Daily Math — 2026-08-07

[Easy] Counting to Ten

• EN: There are 7 apples on the table. How many apples are there?
• FR: Il y a 7 pommes sur la table. Combien y a-t-il de pommes?
• Choices: A) 5 B) 7 C) 9 D) 6
• Hint: Count each object one by one, like counting 4 oranges: 1, 2, 3, 4.
• Steps:
  • Count the apples one by one.
  • 1, 2, 3, 4, 5, 6, 7 — there are 7 apples.
• Answer: 7

[Easy] Simple Addition

• EN: Emma has 4 stickers. She gets 3 more. How many stickers does she have now?
• FR: Emma a 4 autocollants. Elle en reçoit 3 de plus. Combien d'autocollants a-t-elle maintenant?
• Choices: A) 6 B) 8 C) 7 D) 9
• Hint: To add 3 + 2, start at 3 and count up 2 more: 4, 5. The answer is 5.
• Steps:
  • Emma starts with 4 stickers.
  • She gets 3 more, so count up: 5, 6, 7.
  • 4 + 3 = 7.
• Answer: 7

[Easy] Simple Subtraction

• EN: There are 9 birds on a branch. 4 fly away. How many birds are left?
• FR: Il y a 9 oiseaux sur une branche. 4 s'envolent. Combien d'oiseaux restent-ils?
• Choices: A) 4 B) 6 C) 3 D) 5
• Hint: To solve 8 − 3, start at 8 and count back 3: 7, 6, 5. The answer is 5.
• Steps:
  • Start at 9 birds.
  • Count back 4: 8, 7, 6, 5.
  • 9 − 4 = 5.
• Answer: 5

[Easy] Skip Counting by 2s

• EN: Skip count by 2s. What comes next: 2, 4, 6, ___?
• FR: Compte par bonds de 2. Quel nombre vient ensuite: 2, 4, 6, ___?
• Choices: A) 9 B) 7 C) 8 D) 10
• Hint: Skip counting by 2s means adding 2 each time: 10, 12, 14 — the next number after 14 is 16.
• Steps:
  • Each number goes up by 2.
  • 6 + 2 = 8.
  • The next number is 8.
• Answer: 8

[Medium] Addition Within 20

• EN: Liam scored 8 goals in hockey and then 6 more. How many goals did he score in total?
• FR: Liam a marqué 8 buts au hockey puis 6 de plus. Combien de buts a-t-il marqué en tout?
• Choices: A) 13 B) 15 C) 14 D) 16
• Hint: To add 7 + 5, think: 7 + 3 = 10, then 10 + 2 = 12.
• Steps:
  • Start with 8 goals.
  • Add 6 more: 8 + 2 = 10, then 10 + 4 = 14.
  • Liam scored 14 goals in total.
• Answer: 14

[Medium] Subtraction Within 20

• EN: There are 15 cookies on a plate. The students eat 7. How many cookies are left?
• FR: Il y a 15 biscuits dans une assiette. Les élèves en mangent 7. Combien en reste-t-il?
• Choices: A) 9 B) 6 C) 8 D) 11
• Hint: To solve 14 − 6, think: 14 − 4 = 10, then 10 − 2 = 8.
• Steps:
  • Start with 15 cookies.
  • Take away 7: 15 − 5 = 10, then 10 − 2 = 8.
  • There are 8 cookies left.
• Answer: 8

[Medium] Comparing Numbers

• EN: Which number is greater: 13 or 17?
• FR: Quel nombre est plus grand: 13 ou 17?
• Choices: A) 13 B) 15 C) 17 D) 19
• Hint: On a number line, numbers to the right are greater — 22 is greater than 18.
• Steps:
  • Look at both numbers: 13 and 17.
  • 17 is farther along the number line.
  • 17 is greater than 13.
• Answer: 17

[Medium] Coin Recognition

• EN: You have one dime. How many cents is a dime worth?
• FR: Tu as une pièce de dix cents. Combien de cents vaut-elle?
• Choices: A) 5 cents B) 25 cents C) 1 cent D) 10 cents
• Hint: A nickel is worth 5 cents — a dime is worth twice as much as a nickel.
• Steps:
  • A dime is a silver coin.
  • It is worth 10 cents.
• Answer: 10 cents

[Hard] Skip Counting by 5s

• EN: Skip count by 5s starting at 5. What is the 5th number you say?
• FR: Compte par bonds de 5 en commençant à 5. Quel est le 5e nombre que tu dis?
• Choices: A) 20 B) 30 C) 25 D) 35
• Hint: Skip counting by 5s from 10 gives: 10, 15, 20, 25, 30 — the 4th number is 25.
• Steps:
  • Count by 5s: 5, 10, 15, 20, 25.
  • The 1st is 5, 2nd is 10, 3rd is 15, 4th is 20, 5th is 25.
  • The 5th number is 25.
• Answer: 25

[Hard] Addition and Subtraction Together

• EN: There are 12 children on the playground. 5 go inside, and then 4 more come out. How many children are on the playground now?
• FR: Il y a 12 enfants dans la cour. 5 rentrent à l'intérieur, puis 4 autres sortent. Combien d'enfants sont dans la cour maintenant?
• Choices: A) 13 B) 9 C) 11 D) 3
• Hint: Try this: 10 children, 3 leave = 7, then 2 more come = 9. Do the same two steps.
• Steps:
  • Start with 12 children.
  • 5 go inside: 12 − 5 = 7.
  • 4 more come out: 7 + 4 = 11.
• Answer: 11

[Easy] Addition Within 100

• EN: A student has 32 crayons and gets 15 more. How many crayons are there now?
• FR: Un élève a 32 crayons et en reçoit 15 de plus. Combien y a-t-il de crayons maintenant?
• Choices: A) 45 B) 47 C) 48 D) 43
• Hint: To add 21 + 14, add the tens first: 20 + 10 = 30, then the ones: 1 + 4 = 5, so 35.
• Steps:
  • Add the tens: 30 + 10 = 40.
  • Add the ones: 2 + 5 = 7.
  • 32 + 15 = 47.
• Answer: 47

[Easy] Subtraction Within 100

• EN: There are 60 snowflakes drawn on a poster. 24 are erased. How many are left?
• FR: Il y a 60 flocons de neige dessinés sur une affiche. 24 sont effacés. Combien en reste-t-il?
• Choices: A) 34 B) 38 C) 36 D) 84
• Hint: To solve 50 − 23, subtract the tens: 50 − 20 = 30, then the ones: 30 − 3 = 27.
• Steps:
  • Subtract the tens: 60 − 20 = 40.
  • Subtract the ones: 40 − 4 = 36.
  • 60 − 24 = 36.
• Answer: 36

[Easy] Telling Time

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

[Easy] Measuring Length

• EN: A pencil is 14 cm long. A crayon is 9 cm long. Which one is longer?
• FR: Un crayon à mine mesure 14 cm et un crayon de cire mesure 9 cm. Lequel est le plus long?
• Choices: A) The crayon B) They are the same C) The pencil D) Neither one
• Hint: Compare 11 cm and 7 cm — 11 is greater, so 11 cm is longer.
• Steps:
  • Compare 14 cm and 9 cm.
  • 14 is greater than 9.
  • The pencil is longer.
• Answer: The pencil

[Medium] Adding Coins

• EN: You have 2 dimes and 3 nickels. How much money do you have in total?
• FR: Tu as 2 pièces de dix cents et 3 pièces de cinq cents. Combien d'argent as-tu en tout?
• Choices: A) 30 cents B) 25 cents C) 35 cents D) 40 cents
• Hint: 1 dime = 10 cents, 1 nickel = 5 cents. So 3 dimes + 2 nickels = 30 + 10 = 40 cents.
• Steps:
  • 2 dimes = 2 × 10 = 20 cents.
  • 3 nickels = 3 × 5 = 15 cents.
  • 20 + 15 = 35 cents.
• Answer: 35 cents

[Medium] Telling Time to the Half Hour

• EN: The hour hand is between 7 and 8, and the minute hand points to 6. What time is it?
• FR: L'aiguille des heures est entre 7 et 8, et l'aiguille des minutes pointe vers 6. Quelle heure est-il?
• Choices: A) 7:00 B) 6:30 C) 8:30 D) 7:30
• Hint: When the minute hand points to 6, it is always a "half past" time — for example, 9:30.
• Steps:
  • The minute hand at 6 means 30 minutes past.
  • The hour hand is past 7.
  • The time is 7:30.
• Answer: 7:30

[Medium] Simple Patterns

• EN: What comes next in this pattern: 10, 20, 30, 40, ___?
• FR: Quel nombre vient ensuite dans cette suite: 10, 20, 30, 40, ___?
• Choices: A) 45 B) 60 C) 55 D) 50
• Hint: In the pattern 3, 6, 9, 12 — each number goes up by 3, so the next is 15.
• Steps:
  • Each number increases by 10.
  • 40 + 10 = 50.
  • The next number is 50.
• Answer: 50

[Medium] Measuring and Comparing

• EN: A ribbon is 45 cm long. Another ribbon is 28 cm long. How much longer is the first ribbon?
• FR: Un ruban mesure 45 cm de long. Un autre mesure 28 cm. De combien le premier ruban est-il plus long?
• Choices: A) 73 cm B) 15 cm C) 17 cm D) 19 cm
• Hint: To find the difference between 62 cm and 40 cm, subtract: 62 − 40 = 22 cm.
• Steps:
  • Subtract to find the difference: 45 − 28.
  • 45 − 20 = 25, then 25 − 8 = 17.
  • The first ribbon is 17 cm longer.
• Answer: 17 cm

[Hard] Two-Step Problem

• EN: Maya has 25 cents. She earns 30 more cents doing chores and then spends 18 cents at school. How much money does she have left?
• FR: Maya a 25 cents. Elle gagne 30 cents de plus en faisant des corvées, puis dépense 18 cents à l'école. Combien d'argent lui reste-t-il?
• Choices: A) 37 cents B) 43 cents C) 35 cents D) 57 cents
• Hint: For two steps, first add, then subtract: 20 + 15 = 35, then 35 − 12 = 23.
• Steps:
  • Start with 25 cents and add 30 cents: 25 + 30 = 55 cents.
  • Then subtract 18 cents: 55 − 18 = 37 cents.
  • Maya has 37 cents left.
• Answer: 37 cents

[Hard] Counting Coins to $1

• EN: You have 3 quarters. How many cents do you have in total?
• FR: Tu as 3 pièces de 25 cents. Combien de cents as-tu en tout?
• Choices: A) 60 cents B) 85 cents C) 75 cents D) 90 cents
• Hint: 1 quarter = 25 cents. Count by 25s: 2 quarters = 25 + 25 = 50 cents.
• Steps:
  • Each quarter is worth 25 cents.
  • Count by 25s: 25, 50, 75.
  • 3 quarters = 75 cents.
• Answer: 75 cents

[Easy] Multiplication by 2

• EN: A hockey team has 2 lines of 6 players each. How many players are there in total?
• FR: Une équipe de hockey a 2 lignes de 6 joueurs chacune. Combien y a-t-il de joueurs en tout?
• Choices: A) 10 B) 8 C) 12 D) 14
• Hint: 2 × 4 means 4 + 4 = 8.
• Steps:
  • 2 lines × 6 players each = 2 × 6.
  • 2 × 6 = 6 + 6 = 12.
  • There are 12 players in total.
• Answer: 12

[Easy] Multiplication by 5

• EN: There are 5 bags with 4 apples in each bag. How many apples are there altogether?
• FR: Il y a 5 sacs avec 4 pommes dans chaque sac. Combien y a-t-il de pommes en tout?
• Choices: A) 24 B) 20 C) 18 D) 25
• Hint: 5 × 3 means 5 groups of 3: 3 + 3 + 3 + 3 + 3 = 15.
• Steps:
  • 5 bags with 4 apples each: 5 × 4.
  • 5 × 4 = 4 + 4 + 4 + 4 + 4 = 20.
  • There are 20 apples altogether.
• Answer: 20

[Easy] Basic Division

• EN: There are 15 stickers shared equally among 3 friends. How many stickers does each friend get?
• FR: Il y a 15 autocollants partagés également entre 3 amis. Combien chaque ami en reçoit-il?
• Choices: A) 4 B) 6 C) 5 D) 3
• Hint: To divide 12 among 4 friends, think: what times 4 equals 12? Since 3 × 4 = 12, each gets 3.
• Steps:
  • Divide 15 by 3.
  • Think: 3 × 5 = 15, so 15 ÷ 3 = 5.
  • Each friend gets 5 stickers.
• Answer: 5

[Easy] Simple Fractions

• EN: A pizza is cut into 4 equal pieces. You eat 1 piece. What fraction of the pizza did you eat?
• FR: Une pizza est coupée en 4 morceaux égaux. Tu en manges 1. Quelle fraction de la pizza as-tu mangée?
• Choices: A) 1/3 B) 1/4 C) 1/2 D) 2/4
• Hint: If a cake is cut into 3 equal parts and you take 1 part, you have 1/3.
• Steps:
  • The pizza is cut into 4 equal pieces.
  • You ate 1 piece out of 4.
  • The fraction is 1/4.
• Answer: 1/4

[Medium] Multiplication by 3

• EN: A classroom has 7 rows of desks with 3 desks in each row. How many desks are there?
• FR: Une salle de classe a 7 rangées de bureaux avec 3 bureaux dans chaque rangée. Combien y a-t-il de bureaux?
• Choices: A) 24 B) 18 C) 21 D) 27
• Hint: 3 × 6 = 18. Count up by 3s: 3, 6, 9, 12, 15, 18.
• Steps:
  • 7 rows × 3 desks each = 7 × 3.
  • Count by 3s seven times: 3, 6, 9, 12, 15, 18, 21.
  • There are 21 desks.
• Answer: 21

[Medium] Perimeter of a Rectangle

• EN: A rectangular garden is 8 m long and 3 m wide. What is its perimeter?
• FR: Un jardin rectangulaire mesure 8 m de long et 3 m de large. Quel est son périmètre?
• Choices: A) 24 m B) 11 m C) 22 m D) 20 m
• Hint: The perimeter of a rectangle = length + length + width + width. For 5 m × 2 m: 5 + 5 + 2 + 2 = 14 m.
• Steps:
  • Add all four sides: 8 + 8 + 3 + 3.
  • 8 + 8 = 16, and 3 + 3 = 6.
  • 16 + 6 = 22 m.
• Answer: 22 m

[Medium] Reading a Bar Graph

• EN: A bar graph shows that Class A collected 12 cans for a food drive and Class B collected 8 cans. How many cans did they collect altogether?
• FR: Un diagramme à barres montre que la classe A a collecté 12 boîtes pour une banque alimentaire et la classe B en a collecté 8. Combien en ont-ils collecté au total?
• Choices: A) 18 B) 22 C) 16 D) 20
• Hint: Read each bar's value carefully, then add them together: 9 + 7 = 16.
• Steps:
  • Class A collected 12 cans.
  • Class B collected 8 cans.
  • 12 + 8 = 20 cans altogether.
• Answer: 20

[Medium] Multiplication by 10

• EN: There are 6 boxes with 10 crayons in each box. How many crayons are there in total?
• FR: Il y a 6 boîtes avec 10 crayons dans chaque boîte. Combien y a-t-il de crayons en tout?
• Choices: A) 60 B) 16 C) 55 D) 70
• Hint: Any number times 10 — just add a zero: 4 × 10 = 40, 9 × 10 = 90.
• Steps:
  • 6 × 10 = 60.
  • Multiply 6 by 10 by adding a zero.
  • There are 60 crayons in total.
• Answer: 60

[Hard] Fractions of a Group

• EN: There are 12 students in a group. One-third of them are wearing red shirts. How many students are wearing red shirts?
• FR: Il y a 12 élèves dans un groupe. Le tiers d'entre eux portent des chemises rouges. Combien d'élèves portent des chemises rouges?
• Choices: A) 6 B) 3 C) 4 D) 9
• Hint: To find 1/3 of 9, divide by 3: 9 ÷ 3 = 3.
• Steps:
  • "One-third" means divide into 3 equal groups.
  • 12 ÷ 3 = 4.
  • 4 students are wearing red shirts.
• Answer: 4

[Hard] Two-Step Multiplication and Subtraction

• EN: A bakery made 5 trays of muffins with 4 muffins on each tray. After selling 8 muffins, how many are left?
• FR: Une boulangerie a fait 5 plateaux de muffins avec 4 muffins sur chaque plateau. Après en avoir vendu 8, combien en reste-t-il?
• Choices: A) 9 B) 17 C) 12 D) 13
• Hint: First multiply to find the total, then subtract: 3 × 4 = 12, then 12 − 5 = 7.
• Steps:
  • First find the total: 5 × 4 = 20 muffins.
  • Then subtract 8: 20 − 8 = 12.
  • There are 12 muffins left.
• Answer: 12

[Easy] Multiplication Tables

• EN: What is 7 × 8?
• FR: Combien fait 7 × 8?
• Choices: A) 54 B) 63 C) 56 D) 48
• Hint: To remember 6 × 7, think: 6 × 7 = 42. Practice the table step by step.
• Steps:
  • Recall the 7 times table: 7, 14, 21, 28, 35, 42, 49, 56.
  • 7 × 8 = 56.
• Answer: 56

[Easy] Decimal Place Value

• EN: What is the value of the digit 4 in the number 3.47?
• FR: Quelle est la valeur du chiffre 4 dans le nombre 3,47?
• Choices: A) 4 ones B) 4 tenths C) 4 hundredths D) 40
• Hint: In 5.62, the digit 6 is in the tenths place and the digit 2 is in the hundredths place.
• Steps:
  • In 3.47, the digits after the decimal are tenths and hundredths.
  • The 4 is in the first position after the decimal — that is the tenths place.
  • The value is 4 tenths.
• Answer: 4 tenths

[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) They are equal C) 3/4 D) 1/4
• Hint: When fractions have the same denominator, just compare the numerators: 5/8 > 3/8 because 5 > 3.
• Steps:
  • Both fractions have the same denominator (4).
  • Compare the numerators: 3 > 2.
  • 3/4 is greater than 2/4.
• Answer: 3/4

[Easy] Area of a Rectangle

• EN: A rectangular rug is 5 m long and 3 m wide. What is its area?
• FR: Un tapis rectangulaire mesure 5 m de long et 3 m de large. Quelle est son aire?
• Choices: A) 16 m² B) 12 m² C) 18 m² D) 15 m²
• Hint: Area of a rectangle = length × width. For a 4 m × 6 m room, area = 4 × 6 = 24 m².
• Steps:
  • Area = length × width.
  • Area = 5 × 3 = 15.
  • The area is 15 m².
• Answer: 15 m²

[Medium] Long Division

• EN: A school orders 84 pencils to be shared equally among 4 classes. How many pencils does each class get?
• FR: Une école commande 84 crayons à partager également entre 4 classes. Combien de crayons chaque classe reçoit-elle?
• Choices: A) 22 B) 19 C) 21 D) 24
• Hint: For 96 ÷ 4, ask how many times 4 goes into 9 (twice, with 1 remaining), then bring down: 16 ÷ 4 = 4, giving 24.
• Steps:
  • Divide 84 by 4.
  • 4 goes into 8 twice (2), remainder 0. Bring down 4.
  • 4 goes into 4 once (1). So 84 ÷ 4 = 21.
• Answer: 21

[Medium] Long Division With Remainder

• EN: There are 50 hockey cards to be shared equally among 6 friends. How many cards does each friend get, and how many are left over?
• FR: Il y a 50 cartes de hockey à partager également entre 6 amis. Combien de cartes chaque ami reçoit-il et combien en reste-t-il?
• Choices: A) 7 remainder 8 B) 9 remainder 4 C) 8 remainder 2 D) 6 remainder 4
• Hint: For 25 ÷ 4, think: 4 × 6 = 24, so each gets 6 with 1 left over. Answer: 6 remainder 1.
• Steps:
  • 6 × 8 = 48, and 50 − 48 = 2.
  • Each friend gets 8 cards with 2 left over.
• Answer: 8 remainder 2

[Medium] Elapsed Time

• EN: School starts at 8:45 a.m. and recess is at 10:15 a.m. How long is it from the start of school until recess?
• FR: L'école commence à 8h45 et la récréation est à 10h15. Combien de temps s'écoule-t-il depuis le début de l'école jusqu'à la récréation?
• Choices: A) 2 hours 15 minutes B) 1 hour 30 minutes C) 2 hours D) 1 hour 45 minutes
• Hint: From 9:10 to 10:40 — first jump to 10:10 (1 hour), then add 30 more minutes = 1 hour 30 minutes.
• Steps:
  • From 8:45 to 9:45 is 1 hour.
  • From 9:45 to 10:15 is 30 more minutes.
  • Total: 1 hour 30 minutes.
• Answer: 1 hour 30 minutes

[Medium] Decimal Operations

• EN: A carton of milk costs $1.25 and a muffin costs $0.85. What is the total cost?
• FR: Un carton de lait coûte 1,25 $ et un muffin coûte 0,85 $. Quel est le coût total?
• Choices: A) $1.90 B) $2.15 C) $2.10 D) $2.00
• Hint: Line up the decimal points: 2.30 + 0.47 — add ones, then tenths, then hundredths.
• Steps:
  • $1.25 + $0.85.
  • Cents: 25 + 85 = 110 cents = $1.10.
  • $1.00 + $1.10 = $2.10.
• Answer: $2.10

[Hard] Multi-Step Area and Perimeter

• EN: A rectangular playground is 9 m long and 6 m wide. What is the difference between its perimeter and its area?
• FR: Une cour de récréation rectangulaire mesure 9 m de long et 6 m de large. Quelle est la différence entre son périmètre et son aire?
• Choices: A) 24 B) 0 C) 6 D) 16
• Hint: For a 4 m × 3 m rectangle, perimeter = 4+4+3+3 = 14 m and area = 4×3 = 12 m². Difference = 14 − 12 = 2.
• Steps:
  • Perimeter = 9 + 9 + 6 + 6 = 30 m.
  • Area = 9 × 6 = 54 m².
  • Difference = 54 − 30 = 24.
• Answer: 24

[Hard] Comparing and Ordering Decimals

• EN: Order these decimals from least to greatest: 0.9, 0.45, 0.72, 0.06.
• FR: Ordonne ces nombres décimaux du plus petit au plus grand: 0,9, 0,45, 0,72, 0,06.
• Choices: A) 0.06, 0.45, 0.72, 0.9 B) 0.9, 0.72, 0.45, 0.06 C) 0.45, 0.06, 0.72, 0.9 D) 0.06, 0.72, 0.45, 0.9
• Hint: Compare 0.30 and 0.08 by looking at the tenths digit: 0 < 3, so 0.08 < 0.30.
• Steps:
  • Look at the tenths digit of each: 0.06 → 0, 0.45 → 4, 0.72 → 7, 0.9 → 9.
  • Order by tenths: 0 < 4 < 7 < 9.
  • Least to greatest: 0.06, 0.45, 0.72, 0.9.
• Answer: 0.06, 0.45, 0.72, 0.9

[Easy] Multi-Digit Multiplication

• EN: A store sells 24 boxes of Tim Hortons donuts. Each box has 12 donuts. How many donuts are there in total?
• FR: Un magasin vend 24 boîtes de beignes de Tim Hortons. Chaque boîte contient 12 beignes. Combien y a-t-il de beignes en tout?
• Choices: A) 248 B) 288 C) 276 D) 264
• Hint: To multiply 13 × 11, split it: 13 × 10 = 130, then 13 × 1 = 13, so 130 + 13 = 143.
• Steps:
  • 24 × 12 = 24 × 10 + 24 × 2.
  • 24 × 10 = 240, and 24 × 2 = 48.
  • 240 + 48 = 288.
• Answer: 288

[Easy] Adding Fractions (Like Denominators)

• EN: A recipe uses 2/5 cup of sugar and another recipe uses 1/5 cup of sugar. How much sugar is that in total?
• FR: Une recette utilise 2/5 tasse de sucre et une autre en utilise 1/5 tasse. Combien de sucre cela fait-il en tout?
• Choices: A) 3/10 B) 2/5 C) 3/5 D) 4/5
• Hint: To add fractions with the same denominator, just add the numerators: 1/7 + 3/7 = 4/7.
• Steps:
  • Both fractions have denominator 5.
  • Add the numerators: 2 + 1 = 3.
  • The total is 3/5.
• Answer: 3/5

[Easy] Percentage Introduction

• EN: What is 50% of 80?
• FR: Combien vaut 50% de 80?
• Choices: A) 30 B) 45 C) 40 D) 50
• Hint: 50% means half. To find 50% of 60, divide by 2: 60 ÷ 2 = 30.
• Steps:
  • 50% means half.
  • 80 ÷ 2 = 40.
  • 50% of 80 is 40.
• Answer: 40

[Easy] Decimal Addition

• EN: A student buys a notebook for $3.45 and a pen for $1.25. What is the total cost?
• FR: Un élève achète un cahier pour 3,45 $ et un stylo pour 1,25 $. Quel est le coût total?
• Choices: A) $4.80 B) $4.60 C) $5.10 D) $4.70
• Hint: Line up the decimal points and add: 2.30 + 1.45 = 3.75.
• Steps:
  • $3.45 + $1.25.
  • Cents: 45 + 25 = 70 cents.
  • Dollars: 3 + 1 = 4. Total: $4.70.
• Answer: $4.70

[Medium] Multi-Digit Division

• EN: A school raised $576 in a fundraiser. The money is split equally among 8 clubs. How much does each club receive?
• FR: Une école a amassé 576 $ lors d'une collecte de fonds. L'argent est partagé également entre 8 clubs. Combien chaque club reçoit-il?
• Choices: A) $63 B) $72 C) $68 D) $80
• Hint: For 448 ÷ 7, ask: 7 goes into 44 six times (42), remainder 2. Bring down 8: 28 ÷ 7 = 4. Answer: 64.
• Steps:
  • 576 ÷ 8.
  • 8 goes into 57 seven times (56), remainder 1. Bring down 6: 16 ÷ 8 = 2.
  • 576 ÷ 8 = 72. Each club gets $72.
• Answer: $72

[Medium] Subtracting Fractions

• EN: Olivia had 7/8 of a litre of juice. She drank 3/8 of a litre. How much juice is left?
• FR: Olivia avait 7/8 d'un litre de jus. Elle en a bu 3/8 d'un litre. Combien de jus reste-t-il?
• Choices: A) 1/2 B) 3/8 C) 5/8 D) 4/8
• Hint: To subtract 5/9 − 2/9, keep the denominator and subtract the numerators: 3/9.
• Steps:
  • Both fractions have denominator 8.
  • Subtract the numerators: 7 − 3 = 4.
  • The answer is 4/8, which simplifies to 1/2.
• Answer: 1/2

[Medium] 25% of a Number

• EN: A store offers 25% off a $60 hockey jersey. How much is the discount?
• FR: Un magasin offre 25% de rabais sur un chandail de hockey à 60 $. Quel est le rabais?
• Choices: A) $20 B) $25 C) $15 D) $12
• Hint: 25% = 1/4. To find 25% of 80, divide by 4: 80 ÷ 4 = 20.
• Steps:
  • 25% means one-quarter.
  • 60 ÷ 4 = 15.
  • The discount is $15.
• Answer: $15

[Medium] Volume of a Rectangular Prism

• EN: A box is 5 cm long, 4 cm wide, and 3 cm tall. What is its volume?
• FR: Une boîte mesure 5 cm de long, 4 cm de large et 3 cm de haut. Quel est son volume?
• Choices: A) 48 cm³ B) 72 cm³ C) 60 cm³ D) 40 cm³
• Hint: Volume = length × width × height. For a box 2 × 3 × 4: 2 × 3 = 6, then 6 × 4 = 24 cm³.
• Steps:
  • Volume = length × width × height.
  • 5 × 4 = 20, then 20 × 3 = 60.
  • The volume is 60 cm³.
• Answer: 60 cm³

[Hard] Multi-Step Decimal Problem

• EN: Priya buys 3 notebooks at $2.45 each and pays with a $10 bill. How much change does she receive?
• FR: Priya achète 3 cahiers à 2,45 $ chacun et paie avec un billet de 10 $. Combien reçoit-elle en monnaie?
• Choices: A) $3.35 B) $2.65 C) $3.65 D) $4.15
• Hint: First multiply to find the total cost, then subtract from what was paid: 4 × $1.50 = $6.00, and $10.00 − $6.00 = $4.00.
• Steps:
  • Total cost: 3 × $2.45 = $7.35.
  • Change: $10.00 − $7.35 = $2.65.
  • Priya receives $2.65 in change.
• Answer: $2.65

[Hard] 10% and Multi-Step Percentage

• EN: A clothing store is having a sale. A jacket regularly costs $90. It is first reduced by 10%, and then an extra $5 is taken off. What is the final price?
• FR: Un magasin de vêtements tient une vente. Un manteau coûte normalement 90 $. Il est d'abord réduit de 10%, puis 5 $ de plus sont déduits. Quel est le prix final?
• Choices: A) $76 B) $81 C) $76 D) $80
• Hint: 10% of any number is found by dividing by 10: 10% of 70 = 7. Then subtract that amount, then the extra discount.
• Steps:
  • 10% of $90 = $90 ÷ 10 = $9.
  • After first reduction: $90 − $9 = $81.
  • After extra $5 off: $81 − $5 = $76.
• Answer: $76

[Easy] Percent of a Number

• EN: What is 30% of 200?
• FR: Combien vaut 30% de 200?
• Choices: A) 50 B) 60 C) 45 D) 70
• Hint: To find 20% of 150, find 10% first (150 ÷ 10 = 15) and then double it (15 × 2 = 30).
• Steps:
  • 10% of 200 = 20.
  • 30% = 3 × 10%, so 3 × 20 = 60.
  • 30% of 200 is 60.
• Answer: 60

[Easy] Simple Algebraic Expression

• EN: Evaluate 3n + 5 when n = 4.
• FR: Évalue 3n + 5 lorsque n = 4.
• Choices: A) 12 B) 19 C) 17 D) 22
• Hint: To evaluate 2x + 3 when x = 5, substitute: 2(5) + 3 = 10 + 3 = 13.
• Steps:
  • Substitute n = 4 into 3n + 5.
  • 3(4) + 5 = 12 + 5 = 17.
  • The value is 17.
• Answer: 17

[Easy] Introduction to Integers

• EN: The temperature in Winnipeg was −8°C in the morning and rose by 5°C by noon. What is the temperature at noon?
• FR: La température à Winnipeg était de −8°C le matin et a augmenté de 5°C à midi. Quelle est la température à midi?
• Choices: A) −4°C B) −2°C C) −3°C D) 13°C
• Hint: −10 + 6 means start at −10 and move 6 steps to the right on the number line: −10, −9, −8, −7, −6, −5, −4.
• Steps:
  • Start at −8 and add 5.
  • −8 + 5 = −3.
  • The temperature at noon is −3°C.
• Answer: −3°C

[Easy] Ratios

• EN: In a fruit basket there are 3 apples and 6 oranges. What is the ratio of apples to oranges?
• FR: Dans un panier de fruits, il y a 3 pommes et 6 oranges. Quel est le rapport entre les pommes et les oranges?
• Choices: A) 2:1 B) 1:3 C) 1:2 D) 3:9
• Hint: A ratio of 4 to 8 can be written 4:8, and simplified to 1:2 by dividing both numbers by 4.
• Steps:
  • Ratio of apples to oranges = 3:6.
  • Simplify by dividing both by 3: 1:2.
  • The ratio is 1:2.
• Answer: 1:2

[Medium] Order of Operations (BEDMAS)

• EN: Evaluate: 3 + 4 × 2 − 1.
• FR: Évalue: 3 + 4 × 2 − 1.
• Choices: A) 13 B) 10 C) 16 D) 15
• Hint: In BEDMAS, multiplication comes before addition. For 5 + 2 × 3, do 2 × 3 = 6 first, then 5 + 6 = 11.
• Steps:
  • Multiply first: 4 × 2 = 8.
  • Now evaluate left to right: 3 + 8 − 1.
  • 3 + 8 = 11, then 11 − 1 = 10.
• Answer: 10

[Medium] Fraction Multiplication

• EN: What is 2/3 × 3/4?
• FR: Combien vaut 2/3 × 3/4?
• Choices: A) 5/7 B) 6/7 C) 1/2 D) 2/3
• Hint: To multiply 1/2 × 2/5, multiply the numerators and the denominators: (1×2)/(2×5) = 2/10 = 1/5.
• Steps:
  • Multiply numerators: 2 × 3 = 6.
  • Multiply denominators: 3 × 4 = 12.
  • 6/12 = 1/2.
• Answer: 1/2

[Medium] Rate Problems

• EN: A car travels 90 km in 2 hours. What is its speed in kilometres per hour?
• FR: Une voiture parcourt 90 km en 2 heures. Quelle est sa vitesse en kilomètres par heure?
• Choices: A) 55 km/h B) 30 km/h C) 45 km/h D) 40 km/h
• Hint: Speed = distance ÷ time. If a cyclist goes 60 km in 3 hours, speed = 60 ÷ 3 = 20 km/h.
• Steps:
  • Speed = distance ÷ time.
  • Speed = 90 ÷ 2 = 45.
  • The car's speed is 45 km/h.
• Answer: 45 km/h

[Medium] Fraction Division

• EN: How many 1/4-cup servings are in 3 cups of oatmeal?
• FR: Combien de portions de 1/4 de tasse y a-t-il dans 3 tasses de gruau?
• Choices: A) 8 B) 16 C) 12 D) 9
• Hint: To divide by a fraction, multiply by its reciprocal: 2 ÷ (1/3) = 2 × 3 = 6.
• Steps:
  • 3 ÷ (1/4) = 3 × 4 = 12.
  • There are 12 servings of 1/4 cup in 3 cups.
• Answer: 12

[Hard] Multi-Step Percent Problem

• EN: A $120 pair of skates is on sale for 15% off. What is the sale price?
• FR: Une paire de patins à 120 $ est en solde avec 15% de rabais. Quel est le prix de vente?
• Choices: A) $105 B) $100 C) $102 D) $108
• Hint: Find 15% of the price (10% + 5%), then subtract from the original: 15% of $80 = $8 + $4 = $12, so $80 − $12 = $68.
• Steps:
  • 10% of $120 = $12; 5% = $6; so 15% = $18.
  • Sale price = $120 − $18 = $102.
  • The sale price is $102.
• Answer: $102

[Hard] Order of Operations With Brackets

• EN: Evaluate: (5 + 3)² ÷ 4 − 6.
• FR: Évalue: (5 + 3)² ÷ 4 − 6.
• Choices: A) 18 B) 12 C) 10 D) 22
• Hint: BEDMAS: Brackets first, then Exponents, then Division, then Subtraction. For (2 + 1)² ÷ 3, do 3² = 9, then 9 ÷ 3 = 3.
• Steps:
  • Brackets: 5 + 3 = 8.
  • Exponent: 8² = 64.
  • Division: 64 ÷ 4 = 16. Then subtraction: 16 − 6 = 10.
• Answer: 10

[Easy] Integer Addition

• EN: What is (−12) + 7?
• FR: Combien vaut (−12) + 7?
• Choices: A) −5 B) 5 C) −19 D) 19
• Hint: On a number line, −9 + 4 means start at −9 and move 4 steps right: land on −5.
• Steps:
  • Start at −12 and move 7 steps to the right.
  • −12 + 7 = −5.
• Answer: −5

[Easy] Integer Subtraction

• EN: What is 3 − (−6)?
• FR: Combien vaut 3 − (−6)?
• Choices: A) −3 B) 3 C) 9 D) −9
• Hint: Subtracting a negative is the same as adding a positive: 5 − (−2) = 5 + 2 = 7.
• Steps:
  • 3 − (−6) = 3 + 6.
  • 3 + 6 = 9.
• Answer: 9

[Easy] Percentage — Discount

• EN: A $40 book is on sale with a 20% discount. How much do you save?
• FR: Un livre à 40 $ est en solde avec une réduction de 20%. Combien économises-tu?
• Choices: A) $4 B) $10 C) $8 D) $12
• Hint: Find 20% by calculating 10% first and doubling: 10% of $50 = $5, so 20% = $10.
• Steps:
  • 10% of $40 = $4.
  • 20% = 2 × $4 = $8.
  • You save $8.
• Answer: $8

[Easy] One-Step Linear Equation

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

[Medium] Integer Multiplication

• EN: What is (−4) × (−7)?
• FR: Combien vaut (−4) × (−7)?
• Choices: A) −28 B) 11 C) 28 D) −11
• Hint: Negative × Negative = Positive. So (−3) × (−5) = +15.
• Steps:
  • Negative × Negative = Positive.
  • 4 × 7 = 28.
  • (−4) × (−7) = +28.
• Answer: 28

[Medium] Percentage — Tax

• EN: A video game costs $55.00. If the tax rate is 13%, what is the total price including tax?
• FR: Un jeu vidéo coûte 55,00 $. Si le taux de taxe est de 13%, quel est le prix total avec la taxe?
• Choices: A) $62.15 B) $60.50 C) $63.00 D) $57.15
• Hint: To find the total with 10% tax on $80: 10% = $8, so total = $80 + $8 = $88.
• Steps:
  • 13% of $55 = 0.13 × 55 = $7.15.
  • Total = $55.00 + $7.15 = $62.15.
• Answer: $62.15

[Medium] Surface Area of a Rectangular Prism

• EN: A rectangular gift box is 10 cm long, 6 cm wide, and 4 cm tall. What is its surface area?
• FR: Une boîte cadeau rectangulaire mesure 10 cm de long, 6 cm de large et 4 cm de haut. Quelle est son aire de surface?
• Choices: A) 248 cm² B) 240 cm² C) 180 cm² D) 208 cm²
• Hint: Surface area = 2(lw + lh + wh). For a box 3×2×5: 2(6 + 15 + 10) = 2(31) = 62 cm².
• Steps:
  • SA = 2(lw + lh + wh) = 2(10×6 + 10×4 + 6×4).
  • = 2(60 + 40 + 24) = 2(124).
  • SA = 248 cm².
• Answer: 248 cm²

[Medium] Probability

• EN: A bag contains 3 red marbles, 4 blue marbles, and 3 green marbles. If you pick one at random, what is the probability of picking a blue marble?
• FR: Un sac contient 3 billes rouges, 4 billes bleues et 3 billes vertes. Si tu en piges une au hasard, quelle est la probabilité de piger une bille bleue?
• Choices: A) 3/10 B) 2/5 C) 1/4 D) 1/3
• Hint: Probability = favourable outcomes ÷ total outcomes. For 2 red out of 8 total, P = 2/8 = 1/4.
• Steps:
  • Total marbles = 3 + 4 + 3 = 10.
  • Blue marbles = 4.
  • Probability = 4/10 = 2/5.
• Answer: 2/5

[Hard] Two-Step Integer Problem

• EN: The temperature in Thunder Bay dropped from 5°C to −11°C overnight and then rose 4°C in the morning. What is the final temperature?
• FR: La température à Thunder Bay a chuté de 5°C à −11°C pendant la nuit, puis a augmenté de 4°C le matin. Quelle est la température finale?
• Choices: A) −3°C B) −8°C C) −7°C D) −10°C
• Hint: First find the drop (subtract), then find the rise (add): if it drops from 3°C to −6°C, the drop is 9°C; then rising 2°C gives −4°C.
• Steps:
  • The temperature is already at −11°C after the drop.
  • It then rises 4°C: −11 + 4 = −7°C.
  • The final temperature is −7°C.
• Answer: −7°C

[Hard] One-Step Equation With Fractions

• EN: Solve for y: y/3 = 9.
• FR: Résous pour y: y/3 = 9.
• Choices: A) y = 3 B) y = 12 C) y = 27 D) y = 6
• Hint: To solve x/5 = 7, multiply both sides by 5: x = 7 × 5 = 35.
• Steps:
  • Multiply both sides by 3.
  • y = 9 × 3 = 27.
• Answer: y = 27

[Easy] Perfect Squares

• EN: What is the square root of 144?
• FR: Quelle est la racine carrée de 144?
• Choices: A) 11 B) 14 C) 12 D) 13
• Hint: Think: what number multiplied by itself equals 100? Since 10 × 10 = 100, √100 = 10.
• Steps:
  • Ask: what number times itself equals 144?
  • 12 × 12 = 144.
  • √144 = 12.
• Answer: 12

[Easy] Mean of a Data Set

• EN: A student's math test scores are 70, 80, 90, and 60. What is the mean (average)?
• FR: Un élève a obtenu 70, 80, 90 et 60 à ses tests de mathématiques. Quelle est la moyenne?
• Choices: A) 80 B) 70 C) 75 D) 65
• Hint: To find the mean of 10, 20, 30, add them: 60, then divide by 3 scores: 60 ÷ 3 = 20.
• Steps:
  • Add the scores: 70 + 80 + 90 + 60 = 300.
  • Divide by the number of scores (4): 300 ÷ 4 = 75.
  • The mean is 75.
• Answer: 75

[Easy] Two-Step Equation

• EN: Solve for x: 2x + 3 = 11.
• FR: Résous pour x: 2x + 3 = 11.
• Choices: A) x = 7 B) x = 3 C) x = 4 D) x = 5
• Hint: For 3x + 2 = 14, subtract 2 first (3x = 12), then divide by 3 (x = 4).
• Steps:
  • Subtract 3 from both sides: 2x = 8.
  • Divide both sides by 2: x = 4.
• Answer: x = 4

[Easy] Percent Increase

• EN: A hockey player scored 20 goals last season and 25 goals this season. What is the percent increase?
• FR: Un joueur de hockey a marqué 20 buts la saison dernière et 25 cette saison. Quel est le pourcentage d'augmentation?
• Choices: A) 20% B) 5% C) 30% D) 25%
• Hint: Percent increase = (new − old) ÷ old × 100%. If a price goes from $40 to $48: (8 ÷ 40) × 100% = 20%.
• Steps:
  • Increase = 25 − 20 = 5.
  • Percent increase = (5 ÷ 20) × 100% = 25%.
• Answer: 25%

[Medium] Two-Step Equation (Negative)

• EN: Solve for x: 3x − 7 = 14.
• FR: Résous pour x: 3x − 7 = 14.
• Choices: A) x = 9 B) x = 8 C) x = 7 D) x = 11
• Hint: For 4x − 5 = 11, add 5 first (4x = 16), then divide by 4 (x = 4).
• Steps:
  • Add 7 to both sides: 3x = 21.
  • Divide both sides by 3: x = 7.
• Answer: x = 7

[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) 14 cm B) 12 cm C) 10 cm D) 11 cm
• Hint: For a triangle with legs 3 and 4: 3² + 4² = 9 + 16 = 25, and √25 = 5. The hypotenuse is 5.
• Steps:
  • c² = a² + b² = 6² + 8² = 36 + 64 = 100.
  • c = √100 = 10.
  • The hypotenuse is 10 cm.
• Answer: 10 cm

[Medium] Slope Introduction

• EN: A line passes through points (2, 3) and (6, 7). What is the slope of the line?
• FR: Une droite passe par les points (2, 3) et (6, 7). Quelle est la pente de cette droite?
• Choices: A) 2 B) 1/2 C) 3 D) 1
• Hint: Slope = (y₂ − y₁) ÷ (x₂ − x₁). For points (1, 2) and (3, 6): slope = (6−2)÷(3−1) = 4÷2 = 2.
• Steps:
  • Slope = (7 − 3) ÷ (6 − 2) = 4 ÷ 4 = 1.
• Answer: 1

[Medium] Median and Mode

• EN: Find the median of this data set: 5, 3, 8, 1, 7, 3, 9.
• FR: Trouve la médiane de cet ensemble de données: 5, 3, 8, 1, 7, 3, 9.
• Choices: A) 3 B) 8 C) 5 D) 7
• Hint: To find the median, first arrange the numbers in order, then find the middle value: for 2, 4, 6, 8, 10 the median is 6.
• Steps:
  • Arrange in order: 1, 3, 3, 5, 7, 8, 9.
  • There are 7 values; the middle (4th) value is 5.
  • The median is 5.
• Answer: 5

[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) 9 cm C) 12 cm D) 11 cm
• Hint: Use a² = c² − b². For c = 10 and b = 6: a² = 100 − 36 = 64, so a = 8.
• Steps:
  • a² = c² − b² = 13² − 5² = 169 − 25 = 144.
  • a = √144 = 12.
  • The other leg is 12 cm.
• Answer: 12 cm

[Hard] Percent Decrease Problem

• EN: A store originally sold a jacket for $150. After a sale, the price dropped to $120. What is the percent decrease?
• FR: Un magasin vendait un manteau à 150 $. Après une vente, le prix est passé à 120 $. Quel est le pourcentage de diminution?
• Choices: A) 25% B) 30% C) 15% D) 20%
• Hint: Percent decrease = (original − new) ÷ original × 100%. If price drops from $80 to $64: (16 ÷ 80) × 100% = 20%.
• Steps:
  • Decrease = 150 − 120 = 30.
  • Percent decrease = (30 ÷ 150) × 100% = 20%.
• Answer: 20%

[Easy] Solving a Linear Equation

• EN: Solve for x: 4x − 6 = 18.
• FR: Résous pour x: 4x − 6 = 18.
• Choices: A) x = 3 B) x = 8 C) x = 5 D) x = 6
• Hint: For 5x − 10 = 20, add 10 to both sides (5x = 30), then divide by 5 (x = 6).
• Steps:
  • Add 6 to both sides: 4x = 24.
  • Divide both sides by 4: x = 6.
• Answer: x = 6

[Easy] Adding Polynomials

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

[Easy] Graphing Lines — Slope-Intercept

• EN: A line has the equation y = 2x + 1. What is its y-intercept?
• FR: Une droite a l'équation y = 2x + 1. Quel est son ordonnée à l'origine?
• Choices: A) 2 B) −1 C) 1 D) 3
• Hint: In the equation y = mx + b, the y-intercept is the value of b. For y = 3x + 7, the y-intercept is 7.
• Steps:
  • The equation is y = 2x + 1 in slope-intercept form y = mx + b.
  • The y-intercept is b = 1.
• Answer: 1

[Easy] Similar Triangles

• EN: Two similar triangles have corresponding sides. The smaller triangle has a base of 4 cm and the larger has a base of 12 cm. If the smaller triangle's height is 3 cm, what is the larger triangle's height?
• FR: Deux triangles semblables ont des côtés correspondants. Le plus petit a une base de 4 cm et le plus grand de 12 cm. Si la hauteur du plus petit est de 3 cm, quelle est la hauteur du plus grand?
• Choices: A) 7 cm B) 8 cm C) 9 cm D) 6 cm
• Hint: Find the scale factor first: larger ÷ smaller. For bases 6 and 9, scale factor = 9 ÷ 6 = 1.5. Then multiply the known side by 1.5.
• Steps:
  • Scale factor = 12 ÷ 4 = 3.
  • Larger height = 3 cm × 3 = 9 cm.
• Answer: 9 cm

[Medium] Solving a Linear Inequality

• EN: Solve for x: 3x + 5 > 14.
• FR: Résous pour x: 3x + 5 > 14.
• Choices: A) x > 4 B) x > 6 C) x > 2 D) x > 3
• Hint: Solve 2x + 4 > 10 the same way as an equation: subtract 4 (2x > 6), then divide by 2 (x > 3).
• Steps:
  • Subtract 5 from both sides: 3x > 9.
  • Divide both sides by 3: x > 3.
• Answer: x > 3

[Medium] Multiplying Polynomials

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

[Medium] Trigonometry — SOH-CAH-TOA

• EN: In a right triangle, the opposite side is 5 cm and the hypotenuse is 13 cm. What is sin θ?
• FR: Dans un triangle rectangle, le côté opposé mesure 5 cm et l'hypoténuse 13 cm. Quelle est la valeur de sin θ?
• Choices: A) 13/5 B) 5/13 C) 12/13 D) 5/12
• Hint: SOH: sin = opposite ÷ hypotenuse. For opposite = 3 and hypotenuse = 5, sin θ = 3/5.
• Steps:
  • sin θ = opposite ÷ hypotenuse.
  • sin θ = 5 ÷ 13 = 5/13.
• Answer: 5/13

[Medium] Statistics — Finding the Mean

• EN: Five students measured snowfall in cm: 12, 17, 9, 14, and 8. What is the mean snowfall?
• FR: Cinq élèves ont mesuré les chutes de neige en cm: 12, 17, 9, 14 et 8. Quelle est la moyenne?
• Choices: A) 13 cm B) 11 cm C) 14 cm D) 12 cm
• Hint: Mean = sum of all values ÷ number of values. For 6, 8, 10: sum = 24, count = 3, mean = 8.
• Steps:
  • Sum = 12 + 17 + 9 + 14 + 8 = 60.
  • Mean = 60 ÷ 5 = 12.
  • The mean snowfall is 12 cm.
• Answer: 12 cm

[Hard] Solving Linear Equations With Variables on Both Sides

• EN: Solve for x: 5x − 4 = 3x + 10.
• FR: Résous pour x: 5x − 4 = 3x + 10.
• Choices: A) x = 8 B) x = 3 C) x = 7 D) x = 6
• Hint: Move all x-terms to one side: for 6x − 3 = 4x + 9, subtract 4x (2x − 3 = 9), then add 3 (2x = 12), so x = 6.
• Steps:
  • Subtract 3x from both sides: 2x − 4 = 10.
  • Add 4 to both sides: 2x = 14.
  • Divide by 2: x = 7.
• Answer: x = 7

[Hard] Trigonometry — Finding a Side

• EN: In a right triangle, angle θ = 30°, and the hypotenuse is 20 cm. What is the length of the opposite side? (sin 30° = 0.5)
• FR: Dans un triangle rectangle, l'angle θ = 30° et l'hypoténuse mesure 20 cm. Quelle est la longueur du côté opposé? (sin 30° = 0,5)
• Choices: A) 8 cm B) 12 cm C) 10 cm D) 15 cm
• Hint: opposite = sin θ × hypotenuse. For θ = 45° and hypotenuse = 14 cm, opposite = 0.707 × 14 ≈ 9.9 cm.
• Steps:
  • opposite = sin θ × hypotenuse.
  • opposite = 0.5 × 20 = 10 cm.
• Answer: 10 cm

[Easy] Factoring a Quadratic

• EN: Factor: x² + 7x + 12.
• FR: Factorise: x² + 7x + 12.
• Choices: A) (x + 3)(x + 4) B) (x + 2)(x + 6) C) (x + 1)(x + 12) D) (x + 4)(x + 4)
• Hint: Find two numbers that multiply to 12 and add to 7. For x² + 5x + 6, the numbers are 2 and 3: (x + 2)(x + 3).
• Steps:
  • Find factors of 12 that add to 7: 3 × 4 = 12 and 3 + 4 = 7.
  • Factor: (x + 3)(x + 4).
• Answer: (x + 3)(x + 4)

[Easy] Trigonometry — Finding an Angle

• EN: In a right triangle, the opposite side is 6 cm and the hypotenuse is 10 cm. What is sin θ?
• FR: Dans un triangle rectangle, le côté opposé mesure 6 cm et l'hypoténuse 10 cm. Quelle est la valeur de sin θ?
• Choices: A) 10/6 B) 6/8 C) 6/10 D) 8/10
• Hint: sin θ = opposite ÷ hypotenuse. For opposite = 4, hypotenuse = 5, sin θ = 4/5.
• Steps:
  • sin θ = opposite ÷ hypotenuse.
  • sin θ = 6 ÷ 10 = 6/10.
• Answer: 6/10

[Easy] Solving a System of Equations

• EN: Solve the system: x + y = 10 and x − y = 2. What is x?
• FR: Résous le système: x + y = 10 et x − y = 2. Quelle est la valeur de x?
• Choices: A) x = 4 B) x = 8 C) x = 6 D) x = 5
• Hint: Add the two equations to eliminate y: for x + y = 8 and x − y = 4, adding gives 2x = 12, so x = 6.
• Steps:
  • Add the two equations: (x + y) + (x − y) = 10 + 2.
  • 2x = 12, so x = 6.
• Answer: x = 6

[Easy] Volume of a Cylinder

• EN: A cylinder has a radius of 3 cm and a height of 7 cm. What is its volume? (Use π ≈ 3.14)
• FR: Un cylindre a un rayon de 3 cm et une hauteur de 7 cm. Quel est son volume? (Utilise π ≈ 3,14)
• Choices: A) 197.82 cm³ B) 188.4 cm³ C) 65.94 cm³ D) 263.76 cm³
• Hint: Volume of a cylinder = π × r² × h. For r = 2 and h = 5: V = 3.14 × 4 × 5 = 62.8 cm³.
• Steps:
  • V = π × r² × h = 3.14 × 3² × 7.
  • 3² = 9; 9 × 7 = 63; 63 × 3.14 = 197.82.
  • The volume is 197.82 cm³.
• Answer: 197.82 cm³

[Medium] Completing the Square

• EN: Rewrite x² + 6x + 5 = 0 by completing the square. What is the value of h in (x + h)² = k?
• FR: Réécris x² + 6x + 5 = 0 en complétant le carré. Quelle est la valeur de h dans (x + h)² = k?
• Choices: A) h = 5 B) h = 6 C) h = 4 D) h = 3
• Hint: For x² + 4x + 3 = 0, take half the x-coefficient: 4 ÷ 2 = 2, so (x + 2)² = k.
• Steps:
  • x² + 6x + 5 = 0. Take half the x coefficient: 6 ÷ 2 = 3.
  • Rewrite: (x + 3)² − 9 + 5 = 0, so (x + 3)² = 4.
  • h = 3.
• Answer: h = 3

[Medium] Circle Geometry — Arc Length

• EN: A circle has a radius of 5 cm. What is the circumference? (Use π ≈ 3.14)
• FR: Un cercle a un rayon de 5 cm. Quelle est sa circonférence? (Utilise π ≈ 3,14)
• Choices: A) 31.4 cm B) 78.5 cm C) 15.7 cm D) 25 cm
• Hint: Circumference = 2πr. For r = 4 cm: C = 2 × 3.14 × 4 = 25.12 cm.
• Steps:
  • C = 2 × π × r = 2 × 3.14 × 5.
  • C = 6.28 × 5 = 31.4 cm.
• Answer: 31.4 cm

[Medium] Solving a Quadratic by Factoring

• EN: Solve for x: x² − 5x + 6 = 0.
• FR: Résous pour x: x² − 5x + 6 = 0.
• Choices: A) x = 2 or x = 3 B) x = 1 or x = 6 C) x = −2 or x = −3 D) x = 2 or x = 6
• Hint: Factor the quadratic and set each factor equal to zero. For x² − 7x + 12 = 0: (x − 3)(x − 4) = 0, so x = 3 or x = 4.
• Steps:
  • Factor: x² − 5x + 6 = (x − 2)(x − 3) = 0.
  • Set each factor to zero: x − 2 = 0 → x = 2; x − 3 = 0 → x = 3.
• Answer: x = 2 or x = 3

[Medium] Trigonometry — Finding a Side with Cos

• EN: In a right triangle, angle θ = 60° and the hypotenuse is 10 cm. What is the adjacent side? (cos 60° = 0.5)
• FR: Dans un triangle rectangle, l'angle θ = 60° et l'hypoténuse mesure 10 cm. Quel est le côté adjacent? (cos 60° = 0,5)
• Choices: A) 8.66 cm B) 7 cm C) 5 cm D) 6 cm
• Hint: CAH: adjacent = cos θ × hypotenuse. For θ = 30° and hypotenuse = 8 cm, adjacent = 0.866 × 8 ≈ 6.93 cm.
• Steps:
  • adjacent = cos θ × hypotenuse.
  • adjacent = 0.5 × 10 = 5 cm.
• Answer: 5 cm

[Hard] Quadratic Formula

• EN: Solve using the quadratic formula: x² + 2x − 8 = 0.
• FR: Résous à l'aide de la formule quadratique: x² + 2x − 8 = 0.
• Choices: A) x = 2 or x = −4 B) x = 4 or x = −2 C) x = −2 or x = 4 D) x = 1 or x = −8
• Hint: Quadratic formula: x = (−b ± √(b²−4ac)) ÷ (2a). For x² + x − 6 = 0: discriminant = 1 + 24 = 25, √25 = 5, so x = (−1 ± 5)/2.
• Steps:
  • a = 1, b = 2, c = −8. Discriminant = 4 + 32 = 36. √36 = 6.
  • x = (−2 + 6)/2 = 2, or x = (−2 − 6)/2 = −4.
• Answer: x = 2 or x = −4

[Hard] Systems of Equations by Substitution

• EN: Solve the system: y = 3x − 1 and 2x + y = 9. What is y?
• FR: Résous le système: y = 3x − 1 et 2x + y = 9. Quelle est la valeur de y?
• Choices: A) y = 5 B) y = 7 C) y = 4 D) y = 8
• Hint: Substitute the first equation into the second: for y = 2x and 3x + y = 15, substitute to get 3x + 2x = 15, so 5x = 15 and x = 3.
• Steps:
  • Substitute y = 3x − 1 into 2x + y = 9: 2x + 3x − 1 = 9.
  • 5x = 10, so x = 2. Then y = 3(2) − 1 = 5.
• Answer: y = 5

[Easy] Exponential Function

• EN: A bacteria culture starts with 100 bacteria and doubles every hour. How many bacteria are there after 3 hours?
• FR: Une culture bactérienne commence avec 100 bactéries et double chaque heure. Combien y a-t-il de bactéries après 3 heures?
• Choices: A) 600 B) 800 C) 1000 D) 700
• Hint: For doubling, use f(t) = start × 2^t. If you start with 50 and double twice: 50 × 2² = 50 × 4 = 200.
• Steps:
  • f(t) = 100 × 2^t.
  • f(3) = 100 × 2³ = 100 × 8 = 800.
• Answer: 800

[Easy] Logarithm Introduction

• EN: What is log₂(16)?
• FR: Combien vaut log₂(16)?
• Choices: A) 2 B) 8 C) 3 D) 4
• Hint: log₂(8) asks: 2 to what power equals 8? Since 2³ = 8, log₂(8) = 3.
• Steps:
  • log₂(16) asks: 2 to what power equals 16?
  • 2⁴ = 16.
  • log₂(16) = 4.
• Answer: 4

[Easy] Arithmetic Sequence

• EN: In an arithmetic sequence, the first term is 5 and the common difference is 6. What is the 4th term?
• FR: Dans une suite arithmétique, le premier terme est 5 et la raison est 6. Quel est le 4e terme?
• Choices: A) 21 B) 25 C) 23 D) 29
• Hint: The nth term of an arithmetic sequence = a + (n−1)d. For a = 3, d = 4, the 3rd term = 3 + 2×4 = 11.
• Steps:
  • 4th term = a + (n−1)d = 5 + (4−1) × 6.
  • = 5 + 3 × 6 = 5 + 18 = 23.
• Answer: 23

[Easy] Compound Interest

• EN: An investment of $1000 earns 5% interest compounded annually. What is the amount after 1 year?
• FR: Un investissement de 1000 $ rapporte 5% d'intérêt composé annuellement. Quel est le montant après 1 an?
• Choices: A) $1050 B) $1005 C) $1100 D) $1025
• Hint: After 1 year with compound interest: A = P(1 + r). For $500 at 4%: A = 500(1.04) = $520.
• Steps:
  • A = P(1 + r)^t = 1000(1 + 0.05)^1.
  • A = 1000 × 1.05 = $1050.
• Answer: $1050

[Medium] Geometric Sequence

• EN: In a geometric sequence, the first term is 3 and the common ratio is 4. What is the 4th term?
• FR: Dans une suite géométrique, le premier terme est 3 et la raison est 4. Quel est le 4e terme?
• Choices: A) 192 B) 144 C) 256 D) 48
• Hint: The nth term of a geometric sequence = a × r^(n−1). For a = 2, r = 3, the 3rd term = 2 × 3² = 18.
• Steps:
  • 4th term = a × r^(n−1) = 3 × 4^(4−1) = 3 × 4³.
  • 4³ = 64; 3 × 64 = 192.
• Answer: 192

[Medium] Logarithm — Product Rule

• EN: Simplify: log(4) + log(25).
• FR: Simplifie: log(4) + log(25).
• Choices: A) log(100) B) log(29) C) log(50) D) log(21)
• Hint: The product rule of logarithms: log(a) + log(b) = log(a × b). For example, log(2) + log(5) = log(10).
• Steps:
  • log(4) + log(25) = log(4 × 25).
  • 4 × 25 = 100.
  • The answer is log(100).
• Answer: log(100)

[Medium] Compound Interest Over Multiple Years

• EN: An account has $2000 invested at 6% compounded annually. What is the amount after 2 years? (Round to the nearest cent.)
• FR: Un compte a 2000 $ investis à 6% composé annuellement. Quel est le montant après 2 ans? (Arrondis au cent près.)
• Choices: A) $2247.20 B) $2240.00 C) $2120.00 D) $2254.40
• Hint: A = P(1 + r)^t. For $1000 at 5% for 2 years: A = 1000(1.05)² = 1000 × 1.1025 = $1102.50.
• Steps:
  • A = 2000(1.06)² = 2000 × 1.1236.
  • A = $2247.20.
• Answer: $2247.20

[Medium] Trigonometric Identity

• EN: If sin θ = 0.6, use the Pythagorean identity sin²θ + cos²θ = 1 to find cos θ (assume θ is in the first quadrant).
• FR: Si sin θ = 0,6, utilise l'identité pythagoricienne sin²θ + cos²θ = 1 pour trouver cos θ (suppose que θ est dans le premier quadrant).
• Choices: A) cos θ = 0.6 B) cos θ = 0.9 C) cos θ = 0.8 D) cos θ = 0.7
• Hint: cos²θ = 1 − sin²θ. For sin θ = 0.8: cos²θ = 1 − 0.64 = 0.36, so cos θ = 0.6.
• Steps:
  • cos²θ = 1 − sin²θ = 1 − 0.6² = 1 − 0.36 = 0.64.
  • cos θ = √0.64 = 0.8.
• Answer: cos θ = 0.8

[Hard] Sum of an Arithmetic Series

• EN: Find the sum of the first 20 terms of the arithmetic sequence with first term 3 and common difference 5.
• FR: Trouve la somme des 20 premiers termes de la suite arithmétique dont le premier terme est 3 et la raison est 5.
• Choices: A) 1010 B) 990 C) 1030 D) 1060
• Hint: Sₙ = n/2 × (2a + (n−1)d). For 10 terms with a = 1, d = 3: S₁₀ = 10/2 × (2 + 27) = 5 × 29 = 145.
• Steps:
  • S₂₀ = 20/2 × (2(3) + (20−1)(5)).
  • = 10 × (6 + 95) = 10 × 101 = 1010.
• Answer: 1010

[Hard] Annuity Problem

• EN: You deposit $500 at the end of each year into an account earning 4% compounded annually. What is the total value after 3 years? (Round to the nearest dollar.)
• FR: Tu déposes 500 $ à la fin de chaque année dans un compte à 4% composé annuellement. Quelle est la valeur totale après 3 ans? (Arrondis au dollar près.)
• Choices: A) $1549 B) $1624 C) $1600 D) $1560
• Hint: Each payment earns interest for a different number of years. For 2 years at 4% with $100 annual payments: $100(1.04)¹ + $100(1.04)⁰ = $104 + $100 = $204.
• Steps:
  • Year 1 payment grows for 2 years: $500 × (1.04)² = $500 × 1.0816 = $540.80.
  • Year 2 payment grows for 1 year: $500 × 1.04 = $520.00.
  • Year 3 payment grows for 0 years: $500. Total = $540.80 + $520.00 + $500 = $1560.80 ≈ $1560.
• Hint: Each payment earns interest for a different number of years — calculate each one separately, then add.
• Answer: $1560

[Easy] Permutations

• EN: How many ways can you arrange 4 different books on a shelf?
• FR: De combien de façons peut-on arranger 4 livres différents sur une étagère?
• Choices: A) 16 B) 12 C) 24 D) 20
• Hint: The number of ways to arrange n objects is n! (n factorial). For 3 objects: 3! = 3 × 2 × 1 = 6.
• Steps:
  • 4! = 4 × 3 × 2 × 1.
  • = 24.
• Answer: 24

[Easy] Combinations

• EN: How many ways can you choose 2 students from a group of 5 to represent the class?
• FR: De combien de façons peut-on choisir 2 élèves parmi un groupe de 5 pour représenter la classe?
• Choices: A) 20 B) 12 C) 10 D) 8
• Hint: C(n, r) = n! ÷ (r! × (n−r)!). For C(4, 2) = 4! ÷ (2! × 2!) = 24 ÷ 4 = 6.
• Steps:
  • C(5, 2) = 5! ÷ (2! × 3!) = (5 × 4) ÷ (2 × 1) = 20 ÷ 2 = 10.
• Answer: 10

[Easy] Derivative Introduction — Power Rule

• EN: Using the power rule, what is the derivative of f(x) = x³?
• FR: En utilisant la règle de puissance, quelle est la dérivée de f(x) = x³?
• Choices: A) f'(x) = 3x B) f'(x) = x² C) f'(x) = 3x² D) f'(x) = 3x⁴
• Hint: Power rule: if f(x) = xⁿ, then f'(x) = n·xⁿ⁻¹. For f(x) = x⁵, f'(x) = 5x⁴.
• Steps:
  • f(x) = x³; apply the power rule: bring down the exponent, reduce by 1.
  • f'(x) = 3 · x^(3−1) = 3x².
• Answer: f'(x) = 3x²

[Easy] Rational Function — Domain

• EN: What is the domain of f(x) = 1/(x − 4)?
• FR: Quel est le domaine de f(x) = 1/(x − 4)?
• Choices: A) All real numbers except x = −4 B) All real numbers except x = 0 C) All real numbers except x = 4 D) All real numbers
• Hint: A rational function is undefined where its denominator equals zero. For 1/(x + 3), set x + 3 = 0, so x = −3 is excluded.
• Steps:
  • Set the denominator equal to zero: x − 4 = 0, so x = 4.
  • The function is undefined at x = 4.
  • Domain: All real numbers except x = 4.
• Answer: All real numbers except x = 4

[Medium] Derivative — Finding Slope of Tangent

• EN: Find the slope of the tangent to f(x) = 2x² + 3x at x = 2.
• FR: Trouve la pente de la tangente à f(x) = 2x² + 3x en x = 2.
• Choices: A) 10 B) 11 C) 13 D) 8
• Hint: Find f'(x) using the power rule, then substitute the x-value. For f(x) = x² + 2x, f'(x) = 2x + 2, and at x = 3, slope = 8.
• Steps:
  • f'(x) = 4x + 3 (using the power rule).
  • f'(2) = 4(2) + 3 = 8 + 3 = 11.
• Answer: 11

[Medium] Probability Distribution

• EN: A fair die is rolled. What is the expected value (mean) of the outcome?
• FR: On lance un dé équitable. Quelle est la valeur espérée (moyenne) du résultat?
• Choices: A) 3 B) 4 C) 3.5 D) 2.5
• Hint: Expected value = Σ(x · P(x)). For a fair coin with 0 for tails and 1 for heads: E = 0 × 0.5 + 1 × 0.5 = 0.5.
• Steps:
  • Each outcome (1 through 6) has probability 1/6.
  • E = (1 + 2 + 3 + 4 + 5 + 6) / 6 = 21 / 6 = 3.5.
• Answer: 3.5

[Medium] Polynomial Division

• EN: Divide: (x² + 5x + 6) ÷ (x + 2).
• FR: Divise: (x² + 5x + 6) ÷ (x + 2).
• Choices: A) x + 4 B) x − 3 C) x + 3 D) x + 2
• Hint: Factor the numerator and cancel: for (x² + 4x + 4) ÷ (x + 2), factor to (x+2)²/(x+2) = x + 2.
• Steps:
  • Factor the numerator: x² + 5x + 6 = (x + 2)(x + 3).
  • Divide by (x + 2): (x + 2)(x + 3) ÷ (x + 2) = x + 3.
• Answer: x + 3

[Medium] Vectors — Adding Vectors

• EN: Vector a = (3, 5) and vector b = (−1, 4). What is a + b?
• FR: Le vecteur a = (3, 5) et le vecteur b = (−1, 4). Quel est a + b?
• Choices: A) (4, 9) B) (2, 9) C) (2, 1) D) (3, 9)
• Hint: Add vectors component by component: (2, 3) + (4, −1) = (2+4, 3+(−1)) = (6, 2).
• Steps:
  • Add the x-components: 3 + (−1) = 2.
  • Add the y-components: 5 + 4 = 9.
  • a + b = (2, 9).
• Answer: (2, 9)

[Hard] Derivatives — Chain Rule

• EN: Find the derivative of f(x) = (3x + 2)⁴.
• FR: Trouve la dérivée de f(x) = (3x + 2)⁴.
• Choices: A) f'(x) = 4(3x + 2)³ B) f'(x) = 12(3x + 2)⁴ C) f'(x) = 12(3x + 2)³ D) f'(x) = 3(3x + 2)³
• Hint: Chain rule: if f(x) = [g(x)]ⁿ, then f'(x) = n · [g(x)]^(n−1) · g'(x). For (2x + 1)³, f'(x) = 3(2x+1)² × 2 = 6(2x+1)².
• Steps:
  • Outer function: power rule → 4(3x + 2)³.
  • Inner function derivative: d/dx(3x + 2) = 3.
  • Chain rule: f'(x) = 4(3x + 2)³ × 3 = 12(3x + 2)³.
• Answer: f'(x) = 12(3x + 2)³

[Hard] Binomial Theorem and Probability

• EN: A student randomly guesses on 4 true/false questions. What is the probability of getting exactly 3 correct? (Each answer has a 1/2 chance of being right.)
• FR: Un élève répond au hasard à 4 questions vrai ou faux. Quelle est la probabilité d'obtenir exactement 3 bonnes réponses? (Chaque réponse a 1/2 de chance d'être correcte.)
• Choices: A) 1/4 B) 3/16 C) 1/16 D) 3/8
• Hint: Use the binomial formula: P(X = k) = C(n, k) × p^k × (1−p)^(n−k). For 3 successes out of 4 with p = 0.5: C(4,3) = 4, and 0.5³ × 0.5¹ = 1/16.
• Steps:
  • P(X = 3) = C(4, 3) × (1/2)³ × (1/2)¹.
  • C(4, 3) = 4. (1/2)³ × (1/2)¹ = 1/16.
  • P = 4 × (1/16) = 4/16 = 1/4.
• Answer: 1/4