Daily Math — 2026-10-06

[Easy] Counting Mittens

• EN: Mia has 7 mittens. She finds 5 more. How many mittens does she have in all?
• FR: Mia a 7 mitaines. Elle en trouve 5 autres. Combien de mitaines a-t-elle en tout?
• Choices: A) 10 mittens B) 11 mittens C) 12 mittens D) 13 mittens
• Hint: To add, count on from the bigger number — like 8 + 3: start at 8, count 9, 10, 11.
• Steps:
  • Start at 7 and count on 5 more.
  • 8, 9, 10, 11, 12 — that is 5 steps.
  • So the total is 12 mittens.
• Answer: 12 mittens

[Easy] Skip Counting by 5s

• EN: Count by 5s. What number comes after 15?
• FR: Compte par 5. Quel nombre vient après 15?
• Choices: A) 16 B) 18 C) 20 D) 25
• Hint: When counting by 5s, add 5 to the number before — like 10 + 5 = 15.
• Steps:
  • Skip counting by 5s goes: 5, 10, 15, …
  • Add 5 to 15: 15 + 5 = 20.
  • So the next number is 20.
• Answer: 20

[Easy] Comparing Numbers

• EN: Which number is bigger: 14 or 9?
• FR: Quel nombre est plus grand : 14 ou 9?
• Choices: A) 9 B) 11 C) 14 D) 12
• Hint: The number farther to the right on a number line is always bigger — like 6 is bigger than 3.
• Steps:
  • Place both numbers on a number line.
  • 14 is farther to the right than 9.
  • So 14 is the bigger number.
• Answer: 14

[Easy] Coin Recognition

• EN: What coin is worth 10 cents?
• FR: Quelle pièce vaut 10 cents?
• Choices: A) Penny B) Nickel C) Dime D) Quarter
• Hint: Think about each coin's value: a penny = 1 cent, a nickel = 5 cents, a dime = 10 cents.
• Steps:
  • A penny is worth 1 cent.
  • A nickel is worth 5 cents.
  • A dime is worth 10 cents — that is the answer.
• Answer: Dime

[Medium] Subtracting Snowballs

• EN: Liam had 18 snowballs. He threw 9. How many snowballs does he have left?
• FR: Liam avait 18 balles de neige. Il en a lancé 9. Combien lui en reste-t-il?
• Choices: A) 7 snowballs B) 8 snowballs C) 9 snowballs D) 10 snowballs
• Hint: To subtract, count back from the bigger number — like 15 − 6: count back 6 from 15.
• Steps:
  • Start at 18 and count back 9.
  • 17, 16, 15, 14, 13, 12, 11, 10, 9 — that is 9 steps back.
  • So 18 − 9 = 9 snowballs.
• Answer: 9 snowballs

[Medium] Skip Counting by 2s

• EN: Skip count by 2s. Fill in the blank: 4, 6, 8, __, 12.
• FR: Compte par 2. Remplis le blanc : 4, 6, 8, __, 12.
• Choices: A) 9 B) 10 C) 11 D) 13
• Hint: When counting by 2s, add 2 each time — like 6, 8, 10, 12.
• Steps:
  • The pattern adds 2 each time: 4, 6, 8, …
  • 8 + 2 = 10.
  • So the missing number is 10.
• Answer: 10

[Medium] Adding at the Store

• EN: Tom has 6 stickers. His friend gives him 8 more. How many stickers does Tom have now?
• FR: Tom a 6 autocollants. Son ami lui en donne 8 autres. Combien Tom a-t-il d'autocollants maintenant?
• Choices: A) 12 stickers B) 13 stickers C) 14 stickers D) 15 stickers
• Hint: To add two numbers, start with the bigger one and count on — like 8 + 4: start at 8, count 9, 10, 11, 12.
• Steps:
  • Start with the bigger number: 8.
  • Count on 6 more: 9, 10, 11, 12, 13, 14.
  • So 6 + 8 = 14 stickers.
• Answer: 14 stickers

[Medium] Counting to 100

• EN: What number is 10 more than 73?
• FR: Quel nombre est 10 de plus que 73?
• Choices: A) 63 B) 74 C) 82 D) 83
• Hint: Adding 10 always increases the tens digit by 1 — like 10 more than 45 is 55.
• Steps:
  • Look at the tens digit of 73: it is 7.
  • Add 1 to the tens digit: 7 + 1 = 8.
  • So 10 more than 73 is 83.
• Answer: 83

[Hard] Coins at the Snack Stand

• EN: Anya has 1 dime and 2 nickels. How many cents does she have in all?
• FR: Anya a 1 pièce de 10 cents et 2 pièces de 5 cents. Combien de cents a-t-elle en tout?
• Choices: A) 15 cents B) 17 cents C) 20 cents D) 25 cents
• Hint: Add the value of each coin separately, then add the totals together — like 1 dime + 1 nickel = 10 + 5 = 15 cents.
• Steps:
  • A dime = 10 cents; two nickels = 5 + 5 = 10 cents.
  • Add them: 10 + 10 = 20 cents.
  • So Anya has 20 cents in all.
• Answer: 20 cents

[Hard] Number Story

• EN: There are 20 students. 7 go inside for lunch. Then 4 more go inside. How many students are still outside?
• FR: Il y a 20 élèves. 7 entrent pour le dîner. Ensuite, 4 autres entrent. Combien d'élèves sont encore dehors?
• Choices: A) 8 students B) 9 students C) 11 students D) 13 students
• Hint: Subtract each group one at a time — like 15 − 3 − 2 = 10.
• Steps:
  • Start with 20 students.
  • Subtract the first group: 20 − 7 = 13.
  • Subtract the second group: 13 − 4 = 9 students still outside.
• Answer: 9 students

[Easy] Adding Within 100

• EN: What is 34 + 25?
• FR: Combien font 34 + 25?
• Choices: A) 57 B) 58 C) 59 D) 60
• Hint: Add the ones first, then the tens — like 12 + 13: ones are 2 + 3 = 5, tens are 1 + 1 = 2, so 25.
• Steps:
  • Add the ones: 4 + 5 = 9.
  • Add the tens: 30 + 20 = 50.
  • 50 + 9 = 59.
• Answer: 59

[Easy] Telling Time

• EN: The clock shows the hour hand on 3 and the minute hand on 12. What time is it?
• FR: L'horloge montre la grande aiguille sur le 12 et la petite aiguille sur le 3. Quelle heure est-il?
• Choices: A) 12:00 B) 3:00 C) 3:30 D) 6:00
• Hint: When the minute hand points to 12, it is exactly on the hour — like hour hand on 5 means 5:00.
• Steps:
  • The minute hand on 12 means it is exactly on the hour.
  • The hour hand points to 3.
  • So the time is 3:00.
• Answer: 3:00

[Easy] Measuring Length

• EN: A pencil is 15 cm long. A crayon is 9 cm long. How much longer is the pencil?
• FR: Un crayon est long de 15 cm. Un crayon de couleur est long de 9 cm. De combien le crayon est-il plus long?
• Choices: A) 5 cm B) 6 cm C) 7 cm D) 8 cm
• Hint: To find the difference in length, subtract the shorter from the longer — like 12 cm − 7 cm = 5 cm.
• Steps:
  • Subtract the shorter length from the longer: 15 − 9.
  • 15 − 9 = 6.
  • The pencil is 6 cm longer.
• Answer: 6 cm

[Easy] Simple Patterns

• EN: Look at this pattern: 2, 4, 6, 8, __. What comes next?
• FR: Regarde ce modèle : 2, 4, 6, 8, __. Quel nombre vient après?
• Choices: A) 9 B) 10 C) 11 D) 12
• Hint: Find the rule by looking at what is added each time — like 3, 6, 9: adding 3 each time.
• Steps:
  • The pattern adds 2 each time: 2, 4, 6, 8.
  • 8 + 2 = 10.
  • So the next number is 10.
• Answer: 10

[Medium] Subtracting Within 100

• EN: There are 62 books on a shelf. A librarian removes 27. How many books are left?
• FR: Il y a 62 livres sur une étagère. Une bibliothécaire en enlève 27. Combien de livres reste-t-il?
• Choices: A) 34 B) 35 C) 36 D) 37
• Hint: Subtract in parts — like 54 − 18: first subtract 10 to get 44, then subtract 8 to get 36.
• Steps:
  • Subtract the tens: 62 − 20 = 42.
  • Subtract the ones: 42 − 7 = 35.
  • So 62 − 27 = 35 books.
• Answer: 35

[Medium] Telling Time — Half Hour

• EN: The minute hand points to 6 and the hour hand is between 7 and 8. What time is it?
• FR: La grande aiguille pointe vers le 6 et la petite aiguille est entre le 7 et le 8. Quelle heure est-il?
• Choices: A) 6:30 B) 7:00 C) 7:30 D) 8:30
• Hint: When the minute hand is on 6, it is half past the hour — like minute hand on 6 with hour hand between 4 and 5 means 4:30.
• Steps:
  • The minute hand on 6 means 30 minutes past.
  • The hour hand is between 7 and 8, so the hour is 7.
  • The time is 7:30.
• Answer: 7:30

[Medium] Counting Coins

• EN: Maya has 2 dimes, 1 nickel, and 3 pennies. How much money does she have?
• FR: Maya a 2 pièces de 10 cents, 1 pièce de 5 cents et 3 pennies. Combien d'argent a-t-elle?
• Choices: A) 26 cents B) 28 cents C) 30 cents D) 32 cents
• Hint: Count each type of coin, then add all totals — like 1 dime + 2 nickels + 1 penny = 10 + 10 + 1 = 21 cents.
• Steps:
  • 2 dimes = 20 cents; 1 nickel = 5 cents; 3 pennies = 3 cents.
  • Add: 20 + 5 + 3 = 28 cents.
  • So Maya has 28 cents.
• Answer: 28 cents

[Medium] Addition with Regrouping

• EN: What is 47 + 38?
• FR: Combien font 47 + 38?
• Choices: A) 75 B) 83 C) 85 D) 87
• Hint: Add the ones first — if the sum is 10 or more, regroup (carry 1) to the tens — like 8 + 7 = 15, write 5 and carry 1.
• Steps:
  • Add the ones: 7 + 8 = 15; write 5, carry 1.
  • Add the tens: 4 + 3 + 1 (carried) = 8.
  • So 47 + 38 = 85.
• Answer: 85

[Hard] Two-Step Money Problem

• EN: Jake buys a snack for 45 cents. He pays with 2 quarters. How much change does he get back?
• FR: Jake achète une collation pour 45 cents. Il paie avec 2 pièces de 25 cents. Combien de monnaie reçoit-il?
• Choices: A) 4 cents B) 5 cents C) 10 cents D) 15 cents
• Hint: Find the total paid first, then subtract the cost — like paying 50 cents for something worth 35 cents: 50 − 35 = 15 cents change.
• Steps:
  • Two quarters = 25 + 25 = 50 cents paid.
  • Subtract the cost: 50 − 45 = 5 cents.
  • Jake gets 5 cents change.
• Answer: 5 cents

[Hard] Measuring and Comparing

• EN: A table is 80 cm wide. A desk is 55 cm wide. How much wider is the table than the desk?
• FR: Une table a une largeur de 80 cm. Un bureau a une largeur de 55 cm. De combien la table est-elle plus large que le bureau?
• Choices: A) 20 cm B) 25 cm C) 30 cm D) 35 cm
• Hint: Subtract the smaller measurement from the larger — like 70 cm − 40 cm = 30 cm.
• Steps:
  • Subtract: 80 − 55.
  • 80 − 50 = 30; 30 − 5 = 25.
  • The table is 25 cm wider.
• Answer: 25 cm

[Easy] Multiplication by 5

• EN: What is 5 × 6?
• FR: Combien font 5 × 6?
• Choices: A) 25 B) 28 C) 30 D) 35
• Hint: Multiplying by 5 means skip counting by 5s — like 5 × 4 = 5, 10, 15, 20.
• Steps:
  • Skip count by 5s, six times: 5, 10, 15, 20, 25, 30.
  • The 6th number is 30.
  • So 5 × 6 = 30.
• Answer: 30

[Easy] Basic Fractions

• EN: A pizza is cut into 4 equal pieces. Sam eats 1 piece. What fraction did Sam eat?
• FR: Une pizza est coupée en 4 morceaux égaux. Sam mange 1 morceau. Quelle fraction Sam a-t-il mangée?
• Choices: A) 1/2 B) 1/3 C) 1/4 D) 2/4
• Hint: A fraction is parts eaten over total equal parts — like 1 piece out of 3 equal pieces is 1/3.
• Steps:
  • There are 4 equal pieces in total.
  • Sam ate 1 piece.
  • So Sam ate 1/4 of the pizza.
• Answer: 1/4

[Easy] Multiplication by 2

• EN: There are 3 pairs of skates. How many skates are there in total?
• FR: Il y a 3 paires de patins. Combien y a-t-il de patins en tout?
• Choices: A) 4 skates B) 5 skates C) 6 skates D) 8 skates
• Hint: A pair means 2 — multiply the number of pairs by 2, like 4 pairs × 2 = 8.
• Steps:
  • 1 pair = 2 skates.
  • 3 pairs = 3 × 2 = 6 skates.
  • So there are 6 skates in total.
• Answer: 6 skates

[Easy] Perimeter

• EN: A rectangle is 5 cm long and 3 cm wide. What is its perimeter?
• FR: Un rectangle mesure 5 cm de long et 3 cm de large. Quel est son périmètre?
• Choices: A) 8 cm B) 12 cm C) 15 cm D) 16 cm
• Hint: Perimeter = add all four sides — like a rectangle 4 cm × 2 cm: 4 + 2 + 4 + 2 = 12 cm.
• Steps:
  • A rectangle has 2 long sides and 2 wide sides.
  • Add all sides: 5 + 3 + 5 + 3 = 16 cm.
  • So the perimeter is 16 cm.
• Answer: 16 cm

[Medium] Missing Factor

• EN: __ × 5 = 20. What is the missing number?
• FR: __ × 5 = 20. Quel est le nombre manquant?
• Choices: A) 3 B) 4 C) 5 D) 6
• Hint: Think: how many times do you add 5 to reach the total? Like __ × 5 = 15: count 5, 10, 15 — that is 3 times.
• Steps:
  • Ask: what number times 5 equals 20?
  • Count by 5s: 5, 10, 15, 20 — that is 4 steps.
  • So the missing number is 4.
• Answer: 4

[Medium] Division

• EN: 24 apples are shared equally among 4 friends. How many apples does each friend get?
• FR: 24 pommes sont partagées également entre 4 amis. Combien de pommes chaque ami reçoit-il?
• Choices: A) 5 apples B) 6 apples C) 7 apples D) 8 apples
• Hint: Division is sharing equally — like 15 ÷ 3: how many groups of 3 fit in 15? Answer: 5.
• Steps:
  • 24 ÷ 4 = ?
  • Think: 4 × 6 = 24.
  • Each friend gets 6 apples.
• Answer: 6 apples

[Medium] Reading a Graph

• EN: A bar graph shows: Monday = 4 goals, Tuesday = 7 goals, Wednesday = 3 goals. How many goals were scored in total?
• FR: Un diagramme à barres montre : lundi = 4 buts, mardi = 7 buts, mercredi = 3 buts. Combien de buts ont été marqués en tout?
• Choices: A) 11 goals B) 13 goals C) 14 goals D) 15 goals
• Hint: To find the total from a graph, add all the bars together — like 3 + 5 + 6 = 14.
• Steps:
  • Add Monday + Tuesday + Wednesday: 4 + 7 + 3.
  • 4 + 7 = 11; 11 + 3 = 14.
  • 14 goals were scored in total.
• Answer: 14 goals

[Medium] Multiplication by 3

• EN: Each hockey player needs 3 pucks. There are 8 players. How many pucks are needed?
• FR: Chaque joueur de hockey a besoin de 3 rondelles. Il y a 8 joueurs. Combien de rondelles faut-il?
• Choices: A) 21 pucks B) 22 pucks C) 24 pucks D) 27 pucks
• Hint: Multiply the number of players by the number each needs — like 6 players × 3 pucks = 18 pucks.
• Steps:
  • 8 players × 3 pucks each = ?
  • 8 × 3 = 24.
  • So 24 pucks are needed.
• Answer: 24 pucks

[Hard] Fraction of a Group

• EN: There are 12 students. One-third of them have a red toque. How many students have a red toque?
• FR: Il y a 12 élèves. Un tiers d'entre eux ont un tuque rouge. Combien d'élèves ont un tuque rouge?
• Choices: A) 3 students B) 4 students C) 5 students D) 6 students
• Hint: To find one-third of a group, divide the total by 3 — like 1/3 of 9: 9 ÷ 3 = 3.
• Steps:
  • One-third means divide into 3 equal groups.
  • 12 ÷ 3 = 4.
  • So 4 students have a red toque.
• Answer: 4 students

[Hard] Perimeter of an Irregular Shape

• EN: A shape has sides of 4 cm, 6 cm, 4 cm, 3 cm, and 5 cm. What is its perimeter?
• FR: Une forme a des côtés de 4 cm, 6 cm, 4 cm, 3 cm et 5 cm. Quel est son périmètre?
• Choices: A) 20 cm B) 21 cm C) 22 cm D) 23 cm
• Hint: Add all the side lengths together to find the perimeter — like 3 + 5 + 3 + 4 = 15 cm.
• Steps:
  • Add all sides: 4 + 6 + 4 + 3 + 5.
  • 4 + 6 = 10; 10 + 4 = 14; 14 + 3 = 17; 17 + 5 = 22.
  • The perimeter is 22 cm.
• Answer: 22 cm

[Easy] Multiplication Facts

• 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 — like 7 × 7 = 49, so 7 × 8 = 49 + 7 = 56.
• Steps:
  • 7 × 7 = 49.
  • Add one more group of 7: 49 + 7 = 56.
  • So 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) 4 tens
• Hint: After the decimal point, the first digit is tenths and the second is hundredths — like in 5.62, the 6 is in the tenths place.
• Steps:
  • In 3.47, the digits after the decimal are 4 and 7.
  • The first digit after the decimal is in the tenths place.
  • So 4 is in the tenths place — its value is 4 tenths.
• Answer: 4 tenths

[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 the denominators are the same, compare numerators — the bigger numerator means the bigger fraction, like 5/8 > 3/8.
• Steps:
  • Both fractions have the same denominator: 4.
  • Compare numerators: 3 > 1.
  • So 3/4 is the larger fraction.
• Answer: 3/4

[Easy] Area of a Rectangle

• EN: A mat is 6 m long and 4 m wide. What is its area?
• FR: Un tapis mesure 6 m de long et 4 m de large. Quelle est son aire?
• Choices: A) 10 m² B) 20 m² C) 24 m² D) 28 m²
• Hint: Area of a rectangle = length × width — like 5 m × 3 m = 15 m².
• Steps:
  • Area = length × width.
  • 6 × 4 = 24.
  • The area is 24 m².
• Answer: 24 m²

[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) 9 remainder 3 D) 10 remainder 1
• Hint: Find the largest multiple of 5 that fits, then find what is left over — like 38 ÷ 5: 5 × 7 = 35, remainder 3.
• Steps:
  • 5 × 9 = 45, which is the closest multiple of 5 below 47.
  • 47 − 45 = 2.
  • So 47 ÷ 5 = 9 remainder 2.
• Answer: 9 remainder 2

[Medium] Missing Factor Equation

• EN: 36 ÷ __ = 9. What is the missing number?
• FR: 36 ÷ __ = 9. Quel est le nombre manquant?
• Choices: A) 3 B) 4 C) 6 D) 9
• Hint: Think of the related multiplication fact — like 45 ÷ __ = 9 means __ × 9 = 45, so __ = 5.
• Steps:
  • Rewrite as a multiplication: __ × 9 = 36.
  • Ask: what times 9 equals 36? That is 4.
  • So the missing number is 4.
• Answer: 4

[Medium] Elapsed Time

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

[Medium] Table Word Problem

• EN: The table shows snack prices: Muffin = $1.25, Juice = $0.75, Cookie = $0.50. How much does 2 muffins and 1 juice cost in total?
• FR: Le tableau montre les prix des collations : muffin = 1,25 $, jus = 0,75 $, biscuit = 0,50 $. Combien coûtent 2 muffins et 1 jus en tout?
• Choices: A) $2.75 B) $3.00 C) $3.25 D) $3.50
• Hint: Multiply the price by the quantity, then add all items together — like 2 cookies at $0.50 each = $1.00, plus 1 juice at $0.75 = $1.75.
• Steps:
  • 2 muffins = 2 × $1.25 = $2.50.
  • 1 juice = $0.75.
  • Total = $2.50 + $0.75 = $3.25.
• Answer: $3.25

[Hard] Multi-Step Division and Multiplication

• EN: A box holds 9 hockey pucks. A team orders 7 boxes and gives 12 pucks away. How many pucks do they have left?
• FR: Une boîte contient 9 rondelles de hockey. Une équipe commande 7 boîtes et donne 12 rondelles. Combien de rondelles lui reste-t-il?
• Choices: A) 49 pucks B) 51 pucks C) 53 pucks D) 63 pucks
• Hint: First find the total, then subtract — like 6 boxes × 8 pucks = 48; 48 − 10 = 38 pucks remaining.
• Steps:
  • Total pucks: 7 × 9 = 63.
  • Subtract pucks given away: 63 − 12 = 51.
  • The team has 51 pucks left.
• Answer: 51 pucks

[Hard] Decimal Addition

• EN: Priya ran 2.45 km on Monday and 3.60 km on Tuesday. How far did she run in total?
• FR: Priya a couru 2,45 km lundi et 3,60 km mardi. Quelle distance a-t-elle parcourue en tout?
• Choices: A) 5.05 km B) 5.95 km C) 6.05 km D) 6.50 km
• Hint: Line up the decimal points and add column by column — like 1.35 + 2.40 = 3.75.
• Steps:
  • Line up the decimals: 2.45 + 3.60.
  • Add hundredths: 5 + 0 = 5; tenths: 4 + 6 = 10, write 0 carry 1; ones: 2 + 3 + 1 = 6.
  • Total = 6.05 km.
• Answer: 6.05 km

[Easy] Multi-Digit Multiplication

• EN: What is 34 × 6?
• FR: Combien font 34 × 6?
• Choices: A) 184 B) 200 C) 204 D) 240
• Hint: Multiply the ones, then the tens, then add — like 23 × 4: (3 × 4) + (20 × 4) = 12 + 80 = 92.
• Steps:
  • 4 × 6 = 24; write 4, carry 2.
  • 3 × 6 = 18; 18 + 2 = 20.
  • So 34 × 6 = 204.
• Answer: 204

[Easy] Adding Fractions

• 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: With the same denominator, just add the numerators and keep the denominator — like 1/5 + 2/5 = 3/5.
• Steps:
  • The denominators are the same (7), so add the numerators: 2 + 3 = 5.
  • Keep the denominator: 5/7.
  • So 2/7 + 3/7 = 5/7.
• Answer: 5/7

[Easy] Percentage — 50%

• EN: What is 50% of 80?
• FR: Combien font 50 % de 80?
• Choices: A) 30 B) 35 C) 40 D) 45
• Hint: 50% means half — divide by 2, like 50% of 60 = 60 ÷ 2 = 30.
• Steps:
  • 50% = one half.
  • 80 ÷ 2 = 40.
  • So 50% of 80 is 40.
• Answer: 40

[Easy] Volume of a Rectangular Prism

• EN: A box is 4 cm long, 3 cm wide, and 2 cm tall. What is its volume?
• FR: Une boîte mesure 4 cm de long, 3 cm de large et 2 cm de haut. Quel est son volume?
• Choices: A) 18 cm³ B) 20 cm³ C) 24 cm³ D) 28 cm³
• Hint: Volume = length × width × height — like 5 × 2 × 3 = 30 cm³.
• Steps:
  • Volume = 4 × 3 × 2.
  • 4 × 3 = 12; 12 × 2 = 24.
  • The volume is 24 cm³.
• Answer: 24 cm³

[Medium] Multi-Digit Division

• EN: What is 252 ÷ 6?
• FR: Combien font 252 ÷ 6?
• Choices: A) 40 B) 41 C) 42 D) 44
• Hint: Divide from left to right — like 168 ÷ 4: 16 ÷ 4 = 4, bring down 8, 8 ÷ 4 = 2, so 42.
• Steps:
  • Divide 25 ÷ 6 = 4 remainder 1; bring down 2 to get 12.
  • 12 ÷ 6 = 2.
  • So 252 ÷ 6 = 42.
• Answer: 42

[Medium] Missing Factor Equation

• EN: __ × 18 = 108. What is the missing number?
• FR: __ × 18 = 108. Quel est le nombre manquant?
• Choices: A) 5 B) 6 C) 7 D) 8
• Hint: Divide the total by the known factor — like __ × 12 = 60: 60 ÷ 12 = 5.
• Steps:
  • Divide: 108 ÷ 18 = ?
  • 18 × 6 = 108.
  • So the missing number is 6.
• Answer: 6

[Medium] Decimal Operations

• EN: A ribbon is 7.50 m long. Kenji cuts off 2.75 m. How much ribbon is left?
• FR: Un ruban mesure 7,50 m de long. Kenji en coupe 2,75 m. Quelle longueur de ruban reste-t-il?
• Choices: A) 4.25 m B) 4.50 m C) 4.75 m D) 5.25 m
• Hint: Subtract decimals by lining up the decimal points — like 6.80 − 3.45 = 3.35.
• Steps:
  • 7.50 − 2.75: borrow as needed.
  • 50 hundredths − 75 hundredths: borrow 1 tenth, so 150 − 75 = 75 hundredths; tenths: 4 − 7, borrow to get 14 − 7 = 7 tenths; ones: 6 − 2 = 4.
  • So 7.50 − 2.75 = 4.75 m.
• Answer: 4.75 m

[Medium] Table Word Problem

• EN: The table shows: Pens = $1.50 each, Notebooks = $3.25 each, Erasers = $0.75 each. Amara buys 3 pens and 2 erasers. How much does she spend?
• FR: Le tableau montre : stylos = 1,50 $ chacun, cahiers = 3,25 $ chacun, gommes = 0,75 $ chacune. Amara achète 3 stylos et 2 gommes. Combien dépense-t-elle?
• Choices: A) $5.50 B) $6.00 C) $6.25 D) $7.00
• Hint: Multiply each item's price by its quantity, then add — like 2 pens at $1.50 = $3.00, plus 1 eraser at $0.75 = $3.75.
• Steps:
  • 3 pens = 3 × $1.50 = $4.50.
  • 2 erasers = 2 × $0.75 = $1.50.
  • Total = $4.50 + $1.50 = $6.00.
• Answer: $6.00

[Hard] Percentage Problem

• EN: A jacket costs $120. It is on sale for 25% off. What is the sale price?
• FR: Un manteau coûte 120 $. Il est en solde à 25 % de rabais. Quel est le prix de vente?
• Choices: A) $85 B) $88 C) $90 D) $95
• Hint: Find 25% of the price (divide by 4), then subtract from the original — like 25% of $80 = $20, sale price = $60.
• Steps:
  • 25% of $120 = $120 ÷ 4 = $30.
  • Sale price = $120 − $30 = $90.
  • The jacket costs $90 on sale.
• Answer: $90

[Hard] Multi-Step Fraction and Whole Number Problem

• EN: A recipe uses 3/8 cup of sugar. Nadia wants to make 4 batches. How many cups of sugar does she need in total?
• FR: Une recette utilise 3/8 de tasse de sucre. Nadia veut faire 4 recettes. De combien de tasses de sucre a-t-elle besoin en tout?
• Choices: A) 1 cup B) 1 and 1/2 cups C) 1 and 3/4 cups D) 2 cups
• Hint: Multiply the fraction by the whole number — like 4 × 1/3 = 4/3 = 1 and 1/3.
• Steps:
  • 4 × 3/8 = 12/8.
  • Simplify: 12/8 = 1 and 4/8 = 1 and 1/2.
  • Nadia needs 1 and 1/2 cups of sugar.
• Answer: 1 and 1/2 cups

[Easy] Order of Operations (BEDMAS)

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

[Easy] Percent of a Number

• EN: What is 10% of 90?
• FR: Combien font 10 % de 90?
• Choices: A) 8 B) 9 C) 10 D) 19
• Hint: 10% means divide by 10 — like 10% of 70 = 70 ÷ 10 = 7.
• Steps:
  • 10% = divide by 10.
  • 90 ÷ 10 = 9.
  • So 10% of 90 is 9.
• Answer: 9

[Easy] Ratio

• EN: For every 2 cats, there are 5 dogs at the shelter. If there are 4 cats, how many dogs are there?
• FR: Pour chaque 2 chats, il y a 5 chiens au refuge. S'il y a 4 chats, combien y a-t-il de chiens?
• Choices: A) 7 dogs B) 8 dogs C) 10 dogs D) 12 dogs
• Hint: Scale both parts of the ratio by the same factor — like 3:6 scaled by 2 gives 6:12.
• Steps:
  • Cats went from 2 to 4 — that is a scale factor of 2.
  • Multiply dogs: 5 × 2 = 10.
  • So there are 10 dogs.
• Answer: 10 dogs

[Easy] Integer Introduction

• EN: The temperature was −3°C. It dropped 4 more degrees. What is the new temperature?
• FR: La température était de −3 °C. Elle a baissé de 4 degrés de plus. Quelle est la nouvelle température?
• Choices: A) −8°C B) −7°C C) 1°C D) 7°C
• Hint: Moving left on the number line means getting colder — like −2 − 3 = −5.
• Steps:
  • Start at −3.
  • Drop 4: −3 − 4 = −7.
  • The new temperature is −7°C.
• Answer: −7°C

[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) 6/12 D) 2/3
• Hint: Multiply numerators together and denominators together — like 1/2 × 2/3 = 2/6 = 1/3.
• Steps:
  • Multiply numerators: 2 × 3 = 6.
  • Multiply denominators: 3 × 4 = 12.
  • 6/12 = 1/2. So the answer is 1/2.
• Answer: 1/2

[Medium] Simple Algebraic Expression

• EN: Evaluate 4n − 3 when n = 5.
• FR: Évalue 4n − 3 quand n = 5.
• Choices: A) 13 B) 15 C) 17 D) 23
• Hint: Substitute the value in for the variable first — like 3n + 2 when n = 4: 3 × 4 + 2 = 14.
• Steps:
  • Substitute n = 5: 4(5) − 3.
  • 4 × 5 = 20.
  • 20 − 3 = 17.
• Answer: 17

[Medium] Fraction Division

• EN: What is 3/4 ÷ 1/2?
• FR: Combien font 3/4 ÷ 1/2?
• Choices: A) 3/8 B) 1/2 C) 3/2 D) 4/3
• Hint: To divide by a fraction, multiply by its reciprocal — like 2/3 ÷ 1/4 = 2/3 × 4/1 = 8/3.
• Steps:
  • Flip the second fraction: 1/2 becomes 2/1.
  • Multiply: 3/4 × 2/1 = 6/4 = 3/2.
  • So 3/4 ÷ 1/2 = 3/2.
• Answer: 3/2

[Medium] Table Word Problem

• EN: The table shows: Small coffee = $1.80, Medium coffee = $2.30, Large coffee = $2.95. A Tim Hortons order has 2 small coffees and 1 medium coffee. What is the total cost?
• FR: Le tableau montre : petit café = 1,80 $, café moyen = 2,30 $, grand café = 2,95 $. Une commande chez Tim Hortons comprend 2 petits cafés et 1 café moyen. Quel est le coût total?
• Choices: A) $5.50 B) $5.90 C) $6.10 D) $6.35
• Hint: Multiply each item by its quantity, then add — like 2 mediums + 1 large = 2 × $2.30 + $2.95.
• Steps:
  • 2 small coffees = 2 × $1.80 = $3.60.
  • 1 medium coffee = $2.30.
  • Total = $3.60 + $2.30 = $5.90.
• Answer: $5.90

[Hard] BEDMAS with Brackets

• EN: Evaluate: (6 + 2) × 3 − 4 ÷ 2.
• FR: Évalue : (6 + 2) × 3 − 4 ÷ 2.
• Choices: A) 20 B) 22 C) 24 D) 28
• Hint: Follow BEDMAS: Brackets, then multiply/divide left to right, then add/subtract — like (3 + 1) × 2 − 4 ÷ 2 = 4 × 2 − 2 = 8 − 2 = 6.
• Steps:
  • Brackets first: 6 + 2 = 8.
  • Multiply: 8 × 3 = 24.
  • Divide: 4 ÷ 2 = 2; then subtract: 24 − 2 = 22.
• Answer: 22

[Hard] Percent and Rate Problem

• EN: A store is offering 30% off all prices. A hockey stick originally costs $80. What is the sale price?
• FR: Un magasin offre 30 % de rabais sur tous les prix. Un bâton de hockey coûte originalement 80 $. Quel est le prix de vente?
• Choices: A) $50 B) $54 C) $56 D) $60
• Hint: Find the discount amount first, then subtract — like 20% of $60 = $12, sale price = $48.
• Steps:
  • 30% of $80 = 0.30 × 80 = $24.
  • Sale price = $80 − $24 = $56.
  • The hockey stick costs $56 on sale.
• Answer: $56

[Easy] Integer Addition

• EN: What is −8 + 5?
• FR: Combien font −8 + 5?
• Choices: A) −4 B) −3 C) 3 D) 13
• Hint: On a number line, adding a positive means moving right — like −6 + 4: start at −6, move 4 right to reach −2.
• Steps:
  • Start at −8 on the number line.
  • Move 5 spaces to the right.
  • −8 + 5 = −3.
• Answer: −3

[Easy] Percent Discount

• EN: A pair of skates costs $60. There is a 20% discount. How much is the discount?
• FR: Une paire de patins coûte 60 $. Il y a un rabais de 20 %. Combien est le rabais?
• Choices: A) $10 B) $12 C) $14 D) $15
• Hint: Find the percent by multiplying — like 10% of $50 = $5, so 20% = $10.
• Steps:
  • 10% of $60 = $6.
  • 20% = 2 × $6 = $12.
  • The discount is $12.
• Answer: $12

[Easy] One-Step Linear Equation

• EN: Solve for x: x + 9 = 17.
• FR: Résous pour x : x + 9 = 17.
• Choices: A) x = 6 B) x = 7 C) x = 8 D) x = 9
• Hint: To isolate x, subtract the same number from both sides — like x + 5 = 12: x = 12 − 5 = 7.
• Steps:
  • Subtract 9 from both sides: x = 17 − 9.
  • 17 − 9 = 8.
  • So x = 8.
• Answer: x = 8

[Easy] Fraction and Decimal Conversion

• EN: Write 3/5 as a decimal.
• FR: Écris 3/5 sous forme décimale.
• Choices: A) 0.3 B) 0.5 C) 0.6 D) 0.8
• Hint: Divide the numerator by the denominator — like 1/4 = 1 ÷ 4 = 0.25.
• Steps:
  • 3/5 = 3 ÷ 5.
  • 3 ÷ 5 = 0.6.
  • So 3/5 = 0.6.
• Answer: 0.6

[Medium] Integer Multiplication

• EN: What is (−4) × (−7)?
• FR: Combien font (−4) × (−7)?
• Choices: A) −28 B) −11 C) 11 D) 28
• Hint: Negative × negative = positive — like (−3) × (−5) = 15.
• Steps:
  • Multiply the absolute values: 4 × 7 = 28.
  • Both signs are negative, so the result is positive.
  • (−4) × (−7) = 28.
• Answer: 28

[Medium] Surface Area

• EN: Find the surface area of a rectangular box that is 5 cm long, 4 cm wide, and 3 cm tall.
• FR: Trouve l'aire totale d'une boîte rectangulaire mesurant 5 cm de long, 4 cm de large et 3 cm de haut.
• Choices: A) 60 cm² B) 74 cm² C) 80 cm² D) 94 cm²
• Hint: Surface area = 2(lw + lh + wh) — like a box 2 × 3 × 4: 2(6 + 8 + 12) = 2(26) = 52 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 $15.00. Tax is 13%. What is the total cost including tax?
• FR: Un livre coûte 15,00 $. La taxe est de 13 %. Quel est le coût total incluant la taxe?
• Choices: A) $16.75 B) $16.95 C) $17.00 D) $17.25
• Hint: Find the tax amount then add to the original price — like $20 × 13% = $2.60, total = $22.60.
• Steps:
  • Tax = 13% of $15.00 = 0.13 × 15 = $1.95.
  • Total = $15.00 + $1.95 = $16.95.
  • The total cost is $16.95.
• Answer: $16.95

[Medium] Table Problem — Inference

• EN: The table shows: Olivia scores 12 points per game, Ben scores 9 points per game, Carla scores 15 points per game. After 4 games, how many more points does Carla have than Ben?
• FR: Le tableau montre : Olivia marque 12 points par partie, Ben marque 9 points par partie, Carla marque 15 points par partie. Après 4 parties, combien de points de plus Carla a-t-elle par rapport à Ben?
• Choices: A) 18 points B) 20 points C) 24 points D) 26 points
• Hint: Multiply each player's score by the number of games, then find the difference — like 14 points/game vs. 10 points/game over 3 games: (14 − 10) × 3 = 12.
• Steps:
  • Carla after 4 games: 15 × 4 = 60 points.
  • Ben after 4 games: 9 × 4 = 36 points.
  • Difference: 60 − 36 = 24 points.
• Answer: 24 points

[Hard] Probability

• EN: A bag contains 3 red marbles, 5 blue marbles, and 2 green marbles. If you pick one marble without looking, what is the probability of picking a blue marble?
• FR: Un sac contient 3 billes rouges, 5 billes bleues et 2 billes vertes. Si tu en piges une sans regarder, quelle est la probabilité de piger une bille bleue?
• Choices: A) 1/4 B) 1/3 C) 1/2 D) 5/10
• Hint: Probability = favourable outcomes ÷ total outcomes — like 3 red out of 8 total = 3/8.
• Steps:
  • Total marbles: 3 + 5 + 2 = 10.
  • Blue marbles: 5.
  • P(blue) = 5/10 = 1/2.
• Answer: 1/2

[Hard] Multi-Step Percent Problem

• EN: A restaurant bill is $48.00. You want to leave a 15% tip. What is the total amount you pay including the tip?
• FR: Une facture de restaurant est de 48,00 $. Tu veux laisser un pourboire de 15 %. Quel est le montant total que tu paies, pourboire inclus?
• Choices: A) $54.40 B) $55.00 C) $55.20 D) $56.00
• Hint: Find 10% and 5% separately, then add to the original — like 10% of $40 = $4, 5% = $2, tip = $6, total = $46.
• Steps:
  • 10% of $48 = $4.80; 5% = $2.40; tip = $4.80 + $2.40 = $7.20.
  • Total = $48.00 + $7.20 = $55.20.
  • You pay $55.20 in total.
• Answer: $55.20

[Easy] Perfect Squares

• EN: What is the square root of 64?
• FR: Quelle est la racine carrée de 64?
• Choices: A) 6 B) 7 C) 8 D) 9
• Hint: Think: what number times itself equals the given number? Like √49 = 7 because 7 × 7 = 49.
• Steps:
  • Ask: what number times itself equals 64?
  • 8 × 8 = 64.
  • So √64 = 8.
• Answer: 8

[Easy] Mean of a Data Set

• EN: Find the mean of: 4, 8, 6, 10, 2.
• FR: Trouve la moyenne de : 4, 8, 6, 10, 2.
• Choices: A) 5 B) 6 C) 7 D) 8
• Hint: Mean = total sum ÷ number of values — like mean of 3, 5, 7: sum = 15, count = 3, mean = 5.
• Steps:
  • Sum: 4 + 8 + 6 + 10 + 2 = 30.
  • Count: 5 values.
  • Mean = 30 ÷ 5 = 6.
• Answer: 6

[Easy] Two-Step Equation

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

[Easy] Percent Increase

• EN: A shirt was $40. Its price increased by 25%. What is the new price?
• FR: Une chemise coûtait 40 $. Son prix a augmenté de 25 %. Quel est le nouveau prix?
• Choices: A) $45 B) $48 C) $50 D) $55
• Hint: Find the increase amount and add it to the original — like 10% of $60 = $6, new price = $66.
• Steps:
  • 25% of $40 = 0.25 × 40 = $10.
  • New price = $40 + $10 = $50.
  • The new price is $50.
• Answer: $50

[Medium] Pythagorean Theorem

• EN: A right triangle has legs of 6 cm and 8 cm. What is the length of the hypotenuse?
• FR: Un triangle rectangle a des côtés de 6 cm et 8 cm. Quelle est la longueur de l'hypoténuse?
• Choices: A) 9 cm B) 10 cm C) 12 cm D) 14 cm
• Hint: Use a² + b² = c² — like legs 3 and 4: 9 + 16 = 25, so c = √25 = 5.
• Steps:
  • a² + b² = c²: 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, 4) and (6, 12). What is the slope of the line?
• FR: Une droite passe par les points (2, 4) et (6, 12). Quelle est la pente de cette droite?
• Choices: A) 1 B) 2 C) 3 D) 4
• Hint: Slope = (change in y) ÷ (change in x) — like (8 − 2) ÷ (5 − 2) = 6 ÷ 3 = 2.
• Steps:
  • Change in y: 12 − 4 = 8.
  • Change in x: 6 − 2 = 4.
  • Slope = 8 ÷ 4 = 2.
• Answer: 2

[Medium] Median and Mode

• EN: Find the median of: 3, 7, 5, 9, 1.
• FR: Trouve la médiane de : 3, 7, 5, 9, 1.
• Choices: A) 3 B) 5 C) 7 D) 9
• Hint: First sort the numbers in order, then find the middle value — like 2, 4, 6, 8, 10: the middle is 6.
• Steps:
  • Sort in order: 1, 3, 5, 7, 9.
  • The middle value (3rd of 5) is 5.
  • The median is 5.
• Answer: 5

[Medium] Percent Decrease

• EN: A hockey jersey was $90. Its price decreased by 30%. What is the new price?
• FR: Un chandail de hockey coûtait 90 $. Son prix a diminué de 30 %. Quel est le nouveau prix?
• Choices: A) $60 B) $63 C) $65 D) $72
• Hint: Find the decrease amount and subtract — like 20% of $80 = $16, new price = $64.
• Steps:
  • 30% of $90 = 0.30 × 90 = $27.
  • New price = $90 − $27 = $63.
  • The new price is $63.
• Answer: $63

[Hard] Two-Step Equation — Harder

• EN: Solve for x: 5x − 7 = 3x + 9.
• FR: Résous pour x : 5x − 7 = 3x + 9.
• Choices: A) x = 6 B) x = 7 C) x = 8 D) x = 9
• Hint: Move variable terms to one side and constants to the other — like 4x − 3 = 2x + 7: 2x = 10, x = 5.
• Steps:
  • Subtract 3x from both sides: 2x − 7 = 9.
  • Add 7 to both sides: 2x = 16.
  • Divide by 2: x = 8.
• Answer: x = 8

[Hard] Pythagorean Theorem — Applied

• EN: A ramp rises 5 m vertically and extends 12 m horizontally. How long is the ramp itself?
• FR: Une rampe s'élève de 5 m à la verticale et s'étend de 12 m à l'horizontale. Quelle est la longueur de la rampe?
• Choices: A) 11 m B) 12 m C) 13 m D) 17 m
• Hint: The ramp is the hypotenuse — use a² + b² = c², like 8² + 6² = 64 + 36 = 100, c = 10.
• Steps:
  • a = 5, b = 12; a² + b² = 25 + 144 = 169.
  • c = √169 = 13.
  • The ramp is 13 m long.
• Answer: 13 m

[Easy] Solving a Linear Equation

• EN: Solve for x: 3x − 6 = 9.
• FR: Résous pour x : 3x − 6 = 9.
• Choices: A) x = 3 B) x = 4 C) x = 5 D) x = 6
• Hint: Add the constant to both sides first, then divide — like 4x − 8 = 12: 4x = 20, x = 5.
• Steps:
  • Add 6 to both sides: 3x = 15.
  • Divide by 3: x = 5.
  • So x = 5.
• Answer: x = 5

[Easy] Adding Polynomials

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

[Easy] Slope-Intercept Form

• EN: What is the slope of the line y = 4x − 7?
• FR: Quelle est la pente de la droite y = 4x − 7?
• Choices: A) −7 B) 1 C) 4 D) 7
• Hint: In y = mx + b, m is the slope and b is the y-intercept — like in y = 3x + 5, the slope is 3.
• Steps:
  • The equation is in the form y = mx + b.
  • Identify m (the coefficient of x): m = 4.
  • The slope is 4.
• Answer: 4

[Easy] Trigonometry — SOH

• EN: In a right triangle, the opposite side is 3 and the hypotenuse is 5. What is sin(θ)?
• FR: Dans un triangle rectangle, le côté opposé est 3 et l'hypoténuse est 5. Combien vaut sin(θ)?
• Choices: A) 3/4 B) 3/5 C) 4/5 D) 5/3
• Hint: SOH means sin = opposite/hypotenuse — like if opposite = 4 and hypotenuse = 10, sin = 4/10 = 2/5.
• Steps:
  • SOH: sin(θ) = opposite ÷ hypotenuse.
  • sin(θ) = 3 ÷ 5 = 3/5.
  • So sin(θ) = 3/5.
• Answer: 3/5

[Medium] Linear Inequality

• EN: Solve for x: 2x + 5 > 13.
• FR: Résous pour x : 2x + 5 > 13.
• Choices: A) x > 3 B) x > 4 C) x > 5 D) x > 6
• Hint: Solve like an equation, but keep the inequality sign — like 3x − 2 > 10: 3x > 12, x > 4.
• Steps:
  • Subtract 5 from both sides: 2x > 8.
  • Divide by 2: x > 4.
  • So x > 4.
• Answer: x > 4

[Medium] Multiplying Polynomials

• EN: Expand and simplify: (x + 3)(x + 5).
• FR: Développe et simplifie : (x + 3)(x + 5).
• Choices: A) x² + 7x + 15 B) x² + 8x + 15 C) x² + 8x + 8 D) x² + 15x + 8
• Hint: Use FOIL — First, Outer, Inner, Last — like (x + 2)(x + 4) = x² + 4x + 2x + 8 = x² + 6x + 8.
• Steps:
  • First: x × x = x².
  • Outer + Inner: x × 5 + 3 × x = 5x + 3x = 8x.
  • Last: 3 × 5 = 15.
  • Result: x² + 8x + 15.
• Answer: x² + 8x + 15

[Medium] Similar Triangles

• EN: Two triangles are similar. The first has sides 4 cm and 6 cm. The second has a side of 8 cm corresponding to the 4 cm side. What is the side corresponding to 6 cm?
• FR: Deux triangles sont semblables. Le premier a des côtés de 4 cm et 6 cm. Le deuxième a un côté de 8 cm correspondant au côté de 4 cm. Quel est le côté correspondant à 6 cm?
• Choices: A) 10 cm B) 11 cm C) 12 cm D) 14 cm
• Hint: Find the scale factor first, then multiply — like 3 cm scales to 9 cm: factor = 3, so 5 cm becomes 15 cm.
• Steps:
  • Scale factor: 8 ÷ 4 = 2.
  • Corresponding side: 6 × 2 = 12.
  • The side is 12 cm.
• Answer: 12 cm

[Medium] Graphing Lines

• EN: Which point lies on the line y = 2x + 1?
• FR: Quel point se trouve sur la droite y = 2x + 1?
• Choices: A) (1, 2) B) (2, 5) C) (3, 5) D) (4, 7)
• Hint: Substitute the x value into the equation and check if y matches — like for y = 3x − 1, does (2, 5) work? 3(2) − 1 = 5. Yes!
• Steps:
  • Test (2, 5): y = 2(2) + 1 = 4 + 1 = 5. ✓
  • Test (1, 2): y = 2(1) + 1 = 3 ≠ 2.
  • So (2, 5) lies on the line.
• Answer: (2, 5)

[Hard] Trigonometry — Finding a Side

• EN: In a right triangle, one angle is 30° and the hypotenuse is 10 cm. Find the opposite side.
• FR: Dans un triangle rectangle, un angle est de 30° et l'hypoténuse est de 10 cm. Trouve le côté opposé.
• Choices: A) 4 cm B) 5 cm C) 6 cm D) 8 cm
• Hint: Use SOH: opposite = sin(θ) × hypotenuse — like sin(45°) ≈ 0.707, opposite = 0.707 × 8 ≈ 5.66 cm.
• Steps:
  • sin(30°) = 0.5.
  • opposite = sin(30°) × hypotenuse = 0.5 × 10.
  • opposite = 5 cm.
• Answer: 5 cm

[Hard] Systems of Equations (by substitution)

• EN: Solve the system: y = 2x + 1 and y = x + 4. What is x?
• FR: Résous le système : y = 2x + 1 et y = x + 4. Quelle est la valeur de x?
• Choices: A) x = 2 B) x = 3 C) x = 4 D) x = 5
• Hint: Set the two expressions equal and solve — like y = 3x and y = x + 6: 3x = x + 6, 2x = 6, x = 3.
• Steps:
  • Set equal: 2x + 1 = x + 4.
  • Subtract x: x + 1 = 4.
  • Subtract 1: x = 3.
• Answer: x = 3

[Easy] Factoring a Quadratic

• EN: Factor: x² + 7x + 12.
• FR: Factorise : x² + 7x + 12.
• Choices: A) (x + 2)(x + 6) B) (x + 3)(x + 4) C) (x + 1)(x + 12) D) (x + 4)(x + 8)
• Hint: Find two numbers that multiply to the constant and add to the middle coefficient — like x² + 5x + 6: 2 × 3 = 6 and 2 + 3 = 5, so (x + 2)(x + 3).
• Steps:
  • Need two numbers that multiply to 12 and add to 7.
  • 3 × 4 = 12 and 3 + 4 = 7. ✓
  • So x² + 7x + 12 = (x + 3)(x + 4).
• Answer: (x + 3)(x + 4)

[Easy] Trigonometry — Finding an Angle

• EN: In a right triangle, the adjacent side is 4 cm and the hypotenuse is 5 cm. What ratio gives the angle θ?
• FR: Dans un triangle rectangle, le côté adjacent est de 4 cm et l'hypoténuse est de 5 cm. Quel rapport donne l'angle θ?
• Choices: A) sin(θ) = 4/5 B) cos(θ) = 4/5 C) tan(θ) = 4/5 D) tan(θ) = 5/4
• Hint: CAH means cos = adjacent/hypotenuse — like adjacent = 6, hypotenuse = 10, cos(θ) = 6/10 = 3/5.
• Steps:
  • CAH: cos(θ) = adjacent ÷ hypotenuse.
  • cos(θ) = 4 ÷ 5 = 4/5.
  • So the correct ratio is cos(θ) = 4/5.
• Answer: cos(θ) = 4/5

[Easy] Systems of Equations

• EN: Solve the system: x + y = 10 and x − y = 4. What is x?
• FR: Résous le système : x + y = 10 et x − y = 4. Quelle est la valeur de x?
• Choices: A) x = 5 B) x = 6 C) x = 7 D) x = 8
• Hint: Add the two equations to eliminate y — like (x + y) + (x − y) = 10 + 2 gives 2x = 12, x = 6.
• Steps:
  • Add both equations: 2x = 14.
  • x = 7.
  • So x = 7.
• Answer: x = 7

[Easy] Surface Area of a Cylinder

• EN: A cylinder has a radius of 3 cm and a height of 5 cm. Using π ≈ 3.14, what is the approximate lateral surface area?
• FR: Un cylindre a un rayon de 3 cm et une hauteur de 5 cm. En utilisant π ≈ 3,14, quelle est l'aire latérale approximative?
• Choices: A) 47.1 cm² B) 56.52 cm² C) 94.2 cm² D) 113.1 cm²
• Hint: Lateral surface area = 2πrh — like r = 2, h = 4: 2 × 3.14 × 2 × 4 = 50.24 cm².
• Steps:
  • Lateral SA = 2πrh = 2 × 3.14 × 3 × 5.
  • 2 × 3.14 = 6.28; 6.28 × 3 = 18.84; 18.84 × 5 = 94.2.
  • The lateral surface area is 94.2 cm².
• Answer: 94.2 cm²

[Medium] Completing the Square

• EN: Solve by completing the square: x² + 6x = 7.
• FR: Résous en complétant le carré : x² + 6x = 7.
• Choices: A) x = 1 or x = −7 B) x = 2 or x = −8 C) x = 3 or x = −7 D) x = 7 or x = −1
• Hint: Add (b/2)² to both sides to complete the square — like x² + 4x = 5: add 4, (x + 2)² = 9, x + 2 = ±3, x = 1 or x = −5.
• Steps:
  • Add (6/2)² = 9 to both sides: x² + 6x + 9 = 16.
  • (x + 3)² = 16; x + 3 = ±4.
  • x = 1 or x = −7.
• Answer: x = 1 or x = −7

[Medium] Quadratic Formula

• EN: Use the quadratic formula to solve: x² − 5x + 6 = 0.
• FR: Utilise la formule quadratique pour résoudre : x² − 5x + 6 = 0.
• Choices: A) x = 1 or x = 6 B) x = 2 or x = 3 C) x = 3 or x = 4 D) x = 2 or x = 4
• Hint: Factor first when possible — like x² − 7x + 12 = 0 factors as (x − 3)(x − 4) = 0, giving x = 3 or x = 4.
• Steps:
  • Factor: (x − 2)(x − 3) = 0.
  • x − 2 = 0 → x = 2; x − 3 = 0 → x = 3.
  • x = 2 or x = 3.
• Answer: x = 2 or x = 3

[Medium] Circle Geometry

• EN: A circle has a diameter of 14 cm. What is the area using π ≈ 3.14?
• FR: Un cercle a un diamètre de 14 cm. Quelle est son aire en utilisant π ≈ 3,14?
• Choices: A) 43.96 cm² B) 103.87 cm² C) 153.86 cm² D) 196 cm²
• Hint: First find the radius (r = d/2), then use Area = πr² — like diameter = 10, radius = 5, Area = 3.14 × 25 = 78.5 cm².
• Steps:
  • Radius = 14 ÷ 2 = 7 cm.
  • Area = π × 7² = 3.14 × 49.
  • 3.14 × 49 = 153.86 cm².
• Answer: 153.86 cm²

[Medium] Volume of a Cone

• EN: A cone has a base radius of 6 cm and a height of 10 cm. Using π ≈ 3.14, what is its volume?
• FR: Un cône a un rayon de base de 6 cm et une hauteur de 10 cm. En utilisant π ≈ 3,14, quel est son volume?
• Choices: A) 226.08 cm³ B) 376.8 cm³ C) 452.16 cm³ D) 565.2 cm³
• Hint: Volume of a cone = (1/3)πr²h — like r = 3, h = 4: (1/3) × 3.14 × 9 × 4 = 37.68 cm³.
• Steps:
  • V = (1/3) × 3.14 × 6² × 10.
  • 6² = 36; 3.14 × 36 = 113.04; 113.04 × 10 = 1130.4.
  • (1/3) × 1130.4 = 376.8 cm³.
• Answer: 376.8 cm³

[Hard] Systems of Equations — Non-Linear

• EN: Solve the system: y = x² and y = x + 6. What are the x values?
• FR: Résous le système : y = x² et y = x + 6. Quelles sont les valeurs de x?
• Choices: A) x = −2 or x = 3 B) x = 2 or x = 3 C) x = −3 or x = 2 D) x = 1 or x = 6
• Hint: Set the expressions equal: x² = x + 6, rearrange to x² − x − 6 = 0, then factor.
• Steps:
  • Set equal: x² = x + 6 → x² − x − 6 = 0.
  • Factor: (x − 3)(x + 2) = 0.
  • x = 3 or x = −2.
• Answer: x = −2 or x = 3

[Hard] Trigonometry — Sine Rule

• EN: In triangle ABC, angle A = 30°, side a = 5 cm, and angle B = 45°. Using the sine rule, which expression gives side b?
• FR: Dans le triangle ABC, l'angle A = 30°, le côté a = 5 cm et l'angle B = 45°. En utilisant la règle des sinus, quelle expression donne le côté b?
• Choices: A) b = 5 × sin(30°) ÷ sin(45°) B) b = 5 × sin(45°) ÷ sin(30°) C) b = sin(45°) ÷ 5 D) b = 5 ÷ sin(30°) + sin(45°)
• Hint: The sine rule is a/sin(A) = b/sin(B) — rearrange to find b = a × sin(B) ÷ sin(A).
• Steps:
  • Sine rule: a/sin(A) = b/sin(B).
  • Rearrange: b = a × sin(B) ÷ sin(A).
  • b = 5 × sin(45°) ÷ sin(30°).
• Answer: b = 5 × sin(45°) ÷ sin(30°)

[Easy] Exponential Function

• EN: A population doubles every year. If it starts at 50, what is the population after 3 years?
• FR: Une population double chaque année. Si elle commence à 50, quelle est la population après 3 ans?
• Choices: A) 200 B) 300 C) 400 D) 450
• Hint: Use the formula P = P₀ × 2ⁿ — like 20 × 2³ = 20 × 8 = 160.
• Steps:
  • P = 50 × 2³.
  • 2³ = 8.
  • P = 50 × 8 = 400.
• Answer: 400

[Easy] Arithmetic Sequence

• EN: The first term of an arithmetic sequence is 5 and the common difference is 3. What is the 6th term?
• FR: Le premier terme d'une suite arithmétique est 5 et la raison est 3. Quel est le 6e terme?
• Choices: A) 18 B) 20 C) 22 D) 23
• Hint: Use the formula aₙ = a₁ + (n − 1)d — like a₁ = 4, d = 2, a₅ = 4 + 4 × 2 = 12.
• Steps:
  • a₆ = 5 + (6 − 1) × 3 = 5 + 15 = 20.
  • So the 6th term is 20.
  • The answer is 20.
• Answer: 20

[Easy] Logarithm Introduction

• EN: What is log₂(8)?
• FR: Combien vaut log₂(8)?
• Choices: A) 2 B) 3 C) 4 D) 8
• Hint: log_b(x) = n means bⁿ = x — like log₃(9) = 2 because 3² = 9.
• Steps:
  • Ask: 2 to what power equals 8?
  • 2³ = 8.
  • So log₂(8) = 3.
• Answer: 3

[Easy] Compound Interest

• EN: $500 is invested at 4% annual compound interest. What is the amount after 1 year?
• FR: 500 $ sont investis à un taux d'intérêt composé annuel de 4 %. Quel est le montant après 1 an?
• Choices: A) $516 B) $518 C) $520 D) $522
• Hint: After 1 year: A = P × (1 + r) — like $300 at 5%: A = 300 × 1.05 = $315.
• Steps:
  • A = 500 × (1 + 0.04)¹ = 500 × 1.04.
  • 500 × 1.04 = 520.
  • The amount is $520.
• Answer: $520

[Medium] Quadratic Function — Vertex

• EN: What is the vertex of the parabola y = x² − 4x + 7?
• FR: Quel est le sommet de la parabole y = x² − 4x + 7?
• Choices: A) (2, 3) B) (2, 4) C) (3, 4) D) (4, 7)
• Hint: Vertex x-coordinate = −b/(2a) — like y = x² − 6x + 11: x = 6/2 = 3, y = 9 − 18 + 11 = 2, vertex (3, 2).
• Steps:
  • x = −(−4)/(2 × 1) = 4/2 = 2.
  • y = (2)² − 4(2) + 7 = 4 − 8 + 7 = 3.
  • Vertex is (2, 3).
• Answer: (2, 3)

[Medium] Geometric Sequence

• EN: A geometric sequence has a first term of 2 and a common ratio of 3. What is the sum of the first 4 terms?
• FR: Une suite géométrique a un premier terme de 2 et une raison commune de 3. Quelle est la somme des 4 premiers termes?
• Choices: A) 74 B) 78 C) 80 D) 86
• Hint: List the terms and add — like first term 1, ratio 4: 1, 4, 16, 64 — sum = 85.
• Steps:
  • Terms: 2, 6, 18, 54.
  • Sum = 2 + 6 + 18 + 54 = 80.
  • The sum of the first 4 terms is 80.
• Answer: 80

[Medium] Trigonometric Identity

• EN: Simplify: sin²(θ) + cos²(θ).
• FR: Simplifie : sin²(θ) + cos²(θ).
• Choices: A) 0 B) 1 C) 2 D) sin(2θ)
• Hint: This is a fundamental Pythagorean identity — just as 3² + 4² = 5² fits a right triangle, sin² + cos² always equals 1.
• Steps:
  • This is the Pythagorean identity.
  • sin²(θ) + cos²(θ) = 1 always, for any angle θ.
  • The simplified result is 1.
• Answer: 1

[Medium] Compound Interest — Multi-Year

• EN: $1000 is invested at 6% annual compound interest. What is the amount after 2 years?
• FR: 1 000 $ sont investis à un taux d'intérêt composé annuel de 6 %. Quel est le montant après 2 ans?
• Choices: A) $1,100 B) $1,116 C) $1,120 D) $1,123.60
• Hint: Apply the formula twice: A = P(1 + r)ⁿ — like $500 at 5% for 2 years: 500 × 1.05² = 500 × 1.1025 = $551.25.
• Steps:
  • A = 1000 × (1.06)².
  • 1.06² = 1.1236.
  • A = 1000 × 1.1236 = $1,123.60.
• Answer: $1,123.60

[Hard] Logarithm — Solving an Equation

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

[Hard] Annuity Calculation

• EN: Maya deposits $200 at the end of each year for 3 years at 5% annual interest. What is the total future value of this annuity?
• FR: Maya dépose 200 $ à la fin de chaque année pendant 3 ans à un taux d'intérêt annuel de 5 %. Quelle est la valeur future totale de cette rente?
• Choices: A) $620.50 B) $630.50 C) $641.00 D) $662.03
• Hint: Each deposit earns interest for a different number of years — like $100 at 10%: year 1 deposit grows for 2 years = 100 × 1.1² = $121; add them up.
• Steps:
  • Year 1 deposit grows for 2 years: 200 × 1.05² = 200 × 1.1025 = $220.50.
  • Year 2 deposit grows for 1 year: 200 × 1.05 = $210.
  • Year 3 deposit earns no interest: $200. Total = $220.50 + $210 + $200 = $630.50.
• Answer: $630.50

[Easy] Permutations

• EN: How many ways can 4 students line up in a row?
• FR: De combien de façons 4 élèves peuvent-ils se mettre en rang?
• Choices: A) 12 B) 16 C) 24 D) 48
• Hint: The number of ways to arrange n items in a row is n! — like 3 students: 3! = 3 × 2 × 1 = 6 ways.
• Steps:
  • 4 students in a row = 4! = 4 × 3 × 2 × 1.
  • 4 × 3 = 12; 12 × 2 = 24; 24 × 1 = 24.
  • There are 24 ways.
• Answer: 24

[Easy] Polynomial — End Behaviour

• EN: For the polynomial f(x) = −2x³ + 5x − 1, as x → +∞, what happens to f(x)?
• FR: Pour le polynôme f(x) = −2x³ + 5x − 1, quand x → +∞, qu'arrive-t-il à f(x)?
• Choices: A) f(x) → +∞ B) f(x) → −∞ C) f(x) → 0 D) f(x) → 1
• Hint: The leading term decides end behaviour — a negative leading coefficient with odd degree: as x → +∞, f(x) → −∞.
• Steps:
  • The leading term is −2x³.
  • As x → +∞, −2x³ → −∞ (negative coefficient, odd power).
  • So f(x) → −∞.
• Answer: f(x) → −∞

[Easy] Combinations

• EN: How many ways can you choose 2 students from a group of 5?
• FR: De combien de façons peut-on choisir 2 élèves dans un groupe de 5?
• Choices: A) 8 B) 10 C) 15 D) 20
• Hint: Use C(n, r) = n! ÷ (r! × (n − r)!) — like C(4, 2) = 4! ÷ (2! × 2!) = 24 ÷ 4 = 6.
• Steps:
  • C(5, 2) = 5! ÷ (2! × 3!) = 120 ÷ (2 × 6) = 120 ÷ 12 = 10.
  • There are 10 ways to choose 2 from 5.
  • The answer is 10.
• Answer: 10

[Easy] Derivative — Power Rule

• EN: Find the derivative of f(x) = 3x².
• FR: Trouve la dérivée de f(x) = 3x².
• Choices: A) f'(x) = 3x B) f'(x) = 6x C) f'(x) = 6x² D) f'(x) = 9x
• Hint: Power rule: d/dx(axⁿ) = n × axⁿ⁻¹ — like d/dx(4x³) = 3 × 4x² = 12x².
• Steps:
  • Apply the power rule to 3x²: bring down the exponent, reduce it by 1.
  • 2 × 3 = 6; exponent becomes 2 − 1 = 1.
  • f'(x) = 6x.
• Answer: f'(x) = 6x

[Medium] Binomial Probability

• EN: A fair coin is flipped 3 times. What is the probability of getting exactly 2 heads?
• FR: Une pièce équilibrée est lancée 3 fois. Quelle est la probabilité d'obtenir exactement 2 faces?
• Choices: A) 1/8 B) 2/8 C) 3/8 D) 4/8
• Hint: Use C(n, k) × pᵏ × (1−p)ⁿ⁻ᵏ — like C(3, 1) × (0.5)¹ × (0.5)² = 3 × 0.125 = 3/8.
• Steps:
  • P(exactly 2 heads) = C(3, 2) × (0.5)² × (0.5)¹.
  • C(3, 2) = 3; (0.5)³ = 1/8.
  • P = 3 × 1/8 = 3/8.
• Answer: 3/8

[Medium] Rational Function — Vertical Asymptote

• EN: What is the vertical asymptote of the function f(x) = 1/(x − 5)?
• FR: Quelle est l'asymptote verticale de la fonction f(x) = 1/(x − 5)?
• Choices: A) x = −5 B) x = 0 C) x = 1 D) x = 5
• Hint: The vertical asymptote occurs where the denominator equals zero — like 1/(x + 3): denominator = 0 when x = −3.
• Steps:
  • Set the denominator equal to zero: x − 5 = 0.
  • x = 5.
  • The vertical asymptote is at x = 5.
• Answer: x = 5

[Medium] Vectors — Addition

• EN: Vector u = (3, 4) and vector v = (−1, 2). What is u + v?
• FR: Le vecteur u = (3, 4) et le vecteur v = (−1, 2). Combien font u + v?
• Choices: A) (1, 5) B) (2, 6) C) (3, 5) D) (4, 6)
• Hint: Add the corresponding components — like (5, 3) + (2, −1) = (7, 2).
• Steps:
  • Add x-components: 3 + (−1) = 2.
  • Add y-components: 4 + 2 = 6.
  • u + v = (2, 6).
• Answer: (2, 6)

[Medium] Derivative — Rate of Change

• EN: If s(t) = 4t² + 2t represents distance in metres and t is time in seconds, what is the velocity (rate of change) at t = 3?
• FR: Si s(t) = 4t² + 2t représente la distance en mètres et t le temps en secondes, quelle est la vitesse (taux de variation) à t = 3?
• Choices: A) 24 m/s B) 26 m/s C) 28 m/s D) 30 m/s
• Hint: Find the derivative first, then substitute t — like s(t) = 3t² + t: s'(t) = 6t + 1, at t = 2: s'(2) = 13.
• Steps:
  • s'(t) = 8t + 2 (using power rule).
  • Substitute t = 3: s'(3) = 8(3) + 2 = 24 + 2 = 26.
  • The velocity at t = 3 is 26 m/s.
• Answer: 26 m/s

[Hard] Normal Distribution

• EN: In a class, marks are normally distributed with a mean of 70 and a standard deviation of 10. What percentage of students scored between 60 and 80?
• FR: Dans une classe, les notes sont distribuées normalement avec une moyenne de 70 et un écart-type de 10. Quel pourcentage d'élèves a obtenu entre 60 et 80?
• Choices: A) 34% B) 50% C) 68% D) 95%
• Hint: The 68-95-99.7 rule states that about 68% of data falls within 1 standard deviation of the mean — like mean 50, SD 5: about 68% score between 45 and 55.
• Steps:
  • 60 is one SD below the mean (70 − 10 = 60).
  • 80 is one SD above the mean (70 + 10 = 80).
  • By the empirical rule, approximately 68% fall within 1 SD.
• Answer: 68%

[Hard] Permutations with Restrictions

• EN: A password uses 4 different digits from 0–9. How many passwords are possible if the first digit cannot be 0?
• FR: Un mot de passe utilise 4 chiffres différents de 0 à 9. Combien de mots de passe sont possibles si le premier chiffre ne peut pas être 0?
• Choices: A) 3,024 B) 4,536 C) 5,040 D) 6,561
• Hint: Multiply choices for each position — like a 3-digit code, first digit can't be 0: 9 × 9 × 8 = 648.
• Steps:
  • First digit: 9 choices (1–9, not 0).
  • Second digit: 9 choices (0–9 except first digit).
  • Third digit: 8 choices; fourth digit: 7 choices.
  • Total = 9 × 9 × 8 × 7 = 4,536.
• Answer: 4,536