Daily Math — 2026-06-30

[Easy] Counting Bears

• EN: Mia has 7 teddy bears. She gets 5 more. How many does she have now?
• FR: Mia a 7 oursons. Elle en reçoit 5 de plus. Combien en a-t-elle maintenant?
• Choices: A) 10 B) 11 C) 12 D) 13
• Hint: To add, count on from the bigger number (e.g., 6 + 3: start at 6, count up 3 more).
• 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. 4 are taken away. How many are left?
• FR: Il y a 9 rondelles sur la glace. On en enlève 4. Combien en reste-t-il?
• Choices: A) 3 B) 4 C) 5 D) 6
• Hint: To subtract, count back from the bigger number (e.g., 8 − 3: start at 8, count back 3).
• Steps:
  • Start at 9.
  • Count back 4: 8, 7, 6, 5.
• Answer: 5

[Easy] Skip Counting by 2s

• EN: Count by 2s. What comes next: 2, 4, 6, 8, ___?
• FR: Compte par 2. Quel nombre vient ensuite: 2, 4, 6, 8, ___?
• Choices: A) 9 B) 10 C) 11 D) 12
• Hint: Skip counting by 2s means add 2 each time (e.g., 10, 12, 14…).
• 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¢, a nickel = 5¢, a dime = 10¢.
• Steps:
  • A penny is worth 1 cent.
  • A dime is worth 10 cents.
• Answer: Dime

[Medium] Snowflakes on the Window

• EN: There are 14 snowflakes on the window. 6 melt away. How many are left?
• FR: Il y a 14 flocons sur la fenêtre. 6 fondent. Combien en reste-t-il?
• Choices: A) 6 B) 7 C) 8 D) 9
• Hint: To subtract, count back from the first number (e.g., 12 − 5: count back 5 from 12).
• Steps:
  • Start at 14.
  • Count back 6: 13, 12, 11, 10, 9, 8.
• Answer: 8

[Medium] Skip Counting by 5s

• EN: Count by 5s. What comes next: 5, 10, 15, 20, ___?
• FR: Compte par 5. Quel nombre vient ensuite: 5, 10, 15, 20, ___?
• Choices: A) 22 B) 23 C) 25 D) 30
• Hint: Skip counting by 5s means add 5 each time (e.g., 30, 35, 40…).
• Steps:
  • The pattern adds 5 each time.
  • 20 + 5 = 25.
• Answer: 25

[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) Cannot tell
• Hint: The number farther along the number line is greater (e.g., 8 is greater than 5).
• Steps:
  • On the number line, 17 comes after 13.
  • So 17 is greater.
• Answer: 17

[Medium] Adding Stickers

• EN: Luca has 8 stickers. He gets 9 more from his friend. How many does he have in all?
• FR: Luca a 8 autocollants. Son ami lui en donne 9 de plus. Combien en a-t-il en tout?
• Choices: A) 15 B) 16 C) 17 D) 18
• Hint: To add two numbers, start at the bigger one and count up (e.g., 7 + 6: start at 7, count up 6).
• Steps:
  • Start at 9 (bigger number).
  • Count up 8: 10, 11, 12, 13, 14, 15, 16, 17.
• Answer: 17

[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 (e.g., the number just before 50 is 49).
• Steps:
  • One less than 100 means 100 − 1.
  • 100 − 1 = 99.
• Answer: 99

[Hard] Pennies and Nickels

• EN: Sofia has 2 nickels and 3 pennies. How many cents does she have in all?
• FR: Sofia a 2 pièces de 5 cents et 3 pennies. Combien de cents a-t-elle en tout?
• Choices: A) 10 cents B) 12 cents C) 13 cents D) 15 cents
• Hint: A nickel = 5¢, a penny = 1¢. Add them all up (e.g., 1 nickel + 2 pennies = 7¢).
• Steps:
  • 2 nickels = 5 + 5 = 10 cents.
  • 3 pennies = 3 cents. Total = 10 + 3 = 13 cents.
• Answer: 13 cents

[Easy] Adding to 100

• EN: What is 34 + 25?
• FR: Combien font 34 + 25?
• Choices: A) 57 B) 58 C) 59 D) 60
• Hint: Add the ones first, then the tens (e.g., 21 + 13: ones 1+3=4, tens 2+1=3, answer 34).
• Steps:
  • Ones: 4 + 5 = 9.
  • Tens: 3 + 2 = 5. Answer: 59.
• Answer: 59

[Easy] Telling Time

• EN: The clock shows 3 o'clock. What time is it?
• FR: L'horloge indique 3 heures. Quelle heure est-il?
• Choices: A) 2:00 B) 3:00 C) 3:30 D) 4:00
• Hint: When the minute hand points to 12, it is exactly on the hour (e.g., minute hand at 12 and hour hand at 7 = 7:00).
• Steps:
  • Hour hand points to 3.
  • Minute hand points to 12. That means 3:00.
• Answer: 3:00

[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 couleur 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: To find the difference in length, subtract the shorter from the longer (e.g., 20 cm − 12 cm = 8 cm).
• Steps:
  • 15 − 8 = 7.
  • The pencil is 7 cm longer.
• Answer: 7 cm

[Easy] Counting Coins

• EN: Jake has 3 dimes and 1 nickel. How many cents does he have?
• FR: Jake a 3 pièces de 10 cents et 1 pièce de 5 cents. Combien de cents a-t-il?
• Choices: A) 30 cents B) 35 cents C) 40 cents D) 45 cents
• Hint: A dime = 10¢, a nickel = 5¢. Multiply then add (e.g., 2 dimes + 2 nickels = 20 + 10 = 30¢).
• Steps:
  • 3 dimes = 30 cents.
  • 1 nickel = 5 cents. Total = 35 cents.
• Answer: 35 cents

[Medium] Subtracting within 100

• EN: There are 72 students at school. 38 go home for lunch. How many stay?
• FR: Il y a 72 élèves à l'école. 38 rentrent à la maison pour le dîner. Combien restent-ils?
• Choices: A) 32 B) 33 C) 34 D) 35
• Hint: To subtract with regrouping, borrow from the tens column (e.g., 53 − 27: borrow to get 13−7=6, then 4−2=2, answer 26).
• Steps:
  • Ones: can't do 2 − 8, so regroup: 12 − 8 = 4.
  • Tens: 6 − 3 = 3 (after borrowing). Answer: 34.
• Answer: 34

[Medium] Telling Time — Half Hour

• EN: The clock shows the hour hand between 6 and 7, and the minute hand on 6. What time is it?
• FR: L'aiguille des heures est entre 6 et 7, et l'aiguille des minutes est sur le 6. Quelle heure est-il?
• Choices: A) 6:00 B) 6:15 C) 6:30 D) 7:00
• Hint: When the minute hand points to 6, it is always half past the hour (e.g., minute hand at 6 and hour hand past 4 = 4:30).
• Steps:
  • Minute hand on 6 = 30 minutes past.
  • Hour hand past 6 = 6:30.
• Answer: 6:30

[Medium] Simple Patterns

• EN: What comes next in this pattern: 10, 20, 30, 40, ___?
• FR: Quel nombre vient ensuite dans ce patron: 10, 20, 30, 40, ___?
• Choices: A) 45 B) 48 C) 50 D) 55
• Hint: Find the rule by looking at what is added each time (e.g., 3, 6, 9, 12 — rule is add 3).
• Steps:
  • Pattern: add 10 each time.
  • 40 + 10 = 50.
• Answer: 50

[Medium] Adding within 100

• EN: A Tim Hortons muffin costs 45 cents and a juice costs 50 cents. How much do they cost together?
• FR: Un muffin de Tim Hortons coûte 45 cents et un jus coûte 50 cents. Combien coûtent-ils ensemble?
• Choices: A) 90 cents B) 92 cents C) 95 cents D) 100 cents
• Hint: Add tens first, then ones (e.g., 32 + 46: 30+40=70, 2+6=8, answer 78).
• Steps:
  • Tens: 40 + 50 = 90.
  • Ones: 5 + 0 = 5. Total = 95 cents.
• Answer: 95 cents

[Hard] Counting Coins to $1

• EN: Emma has 4 dimes, 3 nickels, and 2 pennies. How many cents does she have in all?
• FR: Emma a 4 pièces de 10 cents, 3 pièces de 5 cents et 2 pennies. Combien de cents a-t-elle en tout?
• Choices: A) 55 cents B) 57 cents C) 60 cents D) 62 cents
• Hint: Find the value of each type of coin separately, then add (e.g., 2 dimes + 1 nickel + 3 pennies = 20+5+3 = 28¢).
• Steps:
  • 4 dimes = 40¢, 3 nickels = 15¢, 2 pennies = 2¢.
  • 40 + 15 + 2 = 57 cents.
• Answer: 57 cents

[Hard] Measuring and Comparing

• EN: A hockey stick is 96 cm long. A broom is 83 cm long. How much longer is the hockey stick?
• FR: Un bâton de hockey mesure 96 cm. Un balai mesure 83 cm. De combien le bâton est-il plus long?
• Choices: A) 11 cm B) 12 cm C) 13 cm D) 14 cm
• Hint: Subtract the shorter measurement from the longer one (e.g., 75 cm − 62 cm = 13 cm).
• Steps:
  • 96 − 83 = 13.
  • The hockey stick is 13 cm longer.
• Answer: 13 cm

[Easy] Multiplication by 2

• EN: What is 6 × 2?
• FR: Combien font 6 × 2?
• Choices: A) 8 B) 10 C) 12 D) 14
• Hint: Multiplying by 2 is the same as doubling (e.g., 7 × 2 = 14).
• Steps:
  • 6 × 2 means 6 groups of 2.
  • 6 + 6 = 12.
• Answer: 12

[Easy] Basic Division

• EN: 20 ÷ 4 = ?
• FR: Combien font 20 ÷ 4?
• Choices: A) 4 B) 5 C) 6 D) 8
• Hint: Division means sharing equally. Ask: how many 4s fit into a number? (e.g., 12 ÷ 4 = 3 because 3 × 4 = 12).
• Steps:
  • Ask: 4 × ? = 20.
  • 4 × 5 = 20, so 20 ÷ 4 = 5.
• Answer: 5

[Easy] Fractions — One Half

• EN: A pizza is cut into 2 equal pieces. Sam eats 1 piece. What fraction did Sam eat?
• FR: Une pizza est coupée en 2 parts égales. Sam mange 1 part. Quelle fraction Sam a-t-il mangée?
• Choices: A) 1/4 B) 1/3 C) 1/2 D) 2/3
• Hint: A fraction shows part of a whole. The bottom number is total pieces, the top is how many (e.g., 1 out of 4 = 1/4).
• Steps:
  • Total pieces = 2 (denominator).
  • Sam ate 1 piece (numerator). Fraction = 1/2.
• Answer: 1/2

[Easy] Perimeter

• EN: A square has sides of 4 cm each. What is its perimeter?
• FR: Un carré a des côtés de 4 cm chacun. Quel est son périmètre?
• Choices: A) 8 cm B) 12 cm C) 16 cm D) 20 cm
• Hint: Perimeter = add all sides. A square has 4 equal sides (e.g., square with sides of 3 cm: 3+3+3+3=12 cm).
• Steps:
  • 4 sides × 4 cm = 16 cm.
  • Perimeter = 16 cm.
• Answer: 16 cm

[Medium] Multiplication by 5

• EN: There are 7 bags with 5 apples each. How many apples in total?
• FR: Il y a 7 sacs avec 5 pommes chacun. Combien y a-t-il de pommes en tout?
• Choices: A) 30 B) 32 C) 35 D) 40
• Hint: Multiplying by 5: skip count by 5s or use the times table (e.g., 6 × 5 = 30).
• Steps:
  • 7 × 5 = 35.
  • There are 35 apples.
• Answer: 35

[Medium] Multiplication by 3

• EN: Each hockey team has 6 players. There are 3 teams. How many players in all?
• FR: Chaque équipe de hockey a 6 joueurs. Il y a 3 équipes. Combien de joueurs y a-t-il en tout?
• Choices: A) 12 B) 15 C) 18 D) 21
• Hint: Multiply the number of groups by the number in each group (e.g., 4 × 3 = 12).
• Steps:
  • 3 teams × 6 players = 18.
  • There are 18 players.
• Answer: 18

[Medium] Fractions — One Quarter

• EN: A chocolate bar is divided into 4 equal pieces. Zoe eats 1 piece. What fraction did she eat?
• FR: Une barre de chocolat est divisée en 4 parts égales. Zoe mange 1 part. Quelle fraction a-t-elle mangée?
• Choices: A) 1/2 B) 1/3 C) 1/4 D) 2/4
• Hint: The fraction = pieces eaten ÷ total pieces (e.g., 1 out of 3 = 1/3).
• Steps:
  • Total pieces = 4.
  • She ate 1. Fraction = 1/4.
• Answer: 1/4

[Medium] Reading a Graph

• EN: A bar graph shows: Cats=4, Dogs=7, Fish=3. How many more dogs than fish are there?
• FR: Un graphique à barres montre: Chats=4, Chiens=7, Poissons=3. Combien y a-t-il plus de chiens que de poissons?
• Choices: A) 2 B) 3 C) 4 D) 5
• Hint: To find "how many more," subtract the smaller value from the larger (e.g., 9 − 5 = 4 more).
• Steps:
  • Dogs = 7, Fish = 3.
  • 7 − 3 = 4 more dogs.
• Answer: 4

[Hard] Multiplication by 10 and Division

• EN: There are 60 stickers shared equally among 10 students. How many stickers does each student get?
• FR: Il y a 60 autocollants partagés également entre 10 élèves. Combien chaque élève en reçoit-il?
• Choices: A) 5 B) 6 C) 7 D) 8
• Hint: Dividing by 10: think about how many 10s are in the number (e.g., 80 ÷ 10 = 8).
• Steps:
  • 60 ÷ 10 = 6.
  • Each student gets 6 stickers.
• Answer: 6

[Hard] Perimeter of a Rectangle

• EN: A rectangular garden has a length of 9 m and a width of 5 m. What is the perimeter?
• FR: Un jardin rectangulaire a une longueur de 9 m et une largeur de 5 m. Quel est son périmètre?
• Choices: A) 24 m B) 26 m C) 28 m D) 30 m
• Hint: Perimeter of rectangle = length + length + width + width = 2×(length + width) (e.g., 6 m + 6 m + 4 m + 4 m = 20 m).
• Steps:
  • 9 + 9 + 5 + 5 = 28.
  • Perimeter = 28 m.
• Answer: 28 m

[Easy] Multiplication Tables

• EN: What is 7 × 8?
• FR: Combien font 7 × 8?
• Choices: A) 54 B) 56 C) 63 D) 64
• Hint: Use a known fact to help: 7 × 8 is close to 7 × 7 = 49, then add one more 7 (e.g., 7 × 7 = 49, so 7 × 8 = 56).
• Steps:
  • 7 × 8 = 56.
  • Double-check: 8 × 7 = 56. ✓
• Answer: 56

[Easy] Decimal Place Value

• EN: In the number 3.74, which digit is in the tenths place?
• FR: Dans le nombre 3,74, quel chiffre est à la position des dixièmes?
• Choices: A) 3 B) 4 C) 7 D) 74
• Hint: In a decimal, tenths is the first digit after the decimal point (e.g., in 5.29, the 2 is in the tenths place).
• Steps:
  • 3 is in the ones place.
  • 7 is in the tenths place. 4 is in the hundredths.
• Answer: 7

[Easy] Area of a Rectangle

• EN: A room is 6 m long and 4 m wide. What is its area?
• FR: Une pièce mesure 6 m de long et 4 m de large. Quelle est son aire?
• Choices: A) 10 m² B) 20 m² C) 24 m² D) 28 m²
• Hint: Area of a rectangle = length × width (e.g., 5 m × 3 m = 15 m²).
• Steps:
  • Area = 6 × 4 = 24.
  • The area is 24 m².
• Answer: 24 m²

[Easy] Comparing Fractions

• 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) 3/4 C) They are equal D) Cannot tell
• Hint: When denominators are the same, the fraction with the bigger numerator is greater (e.g., 5/8 > 3/8).
• Steps:
  • Both have denominator 4.
  • 3 > 1, so 3/4 > 1/4.
• Answer: 3/4

[Medium] Long Division with Remainders

• EN: 47 ÷ 5 = ? (Write the quotient and remainder.)
• FR: 47 ÷ 5 = ? (Écris le quotient et le reste.)
• Choices: A) 8 remainder 7 B) 9 remainder 2 C) 9 remainder 3 D) 10 remainder 2
• Hint: Divide, then multiply back and subtract to find the remainder (e.g., 23 ÷ 4: 4×5=20, remainder = 23−20 = 3, so 5 remainder 3).
• Steps:
  • 5 × 9 = 45. That's the closest without going over 47.
  • 47 − 45 = 2. Answer: 9 remainder 2.
• Answer: 9 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. Combien de temps dure le match?
• Choices: A) 2 hours B) 2 hours 15 minutes C) 2 hours 30 minutes D) 2 hours 45 minutes
• Hint: Count from start time to end time in steps (e.g., 2:10 to 4:40 — 2 hours to 4:10, then 30 more minutes = 2 hours 30 min).
• Steps:
  • 1:15 PM to 3:15 PM = 2 hours.
  • 3:15 PM to 3:45 PM = 30 more minutes. Total = 2 hours 30 minutes.
• Answer: 2 hours 30 minutes

[Medium] Decimal Operations

• EN: A water bottle holds 1.5 L. A second bottle holds 2.3 L. How much water do they hold together?
• FR: Une bouteille contient 1,5 L. Une deuxième bouteille contient 2,3 L. Combien d'eau contiennent-elles ensemble?
• Choices: A) 3.5 L B) 3.7 L C) 3.8 L D) 4.0 L
• Hint: Line up the decimal points and add column by column (e.g., 2.4 + 1.3 = 3.7).
• Steps:
  • 1.5 + 2.3: tenths: 5 + 3 = 8 tenths, ones: 1 + 2 = 3.
  • Answer = 3.8 L.
• Answer: 3.8 L

[Medium] Multiplication — 2-Digit by 1-Digit

• EN: A store sells 8 boxes of crayons. Each box has 24 crayons. How many crayons in all?
• FR: Un magasin vend 8 boîtes de crayons. Chaque boîte contient 24 crayons. Combien de crayons y a-t-il en tout?
• Choices: A) 162 B) 176 C) 192 D) 200
• Hint: Break apart the multiplication: 8 × 24 = 8 × 20 + 8 × 4 (e.g., 6 × 23 = 6×20 + 6×3 = 120+18 = 138).
• Steps:
  • 8 × 20 = 160.
  • 8 × 4 = 32. Total = 160 + 32 = 192.
• Answer: 192

[Hard] Long Division

• EN: 156 ÷ 6 = ?
• FR: Combien font 156 ÷ 6?
• Choices: A) 24 B) 25 C) 26 D) 27
• Hint: Divide step by step (e.g., 132 ÷ 6: 6 into 13 = 2 r1, bring down 2 → 12 ÷ 6 = 2, answer 22).
• Steps:
  • 6 into 15 = 2 r3. Bring down 6 → 36.
  • 36 ÷ 6 = 6. Answer: 26.
• Answer: 26

[Hard] Comparing Decimals and Fractions

• EN: Order from least to greatest: 0.5, 3/4, 0.25, 1/2.
• FR: Ordonne du plus petit au plus grand: 0,5; 3/4; 0,25; 1/2.
• Choices: A) 0.25, 0.5, 1/2, 3/4 B) 0.25, 1/2, 0.5, 3/4 C) 0.25, 1/2, 3/4, 0.5 D) 1/2, 0.25, 0.5, 3/4
• Hint: Convert all to decimals to compare (e.g., 1/4 = 0.25, 1/2 = 0.50, 3/4 = 0.75).
• Steps:
  • 0.25, 0.5 = 1/2, 0.5 = 1/2, 0.75 = 3/4.
  • Least to greatest: 0.25, 1/2, 0.5, 3/4. But 1/2 = 0.5, so: 0.25, 0.5, 1/2, 3/4.
• Answer: 0.25, 0.5, 1/2, 3/4

[Easy] Multi-Digit Multiplication

• EN: What is 32 × 14?
• FR: Combien font 32 × 14?
• Choices: A) 418 B) 428 C) 448 D) 458
• Hint: Break it apart: 32 × 14 = 32 × 10 + 32 × 4 (e.g., 21 × 13 = 21×10 + 21×3 = 210+63 = 273).
• Steps:
  • 32 × 10 = 320.
  • 32 × 4 = 128. Total = 320 + 128 = 448.
• Answer: 448

[Easy] Adding Fractions with Like Denominators

• EN: 2/7 + 3/7 = ?
• FR: Combien font 2/7 + 3/7?
• Choices: A) 5/14 B) 5/7 C) 6/7 D) 1
• Hint: Add the numerators only; keep the denominator the same (e.g., 3/8 + 2/8 = 5/8).
• Steps:
  • 2 + 3 = 5. Denominator stays 7.
  • Answer = 5/7.
• Answer: 5/7

[Easy] Decimal Addition

• EN: 4.36 + 2.51 = ?
• FR: Combien font 4,36 + 2,51?
• Choices: A) 6.78 B) 6.87 C) 6.97 D) 7.87
• Hint: Line up decimal points and add column by column (e.g., 3.24 + 1.53 = 4.77).
• Steps:
  • Hundredths: 6 + 1 = 7. Tenths: 3 + 5 = 8. Ones: 4 + 2 = 6.
  • Answer = 6.87.
• Answer: 6.87

[Easy] Percentage — 50%

• EN: What is 50% of 80?
• FR: Combien font 50% de 80?
• Choices: A) 30 B) 35 C) 40 D) 45
• Hint: 50% means half. Divide by 2 (e.g., 50% of 60 = 60 ÷ 2 = 30).
• Steps:
  • 50% of 80 = 80 ÷ 2 = 40.
  • Answer = 40.
• Answer: 40

[Medium] Multi-Digit Division

• EN: 325 ÷ 5 = ?
• FR: Combien font 325 ÷ 5?
• Choices: A) 60 B) 63 C) 65 D) 68
• Hint: Divide step by step from left to right (e.g., 246 ÷ 6: 6 into 24 = 4, bring down 6, 6÷6=1, answer 41).
• Steps:
  • 5 into 32 = 6 r2. Bring down 5 → 25.
  • 25 ÷ 5 = 5. Answer = 65.
• Answer: 65

[Medium] Subtracting Fractions

• EN: 6/9 − 2/9 = ?
• FR: Combien font 6/9 − 2/9?
• Choices: A) 3/9 B) 4/9 C) 5/9 D) 4/18
• Hint: Subtract the numerators only; keep the denominator the same (e.g., 7/10 − 3/10 = 4/10).
• Steps:
  • 6 − 2 = 4. Denominator stays 9.
  • Answer = 4/9.
• Answer: 4/9

[Medium] Percentage — 25%

• EN: A jacket costs $60. It is on sale for 25% off. How much is the discount?
• FR: Une veste coûte 60 $. Elle est en solde à 25% de réduction. Combien est la réduction?
• Choices: A) $10 B) $12 C) $15 D) $20
• Hint: 25% = 1/4. Divide by 4 (e.g., 25% of $40 = $40 ÷ 4 = $10).
• Steps:
  • 25% of $60 = $60 ÷ 4 = $15.
  • The discount is $15.
• Answer: $15

[Medium] Volume of a Rectangular Prism

• EN: A box is 5 cm long, 4 cm wide, and 3 cm tall. What is its volume?
• FR: Une boîte est longue de 5 cm, large de 4 cm et haute de 3 cm. Quel est son volume?
• Choices: A) 48 cm³ B) 56 cm³ C) 60 cm³ D) 64 cm³
• Hint: Volume = length × width × height (e.g., 2 × 3 × 4 = 24 cm³).
• Steps:
  • 5 × 4 = 20.
  • 20 × 3 = 60 cm³.
• Answer: 60 cm³

[Hard] Multi-Digit Multiplication

• EN: There are 24 classrooms. Each classroom has 28 students. How many students in all?
• FR: Il y a 24 salles de classe. Chaque salle a 28 élèves. Combien y a-t-il d'élèves en tout?
• Choices: A) 632 B) 652 C) 672 D) 692
• Hint: Use the standard algorithm or break apart: 24 × 28 = 24×20 + 24×8 (e.g., 15×23 = 15×20+15×3 = 300+45 = 345).
• Steps:
  • 24 × 20 = 480.
  • 24 × 8 = 192. Total = 480 + 192 = 672.
• Answer: 672

[Hard] Decimal and Percent Combined

• EN: A Tim Hortons order costs $12.00. You have a 10% discount coupon. What is the final price?
• FR: Une commande à Tim Hortons coûte 12,00 $. Tu as un coupon de réduction de 10%. Quel est le prix final?
• Choices: A) $10.20 B) $10.60 C) $10.80 D) $11.20
• Hint: 10% of a price = divide by 10. Subtract from original (e.g., 10% of $20 = $2, final = $20 − $2 = $18).
• Steps:
  • 10% of $12.00 = $1.20.
  • $12.00 − $1.20 = $10.80.
• Answer: $10.80

[Easy] Fraction Multiplication

• EN: What is 1/2 × 4/5?
• FR: Combien font 1/2 × 4/5?
• Choices: A) 5/10 B) 4/10 C) 2/5 D) 4/7
• Hint: Multiply numerators together, then denominators together (e.g., 2/3 × 3/4 = 6/12 = 1/2).
• Steps:
  • 1 × 4 = 4. 2 × 5 = 10. Answer = 4/10 = 2/5.
  • Simplified: 2/5.
• Answer: 2/5

[Easy] Percent of a Number

• EN: What is 30% of 50?
• FR: Combien font 30% de 50?
• Choices: A) 10 B) 12 C) 15 D) 20
• Hint: Change percent to decimal, then multiply (e.g., 20% of 40 = 0.20 × 40 = 8).
• Steps:
  • 30% = 0.30. 0.30 × 50 = 15.
  • Answer = 15.
• Answer: 15

[Easy] Integers — Positive and Negative

• EN: The temperature is −3°C in the morning and rises 8 degrees. What is the new temperature?
• FR: La température est de −3°C le matin et monte de 8 degrés. Quelle est la nouvelle température?
• Choices: A) 3°C B) 5°C C) 6°C D) 11°C
• Hint: Adding a positive to a negative: move right on the number line (e.g., −5 + 7 = 2).
• Steps:
  • −3 + 8 = 5.
  • New temperature is 5°C.
• Answer: 5°C

[Easy] Ratios

• EN: In a bag there are 4 red marbles and 6 blue marbles. What is the ratio of red to blue?
• FR: Dans un sac, il y a 4 billes rouges et 6 billes bleues. Quel est le rapport des rouges aux bleues?
• Choices: A) 2:3 B) 3:2 C) 4:10 D) 6:4
• Hint: Write the ratio in lowest terms by dividing both parts by their GCF (e.g., 6:9 = 2:3 because GCF is 3).
• Steps:
  • Ratio = 4:6. GCF of 4 and 6 is 2.
  • 4÷2 : 6÷2 = 2:3.
• Answer: 2:3

[Medium] Fraction Division

• EN: 3/4 ÷ 1/2 = ?
• FR: Combien font 3/4 ÷ 1/2?
• Choices: A) 3/8 B) 1 C) 3/2 D) 2
• Hint: Dividing by a fraction = multiply by its reciprocal (e.g., 2/3 ÷ 1/4 = 2/3 × 4/1 = 8/3).
• Steps:
  • 3/4 ÷ 1/2 = 3/4 × 2/1 = 6/4 = 3/2.
  • Answer = 3/2.
• Answer: 3/2

[Medium] Order of Operations (BEDMAS)

• EN: Evaluate: 3 + 4 × 2 − 1
• FR: Évalue: 3 + 4 × 2 − 1
• Choices: A) 10 B) 13 C) 14 D) 15
• Hint: BEDMAS: do multiplication/division before addition/subtraction (e.g., 5 + 3 × 2 = 5 + 6 = 11).
• Steps:
  • First: 4 × 2 = 8.
  • Then: 3 + 8 − 1 = 10.
• Answer: 10

[Medium] Rates

• EN: A car travels 240 km in 3 hours. What is its speed in km/h?
• FR: Une voiture parcourt 240 km en 3 heures. Quelle est sa vitesse en km/h?
• Choices: A) 70 km/h B) 75 km/h C) 80 km/h D) 90 km/h
• Hint: Speed = distance ÷ time (e.g., 150 km in 2 hours = 75 km/h).
• Steps:
  • 240 ÷ 3 = 80.
  • Speed = 80 km/h.
• Answer: 80 km/h

[Medium] Simple Algebraic Expression

• EN: If x = 5, what is the value of 3x + 4?
• FR: Si x = 5, quelle est la valeur de 3x + 4?
• Choices: A) 17 B) 18 C) 19 D) 20
• Hint: Substitute the value in place of x, then calculate (e.g., if x = 3: 2x + 1 = 2×3 + 1 = 7).
• Steps:
  • 3 × 5 = 15.
  • 15 + 4 = 19.
• Answer: 19

[Hard] Percent of a Number — Complex

• EN: A video game costs $75. It is on sale for 40% off. What is the sale price?
• FR: Un jeu vidéo coûte 75 $. Il est en solde à 40% de réduction. Quel est le prix de vente?
• Choices: A) $40.00 B) $42.00 C) $45.00 D) $48.00
• Hint: Find the discount first, then subtract (e.g., 30% off $80 = 0.30×80=$24 off; $80−$24=$56).
• Steps:
  • 40% of $75 = 0.40 × 75 = $30.
  • Sale price = $75 − $30 = $45.00.
• Answer: $45.00

[Hard] BEDMAS with Brackets

• EN: Evaluate: (5 + 3)² ÷ 4 − 2
• FR: Évalue: (5 + 3)² ÷ 4 − 2
• Choices: A) 12 B) 14 C) 16 D) 18
• Hint: BEDMAS: Brackets first, then Exponents, then Division, then Subtraction (e.g., (2+3)² ÷ 5 = 25÷5 = 5).
• Steps:
  • Brackets: 5 + 3 = 8.
  • Exponent: 8² = 64. Division: 64 ÷ 4 = 16. Subtraction: 16 − 2 = 14.
• Answer: 14

[Easy] Integer Addition

• EN: (−5) + (−3) = ?
• FR: (−5) + (−3) = ?
• Choices: A) −8 B) −2 C) 2 D) 8
• Hint: Adding two negatives: add the numbers and keep the negative sign (e.g., (−4) + (−6) = −10).
• Steps:
  • Both are negative: add 5 + 3 = 8.
  • Keep the negative sign: −8.
• Answer: −8

[Easy] Integer Subtraction

• EN: 4 − (−6) = ?
• FR: 4 − (−6) = ?
• Choices: A) −2 B) 2 C) 8 D) 10
• Hint: Subtracting a negative is the same as adding a positive (e.g., 3 − (−5) = 3 + 5 = 8).
• Steps:
  • 4 − (−6) = 4 + 6 = 10.
  • Answer = 10.
• Answer: 10

[Easy] Discount Calculation

• EN: A hockey jersey costs $80. There is a 15% discount. How much is saved?
• FR: Un chandail de hockey coûte 80 $. Il y a un rabais de 15%. Combien économise-t-on?
• Choices: A) $10 B) $12 C) $15 D) $20
• Hint: Discount = percent × original price (e.g., 10% of $50 = 0.10 × 50 = $5).
• Steps:
  • 15% of $80 = 0.15 × 80 = $12.
  • You save $12.
• Answer: $12

[Easy] Probability

• EN: A bag has 3 red and 7 blue chips. What is the probability of picking red?
• FR: Un sac contient 3 jetons rouges et 7 jetons bleus. Quelle est la probabilité de tirer un rouge?
• Choices: A) 3/7 B) 3/10 C) 7/10 D) 1/3
• Hint: Probability = favourable outcomes ÷ total outcomes (e.g., 2 red out of 8 total = 2/8 = 1/4).
• Steps:
  • Total chips = 3 + 7 = 10.
  • P(red) = 3/10.
• Answer: 3/10

[Medium] Integer Multiplication

• EN: (−4) × 7 = ?
• FR: (−4) × 7 = ?
• Choices: A) −28 B) −11 C) 11 D) 28
• Hint: Negative × positive = negative (e.g., (−5) × 6 = −30).
• Steps:
  • 4 × 7 = 28.
  • One negative factor → answer is negative: −28.
• Answer: −28

[Medium] Percentage — Tax

• EN: A book costs $24.00. HST is 13%. What is the total cost including tax?
• FR: Un livre coûte 24,00 $. La TVH est de 13%. Quel est le coût total avec la taxe?
• Choices: A) $26.82 B) $27.00 C) $27.12 D) $27.50
• Hint: Total = price + (tax rate × price) = price × (1 + rate) (e.g., $30 + 13% tax = $30 × 1.13 = $33.90).
• Steps:
  • Tax = 0.13 × $24.00 = $3.12.
  • Total = $24.00 + $3.12 = $27.12.
• Answer: $27.12

[Medium] One-Step Linear Equation

• EN: Solve for x: x + 9 = 17
• FR: Résous pour x: x + 9 = 17
• Choices: A) x = 6 B) x = 7 C) x = 8 D) x = 9
• Hint: To isolate x, subtract the same number from both sides (e.g., x + 5 = 12 → x = 12 − 5 = 7).
• Steps:
  • x + 9 = 17.
  • x = 17 − 9 = 8.
• Answer: x = 8

[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 de surface?
• Choices: A) 30 cm² B) 52 cm² C) 62 cm² D) 72 cm²
• Hint: SA = 2(lw + lh + wh) (e.g., 4×3×2 box: 2(12+8+6) = 2(26) = 52 cm²).
• Steps:
  • lw = 5×3 = 15, lh = 5×2 = 10, wh = 3×2 = 6.
  • SA = 2(15+10+6) = 2(31) = 62 cm².
• Answer: 62 cm²

[Hard] Integer Division Combined

• EN: Evaluate: (−36) ÷ (−4) + (−5) × 2
• FR: Évalue: (−36) ÷ (−4) + (−5) × 2
• Choices: A) −1 B) 1 C) −19 D) 19
• Hint: Follow BEDMAS: do division and multiplication first (e.g., (−12)÷(−3) + 2×(−4) = 4 + (−8) = −4).
• Steps:
  • (−36) ÷ (−4) = 9. (−5) × 2 = −10.
  • 9 + (−10) = −1.
• Answer: −1

[Hard] Tip Calculation and Total

• EN: A meal at a restaurant costs $56.00. You add a 15% tip. What is the total amount paid?
• FR: Un repas au restaurant coûte 56,00 $. Tu laisses un pourboire de 15%. Quel est le montant total payé?
• Choices: A) $62.40 B) $64.00 C) $64.40 D) $65.20
• Hint: Tip = 15% × bill. Total = bill + tip (e.g., 15% of $40 = $6; total = $46).
• Steps:
  • 15% of $56 = 0.15 × 56 = $8.40.
  • Total = $56.00 + $8.40 = $64.40.
• Answer: $64.40

[Easy] Perfect Squares

• EN: What is the square root of 81?
• FR: Quelle est la racine carrée de 81?
• Choices: A) 7 B) 8 C) 9 D) 10
• Hint: Ask yourself: what number times itself equals the given number? (e.g., √64 = 8 because 8 × 8 = 64).
• Steps:
  • 9 × 9 = 81.
  • √81 = 9.
• Answer: 9

[Easy] Mean

• EN: Find the mean of: 4, 8, 6, 10, 12.
• FR: Trouve la moyenne de: 4, 8, 6, 10, 12.
• Choices: A) 7 B) 8 C) 9 D) 10
• Hint: Mean = sum of all values ÷ number of values (e.g., mean of 3, 5, 7 = 15 ÷ 3 = 5).
• Steps:
  • Sum = 4+8+6+10+12 = 40.
  • Mean = 40 ÷ 5 = 8.
• Answer: 8

[Easy] Percent Increase

• EN: A price goes from $50 to $60. What is the percent increase?
• FR: Un prix passe de 50 $ à 60 $. Quel est le pourcentage d'augmentation?
• Choices: A) 10% B) 15% C) 20% D) 25%
• Hint: % increase = (increase ÷ original) × 100 (e.g., $30 to $36: increase = $6; $6÷$30 × 100 = 20%).
• Steps:
  • Increase = 60 − 50 = $10.
  • % increase = (10 ÷ 50) × 100 = 20%.
• Answer: 20%

[Easy] Two-Step Equation

• EN: Solve: 2x + 3 = 11
• FR: Résous: 2x + 3 = 11
• Choices: A) x = 3 B) x = 4 C) x = 5 D) x = 6
• Hint: Step 1: subtract the constant. Step 2: divide (e.g., 3x + 2 = 14 → 3x = 12 → x = 4).
• Steps:
  • 2x + 3 = 11 → 2x = 8.
  • x = 8 ÷ 2 = 4.
• Answer: x = 4

[Medium] Pythagorean Theorem

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

[Medium] Two-Step Equation — Harder

• EN: Solve: 5x − 7 = 23
• FR: Résous: 5x − 7 = 23
• Choices: A) x = 4 B) x = 5 C) x = 6 D) x = 7
• Hint: Add the constant to both sides first, then divide (e.g., 4x − 3 = 17 → 4x = 20 → x = 5).
• Steps:
  • 5x − 7 = 23 → 5x = 30.
  • x = 30 ÷ 5 = 6.
• Answer: x = 6

[Medium] Slope Introduction

• EN: A line passes through (0, 2) and (4, 10). What is the slope?
• FR: Une droite passe par (0, 2) et (4, 10). Quelle est la pente?
• Choices: A) 1 B) 2 C) 3 D) 4
• Hint: Slope = rise ÷ run = (y₂ − y₁) ÷ (x₂ − x₁) (e.g., (0,1) to (3,7): (7−1)÷(3−0) = 6÷3 = 2).
• Steps:
  • Rise = 10 − 2 = 8. Run = 4 − 0 = 4.
  • Slope = 8 ÷ 4 = 2.
• Answer: 2

[Medium] Median and Mode

• EN: Find the median of: 3, 7, 5, 9, 5, 11, 5.
• FR: Trouve la médiane de: 3, 7, 5, 9, 5, 11, 5.
• Choices: A) 5 B) 6 C) 7 D) 9
• Hint: Order the values from least to greatest, then find the middle one (e.g., 2, 4, 7, 9, 12 → median = 7).
• Steps:
  • Ordered: 3, 5, 5, 5, 7, 9, 11. Middle (4th) value = 5.
  • Median = 5.
• Answer: 5

[Hard] Pythagorean Theorem — Leg Unknown

• EN: A right triangle has a hypotenuse of 13 cm and one leg of 5 cm. Find the other leg.
• FR: Un triangle rectangle a une hypoténuse de 13 cm et un côté de 5 cm. Trouve l'autre côté.
• Choices: A) 8 cm B) 10 cm C) 12 cm D) 14 cm
• Hint: Rearrange: b² = c² − a² (e.g., hypotenuse 10, leg 6: b² = 100−36 = 64; b = 8).
• Steps:
  • b² = 13² − 5² = 169 − 25 = 144.
  • b = √144 = 12 cm.
• Answer: 12 cm

[Hard] Percent Decrease and Final Price

• EN: A snowboard originally costs $320. It is reduced by 35%. What is the sale price?
• FR: Une planche à neige coûte originalement 320 $. Elle est réduite de 35%. Quel est le prix de vente?
• Choices: A) $192.00 B) $200.00 C) $208.00 D) $215.00
• Hint: Sale price = original × (1 − discount rate) (e.g., $200 at 25% off = $200 × 0.75 = $150).
• Steps:
  • Discount = 0.35 × $320 = $112.
  • Sale price = $320 − $112 = $208.00.
• Answer: $208.00

[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 to both sides, then divide (e.g., 4x − 2 = 14 → 4x = 16 → x = 4).
• Steps:
  • 3x = 11 + 4 = 15.
  • x = 15 ÷ 3 = 5.
• Answer: x = 5

[Easy] Adding Polynomials

• EN: Simplify: (2x + 3) + (4x − 1)
• FR: Simplifie: (2x + 3) + (4x − 1)
• Choices: A) 6x + 2 B) 6x + 4 C) 6x − 2 D) 2x + 2
• Hint: Combine like terms: x-terms together, constants together (e.g., (3x+2)+(2x+5) = 5x+7).
• Steps:
  • x-terms: 2x + 4x = 6x.
  • Constants: 3 + (−1) = 2. Answer = 6x + 2.
• Answer: 6x + 2

[Easy] Graphing — Slope-Intercept

• EN: In the equation y = 3x + 2, what is the y-intercept?
• FR: Dans l'équation y = 3x + 2, quel est l'ordonnée à l'origine?
• Choices: A) 1 B) 2 C) 3 D) 5
• Hint: In y = mx + b, b is the y-intercept (e.g., y = 5x + 7 has y-intercept 7).
• Steps:
  • y = 3x + 2 is in y = mx + b form.
  • b = 2, so the y-intercept is 2.
• Answer: 2

[Easy] Linear Inequality

• EN: Solve: x + 5 > 12
• FR: Résous: x + 5 > 12
• Choices: A) x > 5 B) x > 6 C) x > 7 D) x > 8
• Hint: Treat like an equation but keep the inequality sign (e.g., x + 3 > 9 → x > 6).
• Steps:
  • x + 5 > 12 → x > 12 − 5.
  • x > 7.
• Answer: x > 7

[Medium] Multiplying Polynomials

• EN: Expand: (x + 3)(x + 5)
• FR: Développe: (x + 3)(x + 5)
• Choices: A) x² + 8x + 15 B) x² + 8x + 8 C) x² + 15x + 8 D) x² + 5x + 15
• Hint: Use FOIL: First, Outer, Inner, Last (e.g., (x+2)(x+4) = x²+4x+2x+8 = x²+6x+8).
• Steps:
  • First: x·x = x². Outer: x·5 = 5x. Inner: 3·x = 3x. Last: 3·5 = 15.
  • x² + 5x + 3x + 15 = x² + 8x + 15.
• Answer: x² + 8x + 15

[Medium] Similar Triangles

• EN: Two similar triangles have corresponding sides 4 cm and 6 cm. If the smaller triangle has another side of 10 cm, what is the corresponding side of the larger?
• FR: Deux triangles semblables ont des côtés correspondants de 4 cm et 6 cm. Si le plus petit triangle a un autre côté de 10 cm, quel est le côté correspondant du plus grand?
• Choices: A) 12 cm B) 14 cm C) 15 cm D) 16 cm
• Hint: Set up a proportion: small/large = small/large (e.g., sides 3 and 9 with corresponding side 5: 3/9 = 5/? → ? = 15).
• Steps:
  • Scale factor = 6/4 = 1.5.
  • 10 × 1.5 = 15 cm.
• Answer: 15 cm

[Medium] Trigonometry — SOH

• EN: In a right triangle, the opposite side is 6 cm and hypotenuse is 10 cm. What is sin(θ)?
• FR: Dans un triangle rectangle, le côté opposé est de 6 cm et l'hypoténuse est de 10 cm. Quel est sin(θ)?
• Choices: A) 0.4 B) 0.5 C) 0.6 D) 0.8
• Hint: SOH: sin = opposite ÷ hypotenuse (e.g., opposite = 4, hypotenuse = 8: sin = 4/8 = 0.5).
• Steps:
  • sin(θ) = opposite / hypotenuse = 6 / 10 = 0.6.
• Answer: 0.6

[Medium] Solving a Two-Variable Equation (Substitution)

• EN: If y = 2x + 1 and x = 3, what is y?
• FR: Si y = 2x + 1 et x = 3, quelle est la valeur de y?
• Choices: A) 5 B) 6 C) 7 D) 8
• Hint: Substitute the value of x into the equation (e.g., y = 3x − 2, x = 4: y = 12−2 = 10).
• Steps:
  • y = 2(3) + 1 = 6 + 1 = 7.
• Answer: 7

[Hard] Subtracting Polynomials and Simplifying

• EN: Simplify: (3x² + 5x − 2) − (x² − 3x + 4)
• FR: Simplifie: (3x² + 5x − 2) − (x² − 3x + 4)
• Choices: A) 2x² + 2x − 6 B) 2x² + 8x − 6 C) 4x² + 2x − 6 D) 2x² + 8x + 2
• Hint: Distribute the negative sign, then combine like terms (e.g., (4x²+2x)−(x²−x) = 3x²+3x).
• Steps:
  • Distribute: 3x²+5x−2 − x²+3x−4.
  • Combine: (3x²−x²) + (5x+3x) + (−2−4) = 2x² + 8x − 6.
• Answer: 2x² + 8x − 6

[Hard] Trigonometry — Finding an Angle

• EN: In a right triangle, the adjacent side is 5 cm and hypotenuse is 10 cm. What is the angle θ to the nearest degree? (cos⁻¹(0.5) = 60°)
• FR: Dans un triangle rectangle, le côté adjacent est de 5 cm et l'hypoténuse est de 10 cm. Quelle est l'angle θ au degré près?
• Choices: A) 30° B) 45° C) 60° D) 90°
• Hint: CAH: cos(θ) = adjacent/hypotenuse. Then use cos⁻¹ to find θ (e.g., cos(θ) = 1/2 → θ = 60°).
• Steps:
  • cos(θ) = 5/10 = 0.5.
  • θ = cos⁻¹(0.5) = 60°.
• Answer: 60°

[Easy] Factoring Quadratics

• 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 the constant and add to the middle coefficient (e.g., x²+7x+12: 3×4=12, 3+4=7 → (x+3)(x+4)).
• Steps:
  • Need two numbers: product = 6, sum = 5.
  • 2 × 3 = 6, 2 + 3 = 5. Answer = (x + 2)(x + 3).
• Answer: (x + 2)(x + 3)

[Easy] Trigonometry — Finding a Side

• EN: In a right triangle, θ = 30°, hypotenuse = 20 cm. Find the opposite side. (sin 30° = 0.5)
• FR: Dans un triangle rectangle, θ = 30°, hypoténuse = 20 cm. Trouve le côté opposé. (sin 30° = 0,5)
• Choices: A) 8 cm B) 10 cm C) 12 cm D) 15 cm
• Hint: SOH: opposite = sin(θ) × hypotenuse (e.g., sin 45° × 14 = 0.707 × 14 ≈ 9.9 cm).
• Steps:
  • sin(30°) = 0.5.
  • Opposite = 0.5 × 20 = 10 cm.
• Answer: 10 cm

[Easy] Systems of Equations — Substitution

• EN: Solve the system: y = x + 2 and y = 3x − 4. What is x?
• FR: Résous le système: y = x + 2 et y = 3x − 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 (e.g., x+1 = 2x−3 → 4 = x).
• Steps:
  • x + 2 = 3x − 4 → 6 = 2x → x = 3.
• Answer: x = 3

[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? (Utilise 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 (e.g., r=2, h=5: V = 3.14×4×5 = 62.8 cm³).
• Steps:
  • r² = 9. V = 3.14 × 9 × 10 = 282.6.
  • Volume = 282.6 cm³.
• Answer: 282.6 cm³

[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 and x = −7 B) x = −1 and x = 7 C) x = 2 and x = −8 D) x = 7 and x = 1
• Hint: Move constant, complete the square, then take the square root (e.g., x²+4x−5=0 → (x+2)²=9 → x=1 or x=−5).
• Steps:
  • x²+6x = 7 → (x+3)² = 7+9 = 16.
  • x+3 = ±4 → x = 1 or x = −7.
• Answer: x = 1 and x = −7

[Medium] Circle Geometry

• EN: A circle has a diameter of 14 cm. What is its circumference? (Use π ≈ 3.14)
• FR: Un cercle a un diamètre de 14 cm. Quelle est sa circonférence? (Utilise π ≈ 3,14)
• Choices: A) 40.82 cm B) 43.96 cm C) 46.00 cm D) 48.24 cm
• Hint: Circumference = π × diameter (e.g., d = 10: C = 3.14 × 10 = 31.4 cm).
• Steps:
  • C = 3.14 × 14 = 43.96 cm.
• Answer: 43.96 cm

[Medium] Systems of Equations — Elimination

• EN: Solve: 2x + y = 10 and x + y = 7. What is x?
• FR: Résous: 2x + y = 10 et x + y = 7. Quelle est la valeur de x?
• Choices: A) x = 1 B) x = 2 C) x = 3 D) x = 4
• Hint: Subtract one equation from the other to eliminate y (e.g., 3x+y=11 minus x+y=7 gives 2x=4 → x=2).
• Steps:
  • Subtract: (2x+y)−(x+y)=10−7 → x = 3.
• Answer: x = 3

[Medium] Trigonometry — tan

• EN: In a right triangle, opposite = 7 cm, adjacent = 7 cm. What is tan(θ)?
• FR: Dans un triangle rectangle, côté opposé = 7 cm, côté adjacent = 7 cm. Quel est tan(θ)?
• Choices: A) 0.5 B) 0.75 C) 1 D) 1.5
• Hint: TOA: tan = opposite ÷ adjacent (e.g., opposite=3, adjacent=6: tan = 3/6 = 0.5).
• Steps:
  • tan(θ) = 7 ÷ 7 = 1.
• Answer: 1

[Hard] Quadratic Formula

• EN: Use the quadratic formula to solve: x² − 5x + 4 = 0. What are the roots?
• FR: Utilise la formule quadratique pour résoudre: x² − 5x + 4 = 0. Quelles sont les racines?
• Choices: A) x = 1 and x = 4 B) x = 2 and x = 3 C) x = −1 and x = −4 D) x = 1 and x = −4
• Hint: x = [−b ± √(b²−4ac)] ÷ 2a (e.g., x²−3x+2=0: x=(3±1)/2 → x=2 or x=1).
• Steps:
  • a=1, b=−5, c=4. Discriminant = 25−16 = 9.
  • x = (5±3)/2 → x = 4 or x = 1.
• Answer: x = 1 and x = 4

[Hard] Surface Area of a Cone

• EN: A cone has radius 5 cm and slant height 13 cm. What is its total surface area? (Use π ≈ 3.14)
• FR: Un cône a un rayon de 5 cm et une hauteur oblique de 13 cm. Quelle est son aire de surface totale? (Utilise π ≈ 3,14)
• Choices: A) 251.2 cm² B) 282.6 cm² C) 298.3 cm² D) 314.0 cm²
• Hint: SA = πr² + πrl (base + lateral) (e.g., r=3, l=5: 3.14×9 + 3.14×3×5 = 28.26+47.1 = 75.36 cm²).
• Steps:
  • Base = 3.14 × 25 = 78.5. Lateral = 3.14 × 5 × 13 = 204.1.
  • Total SA = 78.5 + 204.1 = 282.6 cm².
• Answer: 282.6 cm²

[Easy] Exponential Function

• EN: If f(x) = 2ˣ, what is f(4)?
• FR: Si f(x) = 2ˣ, quelle est la valeur de f(4)?
• Choices: A) 8 B) 12 C) 16 D) 20
• Hint: Exponential functions: substitute x and compute the power (e.g., f(3) = 2³ = 8).
• Steps:
  • f(4) = 2⁴ = 2 × 2 × 2 × 2 = 16.
• Answer: 16

[Easy] Arithmetic Sequence

• EN: Find the 6th term of the arithmetic sequence: 3, 7, 11, 15, …
• FR: Trouve le 6e terme de la suite arithmétique: 3, 7, 11, 15, …
• Choices: A) 19 B) 21 C) 23 D) 25
• Hint: aₙ = a₁ + (n−1)d where d is the common difference (e.g., first term 2, d=5: a₄ = 2+3×5 = 17).
• Steps:
  • d = 7 − 3 = 4. a₆ = 3 + (6−1) × 4 = 3 + 20 = 23.
• Answer: 23

[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 (e.g., log₃(9) = 2 because 3² = 9).
• Steps:
  • 2? = 8. 2³ = 8.
  • log₂(8) = 3.
• Answer: 3

[Easy] Compound Interest

• EN: $1000 is invested at 5% per year, compounded annually for 2 years. What is the amount?
• FR: 1000 $ sont investis à 5% par année, composé annuellement pendant 2 ans. Quel est le montant?
• Choices: A) $1050.00 B) $1100.00 C) $1102.50 D) $1105.00
• Hint: A = P(1 + r)ⁿ (e.g., $500 at 4% for 2 years: 500 × 1.04² = 500 × 1.0816 = $540.80).
• Steps:
  • A = 1000 × (1.05)² = 1000 × 1.1025 = $1102.50.
• Answer: $1102.50

[Medium] Quadratic Function — Vertex

• EN: What is the vertex of f(x) = x² − 4x + 7?
• FR: Quel est le sommet de f(x) = x² − 4x + 7?
• Choices: A) (2, 3) B) (2, 4) C) (4, 7) D) (−2, 3)
• Hint: Vertex x-coordinate = −b/(2a). Then substitute to find y (e.g., x²−6x+11: x=3, y=9−18+11=2, vertex=(3,2)).
• Steps:
  • x = −(−4)/(2×1) = 4/2 = 2.
  • y = 4 − 8 + 7 = 3. Vertex = (2, 3).
• Answer: (2, 3)

[Medium] Geometric Sequence

• EN: Find the 5th term of the geometric sequence: 2, 6, 18, 54, …
• FR: Trouve le 5e terme de la suite géométrique: 2, 6, 18, 54, …
• Choices: A) 108 B) 144 C) 162 D) 186
• Hint: aₙ = a₁ × rⁿ⁻¹ where r is the common ratio (e.g., first term 3, r=2: a₄ = 3×2³ = 24).
• Steps:
  • r = 6 ÷ 2 = 3. a₅ = 2 × 3⁴ = 2 × 81 = 162.
• Answer: 162

[Medium] Trigonometric Identity

• EN: Simplify: sin²(θ) + cos²(θ)
• FR: Simplifie: sin²(θ) + cos²(θ)
• Choices: A) 0 B) sin(θ) C) 1 D) 2
• Hint: This is a fundamental Pythagorean identity you must memorize (e.g., it holds for any angle θ).
• Steps:
  • The Pythagorean identity states sin²(θ) + cos²(θ) = 1.
• Answer: 1

[Medium] Financial Math — Annuity

• EN: You deposit $200 at the end of each year for 3 years at 4% annual interest. What is the total future value? (Approximate: $200 + $208 + $216.32 ≈ ?)
• FR: Tu déposes 200 $ à la fin de chaque année pendant 3 ans à un taux annuel de 4%. Quelle est la valeur future totale?
• Choices: A) $600.00 B) $624.32 C) $636.48 D) $648.00
• Hint: Each payment earns interest for the remaining time in the term. Add all future values (e.g., 3 payments of $100 at 5%: last payment=$100, middle=$105, first=$110.25, total=$315.25).
• Steps:
  • Year 1 payment: $200 × (1.04)² = $200 × 1.0816 = $216.32.
  • Year 2: $200 × 1.04 = $208. Year 3: $200. Total = $216.32 + $208 + $200 = $624.32.
• Answer: $624.32

[Hard] Logarithm — Solving an Equation

• EN: Solve for x: 3ˣ = 81
• FR: Résous pour x: 3ˣ = 81
• Choices: A) x = 3 B) x = 4 C) x = 5 D) x = 9
• Hint: Convert to logarithm or ask "3 to what power gives 81?" (e.g., 2ˣ = 32 → x = 5 because 2⁵ = 32).
• Steps:
  • 3¹ = 3, 3² = 9, 3³ = 27, 3⁴ = 81.
  • x = 4.
• Answer: x = 4

[Hard] Compound Interest — Solving for Time

• EN: How many years does it take for $500 to grow to $605.00 at 10% per year, compounded annually?
• FR: Combien d'années faut-il pour que 500 $ croissent à 605,00 $ à un taux de 10% par année, composé annuellement?
• Choices: A) 1 year B) 2 years C) 3 years D) 4 years
• Hint: Use A = P(1+r)ⁿ and test values of n (e.g., $300 at 10%: after 1 yr = $330, after 2 yr = $363).
• Steps:
  • Year 1: 500 × 1.10 = $550. Year 2: 550 × 1.10 = $605.00.
  • It takes 2 years.
• Answer: 2 years

[Easy] Permutations

• EN: 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) 48
• Hint: n! = n × (n−1) × (n−2) × … × 1 (e.g., 3 students: 3! = 3×2×1 = 6 ways).
• Steps:
  • 4! = 4 × 3 × 2 × 1 = 24.
• Answer: 24

[Easy] Derivative — Power Rule

• EN: If f(x) = x³, what is f'(x)?
• FR: Si f(x) = x³, quelle est f'(x)?
• Choices: A) x² B) 2x² C) 3x² D) 3x³
• Hint: Power rule: d/dx(xⁿ) = n·xⁿ⁻¹ (e.g., d/dx(x⁵) = 5x⁴).
• Steps:
  • Bring the exponent down: 3 × x³⁻¹ = 3x².
• Answer: 3x²

[Easy] Combinations

• EN: From a group of 5 students, 2 are chosen for a committee. How many combinations are possible?
• FR: Dans un groupe de 5 élèves, 2 sont choisis pour un comité. Combien de combinaisons sont possibles?
• Choices: A) 5 B) 8 C) 10 D) 20
• Hint: C(n,r) = n! / (r!(n−r)!) (e.g., C(4,2) = 4!/(2!×2!) = 6).
• Steps:
  • C(5,2) = 5! / (2! × 3!) = (5×4) / (2×1) = 20/2 = 10.
• Answer: 10

[Easy] Polynomial End Behaviour

• EN: For f(x) = −2x³ + 5x, as x → +∞, what does f(x) do?
• FR: Pour f(x) = −2x³ + 5x, quand x → +∞, que fait f(x)?
• Choices: A) Goes to +∞ B) Goes to −∞ C) Stays constant D) Approaches 0
• Hint: The leading term determines end behaviour: negative leading coefficient × odd degree → f(x) → −∞ as x → +∞ (e.g., −x³ → −∞).
• Steps:
  • Leading term is −2x³ (negative, odd degree).
  • As x → +∞, f(x) → −∞.
• Answer: Goes to −∞

[Medium] Derivative — Rate of Change

• EN: A ball's position is s(t) = 4t² + 3t. What is its velocity at t = 2?
• FR: La position d'une balle est s(t) = 4t² + 3t. Quelle est sa vitesse à t = 2?
• Choices: A) 15 m/s B) 17 m/s C) 19 m/s D) 21 m/s
• Hint: Velocity = s'(t). Use power rule, then substitute t (e.g., s(t) = 3t²+2t: s'(t)=6t+2; at t=1: v=8).
• Steps:
  • s'(t) = 8t + 3. At t = 2: s'(2) = 16 + 3 = 19.
• Answer: 19 m/s

[Medium] Probability Distribution

• EN: A fair die is rolled. What is the expected value (mean) of the outcome?
• FR: On lance un dé équitable. Quelle est la valeur espérée (moyenne) du résultat?
• Choices: A) 2.5 B) 3 C) 3.5 D) 4
• Hint: Expected value = sum of (each outcome × its probability) (e.g., coin flip: 0×0.5 + 1×0.5 = 0.5).
• Steps:
  • E = (1+2+3+4+5+6)/6 = 21/6 = 3.5.
• Answer: 3.5

[Medium] Vectors — Addition

• EN: Vector a = (3, 4) and vector b = (1, −2). What is a + b?
• FR: Le vecteur a = (3, 4) et le vecteur b = (1, −2). Quel est a + b?
• Choices: A) (2, 6) B) (4, 2) C) (3, 2) D) (4, 6)
• Hint: Add corresponding components: (x₁+x₂, y₁+y₂) (e.g., (2,5)+(3,−1) = (5,4)).
• Steps:
  • x: 3 + 1 = 4. y: 4 + (−2) = 2.
  • a + b = (4, 2).
• Answer: (4, 2)

[Medium] Rational Function — Vertical Asymptote

• EN: Where is the vertical asymptote of f(x) = 1/(x − 3)?
• FR: Où se trouve l'asymptote verticale de f(x) = 1/(x − 3)?
• Choices: A) x = −3 B) x = 0 C) x = 3 D) y = 3
• Hint: Set the denominator equal to zero and solve (e.g., f(x) = 1/(x+5): denominator=0 → x=−5).
• Steps:
  • Denominator = 0: x − 3 = 0 → x = 3.
  • Vertical asymptote at x = 3.
• Answer: x = 3

[Hard] Binomial Theorem

• EN: What is the coefficient of x² in the expansion of (x + 2)⁴?
• FR: Quel est le coefficient de x² dans le développement de (x + 2)⁴?
• Choices: A) 16 B) 24 C) 32 D) 48
• Hint: Use C(n,k) × aⁿ⁻ᵏ × bᵏ for each term (e.g., (x+1)³: x² term = C(3,1)×x²×1¹ = 3x²).
• Steps:
  • x² term: C(4,2) × x² × 2² = 6 × x² × 4 = 24x².
  • Coefficient = 24.
• Answer: 24

[Hard] Vectors — Dot Product

• EN: Find the dot product of u = (2, 5) and v = (3, −1).
• FR: Trouve le produit scalaire de u = (2, 5) et v = (3, −1).
• Choices: A) −1 B) 1 C) 6 D) 11
• Hint: Dot product = (x₁×x₂) + (y₁×y₂) (e.g., (4,3)·(2,1) = 8+3 = 11).
• Steps:
  • (2 × 3) + (5 × (−1)) = 6 + (−5) = 1.
• Answer: 1