Daily Math — 2026-07-26

[Easy] Counting Carrots

• EN: Maya has 7 carrots. She picks 5 more. How many carrots does she have now?
• FR: Maya 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, start at the bigger number and count up — try 3 + 4: start at 4, count up 3 more.
• Steps:
  • Start at 7.
  • Count up 5 more: 8, 9, 10, 11, 12.
  • So Maya has 12 carrots.
• Answer: 12 carrots

[Easy] Snowflakes on a Mitten

• EN: There are 9 snowflakes on a mitten. 3 blow away. How many are left?
• FR: Il y a 9 flocons de neige sur une mitaine. 3 s'envolent. Combien en reste-t-il?
• Choices: A) 5 snowflakes B) 6 snowflakes C) 7 snowflakes D) 8 snowflakes
• Hint: To subtract, count back from the bigger number — try 8 − 3: start at 8, count back 3.
• Steps:
  • Start at 9.
  • Count back 3: 8, 7, 6.
  • So 6 snowflakes are left.
• Answer: 6 snowflakes

[Easy] Skip Counting by 5s

• EN: Skip count by 5s. What number comes after 15?
• FR: Compte par bonds de 5. Quel nombre vient après 15?
• Choices: A) 16 B) 18 C) 20 D) 25
• Hint: When skip counting by 5s, always add 5 to the last number — try 10, then add 5.
• Steps:
  • The pattern is 5, 10, 15, …
  • Add 5 to 15: 15 + 5 = 20.
  • So the next number is 20.
• Answer: 20

[Easy] Penny Count

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

[Medium] Hockey Cards

• EN: Zoe has 13 hockey cards. She gives 6 to her friend. How many does she have left?
• FR: Zoé a 13 cartes de hockey. Elle en donne 6 à son ami. Combien lui en reste-t-il?
• Choices: A) 5 cards B) 6 cards C) 7 cards D) 8 cards
• Hint: Count back from the bigger number — try 11 − 4: start at 11, count back 4.
• Steps:
  • Start at 13.
  • Count back 6: 12, 11, 10, 9, 8, 7.
  • So Zoe has 7 cards left.
• Answer: 7 cards

[Medium] Comparing Numbers

• EN: Which number is greater: 14 or 19?
• FR: Quel nombre est plus grand: 14 ou 19?
• Choices: A) 11 B) 14 C) 19 D) 41
• Hint: Look at the tens digit first — the number with more tens is greater.
• Steps:
  • Both numbers have 1 ten.
  • Compare the ones: 4 ones vs. 9 ones.
  • 9 ones is more, so 19 is greater.
• Answer: 19

[Medium] Skip Counting by 2s

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

[Medium] Nickels

• EN: Sam has 3 nickels. How many cents does he have in total?
• FR: Sam a 3 pièces de 5 cents. Combien de cents a-t-il en tout?
• Choices: A) 10 cents B) 12 cents C) 15 cents D) 20 cents
• Hint: Each nickel is worth 5 cents — try 2 nickels: 5 + 5 = 10 cents.
• Steps:
  • Each nickel = 5 cents.
  • Count by 5s: 5, 10, 15.
  • So 3 nickels = 15 cents.
• Answer: 15 cents

[Hard] Number Story

• EN: There are 8 red apples and 7 green apples in a basket. A teacher takes 5 apples. How many apples are left?
• FR: Il y a 8 pommes rouges et 7 pommes vertes dans un panier. Une enseignante prend 5 pommes. Combien de pommes reste-t-il?
• Choices: A) 9 apples B) 10 apples C) 11 apples D) 12 apples
• Hint: First add the two groups together, then subtract — try 6 + 4 = 10, then 10 − 3 = 7.
• Steps:
  • Add: 8 + 7 = 15 apples in total.
  • Subtract: 15 − 5 = 10 apples.
  • So 10 apples are left.
• Answer: 10 apples

[Hard] Counting to 100

• EN: What number is 10 more than 78?
• FR: Quel nombre est 10 de plus que 78?
• Choices: A) 68 B) 79 C) 88 D) 98
• Hint: Adding 10 changes the tens digit by 1 — try 45 + 10 = 55.
• Steps:
  • Start at 78.
  • Add 10: the tens digit goes from 7 to 8.
  • So 78 + 10 = 88.
• Answer: 88

[Easy] Adding at the Market

• EN: There are 24 apples and 13 oranges at the market. How many pieces of fruit are there in all?
• FR: Il y a 24 pommes et 13 oranges au marché. Combien y a-t-il de fruits en tout?
• Choices: A) 35 pieces B) 37 pieces C) 38 pieces D) 39 pieces
• Hint: Add the ones first, then the tens — try 32 + 15: ones 2+5=7, tens 3+1=4, answer 47.
• Steps:
  • Ones: 4 + 3 = 7.
  • Tens: 20 + 10 = 30.
  • Total: 30 + 7 = 37 pieces.
• Answer: 37 pieces

[Easy] Telling Time

• EN: The clock shows the short hand on 3 and the long hand on 12. What time is it?
• FR: L'horloge montre la petite aiguille sur 3 et la grande aiguille sur 12. Quelle heure est-il?
• Choices: A) 2:00 B) 3:00 C) 3:30 D) 12:00
• Hint: When the long hand points to 12, it is exactly on the hour — try the short hand on 5: it would be 5:00.
• Steps:
  • Long hand on 12 means it is exactly on the hour.
  • Short hand on 3 means the hour is 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 mesure 15 cm de long. Un crayon de cire mesure 9 cm de long. De combien le crayon est-il plus long?
• Choices: A) 4 cm B) 5 cm C) 6 cm D) 7 cm
• Hint: Subtract to find the difference — try 12 − 7 = 5.
• Steps:
  • Subtract: 15 − 9 = 6.
  • The pencil is 6 cm longer.
• Answer: 6 cm

[Easy] Subtracting Numbers

• EN: There are 56 students at school. 32 go home for lunch. How many students stay?
• FR: Il y a 56 élèves à l'école. 32 rentrent chez eux pour le dîner. Combien d'élèves restent?
• Choices: A) 14 B) 22 C) 24 D) 26
• Hint: Subtract the ones first, then the tens — try 47 − 23: ones 7−3=4, tens 4−2=2, answer 24.
• Steps:
  • Ones: 6 − 2 = 4.
  • Tens: 50 − 30 = 20.
  • Total: 20 + 4 = 24 students.
• Answer: 24

[Medium] Counting Coins

• EN: Priya has 2 dimes, 1 nickel, and 3 pennies. How much money does she have?
• FR: Priya a 2 pièces de 10 cents, 1 pièce de 5 cents et 3 sous. Combien d'argent a-t-elle?
• Choices: A) 22 cents B) 25 cents C) 28 cents D) 30 cents
• Hint: Add each coin type separately — try 1 dime + 2 nickels + 1 penny: 10+10+1=21 cents.
• Steps:
  • 2 dimes = 20 cents.
  • 1 nickel = 5 cents.
  • 3 pennies = 3 cents.
  • Total: 20 + 5 + 3 = 28 cents.
• Answer: 28 cents

[Medium] Telling Time (Half Hour)

• EN: The clock shows the short hand between 7 and 8, and the long hand on 6. What time is it?
• FR: L'horloge montre la petite aiguille entre 7 et 8, et la grande aiguille sur 6. Quelle heure est-il?
• Choices: A) 6:30 B) 7:00 C) 7:30 D) 8:00
• Hint: When the long hand points to 6, it is half past the hour — try the short hand between 4 and 5: it would be 4:30.
• Steps:
  • Long hand on 6 means half past.
  • Short hand between 7 and 8 means the hour just passed is 7.
  • So the time is 7:30.
• Answer: 7:30

[Medium] Number Patterns

• EN: What is the next number in the pattern? 10, 20, 30, 40, ___
• FR: Quel est le prochain nombre dans la suite? 10, 20, 30, 40, ___
• Choices: A) 41 B) 45 C) 50 D) 55
• Hint: Find what is being added each time — try 5, 10, 15, 20: each step adds 5.
• Steps:
  • Each number increases by 10.
  • 40 + 10 = 50.
  • So the next number is 50.
• Answer: 50

[Medium] Subtraction with Borrowing

• EN: A bag had 83 stickers. Ethan used 47. How many stickers are left?
• FR: Un sac avait 83 autocollants. Ethan en a utilisé 47. Combien d'autocollants reste-t-il?
• Choices: A) 34 B) 36 C) 38 D) 46
• Hint: Regroup when the top ones digit is smaller — try 72 − 35: regroup to get 62 − 25 ones thinking, answer 37.
• Steps:
  • Ones: 3 is less than 7, so regroup. 13 − 7 = 6.
  • Tens: 7 − 4 = 3 (since we borrowed 1 ten).
  • So 83 − 47 = 36 stickers.
• Answer: 36

[Hard] Two-Step Problem

• EN: Anika had 65 cm of ribbon. She cut off 28 cm for one project and 19 cm for another. How much ribbon is left?
• FR: Anika avait 65 cm de ruban. Elle a coupé 28 cm pour un projet et 19 cm pour un autre. Combien de ruban reste-t-il?
• Choices: A) 16 cm B) 17 cm C) 18 cm D) 19 cm
• Hint: Subtract one amount at a time — try 50 − 12 − 8: 50−12=38, then 38−8=30.
• Steps:
  • 65 − 28 = 37 cm.
  • 37 − 19 = 18 cm.
  • So 18 cm of ribbon is left.
• Answer: 18 cm

[Hard] Comparing and Adding

• EN: Room A has 48 students and Room B has 37 students. How many students are there altogether?
• FR: La salle A a 48 élèves et la salle B a 37 élèves. Combien y a-t-il d'élèves en tout?
• Choices: A) 75 B) 83 C) 85 D) 87
• Hint: Add the ones, carry if needed, then add the tens — try 36 + 45: 6+5=11, write 1 carry 1, then 3+4+1=8, answer 81.
• Steps:
  • Ones: 8 + 7 = 15. Write 5, carry 1.
  • Tens: 4 + 3 + 1 (carried) = 8.
  • Total: 85 students.
• Answer: 85

[Easy] Multiplication by 2

• EN: There are 6 pairs of mittens on the shelf. How many mittens is that in total?
• FR: Il y a 6 paires de mitaines sur l'étagère. Combien cela fait-il de mitaines en tout?
• Choices: A) 8 mittens B) 10 mittens C) 12 mittens D) 14 mittens
• Hint: A pair means 2 — try 4 pairs: 4 × 2 = 8 mittens.
• Steps:
  • Each pair has 2 mittens.
  • 6 × 2 = 12.
  • So there are 12 mittens.
• Answer: 12 mittens

[Easy] Fractions

• EN: A pizza is cut into 4 equal pieces. Leon eats 1 piece. What fraction of the pizza did he eat?
• FR: Une pizza est coupée en 4 morceaux égaux. Léon mange 1 morceau. Quelle fraction de la pizza a-t-il mangée?
• Choices: A) 1/2 B) 1/3 C) 1/4 D) 2/4
• Hint: The fraction is the pieces eaten over the total pieces — try eating 1 out of 3 pieces: that is 1/3.
• Steps:
  • Total pieces = 4.
  • Leon ate 1 piece.
  • Fraction = 1/4.
• Answer: 1/4

[Easy] Multiplication by 5

• EN: A Tim Hortons box holds 5 Timbits. There are 7 boxes. How many Timbits are there in all?
• FR: Une boîte de Tim Hortons contient 5 Timbits. Il y a 7 boîtes. Combien y a-t-il de Timbits en tout?
• Choices: A) 30 Timbits B) 35 Timbits C) 40 Timbits D) 45 Timbits
• Hint: Multiply the number of boxes by 5 — try 4 boxes: 4 × 5 = 20.
• Steps:
  • 7 × 5 = 35.
  • So there are 35 Timbits.
• Answer: 35 Timbits

[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) 15 cm C) 16 cm D) 18 cm
• Hint: Add all four sides — try a rectangle 4 cm by 2 cm: 4+2+4+2=12 cm.
• Steps:
  • Perimeter = side + side + side + side.
  • 5 + 3 + 5 + 3 = 16 cm.
  • So the perimeter is 16 cm.
• Answer: 16 cm

[Medium] Division

• EN: 24 hockey stickers are shared equally among 4 friends. How many stickers does each friend get?
• FR: 24 autocollants de hockey sont partagés également entre 4 amis. Combien chaque ami reçoit-il d'autocollants?
• Choices: A) 5 stickers B) 6 stickers C) 7 stickers D) 8 stickers
• Hint: Think of the multiplication fact — try 20 ÷ 4: what times 4 equals 20? That is 5.
• Steps:
  • 4 × ? = 24.
  • 4 × 6 = 24.
  • So each friend gets 6 stickers.
• Answer: 6 stickers

[Medium] Reading a Graph

• EN: A bar graph shows: Monday 6 students, Tuesday 9 students, Wednesday 4 students. How many students in total over the three days?
• FR: Un diagramme à barres montre: lundi 6 élèves, mardi 9 élèves, mercredi 4 élèves. Combien d'élèves y a-t-il en tout sur les trois jours?
• Choices: A) 17 students B) 18 students C) 19 students D) 20 students
• Hint: Add all the bar values together — try 3 + 5 + 7 = 15.
• Steps:
  • 6 + 9 = 15.
  • 15 + 4 = 19.
  • So there are 19 students in total.
• Answer: 19 students

[Medium] Multiplication by 3

• EN: There are 8 triangles drawn on the board. Each triangle has 3 sides. How many sides are there in all?
• FR: Il y a 8 triangles dessinés sur le tableau. Chaque triangle a 3 côtés. Combien y a-t-il de côtés en tout?
• Choices: A) 21 sides B) 24 sides C) 27 sides D) 30 sides
• Hint: Multiply the number of shapes by the number of sides — try 5 triangles: 5 × 3 = 15.
• Steps:
  • 8 × 3 = 24.
  • So there are 24 sides.
• Answer: 24 sides

[Medium] Fractions on a Number Line

• EN: A chocolate bar is divided into 3 equal pieces. Sofia eats 2 pieces. What fraction did she eat?
• FR: Une barre de chocolat est divisée en 3 morceaux égaux. Sofia mange 2 morceaux. Quelle fraction a-t-elle mangée?
• Choices: A) 1/3 B) 2/3 C) 2/4 D) 3/4
• Hint: Write the pieces eaten over the total — try eating 1 out of 3: that is 1/3.
• Steps:
  • Total pieces = 3.
  • Sofia ate 2 pieces.
  • Fraction = 2/3.
• Answer: 2/3

[Hard] Multi-Step Multiplication

• EN: A farmer plants 9 rows of corn with 10 plants in each row. He gives away 18 plants. How many plants remain?
• FR: Un fermier plante 9 rangées de maïs avec 10 plants par rangée. Il donne 18 plants. Combien de plants reste-t-il?
• Choices: A) 68 plants B) 72 plants C) 80 plants D) 82 plants
• Hint: First multiply to find the total, then subtract — try 4 × 5 = 20, then 20 − 6 = 14.
• Steps:
  • Total plants: 9 × 10 = 90.
  • Subtract: 90 − 18 = 72.
  • So 72 plants remain.
• Answer: 72 plants

[Hard] Perimeter Word Problem

• EN: A square playground has a perimeter of 28 m. What is the length of one side?
• FR: Un terrain de jeu carré a un périmètre de 28 m. Quelle est la longueur d'un côté?
• Choices: A) 6 m B) 7 m C) 8 m D) 9 m
• Hint: A square has 4 equal sides, so divide the perimeter by 4 — try perimeter 20 m: 20 ÷ 4 = 5 m.
• Steps:
  • A square has 4 equal sides.
  • 28 ÷ 4 = 7.
  • So each side is 7 m.
• Answer: 7 m

[Easy] Multiplication Facts

• EN: What is 8 × 7?
• FR: Combien fait 8 × 7?
• Choices: A) 48 B) 54 C) 56 D) 63
• Hint: Think of a related fact — try 8 × 6 = 48, then add one more group of 8.
• Steps:
  • 8 × 6 = 48.
  • 48 + 8 = 56.
  • So 8 × 7 = 56.
• Answer: 56

[Easy] Decimal Place Value

• EN: What is the value of the digit 4 in the number 3.47?
• FR: Quelle est la valeur du chiffre 4 dans le nombre 3,47?
• Choices: A) 4 ones B) 4 tenths C) 4 hundredths D) 40 ones
• Hint: The first digit after the decimal point is in the tenths place — try 2.68: the 6 is in the tenths place.
• Steps:
  • 3.47: the 3 is in the ones place.
  • The 4 is right after the decimal point.
  • That is the tenths place, so the 4 is 4 tenths.
• Answer: 4 tenths

[Easy] Comparing Fractions

• EN: Which fraction is greater: 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 denominator is the same, compare the numerators — try 2/5 vs. 4/5: 4/5 is greater.
• Steps:
  • Both fractions have the same denominator (4).
  • Compare the numerators: 3 > 1.
  • So 3/4 is greater.
• Answer: 3/4

[Easy] Area of a Rectangle

• EN: A floor tile is 6 cm long and 4 cm wide. What is the area of the tile?
• FR: Un carreau de sol mesure 6 cm de long et 4 cm de large. Quelle est l'aire du carreau?
• Choices: A) 10 cm² B) 20 cm² C) 24 cm² D) 28 cm²
• Hint: Area = length × width — try a tile 5 cm by 3 cm: 5 × 3 = 15 cm².
• Steps:
  • Area = length × width.
  • Area = 6 × 4 = 24 cm².
  • So the area is 24 cm².
• Answer: 24 cm²

[Medium] Long Division

• EN: 96 students are placed equally into 8 groups. How many students are in each group?
• FR: 96 élèves sont répartis équitablement en 8 groupes. Combien d'élèves y a-t-il dans chaque groupe?
• Choices: A) 11 B) 12 C) 13 D) 14
• Hint: Think of the multiplication fact — try 72 ÷ 8: what times 8 = 72? That is 9.
• Steps:
  • 8 × ? = 96.
  • 8 × 12 = 96.
  • So each group has 12 students.
• Answer: 12

[Medium] Long Division with Remainder

• EN: 75 apples are packed into bags of 8. How many full bags are there, and how many apples are left over?
• FR: 75 pommes sont emballées dans des sacs de 8. Combien de sacs pleins y a-t-il et combien de pommes restent-il?
• Choices: A) 8 bags, remainder 9 B) 9 bags, remainder 3 C) 9 bags, remainder 5 D) 10 bags, remainder 2
• Hint: Divide and find the remainder — try 43 ÷ 5: 5×8=40, remainder 3, so 8 bags remainder 3.
• Steps:
  • 8 × 9 = 72.
  • 75 − 72 = 3 left over.
  • So there are 9 full bags with 3 apples remaining.
• Answer: 9 bags, remainder 3

[Medium] Elapsed Time

• EN: A hockey game starts at 1:15 PM and ends at 3:45 PM. How long did the game last?
• FR: Un match de hockey commence à 13 h 15 et se termine à 15 h 45. Combien de temps a duré le match?
• Choices: A) 1 hour 30 minutes B) 2 hours C) 2 hours 30 minutes D) 3 hours 15 minutes
• Hint: Count the hours first, then the minutes — try 2:10 PM to 4:40 PM: 2 hours then 30 more minutes = 2 hours 30 minutes.
• Steps:
  • From 1:15 PM to 3:15 PM = 2 hours.
  • From 3:15 PM to 3:45 PM = 30 minutes.
  • Total: 2 hours 30 minutes.
• Answer: 2 hours 30 minutes

[Medium] Decimals

• EN: What is 4.6 + 2.3?
• FR: Combien fait 4,6 + 2,3?
• Choices: A) 6.3 B) 6.5 C) 6.9 D) 7.1
• Hint: Add the tenths, then the ones — try 3.2 + 1.5: tenths 2+5=7, ones 3+1=4, answer 4.7.
• Steps:
  • Tenths: 0.6 + 0.3 = 0.9.
  • Ones: 4 + 2 = 6.
  • Total: 6.9.
• Answer: 6.9

[Hard] Multi-Step Area Problem

• EN: A classroom is 9 m long and 7 m wide. A storage room inside measures 3 m by 2 m. What is the floor area of the classroom excluding the storage room?
• FR: Une salle de classe mesure 9 m de long et 7 m de large. Une salle de rangement à l'intérieur mesure 3 m sur 2 m. Quelle est l'aire du plancher de la salle de classe sans la salle de rangement?
• Choices: A) 55 m² B) 57 m² C) 60 m² D) 63 m²
• Hint: Find the large area, then subtract the small area — try room 8×6=48, storage 2×2=4, answer 44 m².
• Steps:
  • Classroom area: 9 × 7 = 63 m².
  • Storage room area: 3 × 2 = 6 m².
  • 63 − 6 = 57 m².
• Answer: 57 m²

[Hard] Fraction and Division Combined

• EN: There are 36 students in a class. One quarter of the students are wearing blue. How many students are wearing blue?
• FR: Il y a 36 élèves dans une classe. Le quart des élèves porte du bleu. Combien d'élèves portent du bleu?
• Choices: A) 7 students B) 8 students C) 9 students D) 12 students
• Hint: To find one quarter, divide by 4 — try 1/4 of 20: 20 ÷ 4 = 5.
• Steps:
  • One quarter means divide by 4.
  • 36 ÷ 4 = 9.
  • So 9 students are wearing blue.
• Answer: 9 students

[Easy] Multi-Digit Multiplication

• EN: What is 34 × 6?
• FR: Combien fait 34 × 6?
• Choices: A) 184 B) 200 C) 204 D) 240
• Hint: Multiply each digit separately then combine — try 23 × 4: 3×4=12, 20×4=80, total 92.
• Steps:
  • 4 × 6 = 24. Write 4, carry 2.
  • 3 × 6 = 18, plus 2 carried = 20.
  • So 34 × 6 = 204.
• Answer: 204

[Easy] Adding Fractions (Like Denominators)

• EN: What is 2/5 + 1/5?
• FR: Combien fait 2/5 + 1/5?
• Choices: A) 3/10 B) 3/5 C) 4/5 D) 2/10
• Hint: When denominators are the same, add the numerators and keep the denominator — try 1/6 + 2/6 = 3/6.
• Steps:
  • Denominators are the same (5).
  • Add the numerators: 2 + 1 = 3.
  • Answer: 3/5
• Answer: 3/5

[Easy] Percentage Intro — 50%

• EN: A jacket costs $80. It is on sale for 50% off. How much do you save?
• FR: Un manteau coûte 80 $. Il est en solde à 50% de rabais. Combien économisez-vous?
• Choices: A) $20 B) $30 C) $40 D) $50
• Hint: 50% means half — try 50% of $60: half of 60 is $30.
• Steps:
  • 50% = half.
  • Half of $80 = $80 ÷ 2 = $40.
  • So you save $40.
• Answer: $40

[Easy] Decimal Operations

• EN: What is 5.75 − 2.30?
• FR: Combien fait 5,75 − 2,30?
• Choices: A) 3.05 B) 3.35 C) 3.45 D) 3.55
• Hint: Line up the decimal points and subtract — try 6.80 − 3.20 = 3.60.
• Steps:
  • Hundredths: 5 − 0 = 5.
  • Tenths: 7 − 3 = 4.
  • Ones: 5 − 2 = 3.
  • Answer: 3.45
• Answer: 3.45

[Medium] Multi-Digit Division

• EN: 468 students are split equally into 9 classes. How many students are in each class?
• FR: 468 élèves sont répartis également dans 9 classes. Combien y a-t-il d'élèves par classe?
• Choices: A) 48 B) 51 C) 52 D) 54
• Hint: Divide step by step — try 324 ÷ 9: how many 9s in 32? 3 remainder 5, bring down 4, how many 9s in 54? 6, so answer 36.
• Steps:
  • 9 goes into 46 five times (9×5=45). Remainder 1.
  • Bring down 8: 18 ÷ 9 = 2.
  • So 468 ÷ 9 = 52.
• Answer: 52

[Medium] Subtracting Fractions

• EN: What is 7/8 − 3/8?
• FR: Combien fait 7/8 − 3/8?
• Choices: A) 3/8 B) 4/8 C) 4/16 D) 5/8
• Hint: Subtract the numerators and keep the denominator the same — try 5/9 − 2/9 = 3/9.
• Steps:
  • Denominators are the same (8).
  • Subtract numerators: 7 − 3 = 4.
  • Answer: 4/8
• Answer: 4/8

[Medium] Volume of a Rectangular Prism

• EN: A box is 5 cm long, 4 cm wide, and 3 cm tall. What is its volume?
• FR: Une boîte mesure 5 cm de long, 4 cm de large et 3 cm de haut. Quel est son volume?
• Choices: A) 48 cm³ B) 60 cm³ C) 70 cm³ D) 80 cm³
• Hint: Volume = length × width × height — try a box 2 × 3 × 4 = 24 cm³.
• Steps:
  • Volume = 5 × 4 × 3.
  • 5 × 4 = 20.
  • 20 × 3 = 60 cm³.
• Answer: 60 cm³

[Medium] 25% of a Number

• EN: A bag of trail mix costs $12. It is on sale for 25% off. How much is the discount?
• FR: Un sac de mélange montagnard coûte 12 $. Il est en solde à 25% de rabais. Quel est le rabais?
• Choices: A) $2 B) $3 C) $4 D) $6
• Hint: 25% means one quarter, so divide by 4 — try 25% of $8: 8 ÷ 4 = $2.
• Steps:
  • 25% = one quarter = divide by 4.
  • $12 ÷ 4 = $3.
  • So the discount is $3.
• Answer: $3

[Hard] Multi-Step Word Problem

• EN: A school orders 24 boxes of crayons with 12 crayons each. They share them equally among 9 classrooms. How many crayons does each classroom get?
• FR: Une école commande 24 boîtes de crayons avec 12 crayons chacune. Elles sont partagées également entre 9 classes. Combien de crayons chaque classe reçoit-elle?
• Choices: A) 28 crayons B) 30 crayons C) 32 crayons D) 36 crayons
• Hint: Multiply first to find the total, then divide — try 6 boxes × 10 = 60 crayons ÷ 5 rooms = 12 each.
• Steps:
  • Total crayons: 24 × 12 = 288.
  • Divide: 288 ÷ 9 = 32.
  • So each classroom gets 32 crayons.
• Answer: 32 crayons

[Hard] Decimal and Fraction Combined

• EN: Marcus ran 3.6 km on Monday, 2.75 km on Tuesday, and 1.9 km on Wednesday. How far did he run in total?
• FR: Marcus a couru 3,6 km lundi, 2,75 km mardi et 1,9 km mercredi. Quelle distance a-t-il parcourue en tout?
• Choices: A) 7.85 km B) 8.25 km C) 8.35 km D) 8.45 km
• Hint: Line up decimal points and add carefully — try 1.5 + 2.25 + 0.8: line up decimals to get 4.55.
• Steps:
  • 3.60 + 2.75 = 6.35.
  • 6.35 + 1.90 = 8.25.
  • So Marcus ran 8.25 km.
• Answer: 8.25 km

[Easy] Percent of a Number

• EN: What is 10% of 90?
• FR: Combien fait 10% de 90?
• Choices: A) 7 B) 9 C) 10 D) 19
• Hint: To find 10%, divide by 10 — try 10% of 50: 50 ÷ 10 = 5.
• Steps:
  • 10% means divide by 10.
  • 90 ÷ 10 = 9.
  • So 10% of 90 = 9.
• Answer: 9

[Easy] Order of Operations (BEDMAS)

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

[Easy] Integers Introduction

• EN: The temperature in Winnipeg is −8°C in the morning. By noon it rises by 12°C. What is the temperature at noon?
• FR: La température à Winnipeg est de −8°C le matin. À midi, elle monte de 12°C. Quelle est la température à midi?
• Choices: A) −4°C B) 4°C C) 8°C D) 20°C
• Hint: Adding a positive to a negative: start at the negative and count up — try −3 + 7 = 4.
• Steps:
  • Start at −8.
  • Add 12: −8 + 12 = 4.
  • So the temperature at noon is 4°C.
• Answer: 4°C

[Easy] Ratio

• EN: In a class, the ratio of boys to girls is 3:2. If there are 12 boys, how many girls are there?
• FR: Dans une classe, le rapport garçons:filles est 3:2. S'il y a 12 garçons, combien y a-t-il de filles?
• Choices: A) 6 girls B) 7 girls C) 8 girls D) 9 girls
• Hint: Find the scale factor first, then multiply the other part — try ratio 2:3 with 6 boys: scale=3, so girls=9.
• Steps:
  • Ratio is 3:2. Boys = 12.
  • Scale factor: 12 ÷ 3 = 4.
  • Girls: 2 × 4 = 8 girls.
• Answer: 8 girls

[Medium] Fraction Multiplication

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

[Medium] BEDMAS with Brackets

• EN: What is (6 + 2) × 3 − 4?
• FR: Combien fait (6 + 2) × 3 − 4?
• Choices: A) 16 B) 18 C) 20 D) 22
• Hint: Do brackets first, then multiply, then subtract — try (4+1)×2−3: brackets=5, ×2=10, −3=7.
• Steps:
  • Brackets: 6 + 2 = 8.
  • Multiply: 8 × 3 = 24.
  • Subtract: 24 − 4 = 20.
• Answer: 20

[Medium] Rate

• EN: A car travels 240 km in 3 hours. What is its speed in km/h?
• FR: Une voiture parcourt 240 km en 3 heures. Quelle est sa vitesse en km/h?
• Choices: A) 70 km/h B) 75 km/h C) 80 km/h D) 90 km/h
• Hint: Speed = distance ÷ time — try 150 km in 3 hours: 150 ÷ 3 = 50 km/h.
• Steps:
  • Speed = distance ÷ time.
  • 240 ÷ 3 = 80.
  • So the speed is 80 km/h.
• Answer: 80 km/h

[Medium] Algebraic Expression

• EN: If n = 5, what is the value of 4n − 7?
• FR: Si n = 5, quelle est la valeur de 4n − 7?
• Choices: A) 11 B) 12 C) 13 D) 14
• Hint: Substitute the value and then follow BEDMAS — try n = 3 in 4n − 7: 4×3=12, 12−7=5.
• Steps:
  • Substitute n = 5: 4(5) − 7.
  • 4 × 5 = 20.
  • 20 − 7 = 13.
• Answer: 13

[Hard] Fraction Division

• EN: A recipe needs 3/4 of a cup of sugar. You want to make 1/2 the recipe. How much sugar do you need?
• FR: Une recette nécessite 3/4 de tasse de sucre. Vous voulez faire la moitié de la recette. De quelle quantité de sucre avez-vous besoin?
• Choices: A) 1/4 cup B) 3/8 cup C) 1/2 cup D) 3/4 cup
• Hint: Multiply the fraction by 1/2 — try 2/3 × 1/2: 2×1=2, 3×2=6, answer 2/6=1/3.
• Steps:
  • Multiply: 3/4 × 1/2.
  • Numerators: 3 × 1 = 3.
  • Denominators: 4 × 2 = 8.
  • Answer: 3/8 cup
• Answer: 3/8 cup

[Hard] Percent Discount

• EN: A snowboard originally costs $280. It is discounted by 15%. What is the sale price?
• FR: Une planche à neige coûte à l'origine 280 $. Elle est réduite de 15%. Quel est le prix de vente?
• Choices: A) $220 B) $232 C) $238 D) $242
• Hint: Find the discount, then subtract from the original price — try 20% off $150: 20% of 150=30, 150−30=$120.
• Steps:
  • 15% of $280: 10% = $28, 5% = $14, total discount = $42.
  • Sale price: $280 − $42 = $238.
  • So the sale price is $238.
• Answer: $238

[Easy] Integer Addition

• EN: What is −5 + 9?
• FR: Combien fait −5 + 9?
• Choices: A) −14 B) −4 C) 4 D) 14
• Hint: On a number line, start at −5 and jump 9 to the right — try −3 + 7 = 4.
• Steps:
  • Start at −5.
  • Move 9 steps right: −5 + 9 = 4.
  • So the answer is 4.
• Answer: 4

[Easy] Percent Discount

• EN: A book originally costs $20. It is on sale for 30% off. What is the sale price?
• FR: Un livre coûte à l'origine 20 $. Il est en solde à 30% de rabais. Quel est le prix de vente?
• Choices: A) $6 B) $13 C) $14 D) $16
• Hint: Find the discount first, then subtract — try 20% of $15 = $3, sale price = $12.
• Steps:
  • 30% of $20 = 0.30 × 20 = $6.
  • Sale price: $20 − $6 = $14.
  • So the sale price is $14.
• Answer: $14

[Easy] Fraction Operations

• EN: What is 5/6 − 1/6?
• FR: Combien fait 5/6 − 1/6?
• Choices: A) 4/12 B) 4/6 C) 5/6 D) 6/6
• Hint: With same denominators, just subtract the numerators — try 7/8 − 3/8 = 4/8.
• Steps:
  • Denominators are the same (6).
  • Subtract numerators: 5 − 1 = 4.
  • Answer: 4/6
• Answer: 4/6

[Easy] One-Step Equation

• EN: Solve for x: x + 9 = 15.
• FR: Résous pour x: x + 9 = 15.
• Choices: A) x = 5 B) x = 6 C) x = 7 D) x = 24
• Hint: Subtract the same number from both sides — try x + 4 = 11: x = 11 − 4 = 7.
• Steps:
  • Subtract 9 from both sides.
  • x = 15 − 9 = 6.
  • So x = 6.
• Answer: x = 6

[Medium] Integer Multiplication

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

[Medium] Tax Calculation

• EN: A video game costs $55. There is a 13% sales tax (HST). What is the total cost?
• FR: Un jeu vidéo coûte 55 $. Il y a une taxe de vente de 13% (TVH). Quel est le coût total?
• Choices: A) $60.65 B) $62.15 C) $63.25 D) $68.00
• Hint: Find the tax, then add to the price — try 13% of $100 = $13, total = $113.
• Steps:
  • 13% of $55 = 0.13 × 55 = $7.15.
  • Total: $55 + $7.15 = $62.15.
  • So the total cost is $62.15.
• Answer: $62.15

[Medium] Surface Area of a Rectangular Prism

• EN: A box is 5 cm long, 3 cm wide, and 2 cm tall. What is its surface area?
• FR: Une boîte mesure 5 cm de long, 3 cm de large et 2 cm de haut. Quelle est son aire totale?
• Choices: A) 30 cm² B) 46 cm² C) 54 cm² D) 62 cm²
• Hint: SA = 2(lw + lh + wh) — try a box 2×2×2: SA = 2(4+4+4) = 24 cm².
• Steps:
  • Face pairs: lw=5×3=15, lh=5×2=10, wh=3×2=6.
  • Sum: 15+10+6=31.
  • SA = 2 × 31 = 62 cm².
• Answer: 62 cm²

[Medium] Probability

• EN: A bag has 3 red marbles, 5 blue marbles, and 2 green marbles. What is the probability of picking a blue marble?
• FR: Un sac contient 3 billes rouges, 5 billes bleues et 2 billes vertes. Quelle est la probabilité de choisir une bille bleue?
• Choices: A) 1/2 B) 3/10 C) 5/10 D) 7/10
• Hint: Probability = favourable outcomes ÷ total outcomes — try 2 blue out of 6 total = 2/6 = 1/3.
• Steps:
  • Total marbles: 3 + 5 + 2 = 10.
  • Blue marbles: 5.
  • Probability = 5/10 = 1/2.
• Answer: 1/2

[Hard] Two-Step Equation

• EN: Solve for x: 3x − 4 = 17.
• FR: Résous pour x: 3x − 4 = 17.
• Choices: A) x = 5 B) x = 7 C) x = 9 D) x = 11
• Hint: First add 4 to both sides, then divide — try 2x − 3 = 9: add 3 to get 2x=12, divide by 2 to get x=6.
• Steps:
  • Add 4 to both sides: 3x = 21.
  • Divide by 3: x = 7.
  • So x = 7.
• Answer: x = 7

[Hard] Tip Calculation

• EN: A family's restaurant bill in Ottawa is $86.40. They leave a 15% tip. What is the total amount paid?
• FR: La facture d'un restaurant d'une famille à Ottawa est de 86,40 $. Ils laissent un pourboire de 15%. Quel est le montant total payé?
• Choices: A) $97.36 B) $99.36 C) $101.36 D) $103.36
• Hint: Find 15% of the bill, then add — try 15% of $60: 10%=$6, 5%=$3, total tip=$9, total=$69.
• Steps:
  • 10% of $86.40 = $8.64.
  • 5% of $86.40 = $4.32.
  • Tip = $8.64 + $4.32 = $12.96.
  • Total = $86.40 + $12.96 = $99.36.
• Answer: $99.36

[Easy] Perfect Squares

• EN: What is √144?
• FR: Combien fait √144?
• Choices: A) 11 B) 12 C) 13 D) 14
• Hint: Think of a number times itself — try √81: 9 × 9 = 81, so √81 = 9.
• Steps:
  • Ask: what number times itself equals 144?
  • 12 × 12 = 144.
  • So √144 = 12.
• Answer: 12

[Easy] Mean

• EN: Five students scored: 72, 85, 68, 90, and 75 on a test. What is the mean score?
• FR: Cinq élèves ont obtenu les notes suivantes: 72, 85, 68, 90 et 75. Quelle est la moyenne?
• Choices: A) 76 B) 78 C) 80 D) 82
• Hint: Add all values and divide by the number of values — try 10, 20, 30: sum=60, divide by 3 = 20.
• Steps:
  • Sum: 72 + 85 + 68 + 90 + 75 = 390.
  • Mean: 390 ÷ 5 = 78.
  • So the mean is 78.
• Answer: 78

[Easy] Two-Step Equation

• EN: Solve for y: 2y + 5 = 19.
• FR: Résous pour y: 2y + 5 = 19.
• Choices: A) y = 5 B) y = 7 C) y = 8 D) y = 12
• Hint: Subtract first, then divide — try 3y + 2 = 14: subtract 2 to get 3y=12, divide by 3, y=4.
• Steps:
  • Subtract 5: 2y = 14.
  • Divide by 2: y = 7.
  • So y = 7.
• Answer: y = 7

[Easy] Percent Increase

• EN: A hockey jersey was $50. Its price increased by 20%. What is the new price?
• FR: Un chandail de hockey coûtait 50 $. Son prix a augmenté de 20%. Quel est le nouveau prix?
• Choices: A) $55 B) $58 C) $60 D) $70
• Hint: Find the increase and add to the original — try 10% of $40 = $4, so 20% = $8, new price = $48.
• Steps:
  • 20% of $50 = $10.
  • New price: $50 + $10 = $60.
  • So the new price is $60.
• Answer: $60

[Medium] Pythagorean Theorem

• EN: A right triangle has legs of 6 cm and 8 cm. What is the length of the hypotenuse?
• FR: Un triangle rectangle a des cathètes de 6 cm et 8 cm. Quelle est la longueur de l'hypoténuse?
• Choices: A) 9 cm B) 10 cm C) 11 cm D) 14 cm
• Hint: Use a² + b² = c² — try legs 3 and 4: 9 + 16 = 25, √25 = 5.
• Steps:
  • a² + b² = c².
  • 6² + 8² = 36 + 64 = 100.
  • c = √100 = 10 cm.
• Answer: 10 cm

[Medium] Slope

• EN: A line passes through points (2, 3) and (6, 11). What is the slope?
• FR: Une droite passe par les points (2, 3) et (6, 11). Quelle est la pente?
• Choices: A) 1 B) 2 C) 3 D) 4
• Hint: Slope = rise ÷ run = (y₂−y₁)÷(x₂−x₁) — try (1,2) and (3,8): rise=6, run=2, slope=3.
• Steps:
  • Rise: 11 − 3 = 8.
  • Run: 6 − 2 = 4.
  • Slope = 8 ÷ 4 = 2.
• Answer: 2

[Medium] Percent Decrease

• EN: A sweater was $75. It went on sale and is now $60. What is the percent decrease?
• FR: Un chandail coûtait 75 $. Il est maintenant en solde à 60 $. Quel est le pourcentage de diminution?
• Choices: A) 15% B) 17% C) 20% D) 25%
• Hint: Percent decrease = (decrease ÷ original) × 100 — try original $50, new $40: decrease=10, 10/50×100=20%.
• Steps:
  • Decrease: $75 − $60 = $15.
  • Percent: ($15 ÷ $75) × 100 = 20%.
  • So the percent decrease is 20%.
• Answer: 20%

[Medium] Median and Mode

• EN: Find the median of: 4, 7, 2, 9, 7, 3, 8.
• FR: Trouve la médiane de: 4, 7, 2, 9, 7, 3, 8.
• Choices: A) 4 B) 7 C) 8 D) 9
• Hint: Sort the numbers first, then find the middle value — try 1, 3, 5, 7, 9: middle is 5.
• Steps:
  • Sort: 2, 3, 4, 7, 7, 8, 9.
  • There are 7 values; the middle (4th) value is 7.
  • So the median is 7.
• Answer: 7

[Hard] Pythagorean Theorem — Diagonal

• EN: A rectangular hockey rink is 30 m wide and 40 m long. How long is the diagonal from one corner to the opposite corner?
• FR: Une patinoire de hockey rectangulaire a 30 m de large et 40 m de long. Quelle est la longueur de la diagonale d'un coin à l'autre?
• Choices: A) 45 m B) 50 m C) 55 m D) 70 m
• Hint: The diagonal is the hypotenuse — try a 6×8 rectangle: diagonal = √(36+64) = 10.
• Steps:
  • a² + b² = c².
  • 30² + 40² = 900 + 1600 = 2500.
  • c = √2500 = 50 m.
• Answer: 50 m

[Hard] Two-Step Equation with Fractions

• EN: Solve for x: x/3 + 4 = 9.
• FR: Résous pour x: x/3 + 4 = 9.
• Choices: A) x = 12 B) x = 15 C) x = 18 D) x = 21
• Hint: Subtract first, then multiply both sides by the denominator — try x/4 + 2 = 7: subtract 2, x/4=5, multiply by 4, x=20.
• Steps:
  • Subtract 4: x/3 = 5.
  • Multiply by 3: x = 15.
  • So x = 15.
• Answer: x = 15

[Easy] Solving a Linear Equation

• EN: Solve for x: 5x − 10 = 20.
• FR: Résous pour x: 5x − 10 = 20.
• Choices: A) x = 4 B) x = 5 C) x = 6 D) x = 8
• Hint: Add the constant to both sides first, then divide — try 4x − 8 = 12: add 8, 4x=20, divide by 4, x=5.
• Steps:
  • Add 10 to both sides: 5x = 30.
  • Divide by 5: x = 6.
  • So x = 6.
• Answer: x = 6

[Easy] Slope-Intercept Form

• EN: What is the y-intercept of the line y = 3x + 7?
• FR: Quel est l'ordonnée à l'origine de la droite y = 3x + 7?
• Choices: A) 3 B) 5 C) 7 D) 10
• Hint: In y = mx + b, the y-intercept is the value of b — try y = 2x + 5: the y-intercept is 5.
• Steps:
  • The equation is in y = mx + b form.
  • m = 3 (slope) and b = 7 (y-intercept).
  • So the y-intercept is 7.
• Answer: 7

[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: Combine like terms — try (4x + 7) + (x − 2): 4x+x=5x, 7−2=5, answer 5x+5.
• Steps:
  • Combine x terms: 3x + 2x = 5x.
  • Combine constants: 5 + (−3) = 2.
  • Answer: 5x + 2
• Answer: 5x + 2

[Easy] Trigonometry — SOH

• EN: In a right triangle, the opposite side is 4 and the hypotenuse is 8. What is sin(θ)?
• FR: Dans un triangle rectangle, le côté opposé est 4 et l'hypoténuse est 8. Combien vaut sin(θ)?
• Choices: A) 1/4 B) 1/3 C) 1/2 D) 2/3
• Hint: SOH means sin = opposite ÷ hypotenuse — try opposite=3, hypotenuse=9: sin=3/9=1/3.
• Steps:
  • sin(θ) = opposite ÷ hypotenuse.
  • sin(θ) = 4 ÷ 8 = 1/2.
  • So sin(θ) = 1/2.
• Answer: 1/2

[Medium] Linear Inequality

• EN: Solve and describe the solution: 4x − 3 > 9.
• FR: Résous et décris la solution: 4x − 3 > 9.
• Choices: A) x > 2 B) x > 3 C) x < 3 D) x ≥ 3
• Hint: Solve like an equation, but keep the inequality sign — try 3x − 1 > 8: add 1, 3x>9, divide, x>3.
• Steps:
  • Add 3 to both sides: 4x > 12.
  • Divide by 4: x > 3.
  • So x > 3.
• Answer: x > 3

[Medium] Multiplying Polynomials

• EN: Expand: 3x(2x + 5).
• FR: Développe: 3x(2x + 5).
• Choices: A) 5x² + 8x B) 6x² + 8x C) 6x² + 15x D) 6x + 15
• Hint: Multiply the term outside by each term inside — try 2x(x + 4): 2x×x=2x², 2x×4=8x, answer 2x²+8x.
• Steps:
  • 3x × 2x = 6x².
  • 3x × 5 = 15x.
  • Answer: 6x² + 15x
• Answer: 6x² + 15x

[Medium] Similar Triangles

• EN: Two similar triangles have sides in a ratio of 2:5. The smaller triangle has a base of 8 cm. What is the base of the larger triangle?
• FR: Deux triangles semblables ont des côtés dans un rapport de 2:5. Le plus petit triangle a une base de 8 cm. Quelle est la base du plus grand triangle?
• Choices: A) 16 cm B) 18 cm C) 20 cm D) 25 cm
• Hint: Set up a proportion and solve — try ratio 3:7 and small base 9: 9×(7/3)=21 cm.
• Steps:
  • Scale factor: 2:5, small base = 8 cm.
  • Large base = 8 × (5/2) = 8 × 2.5 = 20 cm.
  • So the base is 20 cm.
• Answer: 20 cm

[Medium] Graphing Lines

• EN: A line has slope 2 and y-intercept −3. Which equation represents this line?
• FR: Une droite a une pente de 2 et une ordonnée à l'origine de −3. Quelle équation représente cette droite?
• Choices: A) y = −3x + 2 B) y = 2x − 3 C) y = 3x − 2 D) y = 2x + 3
• Hint: Use y = mx + b where m is slope and b is y-intercept — try slope 4, y-intercept 1: y = 4x + 1.
• Steps:
  • m = 2 and b = −3.
  • Substitute into y = mx + b.
  • Equation: y = 2x − 3.
• Answer: y = 2x − 3

[Hard] Trigonometry — Finding a Side

• EN: A ladder leans against a wall. The angle with the ground is 60° and the ladder is 10 m long. How high up the wall does the ladder reach? (Use sin 60° ≈ 0.866)
• FR: Une échelle est appuyée contre un mur. L'angle avec le sol est de 60° et l'échelle mesure 10 m. À quelle hauteur le long du mur l'échelle atteint-elle? (Utilise sin 60° ≈ 0,866)
• Choices: A) 7.66 m B) 8.66 m C) 9.00 m D) 9.66 m
• Hint: Use SOH: sin(angle) = opposite ÷ hypotenuse, so opposite = hypotenuse × sin(angle) — try sin 45°≈0.707, hypotenuse=8: height≈5.66 m.
• Steps:
  • sin 60° = opposite ÷ hypotenuse.
  • opposite = 10 × sin 60° = 10 × 0.866 = 8.66.
  • The ladder reaches 8.66 m up the wall.
• Answer: 8.66 m

[Hard] System of Equations

• EN: Solve the system: y = 2x + 1 and y = −x + 7.
• FR: Résous le système: y = 2x + 1 et y = −x + 7.
• Choices: A) x = 1, y = 6 B) x = 2, y = 5 C) x = 3, y = 4 D) x = 4, y = 3
• Hint: Set the two expressions equal, solve for x, then substitute — try y=x+3 and y=−2x+9: x+3=−2x+9, 3x=6, x=2, y=5.
• Steps:
  • Set equal: 2x + 1 = −x + 7.
  • 3x = 6, so x = 2.
  • y = 2(2) + 1 = 5.
• Answer: x = 2, y = 5

[Easy] Factoring a Quadratic

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

[Easy] Trigonometry — Finding an Angle

• EN: In a right triangle, the adjacent side is 5 and the hypotenuse is 10. What is cos(θ)?
• FR: Dans un triangle rectangle, le côté adjacent est 5 et l'hypoténuse est 10. Combien vaut cos(θ)?
• Choices: A) 1/4 B) 1/3 C) 1/2 D) 2/3
• Hint: CAH means cos = adjacent ÷ hypotenuse — try adjacent=4, hypotenuse=8: cos=4/8=1/2.
• Steps:
  • cos(θ) = adjacent ÷ hypotenuse.
  • cos(θ) = 5 ÷ 10 = 1/2.
  • So cos(θ) = 1/2.
• Answer: 1/2

[Easy] Solving a Quadratic by Factoring

• EN: Solve: x² − 7x + 12 = 0.
• FR: Résous: x² − 7x + 12 = 0.
• Choices: A) x = 2 and x = 6 B) x = 3 and x = 4 C) x = 4 and x = 5 D) x = 6 and x = 7
• Hint: Factor first, then set each factor to zero — try x²−5x+6=0: factors are (x−2)(x−3), so x=2 or x=3.
• Steps:
  • Factor: (x − 3)(x − 4) = 0.
  • Set each factor to zero: x − 3 = 0 or x − 4 = 0.
  • x = 3 and x = 4.
• Answer: x = 3 and x = 4

[Easy] Surface Area of a Cylinder

• EN: A cylinder has a radius of 3 cm and height of 7 cm. What is the approximate surface area? (Use π ≈ 3.14)
• FR: Un cylindre a un rayon de 3 cm et une hauteur de 7 cm. Quelle est l'aire totale approximative? (Utilise π ≈ 3,14)
• Choices: A) 150.72 cm² B) 169.56 cm² C) 188.40 cm² D) 207.24 cm²
• Hint: SA = 2πr² + 2πrh — try r=2, h=5: SA=2×3.14×4+2×3.14×2×5=25.12+62.8=87.92 cm².
• Steps:
  • Two circles: 2 × 3.14 × 3² = 2 × 3.14 × 9 = 56.52 cm².
  • Rectangle: 2 × 3.14 × 3 × 7 = 131.88 cm².
  • Total: 56.52 + 131.88 = 188.40 cm².
• Answer: 188.40 cm²

[Medium] Completing the Square

• EN: Solve by completing the square: x² + 6x − 7 = 0.
• FR: Résous en complétant le carré: x² + 6x − 7 = 0.
• Choices: A) x = 1 and x = −7 B) x = 2 and x = −7 C) x = 7 and x = −1 D) x = 7 and x = −2
• Hint: Move the constant, complete the square, solve for x — try x²+4x−5=0: move 5, (x+2)²=9, x+2=±3, x=1 or x=−5.
• Steps:
  • x² + 6x = 7.
  • (x + 3)² − 9 = 7, so (x + 3)² = 16.
  • x + 3 = ±4, giving x = 1 or x = −7.
• Answer: x = 1 and x = −7

[Medium] Systems of Equations

• EN: Solve the system: 2x + 3y = 12 and x − y = 1.
• FR: Résous le système: 2x + 3y = 12 et x − y = 1.
• Choices: A) x = 2, y = 1 B) x = 3, y = 2 C) x = 4, y = 3 D) x = 5, y = 4
• Hint: From the simpler equation, express one variable and substitute — try x+y=5 and x−y=1: add the equations to get 2x=6, x=3, y=2.
• Steps:
  • From x − y = 1: x = y + 1.
  • Substitute: 2(y+1) + 3y = 12 → 5y + 2 = 12 → y = 2.
  • x = 2 + 1 = 3.
• Answer: x = 3, y = 2

[Medium] Circle Geometry

• EN: A circle has a radius of 6 cm. What is the area of the circle? (Use π ≈ 3.14)
• FR: Un cercle a un rayon de 6 cm. Quelle est l'aire du cercle? (Utilise π ≈ 3,14)
• Choices: A) 75.36 cm² B) 100.48 cm² C) 113.04 cm² D) 150.72 cm²
• Hint: Area = π × r² — try r = 4: 3.14 × 16 = 50.24 cm².
• Steps:
  • Area = π × r².
  • Area = 3.14 × 6² = 3.14 × 36 = 113.04 cm².
  • So the area is 113.04 cm².
• Answer: 113.04 cm²

[Medium] Volume of a Cone

• EN: A cone has a radius of 4 cm and height of 9 cm. What is its volume? (Use π ≈ 3.14)
• FR: Un cône a un rayon de 4 cm et une hauteur de 9 cm. Quel est son volume? (Utilise π ≈ 3,14)
• Choices: A) 100.48 cm³ B) 150.72 cm³ C) 175.84 cm³ D) 200.96 cm³
• Hint: V = (1/3)πr²h — try r=3, h=6: (1/3)×3.14×9×6=56.52 cm³.
• Steps:
  • V = (1/3) × 3.14 × 4² × 9.
  • = (1/3) × 3.14 × 16 × 9.
  • = (1/3) × 452.16 = 150.72 cm³.
• Answer: 150.72 cm³

[Hard] Quadratic Formula

• EN: Solve using the quadratic formula: x² − 5x + 4 = 0.
• FR: Résous en utilisant la formule quadratique: x² − 5x + 4 = 0.
• Choices: A) x = 1 and x = 4 B) x = 2 and x = 3 C) x = 4 and x = 5 D) x = 1 and x = 5
• Hint: x = [−b ± √(b²−4ac)] ÷ (2a) — try x²−3x+2=0: discriminant=9−8=1, x=(3±1)/2, so x=2 or x=1.
• Steps:
  • a=1, b=−5, c=4.
  • Discriminant: (−5)²−4(1)(4) = 25−16 = 9.
  • x = (5 ± 3)/2 → x = 4 or x = 1.
• Answer: x = 1 and x = 4

[Hard] Trigonometry — Sine Law

• EN: In a triangle, angle A = 30°, angle B = 60°, and side a = 8 cm (opposite to A). Find the length of side b (opposite to B). (Use sin 30° = 0.5, sin 60° ≈ 0.866)
• FR: Dans un triangle, l'angle A = 30°, l'angle B = 60°, et le côté a = 8 cm (opposé à A). Trouve la longueur du côté b (opposé à B). (Utilise sin 30° = 0,5, sin 60° ≈ 0,866)
• Choices: A) 11.86 cm B) 13.86 cm C) 15.86 cm D) 17.86 cm
• Hint: Sine Law: a/sin(A) = b/sin(B) — try a=6, angle A=30°, angle B=45°, sin45°≈0.707: b=6×0.707/0.5=8.48.
• Steps:
  • a/sin(A) = b/sin(B).
  • 8/0.5 = b/0.866.
  • b = 16 × 0.866 = 13.856 ≈ 13.86 cm.
• Answer: 13.86 cm

[Easy] Evaluating a Function

• EN: If f(x) = 3x² − 2, what is f(3)?
• FR: Si f(x) = 3x² − 2, combien vaut f(3)?
• Choices: A) 21 B) 23 C) 25 D) 27
• Hint: Substitute x = 3 and evaluate — try f(2) in f(x)=4x²−1: 4(4)−1=15.
• Steps:
  • f(3) = 3(3)² − 2.
  • = 3 × 9 − 2 = 27 − 2 = 25.
  • So f(3) = 25.
• Answer: 25

[Easy] Compound Interest

• EN: $1000 is invested at 5% per year, compounded annually. What is the amount after 2 years?
• FR: 1000 $ sont investis à 5% par an, composé annuellement. Quel est le montant après 2 ans?
• Choices: A) $1050.00 B) $1100.00 C) $1102.50 D) $1105.00
• Hint: Use A = P(1 + r)ⁿ — try $500 at 4% for 2 years: 500×1.04²=500×1.0816=$540.80.
• Steps:
  • A = 1000 × (1.05)².
  • (1.05)² = 1.1025.
  • A = 1000 × 1.1025 = $1102.50.
• Answer: $1102.50

[Easy] Arithmetic Sequence

• EN: The first term of an arithmetic sequence is 7 and the common difference is 4. What is the 5th term?
• FR: Le premier terme d'une suite arithmétique est 7 et la raison est 4. Quel est le 5e terme?
• Choices: A) 19 B) 21 C) 23 D) 27
• Hint: Use tₙ = t₁ + (n−1)d — try t₁=2, d=3, find t₄: 2 + 3×3 = 11.
• Steps:
  • t₅ = 7 + (5−1) × 4.
  • = 7 + 4 × 4 = 7 + 16 = 23.
  • So the 5th term is 23.
• Answer: 23

[Easy] Logarithm Intro

• EN: What is log₂(16)?
• FR: Combien vaut log₂(16)?
• Choices: A) 2 B) 3 C) 4 D) 8
• Hint: Ask "2 to the power of what gives 16?" — try log₂(8): 2³=8, so the answer is 3.
• Steps:
  • 2? = 16.
  • 2¹ = 2, 2² = 4, 2³ = 8, 2⁴ = 16.
  • So log₂(16) = 4.
• Answer: 4

[Medium] Exponential Function

• EN: A bacteria culture doubles every hour. Starting with 50 bacteria, how many will there be after 4 hours?
• FR: Une culture bactérienne double chaque heure. En commençant avec 50 bactéries, combien y en aura-t-il après 4 heures?
• Choices: A) 400 bacteria B) 600 bacteria C) 800 bacteria D) 1000 bacteria
• Hint: Use f(t) = a × 2ᵗ — try starting with 30 after 3 hours: 30 × 2³ = 30 × 8 = 240.
• Steps:
  • f(4) = 50 × 2⁴.
  • 2⁴ = 16.
  • f(4) = 50 × 16 = 800 bacteria.
• Answer: 800 bacteria

[Medium] Trigonometric Identity

• EN: Simplify: sin²(x) + cos²(x).
• FR: Simplifie: sin²(x) + cos²(x).
• Choices: A) 0 B) 1 C) 2 D) sin(x)
• Hint: This is a fundamental Pythagorean identity — think about the unit circle where the sum of squares of coordinates is always the radius squared.
• Steps:
  • sin²(x) + cos²(x) is the Pythagorean identity.
  • This identity always equals 1.
  • So the simplified answer is 1.
• Answer: 1

[Medium] Geometric Series Sum

• EN: What is the sum of the geometric series: 3 + 6 + 12 + 24 + 48?
• FR: Quelle est la somme de la suite géométrique: 3 + 6 + 12 + 24 + 48?
• Choices: A) 81 B) 93 C) 99 D) 105
• Hint: Use Sₙ = a(rⁿ − 1)/(r − 1) — try 2 + 4 + 8 with r=2, n=3: 2(2³−1)/(2−1)=2×7=14.
• Steps:
  • a = 3, r = 2, n = 5.
  • S₅ = 3(2⁵ − 1)/(2 − 1) = 3(32 − 1)/1 = 3 × 31 = 93.
  • So the sum is 93.
• Answer: 93

[Medium] Financial Math — Annuity

• EN: A student deposits $200 at the end of each year into an account earning 4% annually. What is the approximate total after 3 years?
• FR: Un étudiant dépose 200 $ à la fin de chaque année dans un compte rapportant 4% par an. Quel est le total approximatif après 3 ans?
• Choices: A) $600.00 B) $624.32 C) $638.70 D) $648.00
• Hint: Future value of annuity: each payment earns interest for remaining years — year 1 payment earns interest twice, year 2 once, year 3 none; then add them up.
• Steps:
  • Year 1 deposit grows: 200 × (1.04)² = 200 × 1.0816 = $216.32.
  • Year 2 deposit grows: 200 × 1.04 = $208.00.
  • Year 3 deposit: $200.00.
  • Total: $216.32 + $208.00 + $200.00 = $624.32.
• Answer: $624.32

[Hard] Solving a Logarithmic Equation

• EN: Solve for x: log₃(x + 1) = 3.
• FR: Résous pour x: log₃(x + 1) = 3.
• Choices: A) x = 24 B) x = 26 C) x = 28 D) x = 30
• Hint: Convert to exponential form: log_b(a) = c means b^c = a — try log₂(x) = 4: 2⁴ = 16, so x = 16.
• Steps:
  • log₃(x + 1) = 3 means 3³ = x + 1.
  • 27 = x + 1.
  • x = 26.
• Answer: x = 26

[Hard] Quadratic Function — Vertex

• EN: Find the vertex of the parabola y = x² − 8x + 15.
• FR: Trouve le sommet de la parabole y = x² − 8x + 15.
• Choices: A) (3, 0) B) (4, −1) C) (5, 0) D) (6, 3)
• Hint: Complete the square or use x = −b/(2a) for the x-coordinate — try y=x²−4x+3: x=2, y=4−8+3=−1, vertex (2,−1).
• Steps:
  • x-coordinate: x = −(−8)/(2×1) = 8/2 = 4.
  • y-coordinate: y = 4² − 8(4) + 15 = 16 − 32 + 15 = −1.
  • Vertex is (4, −1).
• Answer: (4, −1)

[Easy] Permutations

• EN: In how many ways can 4 students be arranged in a row from a group of 6?
• FR: De combien de façons peut-on arranger 4 élèves en rangée parmi un groupe de 6?
• Choices: A) 120 B) 240 C) 360 D) 480
• Hint: Use P(n,r) = n!/(n−r)! — try P(5,2): 5×4=20.
• Steps:
  • P(6,4) = 6 × 5 × 4 × 3.
  • = 30 × 12 = 360.
  • So there are 360 ways.
• Answer: 360

[Easy] Polynomial Evaluation

• EN: If p(x) = x³ − 2x² + 4, what is p(2)?
• FR: Si p(x) = x³ − 2x² + 4, combien vaut p(2)?
• Choices: A) 2 B) 4 C) 6 D) 8
• Hint: Substitute x = 2 and evaluate step by step — try p(x)=x²−x+3 at x=2: 4−2+3=5.
• Steps:
  • p(2) = 2³ − 2(2²) + 4.
  • = 8 − 2(4) + 4 = 8 − 8 + 4 = 4.
  • So p(2) = 4.
• Answer: 4

[Easy] Combinations

• EN: How many ways can a committee of 3 be chosen from 7 students?
• FR: De combien de façons peut-on choisir un comité de 3 élèves parmi 7?
• Choices: A) 21 B) 35 C) 42 D) 70
• Hint: Use C(n,r) = n!/[r!(n−r)!] — try C(5,2): 5!/(2!×3!)=10.
• Steps:
  • C(7,3) = 7!/(3! × 4!) = (7×6×5)/(3×2×1).
  • = 210/6 = 35.
  • So there are 35 ways.
• Answer: 35

[Easy] Derivative — Power Rule

• EN: What is the derivative of f(x) = 4x³?
• FR: Quelle est la dérivée de f(x) = 4x³?
• Choices: A) 4x² B) 8x² C) 12x² D) 16x²
• Hint: Power rule: bring down the exponent, multiply, reduce the power by 1 — try f(x)=3x²: f'(x)=6x.
• Steps:
  • Bring down the exponent: 3.
  • Multiply: 4 × 3 = 12.
  • Reduce power: x³⁻¹ = x².
  • f'(x) = 12x².
• Answer: 12x²

[Medium] Rational Function — Asymptotes

• EN: What is the vertical asymptote of f(x) = (x + 3)/(x − 5)?
• FR: Quelle est l'asymptote verticale de f(x) = (x + 3)/(x − 5)?
• Choices: A) x = −5 B) x = −3 C) x = 3 D) x = 5
• Hint: Set the denominator equal to zero to find the vertical asymptote — try f(x)=1/(x−2): denominator x−2=0 gives x=2.
• Steps:
  • Set the denominator to zero: x − 5 = 0.
  • x = 5.
  • So the vertical asymptote is x = 5.
• Answer: x = 5

[Medium] Probability Distribution

• EN: A fair die is rolled. Let X be the number shown. What is the expected value E(X)?
• FR: On lance un dé équitable. Soit X le nombre affiché. Quelle est l'espérance E(X)?
• Choices: A) 2.5 B) 3.0 C) 3.5 D) 4.0
• Hint: E(X) = sum of (value × probability) for each outcome — try a coin: E=0×0.5+1×0.5=0.5.
• Steps:
  • E(X) = (1+2+3+4+5+6)/6.
  • = 21/6 = 3.5.
  • So E(X) = 3.5.
• Answer: 3.5

[Medium] Derivative — Rate of Change

• EN: A ball's height is h(t) = −5t² + 20t. What is the instantaneous rate of change (velocity) at t = 2?
• FR: La hauteur d'une balle est h(t) = −5t² + 20t. Quel est le taux de variation instantané (vitesse) à t = 2?
• Choices: A) 0 m/s B) 5 m/s C) 10 m/s D) 20 m/s
• Hint: Find h'(t) using the power rule, then substitute t = 2 — try h(t)=−4t²+16t: h'(t)=−8t+16, at t=1: h'(1)=8.
• Steps:
  • h'(t) = −10t + 20.
  • h'(2) = −10(2) + 20 = −20 + 20 = 0.
  • So the velocity at t = 2 is 0 m/s.
• Answer: 0 m/s

[Medium] Vectors

• EN: Vector u = (3, 4). What is the magnitude of u?
• FR: Le vecteur u = (3, 4). Quelle est la magnitude de u?
• Choices: A) 4 B) 5 C) 6 D) 7
• Hint: Magnitude = √(x² + y²) — try vector (6, 8): √(36+64) = √100 = 10.
• Steps:
  • |u| = √(3² + 4²).
  • = √(9 + 16) = √25 = 5.
  • So the magnitude is 5.
• Answer: 5

[Hard] Binomial Probability

• EN: A student randomly guesses on 5 multiple-choice questions, each with 4 choices. What is the probability of getting exactly 2 correct? (Round to 3 decimal places)
• FR: Un élève devine au hasard 5 questions à choix multiples, chacune avec 4 choix. Quelle est la probabilité d'en réussir exactement 2? (Arrondi à 3 décimales)
• Choices: A) 0.264 B) 0.316 C) 0.332 D) 0.360
• Hint: Use P(X=k) = C(n,k) × pᵏ × (1−p)ⁿ⁻ᵏ — try n=3, k=1, p=0.5: C(3,1)×0.5×0.25=0.375.
• Steps:
  • p = 1/4 = 0.25, n = 5, k = 2.
  • C(5,2) = 10.
  • P = 10 × (0.25)² × (0.75)³ = 10 × 0.0625 × 0.421875 = 0.2637 ≈ 0.264.
• Answer: 0.264

[Hard] Trigonometric Equation

• EN: Solve for x in [0°, 360°]: 2sin²(x) − sin(x) − 1 = 0.
• FR: Résous pour x dans [0°, 360°]: 2sin²(x) − sin(x) − 1 = 0.
• Choices: A) x = 30°, 90°, and 330° B) x = 90°, 210°, and 330° C) x = 60°, 180°, and 300° D) x = 45°, 225°, and 270°
• Hint: Treat it as a quadratic in sin(x) — try 2u²−u−1=0 where u=sin(x): factor to (2u+1)(u−1)=0, then find angles.
• Steps:
  • Let u = sin(x): 2u² − u − 1 = 0.
  • Factor: (2u + 1)(u − 1) = 0.
  • u = −1/2 or u = 1.
  • sin(x) = −1/2 → x = 210° or x = 330°; sin(x) = 1 → x = 90°.
  • Solutions: x = 90°, 210°, and 330°.
• Answer: x = 90°, 210°, and 330°