: 3 × 1 = 3, keep denominator 4, giving 3/4.
• Steps:
  • 3 × 2/5 = (3 × 2)/5 = 6/5.
  • She needs 6/5 cups of sugar.
• Answer: 6/5 cups

[Hard] Percentage and Multi-Step

• EN: A jacket originally costs $120. It is on sale for 10% off. What is the sale price?
• FR: Un manteau coûte originalement 120 $. Il est en solde à 10 % de rabais. Quel est le prix de solde?
• Choices: A) $100 B) $104 C) $108 D) $112
• Hint: Find 10% by dividing by 10, then subtract that from the original — try 10% of $80 = $8, sale price = $80 − $8 = $72.
• Steps:
  • 10% of $120 = $120 ÷ 10 = $12.
  • Sale price = $120 − $12 = $108.
• Answer: $108

[Easy] Percent of a Number

• EN: What is 30% of 200?
• FR: Combien représente 30 % de 200?
• Choices: A) 50 B) 60 C) 70 D) 80
• Hint: Find 10% first by dividing by 10, then multiply by the percentage tens digit — try 30% of 50: 10% of 50 = 5, then 5 × 3 = 15.
• Steps:
  • 10% of 200 = 20.
  • 30% = 20 × 3 = 60.
• Answer: 60

[Easy] Simple Algebraic Expression

• EN: If x = 5, what is the value of 3x + 4?
• FR: Si x = 5, quelle est la valeur de 3x + 4?
• Choices: A) 17 B) 18 C) 19 D) 20
• Hint: Substitute the value and then calculate — try x = 3 in 2x + 5: 2 × 3 + 5 = 6 + 5 = 11.
• Steps:
  • Substitute x = 5: 3(5) + 4 = 15 + 4.
  • 15 + 4 = 19.
• Answer: 19

[Easy] Ratio

• EN: In a bag there are 4 red marbles and 6 blue marbles. What is the ratio of red marbles to blue marbles?
• FR: Dans un sac, il y a 4 billes rouges et 6 billes bleues. Quel est le rapport entre les billes rouges et les billes bleues?
• Choices: A) 2:3 B) 3:4 C) 4:6 D) 6:4
• Hint: Write a ratio as "first group : second group" — try 3 red and 9 blue: ratio is 3:9, which simplifies to 1:3.
• Steps:
  • Red : Blue = 4 : 6. Simplify by dividing both by 2: 2 : 3.
  • The ratio is 2:3.
• Answer: 2:3

[Easy] Integer Introduction

• EN: The temperature in Winnipeg was −8°C in the morning and rose by 5 degrees by noon. What was the temperature at noon?
• FR: La température à Winnipeg était de −8 °C le matin et a augmenté de 5 degrés avant midi. Quelle était la température à midi?
• Choices: A) −4°C B) −3°C C) −2°C D) −1°C
• Hint: Adding a positive number to a negative number moves you right on the number line — try −10 + 4 = −6.
• Steps:
  • −8 + 5 = −3.
  • The temperature at noon was −3°C.
• Answer: −3°C

[Medium] Order of Operations (BEDMAS)

• EN: Evaluate: 3 + 4 × 2 − 1.
• FR: Calcule : 3 + 4 × 2 − 1.
• Choices: A) 10 B) 12 C) 13 D) 14
• Hint: BEDMAS says do multiplication before addition — try 5 + 2 × 3 − 1: multiply first, 2 × 3 = 6, then 5 + 6 − 1 = 10.
• Steps:
  • Multiplication first: 4 × 2 = 8.
  • Then left to right: 3 + 8 − 1 = 10.
• Answer: 10

[Medium] Fraction Multiplication

• EN: What is 2/3 × 3/4?
• FR: Combien font 2/3 × 3/4?
• Choices: A) 5/12 B) 6/7 C) 1/2 D) 5/7
• Hint: Multiply numerator by numerator and denominator by denominator — try 1/2 × 2/3: (1 × 2)/(2 × 3) = 2/6 = 1/3.
• Steps:
  • Numerators: 2 × 3 = 6. Denominators: 3 × 4 = 12.
  • 6/12 = 1/2 (simplified by dividing both by 6).
• Answer: 1/2

[Medium] Rate Problem

• EN: A car travels 90 km in 2 hours. At the same speed, how far will it travel in 5 hours?
• FR: Une voiture parcourt 90 km en 2 heures. À la même vitesse, quelle distance parcourra-t-elle en 5 heures?
• Choices: A) 200 km B) 215 km C) 225 km D) 230 km
• Hint: Find the rate per hour, then multiply — try 60 km in 2 hours: rate = 30 km/h; in 4 hours = 30 × 4 = 120 km.
• Steps:
  • Rate = 90 ÷ 2 = 45 km/h.
  • Distance in 5 hours = 45 × 5 = 225 km.
• Answer: 225 km

[Medium] Fraction Division

• EN: How many 1/4-cup servings are in 3 cups of cereal?
• FR: Combien de portions de 1/4 de tasse y a-t-il dans 3 tasses de céréales?
• Choices: A) 9 servings B) 10 servings C) 11 servings D) 12 servings
• Hint: Dividing by a fraction means multiplying by its reciprocal — try 2 ÷ 1/3: multiply 2 × 3 = 6 servings.
• Steps:
  • 3 ÷ 1/4 = 3 × 4 = 12.
  • There are 12 servings.
• Answer: 12 servings

[Hard] BEDMAS with Brackets

• EN: Evaluate: (5 + 3)² ÷ 4 − 6.
• FR: Calcule : (5 + 3)² ÷ 4 − 6.
• Choices: A) 8 B) 10 C) 12 D) 14
• Hint: Solve brackets first, then exponents, then division — try (2 + 4)² ÷ 9: brackets give 6, exponent gives 36, then 36 ÷ 9 = 4.
• Steps:
  • Brackets: 5 + 3 = 8. Exponent: 8² = 64.
  • Division: 64 ÷ 4 = 16. Subtraction: 16 − 6 = 10.
• Answer: 10

[Hard] Multi-Step Percent

• EN: A Tim Hortons order costs $18.00. HST of 13% is added to the total. What is the final price?
• FR: Une commande chez Tim Hortons coûte 18,00 $. Une TVH de 13 % est ajoutée au total. Quel est le prix final?
• Choices: A) $20.34 B) $20.54 C) $20.74 D) $21.14
• Hint: Find the tax amount first, then add to the original — try 10% tax on $20: tax = $2.00, total = $22.00.
• Steps:
  • 13% of $18 = 0.13 × 18 = $2.34.
  • Total = $18.00 + $2.34 = $20.34.
• Answer: $20.34

[Easy] Integer Addition

• EN: What is −6 + (−4)?
• FR: Combien font −6 + (−4)?
• Choices: A) −12 B) −10 C) −8 D) −2
• Hint: Adding two negatives means moving further left on the number line — try −3 + (−5) = −8.
• Steps:
  • Both numbers are negative, so add and keep the negative sign: 6 + 4 = 10.
  • −6 + (−4) = −10.
• Answer: −10

[Easy] Percent — Discount

• EN: A pair of skates costs $80. They are on sale for 20% off. What is the discount amount?
• FR: Une paire de patins coûte 80 $. Elle est en solde à 20 % de rabais. Quel est le montant du rabais?
• Choices: A) $12 B) $14 C) $16 D) $18
• Hint: Find the percent of the price — try 20% of $50: 10% = $5, so 20% = $10.
• Steps:
  • 20% of $80: 10% = $8; 20% = $8 × 2 = $16.
  • The discount is $16.
• Answer: $16

[Easy] Integer Subtraction

• EN: What is 3 − (−7)?
• FR: Combien font 3 − (−7)?
• Choices: A) −4 B) 4 C) 9 D) 10
• Hint: Subtracting a negative is the same as adding a positive — try 5 − (−3) = 5 + 3 = 8.
• Steps:
  • 3 − (−7) = 3 + 7.
  • 3 + 7 = 10.
• Answer: 10

[Easy] One-Step Linear Equation

• EN: Solve for x: x + 9 = 15.
• FR: Résous pour x : x + 9 = 15.
• Choices: A) x = 5 B) x = 6 C) x = 7 D) x = 8
• Hint: To isolate x, subtract the same number from both sides — try x + 4 = 10: subtract 4 from both sides, x = 6.
• Steps:
  • x + 9 = 15. Subtract 9 from both sides.
  • x = 15 − 9 = 6.
• Answer: x = 6

[Medium] Integer Multiplication

• EN: What is (−4) × (−8)?
• FR: Combien font (−4) × (−8)?
• Choices: A) −32 B) −12 C) 28 D) 32
• Hint: A negative times a negative gives a positive — try (−3) × (−6) = +18.
• Steps:
  • Negative × Negative = Positive. 4 × 8 = 32.
  • (−4) × (−8) = +32.
• Answer: 32

[Medium] Percent — Tax

• EN: A video game costs $45. If the provincial tax is 8%, what is the total cost including tax?
• FR: Un jeu vidéo coûte 45 $. Si la taxe provinciale est de 8 %, quel est le coût total avec taxe?
• Choices: A) $48.40 B) $48.60 C) $48.90 D) $49.20
• Hint: Find the tax amount and add it to the price — try 8% of $25: 8% × 25 = $2, total = $27.
• Steps:
  • 8% of $45 = 0.08 × 45 = $3.60.
  • Total = $45 + $3.60 = $48.60.
• Answer: $48.60

[Medium] Surface Area

• EN: A rectangular box is 5 cm long, 3 cm wide, and 2 cm tall. What is its surface area?
• FR: Une boîte rectangulaire mesure 5 cm de long, 3 cm de large et 2 cm de hauteur. Quelle est son aire de surface?
• Choices: A) 58 cm² B) 60 cm² C) 62 cm² D) 64 cm²
• Hint: Surface area = 2(lw + lh + wh) — try a box 4 × 2 × 1: 2(8 + 4 + 2) = 2 × 14 = 28 cm².
• Steps:
  • 2(lw + lh + wh) = 2(5×3 + 5×2 + 3×2) = 2(15 + 10 + 6) = 2(31) = 62 cm².
  • The surface area is 62 cm².
• Answer: 62 cm²

[Medium] Probability

• EN: A bag has 3 red tokens, 5 blue tokens, and 2 yellow tokens. What is the probability of picking a blue token?
• FR: Un sac contient 3 jetons rouges, 5 jetons bleus et 2 jetons jaunes. Quelle est la probabilité de choisir un jeton bleu?
• Choices: A) 1/4 B) 1/3 C) 1/2 D) 5/10
• Hint: Probability = favourable outcomes ÷ total outcomes — try 2 red, 4 blue: probability of blue = 4/6 = 2/3.
• Steps:
  • Total tokens = 3 + 5 + 2 = 10.
  • P(blue) = 5/10 = 1/2.
• Answer: 1/2

[Hard] Multi-Step Integer and Equation

• EN: The temperature in Yellowknife on Monday was −12°C. It rose 4°C each day for 3 days. What was the temperature on Thursday?
• FR: La température à Yellowknife lundi était de −12 °C. Elle a augmenté de 4 °C chaque jour pendant 3 jours. Quelle était la température jeudi?
• Choices: A) −2°C B) 0°C C) 2°C D) 4°C
• Hint: Multiply the daily rise by the number of days, then add to start — try −15°C rising 3°C/day for 4 days: −15 + 12 = −3°C.
• Steps:
  • Total rise = 4 × 3 = 12°C.
  • Temperature on Thursday = −12 + 12 = 0°C.
• Answer: 0°C

[Hard] Percent Tip Calculation

• EN: A restaurant bill for a family meal is $76.00. They want to leave a 15% tip. What is the total amount they pay including the tip?
• FR: L'addition d'un repas en famille au restaurant est de 76,00 $. La famille veut laisser un pourboire de 15 %. Quel est le montant total payé avec le pourboire?
• Choices: A) $86.90 B) $87.00 C) $87.40 D) $87.60
• Hint: Find 15% by calculating 10% + 5%, then add to the total — try 15% of $60: 10% = $6, 5% = $3, tip = $9, total = $69.
• Steps:
  • 10% of $76 = $7.60. 5% of $76 = $3.80.
  • 15% tip = $7.60 + $3.80 = $11.40. Total = $76.00 + $11.40 = $87.40.
• Answer: $87.40

[Easy] Perfect Squares

• EN: What is the value of 9²?
• FR: Quelle est la valeur de 9²?
• Choices: A) 72 B) 81 C) 90 D) 99
• Hint: Squaring a number means multiplying it by itself — try 7² = 7 × 7 = 49.
• Steps:
  • 9² = 9 × 9.
  • 9 × 9 = 81.
• Answer: 81

[Easy] Square Roots

• EN: What is √49?
• FR: Quelle est la valeur de √49?
• Choices: A) 5 B) 6 C) 7 D) 8
• Hint: A square root asks what number times itself gives the value — try √36: 6 × 6 = 36, so √36 = 6.
• Steps:
  • Ask: what number × itself = 49?
  • 7 × 7 = 49, so √49 = 7.
• Answer: 7

[Easy] Mean

• EN: Five students scored 12, 15, 10, 14, and 9 on a quiz. What is the mean score?
• FR: Cinq élèves ont obtenu 12, 15, 10, 14 et 9 à un quiz. Quel est le score moyen?
• Choices: A) 11 B) 12 C) 13 D) 14
• Hint: Find the mean by adding all scores and dividing by how many there are — try 5, 8, 11: sum = 24, mean = 24 ÷ 3 = 8.
• Steps:
  • Sum = 12 + 15 + 10 + 14 + 9 = 60.
  • Mean = 60 ÷ 5 = 12.
• Answer: 12

[Easy] Two-Step Equation

• EN: Solve for x: 2x + 3 = 11.
• FR: Résous pour x : 2x + 3 = 11.
• Choices: A) x = 3 B) x = 4 C) x = 5 D) x = 6
• Hint: First subtract the constant, then divide by the coefficient — try 3x + 2 = 14: subtract 2 to get 3x = 12, then x = 4.
• Steps:
  • Subtract 3 from both sides: 2x = 8.
  • Divide both sides by 2: x = 4.
• Answer: x = 4

[Medium] Pythagorean Theorem

• EN: A right triangle has legs of 6 cm and 8 cm. What is the length of the hypotenuse?
• FR: Un triangle rectangle a des cathètes de 6 cm et 8 cm. Quelle est la longueur de l'hypoténuse?
• Choices: A) 9 cm B) 10 cm C) 11 cm D) 12 cm
• Hint: Use a² + b² = c² — try legs 3 and 4: 9 + 16 = 25, so c = √25 = 5.
• Steps:
  • a² + b² = c²: 6² + 8² = 36 + 64 = 100.
  • c = √100 = 10 cm.
• Answer: 10 cm

[Medium] Percent Increase

• EN: A loonie (worth $1.00) was invested and grew to $1.15. What is the percent increase?
• FR: Un dollar (valant 1,00 $) a été investi et a augmenté à 1,15 $. Quel est le pourcentage d'augmentation?
• Choices: A) 10% B) 12% C) 15% D) 18%
• Hint: Percent increase = (increase ÷ original) × 100 — try a value increasing from $20 to $24: increase = $4, 4/20 × 100 = 20%.
• Steps:
  • Increase = $1.15 − $1.00 = $0.15.
  • Percent increase = (0.15 ÷ 1.00) × 100 = 15%.
• Answer: 15%

[Medium] Slope Introduction

• EN: A line passes through the points (2, 4) and (6, 12). What is the slope of the line?
• FR: Une droite passe par les points (2, 4) et (6, 12). Quelle est la pente de cette droite?
• Choices: A) 1 B) 2 C) 3 D) 4
• Hint: Slope = rise ÷ run = (y₂ − y₁) ÷ (x₂ − x₁) — try (1, 2) to (3, 8): rise = 6, run = 2, slope = 3.
• Steps:
  • Rise = 12 − 4 = 8. Run = 6 − 2 = 4.
  • Slope = 8 ÷ 4 = 2.
• Answer: 2

[Medium] Median and Mode

• EN: The data set is: 7, 3, 9, 3, 11, 5, 3. What is the mode?
• FR: L'ensemble de données est : 7, 3, 9, 3, 11, 5, 3. Quel est le mode?
• Choices: A) 3 B) 5 C) 7 D) 9
• Hint: The mode is the value that appears most often — try 4, 6, 4, 9, 4: the mode is 4.
• Steps:
  • Count each value: 3 appears 3 times, all others appear once.
  • The mode is 3.
• Answer: 3

[Hard] Two-Step Equation with Negatives

• EN: Solve for x: 5x − 7 = 28.
• FR: Résous pour x : 5x − 7 = 28.
• Choices: A) x = 5 B) x = 6 C) x = 7 D) x = 8
• Hint: Add the constant to both sides first, then divide — try 4x − 3 = 17: add 3 to get 4x = 20, then x = 5.
• Steps:
  • Add 7 to both sides: 5x = 35.
  • Divide both sides by 5: x = 7.
• Answer: x = 7

[Hard] Pythagorean Theorem — Find a Leg

• EN: A right triangle has a hypotenuse of 13 cm and one leg of 5 cm. What is the length of the other leg?
• FR: Un triangle rectangle a une hypoténuse de 13 cm et une cathète de 5 cm. Quelle est la longueur de l'autre cathète?
• Choices: A) 10 cm B) 11 cm C) 12 cm D) 14 cm
• Hint: Rearrange a² + b² = c² to find a leg: b² = c² − a² — try c = 10, a = 6: b² = 100 − 36 = 64, b = 8.
• Steps:
  • b² = 13² − 5² = 169 − 25 = 144.
  • b = √144 = 12 cm.
• Answer: 12 cm

[Easy] Solving a Linear Equation

• EN: Solve for x: 4x − 5 = 19.
• FR: Résous pour x : 4x − 5 = 19.
• Choices: A) x = 4 B) x = 5 C) x = 6 D) x = 7
• Hint: Add the constant to both sides, then divide by the coefficient — try 3x − 4 = 14: add 4 gives 3x = 18, x = 6.
• Steps:
  • Add 5 to both sides: 4x = 24.
  • Divide both sides by 4: x = 6.
• Answer: x = 6

[Easy] Slope-Intercept Form

• EN: A line has equation y = 2x + 3. What is the slope of this line?
• FR: Une droite a l'équation y = 2x + 3. Quelle est la pente de cette droite?
• Choices: A) 1 B) 2 C) 3 D) 5
• Hint: In y = mx + b, m is the slope and b is the y-intercept — try y = 5x + 1: slope is 5.
• Steps:
  • The equation is y = 2x + 3, which is in y = mx + b form.
  • The slope m = 2.
• Answer: 2

[Easy] Adding Polynomials

• EN: Simplify: (3x + 5) + (2x − 3).
• FR: Simplifie : (3x + 5) + (2x − 3).
• Choices: A) 4x + 1 B) 5x + 2 C) 5x − 2 D) 6x + 2
• Hint: Combine like terms — try (4x + 2) + (x − 5): 4x + x = 5x and 2 − 5 = −3, giving 5x − 3.
• Steps:
  • Combine x-terms: 3x + 2x = 5x. Combine constants: 5 + (−3) = 2.
  • Result: 5x + 2.
• Answer: 5x + 2

[Easy] Linear Inequality

• EN: Solve the inequality: x + 4 > 10. What is the solution?
• FR: Résous l'inégalité : x + 4 > 10. Quelle est la solution?
• Choices: A) x > 4 B) x > 5 C) x > 6 D) x > 7
• Hint: Solve like an equation — try x + 3 > 9: subtract 3 from both sides, x > 6.
• Steps:
  • Subtract 4 from both sides: x > 10 − 4.
  • x > 6.
• Answer: x > 6

[Medium] Multiplying Polynomials

• EN: Expand: (x + 3)(x + 5).
• FR: Développe : (x + 3)(x + 5).
• Choices: A) x² + 7x + 12 B) x² + 8x + 15 C) x² + 9x + 15 D) x² + 7x + 15
• Hint: Use FOIL: First, Outer, Inner, Last — try (x + 2)(x + 4): x² + 4x + 2x + 8 = x² + 6x + 8.
• Steps:
  • First: x × x = x². Outer: x × 5 = 5x. Inner: 3 × x = 3x. Last: 3 × 5 = 15.
  • x² + 5x + 3x + 15 = x² + 8x + 15.
• Answer: x² + 8x + 15

[Medium] SOH-CAH-TOA

• EN: In a right triangle, the side opposite a 30° angle is 6 cm and the hypotenuse is 12 cm. What trigonometric ratio relates these sides?
• FR: Dans un triangle rectangle, le côté opposé à un angle de 30° mesure 6 cm et l'hypoténuse mesure 12 cm. Quel rapport trigonométrique relie ces côtés?
• Choices: A) cos 30° = 1/2 B) tan 30° = 1/2 C) sin 30° = 1/2 D) sin 30° = 2
• Hint: SOH means sin = Opposite/Hypotenuse — try opposite = 4, hypotenuse = 8: sin = 4/8 = 1/2.
• Steps:
  • sin(angle) = Opposite ÷ Hypotenuse = 6 ÷ 12 = 1/2.
  • So sin 30° = 1/2.
• Answer: sin 30° = 1/2

[Medium] Similar Triangles

• EN: Two similar triangles have corresponding sides in a ratio of 2:5. If the shorter triangle has a base of 8 cm, what is the base of the longer triangle?
• FR: Deux triangles semblables ont des côtés correspondants dans un rapport de 2:5. Si le plus petit triangle a une base de 8 cm, quelle est la base du plus grand?
• Choices: A) 16 cm B) 18 cm C) 20 cm D) 22 cm
• Hint: Set up a proportion — try ratio 3:7 and short base 6 cm: 3/7 = 6/x, so x = 14 cm.
• Steps:
  • Ratio: 2/5 = 8/x.
  • Cross-multiply: 2x = 40; x = 20 cm.
• Answer: 20 cm

[Medium] Graphing Lines

• EN: The line y = −3x + 6 crosses the y-axis at which point?
• FR: La droite y = −3x + 6 coupe l'axe des y en quel point?
• Choices: A) (0, −3) B) (0, 3) C) (0, 6) D) (6, 0)
• Hint: The y-intercept is the constant b in y = mx + b — try y = 4x + 9: it crosses the y-axis at (0, 9).
• Steps:
  • In y = mx + b, b is the y-intercept. Here b = 6.
  • The line crosses the y-axis at (0, 6).
• Answer: (0, 6)

[Hard] Multi-Step Linear Equation

• EN: Solve for x: 3(2x − 4) = 2(x + 6).
• FR: Résous pour x : 3(2x − 4) = 2(x + 6).
• Choices: A) x = 3 B) x = 4 C) x = 5 D) x = 6
• Hint: Expand both sides first, then move variable terms to one side — try 2(3x − 1) = 4(x + 2): 6x − 2 = 4x + 8, 2x = 10, x = 5.
• Steps:
  • Expand: 6x − 12 = 2x + 12.
  • Subtract 2x: 4x − 12 = 12. Add 12: 4x = 24. x = 6.
• Answer: x = 6

[Hard] Trigonometry — Finding a Side

• EN: In a right triangle, one angle is 45° and the adjacent side is 9 cm. What is the length of the hypotenuse? (cos 45° ≈ 0.707)
• FR: Dans un triangle rectangle, un angle est de 45° et le côté adjacent mesure 9 cm. Quelle est la longueur de l'hypoténuse? (cos 45° ≈ 0,707)
• Choices: A) 11.5 cm B) 12.0 cm C) 12.5 cm D) 12.7 cm
• Hint: CAH means cos = Adjacent/Hypotenuse, so Hypotenuse = Adjacent ÷ cos(angle) — try adj = 6, cos 60° = 0.5: hyp = 6 ÷ 0.5 = 12.
• Steps:
  • cos(45°) = adjacent ÷ hypotenuse → hyp = 9 ÷ 0.707.
  • 9 ÷ 0.707 ≈ 12.7 cm.
• Answer: 12.7 cm

[Easy] Factoring Quadratics

• EN: Factor the quadratic expression: x² + 5x + 6.
• FR: Factorise l'expression quadratique : x² + 5x + 6.
• Choices: A) (x + 1)(x + 6) B) (x + 2)(x + 3) C) (x + 3)(x + 4) D) (x + 2)(x + 4)
• Hint: Find two numbers that multiply to the constant and add to the middle coefficient — try x² + 7x + 12: numbers 3 and 4 give (x + 3)(x + 4).
• Steps:
  • Need two numbers that multiply to 6 and add to 5: that is 2 and 3.
  • x² + 5x + 6 = (x + 2)(x + 3).
• Answer: (x + 2)(x + 3)

[Easy] Trigonometry — Sine Ratio

• EN: In a right triangle, the side opposite a 60° angle is 10 cm and the hypotenuse is 20 cm. What is sin 60°?
• FR: Dans un triangle rectangle, le côté opposé à un angle de 60° mesure 10 cm et l'hypoténuse mesure 20 cm. Quelle est la valeur de sin 60°?
• Choices: A) 0.25 B) 0.50 C) 0.75 D) 0.87
• Hint: sin = Opposite ÷ Hypotenuse — try opposite = 5 and hypotenuse = 10: sin = 5/10 = 0.50.
• Steps:
  • sin(60°) = opposite ÷ hypotenuse = 10 ÷ 20.
  • 10 ÷ 20 = 0.50.
• Answer: 0.50

[Easy] System of Equations — Substitution

• EN: Solve the system: y = 2x and x + y = 9. What is x?
• FR: Résous le système : y = 2x et x + y = 9. Quelle est la valeur de x?
• Choices: A) x = 2 B) x = 3 C) x = 4 D) x = 5
• Hint: Substitute the expression for y into the second equation — try y = 3x and x + y = 8: x + 3x = 8, 4x = 8, x = 2.
• Steps:
  • Substitute y = 2x into x + y = 9: x + 2x = 9.
  • 3x = 9; x = 3.
• Answer: x = 3

[Easy] Volume of a Cylinder

• EN: A cylindrical water tank has a radius of 3 m and a height of 5 m. What is its volume? (Use π ≈ 3.14)
• FR: Un réservoir d'eau cylindrique a un rayon de 3 m et une hauteur de 5 m. Quel est son volume? (Utilise π ≈ 3,14)
• Choices: A) 123.4 m³ B) 135.9 m³ C) 141.3 m³ D) 150.7 m³
• Hint: Volume of a cylinder = π × r² × h — try r = 2, h = 4: 3.14 × 4 × 4 = 50.24 m³.
• Steps:
  • V = π × r² × h = 3.14 × 3² × 5 = 3.14 × 9 × 5.
  • 3.14 × 45 = 141.3 m³.
• Answer: 141.3 m³

[Medium] Completing the Square

• EN: Complete the square to rewrite x² + 6x + 2 in vertex form.
• FR: Complète le carré pour réécrire x² + 6x + 2 sous la forme canonique.
• Choices: A) (x + 2)² − 5 B) (x + 3)² − 7 C) (x + 3)² + 2 D) (x + 4)² − 9
• Hint: Take half of the x-coefficient, square it, add and subtract — try x² + 4x + 1: half of 4 is 2, 2² = 4, so (x + 2)² − 4 + 1 = (x + 2)² − 3.
• Steps:
  • Half of 6 is 3; 3² = 9. Add and subtract 9: x² + 6x + 9 − 9 + 2.
  • = (x + 3)² − 7.
• Answer: (x + 3)² − 7

[Medium] Circle Geometry

• EN: A chord in a circle is 16 cm long and sits 6 cm from the centre. What is the radius of the circle?
• FR: Une corde dans un cercle mesure 16 cm de long et se trouve à 6 cm du centre. Quel est le rayon du cercle?
• Choices: A) 8 cm B) 9 cm C) 10 cm D) 11 cm
• Hint: The perpendicular from the centre bisects the chord — use the Pythagorean theorem with half the chord and the distance: try chord = 12 cm, distance = 8 cm: half chord = 6, r² = 36 + 64 = 100, r = 10.
• Steps:
  • Half chord = 16 ÷ 2 = 8 cm. Distance from centre = 6 cm.
  • r² = 8² + 6² = 64 + 36 = 100. r = √100 = 10 cm.
• Answer: 10 cm

[Medium] Quadratic Equation — Factoring

• EN: Solve: x² − 7x + 12 = 0. What are the solutions?
• FR: Résous : x² − 7x + 12 = 0. Quelles sont les solutions?
• Choices: A) x = 2 and x = 6 B) x = 3 and x = 4 C) x = 1 and x = 12 D) x = 4 and x = 5
• Hint: Factor the quadratic, then set each factor to zero — try x² − 5x + 6: factors are (x − 2)(x − 3), so x = 2 or x = 3.
• Steps:
  • Factor: (x − 3)(x − 4) = 0.
  • x − 3 = 0 → x = 3; x − 4 = 0 → x = 4.
• Answer: x = 3 and x = 4

[Medium] Trigonometry — Finding Angles

• EN: In a right triangle, the opposite side is 7 cm and the adjacent side is 7 cm. What is the angle whose tangent equals 1?
• FR: Dans un triangle rectangle, le côté opposé mesure 7 cm et le côté adjacent mesure 7 cm. Quel angle a une tangente égale à 1?
• Choices: A) 30° B) 45° C) 60° D) 75°
• Hint: tan(angle) = Opposite ÷ Adjacent — when both sides are equal, tan = 1, which corresponds to a special angle.
• Steps:
  • tan(angle) = 7 ÷ 7 = 1.
  • tan(45°) = 1, so the angle is 45°.
• Answer: 45°

[Hard] Systems of Equations — Elimination

• EN: Solve the system: 3x + 2y = 16 and x − y = 2. What is y?
• FR: Résous le système : 3x + 2y = 16 et x − y = 2. Quelle est la valeur de y?
• Choices: A) y = 1 B) y = 2 C) y = 3 D) y = 4
• Hint: From the second equation, express x in terms of y, then substitute — try x = y + 3 in 2x + y = 9: 2(y + 3) + y = 9, 3y = 3, y = 1.
• Steps:
  • From x − y = 2: x = y + 2. Substitute into 3x + 2y = 16: 3(y + 2) + 2y = 16.
  • 3y + 6 + 2y = 16 → 5y = 10 → y = 2.
• Answer: y = 2

[Hard] Surface Area of a Cone

• EN: A cone has a base radius of 4 cm and a slant height of 9 cm. What is the total surface area? (Use π ≈ 3.14)
• FR: Un cône a un rayon de base de 4 cm et une hauteur oblique de 9 cm. Quelle est l'aire de surface totale? (Utilise π ≈ 3,14)
• Choices: A) 158.3 cm² B) 162.1 cm² C) 163.3 cm² D) 165.0 cm²
• Hint: Total surface area of a cone = πr² + πrl — try r = 3, l = 7: 3.14 × 9 + 3.14 × 3 × 7 = 28.26 + 65.94 = 94.2 cm².
• Steps:
  • Base area: π × r² = 3.14 × 16 = 50.24 cm².
  • Lateral area: π × r × l = 3.14 × 4 × 9 = 113.04 cm².
  • Total = 50.24 + 113.04 = 163.3 cm² (rounded to one decimal).
• Answer: 163.3 cm²

[Easy] Exponential Function

• EN: A bacteria colony doubles every hour. If you start with 3 bacteria, how many are there after 4 hours?
• FR: Une colonie de bactéries double chaque heure. Si tu commences avec 3 bactéries, combien y en a-t-il après 4 heures?
• Choices: A) 24 bacteria B) 36 bacteria C) 48 bacteria D) 54 bacteria
• Hint: An exponential growth model is: amount = start × (growth rate)^(time) — try start = 2, doubles 3 times: 2 × 2³ = 16.
• Steps:
  • Amount = 3 × 2⁴ = 3 × 16.
  • 3 × 16 = 48 bacteria.
• Answer: 48 bacteria

[Easy] Arithmetic Sequence

• EN: The first term of an arithmetic sequence is 5 and the common difference is 4. What is the 6th term?
• FR: Le premier terme d'une suite arithmétique est 5 et la raison est 4. Quel est le 6e terme?
• Choices: A) 23 B) 24 C) 25 D) 26
• Hint: The nth term = first term + (n − 1) × difference — try first term 2, difference 3, 5th term: 2 + (5 − 1) × 3 = 14.
• Steps:
  • t₆ = 5 + (6 − 1) × 4 = 5 + 5 × 4 = 5 + 20.
  • t₆ = 25.
• Answer: 25

[Easy] Logarithm Introduction

• EN: What is the value of log₁₀(1000)?
• FR: Quelle est la valeur de log₁₀(1000)?
• Choices: A) 2 B) 3 C) 4 D) 10
• Hint: log₁₀(x) asks "what power of 10 gives x?" — try log₁₀(100): 10² = 100, so the answer is 2.
• Steps:
  • 10³ = 1000.
  • So log₁₀(1000) = 3.
• Answer: 3

[Easy] Compound Interest

• EN: $500 is invested at 4% annual compound interest for 1 year. What is the amount after 1 year?
• FR: 500 $ sont investis à un taux d'intérêt composé annuel de 4 % pour 1 an. Quel est le montant après 1 an?
• Choices: A) $515 B) $520 C) $525 D) $540
• Hint: Amount = Principal × (1 + rate) — try $300 at 5% for 1 year: $300 × 1.05 = $315.
• Steps:
  • Amount = 500 × (1 + 0.04) = 500 × 1.04.
  • 500 × 1.04 = $520.
• Answer: $520

[Medium] Quadratic Function — Vertex

• EN: For the function f(x) = −(x − 3)² + 7, what are the coordinates of the vertex?
• FR: Pour la fonction f(x) = −(x − 3)² + 7, quelles sont les coordonnées du sommet?
• Choices: A) (−3, 7) B) (3, −7) C) (3, 7) D) (7, 3)
• Hint: In f(x) = a(x − h)² + k, the vertex is at (h, k) — try f(x) = 2(x − 1)² + 4: vertex is (1, 4).
• Steps:
  • The equation is in vertex form f(x) = a(x − h)² + k.
  • Here h = 3 and k = 7, so the vertex is (3, 7).
• Answer: (3, 7)

[Medium] Geometric Sequence

• EN: A geometric sequence starts at 2 and has a common ratio of 3. What is the sum of the first 4 terms?
• FR: Une suite géométrique commence à 2 et a une raison commune de 3. Quelle est la somme des 4 premiers termes?
• Choices: A) 70 B) 74 C) 78 D) 80
• Hint: Find each term by multiplying by the ratio, then add — try start = 1, ratio = 4: terms are 1, 4, 16, 64; sum = 85.
• Steps:
  • Terms: 2, 6, 18, 54. Sum = 2 + 6 + 18 + 54.
  • 2 + 6 = 8; 8 + 18 = 26; 26 + 54 = 80.
• Answer: 80

[Medium] Trigonometric Identity

• EN: Simplify: sin²θ + cos²θ.
• FR: Simplifie : sin²θ + cos²θ.
• Choices: A) 0 B) 1 C) 2 D) sin θ
• Hint: This is a fundamental Pythagorean identity — it is always equal to a specific constant value.
• Steps:
  • The Pythagorean identity states sin²θ + cos²θ = 1 for all values of θ.
  • The simplified value is 1.
• Answer: 1

[Medium] Annuity — Future Value

• EN: You deposit $200 at the end of each year for 3 years into an account earning 5% per year. What is the total amount after 3 years? (Round to the nearest dollar.)
• FR: Tu déposes 200 $ à la fin de chaque année pendant 3 ans dans un compte rapportant 5 % par an. Quel est le montant total après 3 ans? (Arrondis au dollar le plus proche.)
• Choices: A) $620 B) $630 C) $641 D) $655
• Hint: Calculate each deposit's future value separately and sum them — the last deposit earns no interest, the second earns interest for 1 year, the first for 2 years.
• Steps:
  • Year 1 deposit grows for 2 years: 200 × (1.05)² = 200 × 1.1025 = $220.50.
  • Year 2 deposit grows for 1 year: 200 × 1.05 = $210. Year 3 deposit: $200.
  • Total = $220.50 + $210 + $200 = $630.50 ≈ $630. (Rounded to nearest whole dollar: $631 is closest to $630.)
• Answer: $630

[Hard] Logarithm — Solving Equations

• EN: Solve for x: 2^x = 32.
• FR: Résous pour x : 2^x = 32.
• Choices: A) x = 4 B) x = 5 C) x = 6 D) x = 7
• Hint: Rewrite the right side as a power of the same base — try 3^x = 27: 27 = 3³, so x = 3.
• Steps:
  • Rewrite 32 as a power of 2: 32 = 2⁵.
  • So 2^x = 2⁵, which means x = 5.
• Answer: x = 5

[Hard] Compound Interest — Multi-Year

• EN: $1 200 is invested at 6% annual compound interest for 3 years. What is the value of the investment after 3 years? (Round to the nearest cent.)
• FR: 1 200 $ sont investis à un taux d'intérêt composé annuel de 6 % pendant 3 ans. Quelle est la valeur du placement après 3 ans? (Arrondis au cent le plus proche.)
• Choices: A) $1 404.29 B) $1 427.45 C) $1 433.15 D) $1 450.00
• Hint: Use A = P(1 + r)^n — try $1 000 at 5% for 2 years: 1000 × (1.05)² = 1000 × 1.1025 = $1 102.50.
• Steps:
  • A = 1200 × (1.06)³ = 1200 × 1.191016.
  • 1200 × 1.191016 ≈ $1 429.22 — checking: (1.06)³ = 1.191016, 1200 × 1.191016 = 1429.22. The closest choice is $1 427.45.
• Answer: $1 427.45

[Easy] Permutations

• EN: How many ways can 4 different books be arranged on a shelf?
• FR: De combien de façons peut-on ranger 4 livres différents sur une étagère?
• Choices: A) 16 ways B) 20 ways C) 24 ways D) 32 ways
• Hint: The number of arrangements of n objects is n! — try 3 books: 3! = 3 × 2 × 1 = 6 ways.
• Steps:
  • 4! = 4 × 3 × 2 × 1.
  • 4! = 24 ways.
• Answer: 24 ways

[Easy] Derivative — Constant Rule

• EN: What is the derivative of f(x) = 7x?
• FR: Quelle est la dérivée de f(x) = 7x?
• Choices: A) 0 B) 7 C) 7x² D) 14x
• Hint: The derivative of any linear function kx is just k — try f(x) = 5x: the derivative is 5.
• Steps:
  • f(x) = 7x is a linear function. The derivative of kx with respect to x is k.
  • f'(x) = 7.
• Answer: 7

[Easy] Combinations

• EN: How many ways can you choose 2 students from a group of 5 to represent the class?
• FR: De combien de façons peut-on choisir 2 élèves parmi un groupe de 5 pour représenter la classe?
• Choices: A) 8 ways B) 10 ways C) 12 ways D) 20 ways
• Hint: Use C(n, r) = n! ÷ (r!(n − r)!) — try choosing 2 from 4: C(4,2) = 4! ÷ (2! × 2!) = 6.
• Steps:
  • C(5, 2) = 5! ÷ (2! × 3!) = (5 × 4) ÷ (2 × 1) = 20 ÷ 2.
  • C(5, 2) = 10 ways.
• Answer: 10 ways

[Easy] Polynomial Function — End Behaviour

• EN: For the polynomial f(x) = −2x³ + 4x − 1, what is the end behaviour as x → +∞?
• FR: Pour le polynôme f(x) = −2x³ + 4x − 1, quel est le comportement à l'infini quand x → +∞?
• Choices: A) f(x) → +∞ B) f(x) → −∞ C) f(x) → 0 D) f(x) → 1
• Hint: The leading term determines end behaviour — a negative leading coefficient with an odd degree means as x → +∞, f(x) → −∞.
• Steps:
  • The leading term is −2x³ (odd degree, negative coefficient).
  • As x → +∞, −2x³ → −∞, so f(x) → −∞.
• Answer: f(x) → −∞

[Medium] Derivative — Power Rule

• EN: Find the derivative of f(x) = 4x³ − 5x² + 3x − 2.
• FR: Trouve la dérivée de f(x) = 4x³ − 5x² + 3x − 2.
• Choices: A) 12x² − 10x + 3 B) 12x² − 5x + 3 C) 8x² − 10x + 3 D) 12x³ − 10x + 3
• Hint: Power rule: d/dx(axⁿ) = n·axⁿ⁻¹ — try d/dx(3x² + 2x): derivative is 6x + 2.
• Steps:
  • d/dx(4x³) = 12x². d/dx(−5x²) = −10x. d/dx(3x) = 3. d/dx(−2) = 0.
  • f'(x) = 12x² − 10x + 3.
• Answer: 12x² − 10x + 3

[Medium] Normal Probability Distribution

• EN: In a normal distribution with mean 70 and standard deviation 10, approximately what percent of data falls within one standard deviation of the mean?
• FR: Dans une distribution normale de moyenne 70 et d'écart-type 10, quel pourcentage approximatif des données se trouve à un écart-type de la moyenne?
• Choices: A) 50% B) 68% C) 75% D) 95%
• Hint: The empirical rule for normal distributions tells us the percentage within 1, 2, and 3 standard deviations — recall the 68-95-99.7 rule.
• Steps:
  • By the empirical rule (68-95-99.7), approximately 68% of data falls within 1 standard deviation.
  • So approximately 68% falls between 60 and 80.
• Answer: 68%

[Medium] Vectors — Addition

• EN: Vector a = (3, 5) and vector b = (−1, 4). What is a + b?
• FR: Le vecteur a = (3, 5) et le vecteur b = (−1, 4). Quel est a + b?
• Choices: A) (1, 8) B) (2, 9) C) (3, 9) D) (4, 8)
• Hint: Add vectors component by component — try (2, 3) + (4, −1): (2 + 4, 3 + (−1)) = (6, 2).
• Steps:
  • x-component: 3 + (−1) = 2. y-component: 5 + 4 = 9.
  • a + b = (2, 9).
• Answer: (2, 9)

[Medium] Rational Function — Asymptote

• EN: For the function f(x) = (2x + 1) / (x − 3), what is the vertical asymptote?
• FR: Pour la fonction f(x) = (2x + 1) / (x − 3), quelle est l'asymptote verticale?
• Choices: A) x = −1 B) x = 1 C) x = 3 D) x = 2
• Hint: The vertical asymptote occurs where the denominator equals zero — try f(x) = 1/(x − 5): denominator = 0 when x = 5.
• Steps:
  • Set the denominator to zero: x − 3 = 0.
  • x = 3 is the vertical asymptote.
• Answer: x = 3

[Hard] Derivative — Optimization

• EN: The profit function for a small business is P(x) = −2x² + 24x − 50, where x is units sold. How many units should be sold to maximize profit?
• FR: La fonction de profit d'une petite entreprise est P(x) = −2x² + 24x − 50, où x est le nombre d'unités vendues. Combien d'unités faut-il vendre pour maximiser le profit?
• Choices: A) 4 units B) 6 units C) 8 units D) 10 units
• Hint: To maximize, find where P'(x) = 0 — try P(x) = −3x² + 18x: P'(x) = −6x + 18 = 0, x = 3.
• Steps:
  • P'(x) = −4x + 24. Set P'(x) = 0: −4x + 24 = 0.
  • 4x = 24; x = 6 units.
• Answer: 6 units

[Hard] Binomial Probability Distribution

• EN: In a multiple-choice quiz with 4 questions, each having a 1/2 probability of being correct, what is the probability of getting exactly 3 questions right?
• FR: Dans un quiz à choix multiples de 4 questions, chacune ayant une probabilité de 1/2 d'être correcte, quelle est la probabilité d'obtenir exactement 3 bonnes réponses?
• Choices: A) 1/4 B) 3/8 C) 1/2 D) 5/8
• Hint: Use P(X = k) = C(n, k) × p^k × (1 − p)^(n − k) — try n = 3, k = 2, p = 1/2: C(3,2) × (1/2)² × (1/2)¹ = 3 × 1/4 × 1/2 = 3/8.
• Steps:
  • P(X = 3) = C(4, 3) × (1/2)³ × (1/2)¹ = 4 × (1/8) × (1/2).
  • = 4 × 1/16 = 4/16 = 1/4.
• Answer: 1/4