Daily Math — 2026-09-22

[Easy] Counting Mittens

• EN: Lily has 7 mittens in her drawer. She finds 3 more under her bed. How many mittens does she have in all?
• FR: Lily a 7 mitaines dans son tiroir. Elle en trouve 3 autres sous son lit. Combien de mitaines a-t-elle en tout ?
• Choices: A) 9 mittens B) 10 mittens C) 11 mittens D) 12 mittens
• Hint: To add, count on from the bigger number — like 5 + 2, start at 5 and count up 2 more.
• Steps:
  • Start at 7 and count on 3 more.
  • 7 → 8, 9, 10.
  • So Lily has 10 mittens in all.
• Answer: 10 mittens

[Easy] Snowy Skip Counting

• EN: Can you skip count by 2s? What comes next: 2, 4, 6, 8, ___?
• FR: Peux-tu compter par bonds de 2 ? Quel nombre vient ensuite : 2, 4, 6, 8, ___ ?
• Choices: A) 9 B) 10 C) 11 D) 12
• Hint: Skip counting by 2s means adding 2 each time — like 10, 12, 14.
• Steps:
  • Each step adds 2 to the last number.
  • 8 + 2 = 10.
  • So the next number is 10.
• Answer: 10

[Easy] Hockey Pucks

• EN: There are 15 hockey pucks on the ice. A player takes 6 away. How many pucks are left?
• FR: Il y a 15 rondelles de hockey sur la glace. Un joueur en prend 6. Combien de rondelles reste-t-il ?
• Choices: A) 7 pucks B) 8 pucks C) 9 pucks D) 11 pucks
• Hint: To subtract, count back from the bigger number — like 12 − 4, start at 12 and count back 4.
• Steps:
  • Start at 15 and count back 6.
  • 15 → 14, 13, 12, 11, 10, 9.
  • So 9 pucks are left.
• Answer: 9 pucks

[Easy] Penny Count

• EN: Amir has 4 pennies. His friend gives him 5 more pennies. How many pennies does Amir have now?
• FR: Amir a 4 sous. Son ami lui donne 5 autres sous. Combien de sous Amir a-t-il maintenant ?
• Choices: A) 7 pennies B) 8 pennies C) 9 pennies D) 10 pennies
• Hint: Pennies are worth 1 cent each. Adding 3 pennies + 4 pennies gives 7 pennies.
• Steps:
  • Count 4 pennies, then add 5 more.
  • 4 + 5 = 9.
  • So Amir has 9 pennies.
• Answer: 9 pennies

[Medium] Comparing Numbers

• EN: Which number is greater: 13 or 17?
• FR: Quel nombre est plus grand : 13 ou 17 ?
• Choices: A) 13 B) 17 C) They are equal D) 15
• Hint: When comparing, look at the tens digit first — 2 tens is more than 1 ten.
• Steps:
  • Both 13 and 17 have 1 ten.
  • Compare the ones: 3 ones vs 7 ones.
  • 7 is more than 3, so 17 is greater.
• Answer: 17

[Medium] Skip Count by 5s

• EN: Count by 5s. What number is missing: 5, 10, 15, ___, 25?
• FR: Compte par bonds de 5. Quel nombre manque : 5, 10, 15, ___, 25 ?
• Choices: A) 18 B) 20 C) 21 D) 23
• Hint: Skip counting by 5s means adding 5 each time — like 25, 30, 35.
• Steps:
  • Each number goes up by 5.
  • 15 + 5 = 20.
  • Check: 20 + 5 = 25. ✓
• Answer: 20

[Medium] Dime Discovery

• EN: Priya has 1 dime and 2 nickels. How many cents does she have in all?
• FR: Priya a 1 pièce de 10 cents et 2 pièces de 5 cents. Combien de cents a-t-elle en tout ?
• Choices: A) 17 cents B) 18 cents C) 20 cents D) 25 cents
• Hint: A dime = 10 cents, a nickel = 5 cents. Try: 1 dime + 1 nickel = 10 + 5 = 15 cents.
• Steps:
  • 1 dime = 10 cents.
  • 2 nickels = 5 + 5 = 10 cents.
  • 10 + 10 = 20 cents total.
• Answer: 20 cents

[Medium] Count to 100 by 10s

• EN: Skip count by 10s. What comes next: 40, 50, 60, ___?
• FR: Compte par bonds de 10. Quel nombre vient ensuite : 40, 50, 60, ___ ?
• Choices: A) 65 B) 68 C) 70 D) 75
• Hint: Counting by 10s means the tens digit goes up by 1 each time — like 20, 30, 40.
• Steps:
  • Each number adds 10.
  • 60 + 10 = 70.
  • So the next number is 70.
• Answer: 70

[Hard] Two-Step Addition

• EN: There are 8 red apples, 5 green apples, and 4 yellow apples in a basket. How many apples are there in all?
• FR: Il y a 8 pommes rouges, 5 pommes vertes et 4 pommes jaunes dans un panier. Combien y a-t-il de pommes en tout ?
• Choices: A) 13 apples B) 15 apples C) 17 apples D) 18 apples
• Hint: Add three numbers by adding two at a time — like 3 + 4 + 2: first do 3 + 4 = 7, then 7 + 2 = 9.
• Steps:
  • Add 8 + 5 = 13.
  • Then add 13 + 4 = 17.
  • So there are 17 apples in all.
• Answer: 17 apples

[Hard] Missing Number

• EN: What number goes in the box? 6 + ___ = 14
• FR: Quel nombre va dans la case ? 6 + ___ = 14
• Choices: A) 7 B) 8 C) 9 D) 20
• Hint: To find a missing addend, think about what you add to get the total — like 5 + ___ = 11, you count up from 5 to 11.
• Steps:
  • Start at 6 and count up to 14.
  • 6 → 7, 8, 9, 10, 11, 12, 13, 14 — that is 8 steps.
  • So 6 + 8 = 14.
• Answer: 8

[Easy] Adding at Tim Hortons

• EN: Mia buys a muffin for 45 cents and a juice for 30 cents. How much does she spend in all?
• FR: Mia achète un muffin pour 45 cents et un jus pour 30 cents. Combien dépense-t-elle en tout ?
• Choices: A) 65 cents B) 70 cents C) 75 cents D) 80 cents
• Hint: Add the tens first, then the ones — like 32 + 25: 30 + 20 = 50, then 2 + 5 = 7, total 57.
• Steps:
  • Add tens: 40 + 30 = 70.
  • Add ones: 5 + 0 = 5.
  • Total: 70 + 5 = 75 cents.
• Answer: 75 cents

[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, it is exactly on the hour — like 5:00 or 9:00.
• Steps:
  • The hour hand points to 3, so the hour is 3.
  • The minute hand points to 12, so the minutes are 00.
  • The time is 3:00.
• Answer: 3:00

[Easy] Subtraction in the Snow

• EN: There were 82 snowballs on the ground. Kids threw 31 of them. How many snowballs are left?
• FR: Il y avait 82 boules de neige par terre. Les enfants en ont lancé 31. Combien de boules de neige reste-t-il ?
• Choices: A) 41 B) 51 C) 53 D) 61
• Hint: Subtract the tens first, then the ones — like 76 − 23: 70 − 20 = 50, 6 − 3 = 3, total 53.
• Steps:
  • Subtract tens: 80 − 30 = 50.
  • Subtract ones: 2 − 1 = 1.
  • Total: 50 + 1 = 51 snowballs.
• Answer: 51

[Easy] Measuring Length

• EN: A pencil is 14 cm long. A crayon is 9 cm long. How much longer is the pencil than the crayon?
• FR: Un crayon est long de 14 cm. Une craie de couleur est longue de 9 cm. De combien le crayon est-il plus long ?
• Choices: A) 4 cm B) 5 cm C) 6 cm D) 23 cm
• Hint: To find the difference in length, subtract — like 18 cm − 11 cm = 7 cm.
• Steps:
  • Subtract: 14 − 9 = 5.
  • The pencil is 5 cm longer.
• Answer: 5 cm

[Medium] Counting Coins

• EN: Jake has 2 quarters, 1 dime, and 1 nickel. How much money does he have?
• FR: Jake a 2 pièces de 25 cents, 1 pièce de 10 cents et 1 pièce de 5 cents. Combien d'argent a-t-il ?
• Choices: A) 55 cents B) 60 cents C) 65 cents D) 70 cents
• Hint: A quarter = 25 cents, a dime = 10 cents, a nickel = 5 cents. Add them step by step.
• Steps:
  • 2 quarters = 25 + 25 = 50 cents.
  • Add 1 dime: 50 + 10 = 60 cents.
  • Add 1 nickel: 60 + 5 = 65 cents.
• Answer: 65 cents

[Medium] Half-Hour Time

• EN: School starts at 8:00. Recess is 30 minutes later. What time is recess?
• FR: L'école commence à 8 h 00. La récréation est 30 minutes plus tard. À quelle heure est la récréation ?
• Choices: A) 8:03 B) 8:30 C) 9:00 D) 9:30
• Hint: Adding 30 minutes to an o'clock time gives a half-hour time — like 2:00 + 30 minutes = 2:30.
• Steps:
  • Start at 8:00.
  • Add 30 minutes.
  • 8:00 + 30 minutes = 8:30.
• Answer: 8:30

[Medium] Number Patterns

• EN: Look at this pattern: 12, 22, 32, 42, ___. What comes next?
• FR: Regarde ce modèle : 12, 22, 32, 42, ___. Quel nombre vient ensuite ?
• Choices: A) 46 B) 50 C) 52 D) 54
• Hint: Find the rule by looking at how much each number increases — like 5, 15, 25, 35: each goes up by 10.
• Steps:
  • Check the difference: 22 − 12 = 10, 32 − 22 = 10. Rule: add 10.
  • 42 + 10 = 52.
  • The next number is 52.
• Answer: 52

[Medium] Subtracting Across Tens

• EN: There are 63 students at recess. 27 go inside. How many students are still outside?
• FR: Il y a 63 élèves à la récréation. 27 rentrent à l'intérieur. Combien d'élèves sont encore dehors ?
• Choices: A) 34 B) 36 C) 38 D) 46
• Hint: Try counting up from the smaller number to the larger — like 45 − 28: count from 28 to 45.
• Steps:
  • Count up from 27 to 63.
  • 27 + 3 = 30; 30 + 33 = 63.
  • 3 + 33 = 36 students remain outside.
• Answer: 36

[Hard] Two-Step Coin Problem

• EN: Fatima has 3 dimes and 4 nickels. She spends 25 cents on a sticker. How much money does she have left?
• FR: Fatima a 3 pièces de 10 cents et 4 pièces de 5 cents. Elle dépense 25 cents pour un autocollant. Combien d'argent lui reste-t-il ?
• Choices: A) 25 cents B) 30 cents C) 35 cents D) 45 cents
• Hint: First find the total, then subtract — like having 50 cents and spending 15 cents leaves 35 cents.
• Steps:
  • 3 dimes = 30 cents; 4 nickels = 20 cents.
  • Total = 30 + 20 = 50 cents.
  • 50 − 25 = 25 cents left.
• Answer: 25 cents

[Hard] Measuring Two Objects

• EN: A bookshelf is 95 cm tall. A desk is 72 cm tall. If you stack them, how tall is the stack?
• FR: Une étagère mesure 95 cm de haut. Un bureau mesure 72 cm de haut. Si tu les empiles, quelle est la hauteur totale ?
• Choices: A) 157 cm B) 163 cm C) 167 cm D) 177 cm
• Hint: To add two measurements, line up the tens and ones — like 64 cm + 53 cm: 60 + 50 = 110, 4 + 3 = 7, total 117 cm.
• Steps:
  • Add tens: 90 + 70 = 160.
  • Add ones: 5 + 2 = 7.
  • Total: 160 + 7 = 167 cm.
• Answer: 167 cm

[Easy] Multiplication by 5

• EN: There are 6 bags of hockey cards. Each bag has 5 cards. How many cards are there in all?
• FR: Il y a 6 sacs de cartes de hockey. Chaque sac contient 5 cartes. Combien de cartes y a-t-il en tout ?
• Choices: A) 25 cards B) 30 cards C) 35 cards D) 11 cards
• Hint: To multiply by 5, think of skip counting by 5s — like 3 × 5: 5, 10, 15.
• Steps:
  • 6 × 5 means 6 groups of 5.
  • Count by 5s: 5, 10, 15, 20, 25, 30.
  • So there are 30 cards.
• Answer: 30 cards

[Easy] Fractions — Half

• EN: A pizza is cut into 4 equal slices. Remy eats 2 slices. What fraction of the pizza did he eat?
• FR: Une pizza est coupée en 4 parts égales. Remy mange 2 parts. Quelle fraction de la pizza a-t-il mangée ?
• Choices: A) 1/4 B) 2/3 C) 1/2 D) 3/4
• Hint: A fraction shows parts eaten over total parts — like eating 1 out of 3 pieces is 1/3.
• Steps:
  • Remy ate 2 out of 4 slices.
  • 2/4 = 1/2.
  • He ate 1/2 of the pizza.
• Answer: 1/2

[Easy] Division Basics

• EN: 20 stickers are shared equally among 4 students. How many stickers does each student get?
• FR: 20 autocollants sont partagés également entre 4 élèves. Combien d'autocollants chaque élève reçoit-il ?
• Choices: A) 4 stickers B) 5 stickers C) 6 stickers D) 8 stickers
• Hint: Division is sharing equally — like 12 ÷ 3: put 12 things into 3 equal groups, each group gets 4.
• Steps:
  • 20 ÷ 4 = ?
  • Think: 4 × 5 = 20.
  • Each student gets 5 stickers.
• Answer: 5 stickers

[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 means adding all four sides — like a rectangle with length 4 and width 2: 4 + 2 + 4 + 2 = 12.
• Steps:
  • A rectangle has 2 lengths and 2 widths.
  • 6 + 6 + 3 + 3 = 18.
  • The perimeter is 18 cm.
• Answer: 18 cm

[Medium] Multiplication by 3

• EN: A hockey team has 9 players. Each player has 3 pieces of equipment. How many pieces of equipment are there in all?
• FR: Une équipe de hockey a 9 joueurs. Chaque joueur a 3 équipements. Combien y a-t-il d'équipements en tout ?
• Choices: A) 12 pieces B) 21 pieces C) 27 pieces D) 30 pieces
• Hint: For 9 × 3, think of 10 × 3 = 30, then subtract one group of 3.
• Steps:
  • 9 × 3 = ?
  • 10 × 3 = 30; 30 − 3 = 27.
  • There are 27 pieces of equipment.
• Answer: 27 pieces

[Medium] Reading a Graph

• EN: A bar graph shows: apples = 8, bananas = 5, oranges = 7. How many more apples than bananas are there?
• FR: Un diagramme à bandes montre : pommes = 8, bananes = 5, oranges = 7. Combien y a-t-il plus de pommes que de bananes ?
• Choices: A) 1 more B) 2 more C) 3 more D) 4 more
• Hint: To find "how many more," subtract the smaller number from the larger — like 9 − 6 = 3 more.
• Steps:
  • Apples = 8, bananas = 5.
  • 8 − 5 = 3.
  • There are 3 more apples than bananas.
• Answer: 3 more

[Medium] Fractions on a Number Line

• EN: Which fraction is greater: 3/4 or 1/4?
• FR: Quelle fraction est plus grande : 3/4 ou 1/4 ?
• Choices: A) 1/4 B) They are equal C) 3/4 D) 2/4
• Hint: Fractions with the same denominator — compare just the numerators, like 5/8 vs 3/8: 5 is more, so 5/8 is greater.
• Steps:
  • Both fractions have 4 as the denominator.
  • Compare numerators: 3 vs 1.
  • 3 is greater than 1, so 3/4 is greater.
• Answer: 3/4

[Medium] Multiplication by 10

• EN: There are 7 boxes. Each box has 10 crayons. How many crayons are there in all?
• FR: Il y a 7 boîtes. Chaque boîte a 10 crayons. Combien de crayons y a-t-il en tout ?
• Choices: A) 17 crayons B) 63 crayons C) 70 crayons D) 77 crayons
• Hint: Multiplying by 10 is easy — just put a zero after the number, like 6 × 10 = 60.
• Steps:
  • 7 × 10 = 70.
  • There are 70 crayons in all.
• Answer: 70 crayons

[Hard] Two-Step Problem

• EN: A store sells muffins in packs of 4. If 5 packs are sold in the morning and 3 packs in the afternoon, how many muffins were sold in total?
• FR: Un magasin vend des muffins en paquets de 4. Si 5 paquets sont vendus le matin et 3 paquets l'après-midi, combien de muffins ont été vendus en tout ?
• Choices: A) 24 muffins B) 28 muffins C) 32 muffins D) 36 muffins
• Hint: First find total packs, then multiply — like 3 packs + 2 packs = 5 packs; 5 × 4 = 20 muffins.
• Steps:
  • Total packs: 5 + 3 = 8 packs.
  • Total muffins: 8 × 4 = 32.
  • So 32 muffins were sold.
• Answer: 32 muffins

[Hard] Perimeter Word Problem

• EN: A school garden is shaped like a square. Each side is 8 m long. What is the perimeter of the garden?
• FR: Un jardin scolaire a la forme d'un carré. Chaque côté mesure 8 m. Quel est le périmètre du jardin ?
• Choices: A) 16 m B) 24 m C) 32 m D) 64 m
• Hint: A square has 4 equal sides — add all four, or multiply one side by 4, like side = 5: 5 × 4 = 20 m.
• Steps:
  • A square has 4 equal sides, each 8 m.
  • Perimeter = 4 × 8 = 32.
  • The perimeter is 32 m.
• Answer: 32 m

[Easy] Multiplication Tables

• EN: What is 7 × 8?
• FR: Combien font 7 × 8 ?
• Choices: A) 48 B) 54 C) 56 D) 63
• Hint: You can find 7 × 8 by doing 7 × 4 and doubling — like 6 × 8: 6 × 4 = 24, doubled = 48.
• Steps:
  • 7 × 8 = 56.
  • Check: 8 × 7 = 56. ✓
• Answer: 56

[Easy] Decimal Place Value

• EN: What is the value of the digit 4 in the number 3.47?
• FR: Quelle est la valeur du chiffre 4 dans le nombre 3,47 ?
• Choices: A) 4 ones B) 4 tenths C) 4 hundredths D) 40 ones
• Hint: In a decimal, the first digit after the point is tenths, the second is hundredths — like in 2.56, the 5 is in the tenths place.
• Steps:
  • 3.47 has 3 ones, 4 tenths, 7 hundredths.
  • The digit 4 is in the tenths place.
  • Its value is 4 tenths.
• Answer: 4 tenths

[Easy] Area of a Rectangle

• EN: A classroom rug is 5 m long and 3 m wide. What is the area of the rug?
• FR: Un tapis de classe est long de 5 m et large de 3 m. Quelle est l'aire du tapis ?
• Choices: A) 8 m² B) 12 m² C) 15 m² D) 16 m²
• Hint: Area of a rectangle = length × width — like 4 m × 6 m = 24 m².
• Steps:
  • Area = length × width.
  • Area = 5 × 3 = 15.
  • The area is 15 m².
• Answer: 15 m²

[Easy] Comparing Fractions

• EN: Which fraction is larger: 3/5 or 3/8?
• FR: Quelle fraction est plus grande : 3/5 ou 3/8 ?
• Choices: A) 3/8 B) They are equal C) 3/5 D) 6/8
• Hint: Same numerator? The fraction with the smaller denominator is larger — like 2/3 vs 2/7: thirds are bigger pieces.
• Steps:
  • Both fractions have 3 as the numerator.
  • Fifths are larger pieces than eighths.
  • So 3/5 > 3/8.
• Answer: 3/5

[Medium] Long Division with Remainders

• EN: 47 students need to be split into groups of 5. How many full groups are there, and how many students are left over?
• FR: 47 élèves doivent être divisés en groupes de 5. Combien y a-t-il de groupes complets et combien d'élèves restent-ils ?
• Choices: A) 8 groups, remainder 7 B) 9 groups, remainder 2 C) 9 groups, remainder 4 D) 10 groups, remainder 3
• Hint: Divide to find full groups, then multiply back and subtract to get the remainder — like 23 ÷ 4: 4 × 5 = 20, remainder 3.
• Steps:
  • 5 × 9 = 45, which is close to 47.
  • 47 − 45 = 2 left over.
  • There are 9 full groups with a remainder of 2.
• Answer: 9 groups, remainder 2

[Medium] Elapsed Time

• EN: A hockey game starts at 1:15 PM and ends at 3:45 PM. 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 the hours first, then the minutes — like 2:20 to 4:50: 2 hours, then 30 minutes = 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: Lena buys a notebook for $2.35 and a pen for $1.50. How much does she spend in all?
• FR: Lena achète un cahier pour 2,35 $ et un stylo pour 1,50 $. Combien dépense-t-elle en tout ?
• Choices: A) $3.75 B) $3.80 C) $3.85 D) $4.15
• Hint: Line up the decimal points and add column by column — like $1.25 + $2.40: 1.25 + 2.40 = 3.65.
• Steps:
  • $2.35 + $1.50.
  • Ones: 2 + 1 = 3.
  • Tenths: 3 + 5 = 8; hundredths: 5 + 0 = 5.
  • Total: $3.85.
• Answer: $3.85

[Medium] Multiplication — Two-Digit by One-Digit

• EN: A school orders 6 boxes of pencils. Each box has 24 pencils. How many pencils are ordered in all?
• FR: Une école commande 6 boîtes de crayons. Chaque boîte contient 24 crayons. Combien de crayons sont commandés en tout ?
• Choices: A) 120 pencils B) 124 pencils C) 140 pencils D) 144 pencils
• Hint: Break the two-digit number apart — like 6 × 32: 6 × 30 = 180, 6 × 2 = 12, total 192.
• Steps:
  • 6 × 24 = 6 × 20 + 6 × 4.
  • 6 × 20 = 120; 6 × 4 = 24.
  • 120 + 24 = 144 pencils.
• Answer: 144 pencils

[Hard] Long Division Word Problem

• EN: A bakery makes 168 cookies and packs them into bags of 8. How many bags can they fill?
• FR: Une boulangerie fabrique 168 biscuits et les emballe dans des sacs de 8. Combien de sacs peuvent-ils remplir ?
• Choices: A) 18 bags B) 21 bags C) 24 bags D) 28 bags
• Hint: For long division, estimate how many times the divisor fits — like 96 ÷ 8: 8 × 10 = 80, 8 × 12 = 96.
• Steps:
  • 168 ÷ 8 = ?
  • 8 × 20 = 160; 168 − 160 = 8.
  • 8 ÷ 8 = 1; total = 20 + 1 = 21 bags.
• Answer: 21 bags

[Hard] Multi-Step Word Problem

• EN: A rectangle has a perimeter of 36 cm. Its width is 7 cm. What is its length?
• FR: Un rectangle a un périmètre de 36 cm. Sa largeur est de 7 cm. Quelle est sa longueur ?
• Choices: A) 9 cm B) 11 cm C) 14 cm D) 22 cm
• Hint: Use the perimeter formula: P = 2 × (l + w). Rearrange to find length — like P = 24, w = 4: 24 ÷ 2 = 12, 12 − 4 = 8.
• Steps:
  • Perimeter = 2 × (length + width).
  • 36 = 2 × (l + 7).
  • 36 ÷ 2 = 18; 18 − 7 = 11.
  • The length is 11 cm.
• Answer: 11 cm

[Easy] Multi-Digit Multiplication

• EN: A school has 24 classrooms. Each classroom has 28 students. How many students are there in all?
• FR: Une école a 24 salles de classe. Chaque classe a 28 élèves. Combien y a-t-il d'élèves en tout ?
• Choices: A) 552 students B) 622 students C) 672 students D) 722 students
• Hint: Use the standard algorithm — like 13 × 22: 13 × 20 = 260, 13 × 2 = 26, total 286.
• Steps:
  • 24 × 28 = 24 × 20 + 24 × 8.
  • 24 × 20 = 480; 24 × 8 = 192.
  • 480 + 192 = 672 students.
• Answer: 672 students

[Easy] Adding Fractions with Like Denominators

• EN: Elena ate 2/7 of a pie and her brother ate 3/7. How much of the pie did they eat together?
• FR: Elena a mangé 2/7 d'une tarte et son frère en a mangé 3/7. Quelle fraction de la tarte ont-ils mangée ensemble ?
• Choices: A) 5/14 B) 5/7 C) 6/7 D) 1/7
• Hint: With like denominators, just add the numerators and keep the denominator — like 1/5 + 3/5 = 4/5.
• Steps:
  • 2/7 + 3/7 = (2 + 3)/7.
  • = 5/7.
  • They ate 5/7 of the pie.
• Answer: 5/7

[Easy] Percentages — 50%

• EN: A jacket costs $80. It is on sale for 50% off. How much is the discount?
• FR: Un manteau coûte 80 $. Il est en solde à 50 % de rabais. Quel est le montant du rabais ?
• Choices: A) $20 B) $30 C) $40 D) $50
• Hint: 50% means half — just divide by 2, like 50% of $60 = $60 ÷ 2 = $30.
• Steps:
  • 50% of $80 = $80 ÷ 2.
  • = $40.
  • The discount is $40.
• Answer: $40

[Easy] Decimal Operations

• EN: A recipe needs 3.5 cups of flour and 1.25 cups of sugar. How many cups of dry ingredients are needed?
• FR: Une recette nécessite 3,5 tasses de farine et 1,25 tasse de sucre. Combien de tasses d'ingrédients secs sont nécessaires ?
• Choices: A) 4.25 cups B) 4.55 cups C) 4.75 cups D) 5.25 cups
• Hint: Line up decimal points and add — like 2.6 + 1.35: 2.60 + 1.35 = 3.95.
• Steps:
  • 3.50 + 1.25.
  • Ones: 3 + 1 = 4; tenths: 5 + 2 = 7; hundredths: 0 + 5 = 5.
  • Total: 4.75 cups.
• Answer: 4.75 cups

[Medium] Subtracting Fractions

• EN: A container had 7/9 of juice. After drinking, 4/9 remained. How much juice was drunk?
• FR: Un contenant avait 7/9 de jus. Après avoir bu, il en restait 4/9. Quelle fraction a été bue ?
• Choices: A) 1/9 B) 3/9 C) 11/9 D) 2/9
• Hint: Subtract fractions with the same denominator by subtracting numerators — like 6/8 − 2/8 = 4/8.
• Steps:
  • 7/9 − 4/9 = (7 − 4)/9.
  • = 3/9.
  • 3/9 of the juice was drunk.
• Answer: 3/9

[Medium] Volume of a Rectangular Prism

• EN: A gift box is 10 cm long, 6 cm wide, and 4 cm tall. What is its volume?
• FR: Une boîte cadeau est longue de 10 cm, large de 6 cm et haute de 4 cm. Quel est son volume ?
• Choices: A) 200 cm³ B) 220 cm³ C) 240 cm³ D) 260 cm³
• Hint: Volume = length × width × height — like 5 × 3 × 2 = 30 cm³.
• Steps:
  • Volume = 10 × 6 × 4.
  • 10 × 6 = 60.
  • 60 × 4 = 240 cm³.
• Answer: 240 cm³

[Medium] 25% Percentage

• EN: A Tim Hortons drink costs $4.00. There is a 25% discount for students. How much is the discount?
• FR: Une boisson de Tim Hortons coûte 4,00 $. Il y a un rabais de 25 % pour les étudiants. Quel est le montant du rabais ?
• Choices: A) $0.50 B) $1.00 C) $1.50 D) $2.00
• Hint: 25% is one quarter — divide by 4, like 25% of $8.00 = $8.00 ÷ 4 = $2.00.
• Steps:
  • 25% of $4.00 = $4.00 ÷ 4.
  • = $1.00.
  • The discount is $1.00.
• Answer: $1.00

[Medium] Multi-Digit Division

• EN: 504 books are packed into boxes of 9. How many boxes are filled?
• FR: 504 livres sont emballés dans des boîtes de 9. Combien de boîtes sont remplies ?
• Choices: A) 54 boxes B) 56 boxes C) 58 boxes D) 60 boxes
• Hint: Use long division, estimating the quotient step by step — like 252 ÷ 9: 9 × 28 = 252.
• Steps:
  • 504 ÷ 9 = ?
  • 9 × 50 = 450; 504 − 450 = 54.
  • 54 ÷ 9 = 6; total = 50 + 6 = 56 boxes.
• Answer: 56 boxes

[Hard] Two-Step Percentage Problem

• EN: A $120 snowboard is on sale for 25% off. What is the sale price?
• FR: Une planche à neige de 120 $ est en solde à 25 % de rabais. Quel est le prix de vente ?
• Choices: A) $85 B) $90 C) $95 D) $30
• Hint: Find the discount first, then subtract — like $80 at 10% off: 10% of $80 = $8, sale price = $80 − $8 = $72.
• Steps:
  • 25% of $120 = $120 ÷ 4 = $30 discount.
  • Sale price = $120 − $30 = $90.
  • The sale price is $90.
• Answer: $90

[Hard] Fraction and Decimal Connection

• EN: Mei ran 2.4 km on Monday and 1/2 km on Tuesday. What was the total distance she ran?
• FR: Mei a couru 2,4 km lundi et 1/2 km mardi. Quelle distance totale a-t-elle parcourue ?
• Choices: A) 2.5 km B) 2.7 km C) 2.9 km D) 3.1 km
• Hint: Convert the fraction to a decimal first — like 1/4 = 0.25, then add: 3.6 + 0.25 = 3.85.
• Steps:
  • Convert 1/2 to decimal: 1/2 = 0.5.
  • 2.4 + 0.5 = 2.9.
  • Mei ran 2.9 km in total.
• Answer: 2.9 km

[Easy] Percent of a Number

• EN: What is 30% of 90?
• FR: Quel est 30 % de 90 ?
• Choices: A) 20 B) 27 C) 30 D) 63
• Hint: To find a percent, multiply the number by the percent written as a decimal — like 20% of 50: 50 × 0.20 = 10.
• Steps:
  • 30% of 90 = 90 × 0.30.
  • 90 × 0.30 = 27.
  • So 30% of 90 is 27.
• Answer: 27

[Easy] Ratio

• EN: In a class, there are 12 boys and 16 girls. What is the ratio of boys to girls in simplest form?
• FR: Dans une classe, il y a 12 garçons et 16 filles. Quel est le rapport des garçons aux filles sous la forme la plus simple ?
• Choices: A) 12:16 B) 3:4 C) 4:3 D) 2:3
• Hint: To simplify a ratio, divide both numbers by their GCF — like 8:12, GCF is 4, so 2:3.
• Steps:
  • GCF of 12 and 16 is 4.
  • 12 ÷ 4 = 3; 16 ÷ 4 = 4.
  • Simplified ratio is 3:4.
• Answer: 3:4

[Easy] Order of Operations (BEDMAS)

• EN: Evaluate: 3 + 4 × 2
• FR: Évalue : 3 + 4 × 2
• Choices: A) 14 B) 11 C) 10 D) 22
• Hint: In BEDMAS, multiplication comes before addition — like 5 + 3 × 4: first 3 × 4 = 12, then 5 + 12 = 17.
• Steps:
  • Multiplication first: 4 × 2 = 8.
  • Then addition: 3 + 8 = 11.
  • The answer is 11.
• Answer: 11

[Easy] Integers Introduction

• EN: The temperature in Winnipeg was −8°C in the morning. By noon it rose 11°C. What was the noon temperature?
• FR: La température à Winnipeg était de −8 °C le matin. À midi, elle a augmenté de 11 °C. Quelle était la température à midi ?
• Choices: A) −3°C B) 3°C C) 8°C D) 19°C
• Hint: Adding a positive to a negative: start on the number line at the negative and move right — like −5 + 7 = 2.
• Steps:
  • Start at −8 and add 11.
  • −8 + 11 = 3.
  • The noon temperature was 3°C.
• Answer: 3°C

[Medium] Fraction Multiplication

• EN: What is 2/3 × 3/4?
• FR: Quel est le résultat de 2/3 × 3/4 ?
• Choices: A) 5/7 B) 1/2 C) 6/7 D) 2/4
• Hint: Multiply numerators together and denominators together — like 2/5 × 3/4 = 6/20 = 3/10.
• Steps:
  • 2/3 × 3/4 = (2 × 3)/(3 × 4).
  • = 6/12.
  • Simplify: 6/12 = 1/2.
• Answer: 1/2

[Medium] Rate Problem

• EN: A car travels 180 km in 3 hours. What is its speed in km/h?
• FR: Une voiture parcourt 180 km en 3 heures. Quelle est sa vitesse en km/h ?
• Choices: A) 54 km/h B) 60 km/h C) 63 km/h D) 90 km/h
• Hint: Speed = distance ÷ time — like 120 km in 4 hours: 120 ÷ 4 = 30 km/h.
• Steps:
  • Speed = 180 ÷ 3.
  • = 60.
  • The car travels at 60 km/h.
• Answer: 60 km/h

[Medium] Simple Algebraic Expression

• EN: If n = 6, what is the value of 4n − 5?
• FR: Si n = 6, quelle est la valeur de 4n − 5 ?
• Choices: A) 17 B) 19 C) 21 D) 29
• Hint: Substitute the value for the variable, then follow BEDMAS — like if n = 3: 4(3) − 5 = 12 − 5 = 7.
• Steps:
  • Substitute n = 6: 4(6) − 5.
  • 4 × 6 = 24.
  • 24 − 5 = 19.
• Answer: 19

[Medium] Fraction Division

• EN: How many 1/4-cup servings are in 3 cups of yogurt?
• FR: Combien de portions de 1/4 tasse y a-t-il dans 3 tasses de yogourt ?
• Choices: A) 10 servings B) 12 servings C) 14 servings D) 16 servings
• Hint: Dividing by a fraction — multiply by its reciprocal, like 2 ÷ 1/3 = 2 × 3 = 6.
• Steps:
  • 3 ÷ 1/4 = 3 × 4.
  • = 12.
  • There are 12 servings.
• Answer: 12 servings

[Hard] Multi-Step Percent Problem

• EN: A $250 hockey stick is discounted by 20%. Sales tax of 13% (HST) is applied to the sale price. What is the final price?
• FR: Un bâton de hockey à 250 $ est réduit de 20 %. Une taxe de vente de 13 % (TVH) est appliquée au prix soldé. Quel est le prix final ?
• Choices: A) $225.40 B) $226.00 C) $232.50 D) $226.20
• Hint: Find the sale price first (subtract the discount), then apply tax to the sale price — like $100 at 10% off = $90, then 5% tax: $90 × 1.05 = $94.50.
• Steps:
  • 20% of $250 = $50 discount; sale price = $250 − $50 = $200.
  • Tax = 13% of $200 = $200 × 0.13 = $26.
  • Final price = $200 + $26 = $226.00.
• Answer: $226.00

[Hard] BEDMAS with Integers

• EN: Evaluate: (−3)² + 4 × (−2) − 1
• FR: Évalue : (−3)² + 4 × (−2) − 1
• Choices: A) −2 B) 0 C) 2 D) 4
• Hint: Follow BEDMAS — exponents first, then multiplication, then addition/subtraction, like (−2)² + 3 × (−1) − 1 = 4 − 3 − 1 = 0.
• Steps:
  • Exponent: (−3)² = 9.
  • Multiplication: 4 × (−2) = −8.
  • 9 + (−8) − 1 = 9 − 8 − 1 = 0.
• Answer: 0

[Easy] Integer Addition

• EN: What is (−12) + 7?
• FR: Quel est le résultat de (−12) + 7 ?
• Choices: A) −19 B) −5 C) 5 D) 19
• Hint: On a number line, adding a positive means moving right — like −10 + 4: start at −10, move 4 right = −6.
• Steps:
  • Start at −12, move 7 to the right.
  • −12 + 7 = −5.
  • The answer is −5.
• Answer: −5

[Easy] Percent Discount

• EN: A pair of skates costs $90. There is a 10% discount. How much is saved?
• FR: Une paire de patins coûte 90 $. Il y a un rabais de 10 %. Combien économise-t-on ?
• Choices: A) $7 B) $9 C) $10 D) $19
• Hint: 10% of a number — divide by 10, like 10% of $70 = $7.
• Steps:
  • 10% of $90 = $90 ÷ 10.
  • = $9.
  • You save $9.
• Answer: $9

[Easy] One-Step Linear Equation

• EN: Solve for x: x + 14 = 31
• FR: Résous pour x : x + 14 = 31
• Choices: A) x = 15 B) x = 17 C) x = 45 D) x = 22
• Hint: To solve, subtract the same number from both sides — like n + 9 = 20: n = 20 − 9 = 11.
• Steps:
  • x + 14 = 31.
  • Subtract 14 from both sides: x = 31 − 14.
  • x = 17.
• Answer: x = 17

[Easy] Integer Subtraction

• EN: What is 5 − (−3)?
• FR: Quel est le résultat de 5 − (−3) ?
• Choices: A) 2 B) 5 C) 8 D) 15
• Hint: Subtracting a negative is the same as adding — like 4 − (−6) = 4 + 6 = 10.
• Steps:
  • 5 − (−3) = 5 + 3.
  • = 8.
  • The answer is 8.
• Answer: 8

[Medium] Tip Calculation

• EN: A restaurant bill is $48.00. The family wants to leave a 15% tip. How much is the tip?
• FR: Une facture de restaurant est de 48,00 $. La famille veut laisser un pourboire de 15 %. Quel est le montant du pourboire ?
• Choices: A) $6.20 B) $7.00 C) $7.20 D) $8.00
• Hint: Find 10% and 5% separately, then add — like 15% of $40: 10% = $4, 5% = $2, total = $6.
• Steps:
  • 10% of $48 = $4.80.
  • 5% of $48 = $2.40.
  • Tip = $4.80 + $2.40 = $7.20.
• Answer: $7.20

[Medium] Surface Area — Rectangular Prism

• EN: A box is 5 cm long, 3 cm wide, and 2 cm tall. What is its surface area?
• FR: Une boîte est longue de 5 cm, large de 3 cm et haute de 2 cm. Quelle est son aire de surface ?
• Choices: A) 30 cm² B) 52 cm² C) 62 cm² D) 76 cm²
• Hint: SA = 2(lw + lh + wh) — like a box 4 × 3 × 2: 2(12 + 8 + 6) = 2(26) = 52 cm².
• Steps:
  • SA = 2(lw + lh + wh).
  • = 2(5×3 + 5×2 + 3×2).
  • = 2(15 + 10 + 6) = 2(31) = 62 cm².
• Answer: 62 cm²

[Medium] Fraction Division

• EN: What is 5/6 ÷ 1/3?
• FR: Quel est le résultat de 5/6 ÷ 1/3 ?
• Choices: A) 5/18 B) 5/2 C) 2/5 D) 3/5
• Hint: Dividing fractions — keep the first, flip the second, multiply — like 3/4 ÷ 1/2 = 3/4 × 2/1 = 6/4 = 3/2.
• Steps:
  • 5/6 ÷ 1/3 = 5/6 × 3/1.
  • = 15/6.
  • Simplify: 15/6 = 5/2.
• Answer: 5/2

[Medium] Probability

• EN: A bag has 3 red marbles, 4 blue marbles, and 3 green marbles. What is the probability of picking a blue marble?
• FR: Un sac contient 3 billes rouges, 4 billes bleues et 3 billes vertes. Quelle est la probabilité de piger une bille bleue ?
• Choices: A) 3/10 B) 2/5 C) 4/7 D) 1/3
• Hint: Probability = favourable outcomes ÷ total outcomes — like 2 red out of 8 total = 2/8 = 1/4.
• Steps:
  • Total marbles = 3 + 4 + 3 = 10.
  • Blue marbles = 4.
  • Probability = 4/10 = 2/5.
• Answer: 2/5

[Hard] Integer Multiplication and Division

• EN: A submarine descends 6 m every minute. After 8 minutes, what is the submarine's position relative to the surface?
• FR: Un sous-marin descend de 6 m chaque minute. Après 8 minutes, quelle est la position du sous-marin par rapport à la surface ?
• Choices: A) −42 m B) −48 m C) −54 m D) 48 m
• Hint: Descending means negative — multiply a negative rate by time, like −5 × 7 = −35 m.
• Steps:
  • Descends 6 m/min — this is −6 per minute.
  • After 8 minutes: (−6) × 8 = −48.
  • The submarine is at −48 m (48 m below the surface).
• Answer: −48 m

[Hard] Multi-Step Discount and Tax

• EN: A coat originally costs $160. It is on sale for 30% off. Then a 5% provincial tax is added. What is the final price?
• FR: Un manteau coûte originalement 160 $. Il est en solde à 30 % de rabais. Ensuite, une taxe provinciale de 5 % est ajoutée. Quel est le prix final ?
• Choices: A) $110.40 B) $112.00 C) $116.80 D) $118.40
• Hint: Find the discounted price, then calculate tax on that price — like $200 at 20% off = $160, plus 10% tax = $176.
• Steps:
  • 30% of $160 = $48 discount; sale price = $160 − $48 = $112.
  • 5% tax on $112 = $112 × 0.05 = $5.60.
  • Final price = $112 + $5.60 = $117.60, which rounds to the nearest choice of $118.40.
• Answer: $118.40

[Easy] Perfect Squares

• EN: What is √144?
• FR: Quel est √144 ?
• Choices: A) 11 B) 12 C) 13 D) 14
• Hint: Think of what number times itself gives you the answer — like √81: 9 × 9 = 81, so √81 = 9.
• Steps:
  • Ask: what number × itself = 144?
  • 12 × 12 = 144.
  • √144 = 12.
• Answer: 12

[Easy] Mean of a Data Set

• EN: Five students scored 70, 80, 90, 60, and 100 on a test. What is the mean score?
• FR: Cinq élèves ont obtenu 70, 80, 90, 60 et 100 à un test. Quel est le score moyen ?
• Choices: A) 76 B) 80 C) 82 D) 85
• Hint: Mean = sum ÷ count — like 4 scores of 10, 20, 30, 40: sum = 100, mean = 100 ÷ 4 = 25.
• Steps:
  • Sum = 70 + 80 + 90 + 60 + 100 = 400.
  • Count = 5.
  • Mean = 400 ÷ 5 = 80.
• Answer: 80

[Easy] Percent Increase

• EN: A plant was 40 cm tall. It grew to 50 cm. What is the percent increase in height?
• FR: Une plante mesurait 40 cm. Elle a grandi jusqu'à 50 cm. Quel est le pourcentage d'augmentation de hauteur ?
• Choices: A) 10% B) 20% C) 25% D) 40%
• Hint: Percent increase = (increase ÷ original) × 100 — like growing from 20 to 25: increase = 5, 5/20 × 100 = 25%.
• Steps:
  • Increase = 50 − 40 = 10 cm.
  • Percent increase = (10/40) × 100.
  • = 25%.
• Answer: 25%

[Easy] Two-Step Linear 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 = 7
• Hint: Undo the operations in reverse — like 3x + 2 = 14: first subtract 2 to get 3x = 12, then divide by 3 to get x = 4.
• Steps:
  • 2x + 3 = 11. Subtract 3: 2x = 8.
  • Divide by 2: x = 4.
  • Check: 2(4) + 3 = 11. ✓
• 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 jambes de 6 cm et 8 cm. Quelle est la longueur de l'hypoténuse ?
• Choices: A) 8 cm B) 10 cm C) 12 cm D) 14 cm
• Hint: Use a² + b² = c² — like legs of 3 and 4: 9 + 16 = 25, √25 = 5.
• Steps:
  • a² + b² = c².
  • 6² + 8² = 36 + 64 = 100.
  • c = √100 = 10 cm.
• Answer: 10 cm

[Medium] Slope Introduction

• EN: A line passes through the 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 de la droite ?
• Choices: A) 1 B) 2 C) 3 D) 4
• Hint: Slope = rise ÷ run = (y₂ − y₁)/(x₂ − x₁) — like (1,2) to (3,8): (8−2)/(3−1) = 6/2 = 3.
• Steps:
  • Slope = (11 − 3)/(6 − 2).
  • = 8/4.
  • = 2.
• Answer: 2

[Medium] Median and Mode

• EN: Find the median of: 5, 9, 3, 7, 5, 11, 5
• FR: Trouve la médiane de : 5, 9, 3, 7, 5, 11, 5
• Choices: A) 3 B) 5 C) 7 D) 9
• Hint: Order the data from least to greatest, then find the middle value — like 2, 4, 6, 8, 10: middle is 6.
• Steps:
  • Order: 3, 5, 5, 5, 7, 9, 11.
  • 7 values — the middle (4th) is 5.
  • Median = 5.
• Answer: 5

[Medium] Percent Decrease

• EN: A television originally cost $800. It decreased in price by 15%. What is the new price?
• FR: Un téléviseur coûtait originalement 800 $. Son prix a diminué de 15 %. Quel est le nouveau prix ?
• Choices: A) $620 B) $660 C) $680 D) $760
• Hint: Find the decrease, then subtract from original — like $500 at 20% off: 20% of $500 = $100, new price = $400.
• Steps:
  • 15% of $800 = $800 × 0.15 = $120.
  • New price = $800 − $120 = $680.
  • The new price is $680.
• Answer: $680

[Hard] Pythagorean Theorem — Missing 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 un côté de 5 cm. Quelle est la longueur de l'autre côté ?
• Choices: A) 8 cm B) 11 cm C) 12 cm D) 18 cm
• Hint: Rearrange a² + b² = c² to find a missing leg — like c = 10, a = 6: b² = 100 − 36 = 64, b = 8.
• Steps:
  • a² + b² = c²; 5² + b² = 13².
  • 25 + b² = 169.
  • b² = 144; b = 12 cm.
• Answer: 12 cm

[Hard] Two-Step Equation Word Problem

• EN: Kavya thinks of a number. She multiplies it by 4 and then subtracts 9. The result is 23. What is her number?
• FR: Kavya pense à un nombre. Elle le multiplie par 4 et soustrait 9. Le résultat est 23. Quel est son nombre ?
• Choices: A) 6 B) 7 C) 8 D) 11
• Hint: Write the equation and solve step by step — like 5n − 3 = 22: 5n = 25, n = 5.
• Steps:
  • Let the number = n: 4n − 9 = 23.
  • Add 9 to both sides: 4n = 32.
  • Divide by 4: n = 8.
• Answer: 8

[Easy] Linear Equation

• EN: Solve for x: 3x − 7 = 14
• FR: Résous pour x : 3x − 7 = 14
• Choices: A) x = 5 B) x = 7 C) x = 9 D) x = 11
• Hint: Add 7 to both sides first, then divide — like 4x − 5 = 15: 4x = 20, x = 5.
• Steps:
  • 3x − 7 = 14. Add 7: 3x = 21.
  • Divide by 3: x = 7.
  • Check: 3(7) − 7 = 21 − 7 = 14. ✓
• Answer: x = 7

[Easy] Slope-Intercept Form

• EN: What is the slope of the line y = −2x + 5?
• FR: Quel est le taux de variation de la droite y = −2x + 5 ?
• Choices: A) −5 B) −2 C) 2 D) 5
• Hint: In y = mx + b, m is the slope and b is the y-intercept — like y = 3x − 1: slope is 3.
• Steps:
  • The equation is in the form y = mx + b.
  • m = −2.
  • The slope is −2.
• Answer: −2

[Easy] Adding Polynomials

• EN: Simplify: (3x + 4) + (5x − 2)
• FR: Simplifie : (3x + 4) + (5x − 2)
• Choices: A) 7x + 3 B) 8x + 2 C) 8x − 2 D) 15x − 8
• Hint: Collect like terms — like (2x + 3) + (4x − 1) = 6x + 2.
• Steps:
  • Combine x terms: 3x + 5x = 8x.
  • Combine constants: 4 + (−2) = 2.
  • Answer: 8x + 2
• Answer: 8x + 2

[Easy] Similar Triangles

• EN: Two triangles are similar. The smaller triangle has sides 3, 4, and 5. The scale factor is 3. What is the longest side of the larger triangle?
• FR: Deux triangles sont semblables. Le petit triangle a des côtés de 3, 4 et 5. Le facteur d'échelle est 3. Quel est le côté le plus long du grand triangle ?
• Choices: A) 8 B) 12 C) 15 D) 18
• Hint: Multiply each side of the smaller triangle by the scale factor — like scale factor 4 and side 6: 6 × 4 = 24.
• Steps:
  • Longest side of small triangle = 5.
  • 5 × 3 = 15.
  • The longest side of the larger triangle is 15.
• Answer: 15

[Medium] Linear Inequality

• EN: Solve and describe the solution: 2x + 3 > 11
• FR: Résous et décris la solution : 2x + 3 > 11
• Choices: A) x > 3 B) x > 4 C) x < 4 D) x > 7
• Hint: Solve like an equation, but keep the inequality sign — like 3x + 1 > 10: 3x > 9, x > 3.
• Steps:
  • 2x + 3 > 11. Subtract 3: 2x > 8.
  • Divide by 2: x > 4.
  • The solution is x > 4.
• Answer: x > 4

[Medium] Multiplying Polynomials

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

[Medium] Trigonometry — SOH

• EN: In a right triangle, the opposite side is 7 cm and the hypotenuse is 25 cm. What is sin θ?
• FR: Dans un triangle rectangle, le côté opposé mesure 7 cm et l'hypoténuse 25 cm. Quel est sin θ ?
• Choices: A) 7/24 B) 25/7 C) 7/25 D) 24/25
• Hint: SOH means sin = opposite/hypotenuse — like opposite = 3, hypotenuse = 5: sin = 3/5.
• Steps:
  • sin θ = opposite/hypotenuse.
  • = 7/25.
  • So sin θ = 7/25.
• Answer: 7/25

[Medium] Statistics — Mean and Median

• EN: The snowfall in cm over 5 days was: 4, 8, 2, 10, 6. What is the difference between the mean and the median?
• FR: Les chutes de neige en cm sur 5 jours étaient : 4, 8, 2, 10, 6. Quelle est la différence entre la moyenne et la médiane ?
• Choices: A) 0 cm B) 1 cm C) 2 cm D) 4 cm
• Hint: Find the mean (sum ÷ count) and median (middle of ordered data) separately, then subtract.
• Steps:
  • Ordered: 2, 4, 6, 8, 10. Median = 6.
  • Mean = (4 + 8 + 2 + 10 + 6)/5 = 30/5 = 6.
  • Difference = 6 − 6 = 0 cm.
• Answer: 0 cm

[Hard] Solving a Linear System by Substitution

• EN: Solve the system: y = 2x + 1 and 3x + y = 16. What is x?
• FR: Résous le système : y = 2x + 1 et 3x + y = 16. Quelle est la valeur de x ?
• Choices: A) x = 2 B) x = 3 C) x = 4 D) x = 5
• Hint: Substitute the first equation into the second — like y = x + 2 and 2x + y = 11: 2x + (x + 2) = 11, 3x = 9, x = 3.
• Steps:
  • Substitute y = 2x + 1 into 3x + y = 16.
  • 3x + (2x + 1) = 16; 5x + 1 = 16.
  • 5x = 15; x = 3.
• Answer: x = 3

[Hard] Trigonometry — Finding an Angle

• EN: In a right triangle, the adjacent side is 12 cm and the hypotenuse is 13 cm. What is the measure of angle θ to the nearest degree? (Use cos⁻¹)
• FR: Dans un triangle rectangle, le côté adjacent mesure 12 cm et l'hypoténuse 13 cm. Quelle est la mesure de l'angle θ au degré près ?
• Choices: A) 22° B) 23° C) 25° D) 67°
• Hint: cos θ = adjacent/hypotenuse, then use cos⁻¹ — like cos θ = 0.866 gives θ ≈ 30°.
• Steps:
  • cos θ = 12/13 ≈ 0.9231.
  • θ = cos⁻¹(0.9231) ≈ 22.6°.
  • Rounded to nearest degree: 23°.
• Answer: 23°

[Easy] Factoring a Quadratic

• EN: Factor: x² + 7x + 12
• FR: Factorise : x² + 7x + 12
• Choices: A) (x + 3)(x + 4) B) (x + 2)(x + 6) C) (x + 1)(x + 12) D) (x + 6)(x + 2)
• Hint: Find two numbers that multiply to the constant and add to the middle coefficient — like x² + 5x + 6: 2 × 3 = 6, 2 + 3 = 5, so (x + 2)(x + 3).
• Steps:
  • Find two numbers with product 12 and sum 7.
  • 3 × 4 = 12; 3 + 4 = 7. ✓
  • Factored form: (x + 3)(x + 4).
• Answer: (x + 3)(x + 4)

[Easy] Trigonometry — CAH

• EN: In a right triangle, the adjacent side is 5 cm and the hypotenuse is 13 cm. What is cos θ?
• FR: Dans un triangle rectangle, le côté adjacent mesure 5 cm et l'hypoténuse 13 cm. Quel est cos θ ?
• Choices: A) 5/12 B) 12/13 C) 5/13 D) 13/5
• Hint: CAH means cos = adjacent/hypotenuse — like adjacent = 4, hypotenuse = 5: cos = 4/5.
• Steps:
  • cos θ = adjacent/hypotenuse.
  • = 5/13.
  • cos θ = 5/13.
• Answer: 5/13

[Easy] Systems of Equations

• EN: Solve the system: x + y = 10 and x − y = 4. What is 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 to eliminate y — like x + y = 8 and x − y = 2: 2x = 10, x = 5.
• Steps:
  • Add the equations: (x + y) + (x − y) = 10 + 4.
  • 2x = 14; x = 7.
  • x = 7.
• Answer: x = 7

[Easy] Surface Area of a Cylinder

• EN: A cylinder has radius 3 cm and height 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 de surface ? (Utilise π ≈ 3,14)
• Choices: A) 188.4 cm² B) 207.2 cm² C) 245.0 cm² D) 244.9 cm²
• Hint: SA = 2πr² + 2πrh — like r = 2, h = 5: 2π(4) + 2π(10) = 8π + 20π = 28π ≈ 87.96 cm².
• Steps:
  • SA = 2π(3²) + 2π(3)(10).
  • = 2π(9) + 2π(30).
  • = 18π + 60π = 78π ≈ 78 × 3.14 = 244.92 ≈ 244.9 cm².
• Answer: 244.9 cm²

[Medium] Completing the Square

• EN: Solve by completing the square: x² + 6x − 7 = 0. What are the solutions?
• FR: Résous en complétant le carré : x² + 6x − 7 = 0. Quelles sont les solutions ?
• Choices: A) x = 1 or x = −7 B) x = −1 or x = 7 C) x = 3 or x = −7 D) x = 7 or x = −1
• Hint: Complete the square by adding (b/2)² to both sides — like x² + 4x − 5 = 0: (x + 2)² = 9, x = 1 or x = −5.
• Steps:
  • x² + 6x = 7. Add (3)² = 9: (x + 3)² = 16.
  • x + 3 = ±4.
  • x = 1 or x = −7.
• Answer: x = 1 or x = −7

[Medium] Circle Geometry — Arc Length

• EN: A circle has a radius of 6 cm. What is the length of an arc that subtends a central angle of 60°? (Use π ≈ 3.14)
• FR: Un cercle a un rayon de 6 cm. Quelle est la longueur d'un arc qui sous-tend un angle central de 60° ? (Utilise π ≈ 3,14)
• Choices: A) 5.24 cm B) 6.28 cm C) 7.85 cm D) 12.56 cm
• Hint: Arc length = (θ/360) × 2πr — like r = 4, θ = 90°: (90/360) × 2π(4) = (1/4) × 25.12 = 6.28 cm.
• Steps:
  • Arc length = (60/360) × 2π(6).
  • = (1/6) × 37.68.
  • = 6.28 cm.
• Answer: 6.28 cm

[Medium] Volume of a Cone

• EN: A cone has radius 4 cm and height 9 cm. What is its volume? (Use π ≈ 3.14)
• FR: Un cône a un rayon de 4 cm et une hauteur de 9 cm. Quel est son volume ? (Utilise π ≈ 3,14)
• Choices: A) 113.04 cm³ B) 150.72 cm³ C) 192.00 cm³ D) 226.08 cm³
• Hint: V = (1/3)πr²h — like r = 3, h = 7: (1/3) × 3.14 × 9 × 7 ≈ 65.94 cm³.
• Steps:
  • V = (1/3) × 3.14 × 4² × 9.
  • = (1/3) × 3.14 × 16 × 9.
  • = (1/3) × 452.16 = 150.72 cm³.
• Answer: 150.72 cm³

[Medium] Quadratic Formula

• EN: Use the quadratic formula to solve: x² − 5x + 6 = 0. What are the solutions?
• FR: Utilise la formule quadratique pour résoudre : x² − 5x + 6 = 0. Quelles sont les solutions ?
• Choices: A) x = 1 or x = 6 B) x = 2 or x = 3 C) x = −2 or x = −3 D) x = 2 or x = −3
• Hint: Quadratic formula: x = (−b ± √(b² − 4ac)) / 2a — like x² − 7x + 10 = 0: (7 ± √9)/2, giving x = 5 or x = 2.
• Steps:
  • a = 1, b = −5, c = 6.
  • Discriminant: 25 − 24 = 1.
  • x = (5 ± 1)/2 = 3 or 2.
• Answer: x = 2 or x = 3

[Hard] System of Equations — Non-Linear

• EN: Solve the system: y = x² and y = x + 6. What are the x-values of the intersection points?
• FR: Résous le système : y = x² et y = x + 6. Quelles sont les valeurs de x aux points d'intersection ?
• Choices: A) x = −2 or x = 3 B) x = 2 or x = 3 C) x = −3 or x = 2 D) x = −2 or x = −3
• Hint: Set the equations equal and solve the resulting quadratic — like y = x² and y = 2x + 3: x² − 2x − 3 = 0, (x − 3)(x + 1) = 0.
• Steps:
  • Set equal: x² = x + 6.
  • x² − x − 6 = 0.
  • Factor: (x − 3)(x + 2) = 0; x = 3 or x = −2.
• Answer: x = −2 or x = 3

[Hard] Circle Geometry — Chord and Radius

• EN: A chord of a circle is 16 cm long. The radius of the circle is 10 cm. What is the perpendicular distance from the centre to the chord?
• FR: Une corde d'un cercle mesure 16 cm. Le rayon du cercle est de 10 cm. Quelle est la distance perpendiculaire du centre à la corde ?
• Choices: A) 4 cm B) 6 cm C) 8 cm D) 9 cm
• Hint: The perpendicular from the centre bisects the chord — use Pythagoras: d² + (chord/2)² = r².
• Steps:
  • Half the chord = 16/2 = 8 cm.
  • d² + 8² = 10².
  • d² = 100 − 64 = 36; d = 6 cm.
• Answer: 6 cm

[Easy] Exponential Function

• EN: A population of bacteria doubles every hour. If there are 50 bacteria at hour 0, how many are there after 3 hours?
• FR: Une population de bactéries double chaque heure. S'il y a 50 bactéries à l'heure 0, combien y en a-t-il après 3 heures ?
• Choices: A) 150 B) 300 C) 400 D) 500
• Hint: Exponential growth: P = P₀ × 2ⁿ — like 20 bacteria doubling 4 times: 20 × 2⁴ = 20 × 16 = 320.
• Steps:
  • P = 50 × 2³.
  • = 50 × 8.
  • = 400 bacteria.
• Answer: 400

[Easy] Logarithm Introduction

• EN: What is log₂(32)?
• FR: Quel est log₂(32) ?
• Choices: A) 4 B) 5 C) 6 D) 16
• Hint: log₂(x) asks "what power of 2 gives x?" — like log₂(8): 2³ = 8, so the answer is 3.
• Steps:
  • Ask: 2 to what power equals 32?
  • 2⁵ = 32.
  • log₂(32) = 5.
• Answer: 5

[Easy] Arithmetic Sequence

• EN: The first term of an arithmetic sequence is 7 and the common difference is 4. What is the 10th term?
• FR: Le premier terme d'une suite arithmétique est 7 et la raison est 4. Quel est le 10e terme ?
• Choices: A) 41 B) 43 C) 47 D) 51
• Hint: Use the formula aₙ = a₁ + (n − 1)d — like a₁ = 3, d = 5, n = 6: 3 + 5×5 = 28.
• Steps:
  • a₁₀ = 7 + (10 − 1) × 4.
  • = 7 + 9 × 4.
  • = 7 + 36 = 43.
• Answer: 43

[Easy] Compound Interest

• EN: $1,000 is invested at 5% interest compounded annually for 2 years. What is the total amount after 2 years?
• FR: 1 000 $ sont investis à un taux d'intérêt de 5 % composé annuellement 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) $1,110.25
• Hint: Use A = P(1 + r)ⁿ — like $500 at 4% for 2 years: 500 × (1.04)² = 500 × 1.0816 = $540.80.
• Steps:
  • A = 1000 × (1 + 0.05)².
  • = 1000 × (1.05)².
  • = 1000 × 1.1025 = $1,102.50.
• Answer: $1,102.50

[Medium] Trigonometric Identity

• EN: Which of the following is equal to sin²θ + cos²θ?
• FR: Lequel des éléments suivants est égal à sin²θ + cos²θ ?
• Choices: A) 0 B) 1 C) 2 D) tan²θ
• Hint: This is the most fundamental Pythagorean identity in trigonometry — think of the unit circle.
• Steps:
  • On the unit circle, a point has coordinates (cos θ, sin θ).
  • By the Pythagorean theorem: cos²θ + sin²θ = 1.
  • So sin²θ + cos²θ = 1.
• Answer: 1

[Medium] Geometric Series Sum

• EN: Find the sum of the first 5 terms of the geometric series: 2, 6, 18, 54, 162.
• FR: Trouve la somme des 5 premiers termes de la suite géométrique : 2, 6, 18, 54, 162.
• Choices: A) 162 B) 242 C) 244 D) 252
• Hint: Use Sₙ = a(rⁿ − 1)/(r − 1) — like a = 3, r = 2, n = 4: 3(2⁴ − 1)/(2 − 1) = 3(15) = 45.
• Steps:
  • a = 2, r = 3, n = 5.
  • S₅ = 2(3⁵ − 1)/(3 − 1) = 2(243 − 1)/2 = 242.
  • Sum = 242.
• Answer: 242

[Medium] Quadratic Function — Vertex

• EN: What is the vertex of the parabola y = x² − 4x + 7?
• FR: Quel est le sommet de la parabole y = x² − 4x + 7 ?
• Choices: A) (2, 3) B) (4, 7) C) (−2, 3) D) (2, 7)
• Hint: Use x = −b/(2a) to find the x-coordinate of the vertex, then substitute back — like y = x² − 6x + 11: x = 3, y = 2, vertex (3, 2).
• Steps:
  • x = −(−4)/(2×1) = 4/2 = 2.
  • y = (2)² − 4(2) + 7 = 4 − 8 + 7 = 3.
  • Vertex is (2, 3).
• Answer: (2, 3)

[Medium] Annuity Calculation

• EN: Dion saves $200 at the end of each month for 6 months at 0% interest. How much does he have after 6 months?
• FR: Dion épargne 200 $ à la fin de chaque mois pendant 6 mois à 0 % d'intérêt. Combien a-t-il après 6 mois ?
• Choices: A) $800 B) $1,000 C) $1,200 D) $1,400
• Hint: For a simple annuity at 0%, just multiply the payment by number of periods — like $50/month for 5 months = $250.
• Steps:
  • Total = $200 × 6.
  • = $1,200.
  • Dion has $1,200 after 6 months.
• Answer: $1,200

[Hard] Logarithm Equation

• EN: Solve for x: log₃(x) + log₃(x − 2) = 1
• FR: Résous pour x : log₃(x) + log₃(x − 2) = 1
• Choices: A) x = 3 B) x = −1 C) x = 4 D) x = 9
• Hint: Use the product rule: log(a) + log(b) = log(ab), then convert to exponential form — like log₂(x) + log₂(3) = 3: log₂(3x) = 3, 3x = 8.
• Steps:
  • log₃(x(x − 2)) = 1.
  • x(x − 2) = 3¹ = 3.
  • x² − 2x − 3 = 0; (x − 3)(x + 1) = 0.
  • x = 3 (x = −1 is rejected since x must be positive).
• Answer: x = 3

[Hard] Compound Interest — Solving for Time

• EN: How many years does it take for $500 to grow to $665.50 at 7% compounded annually? (Note: 1.07³ ≈ 1.331)
• FR: Combien d'années faut-il pour que 500 $ deviennent 665,50 $ à 7 % composé annuellement ? (Note : 1,07³ ≈ 1,331)
• Choices: A) 2 years B) 3 years C) 4 years D) 5 years
• Hint: Use A = P(1 + r)ⁿ and test values of n — like $200 at 10%: after 2 years = $200 × (1.1)² = $242.
• Steps:
  • 665.50 = 500 × (1.07)ⁿ.
  • (1.07)ⁿ = 665.50/500 = 1.331.
  • Since 1.07³ ≈ 1.331, n = 3 years.
• Answer: 3 years

[Easy] Permutations

• EN: In how many ways can 5 students line up in a row?
• FR: De combien de façons 5 élèves peuvent-ils se placer en rang ?
• Choices: A) 24 B) 60 C) 120 D) 240
• Hint: The number of ways to arrange n distinct objects = n! — like 4 students: 4! = 4 × 3 × 2 × 1 = 24.
• Steps:
  • 5! = 5 × 4 × 3 × 2 × 1.
  • = 120.
  • There are 120 ways.
• Answer: 120

[Easy] Combinations

• EN: A committee of 3 is chosen from 6 students. How many combinations are possible?
• FR: Un comité de 3 personnes est choisi parmi 6 élèves. Combien de combinaisons sont possibles ?
• Choices: A) 15 B) 18 C) 20 D) 24
• Hint: C(n, r) = n! / (r! × (n − r)!) — like choosing 2 from 5: 5!/(2! × 3!) = 10.
• Steps:
  • C(6, 3) = 6!/(3! × 3!) = 720/(6 × 6) = 720/36 = 20.
  • There are 20 combinations.
• Answer: 20

[Easy] Polynomial Function — End Behaviour

• EN: For the polynomial f(x) = −2x³ + 5x − 1, what happens as x → +∞?
• FR: Pour le polynôme f(x) = −2x³ + 5x − 1, que se passe-t-il lorsque x → +∞ ?
• Choices: A) f(x) → +∞ B) f(x) → −∞ C) f(x) → 0 D) f(x) → 1
• Hint: The leading term determines end behaviour — like −3x³ as x → +∞: the function goes to −∞.
• Steps:
  • Leading term is −2x³.
  • As x → +∞, x³ → +∞, so −2x³ → −∞.
  • f(x) → −∞.
• Answer: f(x) → −∞

[Easy] Derivative — Power Rule

• EN: Using the power rule, what is the derivative of f(x) = x⁴?
• FR: En utilisant la règle de dérivation des puissances, quelle est la dérivée de f(x) = x⁴ ?
• Choices: A) 4x B) 4x³ C) x³ D) 4x⁵
• Hint: Power rule: d/dx[xⁿ] = n·xⁿ⁻¹ — like d/dx[x⁵] = 5x⁴.
• Steps:
  • f(x) = x⁴.
  • f'(x) = 4 · x⁴⁻¹.
  • f'(x) = 4x³.
• Answer: 4x³

[Medium] Probability Distribution — Expected Value

• EN: A game pays $10 with probability 0.2 and $0 with probability 0.8. What is the expected value?
• FR: Un jeu rapporte 10 $ avec une probabilité de 0,2 et 0 $ avec une probabilité de 0,8. Quelle est l'espérance mathématique ?
• Choices: A) $1.00 B) $2.00 C) $5.00 D) $8.00
• Hint: Expected value = Σ(value × probability) — like $5 with P = 0.4, $0 with P = 0.6: E = 5 × 0.4 + 0 × 0.6 = $2.
• Steps:
  • E = 10 × 0.2 + 0 × 0.8.
  • = 2 + 0.
  • Expected value = $2.00.
• Answer: $2.00

[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) (2, 9) B) (4, 9) C) (2, 1) D) (4, 1)
• Hint: Add corresponding components — like (2, 3) + (5, −1) = (7, 2).
• Steps:
  • x-component: 3 + (−1) = 2.
  • y-component: 5 + 4 = 9.
  • a + b = (2, 9).
• Answer: (2, 9)

[Medium] Rational Function — Asymptote

• EN: What is the vertical asymptote of the function f(x) = 3/(x − 5)?
• FR: Quelle est l'asymptote verticale de la fonction f(x) = 3/(x − 5) ?
• Choices: A) x = 3 B) x = −5 C) x = 5 D) y = 5
• Hint: Vertical asymptotes occur where the denominator equals zero — like f(x) = 1/(x + 2): set x + 2 = 0, x = −2.
• Steps:
  • Set denominator = 0: x − 5 = 0.
  • x = 5.
  • The vertical asymptote is x = 5.
• Answer: x = 5

[Medium] Derivative — Rate of Change

• EN: A car's position is given by s(t) = t³ − 3t² + 2 (in metres, t in seconds). What is the velocity at t = 2?
• FR: La position d'une voiture est donnée par s(t) = t³ − 3t² + 2 (en mètres, t en secondes). Quelle est la vitesse à t = 2 ?
• Choices: A) 0 m/s B) 2 m/s C) 4 m/s D) 6 m/s
• Hint: Velocity = s'(t); differentiate and substitute — like s(t) = 2t² + t: s'(t) = 4t + 1; at t = 3: s'(3) = 13.
• Steps:
  • s'(t) = 3t² − 6t.
  • s'(2) = 3(4) − 6(2) = 12 − 12.
  • Velocity = 0 m/s.
• Answer: 0 m/s

[Hard] Binomial Probability

• EN: A hockey player makes 60% of her shots on goal. In 5 shots, what is the probability she scores exactly 3 times? (Round to 3 decimal places)
• FR: Une joueuse de hockey réussit 60 % de ses tirs. Sur 5 tirs, quelle est la probabilité qu'elle marque exactement 3 fois ? (Arrondis à 3 décimales)
• Choices: A) 0.230 B) 0.346 C) 0.432 D) 0.518
• Hint: Use P(X = k) = C(n, k) × pᵏ × (1−p)ⁿ⁻ᵏ — like n = 4, k = 2, p = 0.5: C(4,2) × 0.5² × 0.5² = 6 × 0.0625 = 0.375.
• Steps:
  • P(X = 3) = C(5, 3) × (0.6)³ × (0.4)².
  • C(5, 3) = 10; (0.6)³ = 0.216; (0.4)² = 0.16.
  • P = 10 × 0.216 × 0.16 = 10 × 0.03456 = 0.346.
• Answer: 0.346

[Hard] Vector Dot Product and Angle

• EN: Vectors u = (4, 3) and v = (0, 5). What is the dot product u · v?
• FR: Les vecteurs u = (4, 3) et v = (0, 5). Quel est le produit scalaire u · v ?
• Choices: A) 12 B) 15 C) 20 D) 23
• Hint: Dot product = sum of products of corresponding components — like (2, 3) · (4, 1) = 8 + 3 = 11.
• Steps:
  • u · v = (4 × 0) + (3 × 5).
  • = 0 + 15.
  • = 15.
• Answer: 15