Daily Math — 2026-07-11

[Easy] Counting Carrots

• EN: Mia has 7 carrots. She picks 5 more. How many carrots does she have now?
• FR: Mia a 7 carottes. Elle en cueille 5 de plus. Combien de carottes a-t-elle maintenant?
• Choices: A) 10 carrots B) 11 carrots C) 12 carrots D) 13 carrots
• 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.
  • 7 → 8, 9, 10, 11, 12.
  • So Mia has 12 carrots.
• Answer: 12 carrots

[Easy] Hockey Pucks

• EN: There are 9 hockey pucks on the ice. 4 are taken away. How many are left?
• FR: Il y a 9 rondelles de hockey sur la glace. On en enlève 4. Combien en reste-t-il?
• Choices: A) 3 pucks B) 4 pucks C) 5 pucks D) 6 pucks
• Hint: To subtract, count back — like 8 − 3: start at 8, count back 7, 6, 5.
• Steps:
  • Start at 9 and count back 4.
  • 9 → 8, 7, 6, 5.
  • So 5 pucks are left.
• Answer: 5 pucks

[Easy] Skip Counting by 2s

• EN: Skip count by 2s. What number comes after 8, 10, 12?
• FR: Compte par bonds de 2. Quel nombre vient après 8, 10, 12?
• Choices: A) 13 B) 14 C) 15 D) 16
• Hint: Skip counting by 2s means add 2 each time — like 4, 6, 8 … the next is 10.
• Steps:
  • The pattern is adding 2 each time.
  • 12 + 2 = 14.
  • So the next number is 14.
• Answer: 14

[Easy] Penny Count

• EN: Luca has 3 pennies. How many cents does he have?
• FR: Luca a 3 sous. Combien de cents a-t-il?
• Choices: A) 1 cent B) 2 cents C) 3 cents D) 4 cents
• Hint: Each penny is worth 1 cent — like 5 pennies = 5 cents.
• Steps:
  • Each penny equals 1 cent.
  • 3 pennies = 3 × 1 cent.
  • So Luca has 3 cents.
• Answer: 3 cents

[Medium] Comparing Numbers

• EN: Which number is greater: 14 or 41?
• FR: Quel nombre est plus grand : 14 ou 41?
• Choices: A) 14 B) 41 C) They are equal D) 40
• Hint: Look at the tens digit first — 4 tens is more than 1 ten.
• Steps:
  • 14 has 1 ten and 4 ones.
  • 41 has 4 tens and 1 one.
  • 4 tens is greater than 1 ten, so 41 is greater.
• Answer: 41

[Medium] Tim Hortons Timbits

• EN: There are 6 Timbits in a box. Maya adds 8 more. How many Timbits are there altogether?
• FR: Il y a 6 Timbits dans une boîte. Maya en ajoute 8 de plus. Combien y a-t-il de Timbits en tout?
• Choices: A) 12 Timbits B) 13 Timbits C) 14 Timbits D) 15 Timbits
• Hint: To add two numbers, start with the bigger one and count on — like 9 + 4: start at 9, count 10, 11, 12, 13.
• Steps:
  • Start with 8 (the bigger number) and count on 6.
  • 8 → 9, 10, 11, 12, 13, 14.
  • So there are 14 Timbits altogether.
• Answer: 14 Timbits

[Medium] Skip Counting by 10s

• EN: Skip count by 10s. What is the missing number: 20, 30, ___, 50?
• FR: Compte par bonds de 10. Quel est le nombre manquant : 20, 30, ___, 50?
• Choices: A) 35 B) 38 C) 40 D) 45
• Hint: Skip counting by 10s means add 10 each time — like 10, 20, 30 … the next is 40.
• Steps:
  • Each number in the pattern is 10 more than the last.
  • 30 + 10 = 40.
  • So the missing number is 40.
• Answer: 40

[Medium] Nickels

• EN: Emma has 2 nickels. How many cents does she have?
• FR: Emma a 2 pièces de 5 cents. Combien de cents a-t-elle?
• Choices: A) 2 cents B) 5 cents C) 10 cents D) 15 cents
• Hint: Each nickel is worth 5 cents — like 3 nickels = 15 cents.
• Steps:
  • Each nickel equals 5 cents.
  • 2 nickels = 2 × 5 cents.
  • 2 × 5 = 10.
  • So Emma has 10 cents.
• Answer: 10 cents

[Hard] Subtraction Story

• EN: There are 18 students on the playground. 9 go inside. How many students are still outside?
• FR: Il y a 18 élèves dans la cour. 9 rentrent à l'intérieur. Combien d'élèves sont encore dehors?
• Choices: A) 7 students B) 8 students C) 9 students D) 11 students
• Hint: Subtracting a number from itself gives 0 — like 10 − 10 = 0. Think of 18 − 9 as a fact to memorize.
• Steps:
  • We need to find 18 − 9.
  • Think: 9 + 9 = 18, so 18 − 9 = 9.
  • So 9 students are still outside.
• Answer: 9 students

[Hard] Adding Three Numbers

• EN: A jar has 4 red marbles, 5 blue marbles, and 6 green marbles. How many marbles are there in all?
• FR: Un bocal contient 4 billes rouges, 5 billes bleues et 6 billes vertes. Combien y a-t-il de billes en tout?
• Choices: A) 13 marbles B) 14 marbles C) 15 marbles D) 16 marbles
• Hint: When adding three numbers, add the first two first — like 3 + 4 + 5: first 3 + 4 = 7, then 7 + 5 = 12.
• Steps:
  • Add the first two numbers: 4 + 5 = 9.
  • Then add the third: 9 + 6 = 15.
  • So there are 15 marbles in all.
• Answer: 15 marbles

[Easy] Adding Two-Digit Numbers

• EN: There are 23 apples in a basket. The farmer adds 14 more. How many apples are there now?
• FR: Il y a 23 pommes dans un panier. Le fermier en ajoute 14. Combien y a-t-il de pommes maintenant?
• Choices: A) 35 apples B) 36 apples C) 37 apples D) 38 apples
• Hint: Add the ones first, then the tens — like 31 + 12: ones 1+2=3, tens 3+1=4, answer 43.
• Steps:
  • Ones: 3 + 4 = 7.
  • Tens: 2 + 1 = 3.
  • So there are 37 apples.
• Answer: 37 apples

[Easy] Telling Time

• EN: The clock shows the short hand on 4 and the long hand on 12. What time is it?
• FR: La petite aiguille est sur le 4 et la grande aiguille est sur le 12. Quelle heure est-il?
• Choices: A) 3:00 B) 4:00 C) 5:00 D) 4:30
• Hint: When the long hand points to 12, it is exactly on the hour — like short hand on 7 = 7:00.
• Steps:
  • The long hand on 12 means it is exactly on the hour.
  • The short hand is on 4.
  • So the time is 4:00.
• Answer: 4:00

[Easy] Measuring Length

• EN: A pencil is 15 cm long. A crayon is 9 cm long. How much longer is the pencil than the crayon?
• FR: Un crayon mesure 15 cm de long. Un crayon de couleur mesure 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 lengths, subtract — like 12 cm − 5 cm = 7 cm.
• Steps:
  • Subtract the shorter from the longer: 15 − 9.
  • 15 − 9 = 6.
  • The pencil is 6 cm longer.
• Answer: 6 cm

[Easy] Counting Coins

• EN: Theo has 1 dime and 2 nickels. How many cents does he have?
• FR: Théo a 1 pièce de 10 cents et 2 pièces de 5 cents. Combien de cents a-t-il?
• Choices: A) 15 cents B) 17 cents C) 20 cents D) 25 cents
• Hint: Add coin values — like 1 dime + 1 nickel = 10 + 5 = 15 cents.
• Steps:
  • 1 dime = 10 cents.
  • 2 nickels = 10 cents.
  • 10 + 10 = 20 cents.
• Answer: 20 cents

[Medium] Subtraction with Borrowing

• EN: A box has 62 crayons. Kids use 35. How many crayons are left?
• FR: Une boîte contient 62 crayons. Les enfants en utilisent 35. Combien de crayons reste-t-il?
• Choices: A) 25 crayons B) 27 crayons C) 28 crayons D) 29 crayons
• Hint: Subtract ones first — if you can't, borrow from the tens. Like 51 − 27: borrow to get 11 − 7 = 4, then 4 − 2 = 2, answer 24.
• Steps:
  • Ones: 2 − 5 won't work, so borrow. 12 − 5 = 7.
  • Tens: 5 − 3 = 2.
  • So 27 crayons are left.
• Answer: 27 crayons

[Medium] Telling Time — Half Hour

• EN: The clock shows 2:30. Where is the long hand pointing?
• FR: L'horloge indique 2 h 30. Où pointe la grande aiguille?
• Choices: A) At the 12 B) At the 3 C) At the 6 D) At the 9
• Hint: At half past the hour, the long hand always points to 6 — like 5:30 means the long hand is on the 6.
• Steps:
  • Half past the hour means 30 minutes have passed.
  • The long hand points to 6 at 30 minutes.
  • So at 2:30, the long hand is at the 6.
• Answer: At the 6

[Medium] Simple Patterns

• EN: Look at the pattern: 5, 10, 15, 20, ___. What is the next number?
• FR: Observe la suite : 5, 10, 15, 20, ___. Quel est le prochain nombre?
• Choices: A) 22 B) 23 C) 24 D) 25
• Hint: Find the rule by looking at how much is added each time — like 3, 6, 9, 12 adds 3 each step.
• Steps:
  • Each number increases by 5.
  • 20 + 5 = 25.
  • The next number is 25.
• Answer: 25

[Medium] Adding to $1.00

• EN: Sofia has 45 cents. How many more cents does she need to make $1.00?
• FR: Sofia a 45 cents. Combien de cents de plus lui faut-il pour avoir 1,00 $?
• Choices: A) 45 cents B) 55 cents C) 60 cents D) 65 cents
• Hint: To find how much more is needed to reach 100 cents, subtract — like 100 − 30 = 70 cents.
• Steps:
  • $1.00 = 100 cents.
  • 100 − 45 = 55.
  • Sofia needs 55 more cents.
• Answer: 55 cents

[Hard] Two-Step Problem

• EN: There are 48 students at a school event. 16 leave early. Then 7 more arrive. How many students are there now?
• FR: Il y a 48 élèves à une activité scolaire. 16 partent tôt. Puis 7 autres arrivent. Combien y a-t-il d'élèves maintenant?
• Choices: A) 37 students B) 38 students C) 39 students D) 41 students
• Hint: For two-step problems, solve one step at a time — like 50 − 10 = 40, then 40 + 5 = 45.
• Steps:
  • First, subtract those who left: 48 − 16 = 32.
  • Then add those who arrived: 32 + 7 = 39.
  • So there are 39 students now.
• Answer: 39 students

[Hard] Measuring and Comparing

• EN: A red ribbon is 80 cm long. A blue ribbon is 55 cm long. Together, how long are both ribbons?
• FR: Un ruban rouge mesure 80 cm de long. Un ruban bleu mesure 55 cm. Quelle est la longueur totale des deux rubans?
• Choices: A) 125 cm B) 130 cm C) 135 cm D) 140 cm
• Hint: To find a total length, add the two measurements — like 70 cm + 40 cm = 110 cm.
• Steps:
  • Add the two lengths: 80 + 55.
  • 80 + 55 = 135.
  • Together both ribbons are 135 cm long.
• Answer: 135 cm

[Easy] Multiplication by 2

• EN: There are 6 pairs of mittens in a drawer. How many mittens are there in all?
• FR: Il y a 6 paires de mitaines dans un tiroir. Combien y a-t-il de mitaines en tout?
• Choices: A) 8 mittens B) 10 mittens C) 12 mittens D) 14 mittens
• Hint: Multiply by 2 — like 5 pairs = 5 × 2 = 10 mittens.
• Steps:
  • Each pair has 2 mittens.
  • 6 × 2 = 12.
  • So there are 12 mittens in all.
• Answer: 12 mittens

[Easy] Basic Division

• EN: 20 students are split equally into 4 groups. How many students are in each group?
• FR: 20 élèves sont répartis en 4 groupes égaux. Combien d'élèves y a-t-il dans chaque groupe?
• Choices: A) 4 students B) 5 students C) 6 students D) 8 students
• Hint: Division means sharing equally — like 15 ÷ 3 = 5 because 3 × 5 = 15.
• Steps:
  • We need 20 ÷ 4.
  • Think: 4 × 5 = 20.
  • So each group has 5 students.
• Answer: 5 students

[Easy] Fractions — One Half

• EN: A pizza is cut into 2 equal slices. Jada eats 1 slice. What fraction of the pizza did she eat?
• FR: Une pizza est coupée en 2 parts égales. Jada mange 1 part. Quelle fraction de la pizza a-t-elle mangée?
• Choices: A) 1/4 B) 1/3 C) 1/2 D) 2/3
• Hint: A fraction shows parts out of a whole — like 1 piece out of 4 = 1/4.
• Steps:
  • The pizza has 2 equal parts.
  • Jada ate 1 of the 2 parts.
  • So she ate 1/2 of the pizza.
• Answer: 1/2

[Easy] Multiplication by 5

• EN: A hockey team has 3 players on the ice. Each player scores 5 goals in a season. How many goals is that in total?
• FR: Une équipe de hockey a 3 joueurs sur la glace. Chaque joueur marque 5 buts en saison. Combien de buts cela fait-il en tout?
• Choices: A) 10 goals B) 12 goals C) 15 goals D) 20 goals
• Hint: Use the 5 times table — like 4 × 5 = 20.
• Steps:
  • Multiply 3 × 5.
  • 3 × 5 = 15.
  • So the total is 15 goals.
• Answer: 15 goals

[Medium] Perimeter of a Rectangle

• EN: A garden is 8 m long and 3 m wide. What is the perimeter of the garden?
• FR: Un jardin mesure 8 m de long et 3 m de large. Quel est le périmètre du jardin?
• Choices: A) 11 m B) 16 m C) 22 m D) 24 m
• Hint: Perimeter of a rectangle = add all four sides — like length 5 + 5 + width 2 + 2 = 14.
• Steps:
  • A rectangle has 2 long sides and 2 wide sides.
  • Perimeter = 8 + 8 + 3 + 3.
  • 8 + 8 + 3 + 3 = 22 m.
• Answer: 22 m

[Medium] Reading a Graph

• EN: A bar graph shows that 12 students like hockey, 8 like soccer, and 5 like swimming. How many students were surveyed in total?
• FR: Un diagramme à barres montre que 12 élèves aiment le hockey, 8 aiment le soccer et 5 aiment la natation. Combien d'élèves ont été sondés en tout?
• Choices: A) 20 students B) 23 students C) 25 students D) 27 students
• Hint: To find the total from a graph, add all the values together — like 6 + 4 + 3 = 13.
• Steps:
  • Add the three groups: 12 + 8 + 5.
  • 12 + 8 = 20, then 20 + 5 = 25.
  • So 25 students were surveyed.
• Answer: 25 students

[Medium] Multiplication by 4

• EN: There are 7 tables in the cafeteria. Each table has 4 chairs. How many chairs are there altogether?
• FR: Il y a 7 tables à la cafétéria. Chaque table a 4 chaises. Combien y a-t-il de chaises en tout?
• Choices: A) 24 chairs B) 26 chairs C) 28 chairs D) 32 chairs
• Hint: Use the 4 times table — like 6 × 4 = 24.
• Steps:
  • Multiply 7 × 4.
  • 7 × 4 = 28.
  • So there are 28 chairs altogether.
• Answer: 28 chairs

[Medium] Fractions — One Quarter

• EN: A chocolate bar is divided into 4 equal pieces. Owen eats 1 piece. What fraction of the bar did he eat?
• FR: Une tablette de chocolat est divisée en 4 morceaux égaux. Owen mange 1 morceau. Quelle fraction de la tablette a-t-il mangée?
• Choices: A) 1/2 B) 1/3 C) 1/4 D) 2/4
• Hint: The bottom number (denominator) tells how many equal parts there are — like 1 out of 3 parts = 1/3.
• Steps:
  • The bar is cut into 4 equal parts.
  • Owen ate 1 of those 4 parts.
  • So he ate 1/4 of the bar.
• Answer: 1/4

[Hard] Two-Step Multiplication

• EN: A baker makes 5 trays of muffins. Each tray holds 10 muffins. She sells 18 muffins. How many muffins are left?
• FR: Une boulangère fait 5 plateaux de muffins. Chaque plateau contient 10 muffins. Elle en vend 18. Combien de muffins reste-t-il?
• Choices: A) 28 muffins B) 30 muffins C) 32 muffins D) 35 muffins
• Hint: Solve in two steps — multiply first, then subtract. Like 3 × 10 = 30, then 30 − 8 = 22.
• Steps:
  • First find the total muffins: 5 × 10 = 50.
  • Then subtract those sold: 50 − 18 = 32.
  • So 32 muffins are left.
• Answer: 32 muffins

[Hard] Fraction of a Group

• EN: There are 12 students in a reading group. One quarter of them chose a mystery book. How many students chose a mystery book?
• FR: Il y a 12 élèves dans un groupe de lecture. Un quart d'entre eux ont choisi un livre de mystère. Combien d'élèves ont choisi un livre de mystère?
• Choices: A) 2 students B) 3 students C) 4 students D) 6 students
• Hint: To find 1/4 of a group, divide by 4 — like 1/4 of 8 = 8 ÷ 4 = 2.
• Steps:
  • Find 1/4 of 12.
  • 12 ÷ 4 = 3.
  • So 3 students chose a mystery book.
• Answer: 3 students

[Easy] Multiplication Table

• EN: What is 8 × 7?
• FR: Combien font 8 × 7?
• Choices: A) 48 B) 54 C) 56 D) 63
• Hint: Use a known fact to help — like 8 × 6 = 48, then add one more group of 8.
• Steps:
  • 8 × 6 = 48.
  • Add one more group of 8: 48 + 8 = 56.
  • So 8 × 7 = 56.
• Answer: 56

[Easy] Decimal Place Value

• EN: What is the value of the digit 3 in the number 4.38?
• FR: Quelle est la valeur du chiffre 3 dans le nombre 4,38?
• Choices: A) 3 ones B) 3 tenths C) 3 hundredths D) 30 ones
• Hint: The first digit after the decimal point is in the tenths place — like in 2.57, the 5 is 5 tenths.
• Steps:
  • In 4.38, the digits after the decimal are tenths and hundredths.
  • The 3 is the first digit after the decimal.
  • So 3 is in the tenths place, meaning 3 tenths.
• Answer: 3 tenths

[Easy] Area of a Rectangle

• EN: A bedroom floor is 5 m long and 4 m wide. What is the area of the floor?
• FR: Le plancher d'une chambre mesure 5 m de long et 4 m de large. Quelle est l'aire du plancher?
• Choices: A) 9 m² B) 16 m² C) 18 m² D) 20 m²
• Hint: Area of a rectangle = length × width — like 6 × 3 = 18 m².
• Steps:
  • Area = length × width.
  • Area = 5 × 4 = 20.
  • The area is 20 m².
• Answer: 20 m²

[Easy] Comparing Fractions

• EN: Which fraction is larger: 3/4 or 1/2?
• FR: Quelle fraction est la plus grande : 3/4 ou 1/2?
• Choices: A) 1/2 B) 3/4 C) They are equal D) 1/4
• Hint: Convert to the same denominator to compare — like 1/2 = 2/4, and 3/4 > 2/4.
• Steps:
  • Convert 1/2 to fourths: 1/2 = 2/4.
  • Compare: 3/4 vs. 2/4.
  • 3/4 is larger.
• Answer: 3/4

[Medium] Long Division with Remainder

• EN: A teacher has 29 stickers to share equally among 4 students. How many stickers does each student get?
• FR: Une enseignante a 29 autocollants à partager également entre 4 élèves. Combien d'autocollants chaque élève reçoit-il?
• Choices: A) 6 remainder 5 B) 7 remainder 1 C) 7 remainder 2 D) 8 remainder 1
• Hint: Divide, then find the remainder — like 23 ÷ 4: 4 × 5 = 20, remainder is 23 − 20 = 3, so 5 remainder 3.
• Steps:
  • 4 × 7 = 28, which is the closest multiple of 4 below 29.
  • Remainder: 29 − 28 = 1.
  • So each student gets 7 remainder 1.
• Answer: 7 remainder 1

[Medium] Elapsed Time

• EN: A school hockey game starts at 1:15 PM and ends at 3:00 PM. How long is the game?
• FR: Un match de hockey scolaire commence à 13 h 15 et se termine à 15 h 00. Quelle est la durée du match?
• Choices: A) 1 hour 30 minutes B) 1 hour 45 minutes C) 2 hours D) 2 hours 15 minutes
• Hint: Count up from start to end time — like from 2:20 to 4:00: first 40 min to 3:00, then 1 hour to 4:00 = 1 hour 40 minutes.
• Steps:
  • From 1:15 to 2:00 is 45 minutes.
  • From 2:00 to 3:00 is 60 minutes.
  • Total: 45 + 60 = 105 minutes = 1 hour 45 minutes.
• Answer: 1 hour 45 minutes

[Medium] Decimal Addition

• EN: Aiden buys a ruler for $1.25 and a pencil for $0.75. How much does he spend in total?
• FR: Aiden achète une règle pour 1,25 $ et un crayon pour 0,75 $. Combien dépense-t-il en tout?
• Choices: A) $1.75 B) $1.90 C) $2.00 D) $2.25
• Hint: Line up the decimal points when adding — like $1.40 + $0.60 = $2.00.
• Steps:
  • Add: $1.25 + $0.75.
  • Hundredths: 5 + 5 = 10, carry 1.
  • Tenths: 2 + 7 + 1 = 10, carry 1. Ones: 1 + 0 + 1 = 2. Total = $2.00.
• Answer: $2.00

[Medium] Multiplication — Two-Digit by One-Digit

• EN: A school orders 6 boxes of books. Each box holds 24 books. How many books are ordered in all?
• FR: Une école commande 6 boîtes de livres. Chaque boîte contient 24 livres. Combien de livres sont commandés en tout?
• Choices: A) 120 books B) 130 books C) 140 books D) 144 books
• Hint: Multiply by splitting the two-digit number — like 6 × 23: (6 × 20) + (6 × 3) = 120 + 18 = 138.
• Steps:
  • 6 × 24 = (6 × 20) + (6 × 4).
  • 6 × 20 = 120 and 6 × 4 = 24.
  • 120 + 24 = 144 books.
• Answer: 144 books

[Hard] Multi-Step Word Problem

• EN: Noah has $10.00. He buys a notebook for $3.45 and a pen for $1.80. How much money does he have left?
• FR: Noah a 10,00 $. Il achète un cahier pour 3,45 $ et un stylo pour 1,80 $. Combien d'argent lui reste-t-il?
• Choices: A) $4.25 B) $4.55 C) $4.75 D) $5.25
• Hint: Add what he spent first, then subtract from the total — like $10.00 − ($2.00 + $1.50) = $10.00 − $3.50 = $6.50.
• Steps:
  • Total spent: $3.45 + $1.80 = $5.25.
  • Money left: $10.00 − $5.25 = $4.75.
  • Noah has $4.75 left.
• Answer: $4.75

[Hard] Area and Perimeter Together

• EN: A rectangular park is 9 m long and 6 m wide. What is the difference between the park's area and its perimeter?
• FR: Un parc rectangulaire mesure 9 m de long et 6 m de large. Quelle est la différence entre l'aire et le périmètre du parc?
• Choices: A) 24 B) 24 m C) 24 m² D) 30 m
• Hint: Find area (l × w) and perimeter (2l + 2w) separately, then subtract — like for a 5×3 rectangle: area = 15, perimeter = 16, difference = 1.
• Steps:
  • Area = 9 × 6 = 54 m².
  • Perimeter = 2 × 9 + 2 × 6 = 18 + 12 = 30 m.
  • Difference = 54 − 30 = 24.
• Answer: 24

[Easy] Multi-Digit Multiplication

• EN: A school bus holds 48 students. There are 3 buses. How many students can ride in all?
• FR: Un autobus scolaire peut transporter 48 élèves. Il y a 3 autobus. Combien d'élèves peuvent monter en tout?
• Choices: A) 124 students B) 134 students C) 144 students D) 154 students
• Hint: Multiply by splitting the number — like 3 × 36: (3 × 30) + (3 × 6) = 90 + 18 = 108.
• Steps:
  • 3 × 48 = (3 × 40) + (3 × 8).
  • 3 × 40 = 120 and 3 × 8 = 24.
  • 120 + 24 = 144 students.
• Answer: 144 students

[Easy] Adding Fractions — Like Denominators

• EN: Lily ate 2/8 of a granola bar in the morning and 3/8 after school. How much did she eat in total?
• FR: Lily a mangé 2/8 d'une barre granola le matin et 3/8 après l'école. Quelle fraction a-t-elle mangée en tout?
• Choices: A) 4/8 B) 5/8 C) 5/16 D) 6/8
• Hint: When denominators are the same, just add the numerators — like 1/5 + 2/5 = 3/5.
• Steps:
  • The denominators are both 8, so add the numerators: 2 + 3 = 5.
  • Keep the denominator: 5/8.
  • Lily ate 5/8 of the granola bar.
• Answer: 5/8

[Easy] Decimal Addition

• EN: A bag of apples costs $3.49 and a bag of oranges costs $2.50. What is the total cost?
• FR: Un sac de pommes coûte 3,49 $ et un sac d'oranges coûte 2,50 $. Quel est le coût total?
• Choices: A) $5.89 B) $5.99 C) $6.09 D) $6.19
• Hint: Line up the decimals and add each column — like $4.25 + $1.35 = $5.60.
• Steps:
  • $3.49 + $2.50.
  • Hundredths: 9 + 0 = 9. Tenths: 4 + 5 = 9. Ones: 3 + 2 = 5.
  • Total = $5.99.
• Answer: $5.99

[Easy] 25% of a Number

• EN: There are 40 students in a gym class. 25% of them are wearing red shirts. How many students are wearing red shirts?
• FR: Il y a 40 élèves dans un cours d'éducation physique. 25 % d'entre eux portent des chemises rouges. Combien d'élèves portent des chemises rouges?
• Choices: A) 8 students B) 10 students C) 12 students D) 20 students
• Hint: 25% = 1/4, so divide by 4 — like 25% of 20 = 20 ÷ 4 = 5.
• Steps:
  • 25% means one quarter, so divide by 4.
  • 40 ÷ 4 = 10.
  • So 10 students are wearing red shirts.
• Answer: 10 students

[Medium] Volume of a Rectangular Prism

• EN: A storage box is 5 cm long, 4 cm wide, and 3 cm tall. What is the volume of the box?
• FR: Une boîte de rangement mesure 5 cm de long, 4 cm de large et 3 cm de haut. Quel est le volume de la boîte?
• Choices: A) 48 cm³ B) 54 cm³ C) 60 cm³ D) 75 cm³
• Hint: Volume of a rectangular prism = length × width × height — like 4 × 3 × 2 = 24 cm³.
• Steps:
  • Volume = l × w × h.
  • Volume = 5 × 4 × 3.
  • 5 × 4 = 20, then 20 × 3 = 60 cm³.
• Answer: 60 cm³

[Medium] Subtracting Fractions

• EN: A water bottle holds 7/10 of a litre of juice. Ethan drinks 3/10. How much juice is left?
• FR: Une bouteille d'eau contient 7/10 de litre de jus. Ethan en boit 3/10. Quelle fraction de jus reste-t-il?
• Choices: A) 3/10 B) 4/10 C) 4/20 D) 5/10
• Hint: When denominators match, subtract just the numerators — like 6/9 − 2/9 = 4/9.
• Steps:
  • Denominators are both 10, so subtract numerators: 7 − 3 = 4.
  • Keep the denominator: 4/10.
  • So 4/10 of a litre remains.
• Answer: 4/10

[Medium] Multi-Digit Division

• EN: A farmer packs 156 apples equally into 4 baskets. How many apples are in each basket?
• FR: Un fermier emballe 156 pommes également dans 4 paniers. Combien de pommes y a-t-il dans chaque panier?
• Choices: A) 36 apples B) 38 apples C) 39 apples D) 41 apples
• Hint: Divide step by step — like 148 ÷ 4: 4 goes into 14 three times (12), remainder 2, bring down 8, 4 goes into 28 seven times = 37.
• Steps:
  • 4 goes into 15 three times (12), remainder 3.
  • Bring down 6 to make 36. 4 goes into 36 nine times.
  • So 156 ÷ 4 = 39 apples.
• Answer: 39 apples

[Medium] 50% of a Number

• EN: A Tim Hortons store made $840 on Saturday. On Sunday, they made 50% less. How much did they make on Sunday?
• FR: Un Tim Hortons a fait 840 $ samedi. Dimanche, ils ont fait 50 % de moins. Combien ont-ils fait dimanche?
• Choices: A) $400 B) $420 C) $440 D) $450
• Hint: 50% = half, so divide by 2 — like 50% of $600 = $600 ÷ 2 = $300.
• Steps:
  • 50% means half.
  • $840 ÷ 2 = $420.
  • They made $420 on Sunday.
• Answer: $420

[Hard] Multi-Step with Decimals

• EN: Chloe buys 4 notebooks at $2.75 each and 1 highlighter for $1.50. What is her total cost?
• FR: Chloé achète 4 cahiers à 2,75 $ chacun et 1 surligneur pour 1,50 $. Quel est son coût total?
• Choices: A) $10.50 B) $11.00 C) $12.50 D) $12.75
• Hint: Multiply first, then add — like 3 × $3.25 = $9.75, then $9.75 + $2.00 = $11.75.
• Steps:
  • 4 × $2.75 = $11.00.
  • Add the highlighter: $11.00 + $1.50 = $12.50.
  • Chloe's total cost is $12.50.
• Answer: $12.50

[Hard] Percentage and Fractions Combined

• EN: A hockey team won 18 out of 24 games. What percentage of their games did they win?
• FR: Une équipe de hockey a gagné 18 parties sur 24. Quel pourcentage de leurs parties ont-ils remporté?
• Choices: A) 65% B) 70% C) 72% D) 75%
• Hint: To find a percentage, divide the part by the whole and multiply by 100 — like 12/16 = 0.75 × 100 = 75%.
• Steps:
  • Divide: 18 ÷ 24 = 0.75.
  • Multiply by 100: 0.75 × 100 = 75.
  • The team won 75% of their games.
• Answer: 75%

[Easy] Percent of a Number

• EN: What is 30% of 90?
• FR: Combien vaut 30 % de 90?
• Choices: A) 18 B) 24 C) 27 D) 30
• Hint: Break the percent into parts — like 30% of 60: find 10% (6), then multiply by 3 = 18.
• Steps:
  • 10% of 90 = 9.
  • 30% = 3 × 10%, so 3 × 9 = 27.
  • 30% of 90 is 27.
• Answer: 27

[Easy] Order of Operations (BEDMAS)

• EN: What is 3 + 4 × 2?
• FR: Combien vaut 3 + 4 × 2?
• Choices: A) 10 B) 11 C) 12 D) 14
• Hint: In BEDMAS, multiply before you add — like 5 + 3 × 2 = 5 + 6 = 11.
• Steps:
  • Do multiplication first: 4 × 2 = 8.
  • Then add: 3 + 8 = 11.
  • The answer is 11.
• Answer: 11

[Easy] Ratio

• EN: In a bag of trail mix, there are 4 raisins for every 2 nuts. What is the ratio of raisins to nuts?
• FR: Dans un sac de mélange de randonnée, il y a 4 raisins pour 2 noix. Quel est le rapport des raisins aux noix?
• Choices: A) 1:2 B) 2:1 C) 2:4 D) 4:2
• Hint: A ratio compares two quantities in order — like 3 red to 5 blue = 3:5.
• Steps:
  • The ratio is raisins : nuts.
  • There are 4 raisins and 2 nuts.
  • The ratio is 4:2, which can also be written as 2:1.
• Answer: 4:2

[Easy] Integers — Introduction

• EN: The temperature in Winnipeg is −5°C in the morning. By noon it rises by 8°C. What is the temperature at noon?
• FR: La température à Winnipeg est de −5°C le matin. À midi, elle monte de 8°C. Quelle est la température à midi?
• Choices: A) −3°C B) 2°C C) 3°C D) 13°C
• Hint: Adding a positive to a negative — start at the negative number and count up — like −4 + 6 = 2.
• Steps:
  • Start at −5 and add 8.
  • −5 + 8 = 3.
  • The temperature at noon is 3°C.
• Answer: 3°C

[Medium] Fraction Multiplication

• EN: What is 2/3 × 3/4?
• FR: Combien vaut 2/3 × 3/4?
• Choices: A) 5/7 B) 5/12 C) 6/12 D) 1/2
• Hint: Multiply numerators together and denominators together — like 2/5 × 3/4 = (2×3)/(5×4) = 6/20 = 3/10.
• Steps:
  • Multiply numerators: 2 × 3 = 6.
  • Multiply denominators: 3 × 4 = 12.
  • 6/12 = 1/2.
• Answer: 1/2

[Medium] Rate Problem

• EN: A car travels 180 km in 3 hours. What is its speed in km per hour?
• FR: Une voiture parcourt 180 km en 3 heures. Quelle est sa vitesse en km par heure?
• Choices: A) 55 km/h B) 60 km/h C) 65 km/h D) 70 km/h
• Hint: Speed = distance ÷ time — like 120 km ÷ 2 h = 60 km/h.
• Steps:
  • Speed = 180 km ÷ 3 h.
  • 180 ÷ 3 = 60.
  • The car's speed is 60 km/h.
• Answer: 60 km/h

[Medium] Simple Algebraic Expression

• EN: If n = 5, what is the value of 3n + 4?
• FR: Si n = 5, quelle est la valeur de 3n + 4?
• Choices: A) 17 B) 18 C) 19 D) 22
• Hint: Substitute the value, then multiply before adding — like if n = 3: 2n + 5 = 2(3) + 5 = 6 + 5 = 11.
• Steps:
  • Substitute n = 5: 3(5) + 4.
  • 3 × 5 = 15.
  • 15 + 4 = 19.
• Answer: 19

[Medium] Fraction Division

• EN: How many 1/4-cup servings are in 3 cups of juice?
• FR: Combien de portions de 1/4 de tasse y a-t-il dans 3 tasses de jus?
• Choices: A) 9 servings B) 10 servings C) 12 servings D) 15 servings
• Hint: Dividing by a fraction means multiplying by its reciprocal — like 2 ÷ 1/3 = 2 × 3 = 6.
• Steps:
  • 3 ÷ (1/4) = 3 × 4 = 12.
  • There are 12 servings.
• Answer: 12 servings

[Hard] Multi-Step Percent

• EN: A school store marks up a book from its cost of $12.00 by 25%. What is the selling price?
• FR: La librairie de l'école majore d'un livre dont le coût est de 12,00 $ de 25 %. Quel est le prix de vente?
• Choices: A) $13.00 B) $14.00 C) $15.00 D) $16.00
• Hint: Find the markup amount, then add it to the original price — like a 20% markup on $10 = $2 markup, so $10 + $2 = $12.
• Steps:
  • Find 25% of $12.00: 0.25 × $12.00 = $3.00.
  • Add to cost: $12.00 + $3.00 = $15.00.
  • The selling price is $15.00.
• Answer: $15.00

[Hard] BEDMAS — Complex

• EN: Evaluate: (18 − 6) ÷ 3 + 2 × 5.
• FR: Calcule : (18 − 6) ÷ 3 + 2 × 5.
• Choices: A) 12 B) 14 C) 16 D) 18
• Hint: Use BEDMAS — Brackets first, then Exponents, then Division and Multiplication left to right, then Addition and Subtraction — like (10−4) ÷ 2 + 3 × 2 = 6 ÷ 2 + 6 = 3 + 6 = 9.
• Steps:
  • Brackets first: (18 − 6) = 12.
  • Division: 12 ÷ 3 = 4.
  • Multiplication: 2 × 5 = 10.
  • Addition: 4 + 10 = 14.
• Answer: 14

[Easy] Integer Addition

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

[Easy] Percent Discount

• EN: A hockey jersey costs $60. It is on sale for 20% off. How much is the discount?
• FR: Un chandail de hockey coûte 60 $. Il est en solde à 20 % de rabais. Quel est le montant du rabais?
• Choices: A) $10 B) $12 C) $15 D) $20
• Hint: Find the discount: multiply the price by the percent as a decimal — like 10% off $50 = 0.10 × $50 = $5.
• Steps:
  • Discount = 20% × $60 = 0.20 × 60.
  • 0.20 × 60 = 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: subtract 5 from both sides to get x = 7.
• Steps:
  • Subtract 9 from both sides: x + 9 − 9 = 17 − 9.
  • x = 8.
• Answer: x = 8

[Easy] Fraction and Decimal Conversion

• EN: What is 3/5 written as a decimal?
• FR: Comment écrit-on 3/5 sous forme de décimale?
• Choices: A) 0.35 B) 0.5 C) 0.6 D) 0.65
• 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 vaut (−4) × (−7)?
• Choices: A) −28 B) −11 C) 11 D) 28
• Hint: A negative times a negative = positive — like (−3) × (−5) = 15.
• Steps:
  • Multiply the numbers: 4 × 7 = 28.
  • Both signs are negative, so the product is positive.
  • (−4) × (−7) = 28.
• Answer: 28

[Medium] Percent — Tax

• EN: A book costs $14.00. If the tax is 13%, what is the total cost including tax?
• FR: Un livre coûte 14,00 $. Si la taxe est de 13 %, quel est le coût total avec la taxe?
• Choices: A) $15.62 B) $15.82 C) $16.02 D) $16.22
• Hint: Find the tax amount, then add to the original — like a $20 item with 10% tax: 0.10 × $20 = $2, so total = $22.
• Steps:
  • Tax = 13% × $14.00 = 0.13 × 14 = $1.82.
  • Total = $14.00 + $1.82 = $15.82.
  • The total cost is $15.82.
• Answer: $15.82

[Medium] Surface Area of a Rectangular Prism

• EN: A cereal box is 20 cm tall, 8 cm wide, and 5 cm deep. What is its surface area?
• FR: Une boîte de céréales mesure 20 cm de haut, 8 cm de large et 5 cm de profondeur. Quelle est son aire totale?
• Choices: A) 520 cm² B) 600 cm² C) 640 cm² D) 700 cm²
• Hint: SA = 2(lw + lh + wh) — like for a box 4×3×2: 2(12+8+6) = 2(26) = 52 cm².
• Steps:
  • SA = 2(lw + lh + wh) = 2(8×5 + 20×5 + 20×8).
  • = 2(40 + 100 + 160).
  • = 2(300) = 600 cm².
• Answer: 600 cm²

[Medium] Probability

• EN: A bag has 3 red marbles and 7 blue marbles. What is the probability of picking a red marble?
• FR: Un sac contient 3 billes rouges et 7 billes bleues. Quelle est la probabilité de choisir une bille rouge?
• Choices: A) 3/7 B) 7/10 C) 3/10 D) 1/3
• Hint: Probability = favourable outcomes ÷ total outcomes — like 2 red out of 8 marbles = 2/8 = 1/4.
• Steps:
  • Total marbles = 3 + 7 = 10.
  • Favourable outcomes (red) = 3.
  • Probability = 3/10.
• Answer: 3/10

[Hard] Multi-Step Percent Problem

• EN: Zara buys a coat originally priced at $120. It is on sale for 30% off, then she uses a $5 coupon. How much does she pay?
• FR: Zara achète un manteau au prix initial de 120 $. Il est en solde à 30 % de rabais, puis elle utilise un coupon de 5 $. Combien paie-t-elle?
• Choices: A) $74 B) $76 C) $79 D) $82
• Hint: Apply discounts one at a time — first find the percent off, then subtract the coupon.
• Steps:
  • 30% of $120 = 0.30 × 120 = $36 off.
  • Sale price: $120 − $36 = $84.
  • After coupon: $84 − $5 = $79.
• Answer: $79

[Hard] Integer Division and Order of Operations

• EN: Evaluate: (−24) ÷ 6 + (−3) × 2.
• FR: Calcule : (−24) ÷ 6 + (−3) × 2.
• Choices: A) −14 B) −10 C) −9 D) 10
• Hint: Do division and multiplication before addition — like (−12) ÷ 4 + (−2) × 3 = −3 + (−6) = −9.
• Steps:
  • (−24) ÷ 6 = −4.
  • (−3) × 2 = −6.
  • −4 + (−6) = −10.
• Answer: −10

[Easy] Perfect Squares

• EN: What is √144?
• FR: Combien vaut √144?
• Choices: A) 10 B) 11 C) 12 D) 14
• Hint: Ask yourself: what number times itself equals the number under the root sign? Like √81: 9 × 9 = 81, so √81 = 9.
• Steps:
  • Ask: what number × itself = 144?
  • 12 × 12 = 144.
  • So √144 = 12.
• Answer: 12

[Easy] Mean of a Data Set

• EN: Five students scored 72, 85, 90, 68, and 75 on a math test. What is the mean score?
• FR: Cinq élèves ont obtenu 72, 85, 90, 68 et 75 à un test de mathématiques. Quelle est la moyenne?
• Choices: A) 76 B) 78 C) 80 D) 85
• Hint: Mean = sum of all values ÷ number of values — like for 10, 20, 30: mean = 60 ÷ 3 = 20.
• Steps:
  • Sum = 72 + 85 + 90 + 68 + 75 = 390.
  • Mean = 390 ÷ 5 = 78.
  • The mean score is 78.
• Answer: 78

[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: subtract 2 to get 3x = 12, then divide by 3 to get 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 sweater cost $40 last year. This year it costs $50. What is the percent increase?
• FR: Un chandail coûtait 40 $ l'an dernier. Cette année, il coûte 50 $. Quel est le pourcentage d'augmentation?
• Choices: A) 10% B) 20% C) 25% D) 30%
• Hint: Percent increase = (increase ÷ original) × 100 — like if price goes from $30 to $36: increase = $6, 6/30 × 100 = 20%.
• Steps:
  • Increase = $50 − $40 = $10.
  • Percent increase = ($10 ÷ $40) × 100 = 25%.
  • The percent increase is 25%.
• Answer: 25%

[Medium] Pythagorean Theorem

• EN: A right triangle has legs of 6 cm and 8 cm. What is the length of the hypotenuse?
• FR: Un triangle rectangle a des cathètes de 6 cm et 8 cm. Quelle est la longueur de l'hypoténuse?
• Choices: A) 9 cm B) 10 cm C) 12 cm D) 14 cm
• Hint: Use a² + b² = c² — like for legs 3 and 4: 9 + 16 = 25, so c = √25 = 5.
• Steps:
  • a² + b² = c² → 6² + 8² = c².
  • 36 + 64 = 100.
  • c = √100 = 10 cm.
• Answer: 10 cm

[Medium] Two-Step Equation — Negative Numbers

• EN: Solve for x: 3x − 7 = 14.
• FR: Résous pour x : 3x − 7 = 14.
• Choices: A) x = 5 B) x = 6 C) x = 7 D) x = 9
• Hint: Add the constant to both sides first, then divide — like 4x − 3 = 13: add 3 to get 4x = 16, then x = 4.
• Steps:
  • Add 7 to both sides: 3x = 21.
  • Divide both sides by 3: x = 7.
• Answer: x = 7

[Medium] Slope Introduction

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

[Medium] Median and Mode

• EN: The data set is: 4, 7, 7, 9, 12. What are the median and mode?
• FR: L'ensemble de données est : 4, 7, 7, 9, 12. Quels sont la médiane et le mode?
• Choices: A) median = 7, mode = 7 B) median = 8, mode = 7 C) median = 7, mode = 9 D) median = 9, mode = 7
• Hint: The median is the middle value in ordered data; the mode is the value that appears most often — like 3, 5, 5, 8, 9: median = 5, mode = 5.
• Steps:
  • The data is already in order: 4, 7, 7, 9, 12.
  • Median (middle value): 7.
  • Mode (most frequent): 7 appears twice, so mode = 7.
• Answer: median = 7, mode = 7

[Hard] Pythagorean Theorem — Word Problem

• EN: A 13-metre ladder leans against a wall. The base of the ladder is 5 m from the wall. How high up the wall does the ladder reach?
• FR: Une échelle de 13 m s'appuie contre un mur. La base de l'échelle est à 5 m du mur. À quelle hauteur l'échelle atteint-elle le mur?
• Choices: A) 8 m B) 10 m C) 11 m D) 12 m
• Hint: Use a² + b² = c², where c is the hypotenuse (ladder). Rearrange to find the missing leg: a = √(c² − b²).
• Steps:
  • c² = a² + b² → 13² = a² + 5².
  • 169 = a² + 25.
  • a² = 144, so a = √144 = 12 m.
• Answer: 12 m

[Hard] Two-Step with Fractions

• EN: Solve for x: x/4 + 3 = 8.
• FR: Résous pour x : x/4 + 3 = 8.
• Choices: A) x = 12 B) x = 16 C) x = 20 D) x = 24
• Hint: Subtract the constant first, then multiply both sides by the denominator — like x/3 + 2 = 7: subtract 2 to get x/3 = 5, then x = 15.
• Steps:
  • Subtract 3 from both sides: x/4 = 5.
  • Multiply both sides by 4: x = 20.
• Answer: x = 20

[Easy] Solving a Linear Equation

• EN: Solve for x: 5x − 4 = 21.
• FR: Résous pour x : 5x − 4 = 21.
• Choices: A) x = 4 B) x = 5 C) x = 6 D) x = 7
• Hint: Add the constant to both sides, then divide — like 4x − 3 = 17: add 3 to get 4x = 20, then x = 5.
• Steps:
  • Add 4 to both sides: 5x = 25.
  • Divide both sides by 5: x = 5.
• Answer: x = 5

[Easy] Slope-Intercept Form

• EN: What is the slope of the line y = 3x − 7?
• FR: Quelle est la pente de la droite y = 3x − 7?
• Choices: A) −7 B) 3 C) −3 D) 7
• Hint: In y = mx + b, m is the slope and b is the y-intercept — like in y = 2x + 5, the slope is 2.
• Steps:
  • The equation is in y = mx + b form.
  • m = 3.
  • So the slope is 3.
• Answer: 3

[Easy] Adding Polynomials

• EN: Simplify: (3x + 5) + (2x − 3).
• FR: Simplifie : (3x + 5) + (2x − 3).
• Choices: A) 4x + 2 B) 5x + 2 C) 5x + 8 D) 6x − 2
• Hint: Collect like terms — like (4a + 3) + (2a − 1) = 6a + 2.
• Steps:
  • Combine x terms: 3x + 2x = 5x.
  • Combine constants: 5 + (−3) = 2.
  • Answer: 5x + 2
• Answer: 5x + 2

[Easy] Linear Inequality

• EN: Solve the inequality: x + 4 > 10.
• FR: Résous l'inégalité : x + 4 > 10.
• Choices: A) x > 4 B) x > 5 C) x > 6 D) x > 7
• Hint: Solve like an equation — subtract the same value from both sides — like x + 3 > 8: x > 5.
• Steps:
  • Subtract 4 from both sides: x > 6.
  • The solution is x > 6.
• Answer: x > 6

[Medium] Trigonometry — SOH-CAH-TOA

• EN: In a right triangle, the side opposite a 30° angle is 5 cm and the hypotenuse is 10 cm. What is sin(30°)?
• FR: Dans un triangle rectangle, le côté opposé à un angle de 30° mesure 5 cm et l'hypoténuse est de 10 cm. Combien vaut sin(30°)?
• Choices: A) 0.25 B) 0.5 C) 0.75 D) 1.0
• Hint: SOH means sin = opposite ÷ hypotenuse — like if opposite = 4 and hypotenuse = 8, sin = 4/8 = 0.5.
• Steps:
  • sin(angle) = opposite ÷ hypotenuse.
  • sin(30°) = 5 ÷ 10.
  • sin(30°) = 0.5.
• Answer: 0.5

[Medium] Multiplying Polynomials

• EN: Expand and simplify: 3x(2x − 4).
• FR: Développe et simplifie : 3x(2x − 4).
• Choices: A) 5x² − 12x B) 6x + 12x C) 6x² − 12x D) 6x² + 12
• Hint: Distribute the term outside to each term inside — like 2x(3x + 5) = 6x² + 10x.
• Steps:
  • 3x × 2x = 6x².
  • 3x × (−4) = −12x.
  • Result: 6x² − 12x.
• Answer: 6x² − 12x

[Medium] Similar Triangles

• EN: Two similar triangles have corresponding sides. The small triangle has sides 3 cm and 5 cm. The large triangle has a side of 9 cm corresponding to the 3 cm side. What is the length of the other side of the large triangle?
• FR: Deux triangles semblables ont des côtés correspondants. Le petit triangle a des côtés de 3 cm et 5 cm. Le grand triangle a un côté de 9 cm correspondant au côté de 3 cm. Quelle est la longueur de l'autre côté du grand triangle?
• Choices: A) 12 cm B) 13 cm C) 15 cm D) 18 cm
• Hint: Use the scale factor — find the ratio of corresponding sides, then multiply — like if scale factor is 2 and a side is 7 cm, the new side is 14 cm.
• Steps:
  • Scale factor = 9 ÷ 3 = 3.
  • Corresponding side = 5 × 3 = 15.
  • The other side is 15 cm.
• Answer: 15 cm

[Medium] Systems of Equations — Substitution

• EN: Solve: y = 2x and x + y = 12.
• FR: Résous : y = 2x et x + y = 12.
• Choices: A) x = 3, y = 6 B) x = 4, y = 8 C) x = 5, y = 10 D) x = 6, y = 12
• Hint: Substitute the first equation into the second — like y = 3x and x + y = 8: x + 3x = 8, so 4x = 8, x = 2, y = 6.
• Steps:
  • Substitute y = 2x into x + y = 12: x + 2x = 12.
  • 3x = 12, so x = 4.
  • y = 2(4) = 8.
• Answer: x = 4, y = 8

[Hard] Finding the Equation of a Line

• EN: A line passes through (2, 5) and (6, 13). What is the equation of the line in slope-intercept form?
• FR: Une droite passe par (2, 5) et (6, 13). Quelle est l'équation de la droite sous forme pente-ordonnée à l'origine?
• Choices: A) y = 2x + 1 B) y = 2x + 2 C) y = 3x + 1 D) y = 3x − 1
• Hint: Find slope first: m = (y₂ − y₁)/(x₂ − x₁), then substitute one point into y = mx + b to find b.
• Steps:
  • Slope m = (13 − 5)/(6 − 2) = 8/4 = 2.
  • Use point (2, 5): 5 = 2(2) + b → 5 = 4 + b → b = 1.
  • Equation: y = 2x + 1.
• Answer: y = 2x + 1

[Hard] Trigonometry — Finding a Side

• EN: In a right triangle, the angle is 45° and the hypotenuse is 10 cm. What is the length of the side opposite the 45° angle? (Use sin 45° ≈ 0.707)
• FR: Dans un triangle rectangle, l'angle est de 45° et l'hypoténuse est de 10 cm. Quelle est la longueur du côté opposé à l'angle de 45°? (Utilise sin 45° ≈ 0,707)
• Choices: A) 5.0 cm B) 6.5 cm C) 7.07 cm D) 8.5 cm
• Hint: SOH: sin(angle) = opposite/hypotenuse, so opposite = hypotenuse × sin(angle) — like sin 30° = 0.5, so opposite = 8 × 0.5 = 4 cm.
• Steps:
  • sin(45°) = opposite / hypotenuse.
  • opposite = 10 × sin(45°) = 10 × 0.707.
  • opposite = 7.07 cm.
• Answer: 7.07 cm

[Easy] Factoring Quadratics

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

[Easy] Trigonometry — Finding an Angle

• EN: In a right triangle, the opposite side is 3 and the adjacent side is 4. What is tan(θ)?
• FR: Dans un triangle rectangle, le côté opposé est 3 et le côté adjacent est 4. Combien vaut tan(θ)?
• Choices: A) 4/3 B) 3/5 C) 3/4 D) 4/5
• Hint: TOA: tan = opposite ÷ adjacent — like opposite = 5 and adjacent = 12, then tan = 5/12.
• Steps:
  • tan(θ) = opposite ÷ adjacent.
  • tan(θ) = 3 ÷ 4.
  • tan(θ) = 3/4.
• Answer: 3/4

[Easy] Solving a Quadratic by Factoring

• EN: Solve: x² − 9 = 0.
• FR: Résous : x² − 9 = 0.
• Choices: A) x = 3 only B) x = −3 only C) x = 3 or x = −3 D) x = 9 or x = −9
• Hint: Difference of squares: a² − b² = (a+b)(a−b) — like x² − 16 = 0 gives (x+4)(x−4) = 0, so x = 4 or x = −4.
• Steps:
  • Factor: x² − 9 = (x + 3)(x − 3) = 0.
  • Set each factor to zero: x + 3 = 0 → x = −3; x − 3 = 0 → x = 3.
  • x = 3 or x = −3.
• Answer: x = 3 or x = −3

[Easy] System of Equations

• EN: Solve the system: x + y = 10 and x − y = 4.
• FR: Résous le système : x + y = 10 et x − y = 4.
• Choices: A) x = 6, y = 4 B) x = 7, y = 3 C) x = 5, y = 5 D) x = 8, y = 2
• Hint: Add the two equations together to eliminate one variable — like x + y = 9 and x − y = 3: adding gives 2x = 12, so x = 6, y = 3.
• Steps:
  • Add the equations: (x + y) + (x − y) = 10 + 4 → 2x = 14 → x = 7.
  • Substitute x = 7: 7 + y = 10 → y = 3.
  • x = 7, y = 3.
• Answer: x = 7, y = 3

[Medium] Completing the Square

• EN: Solve by completing the square: x² + 6x − 7 = 0.
• FR: Résous par complétion du carré : x² + 6x − 7 = 0.
• Choices: A) x = 1 or x = −7 B) x = −1 or x = 7 C) x = 2 or x = −8 D) x = 3 or x = −9
• Hint: Move the constant, add (b/2)² to both sides — like x² + 4x = 5: add 4 to get (x+2)² = 9, so x+2 = ±3, x = 1 or x = −5.
• Steps:
  • Move constant: x² + 6x = 7.
  • Add (6/2)² = 9 to both sides: (x+3)² = 16.
  • x + 3 = ±4 → x = 1 or x = −7.
• Answer: x = 1 or x = −7

[Medium] Volume of a Cylinder

• EN: A cylindrical water tank has a radius of 3 m and a height of 5 m. What is its volume? (Use π ≈ 3.14)
• FR: Un réservoir d'eau cylindrique a un rayon de 3 m et une hauteur de 5 m. Quel est son volume? (Utilise π ≈ 3,14)
• Choices: A) 94.2 m³ B) 127.2 m³ C) 141.3 m³ D) 150.6 m³
• Hint: V = πr²h — like a cylinder with r = 2, h = 4: V = 3.14 × 4 × 4 = 50.24 m³.
• Steps:
  • V = πr²h = 3.14 × 3² × 5.
  • 3² = 9; 3.14 × 9 = 28.26.
  • 28.26 × 5 = 141.3 m³.
• Answer: 141.3 m³

[Medium] Circle Geometry — Arc Length

• EN: A circle has a radius of 6 cm. What is the circumference? (Use π ≈ 3.14)
• FR: Un cercle a un rayon de 6 cm. Quelle est sa circonférence? (Utilise π ≈ 3,14)
• Choices: A) 18.84 cm B) 28.26 cm C) 37.68 cm D) 56.52 cm
• Hint: Circumference = 2πr — like r = 5: C = 2 × 3.14 × 5 = 31.4 cm.
• Steps:
  • C = 2πr = 2 × 3.14 × 6.
  • 2 × 3.14 = 6.28.
  • 6.28 × 6 = 37.68 cm.
• Answer: 37.68 cm

[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 = −2 or x = −3 D) x = 3 or x = 4
• Hint: x = (−b ± √(b²−4ac)) / 2a — like for x² − 3x + 2 = 0: discriminant = 9 − 8 = 1, x = (3 ± 1)/2, so x = 2 or x = 1.
• Steps:
  • a = 1, b = −5, c = 6. Discriminant = 25 − 24 = 1.
  • x = (5 ± 1)/2.
  • x = 3 or x = 2.
• Answer: x = 2 or x = 3

[Hard] Trigonometry — Sine Rule

• EN: In a triangle, angle A = 30°, angle B = 45°, and side a = 8 cm. Using the sine rule, what is side b? (Use sin 30° = 0.5, sin 45° ≈ 0.707)
• FR: Dans un triangle, l'angle A = 30°, l'angle B = 45° et le côté a = 8 cm. En utilisant la loi des sinus, combien mesure le côté b? (Utilise sin 30° = 0,5, sin 45° ≈ 0,707)
• Choices: A) 9.8 cm B) 10.5 cm C) 11.3 cm D) 12.5 cm
• Hint: Sine rule: a/sin A = b/sin B — rearrange to b = a × (sin B / sin A).
• Steps:
  • b/sin B = a/sin A.
  • b = 8 × (sin 45° / sin 30°) = 8 × (0.707 / 0.5).
  • b = 8 × 1.414 = 11.3 cm.
• Answer: 11.3 cm

[Hard] System of Equations — Non-Linear

• EN: Solve the system: y = x² and y = x + 6. Find all solutions.
• FR: Résous le système : y = x² et y = x + 6. Trouve toutes les solutions.
• Choices: A) x = 2 or x = −3 B) x = 3 or x = −2 C) x = 6 or x = −1 D) x = 4 or x = −2
• Hint: Substitute one equation into the other, set equal to zero, then factor — like y = x² and y = 2x + 3: x² = 2x + 3, x² − 2x − 3 = 0, (x−3)(x+1) = 0.
• Steps:
  • Set equal: x² = x + 6 → x² − x − 6 = 0.
  • Factor: (x − 3)(x + 2) = 0.
  • x = 3 or x = −2.
• Answer: x = 3 or x = −2

[Easy] Evaluating a Function

• EN: Given f(x) = 4x − 3, find f(5).
• FR: Étant donné f(x) = 4x − 3, calcule f(5).
• Choices: A) 13 B) 17 C) 19 D) 22
• Hint: Substitute the given value for x — like f(2) for f(x) = 3x + 1: f(2) = 3(2) + 1 = 7.
• Steps:
  • Substitute x = 5: f(5) = 4(5) − 3.
  • 4 × 5 = 20.
  • 20 − 3 = 17.
• Answer: 17

[Easy] Logarithm — Basic

• EN: What is log₂(16)?
• FR: Combien vaut log₂(16)?
• Choices: A) 2 B) 3 C) 4 D) 8
• Hint: log_b(x) = n means b^n = x — like log₃(9) = 2 because 3² = 9.
• Steps:
  • Ask: 2 to what power equals 16?
  • 2⁴ = 16.
  • So log₂(16) = 4.
• Answer: 4

[Easy] Arithmetic Sequence

• EN: Find the 10th term of the arithmetic sequence: 3, 7, 11, 15, …
• FR: Trouve le 10e terme de la suite arithmétique : 3, 7, 11, 15, …
• Choices: A) 37 B) 39 C) 41 D) 43
• Hint: Use aₙ = a₁ + (n−1)d — like for 5, 8, 11, …, the 6th term = 5 + 5(3) = 20.
• Steps:
  • a₁ = 3, common difference d = 4.
  • a₁₀ = 3 + (10−1)(4) = 3 + 36 = 39.
  • The 10th term is 39.
• Answer: 39

[Easy] Exponential Function

• EN: A bacteria culture starts with 50 cells and doubles every hour. How many cells are there after 3 hours?
• FR: Une culture bactérienne commence avec 50 cellules et double chaque heure. Combien y a-t-il de cellules après 3 heures?
• Choices: A) 200 cells B) 300 cells C) 400 cells D) 500 cells
• Hint: Multiply by the growth factor for each period — like 100 cells doubling for 2 hours: 100 × 2 × 2 = 400.
• Steps:
  • After 1 hour: 50 × 2 = 100.
  • After 2 hours: 100 × 2 = 200.
  • After 3 hours: 200 × 2 = 400 cells.
• Answer: 400 cells

[Medium] Compound Interest

• EN: Priya invests $1,000 in a savings account at 4% annual interest, compounded annually. What is the balance after 2 years?
• FR: Priya place 1 000 $ dans un compte d'épargne à 4 % d'intérêt annuel composé annuellement. Quel est le solde après 2 ans?
• Choices: A) $1,080.00 B) $1,081.60 C) $1,085.00 D) $1,090.00
• Hint: Use A = P(1 + r)^n — like $500 at 5% for 2 years: A = 500(1.05)² = 500(1.1025) = $551.25.
• Steps:
  • A = P(1 + r)^n = 1000(1.04)².
  • (1.04)² = 1.0816.
  • A = 1000 × 1.0816 = $1,081.60.
• Answer: $1,081.60

[Medium] Trigonometric Identity

• EN: Which identity is always true?
• FR: Quelle identité est toujours vraie?
• Choices: A) sin²θ + cos²θ = 2 B) sin²θ − cos²θ = 1 C) sin²θ + cos²θ = 1 D) sinθ × cosθ = 1
• Hint: The Pythagorean identity relates sin and cos on the unit circle — think of the unit circle where x² + y² = 1.
• Steps:
  • On the unit circle, a point is (cosθ, sinθ).
  • Since x² + y² = 1 on the unit circle: cos²θ + sin²θ = 1.
  • So sin²θ + cos²θ = 1.
• Answer: sin²θ + cos²θ = 1

[Medium] Geometric Series Sum

• EN: Find the sum of the first 5 terms of the geometric series: 2, 6, 18, 54, …
• FR: Calcule la somme des 5 premiers termes de la suite géométrique : 2, 6, 18, 54, …
• Choices: A) 182 B) 212 C) 242 D) 272
• Hint: S_n = a(r^n − 1)/(r − 1) — like for 1, 2, 4, 8: S₄ = 1(2⁴ − 1)/(2−1) = 15.
• Steps:
  • a = 2, r = 3, n = 5.
  • S₅ = 2(3⁵ − 1)/(3 − 1) = 2(243 − 1)/2 = 242.
  • The sum is 242.
• Answer: 242

[Medium] Financial Math — Annuity

• EN: Kenji deposits $200 at the end of each year into an account earning 5% annual interest. What is the total amount after 3 years?
• FR: Kenji dépose 200 $ à la fin de chaque année dans un compte à 5 % d'intérêt annuel. Quel est le montant total après 3 ans?
• Choices: A) $620.50 B) $630.50 C) $641.00 D) $660.00
• Hint: For an ordinary annuity, calculate each deposit with its own interest period and add them — the last deposit earns no interest, the second earns one year, the first earns two years.
• Steps:
  • Year 1 deposit after 2 years: $200 × (1.05)² = $220.50.
  • Year 2 deposit after 1 year: $200 × 1.05 = $210.00.
  • Year 3 deposit: $200. Total = $220.50 + $210.00 + $200 = $630.50.
• Answer: $630.50

[Hard] Logarithmic Equation

• EN: Solve for x: log₃(x) + log₃(x − 2) = 1.
• FR: Résous pour x : log₃(x) + log₃(x − 2) = 1.
• Choices: A) x = 2 B) x = 3 C) x = 4 D) x = 6
• Hint: Use the product rule: logₐ(m) + logₐ(n) = logₐ(mn), then convert to exponential form — like log₂(x) + log₂(x+2) = 3 means x(x+2) = 8.
• Steps:
  • Combine: log₃(x(x−2)) = 1.
  • Convert: x(x−2) = 3¹ = 3.
  • x² − 2x − 3 = 0 → (x−3)(x+1) = 0. Since x must be positive: x = 3.
• Answer: x = 3

[Hard] Sequences and Series — Financial Application

• EN: A hockey player earns $80,000 in their first year. Each year, their salary increases by 10%. What is the total amount earned over 3 years?
• FR: Un hockeyeur gagne 80 000 $ la première année. Chaque année, son salaire augmente de 10 %. Quel est le montant total gagné sur 3 ans?
• Choices: A) $256,000 B) $264,800 C) $271,200 D) $288,000
• Hint: Find each year's salary and add them — Year 1 = a, Year 2 = a × 1.1, Year 3 = a × 1.1².
• Steps:
  • Year 1: $80,000. Year 2: $80,000 × 1.1 = $88,000. Year 3: $88,000 × 1.1 = $96,800.
  • Total = $80,000 + $88,000 + $96,800.
  • Total = $264,800.
• Answer: $264,800

[Easy] Permutations

• EN: In how many ways can 4 students be arranged in a row of 4 seats?
• FR: De combien de façons peut-on placer 4 élèves dans une rangée de 4 sièges?
• Choices: A) 8 B) 16 C) 24 D) 48
• Hint: Count down and multiply — like arranging 3 items: 3 × 2 × 1 = 6 ways.
• Steps:
  • 4 choices for seat 1, 3 for seat 2, 2 for seat 3, 1 for seat 4.
  • 4 × 3 × 2 × 1 = 24.
  • There are 24 ways.
• Answer: 24

[Easy] Derivative — Power Rule

• EN: What is the derivative of f(x) = x³?
• FR: Quelle est la dérivée de f(x) = x³?
• Choices: A) x² B) 2x² C) 3x² D) 3x³
• Hint: Power rule: bring the exponent down and reduce it by 1 — like d/dx(x⁵) = 5x⁴.
• Steps:
  • Bring the exponent down: 3.
  • Reduce the exponent by 1: x^(3−1) = x².
  • f'(x) = 3x².
• Answer: 3x²

[Easy] Combinations

• EN: How many ways can a teacher choose 2 students from a group of 5 to represent the class?
• FR: De combien de façons un enseignant peut-il choisir 2 élèves parmi un groupe de 5 pour représenter la classe?
• Choices: A) 8 B) 10 C) 15 D) 20
• Hint: Use C(n,r) = n! / (r!(n−r)!) — like C(4,2) = 4!/(2!×2!) = 6.
• Steps:
  • C(5,2) = 5! / (2! × 3!).
  • = (5 × 4) / (2 × 1) = 20/2 = 10.
  • There are 10 ways.
• Answer: 10

[Easy] Rational Function — Domain

• EN: What value of x is NOT in the domain of f(x) = 1/(x − 3)?
• FR: Quelle valeur de x n'est PAS dans le domaine de f(x) = 1/(x − 3)?
• Choices: A) x = 0 B) x = 1 C) x = 3 D) x = −3
• Hint: A fraction is undefined when its denominator equals zero — like 1/(x+2) is undefined when x+2 = 0, so x = −2.
• Steps:
  • Set the denominator equal to zero: x − 3 = 0.
  • x = 3.
  • So x = 3 is not in the domain.
• Answer: x = 3

[Medium] Derivative — Rate of Change

• EN: The position of a skater is given by s(t) = 2t² + 3t. What is the skater's velocity (rate of change) at t = 4 seconds?
• FR: La position d'un patineur est donnée par s(t) = 2t² + 3t. Quelle est la vitesse du patineur (taux de variation) à t = 4 secondes?
• Choices: A) 16 m/s B) 17 m/s C) 18 m/s D) 19 m/s
• Hint: Differentiate using the power rule, then substitute t — like s(t) = 3t² + 2t → s'(t) = 6t + 2; at t = 1, s'(1) = 8.
• Steps:
  • s'(t) = 4t + 3.
  • At t = 4: s'(4) = 4(4) + 3 = 16 + 3 = 19.
  • The velocity is 19 m/s.
• Answer: 19 m/s

[Medium] Probability Distribution

• EN: A fair six-sided die is rolled. Let X be the outcome. What is the expected value E(X)?
• FR: On lance un dé équilibré à six faces. Soit X le résultat. Quelle est la valeur espérée E(X)?
• Choices: A) 3.0 B) 3.5 C) 4.0 D) 4.5
• Hint: E(X) = Σ(x × P(x)) — for a fair die, each outcome has probability 1/6; add all (outcome × 1/6).
• Steps:
  • E(X) = (1+2+3+4+5+6) × (1/6).
  • Sum = 21.
  • E(X) = 21/6 = 3.5.
• Answer: 3.5

[Medium] Vector Addition

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

[Medium] Polynomial Division

• EN: What is (x² + 5x + 6) ÷ (x + 2)?
• FR: Combien vaut (x² + 5x + 6) ÷ (x + 2)?
• Choices: A) x + 2 B) x + 3 C) x + 4 D) x + 5
• Hint: Factor the numerator and cancel the common factor — like (x² + 6x + 8) ÷ (x + 4) = (x+4)(x+2)/(x+4) = 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.
  • The result is x + 3.
• Answer: x + 3

[Hard] Binomial Theorem

• EN: What is the coefficient of x² in the expansion of (x + 2)⁴?
• FR: Quel est le coefficient de x² dans le développement de (x + 2)⁴?
• Choices: A) 16 B) 24 C) 32 D) 48
• Hint: Use C(n,k) × a^(n−k) × b^k for each term — like in (x+1)³, the x¹ term is C(3,2)×x¹×1² = 3x.
• Steps:
  • The x² term uses k = 2: C(4,2) × x² × 2².
  • C(4,2) = 6. 2² = 4.
  • Coefficient = 6 × 4 = 24.
• Answer: 24

[Hard] Conditional Probability

• EN: In a class, 60% of students passed math and 40% passed both math and science. Given that a student passed math, what is the probability they also passed science?
• FR: Dans une classe, 60 % des élèves ont réussi en mathématiques et 40 % ont réussi en mathématiques et en sciences. Sachant qu'un élève a réussi en mathématiques, quelle est la probabilité qu'il ait aussi réussi en sciences?
• Choices: A) 1/4 B) 1/3 C) 2/3 D) 3/4
• Hint: P(A|B) = P(A and B) / P(B) — like if P(A and B) = 0.3 and P(B) = 0.6, then P(A|B) = 0.5.
• Steps:
  • P(math and science) = 0.40. P(math) = 0.60.
  • P(science | math) = 0.40 / 0.60 = 2/3.
  • The probability is 2/3.
• Answer: 2/3