Daily Math — 2026-07-05

[Easy] Counting Crayons

• EN: Mia has 7 crayons. She gets 5 more. How many crayons does she have now?
• FR: Mia a 7 crayons. Elle en reçoit 5 de plus. Combien de crayons a-t-elle maintenant?
• Choices: A) 10 B) 11 C) 12 D) 13
• Hint: To add, count on from the bigger number. Try: 6 + 4 — start at 6 and count up 4.
• Steps:
  • Start at 7.
  • Count up 5 more: 8, 9, 10, 11, 12.
• Answer: 12

[Easy] Hockey Pucks

• EN: There are 9 hockey pucks on the ice. 3 are taken away. How many are left?
• FR: Il y a 9 rondelles de hockey sur la glace. On en enlève 3. Combien en reste-t-il?
• Choices: A) 4 B) 5 C) 6 D) 7
• Hint: To subtract, count back from the bigger number. Try: 8 − 3 — start at 8 and count back 3.
• Steps:
  • Start at 9.
  • Count back 3: 8, 7, 6.
• Answer: 6

[Easy] Skip Counting by 2s

• EN: Count by 2s: 2, 4, 6, 8, ___. What comes next?
• FR: Compte par 2: 2, 4, 6, 8, ___. Quel est le prochain nombre?
• Choices: A) 9 B) 10 C) 11 D) 12
• Hint: Skip counting by 2s means adding 2 each time. Try: 4, 6, 8 — add 2 to get 10.
• Steps:
  • The pattern adds 2 each time.
  • 8 + 2 = 10.
• Answer: 10

[Easy] Coin Recognition

• EN: Which coin is worth 10 cents in Canada?
• FR: Quelle pièce vaut 10 cents au Canada?
• Choices: A) Penny B) Nickel C) Dime D) Loonie
• Hint: A penny = 1 cent, a nickel = 5 cents — the next coin up is worth 10 cents.
• Steps:
  • Penny = 1 cent, Nickel = 5 cents.
  • The coin worth 10 cents is called a dime.
• Answer: Dime

[Medium] Comparing Numbers

• EN: Which number is greater: 14 or 41?
• FR: Quel nombre est plus grand : 14 ou 41?
• Choices: A) 14 B) 41 C) They are equal D) Cannot tell
• Hint: Look at the tens digit first. A number with more tens is bigger. Try: 21 vs. 12 — 21 is bigger.
• Steps:
  • 14 has 1 ten. 41 has 4 tens.
  • 4 tens > 1 ten, so 41 is greater.
• Answer: 41

[Medium] Adding on a Number Line

• EN: What is 8 + 6?
• FR: Combien font 8 + 6?
• Choices: A) 12 B) 13 C) 14 D) 15
• Hint: Break the second number to make 10. Try: 7 + 5 → 7 + 3 + 2 = 12 + 2 = 14.
• Steps:
  • 8 + 2 = 10 (use 2 from the 6).
  • 10 + 4 = 14.
• Answer: 14

[Medium] Skip Counting by 5s

• EN: Count by 5s: 5, 10, 15, ___. What comes next?
• FR: Compte par 5: 5, 10, 15, ___. Quel est le prochain nombre?
• Choices: A) 16 B) 18 C) 20 D) 25
• Hint: Skip counting by 5s means adding 5 each time. Try: 10 + 5 = 15, so 15 + 5 = ?
• Steps:
  • The pattern adds 5 each time.
  • 15 + 5 = 20.
• Answer: 20

[Medium] Subtracting at the Store

• EN: Luca has 15 stickers. He gives 8 to his friend. How many stickers does he have left?
• FR: Luca a 15 autocollants. Il en donne 8 à son ami. Combien lui en reste-t-il?
• Choices: A) 5 B) 6 C) 7 D) 8
• Hint: To subtract, think of the related addition. Try: 16 − 9 → what + 9 = 16? Answer: 7.
• Steps:
  • Think: 8 + ? = 15.
  • 8 + 7 = 15, so 15 − 8 = 7.
• Answer: 7

[Hard] Adding Three Numbers

• EN: What is 4 + 5 + 6?
• FR: Combien font 4 + 5 + 6?
• Choices: A) 13 B) 14 C) 15 D) 16
• Hint: Add two numbers first, then add the third. Try: 3 + 4 + 5 → 3 + 4 = 7, then 7 + 5 = 12.
• Steps:
  • First: 4 + 5 = 9.
  • Then: 9 + 6 = 15.
• Answer: 15

[Hard] Counting to 100

• EN: What number comes just before 100?
• FR: Quel nombre vient juste avant 100?
• Choices: A) 98 B) 99 C) 101 D) 90
• Hint: "Just before" means one less. Try: the number just before 50 is 49.
• Steps:
  • 100 − 1 = 99.
  • The number just before 100 is 99.
• Answer: 99

[Easy] Adding Two-Digit Numbers

• EN: What is 23 + 14?
• FR: Combien font 23 + 14?
• Choices: A) 35 B) 36 C) 37 D) 38
• Hint: Add the ones first, then the tens. Try: 31 + 15 → ones: 1+5=6, tens: 3+1=4, answer: 46.
• Steps:
  • Ones: 3 + 4 = 7.
  • Tens: 2 + 1 = 3. Answer: 37.
• Answer: 37

[Easy] Telling Time

• EN: The clock shows the hour hand on 3 and the minute hand on 12. What time is it?
• FR: L'aiguille des heures est sur le 3 et l'aiguille des minutes est sur le 12. Quelle heure est-il?
• Choices: A) 12:03 B) 3:00 C) 3:30 D) 12:15
• Hint: When the minute hand is on 12, it is exactly on the hour. Try: hour hand on 7, minute on 12 → 7:00.
• Steps:
  • Minute hand on 12 means it is exactly on the hour.
  • Hour hand on 3 → it is 3:00.
• Answer: 3:00

[Easy] Subtracting Two-Digit Numbers

• EN: What is 45 − 23?
• FR: Combien font 45 − 23?
• Choices: A) 20 B) 21 C) 22 D) 23
• Hint: Subtract ones first, then tens. Try: 56 − 34 → ones: 6−4=2, tens: 5−3=2, answer: 22.
• Steps:
  • Ones: 5 − 3 = 2.
  • Tens: 4 − 2 = 2. Answer: 22.
• Answer: 22

[Easy] Measuring Length

• EN: A pencil is 15 cm long. A crayon is 8 cm long. How much longer is the pencil?
• FR: Un crayon est long de 15 cm. Un crayon de cire est long de 8 cm. De combien le crayon est-il plus long?
• Choices: A) 5 cm B) 6 cm C) 7 cm D) 8 cm
• Hint: "How much longer" means subtract the shorter from the longer. Try: 20 cm − 12 cm = 8 cm.
• Steps:
  • 15 − 8 = 7.
  • The pencil is 7 cm longer.
• Answer: 7 cm

[Medium] Counting Coins

• EN: You have 2 dimes and 3 nickels. How much money do you have?
• FR: Tu as 2 pièces de 10 cents et 3 pièces de 5 cents. Combien d'argent as-tu?
• Choices: A) 25 cents B) 30 cents C) 35 cents D) 40 cents
• Hint: Count each coin's value: dime = 10¢, nickel = 5¢. Try: 1 dime + 2 nickels = 10 + 10 = 20¢.
• Steps:
  • 2 dimes = 10 + 10 = 20 cents.
  • 3 nickels = 5 + 5 + 5 = 15 cents.
  • 20 + 15 = 35 cents.
• Answer: 35 cents

[Medium] Telling Time — Half Hour

• EN: The hour hand is between 6 and 7, and the minute hand is on 6. What time does the clock show?
• FR: L'aiguille des heures est entre le 6 et le 7, et l'aiguille des minutes est sur le 6. Quelle heure l'horloge indique-t-elle?
• Choices: A) 6:00 B) 6:30 C) 7:00 D) 7:30
• Hint: When the minute hand is on 6, it is 30 minutes past the hour. Try: hour hand between 4 and 5, minute on 6 → 4:30.
• Steps:
  • Minute hand on 6 = 30 minutes.
  • Hour hand between 6 and 7 → 6:30.
• Answer: 6:30

[Medium] Number Patterns

• EN: What is the missing number? 10, 20, 30, ___, 50
• FR: Quel est le nombre manquant? 10, 20, 30, ___, 50
• Choices: A) 35 B) 38 C) 40 D) 45
• Hint: Find the pattern by looking at how much is added each time. Try: 5, 10, 15, ___ → add 5 each time, so 20.
• Steps:
  • Each number increases by 10.
  • 30 + 10 = 40.
• Answer: 40

[Medium] Adding with Regrouping

• EN: What is 37 + 45?
• FR: Combien font 37 + 45?
• Choices: A) 72 B) 81 C) 82 D) 83
• Hint: When ones add up to 10 or more, regroup (carry 1). Try: 28 + 34 → 8+4=12, write 2 carry 1, 2+3+1=6, answer: 62.
• Steps:
  • Ones: 7 + 5 = 12. Write 2, carry 1.
  • Tens: 3 + 4 + 1 = 8. Answer: 82.
• Answer: 82

[Hard] Money Problem

• EN: Sofia has 75 cents. She spends 48 cents on a sticker. How many cents does she have left?
• FR: Sofia a 75 cents. Elle dépense 48 cents pour un autocollant. Combien de cents lui reste-t-il?
• Choices: A) 23 cents B) 27 cents C) 33 cents D) 37 cents
• Hint: Subtract with regrouping: borrow from the tens when ones aren't enough. Try: 83 − 56 → borrow from tens, 13−6=7, 7−5=2, answer: 27.
• Steps:
  • Ones: 5 − 8 doesn't work; borrow → 15 − 8 = 7.
  • Tens: 6 − 4 = 2 (after borrowing). Answer: 27 cents.
• Answer: 27 cents

[Hard] Measuring and Comparing

• EN: A table is 1 metre long. A book is 30 cm long. How many centimetres longer is the table than the book?
• FR: Une table est longue d'1 mètre. Un livre est long de 30 cm. De combien de centimètres la table est-elle plus longue que le livre?
• Choices: A) 60 cm B) 70 cm C) 80 cm D) 90 cm
• Hint: First convert metres to centimetres (1 m = 100 cm), then subtract. Try: 1 m − 45 cm = 100 − 45 = 55 cm.
• Steps:
  • 1 metre = 100 cm.
  • 100 − 30 = 70 cm.
• Answer: 70 cm

[Easy] Multiplication — 2s Table

• EN: What is 4 × 2?
• FR: Combien font 4 × 2?
• Choices: A) 6 B) 8 C) 10 D) 12
• Hint: Multiply by 2 means double the number. Try: 3 × 2 = 3 + 3 = 6.
• Steps:
  • 4 × 2 means 4 groups of 2.
  • 2 + 2 + 2 + 2 = 8.
• Answer: 8

[Easy] Basic Division

• EN: 15 ÷ 5 = ?
• FR: 15 ÷ 5 = ?
• Choices: A) 2 B) 3 C) 4 D) 5
• Hint: Division means sharing equally. Try: 20 ÷ 5 → how many 5s fit into 20? Answer: 4.
• Steps:
  • How many groups of 5 make 15?
  • 5 × 3 = 15, so 15 ÷ 5 = 3.
• Answer: 3

[Easy] Fractions — Identifying 1/2

• EN: A pizza is cut into 2 equal pieces. What fraction does 1 piece represent?
• FR: Une pizza est coupée en 2 parts égales. Quelle fraction représente 1 part?
• Choices: A) 1/4 B) 1/3 C) 1/2 D) 2/3
• Hint: A fraction shows parts out of a whole. Try: a pie cut into 4 equal pieces → 1 piece = 1/4.
• Steps:
  • The pizza is divided into 2 equal parts.
  • 1 piece out of 2 = 1/2.
• Answer: 1/2

[Easy] Multiplication — 5s Table

• EN: What is 6 × 5?
• FR: Combien font 6 × 5?
• Choices: A) 25 B) 30 C) 35 D) 40
• Hint: Multiplying by 5 is like skip counting by 5. Try: 4 × 5 → 5, 10, 15, 20 = 20.
• Steps:
  • Skip count by 5 six times: 5, 10, 15, 20, 25, 30.
  • 6 × 5 = 30.
• Answer: 30

[Medium] Perimeter of a Rectangle

• EN: A rectangle is 5 cm long and 3 cm wide. What is its perimeter?
• FR: Un rectangle est long de 5 cm et large de 3 cm. Quel est son périmètre?
• Choices: A) 14 cm B) 15 cm C) 16 cm D) 18 cm
• Hint: Perimeter = add all sides. A rectangle has 2 long sides and 2 short sides. Try: 4 cm + 2 cm + 4 cm + 2 cm = 12 cm.
• Steps:
  • Perimeter = 5 + 3 + 5 + 3.
  • 5 + 3 + 5 + 3 = 16 cm.
• Answer: 16 cm

[Medium] Reading a Graph

• EN: A bar graph shows that 8 students like hockey, 5 like soccer, and 3 like basketball. How many students were surveyed in total?
• FR: Un diagramme à barres montre que 8 élèves aiment le hockey, 5 aiment le soccer et 3 aiment le basketball. Combien d'élèves ont été sondés au total?
• Choices: A) 13 B) 14 C) 15 D) 16
• Hint: Add all the groups together. Try: 6 + 4 + 2 = 12.
• Steps:
  • 8 + 5 = 13.
  • 13 + 3 = 16.
• Answer: 16

[Medium] Multiplication — 3s Table

• EN: What is 7 × 3?
• FR: Combien font 7 × 3?
• Choices: A) 18 B) 21 C) 24 D) 27
• Hint: Use skip counting by 3. Try: 5 × 3 → 3, 6, 9, 12, 15 = 15.
• Steps:
  • 3, 6, 9, 12, 15, 18, 21.
  • 7 × 3 = 21.
• Answer: 21

[Medium] Division with Sharing

• EN: 24 students are placed in groups of 4. How many groups are there?
• FR: 24 élèves sont placés en groupes de 4. Combien y a-t-il de groupes?
• Choices: A) 4 B) 5 C) 6 D) 7
• Hint: Divide the total by the group size. Try: 20 ÷ 4 = 5 groups.
• Steps:
  • 24 ÷ 4 = ?
  • 4 × 6 = 24, so there are 6 groups.
• Answer: 6

[Hard] Fractions on a Number Line

• EN: Which fraction is greater: 1/2 or 1/4?
• FR: Quelle fraction est plus grande : 1/2 ou 1/4?
• Choices: A) 1/4 B) 1/2 C) They are equal D) Cannot be compared
• Hint: Imagine cutting a pizza — more cuts means smaller pieces. A pizza cut in 2 has bigger slices than one cut in 4.
• Steps:
  • 1/2 means 1 out of 2 equal parts (bigger pieces).
  • 1/4 means 1 out of 4 equal parts (smaller pieces).
  • So 1/2 > 1/4.
• Answer: 1/2

[Hard] Perimeter Word Problem

• EN: A square has a perimeter of 20 cm. What is the length of each side?
• FR: Un carré a un périmètre de 20 cm. Quelle est la longueur de chaque côté?
• Choices: A) 4 cm B) 5 cm C) 6 cm D) 10 cm
• Hint: A square has 4 equal sides. Divide the perimeter by 4. Try: perimeter = 16 cm → 16 ÷ 4 = 4 cm per side.
• Steps:
  • A square has 4 equal sides.
  • 20 ÷ 4 = 5 cm.
• Answer: 5 cm

[Easy] Multiplication Facts

• EN: What is 7 × 8?
• FR: Combien font 7 × 8?
• Choices: A) 48 B) 54 C) 56 D) 63
• Hint: Break it up: 7 × 8 = 7 × 4 × 2. Try: 6 × 8 → 6 × 4 = 24, then 24 × 2 = 48.
• Steps:
  • 7 × 8 = 7 × 4 × 2 = 28 × 2 = 56.
  • Or memorize: 7 × 8 = 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 place des dixièmes?
• Choices: A) 3 B) 4 C) 7 D) 47
• Hint: In a decimal, the first digit after the decimal point is the tenths place. Try: in 5.62, the tenths digit is 6.
• Steps:
  • 3 is in the ones place.
  • 4 is in the tenths place.
  • 7 is in the hundredths place.
• Answer: 4

[Easy] Area of a Rectangle

• EN: A rectangle is 6 cm long and 4 cm wide. What is its area?
• FR: Un rectangle est long de 6 cm et large de 4 cm. Quelle est son aire?
• Choices: A) 20 cm² B) 24 cm² C) 28 cm² D) 30 cm²
• Hint: Area = length × width. Try: 5 cm × 3 cm = 15 cm².
• Steps:
  • Area = 6 × 4.
  • 6 × 4 = 24 cm².
• Answer: 24 cm²

[Easy] Elapsed Time

• EN: School starts at 8:30 a.m. and ends at 3:30 p.m. How long is the school day?
• FR: L'école commence à 8h30 et se termine à 15h30. Combien de temps dure la journée scolaire?
• Choices: A) 5 hours B) 6 hours C) 7 hours D) 8 hours
• Hint: Count the hours from start to end. Try: 9:00 a.m. to 2:00 p.m. = 5 hours.
• Steps:
  • From 8:30 a.m. to 3:30 p.m.
  • Count: 8:30 → 9:30 → 10:30 → 11:30 → 12:30 → 1:30 → 2:30 → 3:30 = 7 hours.
• Answer: 7 hours

[Medium] Long Division with Remainders

• EN: What is 47 ÷ 5?
• FR: Combien font 47 ÷ 5?
• Choices: A) 8 remainder 7 B) 9 remainder 2 C) 9 remainder 3 D) 10 remainder 3
• Hint: Find the biggest multiple of 5 that fits into 47, then subtract. Try: 38 ÷ 5 → 5×7=35, 38−35=3, so 7 remainder 3.
• Steps:
  • 5 × 9 = 45, which is the biggest multiple of 5 ≤ 47.
  • 47 − 45 = 2. Answer: 9 remainder 2.
• Answer: 9 remainder 2

[Medium] Comparing Fractions

• EN: Which fraction is greater: 3/4 or 2/3?
• FR: Quelle fraction est plus grande : 3/4 ou 2/3?
• Choices: A) 2/3 B) 3/4 C) They are equal D) Cannot be compared
• Hint: Find a common denominator. Try: 1/2 vs. 1/3 → 3/6 vs. 2/6 → 3/6 is greater.
• Steps:
  • Common denominator of 4 and 3 is 12.
  • 3/4 = 9/12; 2/3 = 8/12.
  • 9/12 > 8/12, so 3/4 is greater.
• Answer: 3/4

[Medium] Decimal Operations

• EN: What is 2.5 + 1.3?
• FR: Combien font 2,5 + 1,3?
• Choices: A) 3.5 B) 3.7 C) 3.8 D) 4.0
• Hint: Line up the decimal points and add as usual. Try: 1.4 + 2.2 = 3.6.
• Steps:
  • Ones: 2 + 1 = 3.
  • Tenths: 5 + 3 = 8.
  • Answer: 3.8
• Answer: 3.8

[Medium] Multi-Step Multiplication

• EN: A hockey team has 6 players on ice. If 9 teams are playing, how many players are on ice in total?
• FR: Une équipe de hockey a 6 joueurs sur la glace. S'il y a 9 équipes qui jouent, combien de joueurs sont sur la glace au total?
• Choices: A) 48 B) 54 C) 60 D) 63
• Hint: Multiply the number of players per team by the number of teams. Try: 5 players × 8 teams = 40 players.
• Steps:
  • 6 players × 9 teams = 54 players.
• Answer: 54

[Hard] Long Division

• EN: What is 138 ÷ 6?
• FR: Combien font 138 ÷ 6?
• Choices: A) 21 B) 22 C) 23 D) 24
• Hint: Use long division step by step. Try: 126 ÷ 6 → 6 goes into 12 twice (2), bring down 6, 6÷6=1, answer: 21.
• Steps:
  • 6 goes into 13 twice (12); remainder 1. Bring down 8 → 18.
  • 6 goes into 18 three times (18); remainder 0.
  • Answer: 23
• Answer: 23

[Hard] Elapsed Time — Complex

• EN: A Tim Hortons opened at 6:45 a.m. and closed at 11:15 p.m. How many hours and minutes was it open?
• FR: Un Tim Hortons a ouvert à 6h45 et fermé à 23h15. Combien d'heures et de minutes était-il ouvert?
• Choices: A) 15 hours 30 minutes B) 16 hours 30 minutes C) 16 hours 45 minutes D) 17 hours 30 minutes
• Hint: Count from start to end in steps. Try: 7:20 a.m. to 9:50 p.m. → from 7:20 to 7:20 p.m. = 12 hours, then + 2 h 30 min = 14 h 30 min.
• Steps:
  • From 6:45 a.m. to 6:45 p.m. = 12 hours.
  • From 6:45 p.m. to 11:15 p.m. = 4 hours 30 minutes.
  • Total: 16 hours 30 minutes.
• Answer: 16 hours 30 minutes

[Easy] Multi-Digit Multiplication

• EN: What is 24 × 3?
• FR: Combien font 24 × 3?
• Choices: A) 62 B) 68 C) 72 D) 76
• Hint: Multiply ones then tens. Try: 13 × 3 → 3×3=9, 1×3=3, answer: 39.
• Steps:
  • 3 × 4 = 12. Write 2, carry 1.
  • 3 × 2 = 6, plus 1 = 7. Answer: 72.
• Answer: 72

[Easy] Adding Fractions with Like Denominators

• EN: What is 2/5 + 1/5?
• FR: Combien font 2/5 + 1/5?
• Choices: A) 3/10 B) 2/10 C) 3/5 D) 1/5
• Hint: Keep the denominator, add the numerators. Try: 1/6 + 2/6 = 3/6.
• Steps:
  • Denominators are the same (5).
  • Add numerators: 2 + 1 = 3. Answer: 3/5.
• Answer: 3/5

[Easy] Decimal Addition

• EN: What is 3.4 + 2.5?
• FR: Combien font 3,4 + 2,5?
• Choices: A) 5.7 B) 5.9 C) 6.0 D) 6.1
• Hint: Line up decimals and add column by column. Try: 1.3 + 2.4 = 3.7.
• Steps:
  • Tenths: 4 + 5 = 9.
  • Ones: 3 + 2 = 5. Answer: 5.9.
• Answer: 5.9

[Easy] Percentage — 50%

• EN: What is 50% of 80?
• FR: Combien font 50% de 80?
• Choices: A) 20 B) 30 C) 40 D) 50
• Hint: 50% means half. Just divide by 2. Try: 50% of 60 = 60 ÷ 2 = 30.
• Steps:
  • 50% = 1/2.
  • 80 ÷ 2 = 40.
• Answer: 40

[Medium] Volume of a Rectangular Prism

• EN: A box is 4 cm long, 3 cm wide, and 5 cm tall. What is its volume?
• FR: Une boîte est longue de 4 cm, large de 3 cm et haute de 5 cm. Quel est son volume?
• Choices: A) 40 cm³ B) 50 cm³ C) 60 cm³ D) 70 cm³
• Hint: Volume = length × width × height. Try: 2 × 3 × 4 = 24 cm³.
• Steps:
  • Volume = 4 × 3 × 5.
  • 4 × 3 = 12; 12 × 5 = 60 cm³.
• Answer: 60 cm³

[Medium] Subtracting Fractions with Like Denominators

• EN: What is 7/8 − 3/8?
• FR: Combien font 7/8 − 3/8?
• Choices: A) 1/2 B) 3/8 C) 4/8 D) 5/8
• Hint: Keep the denominator, subtract the numerators. Try: 5/6 − 2/6 = 3/6.
• Steps:
  • Denominators are the same (8).
  • Subtract numerators: 7 − 3 = 4. Answer: 4/8.
• Answer: 4/8

[Medium] Percentage — 25%

• EN: What is 25% of 60?
• FR: Combien font 25% de 60?
• Choices: A) 12 B) 15 C) 18 D) 20
• Hint: 25% = 1/4. Divide by 4. Try: 25% of 80 = 80 ÷ 4 = 20.
• Steps:
  • 25% = 1/4.
  • 60 ÷ 4 = 15.
• Answer: 15

[Medium] Multi-Digit Division

• EN: What is 168 ÷ 8?
• FR: Combien font 168 ÷ 8?
• Choices: A) 19 B) 20 C) 21 D) 22
• Hint: Use long division. Try: 144 ÷ 8 → 8 into 14 once (8), remainder 6; bring down 4 → 64 ÷ 8 = 8; answer: 18.
• Steps:
  • 8 goes into 16 twice (16); remainder 0. Bring down 8.
  • 8 goes into 8 once. Answer: 21.
• Answer: 21

[Hard] Percentage — 10%

• EN: A pair of hockey skates costs $120. They are on sale for 10% off. What is the sale price?
• FR: Une paire de patins de hockey coûte 120 $. Elle est en solde à 10% de rabais. Quel est le prix de vente?
• Choices: A) $100 B) $104 C) $108 D) $110
• Hint: 10% of a number = divide by 10. Then subtract from the original. Try: 10% of $80 = $8, so sale price = $80 − $8 = $72.
• Steps:
  • 10% of $120 = $120 ÷ 10 = $12.
  • $120 − $12 = $108.
• Answer: $108

[Hard] Multi-Step Fraction Problem

• EN: Aiden ate 2/6 of a pie and his sister ate 3/6. What fraction of the pie is left?
• FR: Aiden a mangé 2/6 d'une tarte et sa sœur en a mangé 3/6. Quelle fraction de la tarte reste-t-il?
• Choices: A) 1/6 B) 2/6 C) 3/6 D) 5/6
• Hint: Add what was eaten, then subtract from 1 (the whole). Try: 1/4 + 2/4 = 3/4 eaten, so 1/4 left.
• Steps:
  • Total eaten: 2/6 + 3/6 = 5/6.
  • Left: 6/6 − 5/6 = 1/6.
• Answer: 1/6

[Easy] Percent of a Number

• EN: What is 30% of 200?
• FR: Combien font 30% de 200?
• Choices: A) 40 B) 50 C) 60 D) 70
• Hint: Find 10% first, then multiply. Try: 30% of 100 → 10% of 100 = 10, then 10 × 3 = 30.
• Steps:
  • 10% of 200 = 20.
  • 30% = 20 × 3 = 60.
• Answer: 60

[Easy] Order of Operations (BEDMAS)

• EN: What is 3 + 4 × 2?
• FR: Combien font 3 + 4 × 2?
• Choices: A) 11 B) 14 C) 10 D) 8
• Hint: In BEDMAS, do multiplication before addition. Try: 5 + 2 × 3 → multiply first: 2 × 3 = 6, then 5 + 6 = 11.
• Steps:
  • Multiply first: 4 × 2 = 8.
  • Then add: 3 + 8 = 11.
• Answer: 11

[Easy] Fraction Multiplication

• EN: What is 1/2 × 1/3?
• FR: Combien font 1/2 × 1/3?
• Choices: A) 1/5 B) 1/6 C) 2/3 D) 1/3
• Hint: Multiply numerators together and denominators together. Try: 1/3 × 1/4 = 1/12.
• Steps:
  • Numerators: 1 × 1 = 1.
  • Denominators: 2 × 3 = 6. Answer: 1/6.
• Answer: 1/6

[Easy] Introducing Integers

• EN: The temperature in Winnipeg is −8°C in the morning and rises 5°C by noon. What is the noon temperature?
• FR: La température à Winnipeg est de −8°C le matin et monte de 5°C avant midi. Quelle est la température à midi?
• Choices: A) −3°C B) 3°C C) −13°C D) 13°C
• Hint: Rising means adding. Start at the negative number and add. Try: −10 + 4 = −6.
• Steps:
  • −8 + 5 = −3°C.
• Answer: −3°C

[Medium] Ratio and Rate

• EN: A car travels 120 km in 2 hours. What is its speed in km per hour?
• FR: Une voiture parcourt 120 km en 2 heures. Quelle est sa vitesse en km par heure?
• Choices: A) 50 km/h B) 55 km/h C) 60 km/h D) 65 km/h
• Hint: Speed = distance ÷ time. Try: 90 km in 3 hours → 90 ÷ 3 = 30 km/h.
• Steps:
  • Speed = 120 ÷ 2 = 60 km/h.
• Answer: 60 km/h

[Medium] Simple Algebraic Expression

• EN: If n = 5, what is the value of 3n + 4?
• FR: Si n = 5, quelle est la valeur de 3n + 4?
• Choices: A) 17 B) 19 C) 20 D) 22
• Hint: Replace the variable with the number and calculate. Try: if n = 3, then 3n + 4 = 3(3) + 4 = 13.
• Steps:
  • 3n = 3 × 5 = 15.
  • 15 + 4 = 19.
• Answer: 19

[Medium] Fraction Division

• EN: What is 3/4 ÷ 1/2?
• FR: Combien font 3/4 ÷ 1/2?
• Choices: A) 3/8 B) 1/2 C) 3/2 D) 2
• Hint: Dividing by a fraction means multiplying by its reciprocal. Try: 2/3 ÷ 1/4 = 2/3 × 4/1 = 8/3.
• Steps:
  • Flip the second fraction: 1/2 → 2/1.
  • 3/4 × 2/1 = 6/4 = 3/2.
• Answer: 3/2

[Medium] Percent Problem

• EN: A shirt costs $40. There is a 15% tax. How much tax is added?
• FR: Une chemise coûte 40 $. Il y a une taxe de 15%. Combien de taxe est ajoutée?
• Choices: A) $4.00 B) $5.00 C) $6.00 D) $7.00
• Hint: Find 10% then 5% and add them. Try: 15% of $60 → 10% = $6, 5% = $3, total = $9.
• Steps:
  • 10% of $40 = $4.
  • 5% of $40 = $2.
  • 15% = $4 + $2 = $6.00.
• Answer: $6.00

[Hard] BEDMAS with Brackets

• EN: What is (5 + 3) × 2 − 4 ÷ 2?
• FR: Combien font (5 + 3) × 2 − 4 ÷ 2?
• Choices: A) 12 B) 14 C) 16 D) 18
• Hint: BEDMAS: Brackets first, then multiply/divide left to right, then add/subtract. Try: (2+4) × 3 − 6 ÷ 2 = 6×3−3 = 18−3=15.
• Steps:
  • Brackets: (5 + 3) = 8.
  • Multiply: 8 × 2 = 16.
  • Divide: 4 ÷ 2 = 2.
  • Subtract: 16 − 2 = 14.
• Answer: 14

[Hard] Ratios in Context

• EN: A recipe uses 3 cups of flour for every 2 cups of sugar. If you use 9 cups of flour, how many cups of sugar do you need?
• FR: Une recette utilise 3 tasses de farine pour 2 tasses de sucre. Si tu utilises 9 tasses de farine, combien de tasses de sucre te faut-il?
• Choices: A) 4 B) 5 C) 6 D) 7
• Hint: Set up the ratio and find the multiplier. Try: 2 cups to 3 cups. If flour becomes 6 (×2), sugar = 4 (×2).
• Steps:
  • 9 ÷ 3 = 3 (the multiplier is 3).
  • 2 × 3 = 6 cups of sugar.
• Answer: 6

[Easy] Integer Addition

• EN: What is −7 + 12?
• FR: Combien font −7 + 12?
• Choices: A) −5 B) 5 C) 19 D) −19
• Hint: On a number line, start at the negative number and count right. Try: −4 + 9 = 5.
• Steps:
  • Start at −7 and add 12.
  • −7 + 12 = 5.
• Answer: 5

[Easy] Percentage — Discount

• EN: A video game costs $50. It is 20% off. What is the discount amount?
• FR: Un jeu vidéo coûte 50 $. Il est à 20% de rabais. Quel est le montant du rabais?
• Choices: A) $5 B) $8 C) $10 D) $12
• Hint: Find the percent of the original price. Try: 20% of $40 = $8.
• Steps:
  • 20% of $50 = 0.20 × 50 = $10.
• Answer: $10

[Easy] One-Step Equation

• EN: Solve: x + 9 = 15
• FR: Résous : x + 9 = 15
• Choices: A) x = 4 B) x = 5 C) x = 6 D) x = 7
• Hint: Subtract the number being added from both sides. Try: x + 4 = 10 → x = 10 − 4 = 6.
• Steps:
  • x + 9 = 15.
  • x = 15 − 9 = 6.
• Answer: x = 6

[Easy] Integer Subtraction

• EN: What is 3 − 8?
• FR: Combien font 3 − 8?
• Choices: A) −5 B) 5 C) −11 D) 11
• Hint: When you subtract a bigger number from a smaller one, the answer is negative. Try: 2 − 6 = −4.
• Steps:
  • 3 − 8 = −5.
• Answer: −5

[Medium] Probability

• EN: A bag has 4 red marbles and 6 blue marbles. What is the probability of picking a red marble?
• FR: Un sac contient 4 billes rouges et 6 billes bleues. Quelle est la probabilité de piger une bille rouge?
• Choices: A) 2/5 B) 4/10 C) 3/5 D) 1/4
• Hint: Probability = favourable outcomes ÷ total outcomes. Try: 3 red, 5 blue → P(red) = 3/8.
• Steps:
  • Total marbles = 4 + 6 = 10.
  • P(red) = 4/10 = 2/5.
• Answer: 2/5

[Medium] Surface Area

• EN: A rectangular box is 5 cm × 3 cm × 2 cm. What is its surface area?
• FR: Une boîte rectangulaire mesure 5 cm × 3 cm × 2 cm. Quelle est son aire totale?
• Choices: A) 58 cm² B) 60 cm² C) 62 cm² D) 64 cm²
• Hint: SA = 2(lw + lh + wh). Try: a box 4×2×1 → 2(8+4+2) = 2(14) = 28 cm².
• Steps:
  • SA = 2(5×3 + 5×2 + 3×2).
  • = 2(15 + 10 + 6) = 2(31) = 62 cm².
• Answer: 62 cm²

[Medium] Fraction and Decimal Fluency

• EN: Convert 3/8 to a decimal.
• FR: Convertis 3/8 en décimal.
• Choices: A) 0.25 B) 0.35 C) 0.375 D) 0.38
• Hint: Divide the numerator by the denominator. Try: 1/4 = 1 ÷ 4 = 0.25.
• Steps:
  • 3 ÷ 8 = 0.375.
• Answer: 0.375

[Medium] Percentage — Tax

• EN: At a store in Ontario, the HST is 13%. If a book costs $20, what is the total price including tax?
• FR: En Ontario, la TVH est de 13%. Si un livre coûte 20 $, quel est le prix total avec la taxe?
• Choices: A) $22.00 B) $22.60 C) $23.00 D) $22.40
• Hint: Find the tax amount and add to the original. Try: 13% of $10 = $1.30, total = $11.30.
• Steps:
  • Tax = 13% of $20 = 0.13 × 20 = $2.60.
  • Total = $20 + $2.60 = $22.60.
• Answer: $22.60

[Hard] Integer Operations — Multi-Step

• EN: What is (−3) × (−4) + (−2) × 5?
• FR: Combien font (−3) × (−4) + (−2) × 5?
• Choices: A) −2 B) 2 C) −10 D) 10
• Hint: Negative × negative = positive; negative × positive = negative. Try: (−2)(−5) + (−3)(4) = 10 − 12 = −2.
• Steps:
  • (−3) × (−4) = 12.
  • (−2) × 5 = −10.
  • 12 + (−10) = 2.
• Answer: 2

[Hard] Surface Area — Cylinder Problem

• EN: A one-step equation: 4x − 7 = 21. What is x?
• FR: Une équation : 4x − 7 = 21. Quelle est la valeur de x?
• Choices: A) x = 5 B) x = 6 C) x = 7 D) x = 8
• Hint: Add 7 to both sides first, then divide. Try: 3x − 4 = 11 → 3x = 15 → x = 5.
• Steps:
  • 4x − 7 = 21 → 4x = 28.
  • x = 28 ÷ 4 = 7.
• Answer: x = 7

[Easy] Perfect Squares

• EN: What is √49?
• FR: Combien vaut √49?
• Choices: A) 6 B) 7 C) 8 D) 9
• Hint: Think: what number times itself equals 49? Try: √36 → 6 × 6 = 36, so √36 = 6.
• Steps:
  • 7 × 7 = 49.
  • √49 = 7.
• Answer: 7

[Easy] Mean

• EN: The scores on a math quiz are: 6, 8, 10, 4. What is the mean (average)?
• FR: Les résultats d'un quiz de maths sont : 6, 8, 10, 4. Quelle est la moyenne?
• Choices: A) 6 B) 7 C) 8 D) 9
• Hint: Mean = sum ÷ number of values. Try: scores 5, 7, 9 → sum = 21, 21 ÷ 3 = 7.
• Steps:
  • Sum: 6 + 8 + 10 + 4 = 28.
  • Mean: 28 ÷ 4 = 7.
• Answer: 7

[Easy] Two-Step Linear Equation

• EN: Solve: 2x + 5 = 11
• FR: Résous : 2x + 5 = 11
• Choices: A) x = 2 B) x = 3 C) x = 4 D) x = 5
• Hint: First subtract the constant, then divide. Try: 3x + 2 = 11 → 3x = 9 → x = 3.
• Steps:
  • 2x + 5 = 11 → 2x = 6.
  • x = 6 ÷ 2 = 3.
• Answer: x = 3

[Easy] Percent Increase

• EN: A jacket was $80 and its price increased by 25%. What is the new price?
• FR: Une veste coûtait 80 $ et son prix a augmenté de 25%. Quel est le nouveau prix?
• Choices: A) $95 B) $100 C) $105 D) $110
• Hint: Find the increase and add to original. Try: 10% of $60 = $6, 20% = $12, new price = $72.
• Steps:
  • 25% of $80 = $20.
  • $80 + $20 = $100.
• Answer: $100

[Medium] Pythagorean Theorem

• EN: A right triangle has legs of 3 cm and 4 cm. What is the length of the hypotenuse?
• FR: Un triangle rectangle a des côtés de 3 cm et 4 cm. Quelle est la longueur de l'hypoténuse?
• Choices: A) 4 cm B) 5 cm C) 6 cm D) 7 cm
• Hint: Use a² + b² = c². Try: legs 5 and 12 → 25 + 144 = 169, √169 = 13.
• Steps:
  • 3² + 4² = 9 + 16 = 25.
  • √25 = 5 cm.
• Answer: 5 cm

[Medium] Slope Introduction

• EN: A line passes through (0, 2) and (3, 8). What is its slope?
• FR: Une droite passe par (0, 2) et (3, 8). Quelle est sa pente?
• Choices: A) 1 B) 2 C) 3 D) 4
• Hint: Slope = rise ÷ run = (y₂ − y₁) ÷ (x₂ − x₁). Try: (0,1) to (2,5) → (5−1)÷(2−0) = 4÷2 = 2.
• Steps:
  • Rise = 8 − 2 = 6. Run = 3 − 0 = 3.
  • Slope = 6 ÷ 3 = 2.
• Answer: 2

[Medium] Median and Mode

• EN: Find the median of: 3, 7, 5, 9, 1.
• FR: Trouve la médiane de : 3, 7, 5, 9, 1.
• Choices: A) 3 B) 5 C) 7 D) 9
• Hint: Order the values from least to greatest, then find the middle value. Try: 2, 4, 6, 8, 10 → middle is 6.
• Steps:
  • Ordered: 1, 3, 5, 7, 9.
  • Middle value (3rd of 5) = 5.
• Answer: 5

[Medium] Percent Decrease

• EN: A snowboard originally costs $200. It is now 30% off. What is the sale price?
• FR: Une planche à neige coûtait 200 $. Elle est maintenant à 30% de rabais. Quel est le prix de vente?
• Choices: A) $130 B) $140 C) $150 D) $160
• Hint: Find the discount, then subtract from original. Try: 20% of $100 = $20, sale price = $80.
• Steps:
  • 30% of $200 = $60.
  • $200 − $60 = $140.
• Answer: $140

[Hard] Pythagorean Theorem — Missing Leg

• EN: A right triangle has a hypotenuse of 13 cm and one leg of 5 cm. What is the other leg?
• FR: Un triangle rectangle a une hypoténuse de 13 cm et un côté de 5 cm. Quel est l'autre côté?
• Choices: A) 10 cm B) 11 cm C) 12 cm D) 14 cm
• Hint: a² + b² = c², so b² = c² − a². Try: hypotenuse 10, leg 6 → 100 − 36 = 64, √64 = 8.
• Steps:
  • 13² − 5² = 169 − 25 = 144.
  • √144 = 12 cm.
• Answer: 12 cm

[Hard] Two-Step Equation — Word Problem

• EN: Maya earns $12 per hour babysitting. She also received a $5 tip. She earned $41 in total. How many hours did she babysit?
• FR: Maya gagne 12 $ par heure de garde d'enfants. Elle a aussi reçu un pourboire de 5 $. Elle a gagné 41 $ en tout. Combien d'heures a-t-elle gardé?
• Choices: A) 2 hours B) 3 hours C) 4 hours D) 5 hours
• Hint: Set up an equation: 12h + 5 = 41. Solve for h. Try: 10h + 3 = 33 → 10h = 30 → h = 3.
• Steps:
  • 12h + 5 = 41 → 12h = 36.
  • h = 36 ÷ 12 = 3.
• Answer: 3 hours

[Easy] Solving a Linear Equation

• EN: Solve: 3x − 4 = 11
• FR: Résous : 3x − 4 = 11
• Choices: A) x = 4 B) x = 5 C) x = 6 D) x = 7
• Hint: Add 4 to both sides, then divide by 3. Try: 2x − 3 = 7 → 2x = 10 → x = 5.
• Steps:
  • 3x − 4 = 11 → 3x = 15.
  • x = 15 ÷ 3 = 5.
• Answer: x = 5

[Easy] Slope of a Line

• EN: A line has slope 2 and passes through (0, 3). What is its equation?
• FR: Une droite a une pente de 2 et passe par (0, 3). Quelle est son équation?
• Choices: A) y = 2x B) y = 3x + 2 C) y = 2x + 3 D) y = 2x − 3
• Hint: Slope-intercept form is y = mx + b, where m is slope and b is y-intercept. Try: slope 4, y-intercept 1 → y = 4x + 1.
• Steps:
  • m = 2, b = 3.
  • Equation: y = 2x + 3.
• Answer: y = 2x + 3

[Easy] Adding Polynomials

• EN: What is (3x + 5) + (2x − 1)?
• FR: Combien font (3x + 5) + (2x − 1)?
• Choices: A) 5x + 4 B) 5x − 4 C) 5x + 6 D) 6x + 4
• Hint: Combine like terms (x-terms together, constants together). Try: (4x + 3) + (x − 2) = 5x + 1.
• Steps:
  • x-terms: 3x + 2x = 5x.
  • Constants: 5 + (−1) = 4.
  • Answer: 5x + 4
• Answer: 5x + 4

[Easy] SOH-CAH-TOA

• EN: In a right triangle, the opposite side is 3 and the hypotenuse is 5. What is sin(θ)?
• FR: Dans un triangle rectangle, le côté opposé est 3 et l'hypoténuse est 5. Combien vaut sin(θ)?
• Choices: A) 3/4 B) 4/5 C) 3/5 D) 5/3
• Hint: SOH means sin = Opposite ÷ Hypotenuse. Try: opposite = 4, hypotenuse = 10 → sin = 4/10 = 0.4.
• Steps:
  • sin(θ) = opposite ÷ hypotenuse.
  • sin(θ) = 3/5.
• Answer: 3/5

[Medium] Linear Inequality

• EN: Solve: 2x + 1 > 9
• FR: Résous : 2x + 1 > 9
• Choices: A) x > 3 B) x > 4 C) x < 4 D) x > 5
• Hint: Solve like an equation, keeping the inequality sign. Try: 3x + 2 > 11 → 3x > 9 → x > 3.
• Steps:
  • 2x + 1 > 9 → 2x > 8.
  • x > 8 ÷ 2 = 4.
• Answer: x > 4

[Medium] Multiplying Polynomials

• EN: What is 3x(2x − 4)?
• FR: Combien font 3x(2x − 4)?
• Choices: A) 6x² − 12x B) 6x² − 4x C) 5x² − 12x D) 6x − 12x
• Hint: Distribute (multiply each term inside the bracket). Try: 2x(3x + 1) = 6x² + 2x.
• Steps:
  • 3x × 2x = 6x².
  • 3x × (−4) = −12x.
  • Answer: 6x² − 12x
• Answer: 6x² − 12x

[Medium] Similar Triangles

• EN: Two triangles are similar. The sides of the smaller triangle are 3, 4, and 5. If the longest side of the larger triangle is 15, what is its shortest side?
• FR: Deux triangles sont semblables. Les côtés du plus petit triangle sont 3, 4 et 5. Si le côté le plus long du grand triangle est 15, quel est son côté le plus court?
• Choices: A) 6 B) 7 C) 8 D) 9
• Hint: Find the scale factor by dividing the corresponding sides. Try: sides 2, 3, 4 scaled to longest = 12 → factor = 3, shortest = 2 × 3 = 6.
• Steps:
  • Scale factor = 15 ÷ 5 = 3.
  • Shortest side = 3 × 3 = 9.
• Answer: 9

[Medium] Statistics — Mean from a Data Set

• EN: Five students scored: 70, 85, 90, 60, 95 on a test. What is the mean score?
• FR: Cinq élèves ont obtenu les résultats suivants : 70, 85, 90, 60, 95. Quel est le résultat moyen?
• Choices: A) 78 B) 80 C) 82 D) 85
• Hint: Add all scores and divide by the number of scores. Try: 60 + 70 + 80 + 90 = 300, 300 ÷ 4 = 75.
• Steps:
  • Sum: 70 + 85 + 90 + 60 + 95 = 400.
  • Mean: 400 ÷ 5 = 80.
• Answer: 80

[Hard] Systems of Equations Intro

• EN: If y = 2x + 1 and y = x + 4, what is the value of x?
• FR: Si y = 2x + 1 et y = x + 4, quelle est la valeur de x?
• Choices: A) x = 2 B) x = 3 C) x = 4 D) x = 5
• Hint: Set the two expressions equal to each other and solve. Try: 3x + 2 = x + 8 → 2x = 6 → x = 3.
• Steps:
  • 2x + 1 = x + 4.
  • x = 3.
• Answer: x = 3

[Hard] Trigonometry — Finding a Side

• EN: In a right triangle, angle θ = 30°, and the hypotenuse = 10 cm. What is the length of the side opposite to θ? (sin 30° = 0.5)
• FR: Dans un triangle rectangle, l'angle θ = 30° et l'hypoténuse = 10 cm. Quelle est la longueur du côté opposé à θ? (sin 30° = 0,5)
• Choices: A) 4 cm B) 5 cm C) 6 cm D) 8 cm
• Hint: sin θ = opposite ÷ hypotenuse, so opposite = hypotenuse × sin θ. Try: hypotenuse = 8, sin 30° = 0.5 → opposite = 8 × 0.5 = 4.
• Steps:
  • opposite = hypotenuse × sin θ.
  • opposite = 10 × 0.5 = 5 cm.
• Answer: 5 cm

[Easy] Factoring a Simple Quadratic

• EN: Factor: x² + 5x + 6
• FR: Factorise : x² + 5x + 6
• Choices: A) (x + 1)(x + 6) B) (x + 2)(x + 3) C) (x + 2)(x + 4) D) (x + 3)(x + 3)
• Hint: Find two numbers that multiply to 6 and add to 5. Try: x² + 7x + 12 → factors of 12 that add to 7: 3 and 4 → (x+3)(x+4).
• Steps:
  • Find two numbers: 2 × 3 = 6 and 2 + 3 = 5. ✓
  • Factored form: (x + 2)(x + 3).
• Answer: (x + 2)(x + 3)

[Easy] Trigonometry — Cosine

• EN: In a right triangle, the adjacent side is 4 and the hypotenuse is 5. What is cos(θ)?
• FR: Dans un triangle rectangle, le côté adjacent est 4 et l'hypoténuse est 5. Combien vaut cos(θ)?
• Choices: A) 3/5 B) 4/5 C) 3/4 D) 5/4
• Hint: CAH means cos = Adjacent ÷ Hypotenuse. Try: adjacent = 6, hypotenuse = 10 → cos = 6/10 = 3/5.
• Steps:
  • cos(θ) = adjacent ÷ hypotenuse.
  • cos(θ) = 4/5.
• Answer: 4/5

[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. Try: x+y=8 and x−y=2 → add: 2x=10, x=5.
• Steps:
  • Add: (x+y) + (x−y) = 10 + 4 → 2x = 14.
  • x = 7.
• Answer: x = 7

[Easy] Volume of a Cylinder

• EN: A cylinder has radius 3 cm and height 10 cm. What is its volume? (Use π ≈ 3.14)
• FR: Un cylindre a un rayon de 3 cm et une hauteur de 10 cm. Quel est son volume? (Utilisez π ≈ 3,14)
• Choices: A) 251.2 cm³ B) 282.6 cm³ C) 300.0 cm³ D) 314.0 cm³
• Hint: V = π × r² × h. Try: r = 2, h = 5 → V = 3.14 × 4 × 5 = 62.8 cm³.
• Steps:
  • V = π × 3² × 10 = 3.14 × 9 × 10.
  • V = 3.14 × 90 = 282.6 cm³.
• Answer: 282.6 cm³

[Medium] Completing the Square

• EN: Solve x² + 4x − 12 = 0 by factoring.
• FR: Résous x² + 4x − 12 = 0 par factorisation.
• Choices: A) x = 2 or x = −6 B) x = −2 or x = 6 C) x = 3 or x = −4 D) x = −3 or x = 4
• Hint: Find two numbers that multiply to −12 and add to +4. Try: x² + 3x − 10 → factors: 5 and −2 → (x+5)(x−2)=0.
• Steps:
  • Find numbers: 6 × (−2) = −12, 6 + (−2) = 4. ✓
  • (x + 6)(x − 2) = 0 → x = −6 or x = 2.
• Answer: x = 2 or x = −6

[Medium] Circle Geometry

• EN: The diameter of a circle is 14 cm. What is its circumference? (Use π ≈ 3.14)
• FR: Le diamètre d'un cercle est de 14 cm. Quelle est sa circonférence? (Utilisez π ≈ 3,14)
• Choices: A) 42.96 cm B) 43.96 cm C) 44.96 cm D) 43.00 cm
• Hint: Circumference = π × d. Try: d = 10 → C = 3.14 × 10 = 31.4 cm.
• Steps:
  • C = π × d = 3.14 × 14.
  • C = 43.96 cm.
• Answer: 43.96 cm

[Medium] Trigonometry — Finding an Angle

• EN: In a right triangle, tan(θ) = 1. What is the angle θ?
• FR: Dans un triangle rectangle, tan(θ) = 1. Quel est l'angle θ?
• Choices: A) 30° B) 45° C) 60° D) 90°
• Hint: Recall special angles: tan(30°) = 1/√3, tan(45°) = 1, tan(60°) = √3.
• Steps:
  • tan(45°) = 1.
  • Therefore, θ = 45°.
• Answer: 45°

[Medium] Surface Area of a Cone

• EN: A cone has radius 3 cm and slant height 5 cm. What is its total surface area? (Use π ≈ 3.14)
• FR: Un cône a un rayon de 3 cm et une hauteur oblique de 5 cm. Quelle est son aire totale? (Utilisez π ≈ 3,14)
• Choices: A) 70.65 cm² B) 75.36 cm² C) 78.50 cm² D) 80.00 cm²
• Hint: SA = π r² + π r l. Try: r = 2, l = 4 → SA = 3.14(4) + 3.14(2)(4) = 12.56 + 25.12 = 37.68 cm².
• Steps:
  • Base: π × 3² = 3.14 × 9 = 28.26 cm².
  • Lateral: π × 3 × 5 = 3.14 × 15 = 47.10 cm².
  • Total: 28.26 + 47.10 = 75.36 cm².
• Answer: 75.36 cm²

[Hard] Quadratic Formula

• EN: Solve x² − 5x + 4 = 0. What are the roots?
• FR: Résous x² − 5x + 4 = 0. Quelles sont les racines?
• Choices: A) x = 1 or x = 4 B) x = 2 or x = 3 C) x = −1 or x = −4 D) x = 1 or x = 5
• Hint: Factor or use quadratic formula. Try: x² − 6x + 8 = 0 → (x−2)(x−4) = 0 → x=2 or x=4.
• Steps:
  • Factor: (x − 1)(x − 4) = 0.
  • x = 1 or x = 4.
• Answer: x = 1 or x = 4

[Hard] Systems and Quadratics

• EN: A quadratic y = x² − 4 and a line y = 0 intersect. What are the x-values at the intersection?
• FR: Une parabole y = x² − 4 et la droite y = 0 se croisent. Quelles sont les valeurs de x à l'intersection?
• Choices: A) x = 2 or x = −2 B) x = 4 or x = −4 C) x = 1 or x = −4 D) x = 0 or x = 4
• Hint: Set the quadratic equal to 0 and solve. Try: x² − 9 = 0 → x² = 9 → x = ±3.
• Steps:
  • x² − 4 = 0 → x² = 4.
  • x = ±2.
• Answer: x = 2 or x = −2

[Easy] Exponential Function

• EN: An investment doubles every year. If you start with $100, how much do you have after 3 years?
• FR: Un investissement double chaque année. Si tu commences avec 100 $, combien as-tu après 3 ans?
• Choices: A) $600 B) $700 C) $800 D) $900
• Hint: Double means multiply by 2 each year. Try: $50 after 2 years → 50×2=100, 100×2=200.
• Steps:
  • Year 1: 100 × 2 = 200.
  • Year 2: 200 × 2 = 400.
  • Year 3: 400 × 2 = $800.
• Answer: $800

[Easy] Arithmetic Sequence

• EN: Find the next term in the sequence: 5, 8, 11, 14, ___
• FR: Trouve le prochain terme dans la suite : 5, 8, 11, 14, ___
• Choices: A) 16 B) 17 C) 18 D) 19
• Hint: Find the common difference and add it. Try: 3, 7, 11, 15 → add 4 each time → next: 19.
• Steps:
  • Common difference = 8 − 5 = 3.
  • Next term: 14 + 3 = 17.
• Answer: 17

[Easy] Logarithm Introduction

• EN: What is log₂(8)?
• FR: Combien vaut log₂(8)?
• Choices: A) 2 B) 3 C) 4 D) 8
• Hint: logₐ(b) = c means aᶜ = b. Try: log₂(4) → 2² = 4, so log₂(4) = 2.
• Steps:
  • 2³ = 8.
  • Therefore log₂(8) = 3.
• Answer: 3

[Easy] Compound Interest

• EN: You invest $1000 at 5% annual interest compounded annually. What is the amount after 1 year?
• FR: Tu investis 1000 $ à un taux d'intérêt annuel de 5% composé annuellement. Quel est le montant après 1 an?
• Choices: A) $1005 B) $1050 C) $1100 D) $1500
• Hint: A = P(1 + r)ⁿ. For 1 year: A = P × (1 + r). Try: $500 at 4% → $500 × 1.04 = $520.
• Steps:
  • A = 1000 × (1 + 0.05)¹.
  • A = 1000 × 1.05 = $1050.
• Answer: $1050

[Medium] Quadratic Function — Vertex

• EN: What is the vertex of y = x² − 4x + 3?
• FR: Quel est le sommet de y = x² − 4x + 3?
• Choices: A) (2, −1) B) (−2, 1) C) (2, 1) D) (4, 3)
• Hint: Vertex x-coordinate = −b/(2a). Try: y = x² − 6x + 5 → x = 6/2 = 3, y = 9 − 18 + 5 = −4, vertex (3, −4).
• Steps:
  • x = −(−4)/(2×1) = 4/2 = 2.
  • y = 4 − 8 + 3 = −1.
  • Vertex: (2, −1).
• Answer: (2, −1)

[Medium] Geometric Sequence

• EN: What is the sum of the first 4 terms of the geometric sequence 2, 6, 18, 54?
• FR: Quelle est la somme des 4 premiers termes de la suite géométrique 2, 6, 18, 54?
• Choices: A) 70 B) 76 C) 80 D) 82
• Hint: Just add the given terms. Try: 1 + 3 + 9 + 27 = 40.
• Steps:
  • 2 + 6 + 18 + 54 = 80.
• Answer: 80

[Medium] Trigonometric Identity

• EN: Simplify: sin²(θ) + cos²(θ)
• FR: Simplifie : sin²(θ) + cos²(θ)
• Choices: A) 0 B) 1 C) 2 D) sin(θ)
• Hint: This is the most fundamental Pythagorean identity — it always equals the same constant.
• Steps:
  • The Pythagorean identity states: sin²(θ) + cos²(θ) = 1.
• Answer: 1

[Medium] Annuity — Financial Math

• EN: You deposit $200 at the end of each year for 3 years at 0% interest. How much have you saved in total?
• FR: Tu déposes 200 $ à la fin de chaque année pendant 3 ans à un taux d'intérêt de 0%. Combien as-tu économisé au total?
• Choices: A) $400 B) $500 C) $600 D) $700
• Hint: With 0% interest, simply multiply the payment by the number of periods. Try: $100 × 4 years = $400.
• Steps:
  • $200 × 3 = $600.
• Answer: $600

[Hard] Logarithm Equation

• EN: Solve for x: log₃(x) = 4
• FR: Résous pour x : log₃(x) = 4
• Choices: A) x = 12 B) x = 27 C) x = 64 D) x = 81
• Hint: If logₐ(x) = c, then x = aᶜ. Try: log₂(x) = 5 → x = 2⁵ = 32.
• Steps:
  • log₃(x) = 4 means 3⁴ = x.
  • x = 81.
• Answer: x = 81

[Hard] Compound Interest — Multi-Year

• EN: You invest $2000 at 6% compounded annually for 2 years. What is the total amount? (Round to the nearest cent.)
• FR: Tu investis 2000 $ à 6% composé annuellement pendant 2 ans. Quel est le montant total? (Arrondis au cent près.)
• Choices: A) $2240.00 B) $2247.20 C) $2250.00 D) $2260.00
• Hint: A = P(1 + r)ⁿ. Try: $1000 at 5% for 2 years → 1000 × 1.05² = 1000 × 1.1025 = $1102.50.
• Steps:
  • A = 2000 × (1.06)².
  • (1.06)² = 1.1236.
  • A = 2000 × 1.1236 = $2247.20.
• Answer: $2247.20

[Easy] Permutations

• EN: In how many ways can 4 students line up in a row?
• FR: De combien de façons 4 élèves peuvent-ils se mettre en rang?
• Choices: A) 12 B) 16 C) 24 D) 32
• Hint: Number of ways = n! (n factorial). Try: 3 students → 3! = 3 × 2 × 1 = 6.
• Steps:
  • 4! = 4 × 3 × 2 × 1 = 24.
• Answer: 24

[Easy] Combination

• EN: How many ways can you choose 2 students from a group of 5?
• FR: De combien de façons peut-on choisir 2 élèves parmi un groupe de 5?
• Choices: A) 8 B) 10 C) 12 D) 20
• Hint: Use C(n,r) = n! ÷ (r! × (n−r)!). Try: C(4,2) = 4!/(2!×2!) = 24/4 = 6.
• Steps:
  • C(5,2) = 5! ÷ (2! × 3!) = (5×4) ÷ (2×1) = 20 ÷ 2 = 10.
• Answer: 10

[Easy] Derivative — Power Rule

• EN: What is the derivative of f(x) = x²?
• FR: Quelle est la dérivée de f(x) = x²?
• Choices: A) f'(x) = x B) f'(x) = 2x C) f'(x) = 2 D) f'(x) = x²
• Hint: Power rule: if f(x) = xⁿ, then f'(x) = n·xⁿ⁻¹. Try: f(x) = x³ → f'(x) = 3x².
• Steps:
  • f(x) = x², n = 2.
  • f'(x) = 2 × x^(2−1) = 2x.
• Answer: f'(x) = 2x

[Easy] Polynomial — End Behaviour

• EN: For the polynomial f(x) = −x³ + 2x, as x → +∞, what happens to f(x)?
• FR: Pour le polynôme f(x) = −x³ + 2x, lorsque x → +∞, que se passe-t-il avec f(x)?
• Choices: A) f(x) → +∞ B) f(x) → −∞ C) f(x) → 0 D) f(x) → 2
• Hint: The leading term controls end behaviour. A negative leading coefficient with odd degree goes to −∞ as x → +∞. Try: −x⁵ → as x → +∞, f → −∞.
• Steps:
  • Leading term: −x³ (negative, odd degree).
  • As x → +∞, −x³ → −∞.
• Answer: f(x) → −∞

[Medium] Derivative — Rate of Change

• EN: If f(x) = 3x² − 2x + 1, what is f'(x)?
• FR: Si f(x) = 3x² − 2x + 1, quelle est f'(x)?
• Choices: A) f'(x) = 6x − 2 B) f'(x) = 3x − 2 C) f'(x) = 6x + 1 D) f'(x) = 6x − 1
• Hint: Differentiate term by term using the power rule. Try: f(x) = 4x² + 3x → f'(x) = 8x + 3.
• Steps:
  • d/dx (3x²) = 6x.
  • d/dx (−2x) = −2.
  • d/dx (1) = 0.
  • f'(x) = 6x − 2.
• Answer: f'(x) = 6x − 2

[Medium] Probability Distribution

• EN: A fair coin is flipped 3 times. What is the probability of getting exactly 2 heads?
• FR: On lance une pièce équitable 3 fois. Quelle est la probabilité d'obtenir exactement 2 faces?
• Choices: A) 1/4 B) 3/8 C) 1/2 D) 2/3
• Hint: Use C(n,r) × pʳ × (1−p)ⁿ⁻ʳ. Try: C(3,1) × (1/2)¹ × (1/2)² = 3/8 for exactly 1 head.
• Steps:
  • C(3,2) = 3; p = 1/2.
  • P = 3 × (1/2)² × (1/2)¹ = 3 × 1/8 = 3/8.
• Answer: 3/8

[Medium] Vectors — Addition

• EN: Vector u = (3, 4) and vector v = (−1, 2). What is u + v?
• FR: Le vecteur u = (3, 4) et le vecteur v = (−1, 2). Quel est u + v?
• Choices: A) (2, 4) B) (2, 6) C) (4, 6) D) (3, 6)
• Hint: Add the corresponding components. Try: (5, 1) + (−2, 3) = (3, 4).
• Steps:
  • x-components: 3 + (−1) = 2.
  • y-components: 4 + 2 = 6.
  • Answer: (2, 6)
• Answer: (2, 6)

[Medium] Rational Function — Vertical Asymptote

• EN: What is the vertical asymptote of f(x) = 1/(x − 3)?
• FR: Quelle est l'asymptote verticale de f(x) = 1/(x − 3)?
• Choices: A) x = 1 B) x = 3 C) x = −3 D) y = 3
• Hint: A vertical asymptote occurs where the denominator = 0. Try: f(x) = 1/(x+5) → x+5=0 → x = −5.
• Steps:
  • Set denominator to 0: x − 3 = 0.
  • x = 3 is the vertical asymptote.
• Answer: x = 3

[Hard] Derivative — Application

• EN: The position of a hockey puck is given by s(t) = t³ − 3t² + 2 (in metres, t in seconds). What is its velocity at t = 2?
• FR: La position d'une rondelle est donnée par s(t) = t³ − 3t² + 2 (en mètres, t en secondes). Quelle est sa 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, then substitute t. Try: s(t) = 2t² − t → s'(t) = 4t − 1, at t=3: 4(3)−1=11.
• Steps:
  • s'(t) = 3t² − 6t.
  • s'(2) = 3(4) − 6(2) = 12 − 12 = 0 m/s.
• Answer: 0 m/s

[Hard] Permutations and Combinations — Mixed

• EN: A committee of 3 is chosen from 6 people. One person is always the chairperson. In how many ways can this be done?
• FR: Un comité de 3 personnes est choisi parmi 6. Une personne est toujours présidente. De combien de façons cela peut-il se faire?
• Choices: A) 10 B) 12 C) 15 D) 20
• Hint: Fix the chairperson (1 way), then choose 2 from the remaining 5. Try: C(4,2) = 6 ways to pick 2 from 4.
• Steps:
  • Chair is fixed: 1 way.
  • Choose 2 from the remaining 5: C(5,2) = 10.
  • Total: 1 × 10 = 10 ways.
• Answer: 10