Daily Math — 2026-10-10

[Easy] Counting Apples

• EN: There are 7 apples on the table. Emma puts 5 more apples on the table. How many apples are there now?
• FR: Il y a 7 pommes sur la table. Emma met 5 pommes de plus sur la table. Combien de pommes y a-t-il maintenant ?
• Choices: A) 10 B) 11 C) 12 D) 13
• Hint: To add, count on from the bigger number — like 6 + 3: start at 6, count 3 more: 7, 8, 9.
• Steps:
  • Start at 7.
  • Count on 5 more: 8, 9, 10, 11, 12.
  • So the total is 12.
• Answer: 12

[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 10, 12, 14.
• Steps:
  • The pattern adds 2 each time.
  • 8 + 2 = 10.
  • So the next number is 10.
• Answer: 10

[Easy] Comparing Numbers

• EN: Which number is greater: 14 or 9?
• FR: Quel nombre est plus grand : 14 ou 9 ?
• Choices: A) 9 B) 14 C) Both are equal D) Neither
• Hint: A number with more tens is greater — like 12 is greater than 7 because 12 has a ten.
• Steps:
  • 14 has 1 ten and 4 ones.
  • 9 has 0 tens and 9 ones.
  • A number with more tens is greater, so 14 is greater.
• Answer: 14

[Easy] Coin Recognition

• EN: Liam has one dime. How many cents does he have?
• FR: Liam a une pièce de dix cents. Combien de cents a-t-il ?
• Choices: A) 1 cent B) 5 cents C) 10 cents D) 25 cents
• Hint: A nickel is worth 5 cents, a dime is worth 10 cents, a quarter is worth 25 cents.
• Steps:
  • A dime is worth 10 cents.
  • Liam has one dime, so he has 10 cents.
• Answer: 10 cents

[Medium] Subtraction Story

• EN: There are 15 birds sitting on a fence. 6 birds fly away. How many birds are left?
• FR: Il y a 15 oiseaux sur une clôture. 6 oiseaux s'envolent. Combien d'oiseaux restent-il ?
• Choices: A) 7 B) 8 C) 9 D) 21
• Hint: To subtract, count back — like 12 − 4: start at 12, count back 4: 11, 10, 9, 8.
• Steps:
  • Start at 15.
  • Count back 6: 14, 13, 12, 11, 10, 9.
  • So 9 birds are left.
• Answer: 9

[Medium] Skip Counting by 5s

• EN: Count by 5s. What number comes next: 5, 10, 15, ___?
• FR: Compte par bonds de 5. Quel nombre vient ensuite : 5, 10, 15, ___ ?
• Choices: A) 16 B) 18 C) 20 D) 25
• Hint: Skip counting by 5s means adding 5 each time — like 20, 25, 30.
• Steps:
  • The pattern adds 5 each time.
  • 15 + 5 = 20.
  • So the next number is 20.
• Answer: 20

[Medium] Addition within 20

• EN: Priya has 8 crayons and her friend gives her 9 more. How many crayons does Priya have now?
• FR: Priya a 8 crayons et son amie lui en donne 9 de plus. Combien de crayons Priya a-t-elle maintenant ?
• Choices: A) 15 B) 16 C) 17 D) 18
• Hint: Use "make ten" — like 7 + 6: take 3 from 6 to make 7 into 10, then add the leftover 3: 10 + 3 = 13.
• Steps:
  • 8 + 9: take 2 from 9 to make 8 into 10.
  • 10 + 7 = 17.
  • So Priya has 17 crayons.
• Answer: 17

[Medium] Counting to 100

• EN: What number comes just before 50?
• FR: Quel nombre vient juste avant 50 ?
• Choices: A) 40 B) 48 C) 49 D) 51
• Hint: The number just before any number is one less — like the number before 30 is 29.
• Steps:
  • One less than 50 is 49.
  • So the number just before 50 is 49.
• Answer: 49

[Hard] Adding Three Numbers

• EN: Noah scores 6 goals on Monday, 7 goals on Tuesday, and 4 goals on Wednesday. How many goals did he score altogether?
• FR: Noah marque 6 buts lundi, 7 buts mardi et 4 buts mercredi. Combien de buts a-t-il marqués en tout ?
• Choices: A) 15 B) 16 C) 17 D) 18
• Hint: When adding three numbers, look for pairs that make 10 first — like 3 + 7 + 5: 3 + 7 = 10, then 10 + 5 = 15.
• Steps:
  • Look for a pair that makes 10: 6 + 4 = 10.
  • Then add 7: 10 + 7 = 17.
  • So Noah scored 17 goals altogether.
• Answer: 17

[Hard] Coins and Value

• EN: Mia has 2 nickels and 1 dime. How many cents does she have in total?
• FR: Mia a 2 pièces de cinq cents et 1 pièce de dix cents. Combien de cents a-t-elle en tout ?
• Choices: A) 15 cents B) 20 cents C) 25 cents D) 30 cents
• Hint: To find the total, add each coin's value — like 1 nickel + 1 dime = 5 + 10 = 15 cents.
• Steps:
  • 2 nickels = 5 + 5 = 10 cents.
  • 1 dime = 10 cents.
  • 10 + 10 = 20 cents total.
• Answer: 20 cents

[Easy] Adding within 100

• EN: There are 34 students in one class and 25 in another. How many students are there altogether?
• FR: Il y a 34 élèves dans une classe et 25 dans une autre. Combien d'élèves y a-t-il en tout ?
• Choices: A) 57 B) 59 C) 61 D) 69
• Hint: Add the tens first, then the ones — like 21 + 36: 20 + 30 = 50, then 1 + 6 = 7, so 57.
• Steps:
  • Tens: 30 + 20 = 50.
  • Ones: 4 + 5 = 9.
  • 50 + 9 = 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 and the hour hand points to a number, it is that number o'clock — like the hour hand on 7 means 7:00.
• Steps:
  • The hour hand points to 3.
  • The minute hand points to 12, meaning exactly on the hour.
  • The time is 3:00.
• Answer: 3:00

[Easy] Measuring Length

• EN: A pencil is 15 cm long. A pen is 12 cm long. Which one is longer?
• FR: Un crayon mesure 15 cm de long. Un stylo mesure 12 cm de long. Lequel est le plus long ?
• Choices: A) The pen B) The pencil C) They are the same length D) Neither one
• Hint: The larger number of centimetres means the longer object — like 18 cm is longer than 14 cm.
• Steps:
  • 15 cm is greater than 12 cm.
  • So the pencil is longer.
• Answer: The pencil

[Easy] Subtraction within 100

• EN: A store has 80 hockey cards. It sells 30 cards. How many cards are left?
• FR: Un magasin a 80 cartes de hockey. Il vend 30 cartes. Combien de cartes reste-t-il ?
• Choices: A) 40 B) 50 C) 60 D) 70
• Hint: Subtract tens from tens — like 90 − 40 = 50.
• Steps:
  • 80 − 30: subtract the tens: 8 tens − 3 tens = 5 tens.
  • 5 tens = 50.
  • So 50 cards are left.
• Answer: 50

[Medium] Telling Time — Half-Hour

• EN: The clock shows half past 6. What time does the clock show?
• FR: L'horloge indique six heures et demie. Quelle heure l'horloge montre-t-elle ?
• Choices: A) 5:30 B) 6:00 C) 6:30 D) 7:00
• Hint: Half past means 30 minutes after the hour — like half past 4 is 4:30.
• Steps:
  • Half past 6 means 30 minutes after 6.
  • That is 6:30.
• Answer: 6:30

[Medium] Counting Coins

• EN: Chloe has 1 quarter and 2 dimes. How many cents does she have?
• FR: Chloé a 1 pièce de 25 cents et 2 pièces de 10 cents. Combien de cents a-t-elle ?
• Choices: A) 35 cents B) 40 cents C) 45 cents D) 55 cents
• Hint: Add each coin's value — like 1 quarter + 1 dime = 25 + 10 = 35 cents.
• Steps:
  • 1 quarter = 25 cents.
  • 2 dimes = 10 + 10 = 20 cents.
  • 25 + 20 = 45 cents.
• Answer: 45 cents

[Medium] Simple Patterns

• EN: Look at this pattern: 10, 20, 30, 40, ___. What comes next?
• FR: Regarde ce motif : 10, 20, 30, 40, ___. Qu'est-ce qui vient ensuite ?
• Choices: A) 41 B) 45 C) 50 D) 60
• Hint: Find what is being added each time — like 5, 10, 15: each number goes up by 5.
• Steps:
  • Each number increases by 10.
  • 40 + 10 = 50.
  • So the next number is 50.
• Answer: 50

[Medium] Adding with Regrouping

• EN: A baker makes 47 muffins in the morning and 36 muffins in the afternoon. How many muffins did the baker make in all?
• FR: Un boulanger fait 47 muffins le matin et 36 muffins l'après-midi. Combien de muffins le boulanger a-t-il faits en tout ?
• Choices: A) 73 B) 83 C) 84 D) 93
• Hint: Add ones first, then tens, regrouping if the ones sum is 10 or more — like 38 + 25: 8 + 5 = 13, write 3 carry 1; 3 + 2 + 1 = 6; total 63.
• Steps:
  • Ones: 7 + 6 = 13; write 3, carry 1.
  • Tens: 4 + 3 + 1 = 8.
  • So the total is 83.
• Answer: 83

[Hard] Subtracting with Regrouping

• EN: A school library had 92 books. Students borrowed 48 books. How many books are still on the shelf?
• FR: La bibliothèque de l'école avait 92 livres. Les élèves en ont emprunté 48. Combien de livres sont encore sur l'étagère ?
• Choices: A) 34 B) 44 C) 46 D) 54
• Hint: Regroup when the top ones digit is smaller — like 72 − 35: regroup 72 as 6 tens and 12 ones; 12 − 5 = 7; 6 − 3 = 3; answer is 37.
• Steps:
  • Ones: 2 < 8, so regroup: 92 becomes 8 tens and 12 ones.
  • Ones: 12 − 8 = 4.
  • Tens: 8 − 4 = 4; total is 44.
• Answer: 44

[Hard] Measuring and Comparing

• EN: A ribbon is 85 cm long. Maya cuts off 38 cm. How many centimetres of ribbon are left?
• FR: Un ruban mesure 85 cm de long. Maya en coupe 38 cm. Combien de centimètres de ruban reste-t-il ?
• Choices: A) 37 cm B) 47 cm C) 53 cm D) 57 cm
• Hint: Regroup when needed — like 64 − 29: regroup 64 as 5 tens and 14 ones; 14 − 9 = 5; 5 − 2 = 3; answer is 35.
• Steps:
  • Ones: 5 < 8, so regroup: 85 becomes 7 tens and 15 ones.
  • Ones: 15 − 8 = 7.
  • Tens: 7 − 3 = 4; total is 47 cm.
• Answer: 47 cm

[Easy] Multiplication Table of 5

• EN: What is 5 × 6?
• FR: Combien font 5 × 6 ?
• Choices: A) 25 B) 30 C) 35 D) 40
• Hint: Count by 5s six times — like 5 × 4: 5, 10, 15, 20.
• Steps:
  • Count by 5s: 5, 10, 15, 20, 25, 30.
  • So 5 × 6 = 30.
• Answer: 30

[Easy] Basic Fractions

• EN: A pizza is cut into 4 equal pieces. Ella eats 1 piece. What fraction of the pizza did Ella eat?
• FR: Une pizza est coupée en 4 morceaux égaux. Ella mange 1 morceau. Quelle fraction de la pizza Ella a-t-elle mangée ?
• Choices: A) 1/2 B) 1/3 C) 1/4 D) 1/5
• Hint: A fraction is the part eaten over the total number of equal parts — like 1 piece out of 3 equal pieces is 1/3.
• Steps:
  • The pizza has 4 equal pieces.
  • Ella eats 1 piece.
  • The fraction is 1 out of 4, which is 1/4.
• Answer: 1/4

[Easy] Multiplication Table of 2

• EN: What is 2 × 8?
• FR: Combien font 2 × 8 ?
• Choices: A) 10 B) 14 C) 16 D) 18
• Hint: Multiplying by 2 is the same as doubling — like 2 × 7 = 7 + 7 = 14.
• Steps:
  • 2 × 8 means double 8.
  • 8 + 8 = 16.
  • So 2 × 8 = 16.
• Answer: 16

[Easy] Basic Division

• EN: 20 apples are shared equally among 4 children. How many apples does each child get?
• FR: 20 pommes sont partagées également entre 4 enfants. Combien de pommes chaque enfant reçoit-il ?
• Choices: A) 4 B) 5 C) 6 D) 8
• Hint: Division is sharing equally — like 12 ÷ 3: share 12 among 3, each gets 4.
• Steps:
  • 20 ÷ 4 = ?
  • Think: 4 × 5 = 20.
  • So each child gets 5 apples.
• Answer: 5

[Medium] Missing-Factor Equation

• EN: __ × 5 = 35. What is the missing number?
• FR: __ × 5 = 35. Quel est le nombre manquant ?
• Choices: A) 6 B) 7 C) 8 D) 9
• Hint: Think of the multiplication table for 5 — like __ × 5 = 20: count by 5s until you reach 20: 4 times.
• Steps:
  • Count by 5s: 5, 10, 15, 20, 25, 30, 35.
  • It takes 7 steps to reach 35.
  • So 7 × 5 = 35.
• Answer: 7

[Medium] Perimeter of a Rectangle

• EN: A garden is 6 m long and 3 m wide. What is the perimeter of the garden?
• FR: Un jardin mesure 6 m de long et 3 m de large. Quel est le périmètre du jardin ?
• Choices: A) 9 m B) 16 m C) 18 m D) 24 m
• Hint: Perimeter is the total distance around — like a rectangle 4 m by 2 m: 4 + 2 + 4 + 2 = 12 m.
• Steps:
  • Perimeter = length + width + length + width.
  • 6 + 3 + 6 + 3 = 18 m.
  • So the perimeter is 18 m.
• Answer: 18 m

[Medium] Reading a Simple Graph

• EN: A bar graph shows that 8 students like hockey, 5 like soccer, and 3 like basketball. How many students were asked in total?
• FR: Un diagramme à barres montre que 8 élèves aiment le hockey, 5 aiment le soccer et 3 aiment le basketball. Combien d'élèves ont été interrogés en tout ?
• Choices: A) 13 B) 14 C) 16 D) 24
• Hint: To find the total from a graph, add all the amounts — like 4 + 6 + 2 = 12.
• Steps:
  • 8 + 5 = 13.
  • 13 + 3 = 16.
  • So 16 students were asked in total.
• Answer: 16

[Medium] Multiplication Table of 3

• EN: What is 3 × 9?
• FR: Combien font 3 × 9 ?
• Choices: A) 24 B) 25 C) 27 D) 29
• Hint: Count by 3s nine times — like 3 × 4: 3, 6, 9, 12.
• Steps:
  • Count by 3s: 3, 6, 9, 12, 15, 18, 21, 24, 27.
  • So 3 × 9 = 27.
• Answer: 27

[Hard] Fractions of a Group

• EN: There are 12 students in a class. One-third of them are wearing red shirts. How many students are wearing red shirts?
• FR: Il y a 12 élèves dans une classe. Un tiers d'entre eux portent des chemises rouges. Combien d'élèves portent des chemises rouges ?
• Choices: A) 3 B) 4 C) 6 D) 9
• Hint: To find a fraction of a group, divide by the denominator — like 1/4 of 16: 16 ÷ 4 = 4.
• Steps:
  • 1/3 of 12 means divide 12 by 3.
  • 12 ÷ 3 = 4.
  • So 4 students are wearing red shirts.
• Answer: 4

[Hard] Multi-Step Word Problem

• EN: A baker makes 4 trays of muffins. Each tray holds 10 muffins. She sells 18 muffins. How many muffins are left?
• FR: Une boulangère fait 4 plateaux de muffins. Chaque plateau contient 10 muffins. Elle vend 18 muffins. Combien de muffins reste-t-il ?
• Choices: A) 22 B) 28 C) 32 D) 42
• Hint: First multiply to find the total, then subtract — like 3 trays of 5 = 15 total, then 15 − 6 = 9 left.
• Steps:
  • Total muffins: 4 × 10 = 40.
  • Muffins sold: 18.
  • 40 − 18 = 22 muffins left.
• Answer: 22

[Easy] Multiplication Facts to 9×9

• EN: What is 7 × 8?
• FR: Combien font 7 × 8 ?
• Choices: A) 54 B) 56 C) 63 D) 64
• Hint: A trick for 7 × 8: think "5, 6, 7, 8 — 56 = 7 × 8."
• Steps:
  • 7 × 8 is a key fact to memorize.
  • Think: 7 × 8 = 56.
  • So the answer is 56.
• Answer: 56

[Easy] Decimal Place Value

• EN: What is the value of the digit 4 in the number 3.47?
• FR: Quelle est la valeur du chiffre 4 dans le nombre 3,47 ?
• Choices: A) 4 ones B) 4 tenths C) 4 hundredths D) 40 ones
• Hint: The first digit after the decimal point is in the tenths place — like in 2.36, the 3 is in the tenths place.
• Steps:
  • In 3.47, the digits after the decimal are 4 and 7.
  • The first digit after the decimal is in the tenths place.
  • So 4 is in the tenths place, meaning 4 tenths.
• Answer: 4 tenths

[Easy] Long Division — No Remainder

• EN: What is 48 ÷ 6?
• FR: Combien font 48 ÷ 6 ?
• Choices: A) 7 B) 8 C) 9 D) 12
• Hint: Think of the multiplication fact — like 42 ÷ 7: ask "7 × ? = 42," which is 6.
• Steps:
  • Ask: 6 × ? = 48.
  • 6 × 8 = 48.
  • So 48 ÷ 6 = 8.
• Answer: 8

[Easy] Comparing Fractions

• EN: Which fraction is greater: 3/4 or 1/2?
• FR: Quelle fraction est plus grande : 3/4 ou 1/2 ?
• Choices: A) 1/2 B) 3/4 C) They are equal D) Cannot be compared
• Hint: Convert to the same denominator to compare — like 1/3 vs. 2/6: 1/3 = 2/6, so they are equal.
• Steps:
  • Convert 1/2 to quarters: 1/2 = 2/4.
  • Compare: 3/4 vs. 2/4.
  • 3/4 is greater.
• Answer: 3/4

[Medium] Missing-Factor Equation

• EN: 36 ÷ __ = 9. What is the missing number?
• FR: 36 ÷ __ = 9. Quel est le nombre manquant ?
• Choices: A) 3 B) 4 C) 6 D) 27
• Hint: Think of the related multiplication — like 28 ÷ __ = 7: ask "7 × ? = 28," which is 4.
• Steps:
  • Ask: 9 × ? = 36.
  • 9 × 4 = 36.
  • So the missing number is 4.
• Answer: 4

[Medium] Area of a Rectangle

• EN: A classroom rug is 7 m long and 5 m wide. What is the area of the rug?
• FR: Un tapis de classe mesure 7 m de long et 5 m de large. Quelle est l'aire du tapis ?
• Choices: A) 24 m² B) 30 m² C) 35 m² D) 42 m²
• Hint: Area of a rectangle = length × width — like a rectangle 6 m by 4 m has area 6 × 4 = 24 m².
• Steps:
  • Area = length × width.
  • Area = 7 × 5 = 35.
  • So the area is 35 m².
• Answer: 35 m²

[Medium] Elapsed Time

• EN: School starts at 8:30 a.m. and ends at 3:00 p.m. How long is the school day?
• FR: L'école commence à 8 h 30 et se termine à 15 h 00. Combien de temps dure la journée scolaire ?
• Choices: A) 5 hours 30 minutes B) 6 hours C) 6 hours 30 minutes D) 7 hours
• Hint: Count forward from the start time to the end time — like from 9:00 a.m. to 2:30 p.m.: 9 to 2 is 5 hours, plus 30 minutes = 5 hours 30 minutes.
• Steps:
  • From 8:30 a.m. to 9:00 a.m. = 30 minutes.
  • From 9:00 a.m. to 3:00 p.m. = 6 hours.
  • Total = 6 hours 30 minutes.
• Answer: 6 hours 30 minutes

[Medium] Table of Information Word Problem

• EN: Use this table. Muffin: $1.25 | Cookie: $0.75 | Juice: $1.50. How much does it cost to buy 2 cookies and 1 juice?
• FR: Utilise ce tableau. Muffin : 1,25 $ | Biscuit : 0,75 $ | Jus : 1,50 $. Combien coûtent 2 biscuits et 1 jus ?
• Choices: A) $2.25 B) $3.00 C) $3.25 D) $3.50
• Hint: Multiply each item's price by its quantity, then add — like 2 muffins + 1 juice: 2 × $1.25 + $1.50 = $2.50 + $1.50 = $4.00.
• Steps:
  • 2 cookies: 2 × $0.75 = $1.50.
  • 1 juice: $1.50.
  • Total: $1.50 + $1.50 = $3.00.
• Answer: $3.00

[Hard] Long Division with Remainder

• EN: A teacher has 58 stickers to share equally among 7 students. How many stickers does each student get, and how many are left over?
• FR: Une enseignante a 58 autocollants à partager également entre 7 élèves. Combien d'autocollants chaque élève reçoit-il et combien en reste-t-il ?
• Choices: A) 7 remainder 9 B) 8 remainder 2 C) 8 remainder 9 D) 9 remainder 1
• Hint: Divide, then multiply back to find the remainder — like 25 ÷ 4: 4 × 6 = 24, so quotient 6 remainder 1.
• Steps:
  • 7 × 8 = 56, which is less than 58.
  • 58 − 56 = 2.
  • So each student gets 8 stickers with 2 left over.
• Answer: 8 remainder 2

[Hard] Multi-Step Decimal Problem

• EN: Leo buys a book for $6.75 and a pen for $2.50. He pays with a $10.00 bill. How much change does he receive?
• FR: Leo achète un livre pour 6,75 $ et un stylo pour 2,50 $. Il paie avec un billet de 10,00 $. Combien de monnaie reçoit-il ?
• Choices: A) $0.75 B) $0.85 C) $1.25 D) $9.25
• Hint: Add the prices, then subtract from the amount paid — like $4.50 + $1.25 = $5.75; change from $10.00 is $10.00 − $5.75 = $4.25.
• Steps:
  • Total spent: $6.75 + $2.50 = $9.25.
  • Change: $10.00 − $9.25 = $0.75.
  • So Leo receives $0.75 in change.
• Answer: $0.75

[Easy] Multi-Digit Multiplication

• EN: What is 34 × 6?
• FR: Combien font 34 × 6 ?
• Choices: A) 184 B) 198 C) 204 D) 214
• Hint: Break the number apart — like 23 × 4: (20 × 4) + (3 × 4) = 80 + 12 = 92.
• Steps:
  • 34 × 6 = (30 × 6) + (4 × 6).
  • 180 + 24 = 204.
  • So 34 × 6 = 204.
• Answer: 204

[Easy] Adding Fractions with Like Denominators

• EN: What is 2/7 + 3/7?
• FR: Combien font 2/7 + 3/7 ?
• Choices: A) 5/7 B) 5/14 C) 6/7 D) 1
• Hint: When denominators are the same, just add the numerators and keep the denominator — like 1/5 + 3/5 = 4/5.
• Steps:
  • The denominators are both 7, so keep 7.
  • Add numerators: 2 + 3 = 5.
  • 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) 45
• Hint: 50% means half — like 50% of 60 = 60 ÷ 2 = 30.
• Steps:
  • 50% means divide by 2.
  • 80 ÷ 2 = 40.
  • So 50% of 80 is 40.
• Answer: 40

[Easy] Decimal Operations — Addition

• EN: What is 4.35 + 2.60?
• FR: Combien font 4,35 + 2,60 ?
• Choices: A) 6.85 B) 6.95 C) 7.05 D) 7.95
• Hint: Line up the decimal points and add column by column — like 3.12 + 1.45 = 4.57.
• Steps:
  • Line up: 4.35 + 2.60.
  • Hundredths: 5 + 0 = 5.
  • Tenths: 3 + 6 = 9; Ones: 4 + 2 = 6; total is 6.95.
• Answer: 6.95

[Medium] Missing-Factor Equation with Larger Numbers

• EN: __ × 18 = 108. What is the missing number?
• FR: __ × 18 = 108. Quel est le nombre manquant ?
• Choices: A) 5 B) 6 C) 7 D) 8
• Hint: Divide to find the missing factor — like __ × 15 = 90: 90 ÷ 15 = 6.
• Steps:
  • 108 ÷ 18 = ?
  • 18 × 6 = 108.
  • So the missing number is 6.
• Answer: 6

[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 mesure 5 cm de long, 4 cm de large et 3 cm de haut. Quel est son volume ?
• Choices: A) 12 cm³ B) 47 cm³ C) 60 cm³ D) 72 cm³
• Hint: Volume = length × width × height — like a box 2 × 3 × 4 = 24 cm³.
• Steps:
  • Volume = 5 × 4 × 3.
  • 5 × 4 = 20.
  • 20 × 3 = 60 cm³.
• Answer: 60 cm³

[Medium] Percentage — 25% and 10%

• EN: What is 25% of 200?
• FR: Combien font 25 % de 200 ?
• Choices: A) 25 B) 40 C) 50 D) 75
• Hint: 25% means one-quarter — like 25% of 80 = 80 ÷ 4 = 20.
• Steps:
  • 25% means divide by 4.
  • 200 ÷ 4 = 50.
  • So 25% of 200 is 50.
• Answer: 50

[Medium] Table of Information Word Problem

• EN: Use this table. Notebook: $3.50 | Pencil pack: $2.00 | Eraser: $0.75. How much do 2 notebook and 1 pencil pack cost?
• FR: Utilise ce tableau. Cahier : 3,50 $ | Paquet de crayons : 2,00 $ | Gomme : 0,75 $. Combien coûtent 2 cahiers et 1 paquet de crayons ?
• Choices: A) $7.00 B) $8.25 C) $9.00 D) $9.75
• Hint: Multiply each item's price by how many you need, then add the products — like 3 erasers + 1 notebook: 3 × $0.75 + $3.50 = $2.25 + $3.50 = $5.75.
• Steps:
  • 2 notebooks: 2 × $3.50 = $7.00.
  • 1 pencil pack: $2.00.
  • Total: $7.00 + $2.00 = $9.00.
• Answer: $9.00

[Hard] Multi-Digit Division

• EN: A school orders 468 granola bars to give equally to 9 classes. How many granola bars does each class receive?
• FR: Une école commande 468 barres granola à distribuer également à 9 classes. Combien de barres granola chaque classe reçoit-elle ?
• Choices: A) 48 B) 52 C) 56 D) 62
• Hint: Use long division step by step — like 256 ÷ 8: 8 × 3 = 24 (for the 25), remainder 16; 8 × 2 = 16; answer is 32.
• Steps:
  • 9 × 5 = 45 fits into 46 (take first two digits), remainder 46 − 45 = 1.
  • Bring down 8: makes 18. 9 × 2 = 18.
  • So 468 ÷ 9 = 52.
• Answer: 52

[Hard] Subtracting Fractions and Applying Percent

• EN: Aiden scored 40 points on a quiz. His score was 80% of the total points. How many total points was the quiz worth?
• FR: Aiden a obtenu 40 points à un quiz. Son score était 80 % du total des points. Combien de points valait le quiz en tout ?
• Choices: A) 32 B) 45 C) 50 D) 55
• Hint: If a score is a percent of a total, divide the score by the percent in decimal form — like 30 is 60% of total: 30 ÷ 0.60 = 50.
• Steps:
  • 80% of total = 40.
  • Total = 40 ÷ 0.80.
  • 40 ÷ 0.80 = 50.
• Answer: 50

[Easy] Percent of a Number

• EN: What is 30% of 90?
• FR: Combien font 30 % de 90 ?
• Choices: A) 21 B) 27 C) 30 D) 63
• Hint: Find 10% first (divide by 10), then multiply — like 30% of 50: 10% = 5, so 30% = 15.
• Steps:
  • 10% of 90 = 9.
  • 30% = 3 × 9 = 27.
  • So 30% of 90 is 27.
• Answer: 27

[Easy] Order of Operations (BEDMAS)

• EN: What is 3 + 4 × 2?
• FR: Combien font 3 + 4 × 2 ?
• Choices: A) 10 B) 11 C) 14 D) 22
• Hint: In BEDMAS, multiply before you add — like 5 + 3 × 4: do 3 × 4 = 12 first, then 5 + 12 = 17.
• Steps:
  • Multiply first: 4 × 2 = 8.
  • Then add: 3 + 8 = 11.
  • So the answer is 11.
• Answer: 11

[Easy] Integers Intro

• EN: The temperature is −3°C in the morning. By afternoon it rises 8 degrees. What is the afternoon temperature?
• FR: La température est de −3 °C le matin. L'après-midi, elle monte de 8 degrés. Quelle est la température l'après-midi ?
• Choices: A) −11°C B) −5°C C) 5°C D) 11°C
• Hint: Adding a positive to a negative means moving right on the number line — like −4 + 6 = 2.
• Steps:
  • Start at −3.
  • Add 8: −3 + 8 = 5.
  • The afternoon temperature is 5°C.
• Answer: 5°C

[Easy] Ratios and Rates

• EN: A car travels 120 km in 2 hours. What is its speed in kilometres per hour?
• FR: Une voiture parcourt 120 km en 2 heures. Quelle est sa vitesse en kilomètres par heure ?
• Choices: A) 40 km/h B) 50 km/h C) 60 km/h D) 80 km/h
• Hint: Speed = distance ÷ time — like 90 km in 3 hours: 90 ÷ 3 = 30 km/h.
• Steps:
  • Speed = distance ÷ time.
  • Speed = 120 ÷ 2 = 60.
  • The speed is 60 km/h.
• Answer: 60 km/h

[Medium] Fraction Multiplication

• EN: What is 2/3 × 3/4?
• FR: Combien font 2/3 × 3/4 ?
• Choices: A) 5/7 B) 1/2 C) 6/7 D) 2/7
• Hint: Multiply numerators together and denominators together — like 1/2 × 2/3 = 2/6 = 1/3.
• Steps:
  • Numerators: 2 × 3 = 6.
  • Denominators: 3 × 4 = 12.
  • 6/12 = 1/2.
• Answer: 1/2

[Medium] Simple Algebraic Expression

• EN: Evaluate 5n − 3 when n = 4.
• FR: Calcule 5n − 3 quand n = 4.
• Choices: A) 13 B) 17 C) 18 D) 23
• Hint: Replace the variable with the given number, then follow BEDMAS — like 3x + 2 when x = 5: 3 × 5 + 2 = 15 + 2 = 17.
• Steps:
  • Substitute n = 4: 5 × 4 − 3.
  • 5 × 4 = 20.
  • 20 − 3 = 17.
• Answer: 17

[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) 5/4
• Hint: Dividing by a fraction means multiplying by its reciprocal — like 2/3 ÷ 1/4 = 2/3 × 4/1 = 8/3.
• Steps:
  • Flip the second fraction: 1/2 becomes 2/1.
  • Multiply: 3/4 × 2/1 = 6/4.
  • Simplify: 6/4 = 3/2.
• Answer: 3/2

[Medium] Table of Information — Multi-Step

• EN: Use this table. Hockey stick: $45 | Puck: $5 | Helmet: $60. Jake buys 1 hockey stick, 3 pucks, and 1 helmet. He has a 10% discount coupon. What does Jake pay?
• FR: Utilise ce tableau. Bâton de hockey : 45 $ | Rondelle : 5 $ | Casque : 60 $. Jake achète 1 bâton de hockey, 3 rondelles et 1 casque. Il a un coupon de réduction de 10 %. Combien Jake paie-t-il ?
• Choices: A) $99.00 B) $108.00 C) $110.00 D) $117.00
• Hint: Find the total first, then subtract the discount — like $80 total with 10% off: 10% of $80 = $8; $80 − $8 = $72.
• Steps:
  • Total before discount: $45 + 3×$5 + $60 = $45 + $15 + $60 = $120.
  • 10% of $120 = $12.
  • Jake pays: $120 − $12 = $108.00.
• Answer: $108.00

[Hard] Order of Operations with Brackets

• EN: What is (12 − 4) × 3 + 6 ÷ 2?
• FR: Combien font (12 − 4) × 3 + 6 ÷ 2 ?
• Choices: A) 24 B) 27 C) 30 D) 33
• Hint: Follow BEDMAS: Brackets, then multiplication/division left to right, then addition/subtraction — like (5 + 3) × 2 − 4 ÷ 2: (8) × 2 − 2 = 16 − 2 = 14.
• Steps:
  • Brackets: 12 − 4 = 8.
  • Multiply: 8 × 3 = 24.
  • Divide: 6 ÷ 2 = 3; then 24 + 3 = 27.
• Answer: 27

[Hard] Ratio and Rate Problem

• EN: A Tim Hortons franchise uses 5 cups of coffee beans to make 8 drinks. How many cups of coffee beans are needed to make 56 drinks?
• FR: Une franchise de Tim Hortons utilise 5 tasses de grains de café pour faire 8 boissons. Combien de tasses de grains de café faut-il pour faire 56 boissons ?
• Choices: A) 28 B) 35 C) 40 D) 45
• Hint: Set up a ratio and find the unit rate, then multiply — like 3 cups for 4 drinks: for 20 drinks: 20 ÷ 4 × 3 = 15 cups.
• Steps:
  • Rate: 5 cups per 8 drinks.
  • Scale factor: 56 ÷ 8 = 7.
  • Cups needed: 5 × 7 = 35.
• Answer: 35

[Easy] Integer Operations — Addition

• EN: What is −12 + 7?
• FR: Combien font −12 + 7 ?
• Choices: A) −5 B) −7 C) 5 D) 19
• Hint: On the number line, start at the negative number and move right (positive direction) — like −8 + 5: start at −8, move 5 right, land on −3.
• Steps:
  • Start at −12.
  • Move 7 units to the right.
  • −12 + 7 = −5.
• Answer: −5

[Easy] Percentage — Discount

• EN: A $40 jacket is on sale for 20% off. How much is the discount?
• FR: Une veste à 40 $ est en solde avec une réduction de 20 %. Quel est le montant de la réduction ?
• Choices: A) $4.00 B) $6.00 C) $8.00 D) $20.00
• Hint: Find the percent of the original price — like 20% of $50: 10% = $5, so 20% = $10.
• Steps:
  • 10% of $40 = $4.
  • 20% = 2 × $4 = $8.
  • The discount is $8.00.
• Answer: $8.00

[Easy] Integer Operations — Subtraction

• EN: What is 5 − (−3)?
• FR: Combien font 5 − (−3) ?
• Choices: A) 2 B) −8 C) 8 D) 15
• Hint: Subtracting a negative is the same as adding a positive — like 4 − (−6) = 4 + 6 = 10.
• Steps:
  • 5 − (−3) = 5 + 3.
  • 5 + 3 = 8.
  • So the answer is 8.
• Answer: 8

[Easy] Data and Probability

• EN: A bag has 3 red marbles and 7 blue marbles. What is the probability of picking a red marble?
• FR: Un sac contient 3 billes rouges et 7 billes bleues. Quelle est la probabilité de piger une bille rouge ?
• Choices: A) 3/10 B) 7/10 C) 3/7 D) 1/3
• Hint: Probability = favourable outcomes ÷ total outcomes — like 2 red in 6 total: P = 2/6 = 1/3.
• Steps:
  • Total marbles: 3 + 7 = 10.
  • Favourable (red): 3.
  • Probability = 3/10.
• Answer: 3/10

[Medium] One-Step Linear Equation

• EN: Solve for x: x + 14 = 31.
• FR: Résous pour x : x + 14 = 31.
• Choices: A) x = 15 B) x = 17 C) x = 45 D) x = 47
• Hint: To isolate the variable, do the opposite operation on both sides — like n + 9 = 20: subtract 9 from both sides: n = 11.
• Steps:
  • x + 14 = 31.
  • Subtract 14 from both sides: x = 31 − 14.
  • x = 17.
• Answer: x = 17

[Medium] Surface Area

• EN: A rectangular box is 5 cm long, 3 cm wide, and 2 cm tall. What is its surface area?
• FR: Une boîte rectangulaire mesure 5 cm de long, 3 cm de large et 2 cm de haut. Quelle est son aire de surface ?
• Choices: A) 30 cm² B) 42 cm² C) 62 cm² D) 72 cm²
• Hint: Surface area of a rectangular prism = 2(lw + lh + wh) — like a box 3 × 2 × 1: 2(6 + 3 + 2) = 2(11) = 22 cm².
• Steps:
  • lw = 5 × 3 = 15; lh = 5 × 2 = 10; wh = 3 × 2 = 6.
  • Sum = 15 + 10 + 6 = 31.
  • Surface area = 2 × 31 = 62 cm².
• Answer: 62 cm²

[Medium] Percentage — Tax

• EN: A pair of skates costs $120.00 before tax. The tax rate is 13%. What is the total cost including tax?
• FR: Une paire de patins coûte 120,00 $ avant taxes. Le taux de taxe est de 13 %. Quel est le coût total avec les taxes ?
• Choices: A) $13.60 B) $130.60 C) $133.60 D) $135.60
• Hint: Tax = price × tax rate; total = price + tax — like $50 at 10%: tax = $5; total = $55.
• Steps:
  • Tax = $120 × 0.13 = $15.60.
  • Total = $120 + $15.60 = $135.60.
  • So the total cost is $135.60.
• Answer: $135.60

[Medium] Table of Information — Inference

• EN: Use this table. Day 1 snowfall: 8 cm | Day 2 snowfall: 12 cm | Day 3 snowfall: 5 cm. The city needs to remove snow when the 3-day total exceeds 20 cm. Does the city need to remove snow, and what is the total?
• FR: Utilise ce tableau. Chute de neige du jour 1 : 8 cm | Jour 2 : 12 cm | Jour 3 : 5 cm. La ville doit enlever la neige quand le total sur 3 jours dépasse 20 cm. La ville doit-elle enlever la neige, et quel est le total ?
• Choices: A) No, 20 cm B) Yes, 25 cm C) Yes, 30 cm D) No, 17 cm
• Hint: Add all three values, then compare to the threshold — like 9 + 7 + 6 = 22 cm, which exceeds 20 cm, so yes.
• Steps:
  • Total: 8 + 12 + 5 = 25 cm.
  • 25 > 20, so the city needs to remove snow.
  • The answer is Yes, 25 cm.
• Answer: Yes, 25 cm

[Hard] Integer Operations — All Four

• EN: What is (−6) × (−4) ÷ (−3) + 2?
• FR: Combien font (−6) × (−4) ÷ (−3) + 2 ?
• Choices: A) −6 B) 2 C) 6 D) 10
• Hint: Work left to right for × and ÷, then add/subtract — like (−2) × (−5) ÷ (−1): = 10 ÷ (−1) = −10.
• Steps:
  • (−6) × (−4) = 24.
  • 24 ÷ (−3) = −8.
  • −8 + 2 = −6.
• Answer: −6

[Hard] Fraction and Decimal Fluency

• EN: Sam ran 2.75 km on Monday and 1 3/4 km on Tuesday. What is the total distance Sam ran in kilometres?
• FR: Sam a couru 2,75 km lundi et 1 3/4 km mardi. Quelle est la distance totale que Sam a courue en kilomètres ?
• Choices: A) 3.50 km B) 4.25 km C) 4.50 km D) 5.00 km
• Hint: Convert fractions to decimals, then add — like 2.5 + 1 1/4: 1 1/4 = 1.25, so 2.5 + 1.25 = 3.75.
• Steps:
  • Convert 1 3/4 to decimal: 3/4 = 0.75, so 1 3/4 = 1.75.
  • Total: 2.75 + 1.75 = 4.50 km.
  • So Sam ran 4.50 km.
• Answer: 4.50 km

[Easy] Perfect Squares

• EN: What is the square root of 144?
• FR: Quelle est la racine carrée de 144 ?
• Choices: A) 11 B) 12 C) 13 D) 14
• Hint: Think of a number multiplied by itself — like √81: 9 × 9 = 81, so √81 = 9.
• Steps:
  • Ask: which number times itself equals 144?
  • 12 × 12 = 144.
  • So √144 = 12.
• Answer: 12

[Easy] Mean of a Data Set

• EN: Five students scored: 70, 80, 90, 60, and 100 on a test. What is the mean (average) score?
• FR: Cinq élèves ont obtenu les notes suivantes : 70, 80, 90, 60 et 100 à un test. Quelle est la moyenne ?
• Choices: A) 78 B) 80 C) 82 D) 85
• Hint: Mean = sum of all values ÷ number of values — like 4, 6, 8: sum = 18, count = 3, mean = 6.
• Steps:
  • Sum: 70 + 80 + 90 + 60 + 100 = 400.
  • Count: 5 values.
  • Mean = 400 ÷ 5 = 80.
• Answer: 80

[Easy] Percent Increase

• EN: A hockey jersey costs $50 and its price increases by 10%. What is the new price?
• FR: Un chandail de hockey coûte 50 $ et son prix augmente de 10 %. Quel est le nouveau prix ?
• Choices: A) $5.00 B) $45.00 C) $55.00 D) $60.00
• Hint: Find the increase, then add to the original — like $40 + 20% = $40 + $8 = $48.
• Steps:
  • 10% of $50 = $5.
  • New price = $50 + $5 = $55.
  • So the new price is $55.00.
• Answer: $55.00

[Easy] Two-Step Linear Equation — Setup

• EN: Solve for n: 2n + 3 = 11.
• FR: Résous pour n : 2n + 3 = 11.
• Choices: A) n = 3 B) n = 4 C) n = 7 D) n = 8
• Hint: First subtract the constant from both sides, then divide — like 3x + 4 = 13: subtract 4 to get 3x = 9, then divide by 3: x = 3.
• Steps:
  • 2n + 3 = 11; subtract 3: 2n = 8.
  • Divide by 2: n = 4.
  • So n = 4.
• Answer: n = 4

[Medium] Pythagorean Theorem

• EN: A right triangle has legs of length 6 cm and 8 cm. What is the length of the hypotenuse?
• FR: Un triangle rectangle a des côtés de 6 cm et 8 cm. Quelle est la longueur de l'hypoténuse ?
• Choices: A) 9 cm B) 10 cm C) 11 cm D) 14 cm
• Hint: Use a² + b² = c² — like legs 3 and 4: 9 + 16 = 25, so c = 5.
• Steps:
  • a² + b² = c²: 6² + 8² = 36 + 64 = 100.
  • c = √100 = 10.
  • The hypotenuse is 10 cm.
• Answer: 10 cm

[Medium] Two-Step Linear Equation

• EN: Solve for x: 4x − 7 = 17.
• FR: Résous pour x : 4x − 7 = 17.
• Choices: A) x = 4 B) x = 5 C) x = 6 D) x = 10
• Hint: Add the constant to both sides first, then divide — like 3x − 5 = 16: add 5 to get 3x = 21, divide by 3: x = 7.
• Steps:
  • 4x − 7 = 17; add 7: 4x = 24.
  • Divide by 4: x = 6.
  • So x = 6.
• Answer: x = 6

[Medium] Percent Decrease

• EN: A $200 snowboard is marked down by 15%. What is the sale price?
• FR: Une planche à neige à 200 $ est réduite de 15 %. Quel est le prix de vente ?
• Choices: A) $150.00 B) $165.00 C) $170.00 D) $185.00
• Hint: Find the discount, then subtract — like $80 with 25% off: $80 × 0.25 = $20; sale price = $60.
• Steps:
  • 15% of $200 = $30.
  • Sale price = $200 − $30 = $170.
  • So the sale price is $170.00.
• Answer: $170.00

[Medium] Median and Mode

• EN: These are the goals scored by a hockey player each game: 1, 3, 3, 5, 7. What is the median?
• FR: Voici les buts marqués par un hockeyeur à chaque match : 1, 3, 3, 5, 7. Quelle est la médiane ?
• Choices: A) 1 B) 3 C) 5 D) 7
• Hint: Median is the middle value when data is ordered — like 2, 4, 6, 8, 10: middle value is 6.
• Steps:
  • Data is already in order: 1, 3, 3, 5, 7.
  • The middle value (3rd of 5) is 3.
  • The median is 3.
• Answer: 3

[Hard] Pythagorean Theorem — Applied

• EN: A ramp rises 5 m vertically and extends 12 m horizontally. What is the length of the sloped surface of the ramp?
• FR: Une rampe s'élève de 5 m verticalement et s'étend sur 12 m horizontalement. Quelle est la longueur de la surface inclinée de la rampe ?
• Choices: A) 11 m B) 13 m C) 15 m D) 17 m
• Hint: Use a² + b² = c² — like vertical 3 m, horizontal 4 m: 9 + 16 = 25, so c = 5.
• Steps:
  • a² + b² = c²: 5² + 12² = 25 + 144 = 169.
  • c = √169 = 13.
  • The sloped surface is 13 m.
• Answer: 13 m

[Hard] Slope Introduction

• EN: A line passes through the points (1, 3) and (4, 9). What is the slope of the line?
• FR: Une droite passe par les points (1, 3) et (4, 9). Quelle est la pente de cette droite ?
• Choices: A) 1 B) 2 C) 3 D) 4
• Hint: Slope = rise ÷ run = (y₂ − y₁) ÷ (x₂ − x₁) — like (2,5) and (4,9): (9−5)÷(4−2) = 4÷2 = 2.
• Steps:
  • Rise = 9 − 3 = 6.
  • Run = 4 − 1 = 3.
  • Slope = 6 ÷ 3 = 2.
• Answer: 2

[Easy] Adding Polynomials

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

[Easy] Linear Equation

• EN: Solve for x: 3x − 9 = 15.
• FR: Résous pour x : 3x − 9 = 15.
• Choices: A) x = 2 B) x = 6 C) x = 8 D) x = 24
• Hint: Add first, then divide — like 2x − 4 = 10: add 4 to get 2x = 14, divide by 2: x = 7.
• Steps:
  • Add 9 to both sides: 3x = 24.
  • Divide by 3: x = 8.
  • So x = 8.
• Answer: x = 8

[Easy] Graphing Lines — Slope-Intercept

• EN: A line has the equation y = 2x + 1. What is its slope?
• FR: Une droite a l'équation y = 2x + 1. Quelle est sa pente ?
• Choices: A) 1 B) 2 C) 3 D) −1
• Hint: In y = mx + b, m is the slope and b is the y-intercept — like y = 5x − 3: slope is 5.
• Steps:
  • The equation is y = 2x + 1 in the form y = mx + b.
  • m = 2.
  • The slope is 2.
• Answer: 2

[Easy] Linear Inequality

• EN: Which value of x satisfies x − 4 > 3?
• FR: Quelle valeur de x satisfait x − 4 > 3 ?
• Choices: A) x = 5 B) x = 6 C) x = 7 D) x = 8
• Hint: Solve like an equation but keep the inequality sign — like x − 2 > 5: x > 7, so x = 8 works.
• Steps:
  • x − 4 > 3; add 4: x > 7.
  • Among the choices, only 8 > 7.
  • So x = 8 satisfies the inequality.
• Answer: x = 8

[Medium] Multiplying Polynomials

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

[Medium] Trigonometry Intro — SOH

• EN: In a right triangle, the opposite side is 6 m and the hypotenuse is 10 m. What is sin(θ)?
• FR: Dans un triangle rectangle, le côté opposé mesure 6 m et l'hypoténuse mesure 10 m. Quel est sin(θ) ?
• Choices: A) 0.5 B) 0.6 C) 0.75 D) 0.8
• Hint: SOH: sin = opposite ÷ hypotenuse — like opposite 4, hypotenuse 8: sin = 4/8 = 0.5.
• Steps:
  • sin(θ) = opposite ÷ hypotenuse.
  • sin(θ) = 6 ÷ 10 = 0.6.
  • So sin(θ) = 0.6.
• Answer: 0.6

[Medium] Similar Triangles

• EN: Two similar triangles have sides in the ratio 2:3. If the smaller triangle has a side of 8 cm, what is the corresponding side of the larger triangle?
• FR: Deux triangles semblables ont des côtés dans le rapport 2:3. Si le petit triangle a un côté de 8 cm, quel est le côté correspondant du grand triangle ?
• Choices: A) 10 cm B) 12 cm C) 16 cm D) 24 cm
• Hint: Use the ratio as a scale factor — like ratio 3:5 and small side is 6: large side = 6 × (5/3) = 10.
• Steps:
  • Ratio: small:large = 2:3.
  • Scale factor from small to large = 3/2.
  • Large side = 8 × 3/2 = 12 cm.
• Answer: 12 cm

[Medium] Statistics — Mean and Inference

• EN: A student got these marks on 4 tests: 72, 80, 68, and 76. What mark does the student need on the 5th test to have a mean of 75?
• FR: Un élève a obtenu ces notes à 4 tests : 72, 80, 68 et 76. Quelle note l'élève doit-il obtenir au 5e test pour avoir une moyenne de 75 ?
• Choices: A) 75 B) 77 C) 79 D) 82
• Hint: Total needed = mean × number of tests; subtract what you have — like mean 70 over 5 tests = 350 total; if you have 280, you need 70 on the next test.
• Steps:
  • Total needed: 75 × 5 = 375.
  • Current total: 72 + 80 + 68 + 76 = 296.
  • Mark needed: 375 − 296 = 79.
• Answer: 79

[Hard] Graphing and Solving a Linear System (by Substitution)

• EN: Solve this system: y = 2x + 1 and y = −x + 7. What is the value of x?
• FR: Résous ce système : y = 2x + 1 et y = −x + 7. Quelle est la valeur de x ?
• Choices: A) x = 1 B) x = 2 C) x = 3 D) x = 4
• Hint: Set the two expressions equal and solve — like y = x + 3 and y = −2x + 9: x + 3 = −2x + 9, 3x = 6, x = 2.
• Steps:
  • Set equal: 2x + 1 = −x + 7.
  • Add x to both sides: 3x + 1 = 7; subtract 1: 3x = 6.
  • Divide by 3: x = 2.
• Answer: x = 2

[Hard] Trigonometry — Finding a Side

• EN: In a right triangle, the angle is 30° and the hypotenuse is 20 cm. What is the length of the side opposite the 30° angle? (Use sin 30° = 0.5)
• FR: Dans un triangle rectangle, l'angle est de 30° et l'hypoténuse est de 20 cm. Quelle est la longueur du côté opposé à l'angle de 30° ? (Utilise sin 30° = 0,5)
• Choices: A) 8 cm B) 10 cm C) 15 cm D) 17 cm
• Hint: Rearrange SOH: opposite = sin(θ) × hypotenuse — like sin 45° × 14: 0.707 × 14 ≈ 9.9.
• Steps:
  • sin(30°) = opposite ÷ hypotenuse.
  • 0.5 = opposite ÷ 20.
  • Opposite = 0.5 × 20 = 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 + 4) D) (x − 2)(x − 3)
• Hint: Find two numbers that multiply to the constant and add to the middle coefficient — like x² + 7x + 12: 3 × 4 = 12 and 3 + 4 = 7, so (x + 3)(x + 4).
• Steps:
  • Find two numbers: product = 6, sum = 5.
  • 2 × 3 = 6 and 2 + 3 = 5.
  • So x² + 5x + 6 = (x + 2)(x + 3).
• Answer: (x + 2)(x + 3)

[Easy] Trigonometry — CAH

• EN: In a right triangle, the adjacent side is 8 m and the hypotenuse is 10 m. What is cos(θ)?
• FR: Dans un triangle rectangle, le côté adjacent mesure 8 m et l'hypoténuse mesure 10 m. Quel est cos(θ) ?
• Choices: A) 0.4 B) 0.6 C) 0.8 D) 1.25
• Hint: CAH: cos = adjacent ÷ hypotenuse — like adjacent 6, hypotenuse 10: cos = 0.6.
• Steps:
  • cos(θ) = adjacent ÷ hypotenuse.
  • cos(θ) = 8 ÷ 10 = 0.8.
  • So cos(θ) = 0.8.
• Answer: 0.8

[Easy] System of Equations — Substitution

• EN: Solve: x + y = 10 and x − y = 2. What is x?
• FR: Résous : x + y = 10 et x − y = 2. Quelle est la valeur de x ?
• Choices: A) x = 4 B) x = 6 C) x = 8 D) x = 12
• Hint: Add the two equations to eliminate y — like x + y = 7 and x − y = 3: add to get 2x = 10, so x = 5.
• Steps:
  • Add the equations: (x + y) + (x − y) = 10 + 2.
  • 2x = 12; x = 6.
  • So x = 6.
• Answer: x = 6

[Easy] Volume of a Cylinder

• EN: A cylinder has a radius of 5 cm and a height of 10 cm. What is its volume? (Use π ≈ 3.14)
• FR: Un cylindre a un rayon de 5 cm et une hauteur de 10 cm. Quel est son volume ? (Utilise π ≈ 3,14)
• Choices: A) 157 cm³ B) 314 cm³ C) 785 cm³ D) 1570 cm³
• Hint: Volume of a cylinder = π × r² × h — like r = 3, h = 7: 3.14 × 9 × 7 ≈ 197.8 cm³.
• Steps:
  • V = π × r² × h = 3.14 × 25 × 10.
  • 3.14 × 25 = 78.5.
  • 78.5 × 10 = 785 cm³.
• Answer: 785 cm³

[Medium] Quadratic — Solving by Factoring

• EN: Solve: x² − 7x + 12 = 0. What are the solutions?
• FR: Résous : x² − 7x + 12 = 0. Quelles sont les solutions ?
• Choices: A) x = 2 and x = 6 B) x = 3 and x = 4 C) x = 1 and x = 12 D) x = −3 and x = −4
• Hint: Factor the quadratic, then set each factor to zero — like x² − 5x + 6 = 0: (x − 2)(x − 3) = 0, so x = 2 or x = 3.
• Steps:
  • Factor: (x − 3)(x − 4) = 0.
  • x − 3 = 0 → x = 3; x − 4 = 0 → x = 4.
  • Solutions: x = 3 and x = 4.
• Answer: x = 3 and x = 4

[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) 21.98 cm B) 43.96 cm C) 87.92 cm D) 153.86 cm
• Hint: Circumference = π × d — like d = 10: C = 3.14 × 10 = 31.4 cm.
• Steps:
  • C = π × d = 3.14 × 14.
  • 3.14 × 14 = 43.96.
  • The circumference is 43.96 cm.
• Answer: 43.96 cm

[Medium] Trigonometry — Finding an Angle

• EN: In a right triangle, the opposite side is 9 m and the hypotenuse is 15 m. What is sin(θ), and what does this tell you about θ? (Hint: sin 37° ≈ 0.60, sin 45° ≈ 0.71)
• FR: Dans un triangle rectangle, le côté opposé est 9 m et l'hypoténuse est 15 m. Quel est sin(θ), et que vous indique-t-il sur θ ? (Indice : sin 37° ≈ 0,60, sin 45° ≈ 0,71)
• Choices: A) sin(θ) = 0.45, so θ ≈ 27° B) sin(θ) = 0.60, so θ ≈ 37° C) sin(θ) = 0.71, so θ ≈ 45° D) sin(θ) = 0.80, so θ ≈ 53°
• Hint: Calculate sin = opposite ÷ hypotenuse, then match to a known angle — like opposite 7, hypotenuse 10: sin = 0.70, close to sin 44°.
• Steps:
  • sin(θ) = 9 ÷ 15 = 0.60.
  • sin 37° ≈ 0.60, so θ ≈ 37°.
  • The answer is sin(θ) = 0.60, so θ ≈ 37°.
• Answer: sin(θ) = 0.60, so θ ≈ 37°

[Medium] Completing the Square

• EN: Rewrite x² + 6x + 5 = 0 by completing the square. What is the completed square form?
• FR: Réécris x² + 6x + 5 = 0 en complétant le carré. Quelle est la forme avec carré complété ?
• Choices: A) (x + 2)² = 3 B) (x + 3)² = 4 C) (x + 3)² = 6 D) (x + 6)² = 4
• Hint: Take half of the x coefficient, square it, and adjust — like x² + 4x + 1 = 0: (x + 2)² − 4 + 1 = 0, so (x + 2)² = 3.
• Steps:
  • x² + 6x + 5 = 0; half of 6 is 3; 3² = 9.
  • (x + 3)² − 9 + 5 = 0.
  • (x + 3)² = 4.
• Answer: (x + 3)² = 4

[Hard] Quadratic — Completing the Square to Find Roots

• EN: Solve x² + 4x − 12 = 0 by factoring. What are the solutions?
• FR: Résous x² + 4x − 12 = 0 par factorisation. Quelles sont les solutions ?
• Choices: A) x = 2 and x = −6 B) x = −2 and x = 6 C) x = 3 and x = −4 D) x = 4 and x = −3
• Hint: Find factors of −12 that add to +4 — like x² + x − 6: factors of −6 that add to 1 are 3 and −2, giving (x + 3)(x − 2) = 0.
• Steps:
  • Find factors of −12 that add to 4: 6 and −2.
  • (x + 6)(x − 2) = 0.
  • x = −6 or x = 2; solutions: x = 2 and x = −6.
• Answer: x = 2 and x = −6

[Hard] Surface Area of a Cone

• EN: A cone has a radius of 6 cm and a slant height of 10 cm. What is its total surface area? (Use π ≈ 3.14)
• FR: Un cône a un rayon de 6 cm et une hauteur oblique de 10 cm. Quelle est son aire de surface totale ? (Utilise π ≈ 3,14)
• Choices: A) 188.4 cm² B) 226.08 cm² C) 301.44 cm² D) 376.8 cm²
• Hint: Total surface area of a cone = π × r × l + π × r² — like r = 3, l = 5: 3.14 × 3 × 5 + 3.14 × 9 = 47.1 + 28.26 = 75.36 cm².
• Steps:
  • Lateral area: π × r × l = 3.14 × 6 × 10 = 188.4 cm².
  • Base area: π × r² = 3.14 × 36 = 113.04 cm².
  • Total = 188.4 + 113.04 = 301.44 cm².
• Answer: 301.44 cm²

[Easy] Exponential Function

• EN: A bacteria population doubles every hour. Starting with 50 bacteria, how many are there after 3 hours?
• FR: Une population de bactéries double chaque heure. En partant de 50 bactéries, combien y en a-t-il après 3 heures ?
• Choices: A) 150 B) 300 C) 400 D) 500
• Hint: Use exponential growth: amount = start × 2^time — like 20 × 2³ = 20 × 8 = 160.
• Steps:
  • Amount = 50 × 2³.
  • 2³ = 8.
  • 50 × 8 = 400.
• Answer: 400

[Easy] Logarithm Intro

• EN: What is log₂(32)?
• FR: Que vaut log₂(32) ?
• Choices: A) 4 B) 5 C) 6 D) 8
• Hint: log₂(x) asks "2 to what power equals x?" — like log₂(16): 2⁴ = 16, so the answer is 4.
• Steps:
  • Ask: 2 to what power equals 32?
  • 2⁵ = 32.
  • So log₂(32) = 5.
• Answer: 5

[Easy] Arithmetic Sequence

• EN: What is the 6th term of the sequence: 4, 7, 10, 13, …?
• FR: Quel est le 6e terme de la suite : 4, 7, 10, 13, … ?
• Choices: A) 16 B) 17 C) 19 D) 22
• Hint: Use aₙ = a₁ + (n − 1)d — like starting at 3 with d = 5: 6th term = 3 + 5 × 5 = 28.
• Steps:
  • a₁ = 4, d = 3.
  • a₆ = 4 + (6 − 1) × 3 = 4 + 15 = 19.
  • The 6th term is 19.
• Answer: 19

[Easy] Compound Interest

• EN: $1000 is invested at 5% annual interest, compounded annually, for 2 years. What is the total amount after 2 years?
• FR: 1 000 $ sont investis à un taux d'intérêt annuel de 5 %, capitalisé annuellement, pendant 2 ans. Quel est le montant total après 2 ans ?
• Choices: A) $1050.00 B) $1100.00 C) $1102.50 D) $1150.00
• Hint: Use A = P(1 + r)ⁿ — like $500 at 4% for 2 years: 500 × (1.04)² = 500 × 1.0816 = $540.80.
• Steps:
  • A = 1000 × (1.05)².
  • (1.05)² = 1.1025.
  • A = 1000 × 1.1025 = $1102.50.
• Answer: $1102.50

[Medium] Quadratic Function — Vertex

• EN: What is the vertex of the parabola y = (x − 3)² + 2?
• FR: Quel est le sommet de la parabole y = (x − 3)² + 2 ?
• Choices: A) (2, 3) B) (3, 2) C) (−3, 2) D) (3, −2)
• Hint: In the form y = (x − h)² + k, the vertex is (h, k) — like y = (x − 4)² + 1: vertex is (4, 1).
• Steps:
  • Equation is in vertex form y = (x − h)² + k.
  • h = 3 and k = 2.
  • Vertex is (3, 2).
• Answer: (3, 2)

[Medium] Geometric Series Sum

• 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) 60 B) 78 C) 80 D) 162
• Hint: Add the terms directly, or use Sₙ = a₁(rⁿ − 1)/(r − 1) — like 1, 3, 9, 27: S₄ = 1 + 3 + 9 + 27 = 40.
• Steps:
  • S₄ = 2 + 6 + 18 + 54.
  • 2 + 6 = 8; 8 + 18 = 26; 26 + 54 = 80.
  • So the sum is 80.
• Answer: 80

[Medium] Logarithm Property

• EN: Simplify: log(100) + log(10). (Base 10)
• FR: Simplifie : log(100) + log(10). (Base 10)
• Choices: A) log(110) B) 2 C) 3 D) log(1000)
• Hint: log(a) + log(b) = log(a × b), and log₁₀(10ⁿ) = n — like log(10) + log(100) = log(1000) = 3.
• Steps:
  • log(100) = 2 and log(10) = 1.
  • 2 + 1 = 3.
  • So the answer is 3.
• Answer: 3

[Medium] Financial Math — Annuity

• EN: Zoe deposits $200 at the end of every year for 3 years at 6% annual interest. What is the total future value? (Use FV = 200 × [(1.06³ − 1)/0.06]; 1.06³ ≈ 1.191)
• FR: Zoé dépose 200 $ à la fin de chaque année pendant 3 ans à un taux d'intérêt annuel de 6 %. Quelle est la valeur future totale ? (Utilise FV = 200 × [(1,06³ − 1)/0,06] ; 1,06³ ≈ 1,191)
• Choices: A) $600.00 B) $618.00 C) $636.00 D) $637.00
• Hint: Annuity FV = payment × [(1 + r)ⁿ − 1] / r — like $100 per year for 2 years at 5%: 100 × [(1.05² − 1)/0.05] = 100 × 2.05 = $205.
• Steps:
  • FV = 200 × [(1.191 − 1) / 0.06].
  • = 200 × [0.191 / 0.06].
  • = 200 × 3.183 ≈ $636.00 (rounded to nearest dollar).
• Answer: $636.00

[Hard] Trigonometric Identity

• EN: Verify that sin²(θ) + cos²(θ) = 1. If sin(θ) = 3/5, what is cos(θ)?
• FR: Vérifie que sin²(θ) + cos²(θ) = 1. Si sin(θ) = 3/5, quelle est cos(θ) ?
• Choices: A) 1/5 B) 3/5 C) 4/5 D) 5/3
• Hint: Rearrange the identity: cos²(θ) = 1 − sin²(θ), then take the square root — like sin = 5/13: cos² = 1 − 25/169 = 144/169, cos = 12/13.
• Steps:
  • cos²(θ) = 1 − sin²(θ) = 1 − (3/5)² = 1 − 9/25 = 16/25.
  • cos(θ) = √(16/25) = 4/5.
  • So cos(θ) = 4/5.
• Answer: 4/5

[Hard] Exponential 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 = 27
• Hint: Express both sides as powers of the same base — like 2ˣ = 32: 32 = 2⁵, so x = 5.
• Steps:
  • Write 81 as a power of 3: 81 = 3⁴.
  • So 3ˣ = 3⁴, which means x = 4.
  • The solution is x = 4.
• Answer: x = 4

[Easy] Permutations

• EN: How many ways can 5 students line up in a row?
• FR: De combien de façons 5 élèves peuvent-ils se mettre en file ?
• Choices: A) 25 B) 60 C) 120 D) 720
• Hint: Use n! (factorial) — like 4 students: 4! = 4 × 3 × 2 × 1 = 24.
• Steps:
  • 5! = 5 × 4 × 3 × 2 × 1.
  • 5 × 4 = 20; 20 × 3 = 60; 60 × 2 = 120; 120 × 1 = 120.
  • There are 120 ways.
• Answer: 120

[Easy] Derivative — Power Rule

• EN: What is the derivative of f(x) = x³?
• FR: Quelle est la dérivée de f(x) = x³ ?
• Choices: A) x² B) 3x² C) 3x³ D) x⁴
• Hint: Power rule: d/dx of xⁿ = n × xⁿ⁻¹ — like d/dx of x⁴ = 4x³.
• Steps:
  • Apply the power rule: bring down the exponent, reduce it by 1.
  • d/dx of x³ = 3 × x³⁻¹ = 3x².
  • So the derivative is 3x².
• Answer: 3x²

[Easy] Combinations

• EN: How many ways can you choose 2 students from a group of 6 to lead a project?
• FR: De combien de façons peut-on choisir 2 élèves parmi un groupe de 6 pour diriger un projet ?
• Choices: A) 12 B) 15 C) 18 D) 30
• Hint: Use C(n, r) = n! / [r!(n − r)!] — like C(5, 2) = 5!/(2! × 3!) = 10.
• Steps:
  • C(6, 2) = 6! / [2! × 4!].
  • = (6 × 5) / (2 × 1) = 30 / 2 = 15.
  • There are 15 ways.
• Answer: 15

[Easy] Rational Function — Finding Asymptote

• EN: What is the vertical asymptote of the function f(x) = 1/(x − 4)?
• FR: Quelle est l'asymptote verticale de la fonction f(x) = 1/(x − 4) ?
• Choices: A) x = 1 B) x = 4 C) y = 4 D) y = 0
• Hint: The vertical asymptote occurs where the denominator equals zero — like 1/(x − 7): set x − 7 = 0, so x = 7.
• Steps:
  • Set denominator = 0: x − 4 = 0.
  • x = 4.
  • The vertical asymptote is x = 4.
• Answer: x = 4

[Medium] Binomial Probability

• EN: A fair coin is flipped 4 times. What is the probability of getting exactly 3 heads?
• FR: On lance une pièce équitable 4 fois. Quelle est la probabilité d'obtenir exactement 3 faces ?
• Choices: A) 1/16 B) 3/16 C) 1/4 D) 3/8
• Hint: Use P = C(n,r) × pʳ × (1−p)ⁿ⁻ʳ — like 3 flips, 2 heads: C(3,2) × (0.5)² × (0.5)¹ = 3 × 0.25 × 0.5 = 3/8.
• Steps:
  • C(4, 3) = 4; p = 0.5, n = 4, r = 3.
  • P = 4 × (0.5)³ × (0.5)¹ = 4 × 0.125 × 0.5.
  • P = 4 × 0.0625 = 0.25 = 1/4.
• Answer: 1/4

[Medium] Derivative — Rate of Change

• EN: A car's position in metres is given by s(t) = 3t² + 2t. What is the car's velocity (rate of change of position) when t = 4 seconds?
• FR: La position d'une voiture en mètres est donnée par s(t) = 3t² + 2t. Quelle est la vitesse de la voiture (taux de variation de la position) quand t = 4 secondes ?
• Choices: A) 14 m/s B) 26 m/s C) 52 m/s D) 56 m/s
• Hint: Find the derivative using the power rule, then substitute t — like s(t) = 5t² + t: s'(t) = 10t + 1; at t = 3: s'(3) = 31.
• Steps:
  • s'(t) = 6t + 2 (derivative of 3t² + 2t).
  • At t = 4: s'(4) = 6(4) + 2 = 24 + 2 = 26.
  • The velocity is 26 m/s.
• Answer: 26 m/s

[Medium] Polynomial Function — End Behaviour

• EN: For f(x) = −2x³ + 5x − 1, what describes the end behaviour as x → +∞?
• FR: Pour f(x) = −2x³ + 5x − 1, que décrit le comportement en fin de course quand x → +∞ ?
• Choices: A) f(x) → +∞ B) f(x) → −∞ C) f(x) → 0 D) f(x) → 1
• Hint: For odd-degree polynomials with a negative leading coefficient, as x → +∞ the function goes to −∞ — like f(x) = −x³: falls to the right.
• Steps:
  • Leading term is −2x³ (odd degree, negative coefficient).
  • As x → +∞, −2x³ → −∞.
  • So f(x) → −∞.
• Answer: f(x) → −∞

[Medium] Vectors Intro — Adding Vectors

• EN: Vector u = (3, 5) and vector v = (−1, 4). What is u + v?
• FR: Le vecteur u = (3, 5) et le vecteur v = (−1, 4). Quel est u + v ?
• Choices: A) (2, 9) B) (4, 9) C) (2, 1) D) (4, 1)
• Hint: Add corresponding components — like (2, 3) + (1, 6) = (3, 9).
• Steps:
  • x-components: 3 + (−1) = 2.
  • y-components: 5 + 4 = 9.
  • u + v = (2, 9).
• Answer: (2, 9)

[Hard] Probability Distribution — Expected Value

• EN: A random variable X has this probability distribution: X = 1 with P = 0.2; X = 3 with P = 0.5; X = 5 with P = 0.3. What is the expected value E(X)?
• FR: Une variable aléatoire X a cette distribution de probabilité : X = 1 avec P = 0,2 ; X = 3 avec P = 0,5 ; X = 5 avec P = 0,3. Quelle est l'espérance E(X) ?
• Choices: A) 2.9 B) 3.0 C) 3.1 D) 3.2
• Hint: E(X) = Σ[x × P(x)] — like X=2 with P=0.4 and X=6 with P=0.6: E = 2(0.4) + 6(0.6) = 0.8 + 3.6 = 4.4.
• Steps:
  • E(X) = 1(0.2) + 3(0.5) + 5(0.3).
  • = 0.2 + 1.5 + 1.5 = 3.2.
  • So E(X) = 3.2.
• Answer: 3.2

[Hard] Derivative Application — Maximum

• EN: A ball is thrown upward. Its height in metres is h(t) = −5t² + 20t + 1. At what time t (in seconds) does the ball reach its maximum height?
• FR: Une balle est lancée vers le haut. Sa hauteur en mètres est h(t) = −5t² + 20t + 1. À quel moment t (en secondes) la balle atteint-elle sa hauteur maximale ?
• Choices: A) t = 1 second B) t = 2 seconds C) t = 4 seconds D) t = 5 seconds
• Hint: Take the derivative, set it equal to zero, and solve for t — like h(t) = −4t² + 8t: h'(t) = −8t + 8; set 0: t = 1.
• Steps:
  • h'(t) = −10t + 20.
  • Set h'(t) = 0: −10t + 20 = 0.
  • t = 2 seconds.
• Answer: t = 2 seconds