Daily Math — 2026-07-23

[Easy] Counting to 20

• EN: There are 7 apples on the table and 5 more in the basket. How many apples are there in all?
• FR: Il y a 7 pommes sur la table et 5 autres dans le panier. Combien y a-t-il de pommes en tout?
• Choices: A) 10 apples B) 11 apples C) 12 apples D) 13 apples
• Hint: To add, count on from the bigger number — like 8 + 3, start at 8 and count 9, 10, 11.
• Steps:
  • Start at 7 and count on 5 more: 8, 9, 10, 11, 12.
  • So there are 12 apples in all.
• Answer: 12 apples

[Easy] Skip Counting by 5s

• EN: Skip count by 5s: 5, 10, 15, ___. What number comes next?
• FR: Compte par bonds de 5 : 5, 10, 15, ___. Quel nombre vient ensuite?
• Choices: A) 18 B) 20 C) 22 D) 25
• Hint: Skip counting by 5s means adding 5 each time — like 10, 15, 20, 25.
• Steps:
  • Each number goes up by 5.
  • 15 + 5 = 20.
• Answer: 20

[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) They are equal D) 11
• Hint: The number with more tens is greater — like 12 is greater than 8 because 12 has a ten.
• Steps:
  • 14 has one ten and 4 ones.
  • 9 has no tens, so 14 is greater.
• Answer: 14

[Easy] Coin Recognition

• EN: You have one dime and one nickel. How much money do you have in all?
• FR: Tu as une pièce de dix cents et une pièce de cinq cents. Combien d'argent as-tu en tout?
• Choices: A) 10 cents B) 12 cents C) 15 cents D) 20 cents
• Hint: A dime is worth 10 cents and a nickel is worth 5 cents — add them together like 10 + 5.
• Steps:
  • A dime = 10 cents, a nickel = 5 cents.
  • 10 + 5 = 15 cents.
• Answer: 15 cents

[Medium] Subtraction within 20

• EN: There are 16 snowballs. Kids throw 9 of them. How many snowballs are left?
• FR: Il y a 16 boules de neige. Les enfants en lancent 9. Combien de boules de neige reste-t-il?
• Choices: A) 5 snowballs B) 6 snowballs C) 7 snowballs D) 8 snowballs
• Hint: To subtract, count back — like 13 − 5: start at 13 and count back 5 to get 8.
• Steps:
  • Start at 16 and count back 9: 15, 14, 13, 12, 11, 10, 9, 8, 7.
  • 16 − 9 = 7.
• Answer: 7 snowballs

[Medium] Addition within 20

• EN: Mia has 8 stickers and her friend gives her 6 more. How many stickers does Mia have now?
• FR: Mia a 8 autocollants et son amie lui en donne 6 autres. Combien d'autocollants Mia a-t-elle maintenant?
• Choices: A) 12 stickers B) 13 stickers C) 14 stickers D) 15 stickers
• Hint: To add, you can make a ten — like 9 + 5: take 1 from 5 to make 10, then add 4 to get 14.
• Steps:
  • Take 2 from 6 to make 10 with 8: 8 + 2 = 10.
  • Then add the leftover 4: 10 + 4 = 14.
• Answer: 14 stickers

[Medium] Skip Counting by 2s

• EN: Skip count by 2s: 2, 4, 6, 8, ___. What number comes next?
• FR: Compte par bonds de 2 : 2, 4, 6, 8, ___. Quel nombre vient ensuite?
• Choices: A) 9 B) 10 C) 11 D) 12
• Hint: Skip counting by 2s means adding 2 each time — like 6, 8, 10, 12.
• Steps:
  • Each number increases by 2.
  • 8 + 2 = 10.
• Answer: 10

[Medium] Comparing and Ordering

• EN: Put these numbers in order from least to greatest: 13, 6, 18, 11.
• FR: Mets ces nombres en ordre du plus petit au plus grand : 13, 6, 18, 11.
• Choices: A) 6, 11, 13, 18 B) 6, 13, 11, 18 C) 11, 6, 13, 18 D) 18, 13, 11, 6
• Hint: Look at the tens first — like ordering 5, 12, 9, 15 gives 5, 9, 12, 15.
• Steps:
  • Find the smallest: 6.
  • Then 11, then 13, then 18.
  • Order: 6, 11, 13, 18.
• Answer: 6, 11, 13, 18

[Hard] Word Problem with Addition

• EN: There are 6 red mittens, 5 blue mittens, and 4 green mittens on the shelf. How many mittens are there in all?
• FR: Il y a 6 mitaines rouges, 5 mitaines bleues et 4 mitaines vertes sur l'étagère. Combien y a-t-il de mitaines en tout?
• Choices: A) 13 mittens B) 14 mittens C) 15 mittens D) 16 mittens
• Hint: Add three numbers by grouping two first — like 4 + 3 + 5: add 4 + 3 = 7, then 7 + 5 = 12.
• Steps:
  • Add 6 + 5 = 11.
  • Then add 11 + 4 = 15.
• Answer: 15 mittens

[Hard] Counting Back with Coins

• EN: You have 17 cents. You spend 8 cents on a pencil. How many cents do you have left?
• FR: Tu as 17 cents. Tu dépenses 8 cents pour un crayon. Combien de cents te reste-t-il?
• Choices: A) 7 cents B) 8 cents C) 9 cents D) 10 cents
• Hint: Subtract by counting back — like 14 − 6: start at 14 and count back 6 to get 8.
• Steps:
  • Start at 17 and count back 8: 16, 15, 14, 13, 12, 11, 10, 9.
  • 17 − 8 = 9.
• Answer: 9 cents

[Easy] Addition within 100

• EN: There are 34 students in one class and 25 in another. How many students are there in all?
• FR: Il y a 34 élèves dans une classe et 25 dans une autre. Combien y a-t-il d'élèves en tout?
• Choices: A) 57 students B) 58 students C) 59 students D) 60 students
• Hint: Add the ones first, then the tens — like 32 + 24: 2 + 4 = 6, 30 + 20 = 50, total 56.
• Steps:
  • Add the ones: 4 + 5 = 9.
  • Add the tens: 30 + 20 = 50.
  • Total: 50 + 9 = 59.
• Answer: 59 students

[Easy] Telling Time

• EN: The clock shows the hour hand on the 3 and the minute hand on the 12. What time is it?
• FR: L'horloge montre la grande aiguille sur le 12 et la petite aiguille sur le 3. Quelle heure est-il?
• Choices: A) 12:00 B) 3:00 C) 3:30 D) 6:00
• Hint: When the minute hand points to 12, it is exactly on the hour — like the hour hand on 7 means 7:00.
• Steps:
  • The minute hand on 12 means it is exactly the hour.
  • The hour hand is on 3, so the time is 3:00.
• Answer: 3:00

[Easy] Measuring Length

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

[Easy] Counting Coins

• EN: You have 3 dimes and 2 nickels. How much money do you have?
• FR: Tu as 3 pièces de dix cents et 2 pièces de cinq cents. Combien d'argent as-tu?
• Choices: A) 35 cents B) 38 cents C) 40 cents D) 45 cents
• Hint: Count the dimes by 10s then add the nickels by 5s — like 2 dimes + 3 nickels = 20 + 15 = 35 cents.
• Steps:
  • 3 dimes = 30 cents.
  • 2 nickels = 10 cents.
  • 30 + 10 = 40 cents.
• Answer: 40 cents

[Medium] Subtraction within 100

• EN: There are 72 hockey pucks in a bag. 38 are used in practice. How many pucks are left?
• FR: Il y a 72 rondelles de hockey dans un sac. 38 sont utilisées à l'entraînement. Combien de rondelles reste-t-il?
• Choices: A) 33 pucks B) 34 pucks C) 35 pucks D) 36 pucks
• Hint: Subtract by regrouping — like 63 − 27: borrow 1 ten, 13 − 7 = 6, 5 − 2 = 3, answer is 36.
• Steps:
  • Borrow 1 ten from 7 tens: 12 − 8 = 4.
  • 6 tens − 3 tens = 3 tens = 30.
  • 30 + 4 = 34.
• Answer: 34 pucks

[Medium] Telling Time (Half Hour)

• EN: Ben starts reading at 2:00 and reads for half an hour. What time does he finish?
• FR: Ben commence à lire à 2 h et lit pendant une demi-heure. À quelle heure finit-il?
• Choices: A) 2:15 B) 2:30 C) 2:45 D) 3:00
• Hint: Half an hour is 30 minutes — like starting at 4:00 and adding 30 minutes gives 4:30.
• Steps:
  • Start at 2:00.
  • Add 30 minutes: 2:00 + 30 minutes = 2:30.
• Answer: 2:30

[Medium] Simple Patterns

• EN: Look at the pattern: 10, 20, 30, 40, ___. What number comes next?
• FR: Observe le motif : 10, 20, 30, 40, ___. Quel nombre vient ensuite?
• Choices: A) 45 B) 48 C) 50 D) 55
• Hint: Find the rule by looking at how much each number grows — like 5, 10, 15 grows by 5 each time.
• Steps:
  • Each number increases by 10.
  • 40 + 10 = 50.
• Answer: 50

[Medium] Measuring and Comparing

• EN: A book is 22 cm wide. A notebook is 18 cm wide. How wide are they together?
• FR: Un livre a 22 cm de largeur. Un cahier a 18 cm de largeur. Quelle est leur largeur totale?
• Choices: A) 38 cm B) 39 cm C) 40 cm D) 41 cm
• Hint: Add two numbers by adding the ones then the tens — like 24 + 15: 4 + 5 = 9, 20 + 10 = 30, total 39.
• Steps:
  • Add the ones: 2 + 8 = 10, write 0 carry 1.
  • Add the tens: 20 + 10 + 10 (carry) = 40.
  • Total: 40 cm.
• Answer: 40 cm

[Hard] Multi-Step Coins

• EN: Lena has 2 quarters, 1 dime, and 3 pennies. How much money does she have in total?
• FR: Lena a 2 pièces de 25 cents, 1 pièce de dix cents et 3 pennies. Combien d'argent a-t-elle en tout?
• Choices: A) 58 cents B) 60 cents C) 63 cents D) 65 cents
• Hint: Count each coin type separately then add — like 1 quarter + 2 dimes + 4 pennies = 25 + 20 + 4 = 49 cents.
• Steps:
  • 2 quarters = 50 cents.
  • 1 dime = 10 cents.
  • 3 pennies = 3 cents.
  • 50 + 10 + 3 = 63 cents.
• Answer: 63 cents

[Hard] Word Problem — Two-Step Subtraction

• EN: A school has 85 library books. On Monday, 27 books are borrowed. On Tuesday, 16 more are borrowed. How many books are left?
• FR: Une école a 85 livres à la bibliothèque. Lundi, 27 livres sont empruntés. Mardi, 16 de plus sont empruntés. Combien de livres reste-t-il?
• Choices: A) 40 books B) 41 books C) 42 books D) 43 books
• Hint: Solve two steps — like 60 − 15 − 12: first 60 − 15 = 45, then 45 − 12 = 33.
• Steps:
  • First: 85 − 27 = 58.
  • Then: 58 − 16 = 42.
• Answer: 42 books

[Easy] Multiplication Table of 2

• EN: What is 2 × 8?
• FR: Combien fait 2 × 8?
• Choices: A) 14 B) 16 C) 18 D) 20
• Hint: Multiplying by 2 is like doubling — like 2 × 6 = 12 because 6 + 6 = 12.
• Steps:
  • 2 × 8 means 8 + 8.
  • 8 + 8 = 16.
• Answer: 16

[Easy] Multiplication Table of 5

• EN: What is 5 × 7?
• FR: Combien fait 5 × 7?
• Choices: A) 30 B) 32 C) 35 D) 40
• Hint: Count by 5s to multiply — like 5 × 4: 5, 10, 15, 20.
• Steps:
  • Skip count by 5, seven times: 5, 10, 15, 20, 25, 30, 35.
  • 5 × 7 = 35.
• Answer: 35

[Easy] Basic Fractions

• EN: A pizza is cut into 4 equal pieces. You eat 1 piece. What fraction did you eat?
• FR: Une pizza est coupée en 4 morceaux égaux. Tu manges 1 morceau. Quelle fraction as-tu mangée?
• Choices: A) 1/2 B) 1/3 C) 1/4 D) 2/4
• Hint: A fraction shows part of a whole — like if a chocolate bar has 3 equal pieces and you eat 1, that is 1/3.
• Steps:
  • The pizza has 4 equal parts in total.
  • You ate 1 out of 4 parts.
  • That is 1/4.
• Answer: 1/4

[Easy] Basic Division

• EN: There are 20 stickers shared equally among 4 friends. How many stickers does each friend get?
• FR: Il y a 20 autocollants partagés également entre 4 amis. Combien d'autocollants chaque ami reçoit-il?
• Choices: A) 4 stickers B) 5 stickers C) 6 stickers D) 8 stickers
• Hint: Division is sharing equally — like 18 ÷ 3 means splitting 18 into 3 groups: 6 in each.
• Steps:
  • 20 ÷ 4 = ?
  • 4 × 5 = 20, so 20 ÷ 4 = 5.
• Answer: 5 stickers

[Medium] Multiplication Table of 3

• EN: A shelf has 3 rows of books. Each row has 9 books. How many books are on the shelf?
• FR: Une étagère a 3 rangées de livres. Chaque rangée a 9 livres. Combien y a-t-il de livres sur l'étagère?
• Choices: A) 24 books B) 27 books C) 28 books D) 30 books
• Hint: Multiply to find the total in equal groups — like 3 rows of 6 books = 3 × 6 = 18 books.
• Steps:
  • 3 × 9 = ?
  • 3 × 9 = 27.
• Answer: 27 books

[Medium] Perimeter of a Shape

• EN: A rectangle is 6 cm long and 4 cm wide. What is its perimeter?
• FR: Un rectangle mesure 6 cm de long et 4 cm de large. Quel est son périmètre?
• Choices: A) 18 cm B) 20 cm C) 22 cm D) 24 cm
• Hint: Perimeter means adding all sides — like a rectangle 5 cm × 3 cm has perimeter 5 + 5 + 3 + 3 = 16 cm.
• Steps:
  • Add all four sides: 6 + 6 + 4 + 4.
  • 6 + 6 = 12, 4 + 4 = 8.
  • 12 + 8 = 20 cm.
• Answer: 20 cm

[Medium] Reading a Graph

• EN: A graph shows that 8 students like hockey, 5 like soccer, and 3 like swimming. How many students are shown in the graph?
• FR: Un graphique montre que 8 élèves aiment le hockey, 5 aiment le soccer et 3 aiment la natation. Combien d'élèves sont représentés?
• Choices: A) 14 students B) 15 students C) 16 students D) 17 students
• Hint: To find the total in a graph, add all the groups — like 4 + 7 + 3 = 14.
• Steps:
  • Add: 8 + 5 + 3.
  • 8 + 5 = 13, then 13 + 3 = 16.
• Answer: 16 students

[Medium] Fractions on a Number Line

• EN: Which fraction is greater: 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) Neither is a fraction
• Hint: Bigger denominator means smaller pieces — like 1/4 is smaller than 1/2 because the pie is cut into more pieces.
• Steps:
  • 1/2 means 1 out of 2 equal parts (bigger pieces).
  • 1/3 means 1 out of 3 equal parts (smaller pieces).
  • So 1/2 is greater.
• Answer: 1/2

[Hard] Multi-Step Multiplication and Subtraction

• EN: A baker makes 4 trays of muffins with 10 muffins on each tray. She sells 18 muffins. How many muffins does she have left?
• FR: Une boulangère fait 4 plateaux de muffins avec 10 muffins sur chaque plateau. Elle vend 18 muffins. Combien de muffins lui reste-t-il?
• Choices: A) 20 muffins B) 22 muffins C) 24 muffins D) 26 muffins
• Hint: First multiply to find the total, then subtract — like 3 × 10 = 30, then 30 − 7 = 23.
• Steps:
  • Total muffins: 4 × 10 = 40.
  • Subtract sold: 40 − 18 = 22.
• Answer: 22 muffins

[Hard] Division with Context

• EN: There are 36 children going on a field trip. Each van holds 4 children. How many vans are needed?
• FR: Il y a 36 enfants qui partent en excursion. Chaque fourgonnette peut transporter 4 enfants. Combien de fourgonnettes sont nécessaires?
• Choices: A) 7 vans B) 8 vans C) 9 vans D) 10 vans
• Hint: Divide to find how many equal groups — like 28 ÷ 4 = 7 because 4 × 7 = 28.
• Steps:
  • 36 ÷ 4 = ?
  • 4 × 9 = 36, so 36 ÷ 4 = 9.
• Answer: 9 vans

[Easy] Multiplication to 9×9

• EN: What is 7 × 8?
• FR: Combien fait 7 × 8?
• Choices: A) 54 B) 56 C) 58 D) 63
• Hint: Use a fact you know — like 7 × 7 = 49, then add one more 7 to get 56.
• Steps:
  • 7 × 8 = 7 × 7 + 7 = 49 + 7 = 56.
  • So 7 × 8 = 56.
• Answer: 56

[Easy] Decimal Place Value

• EN: What is the value of the digit 3 in the number 4.37?
• FR: Quelle est la valeur du chiffre 3 dans le nombre 4,37?
• Choices: A) 3 ones B) 3 tenths C) 3 hundredths D) 30 ones
• Hint: In a decimal, the first digit after the point is tenths — like in 2.59, the 5 is 5 tenths.
• Steps:
  • 4.37: the 4 is ones, the 3 is in the tenths place, the 7 is in the hundredths place.
  • So the 3 means 3 tenths.
• Answer: 3 tenths

[Easy] Area of a Rectangle

• EN: A rectangle is 8 cm long and 5 cm wide. What is its area?
• FR: Un rectangle mesure 8 cm de long et 5 cm de large. Quelle est son aire?
• Choices: A) 26 cm² B) 35 cm² C) 40 cm² D) 45 cm²
• Hint: Area = length × width — like a rectangle 6 cm × 4 cm has area 24 cm².
• Steps:
  • Area = 8 × 5.
  • 8 × 5 = 40 cm².
• Answer: 40 cm²

[Easy] Comparing Fractions

• EN: Which fraction is greater: 3/4 or 2/4?
• FR: Quelle fraction est plus grande : 3/4 ou 2/4?
• Choices: A) 2/4 B) 3/4 C) They are equal D) Neither can be compared
• Hint: When denominators are the same, compare the numerators — like 5/8 is greater than 3/8.
• Steps:
  • Both fractions have the same denominator (4).
  • Compare numerators: 3 > 2.
  • So 3/4 is greater.
• Answer: 3/4

[Medium] Long Division with Remainders

• EN: There are 29 apples divided equally into 4 bags. How many apples are in each bag, and how many are left over?
• FR: Il y a 29 pommes divisées également dans 4 sacs. Combien de pommes y a-t-il dans chaque sac et combien en reste-t-il?
• Choices: A) 6 remainder 5 B) 7 remainder 1 C) 7 remainder 2 D) 8 remainder 1
• Hint: Divide, then find the remainder — like 22 ÷ 5: 5 × 4 = 20, remainder = 22 − 20 = 2, so 4 remainder 2.
• Steps:
  • 4 × 7 = 28, which is less than 29.
  • Remainder: 29 − 28 = 1.
  • Answer: 7 remainder 1
• Answer: 7 remainder 1

[Medium] Elapsed Time

• EN: A hockey game starts at 1:15 PM and ends at 3:45 PM. How long did the game last?
• FR: Une partie de hockey commence à 13 h 15 et se termine à 15 h 45. Combien de temps a duré la partie?
• Choices: A) 2 hours B) 2 hours 15 minutes C) 2 hours 30 minutes D) 2 hours 45 minutes
• Hint: Count up from the start time — like from 2:10 to 4:40: 2 hours gets to 4:10, then 30 more minutes = 2 hours 30 minutes.
• Steps:
  • From 1:15 to 3:15 = 2 hours.
  • From 3:15 to 3:45 = 30 minutes.
  • Total: 2 hours 30 minutes.
• Answer: 2 hours 30 minutes

[Medium] Decimal Operations

• EN: A juice box costs $1.25 and a granola bar costs $0.75. How much do they cost together?
• FR: Une boîte de jus coûte 1,25 $ et une barre granola coûte 0,75 $. Combien coûtent-ils ensemble?
• Choices: A) $1.90 B) $1.95 C) $2.00 D) $2.10
• Hint: Add decimals by lining up the decimal points — like $1.40 + $0.60 = $2.00.
• Steps:
  • $1.25 + $0.75.
  • Cents: 25 + 75 = 100 cents = $1.00.
  • Dollars: $1 + $0 + $1.00 = $2.00.
• Answer: $2.00

[Medium] Multiplication — Multi-Step

• EN: A school orders 6 boxes of crayons. Each box has 48 crayons. How many crayons are there in all?
• FR: Une école commande 6 boîtes de crayons. Chaque boîte contient 48 crayons. Combien y a-t-il de crayons en tout?
• Choices: A) 248 crayons B) 268 crayons C) 278 crayons D) 288 crayons
• Hint: Multiply in parts — like 6 × 45: 6 × 40 = 240, 6 × 5 = 30, total 270.
• Steps:
  • 6 × 48 = 6 × 40 + 6 × 8.
  • 6 × 40 = 240; 6 × 8 = 48.
  • 240 + 48 = 288.
• Answer: 288 crayons

[Hard] Multi-Step Word Problem

• EN: A store has 5 shelves. Each shelf holds 36 books. The store sells 78 books on Saturday. How many books are left?
• FR: Un magasin a 5 étagères. Chaque étagère contient 36 livres. Le magasin vend 78 livres le samedi. Combien de livres reste-t-il?
• Choices: A) 96 books B) 100 books C) 102 books D) 108 books
• Hint: First multiply to get the total, then subtract — like 4 × 25 = 100, then 100 − 34 = 66.
• Steps:
  • Total books: 5 × 36 = 180.
  • Books left: 180 − 78 = 102.
• Answer: 102 books

[Hard] Fractions and Decimals

• EN: Which decimal is equal to 3/4?
• FR: Quel nombre décimal est égal à 3/4?
• Choices: A) 0.25 B) 0.50 C) 0.70 D) 0.75
• Hint: Divide the numerator by the denominator — like 1/4 = 1 ÷ 4 = 0.25.
• Steps:
  • 3/4 means 3 ÷ 4.
  • 3 ÷ 4 = 0.75.
• Answer: 0.75

[Easy] Multi-Digit Multiplication

• EN: What is 24 × 6?
• FR: Combien fait 24 × 6?
• Choices: A) 124 B) 134 C) 144 D) 154
• Hint: Multiply in parts — like 23 × 4: 20 × 4 = 80, 3 × 4 = 12, total 92.
• Steps:
  • 24 × 6 = 20 × 6 + 4 × 6.
  • 20 × 6 = 120; 4 × 6 = 24.
  • 120 + 24 = 144.
• Answer: 144

[Easy] Adding Fractions with Like Denominators

• EN: What is 2/7 + 3/7?
• FR: Combien fait 2/7 + 3/7?
• Choices: A) 5/14 B) 5/7 C) 6/7 D) 1/7
• Hint: Add only the numerators when denominators are the same — like 3/9 + 4/9 = 7/9.
• Steps:
  • Keep the denominator: 7.
  • Add numerators: 2 + 3 = 5.
  • Answer: 5/7
• Answer: 5/7

[Easy] Percentage Introduction

• EN: A bag has 100 marbles. 25% of them are blue. How many marbles are blue?
• FR: Un sac contient 100 billes. 25 % d'entre elles sont bleues. Combien de billes sont bleues?
• Choices: A) 20 marbles B) 25 marbles C) 30 marbles D) 50 marbles
• Hint: Percent means out of 100 — like 10% of 100 = 10, and 50% of 100 = 50.
• Steps:
  • 25% means 25 out of every 100.
  • 25% of 100 = 25.
• Answer: 25 marbles

[Easy] Decimal Operations — Addition

• EN: What is 3.6 + 2.4?
• FR: Combien fait 3,6 + 2,4?
• Choices: A) 5.0 B) 5.10 C) 6.0 D) 6.10
• Hint: Line up the decimal points and add — like 4.3 + 1.5: 3 + 5 = 8, 4 + 1 = 5, total 5.8.
• Steps:
  • 3.6 + 2.4: tenths 6 + 4 = 10, write 0 carry 1.
  • Ones: 3 + 2 + 1 = 6.
  • Answer: 6.0
• Answer: 6.0

[Medium] Multi-Digit Division

• EN: A school orders 168 pencils for 8 classrooms, with an equal number per classroom. How many pencils go to each classroom?
• FR: Une école commande 168 crayons pour 8 classes, avec un nombre égal par classe. Combien de crayons va dans chaque classe?
• Choices: A) 18 pencils B) 20 pencils C) 21 pencils D) 24 pencils
• Hint: Divide step by step — like 144 ÷ 6: 6 goes into 14 twice (12), bring down 4, 6 goes into 24 four times = 24.
• Steps:
  • 168 ÷ 8: 8 goes into 16 twice (16), bring down 8.
  • 8 goes into 8 once.
  • Answer: 21 pencils
• Answer: 21 pencils

[Medium] Subtracting Fractions with Like Denominators

• EN: What is 6/8 − 2/8?
• FR: Combien fait 6/8 − 2/8?
• Choices: A) 3/8 B) 4/8 C) 5/8 D) 8/8
• Hint: Subtract only the numerators — like 7/10 − 3/10 = 4/10.
• Steps:
  • Keep the denominator: 8.
  • Subtract numerators: 6 − 2 = 4.
  • Answer: 4/8
• Answer: 4/8

[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) 48 cm³ B) 54 cm³ C) 60 cm³ D) 64 cm³
• Hint: Volume = length × width × height — like 4 × 3 × 2 = 24 cm³.
• Steps:
  • V = 5 × 4 × 3.
  • 5 × 4 = 20, then 20 × 3 = 60.
  • Volume = 60 cm³.
• Answer: 60 cm³

[Medium] Percentage — 10% and 50%

• EN: A Tim Hortons coffee costs $2.80. What is 50% of $2.80?
• FR: Un café Tim Hortons coûte 2,80 $. Combien vaut 50 % de 2,80 $?
• Choices: A) $1.20 B) $1.30 C) $1.40 D) $1.50
• Hint: 50% means half — like 50% of $3.00 is $1.50.
• Steps:
  • 50% of $2.80 = $2.80 ÷ 2.
  • $2.80 ÷ 2 = $1.40.
• Answer: $1.40

[Hard] Multi-Step Decimal Problem

• EN: Carlos buys 3 notebooks at $2.45 each and pays with a $10 bill. How much change does he receive?
• FR: Carlos achète 3 cahiers à 2,45 $ chacun et paye avec un billet de 10 $. Combien reçoit-il en monnaie?
• Choices: A) $2.55 B) $2.65 C) $2.75 D) $3.15
• Hint: First find the total cost by multiplying, then subtract from the amount paid — like 2 × $3.20 = $6.40, change = $10 − $6.40 = $3.60.
• Steps:
  • Cost: 3 × $2.45 = $7.35.
  • Change: $10.00 − $7.35 = $2.65.
• Answer: $2.65

[Hard] Fraction and Percent Comparison

• EN: A class of 40 students has 10 students who walk to school. What percentage of students walk to school?
• FR: Une classe de 40 élèves compte 10 élèves qui vont à l'école à pied. Quel pourcentage d'élèves vont à l'école à pied?
• Choices: A) 20% B) 25% C) 30% D) 40%
• Hint: To find percent, divide the part by the whole and multiply by 100 — like 8 out of 32: 8 ÷ 32 = 0.25, then 0.25 × 100 = 25%.
• Steps:
  • 10 ÷ 40 = 0.25.
  • 0.25 × 100 = 25%.
• Answer: 25%

[Easy] Order of Operations (BEDMAS)

• EN: What is 3 + 4 × 2?
• FR: Combien fait 3 + 4 × 2?
• Choices: A) 10 B) 11 C) 12 D) 14
• Hint: In BEDMAS, do multiplication before addition — like 5 + 3 × 2: do 3 × 2 = 6 first, then 5 + 6 = 11.
• Steps:
  • Multiplication first: 4 × 2 = 8.
  • Then addition: 3 + 8 = 11.
• Answer: 11

[Easy] Percent of a Number

• EN: What is 20% of 60?
• FR: Combien vaut 20 % de 60?
• Choices: A) 10 B) 12 C) 15 D) 20
• Hint: Find 10% first, then double it — like 20% of 50: 10% of 50 = 5, double = 10.
• Steps:
  • 10% of 60 = 6.
  • 20% = 6 × 2 = 12.
• Answer: 12

[Easy] Integers — Introduction

• EN: Which number is less: −3 or −7?
• FR: Quel nombre est plus petit : −3 ou −7?
• Choices: A) −3 B) −7 C) They are equal D) 0
• Hint: On a number line, numbers further left are smaller — like −5 is less than −2.
• Steps:
  • On a number line, −7 is to the left of −3.
  • −7 is less than −3.
• Answer: −7

[Easy] Simple Algebraic Expression

• EN: If n = 5, what is the value of 3n + 4?
• FR: Si n = 5, quelle est la valeur de 3n + 4?
• Choices: A) 17 B) 18 C) 19 D) 20
• Hint: Substitute the value and follow BEDMAS — like if m = 3, then 4m + 2 = 4(3) + 2 = 12 + 2 = 14.
• Steps:
  • Substitute n = 5: 3(5) + 4.
  • 3 × 5 = 15, then 15 + 4 = 19.
• Answer: 19

[Medium] Fraction Multiplication

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

[Medium] Ratios and Rates

• EN: A car travels 150 km in 3 hours. What is its speed in km per hour?
• FR: Une voiture parcourt 150 km en 3 heures. Quelle est sa vitesse en km à l'heure?
• Choices: A) 40 km/h B) 45 km/h C) 50 km/h D) 55 km/h
• Hint: To find rate, divide the total by the number of units — like 120 km in 4 hours = 120 ÷ 4 = 30 km/h.
• Steps:
  • Speed = 150 ÷ 3.
  • 150 ÷ 3 = 50 km/h.
• Answer: 50 km/h

[Medium] BEDMAS with Brackets

• EN: What is (6 + 2) × 3 − 4?
• FR: Combien fait (6 + 2) × 3 − 4?
• Choices: A) 18 B) 20 C) 22 D) 24
• Hint: Solve brackets first, then multiply, then subtract — like (3 + 4) × 2 − 1 = 7 × 2 − 1 = 14 − 1 = 13.
• Steps:
  • Brackets: 6 + 2 = 8.
  • Multiply: 8 × 3 = 24.
  • Subtract: 24 − 4 = 20.
• Answer: 20

[Medium] Fraction Division

• EN: What is 3/4 ÷ 1/2?
• FR: Combien fait 3/4 ÷ 1/2?
• Choices: A) 3/8 B) 1 C) 3/2 D) 2
• Hint: To divide by a fraction, 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.
  • Multiply: 3/4 × 2/1 = 6/4 = 3/2.
• Answer: 3/2

[Hard] Multi-Step Percent Problem

• EN: A jacket at a Canadian store is originally priced at $80.00. It is on sale for 15% off. What is the sale price?
• FR: Un manteau dans un magasin canadien est initialement vendu 80,00 $. Il est en solde à 15 % de réduction. Quel est le prix de vente?
• Choices: A) $64.00 B) $66.00 C) $68.00 D) $72.00
• Hint: Find the discount amount, then subtract from the original — like 20% off $50: 20% of $50 = $10, sale price = $50 − $10 = $40.
• Steps:
  • 15% of $80 = 0.15 × 80 = $12.
  • Sale price: $80 − $12 = $68.
• Answer: $68.00

[Hard] Integers and Expressions

• EN: What is the value of −4 + 9 − (−3)?
• FR: Quelle est la valeur de −4 + 9 − (−3)?
• Choices: A) 6 B) 7 C) 8 D) 10
• Hint: Subtracting a negative is the same as adding — like −2 + 5 − (−3) = −2 + 5 + 3 = 6.
• Steps:
  • −4 + 9 = 5.
  • 5 − (−3) = 5 + 3 = 8.
• Answer: 8

[Easy] Integer Addition

• EN: What is −5 + 8?
• FR: Combien fait −5 + 8?
• Choices: A) −3 B) 2 C) 3 D) 13
• Hint: On a number line, start at the negative number and move right for addition — like −4 + 6 = 2.
• Steps:
  • Start at −5, move 8 steps right.
  • −5 + 8 = 3.
• Answer: 3

[Easy] Percent — Discount

• EN: A pair of skates costs $120. They are on sale for 25% off. How much is the discount?
• FR: Une paire de patins coûte 120 $. Ils sont en solde à 25 % de réduction. Quel est le montant de la réduction?
• Choices: A) $25 B) $28 C) $30 D) $35
• Hint: Find 25% by dividing by 4 — like 25% of $80 = $80 ÷ 4 = $20.
• Steps:
  • 25% of $120 = $120 ÷ 4 = $30.
• Answer: $30

[Easy] Fraction Operations

• EN: What is 3/5 + 1/5?
• FR: Combien fait 3/5 + 1/5?
• Choices: A) 3/10 B) 4/5 C) 4/10 D) 1/5
• Hint: Add fractions with the same denominator by adding numerators only — like 2/7 + 3/7 = 5/7.
• Steps:
  • Same denominator, add numerators: 3 + 1 = 4.
  • Answer: 4/5
• Answer: 4/5

[Easy] One-Step Linear Equation

• EN: Solve for x: x + 9 = 14.
• FR: Résous pour x : x + 9 = 14.
• Choices: A) x = 4 B) x = 5 C) x = 6 D) x = 23
• Hint: To isolate x, subtract the same number from both sides — like x + 7 = 12: x = 12 − 7 = 5.
• Steps:
  • Subtract 9 from both sides: x = 14 − 9.
  • x = 5.
• Answer: x = 5

[Medium] Integer Multiplication

• EN: What is (−4) × (−6)?
• FR: Combien fait (−4) × (−6)?
• Choices: A) −24 B) −10 C) 10 D) 24
• Hint: A negative times a negative equals a positive — like (−3) × (−5) = 15.
• Steps:
  • Negative × Negative = Positive.
  • 4 × 6 = 24.
  • Answer: 24
• Answer: 24

[Medium] Percentage — Tax

• EN: A book costs $15.00. Provincial tax is 10%. What is the total cost including tax?
• FR: Un livre coûte 15,00 $. La taxe provinciale est de 10 %. Quel est le coût total avec la taxe?
• Choices: A) $15.50 B) $16.00 C) $16.50 D) $17.00
• Hint: Find the tax, then add it — like 10% of $20 = $2, total = $20 + $2 = $22.
• Steps:
  • Tax: 10% of $15 = $1.50.
  • Total: $15.00 + $1.50 = $16.50.
• Answer: $16.50

[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) 56 cm² B) 60 cm² C) 62 cm² D) 64 cm²
• Hint: Surface area = 2(lw + lh + wh) — like a 4 × 2 × 1 box: 2(8 + 4 + 2) = 2 × 14 = 28 cm².
• Steps:
  • lw = 5 × 3 = 15; lh = 5 × 2 = 10; wh = 3 × 2 = 6.
  • SA = 2(15 + 10 + 6) = 2 × 31 = 62 cm².
• Answer: 62 cm²

[Medium] Data and Probability

• EN: A bag holds 4 red and 6 blue marbles. What is the probability of picking a red marble?
• FR: Un sac contient 4 billes rouges et 6 billes bleues. Quelle est la probabilité de tirer une bille rouge?
• Choices: A) 2/5 B) 4/6 C) 1/4 D) 3/5
• Hint: Probability = favourable outcomes ÷ total outcomes — like 3 red out of 9 total = 3/9 = 1/3.
• Steps:
  • Total marbles: 4 + 6 = 10.
  • Probability of red = 4/10 = 2/5.
• Answer: 2/5

[Hard] Integer Division and Multi-Step

• EN: A football team loses 3 yards on each of 4 plays. What is the total change in yard position?
• FR: Une équipe de football perd 3 verges à chacun de 4 jeux. Quel est le changement total de position en verges?
• Choices: A) −15 yards B) −12 yards C) −9 yards D) 12 yards
• Hint: Multiply the loss per play by the number of plays — like losing 5 yards × 3 plays = −15 yards.
• Steps:
  • Each play: −3 yards.
  • Total: (−3) × 4 = −12 yards.
• Answer: −12 yards

[Hard] One-Step Equation — Real Context

• EN: Amara saves the same amount of money each week. After 7 weeks she has $91.00. How much does she save each week?
• FR: Amara économise le même montant chaque semaine. Après 7 semaines, elle a 91,00 $. Combien économise-t-elle chaque semaine?
• Choices: A) $12.00 B) $13.00 C) $14.00 D) $15.00
• Hint: Divide the total by the number of weeks — like $60 in 5 weeks = $60 ÷ 5 = $12 per week.
• Steps:
  • Set up: 7x = $91.
  • x = $91 ÷ 7 = $13.
• Answer: $13.00

[Easy] Perfect Squares

• EN: What is the value of 7²?
• FR: Quelle est la valeur de 7²?
• Choices: A) 14 B) 42 C) 49 D) 56
• Hint: A perfect square means multiplying the number by itself — like 6² = 6 × 6 = 36.
• Steps:
  • 7² = 7 × 7.
  • 7 × 7 = 49.
• Answer: 49

[Easy] Square Roots

• EN: What is √64?
• FR: Quelle est la valeur de √64?
• Choices: A) 6 B) 7 C) 8 D) 9
• Hint: The square root is the number that multiplies by itself to give the result — like √36 = 6 because 6 × 6 = 36.
• Steps:
  • Ask: what number × itself = 64?
  • 8 × 8 = 64, so √64 = 8.
• Answer: 8

[Easy] Mean of a Data Set

• EN: Five students scored 70, 80, 90, 60, and 100 on a math quiz. What is the mean score?
• FR: Cinq élèves ont eu 70, 80, 90, 60 et 100 à un quiz de mathématiques. Quelle est la moyenne?
• Choices: A) 78 B) 80 C) 82 D) 84
• Hint: To find the mean, add all values and divide by how many there are — like 10, 20, 30: sum = 60, 60 ÷ 3 = 20.
• Steps:
  • Sum: 70 + 80 + 90 + 60 + 100 = 400.
  • Mean: 400 ÷ 5 = 80.
• Answer: 80

[Easy] Percent Increase

• EN: A bag of dog food cost $20 last year. This year it costs $24. What is the percent increase?
• FR: Un sac de nourriture pour chien coûtait 20 $ l'an dernier. Cette année, il coûte 24 $. Quel est le pourcentage d'augmentation?
• Choices: A) 15% B) 18% C) 20% D) 25%
• Hint: Percent increase = (change ÷ original) × 100 — like price goes from $10 to $13: change = $3, 3 ÷ 10 × 100 = 30%.
• Steps:
  • Change: $24 − $20 = $4.
  • Percent increase: (4 ÷ 20) × 100 = 20%.
• Answer: 20%

[Medium] Two-Step Linear Equation

• EN: Solve for x: 3x + 5 = 20.
• FR: Résous pour x : 3x + 5 = 20.
• Choices: A) x = 3 B) x = 4 C) x = 5 D) x = 6
• Hint: First subtract the constant, then divide — like 2x + 3 = 11: 2x = 8, x = 4.
• Steps:
  • Subtract 5: 3x = 15.
  • Divide by 3: x = 5.
• Answer: x = 5

[Medium] Pythagorean Theorem

• EN: A right triangle has legs of 6 cm and 8 cm. What is the length of the hypotenuse?
• FR: Un triangle rectangle a des 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 of 3 and 4: 9 + 16 = 25, hypotenuse = √25 = 5.
• Steps:
  • 6² + 8² = c².
  • 36 + 64 = 100.
  • c = √100 = 10 cm.
• Answer: 10 cm

[Medium] Slope Introduction

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

[Medium] Median and Mode

• EN: The data set is: 4, 7, 9, 7, 3, 7, 5. What is the mode?
• FR: L'ensemble de données est : 4, 7, 9, 7, 3, 7, 5. Quel est le mode?
• Choices: A) 4 B) 5 C) 7 D) 9
• Hint: The mode is the value that appears most often — like in 2, 3, 3, 5, 6 the mode is 3.
• Steps:
  • List: 3, 4, 5, 7, 7, 7, 9.
  • 7 appears three times — more than any other.
  • Mode = 7.
• Answer: 7

[Hard] Pythagorean Theorem — Word Problem

• EN: A ramp goes from the ground up to a loading dock. The horizontal distance is 12 m and the ramp is 13 m long. How high is the loading dock?
• FR: Une rampe part du sol jusqu'à un quai de chargement. La distance horizontale est de 12 m et la rampe mesure 13 m de long. Quelle est la hauteur du quai?
• Choices: A) 4 m B) 5 m C) 6 m D) 7 m
• Hint: Use a² + b² = c², solve for the unknown leg — like hypotenuse 10, one leg 6: other leg = √(100 − 36) = √64 = 8.
• Steps:
  • 12² + b² = 13².
  • 144 + b² = 169.
  • b² = 25, b = √25 = 5 m.
• Answer: 5 m

[Hard] Two-Step Equation — Word Problem

• EN: Theo rents a snowboard for a flat fee of $8 plus $6 per hour. He pays $32 in total. For how many hours did he rent the snowboard?
• FR: Théo loue une planche à neige pour des frais fixes de 8 $ plus 6 $ l'heure. Il paie 32 $ en tout. Pendant combien d'heures a-t-il loué la planche?
• Choices: A) 3 hours B) 4 hours C) 5 hours D) 6 hours
• Hint: Set up an equation and solve in two steps — like $5 fee + $3/h = $20: 3h = 15, h = 5 hours.
• Steps:
  • Equation: 8 + 6h = 32.
  • Subtract 8: 6h = 24.
  • Divide: h = 4 hours.
• Answer: 4 hours

[Easy] Solving a Linear Equation

• EN: Solve for x: 2x − 3 = 11.
• FR: Résous pour x : 2x − 3 = 11.
• Choices: A) x = 5 B) x = 6 C) x = 7 D) x = 8
• Hint: Add the constant to both sides, then divide — like 3x − 4 = 5: 3x = 9, x = 3.
• Steps:
  • Add 3: 2x = 14.
  • Divide by 2: x = 7.
• Answer: x = 7

[Easy] Graphing — Slope-Intercept

• EN: A line has equation y = 2x + 1. What is the y-intercept?
• FR: Une droite a pour équation y = 2x + 1. Quel est l'ordonnée à l'origine?
• Choices: A) 1 B) 2 C) 3 D) 4
• Hint: In y = mx + b, b is the y-intercept (where the line crosses the y-axis) — like y = 3x + 5 has y-intercept 5.
• Steps:
  • Compare y = 2x + 1 to y = mx + b.
  • b = 1, so the y-intercept is 1.
• Answer: 1

[Easy] Adding Polynomials

• EN: What is (3x + 4) + (2x + 5)?
• FR: Combien fait (3x + 4) + (2x + 5)?
• Choices: A) 5x + 8 B) 5x + 9 C) 6x + 9 D) 6x + 10
• Hint: Add like terms together — like (4x + 2) + (3x + 7) = 7x + 9.
• Steps:
  • Like terms: 3x + 2x = 5x.
  • Constants: 4 + 5 = 9.
  • Answer: 5x + 9
• Answer: 5x + 9

[Easy] Trigonometry — SOH

• EN: In a right triangle, the side opposite to an angle is 6 cm and the hypotenuse is 10 cm. What is the sine of that angle?
• FR: Dans un triangle rectangle, le côté opposé à un angle mesure 6 cm et l'hypoténuse mesure 10 cm. Quel est le sinus de cet angle?
• Choices: A) 0.4 B) 0.5 C) 0.6 D) 0.8
• Hint: SOH means sin = opposite ÷ hypotenuse — like sin = 3 ÷ 5 = 0.6.
• Steps:
  • sin(angle) = opposite ÷ hypotenuse.
  • sin = 6 ÷ 10 = 0.6.
• Answer: 0.6

[Medium] Linear Inequality

• EN: Solve and graph: 3x + 2 > 11. What values of x satisfy this inequality?
• FR: Résous et représente : 3x + 2 > 11. Quelles valeurs de x satisfont cette inégalité?
• Choices: A) x > 2 B) x > 3 C) x > 4 D) x > 5
• Hint: Solve like an equation — like 2x + 1 > 7: 2x > 6, x > 3.
• Steps:
  • Subtract 2: 3x > 9.
  • Divide by 3: x > 3.
• Answer: x > 3

[Medium] Multiplying Polynomials

• EN: What is (x + 3)(x + 4)?
• FR: Combien fait (x + 3)(x + 4)?
• Choices: A) x² + 6x + 12 B) x² + 7x + 12 C) x² + 7x + 7 D) x² + 12x + 7
• Hint: Use FOIL — like (x + 2)(x + 5) = x² + 5x + 2x + 10 = x² + 7x + 10.
• Steps:
  • First: x × x = x².
  • Outer: x × 4 = 4x. Inner: 3 × x = 3x. Last: 3 × 4 = 12.
  • Combine: x² + 7x + 12.
• Answer: x² + 7x + 12

[Medium] Similar Triangles

• EN: Two similar triangles have sides in ratio 2:3. The smaller triangle has a side of 8 cm. What is the corresponding side in the larger triangle?
• FR: Deux triangles semblables ont des côtés dans un rapport de 2:3. Le plus petit triangle a un côté de 8 cm. Quel est le côté correspondant dans le plus grand triangle?
• Choices: A) 10 cm B) 11 cm C) 12 cm D) 14 cm
• Hint: Set up a proportion — like ratio 3:5 with smaller side 9: 9 ÷ 3 × 5 = 15.
• Steps:
  • Ratio 2:3, smaller side = 8.
  • Scale factor: 8 ÷ 2 = 4.
  • Larger side: 3 × 4 = 12 cm.
• Answer: 12 cm

[Medium] Trigonometry — CAH

• EN: In a right triangle, the adjacent side is 5 cm and the hypotenuse is 13 cm. What is the cosine of the angle?
• FR: Dans un triangle rectangle, le côté adjacent mesure 5 cm et l'hypoténuse mesure 13 cm. Quel est le cosinus de l'angle?
• Choices: A) 5/12 B) 5/13 C) 12/13 D) 13/5
• Hint: CAH means cos = adjacent ÷ hypotenuse — like cos = 4 ÷ 5 = 0.8.
• Steps:
  • cos = adjacent ÷ hypotenuse.
  • cos = 5 ÷ 13 = 5/13.
• Answer: 5/13

[Hard] System of Equations — Substitution

• EN: Solve the system: y = 2x + 1 and y = −x + 7. What is the value of x?
• FR: Résous le 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 = 3x and y = x + 4: 3x = x + 4, 2x = 4, x = 2.
• Steps:
  • Set equal: 2x + 1 = −x + 7.
  • Add x: 3x + 1 = 7.
  • 3x = 6, x = 2.
• Answer: x = 2

[Hard] Trigonometry — Finding an Angle

• EN: In a right triangle, the opposite side is 7 cm and the hypotenuse is 14 cm. Using SOH, what is the angle? (Use sin⁻¹)
• FR: Dans un triangle rectangle, le côté opposé mesure 7 cm et l'hypoténuse mesure 14 cm. En utilisant SOH, quel est l'angle? (Utilisez sin⁻¹)
• Choices: A) 25° B) 30° C) 45° D) 60°
• Hint: sin(angle) = opposite/hypotenuse, then use sin⁻¹ — like sin⁻¹(0.5) = 30°.
• Steps:
  • sin(angle) = 7 ÷ 14 = 0.5.
  • angle = sin⁻¹(0.5) = 30°.
• Answer: 30°

[Easy] Factoring — Common Factor

• EN: Factor completely: 6x² + 9x.
• FR: Factorise complètement : 6x² + 9x.
• Choices: A) 3(2x² + 3) B) 3x(2x + 3) C) 6x(x + 9) D) x(6x + 9)
• Hint: Find the greatest common factor of all terms — like 4x² + 8x = 4x(x + 2).
• Steps:
  • GCF of 6x² and 9x is 3x.
  • Factor out: 3x(2x + 3).
• Answer: 3x(2x + 3)

[Easy] Trigonometry — Finding a Side (TOA)

• EN: In a right triangle, the angle is 45° and the adjacent side is 5 cm. What is the length of the opposite side?
• FR: Dans un triangle rectangle, l'angle est de 45° et le côté adjacent mesure 5 cm. Quelle est la longueur du côté opposé?
• Choices: A) 4 cm B) 5 cm C) 6 cm D) 7 cm
• Hint: TOA means tan(angle) = opposite ÷ adjacent — like tan(45°) = 1, so opposite = adjacent × 1.
• Steps:
  • tan(45°) = 1.
  • opposite = adjacent × tan(45°) = 5 × 1 = 5 cm.
• Answer: 5 cm

[Easy] Systems of Equations

• EN: Solve: x + y = 10 and x − y = 4. What is x?
• FR: Résous : x + y = 10 et x − y = 4. Quelle est la valeur de x?
• Choices: A) x = 5 B) x = 6 C) x = 7 D) x = 8
• Hint: Add the two equations to eliminate y — like x + y = 8 and x − y = 2: add to get 2x = 10, x = 5.
• Steps:
  • Add equations: (x + y) + (x − y) = 10 + 4.
  • 2x = 14, so x = 7.
• Answer: x = 7

[Easy] Volume of a Cylinder

• EN: A cylinder has radius 3 cm and height 10 cm. What is its volume? (Use π ≈ 3.14)
• FR: Un cylindre a un rayon de 3 cm et une hauteur de 10 cm. Quel est son volume? (Utilise π ≈ 3,14)
• Choices: A) 251.2 cm³ B) 271.4 cm³ C) 282.6 cm³ D) 300.0 cm³
• Hint: V = π r²h — like a cylinder with r = 2 and h = 5: V = 3.14 × 4 × 5 = 62.8 cm³.
• Steps:
  • V = 3.14 × 3² × 10.
  • 3² = 9; 3.14 × 9 = 28.26.
  • 28.26 × 10 = 282.6 cm³.
• Answer: 282.6 cm³

[Medium] Factoring Trinomials

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

[Medium] Quadratic Equation by Factoring

• EN: Solve: x² − 7x + 12 = 0.
• FR: Résous : x² − 7x + 12 = 0.
• Choices: A) x = 2 or x = 6 B) x = 3 or x = 4 C) x = 4 or x = 6 D) x = 1 or x = 12
• Hint: Factor the trinomial, then set each factor to zero — like x² − 5x + 6 = 0: (x − 2)(x − 3) = 0, x = 2 or 3.
• Steps:
  • Factor: (x − 3)(x − 4) = 0.
  • x − 3 = 0 → x = 3; x − 4 = 0 → x = 4.
• Answer: x = 3 or x = 4

[Medium] Circle Geometry

• EN: A circle has a diameter of 16 cm. What is its circumference? (Use π ≈ 3.14)
• FR: Un cercle a un diamètre de 16 cm. Quelle est sa circonférence? (Utilise π ≈ 3,14)
• Choices: A) 48.24 cm B) 50.24 cm C) 52.14 cm D) 56.52 cm
• Hint: Circumference = π × d — like a circle with d = 10: C = 3.14 × 10 = 31.4 cm.
• Steps:
  • C = π × d = 3.14 × 16.
  • 3.14 × 16 = 50.24 cm.
• Answer: 50.24 cm

[Medium] Trigonometry — Finding a Side (SOH)

• EN: In a right triangle, the angle is 30° and the hypotenuse is 20 cm. What is the length of the side opposite the angle?
• FR: Dans un triangle rectangle, l'angle est de 30° et l'hypoténuse mesure 20 cm. Quelle est la longueur du côté opposé à l'angle?
• Choices: A) 8 cm B) 9 cm C) 10 cm D) 12 cm
• Hint: sin(angle) = opposite ÷ hypotenuse — like sin(30°) = 0.5, so opposite = hypotenuse × 0.5.
• Steps:
  • sin(30°) = 0.5.
  • opposite = 20 × 0.5 = 10 cm.
• Answer: 10 cm

[Hard] Completing the Square

• EN: Solve by completing the square: x² + 6x + 5 = 0.
• FR: Résous en complétant le carré : x² + 6x + 5 = 0.
• Choices: A) x = −1 or x = −5 B) x = 1 or x = 5 C) x = −2 or x = −3 D) x = 2 or x = 3
• Hint: Rewrite as (x + b/2)² and solve — like x² + 4x + 3 = 0: (x + 2)² − 4 + 3 = 0, (x + 2)² = 1, x = −1 or −3.
• Steps:
  • x² + 6x + 5 = 0; move constant: x² + 6x = −5.
  • Complete the square: (x + 3)² = 9 − 5 = 4.
  • x + 3 = ±2; x = −1 or x = −5.
• Answer: x = −1 or x = −5

[Hard] Surface Area of a Cone

• EN: A cone has radius 6 cm and slant height 10 cm. What is its total surface area? (Use π ≈ 3.14)
• FR: Un cône a un rayon de 6 cm et une hauteur inclinée de 10 cm. Quelle est son aire de surface totale? (Utilise π ≈ 3,14)
• Choices: A) 282.6 cm² B) 301.4 cm² C) 376.8 cm² D) 452.2 cm²
• Hint: SA of cone = πr(r + l) — like r = 3, l = 5: SA = 3.14 × 3 × (3 + 5) = 3.14 × 3 × 8 = 75.36 cm².
• Steps:
  • SA = πr(r + l) = 3.14 × 6 × (6 + 10).
  • 6 + 10 = 16; 3.14 × 6 = 18.84.
  • 18.84 × 16 = 301.44 ≈ 301.4 cm².
• Answer: 301.4 cm²

[Easy] Identifying Function Types

• EN: Which equation represents an exponential function?
• FR: Quelle équation représente une fonction exponentielle?
• Choices: A) y = 3x + 2 B) y = x² C) y = 2^x D) y = 1/x
• Hint: An exponential function has the variable as the exponent — like y = 5^x grows very fast.
• Steps:
  • y = 3x + 2 is linear (x to power 1).
  • y = x² is quadratic.
  • y = 2^x has x as the exponent, so it is exponential.
• Answer: y = 2^x

[Easy] Logarithm Introduction

• EN: What is log₂(8)?
• FR: Quelle est la valeur de log₂(8)?
• Choices: A) 1 B) 2 C) 3 D) 4
• Hint: log base b of x asks "what power makes b equal to x?" — like log₃(9) = 2 because 3² = 9.
• Steps:
  • Ask: 2 to what power equals 8?
  • 2³ = 8, so log₂(8) = 3.
• Answer: 3

[Easy] Arithmetic Sequence

• EN: The first term of an arithmetic sequence is 5 and the common difference is 3. What is the 4th term?
• FR: Le premier terme d'une suite arithmétique est 5 et la raison est 3. Quel est le 4e terme?
• Choices: A) 11 B) 14 C) 17 D) 20
• Hint: Use the formula aₙ = a₁ + (n − 1)d — like a₁ = 2, d = 4: a₄ = 2 + 3 × 4 = 14.
• Steps:
  • a₄ = 5 + (4 − 1) × 3.
  • a₄ = 5 + 9 = 14.
• Answer: 14

[Easy] Compound Interest

• EN: You invest $1000 at an annual interest rate of 5%, compounded annually. What is the amount after 1 year?
• FR: Tu investis 1 000 $ à un taux d'intérêt annuel de 5 %, composé annuellement. Quel est le montant après 1 an?
• Choices: A) $1040 B) $1050 C) $1055 D) $1060
• Hint: A = P(1 + r)^t — like $500 at 4% for 1 year: 500 × 1.04 = $520.
• Steps:
  • A = 1000 × (1 + 0.05)^1.
  • A = 1000 × 1.05 = $1050.
• Answer: $1050

[Medium] Quadratic Function — Vertex

• EN: What are the coordinates of the vertex of y = (x − 3)² + 4?
• FR: Quelles sont les coordonnées du sommet de y = (x − 3)² + 4?
• Choices: A) (3, 4) B) (−3, 4) C) (4, 3) D) (3, −4)
• Hint: In y = (x − h)² + k, the vertex is (h, k) — like y = (x − 2)² + 5 has vertex (2, 5).
• Steps:
  • y = (x − 3)² + 4 is in vertex form.
  • h = 3, k = 4.
  • Vertex: (3, 4).
• Answer: (3, 4)

[Medium] Geometric Sequence

• EN: A geometric sequence has first term 2 and common ratio 3. What is the 5th term?
• FR: Une suite géométrique a pour premier terme 2 et pour raison 3. Quel est le 5e terme?
• Choices: A) 54 B) 108 C) 162 D) 486
• Hint: Use aₙ = a₁ × r^(n−1) — like a₁ = 4, r = 2: a₅ = 4 × 2⁴ = 4 × 16 = 64.
• Steps:
  • a₅ = 2 × 3^(5−1) = 2 × 3⁴.
  • 3⁴ = 81; 2 × 81 = 162.
• Answer: 162

[Medium] Trigonometric Identity

• EN: Simplify: sin²θ + cos²θ.
• FR: Simplifie : sin²θ + cos²θ.
• Choices: A) 0 B) 1 C) 2sinθcosθ D) tanθ
• Hint: This is the Pythagorean identity — like knowing that a² + b² = c² for right triangles, there is a matching trig identity.
• Steps:
  • The Pythagorean identity states sin²θ + cos²θ = 1.
  • This is always true for any angle θ.
• Answer: 1

[Medium] Financial Math — Annuity

• EN: You deposit $200 per month into a savings account. After 3 months (no interest), how much do you have?
• FR: Tu déposes 200 $ par mois dans un compte d'épargne. Après 3 mois (sans intérêts), combien as-tu?
• Choices: A) $400 B) $500 C) $600 D) $700
• Hint: Multiply the regular payment by the number of periods — like $150 × 4 months = $600.
• Steps:
  • Total = $200 × 3.
  • $200 × 3 = $600.
• Answer: $600

[Hard] Compound Interest — Multi-Year

• EN: $2000 is invested at 6% per year, compounded annually, for 3 years. What is the amount? (Round to the nearest cent.)
• FR: 2 000 $ sont investis à 6 % par an, composé annuellement, pendant 3 ans. Quel est le montant? (Arrondis au cent près.)
• Choices: A) $2360.00 B) $2382.03 C) $2382.51 D) $2400.00
• Hint: A = P(1 + r)^t — like $1000 at 5% for 2 years: 1000 × 1.05² = 1000 × 1.1025 = $1102.50.
• Steps:
  • A = 2000 × (1.06)³.
  • 1.06² = 1.1236; 1.1236 × 1.06 = 1.191016.
  • A = 2000 × 1.191016 = $2382.03.
• Answer: $2382.03

[Hard] Logarithm — Solving an Equation

• EN: Solve for x: 3^x = 81.
• FR: Résous pour x : 3^x = 81.
• Choices: A) x = 3 B) x = 4 C) x = 5 D) x = 27
• Hint: Write both sides with the same base — like 2^x = 32: 32 = 2⁵, so x = 5.
• Steps:
  • Write 81 as a power of 3: 81 = 3⁴.
  • 3^x = 3⁴, so x = 4.
• Answer: x = 4

[Easy] Permutations

• EN: In how many ways can 4 students line up for a photograph?
• FR: De combien de façons 4 élèves peuvent-ils se mettre en rang pour une photo?
• Choices: A) 12 B) 16 C) 24 D) 48
• Hint: The number of arrangements of n items is n! — like 3! = 3 × 2 × 1 = 6.
• Steps:
  • 4! = 4 × 3 × 2 × 1.
  • 4! = 24.
• Answer: 24

[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 dans un groupe de 5?
• Choices: A) 8 B) 10 C) 15 D) 20
• Hint: Use 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] Derivative — Basic Rule

• EN: What is the derivative of f(x) = x³?
• FR: Quelle est la dérivée de f(x) = x³?
• Choices: A) x² B) 2x² C) 3x² D) 3x³
• Hint: Use the power rule: d/dx(xⁿ) = nxⁿ⁻¹ — like d/dx(x⁴) = 4x³.
• Steps:
  • Apply power rule: bring down the exponent, reduce by 1.
  • d/dx(x³) = 3x².
• Answer: 3x²

[Easy] Probability Distribution

• EN: A fair coin is flipped twice. What is the probability of getting exactly 2 heads?
• FR: On lance une pièce de monnaie équilibrée deux fois. Quelle est la probabilité d'obtenir exactement 2 faces?
• Choices: A) 1/2 B) 1/4 C) 1/3 D) 3/4
• Hint: Multiply independent probabilities — like P(H) × P(H) = 1/2 × 1/2 = 1/4.
• Steps:
  • P(HH) = P(H) × P(H) = 1/2 × 1/2.
  • = 1/4.
• Answer: 1/4

[Medium] Polynomial Function — Zeros

• EN: What are the zeros of f(x) = (x − 2)(x + 5)?
• FR: Quels sont les zéros de f(x) = (x − 2)(x + 5)?
• Choices: A) x = 2 and x = 5 B) x = −2 and x = 5 C) x = 2 and x = −5 D) x = −2 and x = −5
• Hint: Set each factor to zero and solve — like (x − 3)(x + 4) = 0 gives x = 3 or x = −4.
• Steps:
  • x − 2 = 0 → x = 2.
  • x + 5 = 0 → x = −5.
• Answer: x = 2 and x = −5

[Medium] Derivative — Rate of Change

• EN: A ball's position is given by s(t) = 4t² + 3t. What is the velocity (derivative) at t = 2?
• FR: La position d'une balle est donnée par s(t) = 4t² + 3t. Quelle est la vitesse (dérivée) à t = 2?
• Choices: A) 16 B) 17 C) 18 D) 19
• Hint: Differentiate first, then substitute — like s(t) = 3t²: s'(t) = 6t, at t = 2: s'(2) = 12.
• Steps:
  • s'(t) = 8t + 3.
  • At t = 2: s'(2) = 8(2) + 3 = 16 + 3 = 19.
• Answer: 19

[Medium] Vectors — Addition

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

[Medium] Rational Function — Asymptote

• EN: What is the vertical asymptote of f(x) = 1/(x − 4)?
• FR: Quelle est l'asymptote verticale de f(x) = 1/(x − 4)?
• Choices: A) x = −4 B) x = 0 C) x = 1 D) x = 4
• Hint: The vertical asymptote is where the denominator equals zero — like f(x) = 1/(x + 3) has asymptote at x = −3.
• Steps:
  • Set the denominator equal to zero: x − 4 = 0.
  • x = 4.
• Answer: x = 4

[Hard] Binomial Probability

• EN: A multiple-choice test has 4 questions, each with 2 options (A or B). What is the probability of answering exactly 3 questions correctly by guessing?
• FR: Un test à choix multiple a 4 questions, chacune avec 2 options (A ou B). Quelle est la probabilité de répondre exactement à 3 questions correctement en devinant?
• Choices: A) 1/4 B) 1/8 C) 3/8 D) 1/16
• Hint: Use P = C(n,k) × p^k × (1−p)^(n−k) — like 3 flips, 2 heads: C(3,2) × (1/2)² × (1/2)¹ = 3 × 1/4 × 1/2 = 3/8.
• Steps:
  • n = 4, k = 3, p = 1/2.
  • C(4,3) = 4.
  • P = 4 × (1/2)³ × (1/2)¹ = 4 × 1/8 × 1/2 = 4/16 = 1/4.
• Answer: 1/4

[Hard] Derivative — Tangent Line Slope

• EN: The function is f(x) = x³ − 3x. What is the slope of the tangent line at x = 2?
• FR: La fonction est f(x) = x³ − 3x. Quelle est la pente de la tangente à x = 2?
• Choices: A) 6 B) 7 C) 8 D) 9
• Hint: Find f'(x) using the power rule, then substitute x — like f(x) = x² − 2x: f'(x) = 2x − 2, at x = 3: f'(3) = 4.
• Steps:
  • f'(x) = 3x² − 3.
  • At x = 2: f'(2) = 3(4) − 3 = 12 − 3 = 9.
• Answer: 9