Daily Math — 2026-06-28

[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 — like 8 + 3 means start at 8 and count 3 more.
• Steps:
  • Start at 7.
  • Count on 5 more: 8, 9, 10, 11, 12.
• Answer: 12

[Easy] Snowballs

• EN: There are 9 snowballs. Jake throws 4 away. How many are left?
• FR: Il y a 9 boules de neige. Jake en lance 4. Combien en reste-t-il ?
• Choices: A) 4 B) 5 C) 6 D) 7
• Hint: To subtract, count backwards — like 8 − 3 means start at 8 and 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 number comes next? 2, 4, 6, 8, ___
• FR: Compte par bonds de 2. Quel nombre vient ensuite ? 2, 4, 6, 8, ___
• Choices: A) 9 B) 10 C) 11 D) 12
• Hint: Skip counting by 2s means adding 2 each time — like 4, 6, 8, 10…
• Steps:
  • The pattern adds 2 each time.
  • 8 + 2 = 10.
• Answer: 10

[Easy] Coin Recognition

• EN: Which coin is worth 10 cents?
• FR: Quelle pièce vaut 10 cents ?
• 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] Hockey Goals

• EN: The Maple Leafs scored 6 goals on Monday and 8 goals on Tuesday. How many goals did they score in all?
• FR: Les Maple Leafs ont marqué 6 buts lundi et 8 buts mardi. Combien de buts ont-ils marqué en tout ?
• Choices: A) 12 B) 13 C) 14 D) 15
• Hint: Add the two numbers — like 5 + 7 means start at 5 and count on 7.
• Steps:
  • Start at 8 (bigger number).
  • Count on 6 more: 9, 10, 11, 12, 13, 14.
• Answer: 14

[Medium] Comparing Numbers

• EN: Which number is greater: 13 or 17?
• FR: Quel nombre est plus grand : 13 ou 17 ?
• Choices: A) 13 B) 17 C) They are equal D) 15
• Hint: The number with more tens is bigger. If tens are the same, look at the ones.
• Steps:
  • Both numbers have 1 ten.
  • Compare the ones: 3 ones vs. 7 ones — 7 is more.
• Answer: 17

[Medium] Skip Counting by 5s

• EN: Count by 5s. What number comes next? 5, 10, 15, 20, ___
• FR: Compte par bonds de 5. Quel nombre vient ensuite ? 5, 10, 15, 20, ___
• Choices: A) 22 B) 24 C) 25 D) 30
• Hint: Skip counting by 5s means adding 5 each time — like 10, 15, 20, 25…
• Steps:
  • The pattern adds 5 each time.
  • 20 + 5 = 25.
• Answer: 25

[Medium] Subtraction at the Rink

• EN: There are 15 kids at the skating rink. 7 go home. How many are left?
• FR: Il y a 15 enfants à la patinoire. 7 rentrent à la maison. Combien en reste-t-il ?
• Choices: A) 6 B) 7 C) 8 D) 9
• Hint: To subtract, think of a related addition fact — like 15 − 7 = ? means 7 + ? = 15.
• Steps:
  • Think: 7 + ? = 15.
  • 7 + 8 = 15, so 15 − 7 = 8.
• Answer: 8

[Hard] Two-Step Addition

• EN: Emma has 4 stickers. She gets 6 more from a friend and 3 more from her teacher. How many stickers does she have in all?
• FR: Emma a 4 autocollants. Elle en reçoit 6 d'une amie et 3 de son enseignante. Combien en a-t-elle en tout ?
• Choices: A) 11 B) 12 C) 13 D) 14
• Hint: Solve in two steps — like 3 + 4 = 7, then 7 + 2 = 9.
• Steps:
  • First: 4 + 6 = 10.
  • Then: 10 + 3 = 13.
• Answer: 13

[Hard] Counting to 100

• EN: Count by 10s. What number is missing? 10, 20, ___, 40, 50
• FR: Compte par bonds de 10. Quel nombre manque ? 10, 20, ___, 40, 50
• Choices: A) 25 B) 30 C) 35 D) 45
• Hint: Skip counting by 10s means adding 10 each time — like 20, 30, 40…
• Steps:
  • The pattern adds 10 each time.
  • 20 + 10 = 30.
• Answer: 30

[Easy] Addition Within 100

• EN: A store has 34 apples and 25 more arrive. How many apples are there now?
• FR: Un magasin a 34 pommes et 25 autres arrivent. Combien y a-t-il de pommes maintenant ?
• Choices: A) 57 B) 58 C) 59 D) 60
• Hint: Add tens first, then ones — like 32 + 21 = (30+20) + (2+1) = 53.
• Steps:
  • Tens: 30 + 20 = 50.
  • Ones: 4 + 5 = 9. Total: 59.
• Answer: 59

[Easy] Telling Time

• EN: The clock shows the hour hand on 3 and the minute hand on 12. What time is it?
• FR: L'horloge montre la grande aiguille sur le 12 et la petite sur le 3. Quelle heure est-il ?
• Choices: A) 2:00 B) 3:00 C) 3:30 D) 12:00
• Hint: When the minute hand is on 12, it is exactly on the hour.
• Steps:
  • Minute hand on 12 means exactly on the hour.
  • Hour hand on 3 means 3 o'clock.
• Answer: 3:00

[Easy] Measuring Length

• EN: A pencil is 15 cm long. A ruler is 30 cm long. How much longer is the ruler?
• FR: Un crayon mesure 15 cm. Une règle mesure 30 cm. De combien la règle est-elle plus longue ?
• Choices: A) 10 cm B) 15 cm C) 20 cm D) 45 cm
• Hint: Subtract the shorter length from the longer — like 40 − 10 = 30.
• Steps:
  • 30 − 15 = 15.
  • The ruler is 15 cm longer.
• Answer: 15 cm

[Easy] Counting Coins

• EN: Sophie has 2 dimes and 1 nickel. How much money does she have?
• FR: Sophie a 2 pièces de 10 cents et 1 pièce de 5 cents. Combien d'argent a-t-elle ?
• Choices: A) 20¢ B) 25¢ C) 30¢ D) 15¢
• Hint: Count the value of each coin — a dime = 10¢, nickel = 5¢.
• Steps:
  • 2 dimes = 20¢.
  • 20¢ + 5¢ = 25¢.
• Answer: 25¢

[Medium] Subtraction Within 100

• EN: There were 72 books in the library. 38 were borrowed. How many books remain?
• FR: Il y avait 72 livres dans la bibliothèque. 38 ont été empruntés. Combien reste-t-il de livres ?
• Choices: A) 32 B) 33 C) 34 D) 36
• Hint: Subtract ones first, regroup if needed — like 52 − 28: regroup to get 12 − 8 = 4, then 4 − 2 = 2, giving 24.
• Steps:
  • Ones: 2 − 8 needs regrouping. Borrow a ten: 12 − 8 = 4.
  • Tens: 6 − 3 = 3. Answer: 34.
• Answer: 34

[Medium] Telling Time (Half Hour)

• EN: It is 7:30 in the morning. School starts in 1 hour. What time does school start?
• FR: Il est 7h30 le matin. L'école commence dans 1 heure. À quelle heure l'école commence-t-elle ?
• Choices: A) 7:30 B) 8:00 C) 8:30 D) 9:00
• Hint: Add one hour to the time — like 5:30 plus 1 hour is 6:30.
• Steps:
  • 7:30 + 1 hour = 8:30.
  • School starts at 8:30.
• Answer: 8:30

[Medium] Patterns

• EN: What comes next in this pattern? 2, 4, 6, 8, 10, ___
• FR: Qu'est-ce qui vient ensuite dans cette suite ? 2, 4, 6, 8, 10, ___
• Choices: A) 11 B) 12 C) 13 D) 14
• Hint: Find the rule — look at what is added each time, like 1, 3, 5, 7 adds 2 each time.
• Steps:
  • The pattern adds 2 each time.
  • 10 + 2 = 12.
• Answer: 12

[Medium] Counting Coins to $1

• EN: Lucas has 3 quarters. How much money does he have?
• FR: Lucas a 3 pièces de 25 cents. Combien d'argent a-t-il ?
• Choices: A) 60¢ B) 65¢ C) 75¢ D) 80¢
• Hint: A quarter = 25¢. Count by 25s — like 25, 50, 75.
• Steps:
  • 25¢ + 25¢ = 50¢.
  • 50¢ + 25¢ = 75¢.
• Answer: 75¢

[Hard] Two-Step Problem

• EN: There are 45 students in the gym. 13 leave for recess and 8 more come in. How many students are in the gym now?
• FR: Il y a 45 élèves dans le gymnase. 13 partent en récréation et 8 autres entrent. Combien d'élèves sont dans le gymnase maintenant ?
• Choices: A) 38 B) 39 C) 40 D) 41
• Hint: Solve in two steps — first subtract, then add, like 50 − 12 = 38, then 38 + 5 = 43.
• Steps:
  • 45 − 13 = 32.
  • 32 + 8 = 40.
• Answer: 40

[Hard] Measuring and Comparing

• EN: A red ribbon is 48 cm long. A blue ribbon is 19 cm shorter. How long is the blue ribbon?
• FR: Un ruban rouge mesure 48 cm. Un ruban bleu est 19 cm plus court. Quelle est la longueur du ruban bleu ?
• Choices: A) 27 cm B) 28 cm C) 29 cm D) 30 cm
• Hint: "Shorter" means subtract — like a rope 60 cm long minus 15 cm shorter = 45 cm.
• Steps:
  • 48 − 19: regroup. 18 − 9 = 9, then 3 − 1 = 2. Wait — recheck.
  • 48 − 19: 48 − 20 = 28, then add 1 back = 29.
• Answer: 29 cm

[Easy] Multiplication by 2

• EN: There are 4 pairs of skates. How many skates are there in all?
• FR: Il y a 4 paires de patins. Combien y a-t-il de patins en tout ?
• Choices: A) 6 B) 8 C) 10 D) 12
• Hint: A pair means 2 — multiply like 3 pairs = 3 × 2 = 6.
• Steps:
  • 1 pair = 2 skates.
  • 4 × 2 = 8.
• Answer: 8

[Easy] Multiplication by 5

• EN: A hockey team has 5 players on the ice. How many players are on 3 teams?
• FR: Une équipe de hockey a 5 joueurs sur la glace. Combien de joueurs y a-t-il dans 3 équipes ?
• Choices: A) 10 B) 12 C) 15 D) 20
• Hint: 5 times a number — like 5 × 4 = 20.
• Steps:
  • 5 players × 3 teams.
  • 5 × 3 = 15.
• Answer: 15

[Easy] Fractions

• EN: A pizza is cut into 4 equal pieces. Lena eats 1 piece. What fraction did she eat?
• FR: Une pizza est coupée en 4 parts égales. Lena 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 is "pieces eaten" over "total pieces" — like 2 out of 5 = 2/5.
• Steps:
  • Total pieces = 4.
  • Lena ate 1 piece: 1/4.
• Answer: 1/4

[Easy] Basic Division

• EN: 12 apples are shared equally among 3 students. How many does each student get?
• FR: 12 pommes sont partagées également entre 3 élèves. Combien chaque élève en reçoit-il ?
• Choices: A) 3 B) 4 C) 5 D) 6
• Hint: Division is splitting into equal groups — like 10 ÷ 2 = 5.
• Steps:
  • 12 ÷ 3 = ?
  • 3 × 4 = 12, so 12 ÷ 3 = 4.
• Answer: 4

[Medium] Multiplication by 4

• EN: There are 6 boxes of Tim Hortons donuts. Each box has 4 donuts. How many donuts are there in all?
• FR: Il y a 6 boîtes de beignes Tim Hortons. Chaque boîte contient 4 beignes. Combien y a-t-il de beignes en tout ?
• Choices: A) 20 B) 22 C) 24 D) 26
• Hint: Multiply the number of boxes by donuts per box — like 5 × 3 = 15.
• Steps:
  • 6 boxes × 4 donuts each.
  • 6 × 4 = 24.
• Answer: 24

[Medium] Perimeter

• EN: A rectangle is 5 cm wide and 8 cm long. What is the perimeter?
• FR: Un rectangle a 5 cm de largeur et 8 cm de longueur. Quel est son périmètre ?
• Choices: A) 13 cm B) 20 cm C) 26 cm D) 40 cm
• Hint: Perimeter = add all sides. A rectangle has 2 lengths and 2 widths — like (3+7) × 2 = 20.
• Steps:
  • Perimeter = 2 × (length + width).
  • 2 × (8 + 5) = 2 × 13 = 26 cm.
• Answer: 26 cm

[Medium] Reading a Graph

• EN: A bar graph shows: hockey = 8 students, soccer = 5, swimming = 7. How many students are there in all?
• FR: Un diagramme à barres montre : hockey = 8 élèves, soccer = 5, natation = 7. Combien d'élèves y a-t-il en tout ?
• Choices: A) 18 B) 19 C) 20 D) 21
• Hint: Add all the bars together — like 4 + 6 + 3 = 13.
• Steps:
  • 8 + 5 = 13.
  • 13 + 7 = 20.
• Answer: 20

[Medium] Division with Multiplication Check

• EN: 30 stickers are shared equally among 5 students. How many stickers does each student get?
• FR: 30 autocollants sont partagés également entre 5 élèves. Combien chaque élève en reçoit-il ?
• Choices: A) 4 B) 5 C) 6 D) 7
• Hint: Think of the related multiplication — like 4 × 6 = 24, so 24 ÷ 4 = 6.
• Steps:
  • 30 ÷ 5 = ?
  • 5 × 6 = 30, so the answer is 6.
• Answer: 6

[Hard] Fraction Comparison

• EN: Which fraction is larger: 1/2 or 1/3?
• FR: Quelle fraction est plus grande : 1/2 ou 1/3 ?
• Choices: A) 1/3 B) 1/2 C) They are equal D) 2/3
• Hint: The bigger the denominator, the smaller each piece — like cutting a pie into 8 vs. 4 slices.
• Steps:
  • 1/2 means 1 piece out of 2 equal parts (bigger pieces).
  • 1/3 means 1 piece out of 3 equal parts (smaller pieces). So 1/2 > 1/3.
• Answer: 1/2

[Hard] Two-Step Multiplication

• EN: There are 3 bags of marbles. Each bag has 10 marbles. Maya takes 5 marbles out of one bag. How many marbles are left in all?
• FR: Il y a 3 sacs de billes. Chaque sac contient 10 billes. Maya prend 5 billes dans un sac. Combien de billes reste-t-il en tout ?
• Choices: A) 20 B) 25 C) 27 D) 28
• Hint: First find the total, then subtract — like 4 × 3 = 12, then 12 − 2 = 10.
• Steps:
  • Total marbles: 3 × 10 = 30.
  • 30 − 5 = 25.
• Answer: 25

[Easy] Multiplication Table

• EN: What is 7 × 8?
• FR: Combien font 7 × 8 ?
• Choices: A) 48 B) 54 C) 56 D) 64
• Hint: Use a known fact — like 7 × 7 = 49, then add one more 7.
• Steps:
  • 7 × 7 = 49.
  • 49 + 7 = 56.
• Answer: 56

[Easy] Decimal Place Value

• EN: In the number 4.73, which digit is in the tenths place?
• FR: Dans le nombre 4,73, quel chiffre est à la position des dixièmes ?
• Choices: A) 4 B) 7 C) 3 D) 0
• Hint: Tenths come right after the decimal point — like in 2.56, the tenths digit is 5.
• Steps:
  • 4 is in the ones place.
  • 7 is right after the decimal — it is in the tenths place.
• Answer: 7

[Easy] Area of a Rectangle

• EN: A room is 6 m long and 4 m wide. What is the area?
• FR: Une chambre a 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 = length × width — like 5 × 3 = 15 m².
• Steps:
  • Area = 6 × 4.
  • 6 × 4 = 24 m².
• Answer: 24 m²

[Easy] Long Division

• EN: 36 ÷ 4 = ?
• FR: 36 ÷ 4 = ?
• Choices: A) 7 B) 8 C) 9 D) 10
• Hint: Think of the related multiplication — like 4 × 8 = 32, so 32 ÷ 4 = 8.
• Steps:
  • 4 × 9 = 36.
  • So 36 ÷ 4 = 9.
• Answer: 9

[Medium] Long Division with Remainder

• EN: 47 ÷ 5 = ? (Find the quotient and remainder)
• FR: 47 ÷ 5 = ? (Trouve le quotient et le reste)
• Choices: A) 8 R3 B) 9 R2 C) 9 R3 D) 10 R2
• Hint: Divide, then multiply back and subtract — like 23 ÷ 4: 4 × 5 = 20, remainder = 3, so 5 R3.
• Steps:
  • 5 × 9 = 45.
  • 47 − 45 = 2, so quotient = 9, remainder = 2.
• Answer: 9 R2

[Medium] Comparing Fractions

• EN: Which fraction is larger: 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) 5/7
• Hint: Find a common denominator — like comparing 1/3 and 1/4 using twelfths.
• Steps:
  • Common denominator of 4 and 3 is 12.
  • 3/4 = 9/12 and 2/3 = 8/12. Since 9 > 8, 3/4 is larger.
• Answer: 3/4

[Medium] Elapsed Time

• EN: Practice starts at 2:15 p.m. and ends at 3:45 p.m. How long is practice?
• FR: La pratique commence à 14h15 et se termine à 15h45. Combien de temps dure la pratique ?
• Choices: A) 1 hour 15 minutes B) 1 hour 30 minutes C) 1 hour 45 minutes D) 2 hours
• Hint: Count from start to end in steps — like 1:10 to 2:40 is 1 hour 30 minutes.
• Steps:
  • From 2:15 to 3:15 = 1 hour.
  • From 3:15 to 3:45 = 30 more minutes. Total = 1 hour 30 minutes.
• Answer: 1 hour 30 minutes

[Medium] Decimal Operations

• EN: A notebook costs $3.45 and a pen costs $1.25. What is the total cost?
• FR: Un cahier coûte 3,45 $ et un stylo coûte 1,25 $. Quel est le coût total ?
• Choices: A) $4.60 B) $4.70 C) $4.80 D) $5.70
• Hint: Line up the decimal points when adding — like $2.30 + $1.40 = $3.70.
• Steps:
  • $3.45 + $1.25.
  • Cents: 45 + 25 = 70¢. Dollars: 3 + 1 = $4. Total: $4.70.
• Answer: $4.70

[Hard] Multi-Step Division

• EN: A school orders 95 books to share equally among 5 classrooms. How many books does each classroom get, and how many are left over?
• FR: Une école commande 95 livres à partager également entre 5 classes. Combien de livres chaque classe reçoit-elle et combien en reste-t-il ?
• Choices: A) 18 R5 B) 19 R0 C) 20 R5 D) 17 R10
• Hint: Divide, then check with multiplication — like 65 ÷ 5: 5 × 13 = 65, remainder 0.
• Steps:
  • 5 × 19 = 95.
  • 95 − 95 = 0. Each classroom gets 19 books with 0 remainder.
• Answer: 19 R0

[Hard] Area and Perimeter Combined

• EN: A garden is 9 m long and 6 m wide. What is the difference between the area and the perimeter?
• FR: Un jardin a 9 m de long et 6 m de large. Quelle est la différence entre l'aire et le périmètre ?
• Choices: A) 24 m B) 24 m² C) 24 D) 30
• Hint: Find area and perimeter separately, then subtract — like area 4×5=20, perimeter 2×(4+5)=18, difference = 2.
• Steps:
  • Area = 9 × 6 = 54 m².
  • Perimeter = 2 × (9 + 6) = 2 × 15 = 30 m.
  • Difference = 54 − 30 = 24.
• Answer: 24

[Easy] Multi-Digit Multiplication

• EN: What is 34 × 6?
• FR: Combien font 34 × 6 ?
• Choices: A) 194 B) 200 C) 204 D) 210
• Hint: Multiply ones first, then tens — like 23 × 4 = (20 × 4) + (3 × 4) = 80 + 12 = 92.
• Steps:
  • 34 × 6 = (30 × 6) + (4 × 6).
  • 180 + 24 = 204.
• Answer: 204

[Easy] Adding Fractions (Like Denominators)

• EN: 2/7 + 3/7 = ?
• FR: 2/7 + 3/7 = ?
• Choices: A) 5/14 B) 5/7 C) 6/7 D) 1
• Hint: Add numerators only, keep the denominator — like 1/5 + 2/5 = 3/5.
• Steps:
  • Add numerators: 2 + 3 = 5.
  • Keep denominator: 7. Answer: 5/7.
• Answer: 5/7

[Easy] Percentage Intro (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 — like 50% of 60 is 30.
• Steps:
  • 50% = 1/2.
  • 80 ÷ 2 = 40.
• Answer: 40

[Easy] Decimal Operations

• EN: 5.6 + 3.2 = ?
• FR: 5,6 + 3,2 = ?
• Choices: A) 8.6 B) 8.7 C) 8.8 D) 9.0
• Hint: Line up the decimals and add — like 4.3 + 2.5 = 6.8.
• Steps:
  • Ones: 5 + 3 = 8.
  • Tenths: 6 + 2 = 8. Answer: 8.8.
• Answer: 8.8

[Medium] Multi-Digit Division

• EN: 252 ÷ 6 = ?
• FR: 252 ÷ 6 = ?
• Choices: A) 40 B) 41 C) 42 D) 43
• Hint: Use long division — like 126 ÷ 3: 12 ÷ 3 = 4, bring down 6, 6 ÷ 3 = 2. Answer: 42.
• Steps:
  • 6 × 40 = 240.
  • 252 − 240 = 12. 12 ÷ 6 = 2. Answer: 42.
• Answer: 42

[Medium] Subtracting Fractions

• EN: 6/9 − 2/9 = ?
• FR: 6/9 − 2/9 = ?
• Choices: A) 4/9 B) 4/0 C) 8/9 D) 3/9
• Hint: Subtract numerators, keep denominator — like 5/8 − 2/8 = 3/8.
• Steps:
  • Subtract numerators: 6 − 2 = 4.
  • Keep denominator: 9. Answer: 4/9.
• Answer: 4/9

[Medium] Volume of Rectangular Prism

• EN: A box is 5 cm long, 4 cm wide, and 3 cm high. What is its volume?
• FR: Une boîte a 5 cm de long, 4 cm de large et 3 cm de hauteur. Quel est son volume ?
• Choices: A) 48 cm³ B) 60 cm³ C) 70 cm³ D) 12 cm³
• Hint: Volume = length × width × height — like 2 × 3 × 4 = 24 cm³.
• Steps:
  • Volume = 5 × 4 × 3.
  • 5 × 4 = 20. 20 × 3 = 60 cm³.
• Answer: 60 cm³

[Medium] Percentage (25%)

• EN: A $40 jacket is on sale for 25% off. How much is the discount?
• FR: Une veste de 40 $ est en solde à 25 % de rabais. Quel est le montant du rabais ?
• Choices: A) $5 B) $8 C) $10 D) $12
• Hint: 25% = 1/4. Find 1/4 of the price — like 25% of $60 is $60 ÷ 4 = $15.
• Steps:
  • 25% of $40 = $40 ÷ 4.
  • $40 ÷ 4 = $10.
• Answer: $10

[Hard] Multi-Step Fraction Problem

• EN: Emma read 3/8 of a book on Saturday and 2/8 on Sunday. If the book has 40 pages, how many pages did she read in total?
• FR: Emma a lu 3/8 d'un livre samedi et 2/8 dimanche. Si le livre a 40 pages, combien de pages a-t-elle lues en tout ?
• Choices: A) 20 pages B) 22 pages C) 24 pages D) 25 pages
• Hint: Add fractions first, then find that fraction of the total — like 2/6 + 1/6 = 3/6 = 1/2, then 1/2 of 30 = 15.
• Steps:
  • 3/8 + 2/8 = 5/8.
  • 5/8 of 40 = (40 ÷ 8) × 5 = 5 × 5 = 25 pages.
• Answer: 25 pages

[Hard] Decimal Multi-Step

• EN: Noah buys 3 hockey pucks at $2.75 each and pays with a $10 bill. How much change does he get?
• FR: Noah achète 3 rondelles de hockey à 2,75 $ chacune et paie avec un billet de 10 $. Combien de monnaie reçoit-il ?
• Choices: A) $1.25 B) $1.50 C) $1.75 D) $2.25
• Hint: Multiply, then subtract from payment — like 3 × $1.50 = $4.50, change from $10 is $5.50.
• Steps:
  • 3 × $2.75 = $8.25.
  • $10.00 − $8.25 = $1.75.
• Answer: $1.75

[Easy] Fraction Multiplication

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

[Easy] Percent of a Number

• EN: What is 10% of 90?
• FR: Combien font 10 % de 90 ?
• Choices: A) 7 B) 8 C) 9 D) 10
• Hint: 10% means divide by 10 — like 10% of 70 = 7.
• Steps:
  • 10% of 90 = 90 ÷ 10.
  • 90 ÷ 10 = 9.
• Answer: 9

[Easy] Integers Intro

• EN: Which is greater: −3 or −7?
• FR: Lequel est plus grand : −3 ou −7 ?
• Choices: A) −7 B) −3 C) They are equal D) 0
• Hint: On a number line, numbers to the right are greater — like −2 is greater than −5.
• Steps:
  • On a number line, −3 is to the right of −7.
  • So −3 > −7.
• Answer: −3

[Easy] Simple Algebraic Expression

• EN: What is the value of 3n when n = 4?
• FR: Quelle est la valeur de 3n quand n = 4 ?
• Choices: A) 7 B) 10 C) 12 D) 34
• Hint: Replace the letter with the number and multiply — like 5n when n = 3 means 5 × 3 = 15.
• Steps:
  • 3n = 3 × n.
  • 3 × 4 = 12.
• Answer: 12

[Medium] Ratio and Rate

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

[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) 2/3
• Hint: Dividing by a fraction means multiply by its reciprocal — like 2/3 ÷ 1/4 = 2/3 × 4/1 = 8/3.
• Steps:
  • Flip the second fraction: 1/2 becomes 2/1.
  • 3/4 × 2/1 = 6/4 = 3/2.
• Answer: 3/2

[Medium] Order of Operations (BEDMAS)

• EN: Solve: 3 + 4 × 2 − 1
• FR: Résous : 3 + 4 × 2 − 1
• Choices: A) 13 B) 10 C) 14 D) 12
• Hint: BEDMAS — do multiplication before addition/subtraction — like 2 + 3 × 4 = 2 + 12 = 14.
• Steps:
  • Multiply first: 4 × 2 = 8.
  • Then: 3 + 8 − 1 = 10.
• Answer: 10

[Medium] Percent of a Number

• EN: A pair of skates costs $80. They are on sale for 30% off. How much is saved?
• FR: Des patins coûtent 80 $. Ils sont en solde à 30 % de rabais. Combien économise-t-on ?
• Choices: A) $20 B) $24 C) $28 D) $32
• Hint: Find the percent — like 20% of $60 = 60 × 0.20 = $12.
• Steps:
  • 30% of $80 = 80 × 0.30.
  • 80 × 0.30 = $24.
• Answer: $24

[Hard] Multi-Step Ratio Problem

• EN: In a class of 30 students, the ratio of boys to girls is 2:3. How many girls are in the class?
• FR: Dans une classe de 30 élèves, le rapport garçons/filles est de 2:3. Combien y a-t-il de filles ?
• Choices: A) 12 B) 15 C) 18 D) 20
• Hint: Ratios split into parts — like 1:4 ratio in a group of 20: 4 parts each worth 4, so the "4 part" = 16.
• Steps:
  • Total parts: 2 + 3 = 5.
  • Each part = 30 ÷ 5 = 6. Girls = 3 × 6 = 18.
• Answer: 18

[Hard] BEDMAS with Integers

• EN: Solve: (−2 + 6) × 3 − 8 ÷ 2
• FR: Résous : (−2 + 6) × 3 − 8 ÷ 2
• Choices: A) 6 B) 8 C) 10 D) 12
• Hint: Solve brackets first, then multiply/divide, then add/subtract — like (3−1) × 4 + 2 = 8 + 2 = 10.
• Steps:
  • Brackets: −2 + 6 = 4.
  • 4 × 3 = 12 and 8 ÷ 2 = 4.
  • 12 − 4 = 8.
• Answer: 8

[Easy] Integer Addition

• EN: What is −5 + 9?
• FR: Combien font −5 + 9 ?
• Choices: A) −4 B) 4 C) 14 D) −14
• Hint: Start at the negative number and count up — like −3 + 7 means move 7 right on a number line = 4.
• Steps:
  • Start at −5.
  • Move 9 to the right: −5 + 9 = 4.
• Answer: 4

[Easy] Percentage Discount

• EN: A $50 jersey is 20% off. What is the sale price?
• FR: Un chandail de 50 $ est à 20 % de rabais. Quel est le prix de vente ?
• Choices: A) $35 B) $38 C) $40 D) $42
• Hint: Find the discount and subtract — like 10% of $60 = $6, sale price = $54.
• Steps:
  • 20% of $50 = $50 × 0.20 = $10.
  • Sale price = $50 − $10 = $40.
• Answer: $40

[Easy] Integer Subtraction

• EN: What is 3 − (−4)?
• FR: Combien font 3 − (−4) ?
• Choices: A) −1 B) 1 C) 7 D) −7
• Hint: Subtracting a negative is like adding — like 5 − (−2) = 5 + 2 = 7.
• Steps:
  • 3 − (−4) = 3 + 4.
  • 3 + 4 = 7.
• Answer: 7

[Easy] One-Step Linear Equation

• EN: Solve: x + 8 = 15
• FR: Résous : x + 8 = 15
• Choices: A) 5 B) 6 C) 7 D) 8
• Hint: Subtract the number from both sides — like n + 3 = 10 means n = 10 − 3 = 7.
• Steps:
  • x + 8 = 15.
  • x = 15 − 8 = 7.
• Answer: 7

[Medium] Percent Tax

• EN: A book costs $12.00. With 13% HST, what is the total price?
• FR: Un livre coûte 12,00 $. Avec 13 % de TVH, quel est le prix total ?
• Choices: A) $13.44 B) $13.56 C) $13.60 D) $14.00
• Hint: Tax = price × rate, then add — like $20 × 0.13 = $2.60, total = $22.60.
• Steps:
  • Tax = $12 × 0.13 = $1.56.
  • Total = $12.00 + $1.56 = $13.56.
• Answer: $13.56

[Medium] Surface Area

• EN: A rectangular box is 4 cm × 3 cm × 2 cm. What is the surface area?
• FR: Une boîte rectangulaire a 4 cm × 3 cm × 2 cm. Quelle est son aire totale ?
• Choices: A) 24 cm² B) 48 cm² C) 52 cm² D) 56 cm²
• Hint: SA = 2(lw + lh + wh) — like 2(3×2 + 3×1 + 2×1) = 2(6+3+2) = 22 cm².
• Steps:
  • SA = 2(lw + lh + wh) = 2(4×3 + 4×2 + 3×2).
  • = 2(12 + 8 + 6) = 2 × 26 = 52 cm².
• Answer: 52 cm²

[Medium] Integer Multiplication

• EN: What is (−6) × (−4)?
• FR: Combien font (−6) × (−4) ?
• Choices: A) −24 B) −10 C) 10 D) 24
• Hint: Negative × negative = positive — like (−3) × (−5) = 15.
• Steps:
  • Two negatives multiplied give a positive.
  • 6 × 4 = 24. Answer: 24.
• Answer: 24

[Medium] Probability

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

[Hard] Tip and Tax Combined

• EN: A restaurant bill is $45. You add a 15% tip and 13% HST on the original bill. What is the total amount paid?
• FR: Une note de restaurant est de 45 $. Tu ajoutes un pourboire de 15 % et une TVH de 13 % sur le montant original. Quel est le montant total payé ?
• Choices: A) $56.90 B) $57.60 C) $58.50 D) $59.40
• Hint: Calculate tip and tax separately, then add all three — like $30 bill + 10% tip ($3) + 13% tax ($3.90) = $36.90.
• Steps:
  • Tip = $45 × 0.15 = $6.75.
  • Tax = $45 × 0.13 = $5.85.
  • Total = $45 + $6.75 + $5.85 = $57.60.
• Answer: $57.60

[Hard] Two-Step Equation

• EN: Solve: 2x − 5 = 11
• FR: Résous : 2x − 5 = 11
• Choices: A) 6 B) 7 C) 8 D) 9
• Hint: Add to both sides first, then divide — like 3x − 2 = 10 means 3x = 12, x = 4.
• Steps:
  • 2x − 5 = 11.
  • 2x = 11 + 5 = 16.
  • x = 16 ÷ 2 = 8.
• Answer: 8

[Easy] Perfect Squares

• EN: What is √144?
• FR: Combien vaut √144 ?
• Choices: A) 10 B) 11 C) 12 D) 13
• Hint: Find a number that multiplies by itself to get the answer — like √81 = 9 because 9 × 9 = 81.
• Steps:
  • 12 × 12 = 144.
  • So √144 = 12.
• Answer: 12

[Easy] Mean (Average)

• EN: Find the mean of: 8, 12, 10, 6, 4
• FR: Trouve la moyenne de : 8, 12, 10, 6, 4
• Choices: A) 6 B) 7 C) 8 D) 10
• Hint: Add all values and divide by the count — like mean of 2, 4, 6 = (2+4+6) ÷ 3 = 4.
• Steps:
  • Sum = 8 + 12 + 10 + 6 + 4 = 40.
  • Mean = 40 ÷ 5 = 8.
• Answer: 8

[Easy] Two-Step Linear Equation

• EN: Solve: 3x + 2 = 14
• FR: Résous : 3x + 2 = 14
• Choices: A) 3 B) 4 C) 5 D) 6
• Hint: Subtract first, then divide — like 2x + 3 = 9 means 2x = 6, x = 3.
• Steps:
  • 3x + 2 = 14.
  • 3x = 12. x = 4.
• Answer: 4

[Easy] Percent Increase

• EN: A sweater cost $40 and now costs $50. What is the percent increase?
• FR: Un chandail coûtait 40 $ et coûte maintenant 50 $. Quel est le pourcentage d'augmentation ?
• Choices: A) 10% B) 20% C) 25% D) 30%
• Hint: Percent increase = (change ÷ original) × 100 — like a rise from $20 to $25 is ($5 ÷ $20) × 100 = 25%.
• Steps:
  • Change = $50 − $40 = $10.
  • ($10 ÷ $40) × 100 = 25%.
• Answer: 25%

[Medium] Pythagorean Theorem

• EN: A right triangle has legs of 3 cm and 4 cm. What is the hypotenuse?
• FR: Un triangle rectangle a des cathètes de 3 cm et 4 cm. Quelle est l'hypoténuse ?
• Choices: A) 4 cm B) 5 cm C) 6 cm D) 7 cm
• Hint: a² + b² = c² — like legs 6 and 8: 36 + 64 = 100, c = 10.
• Steps:
  • 3² + 4² = 9 + 16 = 25.
  • c = √25 = 5 cm.
• Answer: 5 cm

[Medium] Slope Introduction

• EN: A line passes through (0, 1) and (2, 5). What is the slope?
• FR: Une droite passe par (0, 1) et (2, 5). Quelle est la pente ?
• Choices: A) 1 B) 2 C) 3 D) 4
• Hint: Slope = rise ÷ run = (y₂ − y₁) ÷ (x₂ − x₁) — like (7−3) ÷ (2−0) = 4 ÷ 2 = 2.
• Steps:
  • Rise = 5 − 1 = 4.
  • Run = 2 − 0 = 2. Slope = 4 ÷ 2 = 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) 4 C) 5 D) 7
• Hint: Sort the numbers, then pick the middle value — like 2, 4, 6, 8, 10 → median = 6.
• Steps:
  • Sorted: 1, 3, 5, 7, 9.
  • Middle value (3rd of 5) = 5.
• Answer: 5

[Medium] Percent Decrease

• EN: A hockey stick dropped in price from $80 to $60. What is the percent decrease?
• FR: La valeur d'un bâton de hockey est passée de 80 $ à 60 $. Quel est le pourcentage de diminution ?
• Choices: A) 20% B) 25% C) 30% D) 33%
• Hint: Percent decrease = (decrease ÷ original) × 100 — like drop from $50 to $40 = ($10 ÷ $50) × 100 = 20%.
• Steps:
  • Decrease = $80 − $60 = $20.
  • ($20 ÷ $80) × 100 = 25%.
• Answer: 25%

[Hard] Pythagorean Theorem Applied

• EN: A 13 m ladder leans against a wall. The base is 5 m from the wall. How high up the wall does the ladder reach?
• FR: Une échelle de 13 m est appuyée contre un mur. La base est à 5 m du mur. À quelle hauteur l'échelle atteint-elle le mur ?
• Choices: A) 10 m B) 11 m C) 12 m D) 13 m
• Hint: Use c² − a² = b² — like hypotenuse 10, base 6: 100 − 36 = 64, height = 8.
• Steps:
  • 13² − 5² = 169 − 25 = 144.
  • Height = √144 = 12 m.
• Answer: 12 m

[Hard] Two-Step Equation with Fractions

• EN: Solve: x/3 + 4 = 9
• FR: Résous : x/3 + 4 = 9
• Choices: A) 10 B) 12 C) 15 D) 18
• Hint: Subtract first, then multiply both sides — like x/4 + 2 = 5 means x/4 = 3, x = 12.
• Steps:
  • x/3 + 4 = 9.
  • x/3 = 5.
  • x = 5 × 3 = 15.
• Answer: 15

[Easy] Linear Equation

• EN: Solve: 4x − 3 = 13
• FR: Résous : 4x − 3 = 13
• Choices: A) 3 B) 4 C) 5 D) 6
• Hint: Add to both sides, then divide — like 3x − 2 = 7 gives 3x = 9, x = 3.
• Steps:
  • 4x − 3 = 13.
  • 4x = 16. x = 4.
• Answer: 4

[Easy] Slope-Intercept Form

• EN: What is the slope of the line y = 3x + 7?
• FR: Quelle est la pente de la droite y = 3x + 7 ?
• Choices: A) 1 B) 3 C) 7 D) 10
• Hint: In y = mx + b, m is the slope — like in y = 5x + 2, slope = 5.
• Steps:
  • y = 3x + 7 is in y = mx + b form.
  • m = 3.
• Answer: 3

[Easy] Adding Polynomials

• EN: Add: (2x + 3) + (4x − 1)
• FR: Additionne : (2x + 3) + (4x − 1)
• Choices: A) 5x + 2 B) 6x + 2 C) 6x − 2 D) 8x + 2
• Hint: Combine like terms — like (3x + 4) + (2x + 1) = 5x + 5.
• Steps:
  • x terms: 2x + 4x = 6x.
  • Constants: 3 + (−1) = 2. Answer: 6x + 2.
• Answer: 6x + 2

[Easy] Linear Inequality

• EN: Solve: x + 5 > 12
• FR: Résous : x + 5 > 12
• Choices: A) x > 5 B) x > 7 C) x > 8 D) x > 17
• Hint: Solve like an equation, keep the inequality sign — like x + 3 > 10 means x > 7.
• Steps:
  • x + 5 > 12.
  • x > 12 − 5 = 7.
• Answer: x > 7

[Medium] Multiplying Polynomials

• EN: Expand: 3x(2x − 4)
• FR: Développe : 3x(2x − 4)
• Choices: A) 5x² − 12x B) 6x² − 12x C) 6x − 12x D) 6x² + 12x
• Hint: Multiply each term inside by the term outside — like 2x(x + 3) = 2x² + 6x.
• Steps:
  • 3x × 2x = 6x².
  • 3x × (−4) = −12x. Answer: 6x² − 12x.
• Answer: 6x² − 12x

[Medium] Similar Triangles

• EN: Two similar triangles have corresponding sides of 4 cm and 8 cm. If the shorter triangle has a height of 5 cm, what is the height of the larger triangle?
• FR: Deux triangles semblables ont des côtés correspondants de 4 cm et 8 cm. Si le plus petit a une hauteur de 5 cm, quelle est la hauteur du plus grand ?
• Choices: A) 8 cm B) 9 cm C) 10 cm D) 12 cm
• Hint: Set up a proportion — like 3/6 = 4/? means ? = 8.
• Steps:
  • Scale factor = 8 ÷ 4 = 2.
  • Height of larger = 5 × 2 = 10 cm.
• Answer: 10 cm

[Medium] Trigonometry SOH

• EN: In a right triangle, the opposite side = 6 and hypotenuse = 10. What is sin θ?
• FR: Dans un triangle rectangle, le côté opposé = 6 et l'hypoténuse = 10. Combien vaut sin θ ?
• Choices: A) 0.4 B) 0.5 C) 0.6 D) 0.8
• Hint: SOH: sin = opposite ÷ hypotenuse — like opposite 4, hypotenuse 5 → sin = 4/5 = 0.8.
• Steps:
  • sin θ = opposite ÷ hypotenuse.
  • sin θ = 6 ÷ 10 = 0.6.
• Answer: 0.6

[Medium] Graphing Lines

• EN: A line has slope 2 and y-intercept −3. Which equation represents it?
• FR: Une droite a une pente de 2 et une ordonnée à l'origine de −3. Quelle équation la représente ?
• Choices: A) y = −3x + 2 B) y = 2x − 3 C) y = 3x − 2 D) y = −2x + 3
• Hint: Use y = mx + b: m is slope, b is y-intercept — like slope 4, y-intercept 1 → y = 4x + 1.
• Steps:
  • m = 2 and b = −3.
  • y = 2x − 3.
• Answer: y = 2x − 3

[Hard] Statistics — Interpreting Data

• EN: A class has test scores: 55, 62, 70, 70, 85, 90, 92. What is the difference between the mean and the median?
• FR: Une classe a ces résultats d'examen : 55, 62, 70, 70, 85, 90, 92. Quelle est la différence entre la moyenne et la médiane ?
• Choices: A) 4.86 B) 3.57 C) 5.14 D) 2.43
• Hint: Mean = sum ÷ count; median = middle value when sorted. Then subtract.
• Steps:
  • Sum = 55 + 62 + 70 + 70 + 85 + 90 + 92 = 524. Mean = 524 ÷ 7 = 74.86.
  • Median (middle of 7) = 4th value = 70.
  • Difference = 74.86 − 70 = 4.86.
• Answer: 4.86

[Hard] Trigonometry — Finding a Side

• EN: In a right triangle, angle θ = 30°, and the hypotenuse = 20 cm. Find the length of the opposite side.
• FR: Dans un triangle rectangle, l'angle θ = 30° et l'hypoténuse = 20 cm. Trouve la longueur du côté opposé.
• Choices: A) 8 cm B) 9 cm C) 10 cm D) 12 cm
• Hint: sin θ = opposite ÷ hypotenuse, so opposite = hypotenuse × sin θ — like sin 45° × 14 ≈ 9.9 cm.
• Steps:
  • sin 30° = 0.5.
  • Opposite = 20 × 0.5 = 10 cm.
• Answer: 10 cm

[Easy] Factoring a 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 − 3) D) (x + 6)(x − 1)
• Hint: Find two numbers that multiply to 6 and add to 5 — like x² + 7x + 12: numbers 3 and 4 → (x+3)(x+4).
• Steps:
  • Need two numbers: product = 6, sum = 5.
  • 2 × 3 = 6 and 2 + 3 = 5. Answer: (x + 2)(x + 3).
• Answer: (x + 2)(x + 3)

[Easy] Trigonometry — Cosine

• EN: In a right triangle, adjacent = 8 and hypotenuse = 10. What is cos θ?
• FR: Dans un triangle rectangle, côté adjacent = 8 et hypoténuse = 10. Combien vaut cos θ ?
• Choices: A) 0.4 B) 0.6 C) 0.8 D) 1.0
• Hint: CAH: cos = adjacent ÷ hypotenuse — like adjacent 6, hypotenuse 10 → cos = 0.6.
• Steps:
  • cos θ = adjacent ÷ hypotenuse.
  • cos θ = 8 ÷ 10 = 0.8.
• Answer: 0.8

[Easy] System of Equations

• EN: Solve the system: x + y = 10 and x − y = 2. What is x?
• FR: Résous le système : x + y = 10 et x − y = 2. Combien vaut x ?
• Choices: A) 4 B) 5 C) 6 D) 8
• Hint: Add the two equations to eliminate y — like (x+y=8) + (x−y=4) gives 2x=12, x=6.
• Steps:
  • Add equations: 2x = 12.
  • x = 6.
• Answer: 6

[Easy] Volume of a Cylinder

• EN: A cylinder has radius 3 cm and height 10 cm. What is the 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) 188.4 cm³ B) 282.6 cm³ C) 94.2 cm³ D) 376.8 cm³
• Hint: V = π r² h — like r=2, h=5: V = 3.14 × 4 × 5 = 62.8 cm³.
• Steps:
  • V = π × 3² × 10.
  • V = 3.14 × 9 × 10 = 282.6 cm³.
• Answer: 282.6 cm³

[Medium] Completing the Square

• EN: Solve by completing the square: x² + 4x = 12
• FR: Résous en complétant le carré : x² + 4x = 12
• Choices: A) x = 2 or x = −6 B) x = 3 or x = −4 C) x = 4 or x = −3 D) x = 6 or x = −2
• Hint: Add (b/2)² to both sides — like x² + 6x: add 9 → (x+3)² = something.
• Steps:
  • x² + 4x + 4 = 12 + 4 → (x + 2)² = 16.
  • x + 2 = ±4. x = 2 or x = −6.
• Answer: x = 2 or x = −6

[Medium] Circle Geometry

• EN: A circle has a radius of 7 cm. What is the area? (Use π ≈ 3.14)
• FR: Un cercle a un rayon de 7 cm. Quelle est son aire ? (Utilise π ≈ 3,14)
• Choices: A) 44.0 cm² B) 153.86 cm² C) 153.94 cm² D) 154.0 cm²
• Hint: A = π r² — like r=5: A = 3.14 × 25 = 78.5 cm².
• Steps:
  • A = π × 7².
  • A = 3.14 × 49 = 153.86 cm².
• Answer: 153.86 cm²

[Medium] System of Equations — Substitution

• EN: Solve: y = 2x and x + y = 12. What is x?
• FR: Résous : y = 2x et x + y = 12. Combien vaut x ?
• Choices: A) 2 B) 3 C) 4 D) 6
• Hint: Substitute y = 2x into the second equation — like y = 3x and x + y = 8 gives x + 3x = 8, 4x = 8, x = 2.
• Steps:
  • Substitute: x + 2x = 12.
  • 3x = 12. x = 4.
• Answer: 4

[Medium] Trigonometry — Finding an Angle

• EN: In a right triangle, opposite = 5 and adjacent = 5. What is angle θ?
• FR: Dans un triangle rectangle, côté opposé = 5 et côté adjacent = 5. Quel est l'angle θ ?
• Choices: A) 30° B) 45° C) 60° D) 90°
• Hint: tan θ = opposite ÷ adjacent — like tan θ = 1 when both sides are equal → θ = 45°.
• Steps:
  • tan θ = 5 ÷ 5 = 1.
  • arctan(1) = 45°.
• Answer: 45°

[Hard] Quadratic Formula

• EN: Solve using the quadratic formula: x² − 5x + 6 = 0
• FR: Résous à l'aide de la formule quadratique : x² − 5x + 6 = 0
• Choices: A) x = 1 or x = 6 B) x = 2 or x = 3 C) x = −2 or x = −3 D) x = 3 or x = 5
• Hint: x = (−b ± √(b²−4ac)) ÷ 2a — like x²−7x+12=0 gives (7 ± √(49−48))/2 = (7±1)/2 = 4 or 3.
• Steps:
  • a=1, b=−5, c=6. Discriminant = 25 − 24 = 1.
  • x = (5 ± 1) ÷ 2 = 3 or 2.
• Answer: x = 2 or x = 3

[Hard] Surface Area of a Cone

• EN: A cone has radius 6 cm and slant height 10 cm. What is the total surface area? (Use π ≈ 3.14)
• FR: Un cône a un rayon de 6 cm et une apothème de 10 cm. Quelle est son aire totale ? (Utilise π ≈ 3,14)
• Choices: A) 188.4 cm² B) 301.4 cm² C) 376.8 cm² D) 452.2 cm²
• Hint: SA = π r² + π r l — like r=4, l=8: 3.14×16 + 3.14×4×8 = 50.24 + 100.48 = 150.72 cm².
• Steps:
  • Base: π × 6² = 3.14 × 36 = 113.04 cm².
  • Lateral: π × 6 × 10 = 3.14 × 60 = 188.4 cm².
  • Total = 113.04 + 188.4 = 301.44 ≈ 301.4 cm².
• Answer: 301.4 cm²

[Easy] Exponential Function

• EN: A bacteria doubles every hour. If you start with 4 bacteria, how many are there after 3 hours?
• FR: Une bactérie double chaque heure. Si tu commences avec 4 bactéries, combien y en a-t-il après 3 heures ?
• Choices: A) 12 B) 16 C) 32 D) 64
• Hint: Multiply by the growth factor each time — like 3 × 2³ = 3 × 8 = 24 for starting value 3.
• Steps:
  • After 1 hour: 4 × 2 = 8.
  • After 2 hours: 8 × 2 = 16. After 3 hours: 16 × 2 = 32.
• Answer: 32

[Easy] Logarithm Intro

• EN: What is log₂(8)?
• FR: Combien vaut log₂(8) ?
• Choices: A) 2 B) 3 C) 4 D) 8
• Hint: log base b of x asks "what power of b gives x?" — like log₃(27) = 3 because 3³ = 27.
• Steps:
  • 2? = 8.
  • 2³ = 8, so log₂(8) = 3.
• Answer: 3

[Easy] Arithmetic Sequence

• EN: What is the 6th term of the sequence: 3, 7, 11, 15, …?
• FR: Quel est le 6e terme de la suite : 3, 7, 11, 15, … ?
• Choices: A) 19 B) 21 C) 23 D) 25
• Hint: Use aₙ = a₁ + (n−1)d — like in sequence 5, 8, 11…, d=3, so a₆ = 5 + 5×3 = 20.
• Steps:
  • d = 4. a₆ = 3 + (6−1) × 4.
  • a₆ = 3 + 20 = 23.
• Answer: 23

[Easy] Compound Interest

• EN: $1000 is invested at 5% per year compounded annually for 2 years. What is the total amount?
• FR: 1 000 $ sont investis à 5 % par an, composé annuellement pendant 2 ans. Quel est le montant total ?
• Choices: A) $1,100.00 B) $1,102.50 C) $1,105.00 D) $1,110.25
• Hint: A = P(1 + r)ⁿ — like $500 at 4% for 2 years = 500 × 1.04² = 500 × 1.0816 = $540.80.
• Steps:
  • A = 1000 × (1.05)².
  • 1.05² = 1.1025. A = $1,102.50.
• Answer: $1,102.50

[Medium] Quadratic Function — Vertex

• EN: What is the vertex of the parabola y = x² − 4x + 7?
• FR: Quel est le sommet de la parabole y = x² − 4x + 7 ?
• Choices: A) (2, 3) B) (−2, 3) C) (2, −3) D) (4, 7)
• Hint: Vertex x = −b/(2a), then substitute — like y = x²−6x+10: x = 3, y = 9−18+10 = 1, vertex (3,1).
• Steps:
  • x = −(−4)/(2×1) = 4/2 = 2.
  • y = 4 − 8 + 7 = 3. Vertex: (2, 3).
• Answer: (2, 3)

[Medium] Trigonometric Identity

• EN: Simplify: sin²θ + cos²θ
• FR: Simplifie : sin²θ + cos²θ
• Choices: A) 0 B) 2 C) 1 D) sin(2θ)
• Hint: This is the fundamental Pythagorean identity — always true for any angle.
• Steps:
  • sin²θ + cos²θ is the Pythagorean identity.
  • It always equals 1.
• Answer: 1

[Medium] Geometric Sequence

• EN: Find the sum of the first 4 terms of the geometric sequence: 2, 6, 18, 54, …
• FR: Trouve la somme des 4 premiers termes de la suite géométrique : 2, 6, 18, 54, …
• Choices: A) 78 B) 80 C) 82 D) 84
• Hint: S = a(rⁿ−1)/(r−1) — like 3, 9, 27: a=3, r=3, n=3: S = 3(27−1)/(3−1) = 39.
• Steps:
  • S = 2 + 6 + 18 + 54.
  • 2 + 6 = 8. 8 + 18 = 26. 26 + 54 = 80.
• Answer: 80

[Medium] Financial Math — Annuity

• EN: You deposit $200 per month for 3 months at 0% interest. What is the total saved?
• FR: Tu déposes 200 $ par mois pendant 3 mois à un taux d'intérêt de 0 %. Quel est le montant total épargné ?
• Choices: A) $400 B) $500 C) $600 D) $650
• Hint: Simple annuity with 0% interest — just multiply payment by number of periods.
• Steps:
  • $200 × 3 = $600.
  • Total saved = $600.
• Answer: $600

[Hard] Logarithm Equation

• EN: Solve: log₃(x) = 4
• FR: Résous : log₃(x) = 4
• Choices: A) 12 B) 64 C) 81 D) 343
• Hint: Convert to exponential form — log_b(x) = n means b^n = x, like log₂(x)=5 means x=32.
• Steps:
  • log₃(x) = 4 means 3⁴ = x.
  • 3⁴ = 81.
• Answer: 81

[Hard] Compound Interest — Solving for n

• EN: How many years does it take for $500 to grow to $665.50 at 10% interest compounded annually? (Hint: 1.1² = 1.21, 1.1³ = 1.331)
• FR: En combien d'années 500 $ deviennent-ils 665,50 $ à un taux de 10 % composé annuellement ? (Indice : 1,1² = 1,21 ; 1,1³ = 1,331)
• Choices: A) 2 years B) 3 years C) 4 years D) 5 years
• Hint: Use A = P(1+r)ⁿ and test values — like $200 at 5%: 200×1.05³=231.52.
• Steps:
  • 500 × (1.1)ⁿ = 665.50.
  • (1.1)ⁿ = 1.331. Since 1.1³ = 1.331, n = 3.
• Answer: 3 years

[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 placer en file ?
• Choices: A) 12 B) 16 C) 24 D) 32
• Hint: Permutations of n items = n! — like 3 students: 3! = 3×2×1 = 6 ways.
• Steps:
  • 4! = 4 × 3 × 2 × 1.
  • = 24.
• Answer: 24

[Easy] Derivative Intro — Power Rule

• EN: If f(x) = x³, what is f'(x)?
• FR: Si f(x) = x³, combien vaut f'(x) ?
• Choices: A) x² B) 2x² C) 3x² D) 3x³
• Hint: Power rule: d/dx(xⁿ) = nxⁿ⁻¹ — like d/dx(x⁴) = 4x³.
• Steps:
  • Bring down the exponent: 3.
  • Reduce power by 1: x². So f'(x) = 3x².
• Answer: 3x²

[Easy] Combinations

• 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: C(n,r) = n!/(r!(n−r)!) — like 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 Function — Degree

• EN: What is the degree of the polynomial: 3x⁴ − 2x² + 7x − 1?
• FR: Quel est le degré du polynôme : 3x⁴ − 2x² + 7x − 1 ?
• Choices: A) 1 B) 2 C) 3 D) 4
• Hint: The degree is the highest exponent — like 5x³ + 2x − 8 has degree 3.
• Steps:
  • The highest power of x is x⁴.
  • Degree = 4.
• Answer: 4

[Medium] Derivative — Rate of Change

• EN: If f(x) = 2x² + 3x, what is the instantaneous rate of change at x = 2?
• FR: Si f(x) = 2x² + 3x, quel est le taux de variation instantané en x = 2 ?
• Choices: A) 9 B) 11 C) 13 D) 14
• Hint: Find f'(x) using the power rule, then substitute — like f(x)=3x²+1, f'(x)=6x, at x=2: f'(2)=12.
• Steps:
  • f'(x) = 4x + 3.
  • f'(2) = 4(2) + 3 = 8 + 3 = 11.
• Answer: 11

[Medium] Probability Distribution

• EN: A fair coin is flipped 3 times. What is the probability of getting exactly 2 heads?
• FR: Une pièce équilibrée est lancée 3 fois. Quelle est la probabilité d'obtenir exactement 2 faces ?
• Choices: A) 1/4 B) 1/3 C) 3/8 D) 1/2
• Hint: Use C(n,r) × pʳ × (1−p)ⁿ⁻ʳ — like C(3,1)×(0.5)¹×(0.5)²=3/8 for 1 head in 3 flips.
• Steps:
  • P = C(3,2) × (1/2)² × (1/2)¹.
  • = 3 × 1/4 × 1/2 = 3/8.
• Answer: 3/8

[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). Combien vaut a + b ?
• Choices: A) (4, 2) B) (4, 6) C) (2, 6) D) (2, 2)
• Hint: Add corresponding components — like (2,5) + (3,−1) = (5,4).
• Steps:
  • x-components: 3 + 1 = 4.
  • y-components: 4 + (−2) = 2. Answer: (4, 2).
• Answer: (4, 2)

[Medium] Rational Function — Asymptote

• EN: For f(x) = 1/(x − 3), what is the vertical asymptote?
• FR: Pour f(x) = 1/(x − 3), quelle est l'asymptote verticale ?
• Choices: A) x = −3 B) x = 0 C) x = 1 D) x = 3
• Hint: Set the denominator equal to zero — like 1/(x+5): x + 5 = 0, so x = −5.
• Steps:
  • Set denominator to zero: x − 3 = 0.
  • x = 3.
• Answer: x = 3

[Hard] Permutations with Restrictions

• EN: How many 4-digit codes can be made from digits 1–6 if no digit is repeated and the code must start with an odd digit?
• FR: Combien de codes à 4 chiffres peut-on former avec les chiffres 1 à 6, sans répétition, si le code doit commencer par un chiffre impair ?
• Choices: A) 120 B) 180 C) 240 D) 360
• Hint: Odd digits from 1–6 are 1, 3, 5 (3 choices). Then fill remaining spots with what's left.
• Steps:
  • First digit (odd): 3 choices (1, 3, or 5).
  • Remaining 3 spots from 5 remaining digits: 5 × 4 × 3 = 60.
  • Total = 3 × 60 = 180.
• Answer: 180

[Hard] Derivative Applied — Optimization

• EN: A rectangular garden has a perimeter of 24 m. What dimensions maximize the area?
• FR: Un jardin rectangulaire a un périmètre de 24 m. Quelles dimensions maximisent l'aire ?
• Choices: A) 4 m × 8 m B) 5 m × 7 m C) 6 m × 6 m D) 3 m × 9 m
• Hint: For a fixed perimeter, area is maximized when the shape is a square — A = x(12−x), find the vertex.
• Steps:
  • Perimeter 24: 2l + 2w = 24, so l + w = 12.
  • A = l × w = l(12 − l). Maximize: A'= 12 − 2l = 0 → l = 6, w = 6.
• Answer: 6 m × 6 m