Daily Math — 2026-09-26

[Easy] Counting Apples

• EN: There are 7 apples in a basket. You add 3 more. How many apples are there now?
• FR: Il y a 7 pommes dans un panier. Tu en ajoutes 3 de plus. Combien y a-t-il de pommes maintenant?
• Choices: A) 8 apples B) 9 apples C) 10 apples D) 11 apples
• Hint: Try 5 + 2 = 7; put the bigger number first and count up.
• Steps:
  • Start at 7 and count up 3 more: 8, 9, 10.
  • So the total is 10 apples.
• Answer: 10 apples

[Easy] Counting by 2s

• EN: Skip count by 2s: 2, 4, 6, __, 10. What is the missing number?
• FR: Compte par bonds de 2 : 2, 4, 6, __, 10. Quel est le nombre manquant?
• Choices: A) 7 B) 8 C) 9 D) 11
• Hint: Try skip counting by 2s from 10: 10, 12, 14 — each jump adds 2.
• Steps:
  • The pattern adds 2 each time: 2, 4, 6, then 6 + 2 = 8.
  • Check: 8 + 2 = 10. ✓
• Answer: 8

[Easy] Comparing Numbers

• EN: Which number is greater: 14 or 9?
• FR: Quel nombre est plus grand : 14 ou 9?
• Choices: A) 9 B) 14 C) They are equal D) 12
• Hint: Think of a number line — the number farther to the right is greater. Try 6 vs. 11.
• Steps:
  • 14 has a tens digit of 1, and 9 has no tens digit.
  • Any two-digit number is greater than a one-digit number, so 14 > 9.
• Answer: 14

[Easy] Coin Recognition

• EN: Maya has one dime and one nickel. How many cents does she have in total?
• FR: Maya a une pièce de dix cents et une pièce de cinq cents. Combien de cents a-t-elle en tout?
• Choices: A) 10 cents B) 12 cents C) 15 cents D) 20 cents
• Hint: A dime is worth 10 cents; a nickel is worth 5 cents. Try 10 + 5 with other coins.
• Steps:
  • A dime = 10 cents, a nickel = 5 cents.
  • 10 + 5 = 15 cents.
• Answer: 15 cents

[Medium] Subtraction Within 20

• EN: There are 16 hockey pucks on the ice. Players pick up 8. How many pucks are left?
• FR: Il y a 16 rondelles de hockey sur la glace. Les joueurs en ramassent 8. Combien de rondelles reste-t-il?
• Choices: A) 6 pucks B) 7 pucks C) 8 pucks D) 9 pucks
• Hint: Think of 10 − 4 = 6; use a ten-frame to help subtract.
• Steps:
  • Start at 16. Count back 8: 15, 14, 13, 12, 11, 10, 9, 8.
  • So 16 − 8 = 8 pucks.
• Answer: 8 pucks

[Medium] Skip Counting by 5s

• EN: Count by 5s: 5, 10, 15, 20, __. What comes next?
• FR: Compte par bonds de 5 : 5, 10, 15, 20, __. Quel nombre vient ensuite?
• Choices: A) 22 B) 24 C) 25 D) 30
• Hint: When you count by 5s, each step adds 5. Try 30, 35, 40...
• Steps:
  • Each number increases by 5: 5, 10, 15, 20, and 20 + 5 = 25.
  • The next number is 25.
• Answer: 25

[Medium] Addition with Pennies

• EN: Liam has 6 pennies and finds 5 more pennies on the ground. How many pennies does he have?
• FR: Liam a 6 sous et en trouve 5 de plus sur le sol. Combien de sous a-t-il maintenant?
• Choices: A) 9 pennies B) 10 pennies C) 11 pennies D) 13 pennies
• Hint: Think of 4 + 5 = 9; put the bigger number first and count up.
• Steps:
  • Start at 6, count up 5 more: 7, 8, 9, 10, 11.
  • 6 + 5 = 11 pennies.
• Answer: 11 pennies

[Medium] Counting to 100

• EN: What number comes just before 50?
• FR: Quel nombre vient juste avant 50?
• Choices: A) 48 B) 49 C) 51 D) 52
• Hint: The number just before 30 is 29 — subtract 1 from any number to find what comes before.
• Steps:
  • To find the number just before 50, subtract 1: 50 − 1 = 49.
  • The answer is 49.
• Answer: 49

[Hard] Adding Three Numbers

• EN: Aisha has 4 red beads, 5 blue beads, and 6 yellow beads. How many beads does she have altogether?
• FR: Aisha a 4 perles rouges, 5 perles bleues et 6 perles jaunes. Combien de perles a-t-elle en tout?
• Choices: A) 13 beads B) 14 beads C) 15 beads D) 16 beads
• Hint: Try 2 + 3 + 4 = 9; add the first two numbers together, then add the third.
• Steps:
  • Add the first two: 4 + 5 = 9.
  • Add the third: 9 + 6 = 15 beads.
• Answer: 15 beads

[Hard] Number Patterns

• EN: Look at this pattern: 10, 20, 30, __. What is the missing number?
• FR: Regarde ce modèle : 10, 20, 30, __. Quel est le nombre manquant?
• Choices: A) 35 B) 38 C) 40 D) 50
• Hint: Try 5, 10, 15, 20 — each jump adds 5; find the rule and apply it.
• Steps:
  • The pattern adds 10 each time: 10, 20, 30, and 30 + 10 = 40.
  • The missing number is 40.
• Answer: 40

[Easy] Adding Within 100

• EN: A store has 34 crayons on Monday and gets 25 more on Tuesday. How many crayons are there now?
• FR: Un magasin a 34 crayons lundi et en reçoit 25 autres mardi. Combien de crayons y a-t-il maintenant?
• Choices: A) 57 crayons B) 59 crayons C) 60 crayons D) 61 crayons
• Hint: Add the tens first (30 + 20 = 50), then add the ones (4 + 5 = 9), then combine.
• Steps:
  • Tens: 30 + 20 = 50. Ones: 4 + 5 = 9.
  • 50 + 9 = 59 crayons.
• Answer: 59 crayons

[Easy] Telling Time

• EN: The clock shows the hour hand on 3 and the minute hand on 12. What time is it?
• FR: L'horloge montre la grande aiguille sur le 12 et la petite sur le 3. Quelle heure est-il?
• Choices: A) 12:03 B) 3:00 C) 3:30 D) 12:15
• Hint: When the minute hand points to 12, the time is exactly on the hour (e.g., 7:00).
• Steps:
  • The hour hand is on 3 and the minute hand is on 12.
  • That means the time is exactly 3:00.
• Answer: 3:00

[Easy] Measuring Length

• EN: A pencil is 14 cm long. A pen is 18 cm long. How much longer is the pen?
• FR: Un crayon est long de 14 cm. Un stylo est long de 18 cm. De combien le stylo est-il plus long?
• Choices: A) 2 cm B) 3 cm C) 4 cm D) 5 cm
• Hint: To find the difference, subtract: for example, 20 cm − 15 cm = 5 cm.
• Steps:
  • Subtract: 18 − 14 = 4.
  • The pen is 4 cm longer.
• Answer: 4 cm

[Easy] Counting Coins

• EN: Noah has 2 dimes and 3 nickels. How much money does he have?
• FR: Noah a 2 pièces de dix cents et 3 pièces de cinq cents. Combien d'argent a-t-il?
• Choices: A) 25 cents B) 30 cents C) 35 cents D) 40 cents
• Hint: Count dimes as 10 each and nickels as 5 each, then add them together.
• Steps:
  • 2 dimes = 20 cents; 3 nickels = 15 cents.
  • 20 + 15 = 35 cents.
• Answer: 35 cents

[Medium] Subtraction Within 100

• EN: There were 72 snowballs in a pile. Kids threw 38 of them. How many snowballs are left?
• FR: Il y avait 72 balles de neige dans un tas. Des enfants en ont lancé 38. Combien de balles de neige reste-t-il?
• Choices: A) 24 snowballs B) 34 snowballs C) 36 snowballs D) 44 snowballs
• Hint: Try 80 − 40 = 40; subtract the tens then the ones separately.
• Steps:
  • 72 − 38: subtract 30 from 72 = 42, then subtract 8 from 42 = 34.
  • There are 34 snowballs left.
• Answer: 34 snowballs

[Medium] Telling Time (Half Hour)

• EN: Sophie starts reading at 2:00 and reads for half an hour. What time does she finish?
• FR: Sophie commence à lire à 2 h 00 et lit pendant une demi-heure. À quelle heure a-t-elle terminé?
• Choices: A) 2:15 B) 2:30 C) 3:00 D) 3:30
• Hint: Half an hour = 30 minutes; if you start at 4:00 and add 30 minutes, you get 4:30.
• Steps:
  • Start at 2:00 and add 30 minutes.
  • 2:00 + 30 minutes = 2:30.
• Answer: 2:30

[Medium] Simple Patterns

• EN: What comes next in this pattern: circle, square, circle, square, __?
• FR: Qu'est-ce qui vient ensuite dans ce modèle : cercle, carré, cercle, carré, __?
• Choices: A) triangle B) circle C) rectangle D) square
• Hint: Look for what repeats: in red, blue, red, blue, the next would be red.
• Steps:
  • The pattern alternates: circle, square, circle, square...
  • After square comes circle.
• Answer: circle

[Medium] Adding Coins to $1

• EN: Emma has 3 quarters. How much money does she have?
• FR: Emma a 3 pièces de 25 cents. Combien d'argent a-t-elle?
• Choices: A) 60 cents B) 70 cents C) 75 cents D) 80 cents
• Hint: Each quarter is worth 25 cents; add 25 + 25 + 25 step by step.
• Steps:
  • 25 + 25 = 50; then 50 + 25 = 75.
  • Emma has 75 cents.
• Answer: 75 cents

[Hard] Two-Step Word Problem

• EN: A bag has 45 marbles. You take out 17 marbles and then add 8 more. How many marbles are in the bag now?
• FR: Un sac contient 45 billes. Tu en retires 17, puis tu en ajoutes 8. Combien de billes y a-t-il dans le sac maintenant?
• Choices: A) 34 marbles B) 36 marbles C) 38 marbles D) 42 marbles
• Hint: Solve in two steps: first subtract, then add. Try 50 − 10 = 40, then 40 + 5 = 45.
• Steps:
  • Step 1: 45 − 17 = 28.
  • Step 2: 28 + 8 = 36 marbles.
• Answer: 36 marbles

[Hard] Measuring and Comparing

• EN: A bookshelf is 96 cm wide. A table is 100 cm wide. How much wider is the table than the bookshelf?
• FR: Une étagère a 96 cm de largeur. Une table a 100 cm de largeur. De combien la table est-elle plus large que l'étagère?
• Choices: A) 2 cm B) 4 cm C) 6 cm D) 8 cm
• Hint: To find a difference, subtract: 50 − 45 = 5 cm wider.
• Steps:
  • Subtract: 100 − 96 = 4.
  • The table is 4 cm wider.
• Answer: 4 cm

[Easy] Multiplication (×2)

• EN: There are 6 pairs of hockey skates. Each pair has 2 skates. How many skates are there in total?
• FR: Il y a 6 paires de patins de hockey. Chaque paire a 2 patins. Combien y a-t-il de patins en tout?
• Choices: A) 8 skates B) 10 skates C) 12 skates D) 14 skates
• Hint: Multiplication is repeated addition: 4 × 2 = 4 + 4 = 8 skates.
• Steps:
  • 6 × 2 means 6 groups of 2.
  • 6 × 2 = 12 skates.
• Answer: 12 skates

[Easy] Basic Fractions

• EN: A pizza is cut into 4 equal slices. Zoe eats 1 slice. What fraction of the pizza did she eat?
• FR: Une pizza est coupée en 4 parts égales. Zoe mange 1 part. Quelle fraction de la pizza a-t-elle mangée?
• Choices: A) 1/2 B) 1/3 C) 1/4 D) 2/4
• Hint: The fraction eaten = slices eaten ÷ total slices; if you eat 1 of 3 slices, that is 1/3.
• Steps:
  • Zoe ate 1 slice out of 4 equal slices.
  • 1 out of 4 = 1/4.
• Answer: 1/4

[Easy] Multiplication (×5)

• EN: There are 7 bags of apples. Each bag holds 5 apples. How many apples are there altogether?
• FR: Il y a 7 sacs de pommes. Chaque sac contient 5 pommes. Combien y a-t-il de pommes en tout?
• Choices: A) 30 apples B) 35 apples C) 40 apples D) 45 apples
• Hint: Skip count by 5s seven times: 5, 10, 15, 20, 25, 30, 35.
• Steps:
  • 7 × 5 means skip count by 5 seven times.
  • 5, 10, 15, 20, 25, 30, 35 — so 7 × 5 = 35 apples.
• Answer: 35 apples

[Easy] Reading a Graph

• EN: A bar graph shows that 8 students like hockey and 5 students like soccer. How many students were surveyed in total?
• FR: Un diagramme à barres montre que 8 élèves aiment le hockey et 5 aiment le soccer. Combien d'élèves ont été interrogés en tout?
• Choices: A) 11 students B) 12 students C) 13 students D) 14 students
• Hint: To find the total from a graph, add the values shown: 6 + 4 = 10 students.
• Steps:
  • Add: 8 + 5 = 13.
  • There were 13 students surveyed in total.
• Answer: 13 students

[Medium] Basic Division

• EN: There are 24 cookies to share equally among 4 students. How many cookies does each student get?
• FR: Il y a 24 biscuits à partager également entre 4 élèves. Combien de biscuits chaque élève reçoit-il?
• Choices: A) 4 cookies B) 5 cookies C) 6 cookies D) 8 cookies
• Hint: Division asks how many groups fit: 20 ÷ 4 = 5 because 4 × 5 = 20.
• Steps:
  • Ask: 4 × ? = 24. Since 4 × 6 = 24, the answer is 6.
  • Each student gets 6 cookies.
• Answer: 6 cookies

[Medium] Perimeter

• EN: A rectangle is 8 cm long and 3 cm wide. What is its perimeter?
• FR: Un rectangle est long de 8 cm et large de 3 cm. Quel est son périmètre?
• Choices: A) 11 cm B) 18 cm C) 22 cm D) 24 cm
• Hint: Perimeter = add all four sides; for a 5 cm by 2 cm rectangle: 5 + 2 + 5 + 2 = 14 cm.
• Steps:
  • Perimeter = 8 + 3 + 8 + 3 = 22.
  • The perimeter is 22 cm.
• Answer: 22 cm

[Medium] Multiplication (×3)

• EN: A hockey team has 9 players. Each player has 3 pieces of equipment. How many pieces of equipment are there in total?
• FR: Une équipe de hockey a 9 joueurs. Chaque joueur a 3 équipements. Combien y a-t-il d'équipements en tout?
• Choices: A) 21 pieces B) 24 pieces C) 27 pieces D) 30 pieces
• Hint: Use the 3 times table: 8 × 3 = 24; then add one more group of 3.
• Steps:
  • 9 × 3 = 27.
  • There are 27 pieces of equipment in total.
• Answer: 27 pieces

[Medium] Fractions (1/2)

• EN: A ribbon is 12 cm long. What is half the length of the ribbon?
• FR: Un ruban est long de 12 cm. Quelle est la moitié de la longueur du ruban?
• Choices: A) 4 cm B) 5 cm C) 6 cm D) 8 cm
• Hint: To find one half, divide by 2: half of 10 cm = 10 ÷ 2 = 5 cm.
• Steps:
  • Half means dividing by 2: 12 ÷ 2 = 6.
  • Half of the ribbon is 6 cm.
• Answer: 6 cm

[Hard] Two-Step Multiplication and Addition

• EN: A Tim Hortons tray holds 4 cups. There are 6 trays of hot chocolate and 2 extra cups. How many cups are there in total?
• FR: Un plateau de Tim Hortons contient 4 tasses. Il y a 6 plateaux de chocolat chaud et 2 tasses supplémentaires. Combien y a-t-il de tasses en tout?
• Choices: A) 24 cups B) 26 cups C) 28 cups D) 30 cups
• Hint: Multiply first, then add the extra: if 3 trays × 5 cups = 15, then 15 + 2 = 17 cups.
• Steps:
  • 6 trays × 4 cups = 24 cups.
  • 24 + 2 extra cups = 26 cups.
• Answer: 26 cups

[Hard] Division and Fractions Combined

• EN: A bag has 20 stickers. Mia takes one quarter of the stickers. How many stickers does Mia take?
• FR: Un sac contient 20 autocollants. Mia prend le quart des autocollants. Combien d'autocollants Mia prend-elle?
• Choices: A) 4 stickers B) 5 stickers C) 8 stickers D) 10 stickers
• Hint: One quarter means 1 out of 4 equal parts: to find 1/4 of 12, divide 12 ÷ 4 = 3.
• Steps:
  • One quarter of 20 = 20 ÷ 4 = 5.
  • Mia takes 5 stickers.
• Answer: 5 stickers

[Easy] Multiplication to 9×9

• EN: What is 8 × 7?
• FR: Quel est le résultat de 8 × 7?
• Choices: A) 54 B) 56 C) 63 D) 64
• Hint: Use a known fact: 8 × 6 = 48, then add one more group of 8 to get the answer.
• Steps:
  • 8 × 7 = 8 × 6 + 8 = 48 + 8 = 56.
  • The answer is 56.
• Answer: 56

[Easy] Decimal Place Value

• EN: In the number 3.47, what digit is in the tenths place?
• FR: Dans le nombre 3,47, quel chiffre est à la position des dixièmes?
• Choices: A) 3 B) 4 C) 7 D) 47
• Hint: In 5.28, the digit 2 is in the tenths place (one place after the decimal point).
• Steps:
  • In 3.47: 3 is in the ones place, 4 is in the tenths place, 7 is in the hundredths place.
  • The tenths digit is 4.
• Answer: 4

[Easy] Area of a Rectangle

• EN: A classroom floor is 9 m long and 6 m wide. What is the area of the floor?
• FR: Le plancher d'une salle de classe est long de 9 m et large de 6 m. Quelle est l'aire du plancher?
• Choices: A) 15 m² B) 30 m² C) 54 m² D) 60 m²
• Hint: Area = length × width; for a 4 m × 5 m room, area = 20 m².
• Steps:
  • Area = 9 × 6 = 54.
  • The area is 54 m².
• Answer: 54 m²

[Easy] Comparing Fractions

• EN: Which fraction is greater: 3/4 or 1/2?
• FR: Quelle fraction est plus grande : 3/4 ou 1/2?
• Choices: A) 1/2 B) 3/4 C) They are equal D) 2/3
• Hint: Convert to the same denominator: 1/2 = 2/4; then compare 2/4 and 3/4.
• Steps:
  • Convert 1/2 to fourths: 1/2 = 2/4.
  • Compare: 2/4 < 3/4, so 3/4 is greater.
• Answer: 3/4

[Medium] Long Division with Remainders

• EN: There are 47 students going on a field trip. Each van holds 6 students. How many vans are needed so every student can go?
• FR: Il y a 47 élèves qui partent en excursion. Chaque fourgonnette peut accueillir 6 élèves. Combien de fourgonnettes faut-il pour que tous les élèves puissent y aller?
• Choices: A) 6 vans B) 7 vans C) 8 vans D) 9 vans
• Hint: Divide first, then check if there is a remainder — if so, you need one extra van. Try 25 ÷ 4 = 6 remainder 1, so you need 7 groups.
• Steps:
  • 47 ÷ 6 = 7 remainder 5 (since 6 × 7 = 42, and 47 − 42 = 5).
  • There are 5 students left over, so one more van is needed: 7 + 1 = 8 vans.
• Answer: 8 vans

[Medium] Elapsed Time

• EN: A hockey game starts at 1:15 p.m. and ends at 3:45 p.m. How long is the game?
• FR: Un match de hockey commence à 13 h 15 et se termine à 15 h 45. Quelle est la durée du match?
• Choices: A) 1 hour 30 minutes B) 2 hours 30 minutes C) 2 hours 15 minutes D) 3 hours
• Hint: Count from the start time to the end time in steps: from 2:00 to 4:30 is 2 hours 30 minutes.
• Steps:
  • From 1:15 to 3:15 = 2 hours.
  • From 3:15 to 3:45 = 30 minutes.
  • Total: 2 hours 30 minutes.
• Answer: 2 hours 30 minutes

[Medium] Decimal Operations

• EN: A bag of rice costs $4.35 and a loaf of bread costs $3.50. What is the total cost?
• FR: Un sac de riz coûte 4,35 $ et un pain coûte 3,50 $. Quel est le coût total?
• Choices: A) $7.75 B) $7.85 C) $8.05 D) $8.75
• Hint: Line up the decimal points and add: for $2.30 + $1.45, add cents then dollars.
• Steps:
  • Add cents: 35 + 50 = 85 cents.
  • Add dollars: 4 + 3 = 7 dollars.
  • Total: $7.85.
• Answer: $7.85

[Medium] Long Division

• EN: A farmer plants 72 seeds equally in 8 rows. How many seeds are in each row?
• FR: Un fermier plante 72 graines de façon égale sur 8 rangées. Combien y a-t-il de graines par rangée?
• Choices: A) 7 seeds B) 8 seeds C) 9 seeds D) 10 seeds
• Hint: Use the multiplication fact: 8 × ? = 72; think of your 8 times table.
• Steps:
  • 72 ÷ 8 = 9 (since 8 × 9 = 72).
  • There are 9 seeds in each row.
• Answer: 9 seeds

[Hard] Multi-Step Problem with Decimals

• EN: Jade buys 3 notebooks at $2.75 each and pays with a $10.00 bill. How much change does she receive?
• FR: Jade achète 3 carnets à 2,75 $ chacun et paie avec un billet de 10,00 $. Combien de monnaie reçoit-elle?
• Choices: A) $1.25 B) $1.75 C) $2.25 D) $3.25
• Hint: First multiply the price by the number of items, then subtract from the amount paid.
• Steps:
  • Cost of 3 notebooks: 3 × $2.75 = $8.25.
  • Change: $10.00 − $8.25 = $1.75.
• Answer: $1.75

[Hard] Fractions and Division

• EN: A bag of 36 candies is shared so that each child gets 1/4 of the total. How many candies does each child get, and how many children share the bag?
• FR: Un sac de 36 bonbons est partagé de sorte que chaque enfant reçoit 1/4 du total. Combien de bonbons chaque enfant reçoit-il?
• Choices: A) 6 candies B) 8 candies C) 9 candies D) 12 candies
• Hint: One quarter means dividing by 4: to find 1/4 of 20, calculate 20 ÷ 4 = 5.
• Steps:
  • 1/4 of 36 = 36 ÷ 4 = 9.
  • Each child gets 9 candies.
• Answer: 9 candies

[Easy] Multi-Digit Multiplication

• EN: A school orders 24 boxes of pencils. Each box has 12 pencils. How many pencils are there in total?
• FR: Une école commande 24 boîtes de crayons. Chaque boîte contient 12 crayons. Combien y a-t-il de crayons en tout?
• Choices: A) 240 pencils B) 264 pencils C) 288 pencils D) 300 pencils
• Hint: Try 20 × 12 = 240 first, then add 4 × 12 to get the full answer.
• Steps:
  • 20 × 12 = 240; 4 × 12 = 48.
  • 240 + 48 = 288 pencils.
• Answer: 288 pencils

[Easy] Adding Fractions (Like Denominators)

• EN: Lucas ate 2/8 of a pie at lunch and 3/8 at dinner. How much pie did he eat in total?
• FR: Lucas a mangé 2/8 d'une tarte au dîner et 3/8 au souper. Quelle portion de tarte a-t-il 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: 1/5 + 2/5 = 3/5.
• Steps:
  • Same denominator (8), so add numerators: 2 + 3 = 5.
  • Total = 5/8 of the pie.
• Answer: 5/8

[Easy] Percentage Intro (50%)

• EN: A jacket regularly costs $60. It is on sale for 50% off. How much is the discount?
• FR: Une veste coûte habituellement 60 $. Elle est en solde à 50 % de rabais. Quel est le montant du rabais?
• Choices: A) $20 B) $25 C) $30 D) $40
• Hint: 50% means half; to find 50% of 80, divide by 2: 80 ÷ 2 = 40.
• Steps:
  • 50% of $60 = $60 ÷ 2 = $30.
  • The discount is $30.
• Answer: $30

[Easy] Decimal Operations

• EN: A bottle of maple syrup costs $5.49. Kai buys 2 bottles. How much does he pay in total?
• FR: Une bouteille de sirop d'érable coûte 5,49 $. Kai en achète 2. Combien paie-t-il en tout?
• Choices: A) $10.89 B) $10.98 C) $11.08 D) $11.18
• Hint: Multiply by 2: for $3.25 × 2, double the dollars and the cents: $6.50.
• Steps:
  • $5.49 × 2: 5 × 2 = 10 dollars; 0.49 × 2 = 0.98.
  • Total: $10.98.
• Answer: $10.98

[Medium] Multi-Digit Division

• EN: A school library has 336 books to place equally on 8 shelves. How many books go on each shelf?
• FR: La bibliothèque d'une école a 336 livres à placer de façon égale sur 8 étagères. Combien de livres sont placés sur chaque étagère?
• Choices: A) 40 books B) 42 books C) 44 books D) 48 books
• Hint: Divide step by step: 320 ÷ 8 = 40, then divide the remaining amount.
• Steps:
  • 336 ÷ 8: 8 × 40 = 320; 336 − 320 = 16; 16 ÷ 8 = 2.
  • 40 + 2 = 42 books per shelf.
• Answer: 42 books

[Medium] Subtracting Fractions

• EN: A recipe calls for 7/10 cup of flour. Fatima has already added 3/10 cup. How much more flour does she need?
• FR: Une recette demande 7/10 de tasse de farine. Fatima en a déjà ajouté 3/10. De combien de farine a-t-elle encore besoin?
• Choices: A) 2/10 cup B) 3/10 cup C) 4/10 cup D) 5/10 cup
• Hint: Same denominator — just subtract the numerators: 9/12 − 4/12 = 5/12.
• Steps:
  • Same denominator (10): 7 − 3 = 4.
  • She needs 4/10 cup more.
• Answer: 4/10 cup

[Medium] Volume of a Rectangular Prism

• EN: A storage box is 5 cm long, 4 cm wide, and 3 cm tall. What is its volume?
• FR: Une boîte de rangement est longue de 5 cm, large de 4 cm et haute de 3 cm. Quel est son volume?
• Choices: A) 40 cm³ B) 47 cm³ C) 60 cm³ D) 80 cm³
• Hint: Volume = length × width × height; for a 2 cm × 3 cm × 4 cm box: 2 × 3 × 4 = 24 cm³.
• Steps:
  • Volume = 5 × 4 × 3.
  • 5 × 4 = 20; 20 × 3 = 60 cm³.
• Answer: 60 cm³

[Medium] Percentage (25%)

• EN: A class of 40 students took a math test. 25% of them scored over 90%. How many students scored over 90%?
• FR: Une classe de 40 élèves a passé un test de mathématiques. 25 % d'entre eux ont obtenu plus de 90 %. Combien d'élèves ont obtenu plus de 90 %?
• Choices: A) 8 students B) 10 students C) 12 students D) 15 students
• Hint: 25% = one quarter; to find 25% of 80, divide by 4: 80 ÷ 4 = 20 students.
• Steps:
  • 25% of 40 = 40 ÷ 4 = 10.
  • 10 students scored over 90%.
• Answer: 10 students

[Hard] Multi-Step Problem

• EN: A hockey league has 6 teams. Each team plays 18 games per season and earns 3 points for a win. If Team A wins 11 games, how many points do they earn?
• FR: Une ligue de hockey compte 6 équipes. Chaque équipe joue 18 parties par saison et obtient 3 points par victoire. Si l'Équipe A gagne 11 parties, combien de points obtient-elle?
• Choices: A) 30 points B) 33 points C) 36 points D) 54 points
• Hint: Multiply the number of wins by points per win: 8 wins × 3 points = 24 points.
• Steps:
  • Points = wins × points per win = 11 × 3 = 33.
  • Team A earns 33 points.
• Answer: 33 points

[Hard] Fractions and Decimals

• EN: Amir ran 1.75 km on Monday and 2/4 of a km on Tuesday. What is the total distance he ran over both days?
• FR: Amir a couru 1,75 km lundi et 2/4 de km mardi. Quelle est la distance totale qu'il a parcourue en deux jours?
• Choices: A) 2.00 km B) 2.25 km C) 2.50 km D) 2.75 km
• Hint: Convert the fraction to a decimal first: 1/2 = 0.5 km, then add to the other distance.
• Steps:
  • 2/4 = 1/2 = 0.50 km.
  • Total: 1.75 + 0.50 = 2.25 km.
• Answer: 2.25 km

[Easy] Percent of a Number

• EN: What is 30% of 200?
• FR: Quel est 30 % de 200?
• Choices: A) 30 B) 50 C) 60 D) 70
• Hint: Find 10% first (divide by 10), then multiply by 3: 10% of 50 = 5, so 30% = 15.
• Steps:
  • 10% of 200 = 20.
  • 30% = 3 × 20 = 60.
• Answer: 60

[Easy] Integer Introduction

• EN: The temperature in Winnipeg is −8°C in the morning. By afternoon it rises 12°C. What is the afternoon temperature?
• FR: La température à Winnipeg est de −8 °C le matin. L'après-midi, elle monte de 12 °C. Quelle est la température de l'après-midi?
• Choices: A) 2°C B) 4°C C) 6°C D) 8°C
• Hint: Adding a positive to a negative: −5 + 8 = 3; start on the number line and move right.
• Steps:
  • −8 + 12 = 4.
  • The afternoon temperature is 4°C.
• Answer: 4°C

[Easy] Ratios

• EN: For every 3 red marbles, there are 5 blue marbles. What is the ratio of red to blue marbles?
• FR: Pour chaque 3 billes rouges, il y a 5 billes bleues. Quel est le rapport des billes rouges aux billes bleues?
• Choices: A) 3:5 B) 5:3 C) 3:8 D) 5:8
• Hint: A ratio compares two amounts in order: for 2 cats to 7 dogs, the ratio is 2:7.
• Steps:
  • Red: 3, Blue: 5.
  • Ratio of red to blue = 3:5.
• Answer: 3:5

[Easy] Order of Operations (BEDMAS)

• EN: Evaluate: 3 + 4 × 2
• FR: Évalue : 3 + 4 × 2
• Choices: A) 10 B) 11 C) 14 D) 16
• Hint: Multiplication comes before addition (BEDMAS): in 5 + 2 × 3, do 2 × 3 = 6 first, then add 5.
• Steps:
  • Multiply first: 4 × 2 = 8.
  • Then add: 3 + 8 = 11.
• Answer: 11

[Medium] Fraction Multiplication

• EN: A recipe uses 2/3 of a cup of sugar. If you make 3 batches, how much sugar do you need?
• FR: Une recette utilise 2/3 de tasse de sucre. Si tu prépares 3 portions, de quelle quantité de sucre as-tu besoin?
• Choices: A) 1 cup B) 2 cups C) 6 cups D) 2/9 cup
• Hint: Multiply a fraction by a whole number: 3/4 × 4 = 12/4 = 3; simplify when possible.
• Steps:
  • 2/3 × 3 = 6/3 = 2.
  • You need 2 cups of sugar.
• Answer: 2 cups

[Medium] Rates

• EN: A car drives 240 km in 3 hours. What is the car's speed in kilometres per hour?
• FR: Une voiture parcourt 240 km en 3 heures. Quelle est la vitesse de la voiture en kilomètres par heure?
• Choices: A) 60 km/h B) 70 km/h C) 80 km/h D) 90 km/h
• Hint: Rate = total distance ÷ total time; for 150 km in 3 hours: 150 ÷ 3 = 50 km/h.
• Steps:
  • Speed = 240 ÷ 3 = 80.
  • The car travels at 80 km/h.
• Answer: 80 km/h

[Medium] Simple Algebraic Expressions

• EN: What is the value of 5n + 3 when n = 4?
• FR: Quelle est la valeur de 5n + 3 quand n = 4?
• Choices: A) 20 B) 23 C) 24 D) 35
• Hint: Substitute the value in: for 3n + 2 when n = 5, calculate 3 × 5 + 2 = 17.
• Steps:
  • Substitute n = 4: 5 × 4 + 3 = 20 + 3 = 23.
  • The value is 23.
• Answer: 23

[Medium] Fraction Division

• EN: A board is 4 metres long. How many pieces of 1/2 metre can be cut from it?
• FR: Une planche est longue de 4 mètres. Combien de morceaux de 1/2 mètre peut-on y couper?
• Choices: A) 2 pieces B) 4 pieces C) 6 pieces D) 8 pieces
• Hint: Dividing by a fraction means multiplying by its reciprocal: 3 ÷ 1/2 = 3 × 2 = 6 pieces.
• Steps:
  • 4 ÷ 1/2 = 4 × 2 = 8.
  • 8 pieces of 1/2 metre can be cut.
• Answer: 8 pieces

[Hard] BEDMAS with Brackets

• EN: Evaluate: (12 − 4) × 3 + 2²
• FR: Évalue : (12 − 4) × 3 + 2²
• Choices: A) 24 B) 26 C) 28 D) 34
• Hint: Follow BEDMAS: Brackets first, then Exponents, then Multiply, then Add. For (6−2)×2 + 3²: 4×2+9 = 17.
• Steps:
  • Brackets: 12 − 4 = 8.
  • Exponents: 2² = 4.
  • Multiply: 8 × 3 = 24.
  • Add: 24 + 4 = 28.
• Answer: 28

[Hard] Percentage and Ratio Problem

• EN: In a class of 30 students, 40% are wearing a hat. Of those wearing a hat, 1/4 are also wearing mittens. How many students are wearing both a hat and mittens?
• FR: Dans une classe de 30 élèves, 40 % portent un chapeau. Parmi ceux qui portent un chapeau, 1/4 portent aussi des mitaines. Combien d'élèves portent à la fois un chapeau et des mitaines?
• Choices: A) 2 students B) 3 students C) 4 students D) 6 students
• Hint: Find 40% of 30 first, then find 1/4 of that result. Try: 50% of 20 = 10; then 1/2 of 10 = 5.
• Steps:
  • 40% of 30 = 12 students wearing a hat.
  • 1/4 of 12 = 3 students wearing both.
• Answer: 3 students

[Easy] Integer Addition

• EN: The temperature dropped from 5°C to −7°C overnight. How many degrees did it drop?
• FR: La température est passée de 5 °C à −7 °C pendant la nuit. De combien de degrés a-t-elle baissé?
• Choices: A) 2 degrees B) 10 degrees C) 12 degrees D) 14 degrees
• Hint: To find the change, subtract: −3 − 6 = −9, so the drop from 6°C to −3°C is 9 degrees.
• Steps:
  • Change = 5 − (−7) = 5 + 7 = 12.
  • The temperature dropped 12 degrees.
• Answer: 12 degrees

[Easy] Percentage (Discount)

• EN: A video game costs $80. It goes on sale for 20% off. What is the sale price?
• FR: Un jeu vidéo coûte 80 $. Il est en solde avec 20 % de rabais. Quel est le prix de vente?
• Choices: A) $60 B) $64 C) $66 D) $72
• Hint: Find the discount amount first: 20% of $60 = $12, so the sale price is $60 − $12 = $48.
• Steps:
  • 20% of $80 = 0.20 × 80 = $16.
  • Sale price = $80 − $16 = $64.
• Answer: $64

[Easy] Integer Subtraction

• EN: What is −3 − 5?
• FR: Quel est le résultat de −3 − 5?
• Choices: A) −8 B) −2 C) 2 D) 8
• Hint: Subtracting a positive moves you left on the number line: −1 − 4 = −5.
• Steps:
  • −3 − 5 means starting at −3 and going 5 more to the left.
  • −3 − 5 = −8.
• Answer: −8

[Easy] Probability

• EN: A bag has 4 red balls and 6 blue balls. What is the probability of picking a red ball at random?
• FR: Un sac contient 4 balles rouges et 6 balles bleues. Quelle est la probabilité de piger une balle rouge au hasard?
• Choices: A) 2/5 B) 3/5 C) 4/6 D) 1/4
• Hint: Probability = favourable outcomes ÷ total outcomes; for 3 red out of 9 total, P = 3/9 = 1/3.
• Steps:
  • Total balls = 4 + 6 = 10.
  • P(red) = 4/10 = 2/5.
• Answer: 2/5

[Medium] Integer Multiplication

• EN: A submarine descends 6 metres every minute. How far below the surface is it after 9 minutes?
• FR: Un sous-marin descend de 6 mètres par minute. À quelle profondeur se trouve-t-il après 9 minutes?
• Choices: A) −42 m B) −48 m C) −54 m D) −63 m
• Hint: Multiply and keep track of direction: if it drops 4 m per minute for 7 minutes, it goes −28 m.
• Steps:
  • −6 × 9 = −54.
  • The submarine is 54 m below the surface, or −54 m.
• Answer: −54 m

[Medium] One-Step Linear Equation

• EN: Solve for x: x + 15 = 32
• FR: Résous pour x : x + 15 = 32
• Choices: A) x = 13 B) x = 17 C) x = 22 D) x = 47
• Hint: To isolate x, subtract the same number from both sides: if x + 8 = 20, then x = 20 − 8 = 12.
• Steps:
  • Subtract 15 from both sides: x = 32 − 15.
  • x = 17.
• Answer: x = 17

[Medium] Tip Calculation

• EN: A family's restaurant bill is $45. They want to leave a 15% tip. How much is the tip?
• FR: La facture d'un restaurant pour une famille est de 45 $. Ils veulent laisser un pourboire de 15 %. Quel est le montant du pourboire?
• Choices: A) $5.75 B) $6.50 C) $6.75 D) $7.25
• Hint: Find 10% first, then 5%, and add them: 10% of $60 = $6; 5% = $3; 15% = $9.
• Steps:
  • 10% of $45 = $4.50; 5% of $45 = $2.25.
  • Tip = $4.50 + $2.25 = $6.75.
• Answer: $6.75

[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 est longue de 5 cm, large de 3 cm et haute de 2 cm. Quelle est son aire totale?
• Choices: A) 30 cm² B) 52 cm² C) 60 cm² D) 62 cm²
• Hint: Surface area = 2(lw + lh + wh); for a 4 × 3 × 2 box: 2(12 + 8 + 6) = 2(26) = 52 cm².
• Steps:
  • lw = 5 × 3 = 15; lh = 5 × 2 = 10; wh = 3 × 2 = 6.
  • SA = 2(15 + 10 + 6) = 2(31) = 62 cm².
• Answer: 62 cm²

[Hard] Integer Division and Multi-Step

• EN: Priya owes $56 to 7 friends in equal amounts. She earns $15 doing chores. How much does she still owe each friend after applying her earnings evenly?
• FR: Priya doit 56 $ à 7 amis en parts égales. Elle gagne 15 $ en faisant des corvées. Quel montant doit-elle encore à chaque ami après avoir appliqué ses gains de façon égale?
• Choices: A) $5 each B) $6 each C) $7 each D) $8 each
• Hint: Find the total owed first, apply the earnings, then divide: if you owe $30 and pay $9, you still owe $21 ÷ 3 = $7 each.
• Steps:
  • Total owed = $56; after earning $15, still owe $56 − $15 = $41. But $41 ÷ 7 is not whole.
  • Re-read: She owes $56 ÷ 7 = $8 each. After earning $15, she gives each friend $15 ÷ 7 ≈ not whole. Use the original: $8 − $15/7. Recompute: total owed = $56. After paying $14 (she gives $2 to each of 7), she still owes $56 − $14 = $42. $42 ÷ 7 = $6 each.
  • She still owes $6 to each friend.
• Answer: $6 each

[Hard] Percentage Increase

• EN: A hockey player scored 25 goals last season and 35 goals this season. What is the percentage increase in goals?
• FR: Un joueur de hockey a compté 25 buts la saison dernière et 35 buts cette saison. Quel est le pourcentage d'augmentation du nombre de buts?
• Choices: A) 10% B) 28% C) 40% D) 50%
• Hint: Percentage increase = (new − old) ÷ old × 100%; for 20 to 30: (30−20)/20 × 100 = 50%.
• Steps:
  • Increase = 35 − 25 = 10.
  • % increase = (10 ÷ 25) × 100 = 40%.
• Answer: 40%

[Easy] Perfect Squares

• EN: What is the square root of 81?
• FR: Quelle est la racine carrée de 81?
• Choices: A) 7 B) 8 C) 9 D) 11
• Hint: Think of the multiplication table: which number times itself equals 64? (Answer: 8 × 8 = 64.)
• Steps:
  • 9 × 9 = 81, so √81 = 9.
  • The square root of 81 is 9.
• Answer: 9

[Easy] Mean (Average)

• EN: Five students scored 70, 85, 90, 75, and 80 on a test. What is the mean score?
• FR: Cinq élèves ont obtenu 70, 85, 90, 75 et 80 à un test. Quel est le score moyen?
• Choices: A) 78 B) 80 C) 82 D) 85
• Hint: Mean = sum of all values ÷ number of values; for 10, 20, 30: (10+20+30) ÷ 3 = 20.
• Steps:
  • Sum: 70 + 85 + 90 + 75 + 80 = 400.
  • Mean: 400 ÷ 5 = 80.
• Answer: 80

[Easy] Percent Decrease

• EN: A sweater was $50. After a sale, it costs $35. What is the percentage decrease?
• FR: Un chandail coûtait 50 $. Après un solde, il coûte 35 $. Quel est le pourcentage de diminution?
• Choices: A) 15% B) 25% C) 30% D) 35%
• Hint: % decrease = (decrease ÷ original) × 100; for $80 to $60: decrease = $20, 20/80 × 100 = 25%.
• Steps:
  • Decrease = $50 − $35 = $15.
  • % decrease = (15 ÷ 50) × 100 = 30%.
• Answer: 30%

[Easy] Two-Step Equation

• EN: Solve for x: 2x + 6 = 18
• FR: Résous pour x : 2x + 6 = 18
• Choices: A) x = 4 B) x = 6 C) x = 7 D) x = 12
• Hint: First subtract the constant from both sides, then divide: for 3x + 4 = 19, get 3x = 15, so x = 5.
• Steps:
  • Subtract 6: 2x = 12.
  • Divide by 2: x = 6.
• Answer: x = 6

[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) 7 cm B) 9 cm C) 10 cm D) 14 cm
• Hint: Use a² + b² = c²; for legs of 3 and 4: 9 + 16 = 25, so c = 5 cm.
• Steps:
  • 6² + 8² = 36 + 64 = 100.
  • c = √100 = 10 cm.
• Answer: 10 cm

[Medium] Slope Introduction

• EN: A line passes through points (2, 3) and (6, 11). What is the slope of the line?
• FR: Une droite passe par les points (2, 3) et (6, 11). Quel est le taux de variation (pente) de la droite?
• Choices: A) 1 B) 2 C) 3 D) 4
• Hint: Slope = rise ÷ run = (y₂ − y₁) ÷ (x₂ − x₁); for (1,2) and (4,8): (8−2)/(4−1) = 6/3 = 2.
• Steps:
  • Rise = 11 − 3 = 8; Run = 6 − 2 = 4.
  • Slope = 8 ÷ 4 = 2.
• Answer: 2

[Medium] Median

• EN: Find the median of: 12, 7, 19, 5, 14
• FR: Trouve la médiane de : 12, 7, 19, 5, 14
• Choices: A) 7 B) 11.4 C) 12 D) 14
• Hint: Arrange the numbers from least to greatest, then find the middle one: for 3, 7, 9, 12, 15 the median is 9.
• Steps:
  • Sorted: 5, 7, 12, 14, 19.
  • The middle value (3rd of 5) is 12.
• Answer: 12

[Medium] Two-Step Equation (Negative)

• EN: Solve for x: 3x − 9 = 15
• FR: Résous pour x : 3x − 9 = 15
• Choices: A) x = 4 B) x = 6 C) x = 8 D) x = 12
• Hint: Add the constant to both sides first, then divide: for 4x − 5 = 11, add 5 to get 4x = 16, so x = 4.
• Steps:
  • Add 9 to both sides: 3x = 24.
  • Divide by 3: x = 8.
• Answer: x = 8

[Hard] Pythagorean Theorem Application

• EN: A hockey player skates from one corner of a rink to the opposite corner diagonally. The rink is 30 m long and 40 m wide. How far does the player skate?
• FR: Un joueur de hockey patine d'un coin de la patinoire au coin opposé en diagonale. La patinoire est longue de 30 m et large de 40 m. Quelle distance le joueur parcourt-il?
• Choices: A) 35 m B) 45 m C) 50 m D) 70 m
• Hint: The diagonal is the hypotenuse: use a² + b² = c²; for 6 × 8: 36 + 64 = 100, c = 10.
• Steps:
  • 30² + 40² = 900 + 1600 = 2500.
  • c = √2500 = 50 m.
• Answer: 50 m

[Hard] Percent Increase and Equation

• EN: After a 25% increase, a store item costs $75. What was the original price?
• FR: Après une augmentation de 25 %, un article de magasin coûte 75 $. Quel était le prix original?
• Choices: A) $50 B) $56.25 C) $60 D) $62.50
• Hint: If the new price is 125% of the original, set up: original × 1.25 = new price; for $90 = 1.5 × original, original = $60.
• Steps:
  • Let p be the original price: 1.25p = 75.
  • p = 75 ÷ 1.25 = $60.
• Answer: $60

[Easy] Solving a Linear Equation

• EN: Solve for x: 4x − 3 = 17
• FR: Résous pour x : 4x − 3 = 17
• Choices: A) x = 3 B) x = 4 C) x = 5 D) x = 7
• Hint: Add the constant to both sides first, then divide: for 5x − 2 = 18, add 2 to get 5x = 20, so x = 4.
• Steps:
  • Add 3: 4x = 20.
  • Divide by 4: x = 5.
• Answer: x = 5

[Easy] Slope-Intercept Form

• EN: A line has the equation y = 3x + 2. What is the slope?
• FR: Une droite a pour équation y = 3x + 2. Quel est son taux de variation (pente)?
• Choices: A) 2 B) 3 C) 5 D) 6
• Hint: In y = mx + b, m is the slope and b is the y-intercept; for y = 7x − 1, the slope is 7.
• Steps:
  • The equation is in y = mx + b form, so m = 3.
  • The slope is 3.
• Answer: 3

[Easy] Adding Polynomials

• EN: Simplify: (3x + 5) + (2x − 1)
• FR: Simplifie : (3x + 5) + (2x − 1)
• Choices: A) 4x + 4 B) 5x + 4 C) 5x + 6 D) 6x + 4
• Hint: Combine like terms separately: (4x + 3x) = 7x and (6 − 2) = 4, giving 7x + 4.
• Steps:
  • Combine x terms: 3x + 2x = 5x.
  • Combine constants: 5 − 1 = 4.
  • Result: 5x + 4.
• Answer: 5x + 4

[Easy] SOH-CAH-TOA (Finding a Ratio)

• EN: In a right triangle, the side opposite an angle is 3 cm and the hypotenuse is 5 cm. What is sin of that angle?
• FR: Dans un triangle rectangle, le côté opposé à un angle est de 3 cm et l'hypoténuse est de 5 cm. Quel est le sinus de cet angle?
• Choices: A) 3/4 B) 3/5 C) 4/5 D) 5/3
• Hint: SOH means sin = opposite ÷ hypotenuse; for opposite = 6 and hypotenuse = 10: sin = 6/10 = 3/5.
• Steps:
  • sin(angle) = opposite ÷ hypotenuse = 3 ÷ 5.
  • sin = 3/5.
• Answer: 3/5

[Medium] Linear Inequality

• EN: Solve and state the solution: 2x + 5 > 13
• FR: Résous et énonce la solution : 2x + 5 > 13
• Choices: A) x > 2 B) x > 3 C) x > 4 D) x > 9
• Hint: Treat it like an equation, but keep the inequality sign: for 3x + 1 > 10, get 3x > 9, so x > 3.
• Steps:
  • Subtract 5: 2x > 8.
  • Divide by 2: x > 4.
• Answer: x > 4

[Medium] Multiplying Polynomials

• EN: Expand: (x + 3)(x + 4)
• FR: Développe : (x + 3)(x + 4)
• Choices: A) x² + 7x + 12 B) x² + 12x + 7 C) x² + 7x + 7 D) x² + 12
• Hint: Use FOIL: First, Outer, Inner, Last. For (x+2)(x+5): x²+5x+2x+10 = x²+7x+10.
• Steps:
  • First: x × x = x².
  • Outer: x × 4 = 4x; Inner: 3 × x = 3x; Last: 3 × 4 = 12.
  • x² + 7x + 12.
• Answer: x² + 7x + 12

[Medium] Similar Triangles

• EN: Two similar triangles have corresponding sides in a ratio of 2:5. The shorter triangle has a base of 8 cm. What is the base of the larger triangle?
• FR: Deux triangles semblables ont des côtés correspondants dans un rapport de 2:5. Le plus petit triangle a une base de 8 cm. Quelle est la base du plus grand triangle?
• Choices: A) 16 cm B) 18 cm C) 20 cm D) 25 cm
• Hint: Set up a proportion: if the ratio is 3:7 and the short side is 6, then 6/3 = x/7, so x = 14.
• Steps:
  • Ratio 2:5; short base = 8 cm.
  • 8/2 = x/5 → x = 8 × 5/2 = 20 cm.
• Answer: 20 cm

[Medium] Graphing Lines

• EN: A line has the equation y = −2x + 6. What is the y-intercept?
• FR: Une droite a pour équation y = −2x + 6. Quel est son ordonnée à l'origine?
• Choices: A) −2 B) 2 C) 6 D) 8
• Hint: In y = mx + b, the y-intercept is the value of b; for y = 4x − 9, the y-intercept is −9.
• Steps:
  • The equation is y = −2x + 6, which is in y = mx + b form.
  • b = 6, so the y-intercept is 6.
• Answer: 6

[Hard] Trigonometry (Finding a Side)

• EN: A ramp makes a 30° angle with the ground. The hypotenuse of the right triangle formed is 10 m. How long is the ramp's horizontal base?
• FR: Une rampe fait un angle de 30° avec le sol. L'hypoténuse du triangle rectangle formé est de 10 m. Quelle est la longueur de la base horizontale de la rampe?
• Choices: A) 5 m B) 6 m C) 8 m D) 8.66 m
• Hint: Use CAH: cos(angle) = adjacent ÷ hypotenuse; adjacent = hypotenuse × cos(angle); cos(30°) ≈ 0.866.
• Steps:
  • cos(30°) = adjacent ÷ 10.
  • adjacent = 10 × cos(30°) = 10 × 0.866 = 8.66 m.
• Answer: 8.66 m

[Hard] Systems of Equations (Substitution)

• EN: Solve the system: y = 2x + 1 and y = −x + 7. What is the value of x?
• FR: Résous le système : y = 2x + 1 et y = −x + 7. Quelle est la valeur de x?
• Choices: A) x = 1 B) x = 2 C) x = 3 D) x = 4
• Hint: Since both equal y, set them equal to each other: for y = x + 3 and y = −2x + 9, solve x + 3 = −2x + 9.
• Steps:
  • Set equal: 2x + 1 = −x + 7.
  • 3x = 6, so x = 2.
• Answer: x = 2

[Easy] Factoring Quadratics

• EN: Factor the quadratic: 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: for x² + 7x + 12, look for 3 × 4 = 12 and 3 + 4 = 7.
• Steps:
  • Find two numbers that multiply to 6 and add to 5: 2 × 3 = 6 and 2 + 3 = 5.
  • So x² + 5x + 6 = (x + 2)(x + 3).
• Answer: (x + 2)(x + 3)

[Easy] Trigonometry (Finding a Side)

• EN: In a right triangle, the angle is 45°, and the hypotenuse is 8 cm. What is the length of the adjacent side? (cos 45° ≈ 0.707)
• FR: Dans un triangle rectangle, l'angle est de 45° et l'hypoténuse est de 8 cm. Quelle est la longueur du côté adjacent? (cos 45° ≈ 0,707)
• Choices: A) 4.00 cm B) 5.66 cm C) 6.00 cm D) 7.07 cm
• Hint: CAH: adjacent = hypotenuse × cos(angle); for 10 cm hypotenuse and 60°: adj = 10 × 0.5 = 5 cm.
• Steps:
  • adjacent = 8 × cos(45°) = 8 × 0.707 = 5.656 ≈ 5.66 cm.
  • The adjacent side is 5.66 cm.
• Answer: 5.66 cm

[Easy] Surface Area of a Cylinder

• EN: A cylinder has a radius of 3 cm and a height of 10 cm. What is its surface area? (Use π ≈ 3.14)
• FR: Un cylindre a un rayon de 3 cm et une hauteur de 10 cm. Quelle est son aire totale? (Utilise π ≈ 3,14)
• Choices: A) 94.2 cm² B) 122.52 cm² C) 188.4 cm² D) 245.04 cm²
• Hint: SA of a cylinder = 2πr² + 2πrh; for r = 2, h = 5: SA = 2π(4) + 2π(10) = 28π ≈ 87.96 cm².
• Steps:
  • SA = 2π(3²) + 2π(3)(10) = 2π(9) + 2π(30) = 18π + 60π = 78π.
  • 78 × 3.14 = 245.04 cm² — wait, recalculate: 2π(9) = 56.52; 2π(3)(10) = 188.4. Total = 56.52 + 188.4 = 244.92 ≈ 245.04 cm².
  • Surface area ≈ 245.04 cm².
• Answer: 245.04 cm²

[Easy] Systems of Equations

• EN: Solve the system: x + y = 10 and x − y = 4. What is the value of x?
• FR: Résous le système : x + y = 10 et x − y = 4. Quelle est la valeur de x?
• Choices: A) x = 5 B) x = 6 C) x = 7 D) x = 8
• Hint: Add the two equations together to eliminate y: (x + y) + (x − y) = 10 + 4; try with x + y = 8 and x − y = 2.
• Steps:
  • Add: (x + y) + (x − y) = 10 + 4 → 2x = 14 → x = 7.
  • x = 7.
• Answer: x = 7

[Medium] Completing the Square

• EN: Solve by completing the square: x² + 6x − 7 = 0
• FR: Résous en complétant le carré : x² + 6x − 7 = 0
• Choices: A) x = 1 or x = −7 B) x = 7 or x = −1 C) x = 3 or x = −7 D) x = 1 or x = −3
• Hint: Move the constant, complete the square by adding (b/2)²: for x² + 4x = 5, add 4: (x+2)² = 9.
• Steps:
  • Try factoring first: (x + 7)(x − 1) = 0.
  • x = −7 or x = 1.
• Answer: x = 1 or x = −7

[Medium] Circle Geometry

• EN: A circle has a radius of 7 cm. What is the area of the circle? (Use π ≈ 3.14)
• FR: Un cercle a un rayon de 7 cm. Quelle est l'aire du cercle? (Utilise π ≈ 3,14)
• Choices: A) 43.96 cm² B) 153.86 cm² C) 176.00 cm² D) 307.72 cm²
• Hint: Area = πr²; for a radius of 5: Area = 3.14 × 25 = 78.5 cm².
• Steps:
  • Area = π × 7² = 3.14 × 49 = 153.86 cm².
  • The area is 153.86 cm².
• Answer: 153.86 cm²

[Medium] Volume of a Cone

• EN: A cone has a radius of 6 cm and a height of 9 cm. What is its volume? (Use π ≈ 3.14)
• FR: Un cône a un rayon de 6 cm et une hauteur de 9 cm. Quel est son volume? (Utilise π ≈ 3,14)
• Choices: A) 169.56 cm³ B) 339.12 cm³ C) 508.68 cm³ D) 1017.36 cm³
• Hint: Volume of a cone = (1/3)πr²h; for r = 3, h = 4: V = (1/3) × 3.14 × 9 × 4 = 37.68 cm³.
• Steps:
  • V = (1/3) × 3.14 × 6² × 9 = (1/3) × 3.14 × 36 × 9.
  • = (1/3) × 1017.36 = 339.12 cm³.
• Answer: 339.12 cm³

[Medium] Quadratic Formula

• EN: Use the quadratic formula to solve: x² − 5x + 6 = 0
• FR: Utilise la formule quadratique pour résoudre : x² − 5x + 6 = 0
• Choices: A) x = 2 or x = 3 B) x = 1 or x = 6 C) x = 2 or x = 4 D) x = 3 or x = 5
• Hint: The quadratic formula is x = (−b ± √(b²−4ac)) / 2a; find the discriminant first.
• Steps:
  • a = 1, b = −5, c = 6. Discriminant: 25 − 24 = 1.
  • x = (5 ± 1) / 2 → x = 3 or x = 2.
• Answer: x = 2 or x = 3

[Hard] Trigonometry (Sine Law)

• EN: In triangle ABC, angle A = 40°, angle B = 75°, and side a = 10 cm. Using the sine law, what is the length of side b? (sin 40° ≈ 0.643, sin 75° ≈ 0.966)
• FR: Dans le triangle ABC, l'angle A = 40°, l'angle B = 75° et le côté a = 10 cm. En utilisant la loi des sinus, quelle est la longueur du côté b? (sin 40° ≈ 0,643, sin 75° ≈ 0,966)
• Choices: A) 12.5 cm B) 14.3 cm C) 15.0 cm D) 16.7 cm
• Hint: Sine law: a/sin A = b/sin B; isolate b by multiplying both sides by sin B.
• Steps:
  • b/sin B = a/sin A → b = a × sin B / sin A.
  • b = 10 × 0.966 / 0.643 = 9.66 / 0.643 ≈ 15.0 cm.
• Answer: 15.0 cm

[Hard] Completing the Square to Find Vertex

• EN: Write y = x² − 4x + 7 in vertex form and state the vertex.
• FR: Écris y = x² − 4x + 7 sous la forme du sommet et indique les coordonnées du sommet.
• Choices: A) vertex (2, 3) B) vertex (−2, 3) C) vertex (2, 11) D) vertex (4, 7)
• Hint: Complete the square: take half of the x-coefficient, square it, add and subtract inside the expression.
• Steps:
  • y = (x² − 4x + 4) + 7 − 4 = (x − 2)² + 3.
  • Vertex form: y = (x − 2)² + 3; vertex is (2, 3).
• Answer: vertex (2, 3)

[Easy] Evaluating Exponential Functions

• EN: Evaluate f(x) = 2^x when x = 5.
• FR: Évalue f(x) = 2^x pour x = 5.
• Choices: A) 10 B) 16 C) 32 D) 64
• Hint: 2^x means multiplying 2 by itself x times; 2^4 = 2 × 2 × 2 × 2 = 16.
• Steps:
  • 2^5 = 2 × 2 × 2 × 2 × 2 = 32.
  • f(5) = 32.
• Answer: 32

[Easy] Introduction to Logarithms

• EN: Evaluate: log₂(16)
• FR: Évalue : log₂(16)
• Choices: A) 2 B) 3 C) 4 D) 8
• Hint: log_b(x) asks: to what power must b be raised to get x? For log₃(27): 3^? = 27, so the answer is 3.
• Steps:
  • Ask: 2^? = 16. Since 2^4 = 16, log₂(16) = 4.
  • The answer is 4.
• Answer: 4

[Easy] Arithmetic Sequences

• EN: The first term of an arithmetic sequence is 7 and the common difference is 4. What is the 5th term?
• FR: Le premier terme d'une suite arithmétique est 7 et la raison commune est 4. Quel est le 5e terme?
• Choices: A) 20 B) 23 C) 24 D) 27
• Hint: Use the formula: tₙ = t₁ + (n−1)d; for t₁ = 3, d = 5, t₄ = 3 + 3×5 = 18.
• Steps:
  • t₅ = 7 + (5 − 1) × 4 = 7 + 16 = 23.
  • The 5th term is 23.
• Answer: 23

[Easy] Compound Interest

• EN: $1,000 is invested at 5% annual compound interest for 2 years. What is the total amount after 2 years?
• FR: 1 000 $ est investi à 5 % d'intérêts composés annuels pendant 2 ans. Quel est le montant total après 2 ans?
• Choices: A) $1,050.00 B) $1,100.00 C) $1,102.50 D) $1,150.00
• Hint: Use A = P(1 + r)^n; for $500 at 10% for 2 years: A = 500(1.10)² = 500 × 1.21 = $605.
• Steps:
  • A = 1000(1 + 0.05)² = 1000 × 1.05² = 1000 × 1.1025 = $1,102.50.
  • Total = $1,102.50.
• Answer: $1,102.50

[Medium] Quadratic Function — Vertex

• EN: The function f(x) = −2(x − 3)² + 8 has a maximum value. What is that maximum value?
• FR: La fonction f(x) = −2(x − 3)² + 8 a une valeur maximale. Quelle est cette valeur maximale?
• Choices: A) 3 B) 6 C) 8 D) 10
• Hint: In vertex form f(x) = a(x − h)² + k, the vertex is at (h, k); the maximum or minimum value is k.
• Steps:
  • The function is in vertex form with k = 8.
  • Since a = −2 < 0, the parabola opens downward — the maximum is 8.
• Answer: 8

[Medium] Geometric Sequence

• EN: A geometric sequence starts at 3 and has a common ratio of 2. What is the sum of the first 5 terms?
• FR: Une suite géométrique commence à 3 et a une raison commune de 2. Quelle est la somme des 5 premiers termes?
• Choices: A) 63 B) 93 C) 96 D) 120
• Hint: Use Sₙ = t₁(rⁿ − 1)/(r − 1); for t₁ = 2, r = 3, n = 4: S₄ = 2(81−1)/2 = 80.
• Steps:
  • S₅ = 3(2⁵ − 1)/(2 − 1) = 3(32 − 1)/1 = 3 × 31 = 93.
  • The sum of the first 5 terms is 93.
• Answer: 93

[Medium] Logarithm Properties

• EN: Simplify: log(100) + log(10)
• FR: Simplifie : log(100) + log(10)
• Choices: A) 2 B) 3 C) 10 D) 1000
• Hint: log(a) + log(b) = log(a × b); also remember log₁₀(10) = 1 and log₁₀(100) = 2.
• Steps:
  • log(100) = 2 and log(10) = 1.
  • 2 + 1 = 3.
• Answer: 3

[Medium] Trigonometric Identity

• EN: Simplify: sin²θ + cos²θ
• FR: Simplifie : sin²θ + cos²θ
• Choices: A) 0 B) 1 C) 2 D) sin(2θ)
• Hint: This is the most fundamental trig identity — it holds for every angle θ.
• Steps:
  • sin²θ + cos²θ = 1 is the Pythagorean identity.
  • The answer is 1.
• Answer: 1

[Hard] Annuity Calculation

• EN: Mia deposits $200 at the end of each month into an account earning 6% annual interest compounded monthly. What is the total after 3 months? (Monthly rate = 0.5%)
• FR: Mia dépose 200 $ à la fin de chaque mois dans un compte avec 6 % d'intérêts annuels composés mensuellement. Quel est le total après 3 mois? (Taux mensuel = 0,5 %)
• Choices: A) $600.00 B) $601.00 C) $602.01 D) $603.51
• Hint: Each deposit earns interest for the remaining months; the first deposit earns for 2 months, the second for 1, and the last earns no interest.
• Steps:
  • Month 1 deposit grows: 200 × (1.005)² = 200 × 1.010025 = $202.00.
  • Month 2 deposit grows: 200 × (1.005)¹ = 200 × 1.005 = $201.00.
  • Month 3 deposit: $200.00.
  • Total = $202.00 + $201.00 + $200.00 = $603.00. Using more precise values: 200(1.005²) + 200(1.005) + 200 = 201.0025 + 201.00 + 200 = $602.01.
  • Total ≈ $602.01.
• Answer: $602.01

[Hard] Exponential Growth

• EN: A bacteria colony doubles every 3 hours. If there are 500 bacteria at noon, how many are there at midnight? (midnight is 12 hours later)
• FR: Une colonie de bactéries double toutes les 3 heures. S'il y a 500 bactéries à midi, combien y en a-t-il à minuit? (minuit est 12 heures plus tard)
• Choices: A) 2,000 bacteria B) 4,000 bacteria C) 8,000 bacteria D) 16,000 bacteria
• Hint: Use A = P × 2^(t/d); where t is time elapsed and d is the doubling period. For 500 × 2^(12/3): compute the exponent first.
• Steps:
  • Number of doubling periods = 12 ÷ 3 = 4.
  • A = 500 × 2⁴ = 500 × 16 = 8,000.
  • There are 8,000 bacteria at midnight.
• Answer: 8,000 bacteria

[Easy] Permutations

• EN: How many ways can 4 different books be arranged on a shelf?
• FR: De combien de façons peut-on disposer 4 livres différents sur une étagère?
• Choices: A) 12 B) 16 C) 24 D) 48
• Hint: The number of arrangements of n items is n!; for 3 items: 3! = 3 × 2 × 1 = 6 ways.
• Steps:
  • 4! = 4 × 3 × 2 × 1 = 24.
  • There are 24 ways.
• Answer: 24

[Easy] Combinations

• EN: A school council must choose 3 students from 7 candidates. How many different groups are possible?
• FR: Un conseil étudiant doit choisir 3 élèves parmi 7 candidats. Combien de groupes différents sont possibles?
• Choices: A) 21 B) 35 C) 42 D) 70
• Hint: Use C(n,r) = n! / (r!(n−r)!); for choosing 2 from 5: C(5,2) = 10.
• Steps:
  • C(7,3) = 7! / (3! × 4!) = (7 × 6 × 5) / (3 × 2 × 1) = 210 / 6 = 35.
  • There are 35 possible groups.
• Answer: 35

[Easy] Derivative — Power Rule

• EN: Find the derivative of f(x) = 4x³.
• FR: Trouve la dérivée de f(x) = 4x³.
• Choices: A) 4x² B) 12x² C) 12x³ D) 3x²
• Hint: Power rule: d/dx (axⁿ) = n·axⁿ⁻¹; for f(x) = 5x², f'(x) = 10x.
• Steps:
  • Apply the power rule: bring down the exponent and reduce it by 1.
  • f'(x) = 3 × 4x² = 12x².
• Answer: 12x²

[Easy] Polynomial Function — End Behaviour

• EN: For the function f(x) = −3x⁴ + 2x − 1, what is the end behaviour as x → +∞?
• FR: Pour la fonction f(x) = −3x⁴ + 2x − 1, quel est le comportement de la fonction 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 even degree: both ends go to −∞.
• Steps:
  • Leading term: −3x⁴ (even degree, negative leading coefficient).
  • As x → +∞, −3x⁴ → −∞, so f(x) → −∞.
• Answer: f(x) → −∞

[Medium] Rate of Change (Derivative Application)

• EN: The position of a ball is given by s(t) = 3t² − 6t + 2, where t is in seconds and s is in metres. What is the velocity at t = 4 seconds?
• FR: La position d'une balle est donnée par s(t) = 3t² − 6t + 2, où t est en secondes et s est en mètres. Quelle est la vitesse au moment t = 4 secondes?
• Choices: A) 14 m/s B) 18 m/s C) 22 m/s D) 26 m/s
• Hint: Velocity = derivative of position; find s'(t) using the power rule, then substitute t.
• Steps:
  • s'(t) = 6t − 6.
  • s'(4) = 6(4) − 6 = 24 − 6 = 18 m/s.
• Answer: 18 m/s

[Medium] Probability Distribution

• EN: A fair six-sided die is rolled twice. What is the probability of rolling a 6 both times?
• FR: On lance deux fois un dé à six faces équilibré. Quelle est la probabilité d'obtenir un 6 les deux fois?
• Choices: A) 1/36 B) 1/12 C) 1/6 D) 2/36
• Hint: For independent events, multiply the probabilities: P(A and B) = P(A) × P(B); P(6) × P(6) = ?
• Steps:
  • P(6 on one roll) = 1/6.
  • P(6 both times) = 1/6 × 1/6 = 1/36.
• Answer: 1/36

[Medium] Vectors — Addition

• EN: Vector u = (3, −2) and vector v = (−1, 5). What is u + v?
• FR: Le vecteur u = (3, −2) et le vecteur v = (−1, 5). Quel est u + v?
• Choices: A) (2, 3) B) (4, 3) C) (2, 7) D) (4, 7)
• Hint: Add corresponding components: (a, b) + (c, d) = (a + c, b + d); for (2, 5) + (3, −1) = (5, 4).
• Steps:
  • x-component: 3 + (−1) = 2.
  • y-component: −2 + 5 = 3.
  • u + v = (2, 3).
• Answer: (2, 3)

[Medium] Rational Function — Vertical Asymptote

• EN: Find the vertical asymptote of the function f(x) = 5 / (x − 4).
• FR: Trouve l'asymptote verticale de la fonction f(x) = 5 / (x − 4).
• Choices: A) x = −4 B) x = 0 C) x = 4 D) x = 5
• Hint: Set the denominator equal to zero and solve; for f(x) = 3/(x + 2), set x + 2 = 0 to get x = −2.
• Steps:
  • Set denominator = 0: x − 4 = 0 → x = 4.
  • The vertical asymptote is x = 4.
• Answer: x = 4

[Hard] Binomial Theorem

• EN: Expand the third term of (x + 2)⁵ using the binomial theorem.
• FR: Développe le troisième terme de (x + 2)⁵ à l'aide du théorème binomial.
• Choices: A) 40x³ B) 80x³ C) 10x³ D) 160x²
• Hint: The general term is C(n, k) × a^(n−k) × b^k; for (x+3)^4, the 2nd term is C(4,1)x³(3) = 12x³.
• Steps:
  • 3rd term: k = 2; C(5, 2) × x^(5−2) × 2^2 = 10 × x³ × 4 = 40x³.
  • The third term is 40x³.
• Answer: 40x³

[Hard] Derivative — Chain Rule Application

• EN: Find the derivative of f(x) = (2x + 3)⁴.
• FR: Trouve la dérivée de f(x) = (2x + 3)⁴.
• Choices: A) 4(2x + 3)³ B) 8(2x + 3)³ C) 4(2x + 3)⁴ D) 8(2x + 3)⁴
• Hint: Use the chain rule: d/dx[g(x)ⁿ] = n·g(x)^(n−1) · g'(x); for (3x+1)², derivative = 2(3x+1) × 3 = 6(3x+1).
• Steps:
  • Outer derivative: 4(2x + 3)³.
  • Inner derivative: d/dx(2x + 3) = 2.
  • f'(x) = 4(2x + 3)³ × 2 = 8(2x + 3)³.
• Answer: 8(2x + 3)³