Daily Math — 2026-07-16

[Easy] Counting to 20

• EN: There are 7 apples on the table and 5 more apples in a basket. How many apples are there in all?
• FR: Il y a 7 pommes sur la table et 5 autres pommes dans un panier. Combien y a-t-il de pommes en tout?
• Choices: A) 10 B) 11 C) 12 D) 13
• Hint: To add two numbers, count on from the bigger number (e.g., 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] Subtraction Within 20

• EN: Liam has 15 stickers and gives 6 to his friend. How many stickers does Liam have left?
• FR: Liam a 15 autocollants et en donne 6 à son ami. Combien d'autocollants Liam a-t-il restants?
• Choices: A) 7 B) 8 C) 9 D) 11
• Hint: To subtract, count backwards from the bigger number (e.g., 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 Liam has 9 stickers left.
• Answer: 9

[Easy] Skip Counting by 5s

• EN: Count by 5s. What number comes after 20?
• FR: Compte par 5. Quel nombre vient après 20?
• Choices: A) 22 B) 24 C) 25 D) 30
• Hint: When you skip count by 5s, you add 5 each time (e.g., 10, 15, 20, …).
• Steps:
  • The pattern goes 5, 10, 15, 20, …
  • Add 5 to 20: 20 + 5 = 25.
  • So the next number is 25.
• Answer: 25

[Easy] Comparing Numbers

• EN: Which number is greater: 14 or 9?
• FR: Quel nombre est plus grand : 14 ou 9?
• Choices: A) 9 B) 11 C) 14 D) 18
• Hint: The number that is farther along the number line is greater (e.g., 7 is greater than 3 because 7 comes after 3).
• Steps:
  • Place both numbers on a number line: …9…10…11…12…13…14…
  • 14 is farther to the right than 9.
  • So 14 is greater.
• Answer: 14

[Medium] Adding Three Numbers

• EN: Sofia has 4 red crayons, 3 blue crayons, and 6 yellow crayons. How many crayons does she have in all?
• FR: Sofia a 4 crayons rouges, 3 crayons bleus et 6 crayons jaunes. Combien de crayons a-t-elle en tout?
• Choices: A) 10 B) 12 C) 13 D) 14
• Hint: Add the first two numbers, then add the third (e.g., 2 + 3 + 5: first 2 + 3 = 5, then 5 + 5 = 10).
• Steps:
  • Add the first two: 4 + 3 = 7.
  • Add the third: 7 + 6 = 13.
  • So Sofia has 13 crayons.
• Answer: 13

[Medium] Skip Counting by 2s

• EN: Count by 2s starting from 2. What is the 6th number?
• FR: Compte par 2 en commençant à 2. Quel est le 6e nombre?
• Choices: A) 10 B) 11 C) 12 D) 14
• Hint: Each step adds 2 (e.g., starting at 4: 4, 6, 8, 10 — the 4th number is 10).
• Steps:
  • 1st: 2, 2nd: 4, 3rd: 6, 4th: 8, 5th: 10, 6th: 12.
  • The 6th number is 12.
• Answer: 12

[Medium] Coin Recognition

• EN: You have 2 nickels and 1 dime. How many cents do you have in all?
• FR: Tu as 2 pièces de 5 cents et 1 pièce de 10 cents. Combien de cents as-tu en tout?
• Choices: A) 15 cents B) 17 cents C) 20 cents D) 25 cents
• Hint: A nickel is worth 5 cents and a dime is worth 10 cents (e.g., 1 nickel + 1 dime = 5 + 10 = 15 cents).
• Steps:
  • 2 nickels = 5 + 5 = 10 cents.
  • 1 dime = 10 cents.
  • Total: 10 + 10 = 20 cents.
• Answer: 20 cents

[Medium] Subtraction Story

• EN: There are 18 children on the playground. 9 go inside. How many children are still outside?
• FR: Il y a 18 enfants dans la cour de récréation. 9 rentrent à l'intérieur. Combien d'enfants sont encore dehors?
• Choices: A) 7 B) 8 C) 9 D) 11
• Hint: To find how many are left, subtract (e.g., 14 − 6 = 8 by counting back 6 from 14).
• Steps:
  • Start at 18.
  • Count back 9: 17, 16, 15, 14, 13, 12, 11, 10, 9.
  • So 9 children are still outside.
• Answer: 9

[Hard] Number Patterns

• EN: What are the two missing numbers in this pattern: 3, 6, 9, ___, 15, ___?
• FR: Quels sont les deux nombres manquants dans ce modèle : 3, 6, 9, ___, 15, ___?
• Choices: A) 11 and 17 B) 12 and 18 C) 13 and 19 D) 14 and 20
• Hint: Look at how much each number grows (e.g., in 2, 4, 6, ___, each number grows by 2, so the missing number is 8).
• Steps:
  • Find the pattern: 6 − 3 = 3, so add 3 each time.
  • After 9: 9 + 3 = 12.
  • After 15: 15 + 3 = 18. The missing numbers are 12 and 18.
• Answer: 12 and 18

[Hard] Comparing and Adding

• EN: Maya counted 11 hockey cards and her brother counted 8 hockey cards. How many more cards does Maya have than her brother?
• FR: Maya a compté 11 cartes de hockey et son frère en a compté 8. Combien de cartes de plus Maya a-t-elle que son frère?
• Choices: A) 2 B) 3 C) 4 D) 19
• Hint: To find "how many more," subtract the smaller number from the bigger one (e.g., 9 − 6 = 3 more).
• Steps:
  • Subtract: 11 − 8 = ?
  • Count back 8 from 11: 10, 9, 8, 7, 6, 5, 4, 3.
  • Maya has 3 more cards than her brother.
• Answer: 3

[Easy] Addition Within 100

• EN: What is 34 + 25?
• FR: Combien font 34 + 25?
• Choices: A) 55 B) 57 C) 59 D) 61
• Hint: Add the ones first, then the tens (e.g., 23 + 14: ones 3 + 4 = 7, tens 2 + 1 = 3, answer 37).
• Steps:
  • Ones: 4 + 5 = 9.
  • Tens: 3 + 2 = 5.
  • So 34 + 25 = 59.
• Answer: 59

[Easy] Subtraction Within 100

• EN: What is 72 − 31?
• FR: Combien font 72 − 31?
• Choices: A) 39 B) 41 C) 43 D) 47
• Hint: Subtract the ones first, then the tens (e.g., 85 − 42: ones 5 − 2 = 3, tens 8 − 4 = 4, answer 43).
• Steps:
  • Ones: 2 − 1 = 1.
  • Tens: 7 − 3 = 4.
  • So 72 − 31 = 41.
• Answer: 41

[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 petite aiguille sur le 3 et la grande aiguille sur le 12. Quelle heure est-il?
• Choices: A) 1:00 B) 2:00 C) 3:00 D) 12:00
• Hint: When the minute hand is on the 12, it is exactly on the hour shown by the hour hand (e.g., hour hand on 5, minute hand on 12 → 5:00).
• Steps:
  • The minute hand on the 12 means it is exactly on the hour.
  • The hour hand is on the 3.
  • So the time is 3:00.
• Answer: 3:00

[Easy] Measuring Length

• EN: A pencil is 14 cm long. A crayon is 9 cm long. How much longer is the pencil than the crayon?
• FR: Un crayon à mine mesure 14 cm de long. Un crayon de couleur mesure 9 cm de long. De combien le crayon à mine est-il plus long?
• Choices: A) 4 cm B) 5 cm C) 6 cm D) 23 cm
• Hint: To find the difference in lengths, subtract the shorter from the longer (e.g., 12 cm − 7 cm = 5 cm).
• Steps:
  • Subtract: 14 − 9 = ?
  • 14 − 9 = 5.
  • The pencil is 5 cm longer.
• Answer: 5 cm

[Medium] Counting Coins

• EN: You have 3 dimes, 2 nickels, and 1 penny. How many cents do you have in all?
• FR: Tu as 3 pièces de 10 cents, 2 pièces de 5 cents et 1 cent. Combien de cents as-tu en tout?
• Choices: A) 38 cents B) 40 cents C) 41 cents D) 46 cents
• Hint: Count each type of coin (e.g., 2 dimes = 20 cents, 1 nickel = 5 cents, 2 pennies = 2 cents → total 27 cents).
• Steps:
  • 3 dimes = 30 cents.
  • 2 nickels = 10 cents.
  • 1 penny = 1 cent. Total: 30 + 10 + 1 = 41 cents.
• Answer: 41 cents

[Medium] Telling Time to Half-Hour

• EN: The clock shows the hour hand halfway between 7 and 8, and the minute hand on the 6. What time is it?
• FR: L'horloge montre la petite aiguille à mi-chemin entre 7 et 8, et la grande aiguille sur le 6. Quelle heure est-il?
• Choices: A) 6:30 B) 7:00 C) 7:30 D) 8:30
• Hint: When the minute hand is on the 6, it is 30 minutes past the hour the hour hand just passed (e.g., hour hand between 4 and 5, minute hand on 6 → 4:30).
• Steps:
  • Minute hand on the 6 = 30 minutes past the hour.
  • The hour hand just passed the 7.
  • So the time is 7:30.
• Answer: 7:30

[Medium] Simple Patterns

• EN: Look at the pattern: 5, 10, 15, 20, ___. What is the missing number?
• FR: Regarde le modèle : 5, 10, 15, 20, ___. Quel est le nombre manquant?
• Choices: A) 22 B) 23 C) 24 D) 25
• Hint: Find the rule by checking how much each number increases (e.g., 3, 6, 9, 12: each goes up by 3, so the next is 15).
• Steps:
  • 10 − 5 = 5; the pattern adds 5 each time.
  • 20 + 5 = 25.
  • The missing number is 25.
• Answer: 25

[Medium] Addition With Regrouping

• EN: What is 47 + 36?
• FR: Combien font 47 + 36?
• Choices: A) 73 B) 81 C) 83 D) 87
• Hint: Add ones first; if they total 10 or more, carry the ten (e.g., 38 + 25: 8 + 5 = 13, write 3 carry 1; 3 + 2 + 1 = 6 → 63).
• Steps:
  • Ones: 7 + 6 = 13. Write 3, carry 1.
  • Tens: 4 + 3 + 1 = 8.
  • So 47 + 36 = 83.
• Answer: 83

[Hard] Two-Step Problem

• EN: Emma had 55 cents. She spent 20 cents on a sticker and then found a dime on the ground. How much money does she have now?
• FR: Emma avait 55 cents. Elle a dépensé 20 cents pour un autocollant, puis a trouvé une pièce de 10 cents par terre. Combien d'argent a-t-elle maintenant?
• Choices: A) 35 cents B) 40 cents C) 45 cents D) 65 cents
• Hint: Do two steps: first subtract what was spent, then add what was found (e.g., 60 − 15 + 10 = 55 cents).
• Steps:
  • Step 1: 55 − 20 = 35 cents.
  • Step 2: 35 + 10 = 45 cents.
  • Emma now has 45 cents.
• Answer: 45 cents

[Hard] Measuring and Comparing

• EN: A bookshelf is 90 cm wide. Three books are placed side by side. The first book is 28 cm wide, the second is 31 cm wide, and the third is 25 cm wide. How much space is left on the shelf?
• FR: Une étagère mesure 90 cm de large. Trois livres sont placés côte à côte. Le premier livre mesure 28 cm de large, le deuxième 31 cm et le troisième 25 cm. Combien d'espace reste-t-il sur l'étagère?
• Choices: A) 4 cm B) 5 cm C) 6 cm D) 8 cm
• Hint: Add all three widths together, then subtract from the total shelf width (e.g., shelf 80 cm, books 20 + 25 + 30 = 75 cm, space left = 80 − 75 = 5 cm).
• Steps:
  • Add the three books: 28 + 31 + 25 = 84 cm.
  • Subtract from the shelf: 90 − 84 = 6 cm.
  • There are 6 cm of space left.
• Answer: 6 cm

[Easy] Multiplication by 2

• EN: What is 2 × 8?
• FR: Combien font 2 × 8?
• Choices: A) 10 B) 14 C) 16 D) 18
• Hint: Multiplying by 2 means adding the number to itself (e.g., 2 × 6 = 6 + 6 = 12).
• Steps:
  • 2 × 8 means 8 + 8.
  • 8 + 8 = 16.
  • So 2 × 8 = 16.
• Answer: 16

[Easy] Multiplication by 5

• EN: There are 5 bags of apples. Each bag has 4 apples. How many apples are there in all?
• FR: Il y a 5 sacs de pommes. Chaque sac contient 4 pommes. Combien y a-t-il de pommes en tout?
• Choices: A) 9 B) 18 C) 20 D) 25
• Hint: Multiply the number of groups by the number in each group (e.g., 5 bags × 3 apples = 15 apples).
• Steps:
  • 5 bags × 4 apples each = 5 × 4.
  • 5 × 4 = 20.
  • There are 20 apples in all.
• Answer: 20

[Easy] Basic Fractions

• EN: A pizza is cut into 4 equal slices. You eat 1 slice. What fraction of the pizza did you eat?
• FR: Une pizza est coupée en 4 parts égales. Tu manges 1 part. Quelle fraction de la pizza as-tu mangée?
• Choices: A) 1/2 B) 1/3 C) 1/4 D) 2/4
• Hint: A fraction shows parts out of a whole (e.g., if a pie has 3 equal pieces and you take 1, you have 1/3).
• Steps:
  • The pizza has 4 equal pieces in total.
  • You ate 1 piece.
  • You ate 1 out of 4, which is 1/4.
• Answer: 1/4

[Easy] Basic Division

• EN: There are 15 hockey pucks shared equally among 3 players. How many pucks does each player get?
• FR: Il y a 15 rondelles de hockey partagées également entre 3 joueurs. Combien de rondelles chaque joueur reçoit-il?
• Choices: A) 3 B) 4 C) 5 D) 6
• Hint: Division means splitting into equal groups (e.g., 12 ÷ 3: put 12 things into 3 equal groups → 4 in each group).
• Steps:
  • 15 ÷ 3 = ?
  • 3 × 5 = 15, so 15 ÷ 3 = 5.
  • Each player gets 5 pucks.
• Answer: 5

[Medium] Perimeter

• 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) 10 cm B) 20 cm C) 24 cm D) 28 cm
• Hint: Perimeter = add all four sides (e.g., a rectangle 5 cm × 3 cm: 5 + 3 + 5 + 3 = 16 cm).
• Steps:
  • Two long sides: 6 + 6 = 12 cm.
  • Two short sides: 4 + 4 = 8 cm.
  • Perimeter = 12 + 8 = 20 cm.
• Answer: 20 cm

[Medium] Multiplication by 10

• EN: There are 7 boxes of donuts from Tim Hortons. Each box has 10 donuts. How many donuts are there altogether?
• FR: Il y a 7 boîtes de beignes de Tim Hortons. Chaque boîte contient 10 beignes. Combien y a-t-il de beignes en tout?
• Choices: A) 17 B) 60 C) 70 D) 100
• Hint: Any number times 10 ends in a zero (e.g., 6 × 10 = 60; 9 × 10 = 90).
• Steps:
  • 7 × 10 = 70.
  • There are 70 donuts altogether.
• Answer: 70

[Medium] Reading a Simple Graph

• EN: A bar graph shows that 12 students like hockey, 8 like soccer, and 5 like basketball. How many more students like hockey than basketball?
• FR: Un diagramme à barres montre que 12 élèves aiment le hockey, 8 aiment le soccer et 5 aiment le basketball. Combien d'élèves de plus aiment le hockey que le basketball?
• Choices: A) 4 B) 6 C) 7 D) 17
• Hint: To find "how many more," subtract the smaller bar from the larger bar (e.g., 10 − 4 = 6 more).
• Steps:
  • Hockey: 12 students, Basketball: 5 students.
  • Subtract: 12 − 5 = 7.
  • Seven more students like hockey than basketball.
• Answer: 7

[Medium] Multiplication by 3

• EN: Each table in the classroom has 3 pencil cases. There are 9 tables. How many pencil cases are there altogether?
• FR: Chaque table dans la salle de classe a 3 trousses. Il y a 9 tables. Combien y a-t-il de trousses en tout?
• Choices: A) 12 B) 18 C) 24 D) 27
• Hint: Multiply groups by size (e.g., 9 tables × 2 pencil cases = 18).
• Steps:
  • 9 × 3 = ?
  • 9 × 3 = 27.
  • There are 27 pencil cases altogether.
• Answer: 27

[Hard] Fractions of a Group

• EN: There are 12 students in a reading group. One quarter of them chose a science book. How many students chose a science book?
• FR: Il y a 12 élèves dans un groupe de lecture. Le quart d'entre eux a choisi un livre de sciences. Combien d'élèves ont choisi un livre de sciences?
• Choices: A) 2 B) 3 C) 4 D) 6
• Hint: To find 1/4 of a group, divide the total by 4 (e.g., 1/4 of 20 = 20 ÷ 4 = 5).
• Steps:
  • 1/4 of 12 = 12 ÷ 4.
  • 12 ÷ 4 = 3.
  • Three students chose a science book.
• Answer: 3

[Hard] Two-Step Multiplication and Addition

• EN: Aisha bought 4 packs of stickers. Each pack has 8 stickers. She also had 7 stickers at home. How many stickers does she have in all?
• FR: Aisha a acheté 4 paquets d'autocollants. Chaque paquet contient 8 autocollants. Elle avait aussi 7 autocollants à la maison. Combien d'autocollants a-t-elle en tout?
• Choices: A) 33 B) 35 C) 37 D) 39
• Hint: Multiply first, then add the extra amount (e.g., 3 packs × 5 stickers = 15, plus 6 extra = 21).
• Steps:
  • Multiply: 4 × 8 = 32 stickers from packs.
  • Add the stickers at home: 32 + 7 = 39.
  • Aisha has 39 stickers in all.
• Answer: 39

[Easy] Multiplication Facts to 9×9

• EN: What is 7 × 8?
• FR: Combien font 7 × 8?
• Choices: A) 48 B) 54 C) 56 D) 63
• Hint: Use a known fact to help (e.g., 7 × 7 = 49, so 7 × 8 = 49 + 7 = 56).
• Steps:
  • Recall: 7 × 8 is a multiplication fact.
  • 7 × 8 = 56.
  • So the answer is 56.
• Answer: 56

[Easy] Decimal Place Value

• EN: In the number 3.47, what digit is in the tenths place?
• FR: Dans le nombre 3,47, quel chiffre est à la position des dixièmes?
• Choices: A) 3 B) 4 C) 7 D) 47
• Hint: In a decimal number, the first digit after the decimal point is in the tenths place (e.g., in 5.82, the tenths digit is 8).
• Steps:
  • The number is 3.47.
  • The digit right after the decimal point is 4.
  • So 4 is in the tenths place.
• Answer: 4

[Easy] Area of a Rectangle

• EN: A rectangle has a length of 9 cm and a width of 5 cm. What is its area?
• FR: Un rectangle a une longueur de 9 cm et une largeur de 5 cm. Quelle est son aire?
• Choices: A) 14 cm² B) 28 cm² C) 40 cm² D) 45 cm²
• Hint: Area of a rectangle = length × width (e.g., 7 cm × 4 cm = 28 cm²).
• Steps:
  • Area = length × width.
  • Area = 9 × 5 = 45.
  • The area is 45 cm².
• Answer: 45 cm²

[Easy] Comparing Fractions

• EN: Which fraction is larger: 3/4 or 1/4?
• FR: Quelle fraction est plus grande : 3/4 ou 1/4?
• Choices: A) 1/4 B) 2/4 C) 3/4 D) 4/4
• Hint: When denominators are the same, the fraction with the bigger numerator is larger (e.g., 5/8 > 3/8 because 5 > 3).
• Steps:
  • Both fractions have the same denominator (4).
  • Compare the numerators: 3 > 1.
  • So 3/4 is larger.
• Answer: 3/4

[Medium] Long Division With Remainder

• EN: What is 47 ÷ 5?
• FR: Combien font 47 ÷ 5?
• Choices: A) 8 remainder 5 B) 9 remainder 2 C) 10 remainder 3 D) 11 remainder 1
• Hint: Divide to find how many times the divisor fits, then subtract to find the remainder (e.g., 29 ÷ 4: 4 × 7 = 28, remainder = 29 − 28 = 1, so 7 remainder 1).
• Steps:
  • 5 × 9 = 45, which is less than 47.
  • 5 × 10 = 50, which is too big.
  • 47 − 45 = 2, so 47 ÷ 5 = 9 remainder 2.
• Answer: 9 remainder 2

[Medium] Elapsed Time

• EN: A hockey game starts at 1:15 p.m. and ends at 3:45 p.m. How long is the game?
• FR: Un match de hockey commence à 13 h 15 et se termine à 15 h 45. Combien de temps dure le match?
• Choices: A) 1 hour 30 minutes B) 2 hours C) 2 hours 30 minutes D) 3 hours 15 minutes
• Hint: Count from the start time to the end time in two steps — first count full hours, then extra minutes (e.g., 2:10 p.m. to 4:40 p.m.: 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 more minutes.
  • Total: 2 hours 30 minutes.
• Answer: 2 hours 30 minutes

[Medium] Multi-Digit Multiplication

• EN: What is 34 × 6?
• FR: Combien font 34 × 6?
• Choices: A) 184 B) 194 C) 204 D) 214
• Hint: Multiply the ones, then the tens, and add the carry (e.g., 23 × 4: 3 × 4 = 12, write 2 carry 1; 2 × 4 = 8, plus 1 = 9 → 92).
• Steps:
  • Ones: 4 × 6 = 24. Write 4, carry 2.
  • Tens: 3 × 6 = 18, plus 2 = 20.
  • So 34 × 6 = 204.
• Answer: 204

[Medium] Decimal Operations

• EN: What is 2.5 + 1.3?
• FR: Combien font 2,5 + 1,3?
• Choices: A) 3.5 B) 3.7 C) 3.8 D) 4.2
• Hint: Line up the decimal points and add as usual (e.g., 3.2 + 1.5: tenths 2 + 5 = 7, ones 3 + 1 = 4 → 4.7).
• Steps:
  • Tenths: 5 + 3 = 8.
  • Ones: 2 + 1 = 3.
  • So 2.5 + 1.3 = 3.8.
• Answer: 3.8

[Hard] Long Division Multi-Step

• EN: A school ordered 126 pencils for 6 classrooms. Each classroom gets an equal number. How many pencils does each classroom receive?
• FR: Une école a commandé 126 crayons pour 6 classes. Chaque classe reçoit un nombre égal. Combien de crayons chaque classe reçoit-elle?
• Choices: A) 18 B) 20 C) 21 D) 24
• Hint: For larger division, work one digit at a time from left to right (e.g., 96 ÷ 4: 9 ÷ 4 = 2 remainder 1; bring down 6 → 16 ÷ 4 = 4 → answer 24).
• Steps:
  • 12 ÷ 6 = 2 (first two digits), write 2.
  • Bring down 6: 6 ÷ 6 = 1.
  • So 126 ÷ 6 = 21. Each classroom gets 21 pencils.
• Answer: 21

[Hard] Combining Area and Perimeter

• EN: A garden is 8 m long and 6 m wide. What is the difference between its perimeter and its area?
• FR: Un jardin mesure 8 m de long et 6 m de large. Quelle est la différence entre son périmètre et son aire?
• Choices: A) 20 B) 24 C) 28 D) 48
• Hint: Calculate perimeter (add all sides) and area (multiply length × width) separately, then subtract (e.g., rectangle 5 × 3: perimeter = 16, area = 15, difference = 1).
• Steps:
  • Perimeter: 8 + 6 + 8 + 6 = 28 m.
  • Area: 8 × 6 = 48 m².
  • Difference: 48 − 28 = 20.
• Answer: 20

[Easy] Multi-Digit Multiplication

• EN: What is 124 × 3?
• FR: Combien font 124 × 3?
• Choices: A) 362 B) 372 C) 382 D) 392
• Hint: Multiply each digit by 3 from right to left, carrying as needed (e.g., 213 × 3: 3×3=9, 1×3=3, 2×3=6 → 639).
• Steps:
  • Ones: 4 × 3 = 12. Write 2, carry 1.
  • Tens: 2 × 3 = 6, plus 1 = 7.
  • Hundreds: 1 × 3 = 3. So 124 × 3 = 372.
• Answer: 372

[Easy] Adding Fractions With Like Denominators

• EN: What is 2/7 + 3/7?
• FR: Combien font 2/7 + 3/7?
• Choices: A) 4/7 B) 5/7 C) 5/14 D) 6/7
• Hint: When denominators are the same, just add the numerators and keep the denominator (e.g., 3/8 + 2/8 = 5/8).
• Steps:
  • Denominators are both 7, so keep 7.
  • Add numerators: 2 + 3 = 5.
  • Answer is 5/7.
• Answer: 5/7

[Easy] Percentage Introduction

• EN: What is 50% of 80?
• FR: Combien font 50 % de 80?
• Choices: A) 20 B) 30 C) 40 D) 50
• Hint: 50% means half, so divide by 2 (e.g., 50% of 60 = 60 ÷ 2 = 30).
• Steps:
  • 50% means divide by 2.
  • 80 ÷ 2 = 40.
  • 50% of 80 is 40.
• Answer: 40

[Easy] Decimal Subtraction

• EN: What is 8.75 − 3.25?
• FR: Combien font 8,75 − 3,25?
• Choices: A) 4.50 B) 5.25 C) 5.50 D) 6.25
• Hint: Line up decimal points and subtract column by column (e.g., 7.85 − 2.35: hundredths 5−5=0, tenths 8−3=5, ones 7−2=5 → 5.50).
• Steps:
  • Hundredths: 5 − 5 = 0.
  • Tenths: 7 − 2 = 5.
  • Ones: 8 − 3 = 5. So 8.75 − 3.25 = 5.50.
• Answer: 5.50

[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) 47 cm³ B) 50 cm³ C) 60 cm³ D) 72 cm³
• Hint: Volume = length × width × height (e.g., 4 cm × 3 cm × 2 cm = 24 cm³).
• Steps:
  • Volume = 5 × 4 × 3.
  • 5 × 4 = 20, then 20 × 3 = 60.
  • The volume is 60 cm³.
• Answer: 60 cm³

[Medium] 25% of a Number

• EN: What is 25% of 120?
• FR: Combien font 25 % de 120?
• Choices: A) 20 B) 25 C) 30 D) 40
• Hint: 25% means one quarter, so divide by 4 (e.g., 25% of 80 = 80 ÷ 4 = 20).
• Steps:
  • 25% = one quarter = divide by 4.
  • 120 ÷ 4 = 30.
  • 25% of 120 is 30.
• Answer: 30

[Medium] Multi-Digit Division

• EN: What is 648 ÷ 8?
• FR: Combien font 648 ÷ 8?
• Choices: A) 71 B) 79 C) 81 D) 91
• Hint: Divide step by step from left to right (e.g., 364 ÷ 4: 36 ÷ 4 = 9, bring down 4: 4 ÷ 4 = 1 → 91).
• Steps:
  • 64 ÷ 8 = 8 (first two digits).
  • Bring down 8: 8 ÷ 8 = 1.
  • So 648 ÷ 8 = 81.
• Answer: 81

[Medium] Subtracting Fractions With Like Denominators

• EN: What is 9/10 − 4/10?
• FR: Combien font 9/10 − 4/10?
• Choices: A) 3/10 B) 4/10 C) 5/10 D) 13/10
• Hint: Keep the denominator the same and subtract the numerators (e.g., 7/9 − 2/9 = 5/9).
• Steps:
  • Denominator stays as 10.
  • Subtract numerators: 9 − 4 = 5.
  • Answer is 5/10.
• Answer: 5/10

[Hard] Multi-Step Decimal Problem

• EN: Sasha bought a notebook for $3.75 and a pen for $1.49. She paid with a $10 bill. How much change did she receive?
• FR: Sasha a acheté un cahier pour 3,75 $ et un stylo pour 1,49 $. Elle a payé avec un billet de 10 $. Combien de monnaie a-t-elle reçu?
• Choices: A) $4.76 B) $4.86 C) $5.24 D) $5.76
• Hint: Add the two prices, then subtract from $10.00 (e.g., $2.50 + $1.75 = $4.25; $10.00 − $4.25 = $5.75 change).
• Steps:
  • Total cost: $3.75 + $1.49 = $5.24.
  • Change: $10.00 − $5.24 = $4.76.
  • Sasha received $4.76 in change.
• Answer: $4.76

[Hard] Combining Percentages and Volume

• EN: A fish tank holds 200 litres when full. It is currently 10% full. How many litres of water are in the tank?
• FR: Un aquarium contient 200 litres lorsqu'il est plein. Il est actuellement rempli à 10 %. Combien de litres d'eau y a-t-il dans l'aquarium?
• Choices: A) 10 litres B) 20 litres C) 25 litres D) 40 litres
• Hint: 10% means divide by 10 (e.g., 10% of 150 = 150 ÷ 10 = 15 litres).
• Steps:
  • 10% of 200 = 200 ÷ 10.
  • 200 ÷ 10 = 20.
  • There are 20 litres of water in the tank.
• Answer: 20 litres

[Easy] Percent of a Number

• EN: What is 30% of 50?
• FR: Combien font 30 % de 50?
• Choices: A) 10 B) 15 C) 20 D) 30
• Hint: Convert the percent to a decimal and multiply (e.g., 20% of 60 = 0.20 × 60 = 12).
• Steps:
  • 30% = 0.30.
  • 0.30 × 50 = 15.
  • 30% of 50 is 15.
• Answer: 15

[Easy] Order of Operations (BEDMAS)

• EN: What is 3 + 4 × 2?
• FR: Combien font 3 + 4 × 2?
• Choices: A) 10 B) 11 C) 12 D) 14
• Hint: In BEDMAS, multiplication comes before addition (e.g., 5 + 2 × 3 = 5 + 6 = 11, not 21).
• Steps:
  • Multiplication first: 4 × 2 = 8.
  • Then addition: 3 + 8 = 11.
  • The answer is 11.
• Answer: 11

[Easy] Integers Introduction

• EN: The temperature was −3°C in the morning and rose by 7°C by noon. What was the temperature at noon?
• FR: La température était de −3 °C le matin et a augmenté de 7 °C à midi. Quelle était la température à midi?
• Choices: A) −4°C B) 3°C C) 4°C D) 10°C
• Hint: Adding a positive number to a negative number moves right on the number line (e.g., −5 + 8 = 3).
• Steps:
  • Start at −3.
  • Add 7: −3 + 7 = 4.
  • The temperature at noon was 4°C.
• Answer: 4°C

[Easy] Simple Algebraic Expressions

• EN: If n = 5, what is the value of 4n − 3?
• FR: Si n = 5, quelle est la valeur de 4n − 3?
• Choices: A) 12 B) 17 C) 19 D) 23
• Hint: Replace the variable with the given number and calculate (e.g., if n = 3, then 4n − 3 = 4 × 3 − 3 = 12 − 3 = 9).
• Steps:
  • Substitute n = 5: 4 × 5 − 3.
  • Multiply: 4 × 5 = 20.
  • Subtract: 20 − 3 = 17.
• Answer: 17

[Medium] Fraction Multiplication

• EN: What is 2/3 × 3/4?
• FR: Combien font 2/3 × 3/4?
• Choices: A) 1/2 B) 5/7 C) 6/7 D) 8/12
• Hint: Multiply numerators together and denominators together, then simplify (e.g., 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] Ratios and Rates

• EN: A recipe calls for 2 cups of flour for every 3 cups of milk. If you use 6 cups of flour, how many cups of milk do you need?
• FR: Une recette nécessite 2 tasses de farine pour 3 tasses de lait. Si tu utilises 6 tasses de farine, combien de tasses de lait faut-il?
• Choices: A) 7 B) 8 C) 9 D) 12
• Hint: Find how many times the flour amount grew, then multiply the milk by the same amount (e.g., ratio 1:4 → 3 units of first = 3 × 4 = 12 units of second).
• Steps:
  • Flour scaled from 2 to 6: factor = 6 ÷ 2 = 3.
  • Multiply milk by the same factor: 3 × 3 = 9.
  • You need 9 cups of milk.
• Answer: 9

[Medium] Fraction Division

• EN: What is 3/4 ÷ 1/2?
• FR: Combien font 3/4 ÷ 1/2?
• Choices: A) 3/8 B) 1 and 1/4 C) 1 and 1/2 D) 2 and 1/4
• Hint: To divide fractions, multiply by the reciprocal of the second fraction (e.g., 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 = 1 and 1/2.
• Answer: 1 and 1/2

[Medium] BEDMAS With Brackets

• EN: What is (5 + 3) × 2 − 4?
• FR: Combien font (5 + 3) × 2 − 4?
• Choices: A) 8 B) 10 C) 12 D) 16
• Hint: In BEDMAS, solve brackets first, then multiply/divide, then add/subtract (e.g., (2 + 4) × 3 − 5 = 6 × 3 − 5 = 18 − 5 = 13).
• Steps:
  • Brackets: 5 + 3 = 8.
  • Multiply: 8 × 2 = 16.
  • Subtract: 16 − 4 = 12.
• Answer: 12

[Hard] Multi-Step Percent Problem

• EN: A backpack originally costs $45.00. It is on sale for 20% off. How much does the backpack cost after the discount?
• FR: Un sac à dos coûte originalement 45,00 $. Il est en solde à 20 % de rabais. Combien coûte le sac à dos après le rabais?
• Choices: A) $25.00 B) $32.00 C) $36.00 D) $40.00
• Hint: Find the discount amount, then subtract from the original (e.g., 10% of $60 = $6, so discounted price = $60 − $6 = $54).
• Steps:
  • 20% of $45 = 0.20 × 45 = $9.00.
  • Discounted price: $45 − $9 = $36.00.
  • The backpack costs $36.00 after the discount.
• Answer: $36.00

[Hard] Rates and Proportional Reasoning

• EN: A car travels 270 km in 3 hours. At the same speed, how far will it travel in 5 hours?
• FR: Une voiture parcourt 270 km en 3 heures. À la même vitesse, quelle distance parcourra-t-elle en 5 heures?
• Choices: A) 350 km B) 400 km C) 420 km D) 450 km
• Hint: Find the speed (km per hour) and multiply by the new time (e.g., 120 km in 2 hours = 60 km/h; in 4 hours = 240 km).
• Steps:
  • Speed = 270 ÷ 3 = 90 km/h.
  • Distance in 5 hours = 90 × 5 = 450 km.
  • The car travels 450 km.
• Answer: 450 km

[Easy] Integer Addition

• EN: What is −8 + 5?
• FR: Combien font −8 + 5?
• Choices: A) −13 B) −3 C) 3 D) 13
• Hint: On a number line, adding a positive number moves you to the right (e.g., −6 + 4 = −2).
• Steps:
  • Start at −8 on a number line.
  • Move 5 steps to the right: −8, −7, −6, −5, −4, −3.
  • The answer is −3.
• Answer: −3

[Easy] Integer Subtraction

• EN: What is 4 − 9?
• FR: Combien font 4 − 9?
• Choices: A) −5 B) −4 C) 5 D) 13
• Hint: Subtracting a larger number from a smaller one gives a negative result (e.g., 3 − 7 = −4).
• Steps:
  • 4 − 9: we owe more than we have.
  • 9 − 4 = 5, so 4 − 9 = −5.
  • The answer is −5.
• Answer: −5

[Easy] Percentage Discount

• EN: A hockey jersey costs $60. It is 10% off. How much is the discount?
• FR: Un chandail de hockey coûte 60 $. Il est rabaisé de 10 %. Quel est le montant du rabais?
• Choices: A) $4 B) $6 C) $10 D) $16
• Hint: 10% of any number = divide by 10 (e.g., 10% of $80 = $8).
• Steps:
  • 10% of $60 = 60 ÷ 10 = $6.
  • The discount is $6.
• Answer: $6

[Easy] One-Step Linear Equation

• EN: Solve for x: x + 9 = 15.
• FR: Résous pour x : x + 9 = 15.
• Choices: A) x = 4 B) x = 5 C) x = 6 D) x = 7
• Hint: To isolate x, subtract the number being added from both sides (e.g., x + 4 = 11 → x = 11 − 4 = 7).
• Steps:
  • Subtract 9 from both sides: x + 9 − 9 = 15 − 9.
  • x = 6.
  • Check: 6 + 9 = 15. ✓
• Answer: x = 6

[Medium] Integer Multiplication

• EN: What is (−4) × (−6)?
• FR: Combien font (−4) × (−6)?
• Choices: A) −24 B) −10 C) 10 D) 24
• Hint: A negative times a negative is always positive (e.g., (−3) × (−5) = +15).
• Steps:
  • Multiply the absolute values: 4 × 6 = 24.
  • Both signs are negative, so the product is positive.
  • (−4) × (−6) = 24.
• Answer: 24

[Medium] Surface Area of a Rectangular Prism

• EN: A rectangular box is 5 cm long, 4 cm wide, and 3 cm tall. What is its surface area?
• FR: Une boîte rectangulaire mesure 5 cm de long, 4 cm de large et 3 cm de haut. Quelle est son aire totale?
• Choices: A) 60 cm² B) 74 cm² C) 80 cm² D) 94 cm²
• Hint: Surface area = 2(lw + lh + wh) (e.g., box 3 × 2 × 1: 2(6 + 3 + 2) = 2 × 11 = 22 cm²).
• Steps:
  • lw = 5 × 4 = 20, lh = 5 × 3 = 15, wh = 4 × 3 = 12.
  • Sum = 20 + 15 + 12 = 47.
  • Surface area = 2 × 47 = 94 cm².
• Answer: 94 cm²

[Medium] Percentage Tax

• EN: A book costs $12.00 before tax. The tax rate is 15%. What is the total price including tax?
• FR: Un livre coûte 12,00 $ avant les taxes. Le taux de taxe est de 15 %. Quel est le prix total incluant les taxes?
• Choices: A) $12.80 B) $13.20 C) $13.80 D) $14.40
• Hint: Calculate tax amount, then add to the original price (e.g., $20 at 10% tax = $20 + $2 = $22).
• Steps:
  • Tax = 15% of $12 = 0.15 × 12 = $1.80.
  • Total = $12.00 + $1.80 = $13.80.
  • The total price is $13.80.
• Answer: $13.80

[Medium] Probability

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

[Hard] Two-Step Equation

• EN: Solve for n: 3n + 7 = 22.
• FR: Résous pour n : 3n + 7 = 22.
• Choices: A) n = 3 B) n = 5 C) n = 7 D) n = 9
• Hint: First subtract the constant from both sides, then divide by the coefficient (e.g., 2n + 4 = 14 → 2n = 10 → n = 5).
• Steps:
  • Subtract 7: 3n + 7 − 7 = 22 − 7 → 3n = 15.
  • Divide by 3: n = 15 ÷ 3 = 5.
  • Check: 3(5) + 7 = 22. ✓
• Answer: n = 5

[Hard] Integer Division and Averages

• EN: The temperatures over four winter days in Winnipeg were −12°C, −5°C, −8°C, and −3°C. What was the average temperature?
• FR: Les températures sur quatre jours d'hiver à Winnipeg étaient de −12 °C, −5 °C, −8 °C et −3 °C. Quelle était la température moyenne?
• Choices: A) −9°C B) −8°C C) −7°C D) −6°C
• Hint: Add all values (watch signs!), then divide by the number of values (e.g., −10 + −6 + −4 = −20; −20 ÷ 3 ≈ −6.7).
• Steps:
  • Sum: −12 + (−5) + (−8) + (−3) = −28.
  • Average: −28 ÷ 4 = −7.
  • The average temperature was −7°C.
• Answer: −7°C

[Easy] Square Roots

• EN: What is the square root of 81?
• FR: Quelle est la racine carrée de 81?
• Choices: A) 7 B) 8 C) 9 D) 11
• Hint: The square root of a number is what you multiply by itself to get that number (e.g., √36 = 6 because 6 × 6 = 36).
• Steps:
  • Ask: what number times itself equals 81?
  • 9 × 9 = 81.
  • So √81 = 9.
• Answer: 9

[Easy] Perfect Squares

• EN: Which of the following is a perfect square?
• FR: Lequel des nombres suivants est un carré parfait?
• Choices: A) 18 B) 24 C) 36 D) 50
• Hint: A perfect square is any number that equals an integer times itself (e.g., 25 = 5 × 5, so 25 is a perfect square).
• Steps:
  • Test each: 18 = no whole square root; 24 = no; 36 = 6 × 6 = 36 ✓; 50 = no.
  • 36 is a perfect square.
• Answer: 36

[Easy] Two-Step Equation

• EN: Solve for x: 2x − 4 = 10.
• FR: Résous pour x : 2x − 4 = 10.
• Choices: A) x = 3 B) x = 5 C) x = 7 D) x = 9
• Hint: Add the constant to both sides first, then divide (e.g., 3x − 6 = 9 → 3x = 15 → x = 5).
• Steps:
  • Add 4 to both sides: 2x = 10 + 4 = 14.
  • Divide by 2: x = 14 ÷ 2 = 7.
  • Check: 2(7) − 4 = 10. ✓
• Answer: x = 7

[Easy] Mean

• EN: Four friends scored 72, 88, 90, and 70 on a math test. What is the mean score?
• FR: Quatre amis ont obtenu 72, 88, 90 et 70 à un test de maths. Quel est le score moyen?
• Choices: A) 78 B) 80 C) 82 D) 88
• Hint: Mean = sum of all values ÷ number of values (e.g., scores 60 + 80 + 100 = 240; 240 ÷ 3 = 80).
• Steps:
  • Sum: 72 + 88 + 90 + 70 = 320.
  • Mean: 320 ÷ 4 = 80.
  • The mean score is 80.
• Answer: 80

[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 cathètes 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 (e.g., legs 3 and 4: 3² + 4² = 9 + 16 = 25; √25 = 5).
• Steps:
  • a² + b² = c²: 6² + 8² = 36 + 64 = 100.
  • c = √100 = 10.
  • The hypotenuse is 10 cm.
• Answer: 10 cm

[Medium] Percent Increase

• EN: A hockey stick originally cost $40. Its price increased by 15%. What is the new price?
• FR: Un bâton de hockey coûtait originalement 40 $. Son prix a augmenté de 15 %. Quel est le nouveau prix?
• Choices: A) $44.00 B) $46.00 C) $48.00 D) $55.00
• Hint: Increase amount = percent × original; new price = original + increase (e.g., $50 increased by 20% = $50 + $10 = $60).
• Steps:
  • Increase: 15% of $40 = 0.15 × 40 = $6.
  • New price: $40 + $6 = $46.
  • The new price is $46.00.
• Answer: $46.00

[Medium] Slope Introduction

• EN: A line passes through (0, 1) and (2, 5). What is the slope of the line?
• FR: Une droite passe par (0, 1) et (2, 5). Quel est le taux de variation de la droite?
• Choices: A) 1 B) 2 C) 3 D) 4
• Hint: Slope = rise ÷ run = (y₂ − y₁) ÷ (x₂ − x₁) (e.g., points (0,0) and (3,6): slope = (6−0)÷(3−0) = 2).
• Steps:
  • Rise = 5 − 1 = 4.
  • Run = 2 − 0 = 2.
  • Slope = 4 ÷ 2 = 2.
• Answer: 2

[Medium] Median and Mode

• EN: The snowfall amounts (in cm) over five days were: 3, 7, 3, 9, 8. What is the mode?
• FR: Les chutes de neige (en cm) sur cinq jours étaient : 3, 7, 3, 9, 8. Quel est le mode?
• Choices: A) 3 cm B) 7 cm C) 8 cm D) 9 cm
• Hint: The mode is the value that appears most often (e.g., in 4, 7, 4, 9, 2 the mode is 4 because it appears twice).
• Steps:
  • List values: 3, 7, 3, 9, 8.
  • The value 3 appears twice; all others appear once.
  • The mode is 3 cm.
• Answer: 3 cm

[Hard] Two-Step Equation With Fractions

• EN: Solve for x: x/3 + 5 = 9.
• FR: Résous pour x : x/3 + 5 = 9.
• Choices: A) x = 4 B) x = 8 C) x = 12 D) x = 16
• Hint: Subtract the constant first, then multiply both sides by the denominator (e.g., x/4 + 2 = 6 → x/4 = 4 → x = 16).
• Steps:
  • Subtract 5: x/3 = 9 − 5 = 4.
  • Multiply both sides by 3: x = 4 × 3 = 12.
  • Check: 12/3 + 5 = 4 + 5 = 9. ✓
• Answer: x = 12

[Hard] Pythagorean Theorem — Find a Leg

• EN: A right triangle has a hypotenuse of 13 cm and one leg of 5 cm. What is the length of the other leg?
• FR: Un triangle rectangle a une hypoténuse de 13 cm et une cathète de 5 cm. Quelle est la longueur de l'autre cathète?
• Choices: A) 8 cm B) 10 cm C) 11 cm D) 12 cm
• Hint: Rearrange a² + b² = c² to find a missing leg: b² = c² − a² (e.g., hypotenuse 10, leg 6: b² = 100 − 36 = 64; b = 8).
• Steps:
  • b² = 13² − 5² = 169 − 25 = 144.
  • b = √144 = 12.
  • The other leg is 12 cm.
• Answer: 12 cm

[Easy] Solving a Linear Equation

• EN: Solve for x: 3x + 2 = 11.
• FR: Résous pour x : 3x + 2 = 11.
• Choices: A) x = 2 B) x = 3 C) x = 4 D) x = 5
• Hint: Subtract the constant from both sides, then divide by the coefficient (e.g., 4x + 1 = 13 → 4x = 12 → x = 3).
• Steps:
  • Subtract 2: 3x = 9.
  • Divide by 3: x = 3.
  • Check: 3(3) + 2 = 11. ✓
• Answer: x = 3

[Easy] Adding Polynomials

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

[Easy] Slope-Intercept Form

• 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) −2 B) 1 C) 2 D) 3
• Hint: In y = mx + b, b is the y-intercept (the value of y when x = 0) (e.g., y = 5x + 3 has y-intercept 3).
• Steps:
  • The equation is in the form y = mx + b.
  • Here m = 2 and b = 1.
  • The y-intercept is 1.
• Answer: 1

[Easy] Linear Inequality

• EN: Solve the inequality: x − 4 > 2.
• FR: Résous l'inégalité : x − 4 > 2.
• Choices: A) x > 2 B) x > 4 C) x > 6 D) x > 8
• Hint: Solve like an equation — add the same value to both sides (e.g., x − 3 > 5 → x > 8).
• Steps:
  • Add 4 to both sides: x − 4 + 4 > 2 + 4.
  • x > 6.
• Answer: x > 6

[Medium] Multiplying Polynomials

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

[Medium] Similar Triangles

• EN: Two similar triangles have a side of 4 cm and 6 cm respectively. If the shorter triangle has another side of 10 cm, what is the corresponding side in the larger triangle?
• FR: Deux triangles semblables ont respectivement un côté de 4 cm et 6 cm. Si le plus petit triangle a un autre côté de 10 cm, quel est le côté correspondant du plus grand triangle?
• Choices: A) 12 cm B) 14 cm C) 15 cm D) 18 cm
• Hint: Set up a proportion: small side / large side = small side / large side (e.g., 2/3 = 8/? → ? = 12).
• Steps:
  • Scale factor: 6/4 = 1.5.
  • Larger triangle's side = 10 × 1.5 = 15.
  • The corresponding side is 15 cm.
• Answer: 15 cm

[Medium] Basic Trigonometry (SOH)

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

[Medium] Graphing Lines

• EN: Which point lies on the line y = 3x − 2?
• FR: Quel point se trouve sur la droite y = 3x − 2?
• Choices: A) (1, 0) B) (2, 4) C) (3, 7) D) (4, 10)
• Hint: Substitute each x-value into the equation and check if the y-value matches (e.g., for y = 2x + 1, try (3, 7): 2(3)+1=7 ✓).
• Steps:
  • Try (2, 4): y = 3(2) − 2 = 6 − 2 = 4. ✓
  • The point (2, 4) lies on the line.
• Answer: (2, 4)

[Hard] Solving a Linear System

• 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 equations equal to each other and solve for x (e.g., 3x + 1 = −x + 9 → 4x = 8 → x = 2).
• Steps:
  • Set equal: 2x + 1 = −x + 7.
  • Add x: 3x + 1 = 7 → 3x = 6 → x = 2.
  • Check: y = 2(2)+1 = 5; y = −(2)+7 = 5. ✓
• Answer: x = 2

[Hard] Trigonometry — Find the Angle

• EN: In a right triangle, the adjacent side is 5 cm and the hypotenuse is 10 cm. What is the measure of the angle? (Use cos⁻¹)
• FR: Dans un triangle rectangle, le côté adjacent mesure 5 cm et l'hypoténuse mesure 10 cm. Quelle est la mesure de l'angle? (Utilise cos⁻¹)
• Choices: A) 30° B) 45° C) 60° D) 75°
• Hint: CAH: cos = adjacent / hypotenuse; then use cos⁻¹ to find the angle (e.g., cos = 1/2 → angle = 60°).
• Steps:
  • cos(angle) = 5/10 = 0.5.
  • cos⁻¹(0.5) = 60°.
  • The angle is 60°.
• Answer: 60°

[Easy] Factoring a Quadratic

• EN: Factor the expression: x² + 5x + 6.
• FR: Factorise l'expression : x² + 5x + 6.
• Choices: A) (x + 1)(x + 6) B) (x + 2)(x + 3) C) (x + 3)(x + 4) D) (x − 2)(x − 3)
• Hint: Find two numbers that multiply to the constant and add to the middle coefficient (e.g., x² + 7x + 10: 2 × 5 = 10 and 2 + 5 = 7 → (x+2)(x+5)).
• Steps:
  • Need two numbers: product = 6 and sum = 5.
  • 2 × 3 = 6 and 2 + 3 = 5. ✓
  • Factored form: (x + 2)(x + 3).
• Answer: (x + 2)(x + 3)

[Easy] Trigonometry — Finding a Side

• EN: In a right triangle, the angle is 30°, the hypotenuse is 10 cm. What is the length of the opposite side?
• FR: Dans un triangle rectangle, l'angle mesure 30°, l'hypoténuse est 10 cm. Quelle est la longueur du côté opposé?
• Choices: A) 4 cm B) 5 cm C) 6 cm D) 8 cm
• Hint: Use SOH: opposite = sin(angle) × hypotenuse (e.g., sin(45°) × 8 ≈ 0.707 × 8 ≈ 5.66 cm).
• Steps:
  • sin(30°) = 0.5.
  • Opposite = 0.5 × 10 = 5 cm.
• Answer: 5 cm

[Easy] Surface Area of a Cylinder

• EN: A cylinder has a radius of 3 cm and a height of 7 cm. What is the area of just the two circular ends? (Use π ≈ 3.14)
• FR: Un cylindre a un rayon de 3 cm et une hauteur de 7 cm. Quelle est l'aire des deux faces circulaires seulement? (Utilise π ≈ 3,14)
• Choices: A) 18.84 cm² B) 28.26 cm² C) 56.52 cm² D) 131.88 cm²
• Hint: Area of one circle = π × r²; for two circles, multiply by 2 (e.g., r = 2: 2 × 3.14 × 4 = 25.12 cm²).
• Steps:
  • One circle = π × r² = 3.14 × 9 = 28.26 cm².
  • Two circles = 28.26 × 2 = 56.52 cm².
• Answer: 56.52 cm²

[Easy] System of Equations

• EN: Solve the system: x + y = 10 and x − y = 2. What is the value of x?
• FR: Résous le système : x + y = 10 et x − y = 2. Quelle est la valeur de x?
• Choices: A) x = 4 B) x = 5 C) x = 6 D) x = 8
• Hint: Add the two equations together to eliminate y (e.g., x + y = 8 and x − y = 4 → 2x = 12 → x = 6).
• Steps:
  • Add the equations: (x + y) + (x − y) = 10 + 2.
  • 2x = 12 → x = 6.
  • Check: 6 + y = 10 → y = 4; 6 − 4 = 2. ✓
• Answer: x = 6

[Medium] Completing the Square

• EN: What are the solutions of x² − 6x + 5 = 0 found by factoring?
• FR: Quelles sont les solutions de x² − 6x + 5 = 0 trouvées par factorisation?
• Choices: A) x = 1 and x = 5 B) x = 2 and x = 3 C) x = −1 and x = −5 D) x = 3 and x = 6
• Hint: Find two numbers with product = 5 and sum = −6 (e.g., x² − 5x + 6 = 0: −2 and −3 → (x−2)(x−3) = 0 → x = 2 or 3).
• Steps:
  • Need product 5, sum −6: −1 × −5 = 5 and −1 + (−5) = −6. ✓
  • (x − 1)(x − 5) = 0.
  • Solutions: x = 1 and x = 5.
• Answer: x = 1 and x = 5

[Medium] Circle Geometry — Arc Length

• EN: A circle has a radius of 6 cm. What is the circumference? (Use π ≈ 3.14)
• FR: Un cercle a un rayon de 6 cm. Quelle est sa circonférence? (Utilise π ≈ 3,14)
• Choices: A) 18.84 cm B) 37.68 cm C) 56.52 cm D) 113.04 cm
• Hint: Circumference = 2 × π × r (e.g., r = 5: C = 2 × 3.14 × 5 = 31.4 cm).
• Steps:
  • C = 2 × π × r = 2 × 3.14 × 6.
  • 2 × 3.14 = 6.28; 6.28 × 6 = 37.68.
  • The circumference is 37.68 cm.
• Answer: 37.68 cm

[Medium] Quadratic Formula

• EN: Using the quadratic formula, what are the solutions of x² + 2x − 8 = 0?
• FR: En utilisant la formule quadratique, quelles sont les solutions de x² + 2x − 8 = 0?
• Choices: A) x = 2 and x = −4 B) x = 4 and x = −2 C) x = −2 and x = 4 D) x = 8 and x = −1
• Hint: Quadratic formula: x = [−b ± √(b² − 4ac)] / 2a (e.g., x² + x − 6: discriminant = 1 + 24 = 25; x = (−1 ± 5)/2 → x = 2 or −3).
• Steps:
  • a = 1, b = 2, c = −8. Discriminant = 4 + 32 = 36.
  • x = (−2 ± 6) / 2.
  • x = 4/2 = 2 or x = −8/2 = −4. Solutions: x = 2 and x = −4.
• Answer: x = 2 and x = −4

[Medium] Volume of a Cone

• EN: A cone has a radius of 3 cm and a height of 7 cm. What is its volume? (Use π ≈ 3.14)
• FR: Un cône a un rayon de 3 cm et une hauteur de 7 cm. Quel est son volume? (Utilise π ≈ 3,14)
• Choices: A) 45.22 cm³ B) 56.52 cm³ C) 65.94 cm³ D) 197.82 cm³
• Hint: Volume of a cone = (1/3) × π × r² × h (e.g., r = 2, h = 6: (1/3) × 3.14 × 4 × 6 = 25.12 cm³).
• Steps:
  • V = (1/3) × 3.14 × 3² × 7.
  • = (1/3) × 3.14 × 9 × 7 = (1/3) × 197.82 = 65.94.
  • The volume is 65.94 cm³.
• Answer: 65.94 cm³

[Hard] Systems With Substitution

• EN: Solve the system: y = 3x − 1 and 2x + y = 14. What is the value of y?
• FR: Résous le système : y = 3x − 1 et 2x + y = 14. Quelle est la valeur de y?
• Choices: A) y = 8 B) y = 9 C) y = 11 D) y = 14
• Hint: Substitute the expression for y into the second equation, solve for x, then find y (e.g., y = 2x, 3x + y = 10 → 3x + 2x = 10 → x = 2, y = 4).
• Steps:
  • Substitute y = 3x − 1 into 2x + y = 14: 2x + 3x − 1 = 14.
  • 5x = 15 → x = 3.
  • y = 3(3) − 1 = 8.
• Answer: y = 8

[Hard] Circle Geometry — Chord and Angle

• EN: A chord of a circle subtends a central angle of 120°. The radius is 6 cm. What is the length of the chord? (Hint: use the cosine rule.)
• FR: Une corde d'un cercle sous-tend un angle au centre de 120°. Le rayon est 6 cm. Quelle est la longueur de la corde? (Indice : utilise la loi des cosinus.)
• Choices: A) 6 cm B) 6√3 cm C) 10 cm D) 12 cm
• Hint: Cosine rule: c² = a² + b² − 2ab·cos(C) (e.g., radii 5 and 5 with angle 60°: c² = 25 + 25 − 50·cos60° = 50 − 25 = 25; c = 5).
• Steps:
  • c² = 6² + 6² − 2(6)(6)·cos(120°).
  • cos(120°) = −0.5, so c² = 36 + 36 − 72(−0.5) = 72 + 36 = 108.
  • c = √108 = 6√3 cm.
• Answer: 6√3 cm

[Easy] Evaluating a Quadratic Function

• EN: For the function f(x) = x² − 3x + 2, what is f(4)?
• FR: Pour la fonction f(x) = x² − 3x + 2, quelle est la valeur de f(4)?
• Choices: A) 4 B) 6 C) 8 D) 10
• Hint: Substitute the given x-value and evaluate step by step (e.g., f(x) = x² + 2x, f(3) = 9 + 6 = 15).
• Steps:
  • f(4) = 4² − 3(4) + 2 = 16 − 12 + 2.
  • = 4 + 2 = 6.
  • f(4) = 6.
• Answer: 6

[Easy] Logarithm Introduction

• EN: What is log₂(8)?
• FR: Combien vaut log₂(8)?
• Choices: A) 2 B) 3 C) 4 D) 6
• Hint: log_b(x) = y means b^y = x (e.g., log₃(9) = 2 because 3² = 9).
• Steps:
  • log₂(8) = y means 2^y = 8.
  • 2³ = 8.
  • So log₂(8) = 3.
• Answer: 3

[Easy] Arithmetic Sequence

• EN: The first term of an arithmetic sequence is 4 and the common difference is 6. What is the 5th term?
• FR: Le premier terme d'une suite arithmétique est 4 et la raison est 6. Quel est le 5e terme?
• Choices: A) 24 B) 26 C) 28 D) 30
• Hint: The nth term = first term + (n − 1) × common difference (e.g., first term 3, difference 5, 4th term = 3 + 3 × 5 = 18).
• Steps:
  • 5th term = 4 + (5 − 1) × 6 = 4 + 4 × 6 = 4 + 24.
  • = 28.
  • The 5th term is 28.
• Answer: 28

[Easy] Compound Interest

• EN: Sofia invests $1000 at 5% annual interest, compounded once per year. What is the amount after 1 year?
• FR: Sofia investit 1 000 $ à un taux d'intérêt annuel de 5 %, composé une fois par année. Quel est le montant après 1 an?
• Choices: A) $1005.00 B) $1050.00 C) $1100.00 D) $1500.00
• Hint: A = P(1 + r)^t (e.g., $500 at 4% for 1 year = 500 × 1.04 = $520).
• Steps:
  • A = 1000 × (1 + 0.05)¹ = 1000 × 1.05.
  • = $1050.00.
• Answer: $1050.00

[Medium] Exponential Function

• EN: A bacteria culture doubles every hour. If there are 50 bacteria now, how many will there be after 4 hours?
• FR: Une culture bactérienne double chaque heure. S'il y a 50 bactéries maintenant, combien y en aura-t-il après 4 heures?
• Choices: A) 200 B) 400 C) 800 D) 1600
• Hint: Exponential growth: amount = initial × 2^(number of periods) (e.g., 30 × 2³ = 30 × 8 = 240).
• Steps:
  • Amount = 50 × 2⁴ = 50 × 16.
  • = 800.
  • There will be 800 bacteria after 4 hours.
• Answer: 800

[Medium] Sum of an Arithmetic Series

• EN: Find the sum of the first 10 terms of the arithmetic series with first term 3 and common difference 4.
• FR: Trouve la somme des 10 premiers termes de la suite arithmétique dont le premier terme est 3 et la raison est 4.
• Choices: A) 150 B) 170 C) 192 D) 210
• Hint: Sₙ = n/2 × (2a + (n−1)d) (e.g., n = 5, a = 2, d = 3: S₅ = 5/2 × (4 + 12) = 2.5 × 16 = 40).
• Steps:
  • S₁₀ = 10/2 × (2(3) + 9(4)) = 5 × (6 + 36) = 5 × 42.
  • = 210.
• Answer: 210

[Medium] Trigonometric Identity

• EN: Using the Pythagorean identity, if sin(θ) = 3/5, what is cos²(θ)?
• FR: En utilisant l'identité de Pythagore, si sin(θ) = 3/5, quelle est la valeur de cos²(θ)?
• Choices: A) 9/25 B) 16/25 C) 4/5 D) 25/16
• Hint: Use sin²(θ) + cos²(θ) = 1 (e.g., sin(θ) = 4/5: cos²(θ) = 1 − 16/25 = 9/25).
• Steps:
  • sin²(θ) = (3/5)² = 9/25.
  • cos²(θ) = 1 − 9/25 = 16/25.
• Answer: 16/25

[Medium] Compound Interest — Multiple Years

• EN: Mateo invests $2000 at 4% annual interest, compounded yearly. What is the amount after 2 years?
• FR: Mateo investit 2 000 $ à un taux annuel de 4 %, composé annuellement. Quel est le montant après 2 ans?
• Choices: A) $2081.60 B) $2160.00 C) $2163.20 D) $2200.00
• Hint: A = P(1 + r)^t; apply it twice or use the exponent (e.g., $1000 at 3% for 2 years = 1000 × 1.03² = 1000 × 1.0609 = $1060.90).
• Steps:
  • A = 2000 × (1.04)² = 2000 × 1.0816.
  • = $2163.20.
• Answer: $2163.20

[Hard] Logarithm Laws

• EN: Simplify: log₃(27) + log₃(9).
• FR: Simplifie : log₃(27) + log₃(9).
• Choices: A) log₃(36) B) 3 C) 5 D) log₃(243)
• Hint: logb(m) + logb(n) = log_b(m × n); also remember that log₃(3^k) = k (e.g., log₂(8) + log₂(4) = log₂(32) = 5).
• Steps:
  • log₃(27) = 3 (since 3³ = 27) and log₃(9) = 2 (since 3² = 9).
  • Sum = 3 + 2 = 5.
  • Alternatively, log₃(27 × 9) = log₃(243) = 5.
• Answer: 5

[Hard] Geometric Series

• EN: Find the sum of the first 5 terms of a geometric series with first term 2 and common ratio 3.
• FR: Trouve la somme des 5 premiers termes d'une suite géométrique dont le premier terme est 2 et la raison est 3.
• Choices: A) 162 B) 182 C) 242 D) 486
• Hint: Sₙ = a(rⁿ − 1) / (r − 1) for r ≠ 1 (e.g., a = 1, r = 2, n = 4: S₄ = 1(16 − 1)/(2 − 1) = 15).
• Steps:
  • S₅ = 2(3⁵ − 1) / (3 − 1) = 2(243 − 1) / 2.
  • = 2 × 242 / 2 = 242.
• Answer: 242

[Easy] Combinations

• EN: How many ways can you choose 2 students from a group of 6 to be hall monitors?
• FR: De combien de façons peut-on choisir 2 élèves parmi un groupe de 6 pour être surveillants de couloir?
• Choices: A) 12 B) 15 C) 30 D) 36
• Hint: Use the combination formula: C(n, r) = n! / (r!(n−r)!) (e.g., C(5, 2) = 5!/(2!3!) = 10).
• Steps:
  • C(6, 2) = 6! / (2! × 4!) = (6 × 5) / (2 × 1) = 30 / 2.
  • = 15.
• Answer: 15

[Easy] Derivative Concept

• EN: What is the derivative of f(x) = 3x²?
• FR: Quelle est la dérivée de f(x) = 3x²?
• Choices: A) 3x B) 6x C) 6x² D) 9x
• Hint: Power rule: d/dx(axⁿ) = n × a × x^(n−1) (e.g., d/dx(4x³) = 12x²).
• Steps:
  • Apply the power rule: bring down the exponent and reduce it by 1.
  • d/dx(3x²) = 2 × 3 × x^(2−1) = 6x.
  • The derivative is 6x.
• Answer: 6x

[Easy] Permutations

• EN: How many ways can 4 different books be arranged on a shelf?
• FR: De combien de façons peut-on ranger 4 livres différents sur une étagère?
• Choices: A) 16 B) 20 C) 24 D) 48
• Hint: Arrangements of n items = n! (e.g., 3 items: 3! = 3 × 2 × 1 = 6 ways).
• Steps:
  • 4! = 4 × 3 × 2 × 1.
  • = 24.
  • There are 24 ways.
• Answer: 24

[Easy] Polynomial Function Value

• EN: For p(x) = 2x³ − x + 5, what is p(2)?
• FR: Pour p(x) = 2x³ − x + 5, quelle est la valeur de p(2)?
• Choices: A) 15 B) 17 C) 19 D) 21
• Hint: Substitute x = 2 and follow the order of operations (e.g., p(x) = x³ + 2x, p(2) = 8 + 4 = 12).
• Steps:
  • p(2) = 2(2)³ − 2 + 5 = 2(8) − 2 + 5.
  • = 16 − 2 + 5 = 19.
• Answer: 19

[Medium] Derivative of a Polynomial

• EN: What is the derivative of f(x) = 4x³ − 2x² + x − 7?
• FR: Quelle est la dérivée de f(x) = 4x³ − 2x² + x − 7?
• Choices: A) 12x² − 4x B) 12x² − 4x + 1 C) 12x² + 4x + 1 D) 4x² − 4x + 1
• Hint: Differentiate each term using the power rule; constants vanish (e.g., d/dx(3x² − 2x + 1) = 6x − 2).
• Steps:
  • d/dx(4x³) = 12x².
  • d/dx(−2x²) = −4x.
  • d/dx(x) = 1; d/dx(−7) = 0. Combined: 12x² − 4x + 1.
• Answer: 12x² − 4x + 1

[Medium] Binomial Probability

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

[Medium] Rational Function — Domain

• EN: What is the domain restriction of the function f(x) = 5 / (x − 4)?
• FR: Quelle est la restriction du domaine de la fonction f(x) = 5 / (x − 4)?
• Choices: A) x ≠ 5 B) x ≠ 4 C) x ≠ 0 D) x ≠ −4
• Hint: A rational function is undefined when the denominator equals zero (e.g., g(x) = 1/(x + 3): x + 3 ≠ 0 → x ≠ −3).
• Steps:
  • Set denominator ≠ 0: x − 4 ≠ 0.
  • x ≠ 4.
• Answer: x ≠ 4

[Medium] Vectors — Addition

• 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). Quelle est la valeur de u + v?
• Choices: A) (2, 1) B) (2, 9) C) (4, 1) D) (4, 9)
• Hint: Add corresponding components (e.g., (2, 3) + (4, −1) = (6, 2)).
• Steps:
  • x-component: 3 + (−1) = 2.
  • y-component: 5 + 4 = 9.
  • u + v = (2, 9).
• Answer: (2, 9)

[Hard] Instantaneous Rate of Change

• EN: Given f(x) = x² + 3x, what is the instantaneous rate of change at x = 4?
• FR: Étant donné f(x) = x² + 3x, quelle est le taux de variation instantané en x = 4?
• Choices: A) 7 B) 9 C) 11 D) 16
• Hint: The instantaneous rate of change = f'(x); find the derivative then substitute x (e.g., f(x) = 2x² + x; f'(x) = 4x + 1; at x = 3: f'(3) = 13).
• Steps:
  • f'(x) = 2x + 3.
  • f'(4) = 2(4) + 3 = 8 + 3 = 11.
• Answer: 11

[Hard] Probability Distribution — Expected Value

• EN: A game gives you $10 with probability 0.2 and $2 with probability 0.8. What is the expected value of your winnings?
• FR: Un jeu te donne 10 $ avec une probabilité de 0,2 et 2 $ avec une probabilité de 0,8. Quelle est l'espérance mathématique de tes gains?
• Choices: A) $3.00 B) $3.60 C) $4.00 D) $5.00
• Hint: Expected value = sum of (each outcome × its probability) (e.g., $5 at 0.4 and $1 at 0.6: E = 2.00 + 0.60 = $2.60).
• Steps:
  • E = 10 × 0.2 + 2 × 0.8.
  • = 2.00 + 1.60 = 3.60.
  • The expected value is $3.60.
• Answer: $3.60