Daily Math — 2026-08-16

[Easy] Counting Apples

• EN: Mia has 7 apples and picks 5 more. How many apples does she have in all?
• FR: Mia a 7 pommes et en cueille 5 de plus. Combien de pommes a-t-elle en tout ?
• Choices: A) 10 apples B) 11 apples C) 12 apples D) 13 apples
• Hint: To add, count on from the bigger number — try 6 + 3 by starting at 6 and counting up 3 more.
• Steps:
  • Start at 7 and count on 5 more: 8, 9, 10, 11, 12.
  • So Mia has 12 apples in all.
• Answer: 12 apples

[Easy] Skip Count by 2s

• EN: Count by 2s. What number comes after 8?
• FR: Compte par bonds de 2. Quel nombre vient après 8 ?
• Choices: A) 9 B) 10 C) 11 D) 12
• Hint: When counting by 2s, add 2 each time — for example, after 4 comes 6.
• Steps:
  • Skip counting by 2s goes: 2, 4, 6, 8, then add 2 more.
  • 8 + 2 = 10, so the next number is 10.
• Answer: 10

[Easy] Comparing Numbers

• EN: Which number is greater, 14 or 9?
• FR: Quel nombre est plus grand, 14 ou 9 ?
• Choices: A) 9 B) 14 C) They are equal D) 11
• Hint: The number with more tens is always bigger — for example, 12 is greater than 7 because 12 has a ten.
• Steps:
  • 14 has 1 ten and 4 ones; 9 has 0 tens and 9 ones.
  • A number with more tens is bigger, so 14 is greater than 9.
• Answer: 14

[Easy] Coin Recognition

• EN: Liam has one dime. How many cents does he have?
• FR: Liam a une pièce de 10 cents. Combien de cents a-t-il ?
• Choices: A) 1 cent B) 5 cents C) 10 cents D) 25 cents
• Hint: A nickel is worth 5 cents; a dime is worth more — think of a penny as 1 cent.
• Steps:
  • A penny = 1 cent, a nickel = 5 cents, a dime = 10 cents.
  • So one dime equals 10 cents.
• Answer: 10 cents

[Medium] Subtraction within 20

• EN: There are 16 students in class. 8 go outside for recess. How many are still in the classroom?
• FR: Il y a 16 élèves en classe. 8 vont dehors pour la récréation. Combien restent-ils dans la classe ?
• Choices: A) 6 students B) 7 students C) 8 students D) 9 students
• Hint: To subtract, think of what you add to the smaller number to get the bigger one — for example, 10 − 4 = 6 because 4 + 6 = 10.
• Steps:
  • Start at 16 and count back 8: 15, 14, 13, 12, 11, 10, 9, 8.
  • 16 − 8 = 8, so 8 students are still in the classroom.
• Answer: 8 students

[Medium] Skip Count by 5s

• EN: Count by 5s. What is the missing number? 5, 10, 15, ___, 25
• FR: Compte par bonds de 5. Quel est le nombre manquant ? 5, 10, 15, ___, 25
• Choices: A) 16 B) 18 C) 20 D) 22
• Hint: When counting by 5s, add 5 each time — for example, after 10 comes 15.
• Steps:
  • The pattern adds 5 each time: 5, 10, 15, then 15 + 5 = 20.
  • The missing number is 20.
• Answer: 20

[Medium] Addition Story

• EN: Jake has 9 crayons and finds 6 more in his backpack. How many crayons does he have now?
• FR: Jake a 9 crayons et en trouve 6 autres dans son sac à dos. Combien de crayons a-t-il maintenant ?
• Choices: A) 13 crayons B) 14 crayons C) 15 crayons D) 16 crayons
• Hint: Start at the bigger number and count on — for example, 8 + 5: start at 8, count up 5 to get 13.
• Steps:
  • Start at 9 and count on 6 more: 10, 11, 12, 13, 14, 15.
  • 9 + 6 = 15, so Jake has 15 crayons.
• Answer: 15 crayons

[Medium] Counting to 100

• EN: What number comes just before 50?
• FR: Quel nombre vient juste avant 50 ?
• Choices: A) 47 B) 48 C) 49 D) 51
• Hint: The number just before any number is one less — for example, the number before 30 is 29.
• Steps:
  • One less than 50 means 50 − 1.
  • 50 − 1 = 49, so the number just before 50 is 49.
• Answer: 49

[Hard] Two-Step Addition

• EN: Sofia has 5 red buttons, 4 blue buttons, and 7 green buttons. How many buttons does she have in all?
• FR: Sofia a 5 boutons rouges, 4 boutons bleus et 7 boutons verts. Combien de boutons a-t-elle en tout ?
• Choices: A) 14 buttons B) 15 buttons C) 16 buttons D) 17 buttons
• Hint: Add the first two numbers together, then add the third — for example, 3 + 2 + 4: first 3 + 2 = 5, then 5 + 4 = 9.
• Steps:
  • First add the red and blue: 5 + 4 = 9.
  • Then add the green buttons: 9 + 7 = 16.
  • Sofia has 16 buttons in all.
• Answer: 16 buttons

[Hard] Coins Adding Up

• EN: Ava has 1 dime and 2 nickels. How many cents does she have in total?
• FR: Ava a 1 pièce de 10 cents et 2 pièces de 5 cents. Combien de cents a-t-elle en tout ?
• Choices: A) 15 cents B) 17 cents C) 20 cents D) 25 cents
• Hint: Find the value of each coin type first, then add them — for example, 1 dime + 1 nickel = 10 + 5 = 15 cents.
• Steps:
  • 1 dime = 10 cents; 2 nickels = 5 + 5 = 10 cents.
  • Total: 10 + 10 = 20 cents.
• Answer: 20 cents

[Easy] Addition within 100

• EN: There are 34 kids at the park. Then 25 more arrive. How many kids are at the park now?
• FR: Il y a 34 enfants au parc. Puis 25 autres arrivent. Combien d'enfants sont au parc maintenant ?
• Choices: A) 57 kids B) 58 kids C) 59 kids D) 60 kids
• Hint: Add the tens first, then the ones — for example, 21 + 36: add 20 + 30 = 50, then 1 + 6 = 7, total 57.
• Steps:
  • Tens: 30 + 20 = 50; Ones: 4 + 5 = 9.
  • 50 + 9 = 59 kids at the park.
• Answer: 59 kids

[Easy] Telling Time

• EN: The clock shows 7 o'clock. What time is it?
• FR: L'horloge indique 7 heures. Quelle heure est-il ?
• Choices: A) 6:00 B) 7:00 C) 7:30 D) 8:00
• Hint: When the minute hand points to 12 and the hour hand points to a number, that is o'clock time — for example, hour hand at 3 means 3:00.
• Steps:
  • The minute hand at 12 means it is exactly on the hour.
  • The hour hand at 7 means it is 7:00.
• Answer: 7:00

[Easy] Measuring Length

• EN: A pencil is 15 cm long and an eraser is 3 cm long. How much longer is the pencil than the eraser?
• FR: Un crayon mesure 15 cm et une gomme mesure 3 cm. De combien le crayon est-il plus long que la gomme ?
• Choices: A) 10 cm B) 11 cm C) 12 cm D) 13 cm
• Hint: To find how much longer, subtract the shorter length from the longer one — for example, 20 cm − 8 cm = 12 cm.
• Steps:
  • Subtract the eraser length from the pencil length: 15 − 3 = 12.
  • The pencil is 12 cm longer than the eraser.
• Answer: 12 cm

[Easy] Counting Coins

• EN: Noah has 3 nickels. How much money does he have?
• FR: Noah a 3 pièces de 5 cents. Combien d'argent a-t-il ?
• Choices: A) 10 cents B) 12 cents C) 15 cents D) 20 cents
• Hint: Count by 5s for each nickel — for example, 2 nickels = 5, 10 = 10 cents.
• Steps:
  • Each nickel is 5 cents; count by 5s: 5, 10, 15.
  • 3 nickels = 15 cents.
• Answer: 15 cents

[Medium] Subtraction within 100

• EN: A store had 82 hockey cards. It sold 47 of them. How many cards are left?
• FR: Un magasin avait 82 cartes de hockey. Il en a vendu 47. Combien de cartes reste-t-il ?
• Choices: A) 33 cards B) 35 cards C) 37 cards D) 39 cards
• Hint: Subtract tens then ones, regrouping if needed — for example, 60 − 28: borrow to get 50 − 20 = 30 and 10 − 8 = 2, total 32.
• Steps:
  • 82 − 47: regroup 82 as 70 + 12. Then 70 − 40 = 30 and 12 − 7 = 5.
  • 30 + 5 = 35 cards remaining.
• Answer: 35 cards

[Medium] Telling Time — Half Hour

• EN: It is half past 3. What time does the clock show?
• FR: Il est 3 heures et demie. Quelle heure l'horloge indique-t-elle ?
• Choices: A) 3:00 B) 3:15 C) 3:30 D) 4:00
• Hint: Half past means 30 minutes after the hour — for example, half past 6 is 6:30.
• Steps:
  • Half past 3 means 30 minutes after 3 o'clock.
  • That is written as 3:30.
• Answer: 3:30

[Medium] Simple Patterns

• EN: Look at the pattern: 2, 4, 6, 8, 10, ___. What is the next number?
• FR: Observe le modèle : 2, 4, 6, 8, 10, ___. Quel est le prochain nombre ?
• Choices: A) 11 B) 12 C) 13 D) 14
• Hint: Find what is being added each time — for example, 3, 6, 9 adds 3 each time, so the next is 12.
• Steps:
  • Each number increases by 2: 2, 4, 6, 8, 10, then 10 + 2 = 12.
  • The next number is 12.
• Answer: 12

[Medium] Coins to $1

• EN: Emma has 3 quarters. How many cents does she have?
• FR: Emma a 3 pièces de 25 cents. Combien de cents a-t-elle ?
• Choices: A) 60 cents B) 65 cents C) 70 cents D) 75 cents
• Hint: Count by 25s for each quarter — for example, 2 quarters = 25, 50 = 50 cents.
• Steps:
  • Each quarter = 25 cents; count: 25, 50, 75.
  • 3 quarters = 75 cents.
• Answer: 75 cents

[Hard] Two-Step Problem

• EN: Olivia had 56 stickers. She gave 18 to her friend and then bought 12 more. How many stickers does Olivia have now?
• FR: Olivia avait 56 autocollants. Elle en a donné 18 à son amie, puis en a acheté 12 autres. Combien d'autocollants Olivia a-t-elle maintenant ?
• Choices: A) 48 stickers B) 49 stickers C) 50 stickers D) 52 stickers
• Hint: Do one step at a time — for example, start with 40, subtract 10 to get 30, then add 5 to get 35.
• Steps:
  • Step 1: 56 − 18 = 38.
  • Step 2: 38 + 12 = 50.
  • Olivia has 50 stickers now.
• Answer: 50 stickers

[Hard] Measurement Word Problem

• EN: A garden is 40 m long. Farmer Jean plants seeds every 8 m. How many planting spots does he have along the garden?
• FR: Un jardin mesure 40 m de long. Le fermier Jean plante des graines tous les 8 m. Combien d'emplacements de plantation a-t-il le long du jardin ?
• Choices: A) 4 spots B) 5 spots C) 6 spots D) 7 spots
• Hint: Divide the total length by the spacing — for example, 30 m ÷ 6 m = 5 spots.
• Steps:
  • Divide the total length by the spacing between seeds: 40 ÷ 8 = 5.
  • Farmer Jean has 5 planting spots along the garden.
• Answer: 5 spots

[Easy] Multiplication — Times 5

• EN: What is 5 × 6?
• FR: Combien font 5 × 6 ?
• Choices: A) 25 B) 30 C) 35 D) 40
• Hint: Count by 5s six times — for example, 5 × 4 = 5, 10, 15, 20.
• Steps:
  • Count by 5s: 5, 10, 15, 20, 25, 30.
  • 5 × 6 = 30.
• Answer: 30

[Easy] Basic Division

• EN: Share 12 cookies equally among 3 friends. How many cookies does each friend get?
• FR: Partage 12 biscuits également entre 3 amis. Combien de biscuits chaque ami reçoit-il ?
• Choices: A) 3 cookies B) 4 cookies C) 5 cookies D) 6 cookies
• Hint: Division means splitting into equal groups — for example, 10 ÷ 2 = 5 because 2 × 5 = 10.
• Steps:
  • 12 ÷ 3: think what times 3 equals 12. 3 × 4 = 12.
  • Each friend gets 4 cookies.
• Answer: 4 cookies

[Easy] Fractions — One Half

• EN: A pizza is cut into 2 equal slices. Theo eats 1 slice. What fraction of the pizza did Theo eat?
• FR: Une pizza est coupée en 2 morceaux égaux. Theo mange 1 morceau. Quelle fraction de la pizza Theo a-t-il mangée ?
• Choices: A) 1/4 B) 1/3 C) 1/2 D) 2/3
• Hint: A fraction shows parts out of a whole — for example, if a bar is cut into 4 parts and you take 1, that is 1/4.
• Steps:
  • The pizza has 2 equal parts total; Theo ate 1 of them.
  • That is 1 out of 2, written as 1/2.
• Answer: 1/2

[Easy] Perimeter

• EN: A square has sides that are each 4 cm long. What is the perimeter of the square?
• FR: Un carré a des côtés de 4 cm chacun. Quel est le périmètre du carré ?
• Choices: A) 12 cm B) 14 cm C) 16 cm D) 20 cm
• Hint: Perimeter is the total distance around a shape — for example, a square with sides of 3 cm has a perimeter of 3 + 3 + 3 + 3 = 12 cm.
• Steps:
  • A square has 4 equal sides: 4 + 4 + 4 + 4 = 16 cm.
  • The perimeter is 16 cm.
• Answer: 16 cm

[Medium] Multiplication — Times 4

• EN: A hockey team has 4 players on the ice at a time (not counting the goalie). If there are 7 shifts, how many player-spots are filled in total?
• FR: Une équipe de hockey a 4 joueurs sur la glace à la fois (sans compter le gardien). S'il y a 7 quarts, combien de places de joueur sont remplies au total ?
• Choices: A) 24 B) 26 C) 28 D) 32
• Hint: Multiply the number of players per shift by the number of shifts — for example, 4 players × 5 shifts = 20 player-spots.
• Steps:
  • 4 players × 7 shifts = 28 player-spots.
  • The answer is 28.
• Answer: 28

[Medium] Reading a Graph

• EN: A bar graph shows that 8 students like apples, 5 like bananas, and 3 like oranges. How many students were surveyed in total?
• FR: Un diagramme à barres montre que 8 élèves aiment les pommes, 5 aiment les bananes et 3 aiment les oranges. Combien d'élèves ont été interrogés au total ?
• Choices: A) 13 students B) 14 students C) 15 students D) 16 students
• Hint: Add up all the groups to get the total — for example, 6 + 4 + 2 = 12 students.
• Steps:
  • Add all three groups: 8 + 5 + 3 = 16.
  • 16 students were surveyed in total.
• Answer: 16 students

[Medium] Fractions — One Quarter

• EN: A ribbon is 8 cm long. Camille cuts off 1/4 of it. How many centimetres did she cut?
• FR: Un ruban mesure 8 cm de long. Camille en coupe 1/4. Combien de centimètres a-t-elle coupé ?
• Choices: A) 1 cm B) 2 cm C) 3 cm D) 4 cm
• Hint: To find 1/4 of a number, divide it by 4 — for example, 1/4 of 12 = 12 ÷ 4 = 3.
• Steps:
  • 1/4 of 8 means 8 ÷ 4 = 2.
  • Camille cut 2 cm of ribbon.
• Answer: 2 cm

[Medium] Division

• EN: A bag holds 20 marbles. Benoit puts the same number in 4 smaller bags. How many marbles go in each bag?
• FR: Un sac contient 20 billes. Benoît en met le même nombre dans 4 petits sacs. Combien de billes vont dans chaque sac ?
• Choices: A) 4 marbles B) 5 marbles C) 6 marbles D) 8 marbles
• Hint: Division splits a group equally — for example, 18 ÷ 3: think 3 × ? = 18, answer is 6.
• Steps:
  • 20 ÷ 4: think 4 × ? = 20. 4 × 5 = 20.
  • Each bag gets 5 marbles.
• Answer: 5 marbles

[Hard] Perimeter Word Problem

• EN: A rectangular schoolyard is 12 m long and 7 m wide. What is its perimeter?
• FR: Une cour d'école rectangulaire mesure 12 m de long et 7 m de large. Quel est son périmètre ?
• Choices: A) 34 m B) 36 m C) 38 m D) 40 m
• Hint: The perimeter of a rectangle is length + width + length + width — for example, a 5 m × 3 m rectangle has perimeter 5 + 3 + 5 + 3 = 16 m.
• Steps:
  • Perimeter = 12 + 7 + 12 + 7.
  • 12 + 7 = 19, and 19 + 19 = 38 m.
• Answer: 38 m

[Hard] Multi-Step Multiplication

• EN: Each row in a cinema has 10 seats. There are 5 rows for students and 3 rows for parents. How many seats are there in total?
• FR: Chaque rangée dans un cinéma a 10 sièges. Il y a 5 rangées pour les élèves et 3 rangées pour les parents. Combien y a-t-il de sièges en tout ?
• Choices: A) 70 seats B) 75 seats C) 80 seats D) 85 seats
• Hint: Find seats in each section separately, then add — for example, 10 × 4 = 40 student seats plus 10 × 2 = 20 parent seats gives 60 total.
• Steps:
  • Student seats: 10 × 5 = 50; Parent seats: 10 × 3 = 30.
  • Total: 50 + 30 = 80 seats.
• Answer: 80 seats

[Easy] Multiplication to 9×9

• EN: What is 8 × 7?
• FR: Combien font 8 × 7 ?
• Choices: A) 54 B) 56 C) 63 D) 64
• Hint: Think of a related fact — for example, 8 × 6 = 48, then add one more group of 8 to get 56.
• Steps:
  • 8 × 7: use 8 × 6 = 48, then add 8 more.
  • 48 + 8 = 56.
• Answer: 56

[Easy] Decimal Place Value

• EN: In the number 3.47, what digit is in the tenths place?
• FR: Dans le nombre 3,47, quel chiffre est à la position des dixièmes ?
• Choices: A) 3 B) 4 C) 7 D) 0
• Hint: Tenths are right after the decimal point — for example, in 5.62, the 6 is in the tenths place.
• Steps:
  • 3.47: the 3 is ones, the 4 is tenths, the 7 is hundredths.
  • The tenths digit is 4.
• Answer: 4

[Easy] Area of a Rectangle

• EN: A rectangle is 9 cm long and 3 cm wide. What is its area?
• FR: Un rectangle mesure 9 cm de long et 3 cm de large. Quelle est son aire ?
• Choices: A) 24 cm² B) 27 cm² C) 30 cm² D) 36 cm²
• Hint: Area of a rectangle = length × width — for example, a 6 cm × 4 cm rectangle has area 24 cm².
• Steps:
  • Area = 9 × 3 = 27 cm².
  • The area of the rectangle is 27 cm².
• Answer: 27 cm²

[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) 3/4 C) They are equal D) 2/4
• Hint: When denominators are the same, the fraction with the bigger numerator is larger — for example, 5/8 > 3/8.
• Steps:
  • Both fractions have the same denominator (4).
  • 3 > 1, so 3/4 > 1/4.
• Answer: 3/4

[Medium] Long Division with Remainders

• EN: 47 ÷ 5 = ?
• FR: 47 ÷ 5 = ?
• Choices: A) 8 remainder 5 B) 9 remainder 2 C) 9 remainder 3 D) 10 remainder 2
• Hint: Find how many times the divisor fits into the dividend — for example, 23 ÷ 4 = 5 remainder 3 because 4 × 5 = 20 and 23 − 20 = 3.
• Steps:
  • 5 × 9 = 45, which is the closest multiple of 5 below 47.
  • 47 − 45 = 2, so the answer is 9 remainder 2.
• Answer: 9 remainder 2

[Medium] Elapsed Time

• EN: School starts at 8:30 and ends at 3:00. How long is the school day?
• FR: L'école commence à 8 h 30 et se termine à 15 h. Combien de temps dure la journée scolaire ?
• Choices: A) 5 hours 30 minutes B) 6 hours C) 6 hours 30 minutes D) 7 hours
• Hint: Count from start time to end time in steps — for example, from 9:15 to 2:15 is exactly 5 hours.
• Steps:
  • From 8:30 to 9:00 is 30 minutes; from 9:00 to 3:00 is 6 hours.
  • 30 minutes + 6 hours = 6 hours 30 minutes.
• Answer: 6 hours 30 minutes

[Medium] Decimal Operations

• EN: Sophie spent $4.25 on a sandwich and $1.50 on juice at Tim Hortons. How much did she spend in total?
• FR: Sophie a dépensé 4,25 $ pour un sandwich et 1,50 $ pour un jus à Tim Hortons. Combien a-t-elle dépensé en tout ?
• Choices: A) $5.50 B) $5.75 C) $6.25 D) $6.75
• Hint: Line up the decimal points when adding — for example, $3.40 + $2.30 = $5.70.
• Steps:
  • $4.25 + $1.50: add dollars: $4 + $1 = $5; add cents: 25¢ + 50¢ = 75¢.
  • Total = $5.75.
• Answer: $5.75

[Medium] Multi-Step Multiplication

• EN: A box holds 6 rows of cans with 9 cans in each row. How many cans are in 4 boxes?
• FR: Une boîte contient 6 rangées de canettes avec 9 canettes dans chaque rangée. Combien y a-t-il de canettes dans 4 boîtes ?
• Choices: A) 192 cans B) 204 cans C) 216 cans D) 228 cans
• Hint: First find how many cans in one box, then multiply by the number of boxes — for example, 5 rows × 8 cans = 40 per box, and 40 × 3 boxes = 120.
• Steps:
  • Cans per box: 6 × 9 = 54.
  • 4 boxes: 54 × 4 = 216 cans.
• Answer: 216 cans

[Hard] Long Division Word Problem

• EN: A school collected 135 canned goods to share equally among 9 families. How many cans does each family receive?
• FR: Une école a collecté 135 boîtes de conserve à partager également entre 9 familles. Combien de boîtes chaque famille reçoit-elle ?
• Choices: A) 13 cans B) 14 cans C) 15 cans D) 16 cans
• Hint: Divide step by step — for example, 84 ÷ 6: 6 goes into 8 once (6), remainder 2, bring down 4 to get 24, 6 × 4 = 24, answer is 14.
• Steps:
  • 9 × 15 = 135; check: 9 × 10 = 90, 9 × 5 = 45, 90 + 45 = 135. ✓
  • Each family receives 15 cans.
• Answer: 15 cans

[Hard] Combined Area Problem

• EN: A classroom is 8 m long and 6 m wide. A storage closet inside measures 2 m by 3 m. What is the area of the classroom floor excluding the closet?
• FR: Une salle de classe mesure 8 m de long et 6 m de large. Un placard de rangement à l'intérieur mesure 2 m sur 3 m. Quelle est l'aire du plancher de la classe sans le placard ?
• Choices: A) 40 m² B) 42 m² C) 44 m² D) 48 m²
• Hint: Find the large area, find the small area, then subtract — for example, 10 × 5 = 50 minus 2 × 3 = 6 gives 44.
• Steps:
  • Classroom area: 8 × 6 = 48 m².
  • Closet area: 2 × 3 = 6 m².
  • Floor area: 48 − 6 = 42 m².
• Answer: 42 m²

[Easy] Multi-Digit Multiplication

• EN: What is 34 × 6?
• FR: Combien font 34 × 6 ?
• Choices: A) 194 B) 204 C) 208 D) 214
• Hint: Multiply each part separately — for example, 23 × 4: 20 × 4 = 80 and 3 × 4 = 12, total 92.
• Steps:
  • 30 × 6 = 180; 4 × 6 = 24.
  • 180 + 24 = 204.
• Answer: 204

[Easy] Adding Fractions — Like Denominators

• EN: What is 2/7 + 3/7?
• FR: Combien font 2/7 + 3/7 ?
• Choices: A) 4/7 B) 5/7 C) 5/14 D) 6/7
• Hint: When denominators are the same, just add the numerators — for example, 1/5 + 3/5 = 4/5.
• Steps:
  • Add the numerators: 2 + 3 = 5; keep the denominator: 7.
  • 2/7 + 3/7 = 5/7.
• Answer: 5/7

[Easy] Decimal Addition

• EN: Add 3.6 + 2.8.
• FR: Additionne 3,6 + 2,8.
• Choices: A) 5.4 B) 6.2 C) 6.4 D) 7.2
• Hint: Add as whole numbers first, then place the decimal — for example, 1.4 + 2.9 = 4.3.
• Steps:
  • 3.6 + 2.8: add tenths: 6 + 8 = 14, write 4 and carry 1; add ones: 3 + 2 + 1 = 6.
  • 3.6 + 2.8 = 6.4.
• Answer: 6.4

[Easy] Percentage Intro — 50%

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

[Medium] Multi-Digit Division

• EN: 312 ÷ 8 = ?
• FR: 312 ÷ 8 = ?
• Choices: A) 37 B) 38 C) 39 D) 41
• Hint: Use long division step by step — for example, 256 ÷ 8: 8 goes into 25 three times (24), remainder 1, bring down 6 to get 16, 16 ÷ 8 = 2, answer is 32.
• Steps:
  • 8 into 31: 8 × 3 = 24, remainder 7. Bring down 2 to get 72.
  • 8 × 9 = 72, remainder 0. Answer: 39.
• Answer: 39

[Medium] Volume of 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) 55 cm³ C) 60 cm³ D) 65 cm³
• Hint: Volume = length × width × height — for example, a box 6 × 2 × 4 has volume 48 cm³.
• Steps:
  • Volume = 5 × 4 × 3.
  • 5 × 4 = 20; 20 × 3 = 60 cm³.
• Answer: 60 cm³

[Medium] Subtracting Fractions — Like Denominators

• EN: What is 6/9 − 2/9?
• FR: Combien font 6/9 − 2/9 ?
• Choices: A) 3/9 B) 4/9 C) 5/9 D) 4/18
• Hint: Subtract the numerators when denominators match — for example, 7/10 − 3/10 = 4/10.
• Steps:
  • 6 − 2 = 4; keep the denominator 9.
  • 6/9 − 2/9 = 4/9.
• Answer: 4/9

[Medium] Percentage — 25% and 10%

• EN: A ski jacket costs $120. It is on sale for 25% off. How much is the discount?
• FR: Une veste de ski coûte 120 $. Elle est en solde à 25 % de réduction. Quel est le montant de la réduction ?
• Choices: A) $20 B) $25 C) $30 D) $35
• Hint: 25% is one quarter — for example, 25% of $80 = $80 ÷ 4 = $20.
• Steps:
  • 25% of $120 = $120 ÷ 4 = $30.
  • The discount is $30.
• Answer: $30

[Hard] Multi-Step Decimal Problem

• EN: Marcus earns $8.50 per hour shovelling snow. He works 6 hours on Saturday and 4 hours on Sunday. How much does he earn in total?
• FR: Marcus gagne 8,50 $ de l'heure à pelleter la neige. Il travaille 6 heures samedi et 4 heures dimanche. Combien gagne-t-il en tout ?
• Choices: A) $80.00 B) $85.00 C) $90.00 D) $95.00
• Hint: Find total hours first, then multiply by the hourly rate — for example, $6.00/hour × (3 + 2) hours = $6.00 × 5 = $30.00.
• Steps:
  • Total hours: 6 + 4 = 10 hours.
  • 10 × $8.50 = $85.00.
• Answer: $85.00

[Hard] Volume and Fraction Combined

• EN: A storage bin has a volume of 72 cm³. Isabelle fills 1/3 of it with sand. What volume of sand is in the bin?
• FR: Un bac de rangement a un volume de 72 cm³. Isabelle le remplit au 1/3 avec du sable. Quel volume de sable est dans le bac ?
• Choices: A) 18 cm³ B) 24 cm³ C) 27 cm³ D) 36 cm³
• Hint: To find a fraction of a number, divide by the denominator — for example, 1/3 of 90 = 90 ÷ 3 = 30.
• Steps:
  • 1/3 of 72 = 72 ÷ 3 = 24 cm³.
  • Isabelle has 24 cm³ of sand in the bin.
• Answer: 24 cm³

[Easy] Percent of a Number

• EN: What is 30% of 50?
• FR: Combien font 30 % de 50 ?
• Choices: A) 10 B) 12 C) 15 D) 20
• Hint: Convert percent to a decimal and multiply — for example, 20% of 40 = 0.20 × 40 = 8.
• Steps:
  • 30% = 0.30; 0.30 × 50 = 15.
  • 30% of 50 is 15.
• Answer: 15

[Easy] Integers Intro

• EN: What is the opposite of −7?
• FR: Quel est l'opposé de −7 ?
• Choices: A) −8 B) −7 C) 0 D) 7
• Hint: Opposite integers are the same distance from zero but on different sides — for example, the opposite of −3 is 3.
• Steps:
  • The opposite of a negative number is the positive number with the same digits.
  • The opposite of −7 is 7.
• Answer: 7

[Easy] Ratios and Rates

• EN: A recipe uses 2 cups of flour for every 3 cups of oats. What is the ratio of flour to oats?
• FR: Une recette utilise 2 tasses de farine pour chaque 3 tasses d'avoine. Quel est le rapport farine:avoine ?
• Choices: A) 1:3 B) 2:3 C) 3:2 D) 2:5
• Hint: Write the ratio in the order stated in the question — for example, 4 red to 5 blue is 4:5.
• Steps:
  • Flour : Oats is stated as 2 cups of flour to 3 cups of oats.
  • The ratio is 2:3.
• Answer: 2:3

[Easy] Simple Algebraic Expression

• EN: Evaluate 3n + 4 when n = 5.
• FR: Évalue 3n + 4 quand n = 5.
• Choices: A) 17 B) 18 C) 19 D) 22
• Hint: Substitute the value and then calculate — for example, 2n + 1 when n = 6: 2(6) + 1 = 13.
• Steps:
  • Replace n with 5: 3(5) + 4 = 15 + 4 = 19.
  • The answer is 19.
• Answer: 19

[Medium] Fraction Multiplication

• EN: What is 2/3 × 3/4?
• FR: Combien font 2/3 × 3/4 ?
• Choices: A) 5/12 B) 6/12 C) 5/7 D) 8/9
• Hint: Multiply numerators together and denominators together — for example, 1/2 × 2/3 = (1×2)/(2×3) = 2/6 = 1/3.
• Steps:
  • Multiply numerators: 2 × 3 = 6. Multiply denominators: 3 × 4 = 12.
  • 6/12 = 1/2, which can also be written as 6/12.
• Answer: 6/12

[Medium] Order of Operations — BEDMAS

• EN: Evaluate: 3 + 4 × 2 − 1
• FR: Évalue : 3 + 4 × 2 − 1
• Choices: A) 10 B) 13 C) 14 D) 15
• Hint: In BEDMAS, multiply before you add or subtract — for example, 5 + 3 × 2 = 5 + 6 = 11.
• Steps:
  • Multiplication first: 4 × 2 = 8.
  • Then left to right: 3 + 8 − 1 = 10.
• Answer: 10

[Medium] Rate Problem

• EN: A car travels 90 km in 2 hours. What is its speed in km per hour?
• FR: Une voiture parcourt 90 km en 2 heures. Quelle est sa vitesse en km par heure ?
• Choices: A) 40 km/h B) 42 km/h C) 45 km/h D) 50 km/h
• Hint: Rate = total amount ÷ number of units — for example, 60 km in 3 hours = 60 ÷ 3 = 20 km/h.
• Steps:
  • Speed = distance ÷ time = 90 ÷ 2 = 45.
  • The car travels at 45 km/h.
• Answer: 45 km/h

[Medium] Fraction Division

• EN: What is 3/4 ÷ 1/2?
• FR: Combien font 3/4 ÷ 1/2 ?
• Choices: A) 3/8 B) 1 C) 3/2 D) 2/3
• Hint: To divide by a fraction, multiply by its reciprocal — for example, 2/5 ÷ 1/3 = 2/5 × 3/1 = 6/5.
• Steps:
  • Flip the divisor: 1/2 becomes 2/1.
  • 3/4 × 2/1 = 6/4 = 3/2.
• Answer: 3/2

[Hard] Percent Problem — Multi-Step

• EN: A loonie costs $1.00. At a school fundraiser, a pack of 24 stickers sells for $6.00. If Priya buys 3 packs and pays with a $20 bill, how much change does she receive?
• FR: Un dollar coûte 1,00 $. Lors d'une levée de fonds scolaire, un paquet de 24 autocollants se vend 6,00 $. Si Priya achète 3 paquets et paie avec un billet de 20 $, combien de monnaie reçoit-elle ?
• Choices: A) $1.00 B) $2.00 C) $3.00 D) $4.00
• Hint: Find the total cost first, then subtract from the amount paid — for example, 2 packs at $5.00 each = $10.00; $20.00 − $10.00 = $10.00 change.
• Steps:
  • 3 packs × $6.00 = $18.00.
  • Change = $20.00 − $18.00 = $2.00.
• Answer: $2.00

[Hard] Integers and Order of Operations

• EN: Evaluate: (−3) + 5 × (−2) − (−4)
• FR: Évalue : (−3) + 5 × (−2) − (−4)
• Choices: A) −9 B) −6 C) −5 D) −3
• Hint: Apply BEDMAS — multiply first, then handle the double negative — for example, 2 + 3 × (−1) − (−5) = 2 − 3 + 5 = 4.
• Steps:
  • Multiply first: 5 × (−2) = −10.
  • Handle the double negative: −(−4) = +4.
  • Combine: −3 + (−10) + 4 = −3 − 10 + 4 = −9.
• Answer: −9

[Easy] Integer Addition

• EN: What is (−8) + 3?
• FR: Combien font (−8) + 3 ?
• Choices: A) −5 B) −4 C) 4 D) 5
• Hint: On a number line, start at −8 and move 3 steps to the right — for example, (−6) + 4 = −2.
• Steps:
  • Start at −8; add 3 means move right 3 steps: −8, −7, −6, −5.
  • (−8) + 3 = −5.
• Answer: −5

[Easy] Percentage — Discount

• EN: A pair of skates costs $80. They are on sale for 10% off. What is the sale price?
• FR: Une paire de patins coûte 80 $. Elle est en solde à 10 % de réduction. Quel est le prix de vente ?
• Choices: A) $68 B) $70 C) $72 D) $75
• Hint: Find 10% of the price and subtract — for example, 10% of $50 = $5, so sale price = $45.
• Steps:
  • 10% of $80 = $80 × 0.10 = $8.
  • Sale price: $80 − $8 = $72.
• Answer: $72

[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 = 8
• Hint: Isolate x by subtracting the same number from both sides — for example, x + 4 = 10 means x = 10 − 4 = 6.
• Steps:
  • Subtract 9 from both sides: x = 15 − 9.
  • x = 6.
• Answer: x = 6

[Easy] Integer Subtraction

• EN: What is 5 − (−3)?
• FR: Combien font 5 − (−3) ?
• Choices: A) 2 B) 7 C) 8 D) 9
• Hint: Subtracting a negative is the same as adding its positive — for example, 4 − (−2) = 4 + 2 = 6.
• Steps:
  • 5 − (−3) = 5 + 3 = 8.
  • The answer is 8.
• Answer: 8

[Medium] Percent — Tax

• EN: A video game costs $50. Provincial tax is 13%. What is the total cost including tax?
• FR: Un jeu vidéo coûte 50 $. La taxe provinciale est de 13 %. Quel est le coût total avec la taxe ?
• Choices: A) $55.50 B) $56.00 C) $56.50 D) $57.00
• Hint: Find the tax amount and add it to the original price — for example, 10% of $60 = $6, total = $66.
• Steps:
  • Tax: 13% of $50 = 0.13 × 50 = $6.50.
  • Total: $50 + $6.50 = $56.50.
• Answer: $56.50

[Medium] Surface Area

• EN: A rectangular box is 5 cm long, 3 cm wide, and 2 cm tall. What is its total surface area?
• FR: Une boîte rectangulaire mesure 5 cm de long, 3 cm de large et 2 cm de haut. Quelle est son aire de surface totale ?
• Choices: A) 58 cm² B) 60 cm² C) 62 cm² D) 64 cm²
• Hint: Surface area of a box = 2(lw + lh + wh) — for example, a 4 × 2 × 1 box: 2(8 + 4 + 2) = 2(14) = 28 cm².
• Steps:
  • lw = 5 × 3 = 15; lh = 5 × 2 = 10; wh = 3 × 2 = 6.
  • Surface area = 2(15 + 10 + 6) = 2(31) = 62 cm².
• Answer: 62 cm²

[Medium] Data — Probability

• EN: A bag contains 3 red marbles, 4 blue marbles, and 3 yellow marbles. What is the probability of picking a blue marble?
• FR: Un sac contient 3 billes rouges, 4 billes bleues et 3 billes jaunes. Quelle est la probabilité de piger une bille bleue ?
• Choices: A) 2/5 B) 3/10 C) 4/10 D) 1/3
• Hint: Probability = favourable outcomes ÷ total outcomes — for example, 2 red out of 8 total = 2/8 = 1/4.
• Steps:
  • Total marbles: 3 + 4 + 3 = 10.
  • P(blue) = 4/10 = 2/5, but 4/10 is the unsimplified form matching the choices.
  • The probability is 4/10.
• Answer: 4/10

[Medium] Integer Multiplication

• EN: What is (−6) × (−4)?
• FR: Combien font (−6) × (−4) ?
• Choices: A) −24 B) −10 C) 10 D) 24
• Hint: A negative times a negative is always positive — for example, (−3) × (−5) = 15.
• Steps:
  • Multiply the numbers: 6 × 4 = 24.
  • Two negatives make a positive: (−6) × (−4) = 24.
• Answer: 24

[Hard] Multi-Step Percent Problem

• EN: At a farmers' market, Camille bought 3 kg of apples at $2.40/kg and 2 kg of carrots at $1.80/kg. She paid with a $20 bill. How much change did she receive?
• FR: Au marché fermier, Camille a acheté 3 kg de pommes à 2,40 $/kg et 2 kg de carottes à 1,80 $/kg. Elle a payé avec un billet de 20 $. Combien de monnaie a-t-elle reçue ?
• Choices: A) $10.40 B) $11.40 C) $12.40 D) $13.40
• Hint: Calculate each item's cost, add them, then subtract from the amount paid — for example, 2 kg × $3.00 + 1 kg × $2.00 = $8.00; change from $20 = $12.00.
• Steps:
  • Apples: 3 × $2.40 = $7.20; Carrots: 2 × $1.80 = $3.60.
  • Total: $7.20 + $3.60 = $10.80; Change: $20.00 − $10.80 = $9.20.
• Answer: $9.20

(Correcting a slip — let me recheck: $7.20 + $3.60 = $10.80; $20.00 − $10.80 = $9.20. None of the four choices I listed equals $9.20. Let me revise the choices.)

Revised problem below:

[Hard] Multi-Step Percent Problem

• EN: At a farmers' market, Camille bought 3 kg of apples at $2.40/kg and 2 kg of carrots at $1.80/kg. She paid with a $20 bill. How much change did she receive?
• FR: Au marché fermier, Camille a acheté 3 kg de pommes à 2,40 $/kg et 2 kg de carottes à 1,80 $/kg. Elle a payé avec un billet de 20 $. Combien de monnaie a-t-elle reçue ?
• Choices: A) $8.80 B) $9.20 C) $10.40 D) $11.60
• Hint: Calculate each item's cost, add them, then subtract from the amount paid — for example, 2 kg × $3.00 + 1 kg × $2.00 = $8.00; change from $20 = $12.00.
• Steps:
  • Apples: 3 × $2.40 = $7.20; Carrots: 2 × $1.80 = $3.60.
  • Total cost: $7.20 + $3.60 = $10.80.
  • Change: $20.00 − $10.80 = $9.20.
• Answer: $9.20

[Hard] One-Step Equation with Integers

• EN: Solve for y: −4y = 28.
• FR: Résous pour y : −4y = 28.
• Choices: A) y = −8 B) y = −7 C) y = 7 D) y = 8
• Hint: Divide both sides by the coefficient — for example, −3y = 15 means y = 15 ÷ (−3) = −5.
• Steps:
  • Divide both sides by −4: y = 28 ÷ (−4).
  • A positive divided by a negative is negative: y = −7.
• Answer: y = −7

[Easy] Perfect Squares

• EN: What is the square root of 49?
• FR: Quelle est la racine carrée de 49 ?
• Choices: A) 6 B) 7 C) 8 D) 9
• Hint: The square root asks what number times itself gives the result — for example, √36 = 6 because 6 × 6 = 36.
• Steps:
  • Ask: what number × itself = 49? 7 × 7 = 49.
  • √49 = 7.
• Answer: 7

[Easy] Mean

• EN: Find the mean (average) of these quiz scores: 70, 80, 90, 60.
• FR: Trouve la moyenne de ces résultats de quiz : 70, 80, 90, 60.
• Choices: A) 72 B) 75 C) 78 D) 80
• Hint: Add all values and divide by how many there are — for example, mean of 10, 20, 30 = (10+20+30) ÷ 3 = 20.
• Steps:
  • Sum: 70 + 80 + 90 + 60 = 300.
  • Mean: 300 ÷ 4 = 75.
• Answer: 75

[Easy] Pythagorean Theorem — Identify

• EN: A right triangle has legs of 3 cm and 4 cm. What is the length of the hypotenuse?
• FR: Un triangle rectangle a des côtés de 3 cm et 4 cm. Quelle est la longueur de l'hypoténuse ?
• Choices: A) 4 cm B) 5 cm C) 6 cm D) 7 cm
• Hint: Use a² + b² = c² — for example, legs 6 and 8: 36 + 64 = 100, so c = 10.
• Steps:
  • 3² + 4² = 9 + 16 = 25.
  • c = √25 = 5 cm.
• Answer: 5 cm

[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 = 6
• Hint: Subtract the constant first, then divide by the coefficient — for example, 3x + 2 = 14: 3x = 12, x = 4.
• Steps:
  • Subtract 3: 2x = 11 − 3 = 8.
  • Divide by 2: x = 8 ÷ 2 = 4.
• Answer: x = 4

[Medium] Percent Increase

• EN: A jacket cost $60 last year. This year it costs $75. What is the percent increase?
• FR: Une veste coûtait 60 $ l'an dernier. Cette année, elle coûte 75 $. Quel est le pourcentage d'augmentation ?
• Choices: A) 20% B) 22% C) 25% D) 30%
• Hint: Percent increase = (increase ÷ original) × 100 — for example, price goes from $40 to $50: increase = $10, 10 ÷ 40 × 100 = 25%.
• Steps:
  • Increase = $75 − $60 = $15.
  • Percent increase = (15 ÷ 60) × 100 = 0.25 × 100 = 25%.
• Answer: 25%

[Medium] Slope Intro

• 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 la droite ?
• Choices: A) 1 B) 2 C) 3 D) 4
• Hint: Slope = rise ÷ run = (y₂ − y₁) ÷ (x₂ − x₁) — for example, through (0, 1) and (3, 7): slope = (7−1)÷(3−0) = 2.
• Steps:
  • Rise: 10 − 2 = 8; Run: 4 − 0 = 4.
  • Slope = 8 ÷ 4 = 2.
• Answer: 2

[Medium] Median and Mode

• EN: Find the median of this data set: 3, 7, 5, 7, 9.
• FR: Trouve la médiane de cet ensemble de données : 3, 7, 5, 7, 9.
• Choices: A) 5 B) 6 C) 7 D) 9
• Hint: Sort the data first, then the median is the middle value — for example, 2, 4, 8, 10, 12: middle value is 8.
• Steps:
  • Sort: 3, 5, 7, 7, 9.
  • Middle value (3rd of 5): 7.
• Answer: 7

[Medium] Pythagorean Theorem — Missing Leg

• EN: A right triangle has a hypotenuse of 13 cm and one leg of 5 cm. What is the other leg?
• FR: Un triangle rectangle a une hypoténuse de 13 cm et un côté de 5 cm. Quel est l'autre côté ?
• Choices: A) 10 cm B) 11 cm C) 12 cm D) 14 cm
• Hint: Use a² + b² = c² and solve for the missing side — for example, if c = 10 and a = 6: b² = 100 − 36 = 64, b = 8.
• Steps:
  • b² = 13² − 5² = 169 − 25 = 144.
  • b = √144 = 12 cm.
• Answer: 12 cm

[Hard] Two-Step Equation Word Problem

• EN: Remi rents a canoe at a provincial park. There is a $5 booking fee plus $12 per hour. He pays $41 in total. How many hours did he rent the canoe?
• FR: Remi loue un canot dans un parc provincial. Il y a des frais de réservation de 5 $ plus 12 $ par heure. Il paie 41 $ au total. Combien d'heures a-t-il loué le canot ?
• Choices: A) 2 hours B) 3 hours C) 4 hours D) 5 hours
• Hint: Write an equation for the total cost, then solve — for example, $4 fee + $8/hour = $36 total: 8h = 32, h = 4 hours.
• Steps:
  • Equation: 5 + 12h = 41.
  • 12h = 41 − 5 = 36; h = 36 ÷ 12 = 3 hours.
• Answer: 3 hours

[Hard] Percent Decrease and Final Value

• EN: A pair of hockey gloves originally costs $150. They are discounted 20%, and then an additional 10% is taken off the sale price. What is the final price?
• FR: Une paire de gants de hockey coûte originalement 150 $. Ils sont réduits de 20 %, puis 10 % supplémentaires sont déduits du prix soldé. Quel est le prix final ?
• Choices: A) $100.00 B) $105.00 C) $108.00 D) $112.00
• Hint: Apply discounts one at a time — for example, $200 − 20% = $160, then $160 − 10% = $144.
• Steps:
  • After 20% off: $150 × 0.80 = $120.
  • After additional 10% off: $120 × 0.90 = $108.
  • The final price is $108.00.
• Answer: $108.00

[Easy] Solving a Linear Equation

• EN: Solve for x: 3x − 4 = 11.
• FR: Résous pour x : 3x − 4 = 11.
• Choices: A) x = 4 B) x = 5 C) x = 6 D) x = 7
• Hint: Add to both sides first, then divide — for example, 2x − 3 = 9: 2x = 12, x = 6.
• Steps:
  • Add 4 to both sides: 3x = 15.
  • Divide by 3: x = 5.
• Answer: x = 5

[Easy] Slope-Intercept Form

• EN: What is the y-intercept of the line y = 4x − 3?
• FR: Quelle est l'ordonnée à l'origine de la droite y = 4x − 3 ?
• Choices: A) −4 B) −3 C) 3 D) 4
• Hint: In y = mx + b, b is the y-intercept — for example, in y = 2x + 7, the y-intercept is 7.
• Steps:
  • The equation is in y = mx + b form; b = −3.
  • The y-intercept is −3.
• Answer: −3

[Easy] Adding Polynomials

• EN: Simplify: (3x + 5) + (2x − 1).
• FR: Simplifie : (3x + 5) + (2x − 1).
• Choices: A) 5x + 3 B) 5x + 4 C) 5x + 6 D) 6x + 4
• Hint: Combine like terms — for example, (4x + 2) + (3x − 5) = 7x − 3.
• Steps:
  • Combine x terms: 3x + 2x = 5x.
  • Combine constants: 5 + (−1) = 4.
  • Result: 5x + 4.
• Answer: 5x + 4

[Easy] Trigonometry — SOH

• EN: In a right triangle, the opposite side is 3 cm and the hypotenuse is 5 cm. What is sin(θ)?
• FR: Dans un triangle rectangle, le côté opposé mesure 3 cm et l'hypoténuse mesure 5 cm. Quel est sin(θ) ?
• Choices: A) 3/4 B) 3/5 C) 4/5 D) 5/3
• Hint: SOH means sin = Opposite ÷ Hypotenuse — for example, if opposite = 4 and hypotenuse = 8, sin = 4/8 = 1/2.
• Steps:
  • sin(θ) = opposite ÷ hypotenuse = 3 ÷ 5 = 3/5.
  • sin(θ) = 3/5.
• Answer: 3/5

[Medium] Linear Inequality

• EN: Solve the inequality: 2x + 3 > 9. Which values of x are true?
• FR: Résous l'inégalité : 2x + 3 > 9. Quelles valeurs de x sont vraies ?
• Choices: A) x > 2 B) x > 3 C) x < 3 D) x > 6
• Hint: Solve like an equation, but keep the inequality sign — for example, 3x − 1 > 8: 3x > 9, x > 3.
• Steps:
  • Subtract 3: 2x > 6.
  • Divide by 2: x > 3.
• Answer: x > 3

[Medium] Multiplying Polynomials

• EN: Expand: 3x(2x + 4).
• FR: Développe : 3x(2x + 4).
• Choices: A) 5x² + 7x B) 6x² + 7x C) 6x² + 12x D) 6x + 12x²
• Hint: Distribute the term outside the brackets to each term inside — for example, 2x(3x + 1) = 6x² + 2x.
• Steps:
  • 3x × 2x = 6x²; 3x × 4 = 12x.
  • Result: 6x² + 12x.
• Answer: 6x² + 12x

[Medium] Similar Triangles

• EN: Two similar triangles have corresponding sides in the ratio 3:5. If the shorter triangle has a base of 9 cm, what is the base of the larger triangle?
• FR: Deux triangles semblables ont des côtés correspondants dans le rapport 3:5. Si le plus petit triangle a une base de 9 cm, quelle est la base du plus grand ?
• Choices: A) 12 cm B) 13 cm C) 15 cm D) 18 cm
• Hint: Set up a proportion and cross-multiply — for example, ratio 2:3 with small base 4: 4 ÷ 2 × 3 = 6 cm.
• Steps:
  • Scale factor: 9 ÷ 3 = 3.
  • Large base: 5 × 3 = 15 cm.
• Answer: 15 cm

[Medium] Trigonometry — CAH

• EN: In a right triangle, the adjacent side is 8 cm and the hypotenuse is 10 cm. What is cos(θ)?
• FR: Dans un triangle rectangle, le côté adjacent mesure 8 cm et l'hypoténuse mesure 10 cm. Quel est cos(θ) ?
• Choices: A) 3/5 B) 4/5 C) 5/4 D) 8/6
• Hint: CAH means cos = Adjacent ÷ Hypotenuse — for example, adjacent = 6, hypotenuse = 10: cos = 6/10 = 3/5.
• Steps:
  • cos(θ) = adjacent ÷ hypotenuse = 8 ÷ 10 = 4/5.
  • cos(θ) = 4/5.
• Answer: 4/5

[Hard] System of Linear Equations

• EN: Solve the system: y = 2x + 1 and y = −x + 7. What are the values of x and y?
• FR: Résous le système : y = 2x + 1 et y = −x + 7. Quelles sont les valeurs de x et y ?
• Choices: A) x = 1, y = 3 B) x = 2, y = 5 C) x = 3, y = 7 D) x = 2, y = 4
• Hint: Set the two equations equal to each other and solve for x, then substitute — for example, 3x + 2 = x + 8: 2x = 6, x = 3, y = 11.
• Steps:
  • Set equal: 2x + 1 = −x + 7.
  • 3x = 6; x = 2.
  • y = 2(2) + 1 = 5.
  • Solution: x = 2, y = 5.
• Answer: x = 2, y = 5

[Hard] Statistics — Line of Best Fit Interpretation

• EN: A scatter plot shows that as temperature rises by 1°C, hot chocolate sales drop by 4 cups. At 10°C, 80 cups are sold. How many cups are sold at 15°C?
• FR: Un diagramme de dispersion montre que pour chaque hausse de 1°C, les ventes de chocolat chaud baissent de 4 tasses. À 10°C, 80 tasses sont vendues. Combien de tasses sont vendues à 15°C ?
• Choices: A) 55 cups B) 60 cups C) 65 cups D) 70 cups
• Hint: Multiply the rate of change by the number of additional degrees, then subtract — for example, 5°C rise × 3 cups drop = 15 fewer cups.
• Steps:
  • Temperature rises 15 − 10 = 5°C.
  • Drop in sales: 5 × 4 = 20 cups.
  • Sales at 15°C: 80 − 20 = 60 cups.
• Answer: 60 cups

[Easy] Factoring a Quadratic

• EN: Factor: x² + 7x + 12.
• FR: Factorise : x² + 7x + 12.
• Choices: A) (x + 3)(x + 4) B) (x + 2)(x + 6) C) (x + 1)(x + 12) D) (x + 4)(x + 4)
• Hint: Find two numbers that multiply to 12 and add to 7 — for example, for x² + 5x + 6, find 2 and 3 since 2 × 3 = 6 and 2 + 3 = 5.
• Steps:
  • Need two numbers: product = 12, sum = 7.
  • 3 × 4 = 12 and 3 + 4 = 7. ✓
  • x² + 7x + 12 = (x + 3)(x + 4).
• Answer: (x + 3)(x + 4)

[Easy] Trigonometry — Finding a Side

• EN: In a right triangle, angle θ = 30°, and the hypotenuse is 10 cm. What is the length of the side opposite θ? (sin 30° = 0.5)
• FR: Dans un triangle rectangle, l'angle θ = 30° et l'hypoténuse est 10 cm. Quelle est la longueur du côté opposé à θ ? (sin 30° = 0,5)
• Choices: A) 3 cm B) 4 cm C) 5 cm D) 6 cm
• Hint: Use sin θ = opposite ÷ hypotenuse and rearrange — for example, sin 45° = 0.707, hypotenuse = 8: opposite = 8 × 0.707 ≈ 5.66.
• Steps:
  • sin 30° = opposite ÷ 10.
  • Opposite = 10 × 0.5 = 5 cm.
• Answer: 5 cm

[Easy] System of Equations

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

[Easy] Surface Area — Cylinder

• EN: A cylinder has radius 3 cm and height 5 cm. What is its lateral surface area? Use π ≈ 3.14.
• FR: Un cylindre a un rayon de 3 cm et une hauteur de 5 cm. Quelle est son aire latérale ? Utilise π ≈ 3,14.
• Choices: A) 88.0 cm² B) 90.6 cm² C) 94.2 cm² D) 97.4 cm²
• Hint: Lateral surface area = 2πrh — for example, radius 2 cm, height 4 cm: 2 × 3.14 × 2 × 4 = 50.24 cm².
• Steps:
  • Lateral SA = 2πrh = 2 × 3.14 × 3 × 5.
  • = 2 × 3.14 × 15 = 6.28 × 15 = 94.2 cm².
• Answer: 94.2 cm²

[Medium] Completing the Square

• EN: Solve x² + 6x − 7 = 0 by factoring. What are the solutions?
• FR: Résous x² + 6x − 7 = 0 par factorisation. Quelles sont les solutions ?
• Choices: A) x = 1 or x = −7 B) x = −1 or x = 7 C) x = 2 or x = −7 D) x = 7 or x = 6
• Hint: Factor into (x + a)(x + b) where a × b = −7 and a + b = 6 — for example, x² + 3x − 10 = (x + 5)(x − 2), so x = −5 or x = 2.
• Steps:
  • Find two numbers: product = −7, sum = 6. Those are 7 and −1.
  • (x + 7)(x − 1) = 0; x = −7 or x = 1.
• Answer: x = 1 or x = −7

[Medium] Circle Geometry

• EN: A circle has a radius of 7 cm. What is the area of the circle? Use π ≈ 3.14.
• FR: Un cercle a un rayon de 7 cm. Quelle est l'aire du cercle ? Utilise π ≈ 3,14.
• Choices: A) 143.72 cm² B) 148.34 cm² C) 153.86 cm² D) 160.00 cm²
• Hint: Area = πr² — for example, radius 5 cm: 3.14 × 25 = 78.5 cm².
• Steps:
  • Area = 3.14 × 7² = 3.14 × 49.
  • = 153.86 cm².
• Answer: 153.86 cm²

[Medium] Volume of a Cone

• EN: A cone has radius 3 cm and height 8 cm. What is its volume? Use π ≈ 3.14.
• FR: Un cône a un rayon de 3 cm et une hauteur de 8 cm. Quel est son volume ? Utilise π ≈ 3,14.
• Choices: A) 72.22 cm³ B) 75.36 cm³ C) 78.50 cm³ D) 80.14 cm³
• Hint: Volume of a cone = (1/3)πr²h — for example, r = 2, h = 6: (1/3) × 3.14 × 4 × 6 = 25.12 cm³.
• Steps:
  • V = (1/3) × 3.14 × 3² × 8 = (1/3) × 3.14 × 9 × 8.
  • = (1/3) × 226.08 = 75.36 cm³.
• Answer: 75.36 cm³

[Medium] Quadratic Formula

• EN: Use the quadratic formula to solve 2x² − 7x + 3 = 0. What are the solutions?
• FR: Utilise la formule quadratique pour résoudre 2x² − 7x + 3 = 0. Quelles sont les solutions ?
• Choices: A) x = 3 or x = 1/2 B) x = 3 or x = 1/3 C) x = −3 or x = 1/2 D) x = 4 or x = 1/2
• Hint: x = [−b ± √(b²−4ac)] ÷ (2a) — for example, x² − 5x + 6 = 0: discriminant = 25 − 24 = 1, x = (5 ± 1)/2 = 3 or 2.
• Steps:
  • a = 2, b = −7, c = 3. Discriminant = 49 − 24 = 25.
  • x = (7 ± 5) ÷ 4. So x = 12/4 = 3 or x = 2/4 = 1/2.
• Answer: x = 3 or x = 1/2

[Hard] Circle Geometry — Chord and Arc

• EN: An inscribed angle in a circle measures 35°. What is the measure of the central angle that subtends the same arc?
• FR: Un angle inscrit dans un cercle mesure 35°. Quelle est la mesure de l'angle au centre qui sous-tend le même arc ?
• Choices: A) 35° B) 55° C) 70° D) 140°
• Hint: The central angle is always double the inscribed angle subtending the same arc — for example, inscribed angle of 40° gives central angle of 80°.
• Steps:
  • Central angle = 2 × inscribed angle.
  • 2 × 35° = 70°.
• Answer: 70°

[Hard] Systems of Equations — Quadratic and Linear

• EN: Solve the system: y = x² and y = x + 6. What are the x-values of the intersection points?
• FR: Résous le système : y = x² et y = x + 6. Quelles sont les valeurs de x aux points d'intersection ?
• Choices: A) x = −2 or x = 3 B) x = 2 or x = −3 C) x = 1 or x = 6 D) x = −1 or x = 6
• Hint: Substitute y = x + 6 into y = x² to get a quadratic equation, then factor — for example, x² = x + 2 becomes x² − x − 2 = 0 → (x−2)(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 = −2 or x = 3

[Easy] Evaluating an Exponential Function

• EN: Evaluate f(x) = 2^x when x = 4.
• FR: Évalue f(x) = 2^x quand x = 4.
• Choices: A) 8 B) 12 C) 16 D) 20
• Hint: Raise the base to the given power — for example, 3^3 = 3 × 3 × 3 = 27.
• Steps:
  • 2^4 = 2 × 2 × 2 × 2 = 16.
  • f(4) = 16.
• Answer: 16

[Easy] Logarithm Intro

• EN: What is log₂(8)?
• FR: Combien vaut log₂(8) ?
• Choices: A) 2 B) 3 C) 4 D) 6
• Hint: A logarithm asks the exponent — for example, log₃(27) = 3 because 3³ = 27.
• Steps:
  • Ask: 2 to what power equals 8? 2³ = 8.
  • log₂(8) = 3.
• Answer: 3

[Easy] Arithmetic Sequence

• EN: Find the 5th term of the arithmetic sequence: 4, 9, 14, 19, ...
• FR: Trouve le 5e terme de la suite arithmétique : 4, 9, 14, 19, ...
• Choices: A) 22 B) 24 C) 25 D) 26
• Hint: Add the common difference repeatedly — for example, 3, 7, 11, 15: difference is 4, so 5th term = 15 + 4 = 19.
• Steps:
  • Common difference: 9 − 4 = 5.
  • 5th term: 19 + 5 = 24.
• Answer: 24

[Easy] Compound Interest

• EN: $500 is invested at 4% per year, compounded annually. What is the amount after 2 years?
• FR: 500 $ sont investis à 4 % par an, composé annuellement. Quel est le montant après 2 ans ?
• Choices: A) $538.00 B) $540.00 C) $540.80 D) $542.00
• Hint: A = P(1 + r)^n — for example, $200 at 5% for 2 years: 200 × 1.05² = 200 × 1.1025 = $220.50.
• Steps:
  • A = 500 × (1.04)² = 500 × 1.0816 = $540.80.
  • The amount after 2 years is $540.80.
• Answer: $540.80

[Medium] Quadratic Function — Vertex

• EN: Find the vertex of f(x) = x² − 4x + 7.
• FR: Trouve le sommet de f(x) = x² − 4x + 7.
• Choices: A) (2, 3) B) (2, 4) C) (−2, 3) D) (4, 7)
• Hint: The x-coordinate of the vertex is x = −b/(2a), then substitute to find y — for example, f(x) = x² − 6x + 5: vertex x = 3, f(3) = 9 − 18 + 5 = −4, vertex (3, −4).
• Steps:
  • x = −(−4)/(2×1) = 4/2 = 2.
  • f(2) = 4 − 8 + 7 = 3. Vertex is (2, 3).
• Answer: (2, 3)

[Medium] Geometric Sequence

• EN: A geometric sequence starts 2, 6, 18, 54, ... What is the 6th term?
• FR: Une suite géométrique commence par 2, 6, 18, 54, ... Quel est le 6e terme ?
• Choices: A) 162 B) 324 C) 486 D) 648
• Hint: Multiply by the common ratio each time — for example, 3, 6, 12, 24: ratio is 2, so 5th term = 24 × 2 = 48.
• Steps:
  • Common ratio: 6 ÷ 2 = 3. The sequence: 2, 6, 18, 54, 162, 486.
  • The 6th term is 486.
• Answer: 486

[Medium] Trigonometric Identity

• EN: Simplify: sin²θ + cos²θ.
• FR: Simplifie : sin²θ + cos²θ.
• Choices: A) 0 B) 1 C) 2 D) sinθ
• Hint: This is the most important trig identity — for example, any values of θ will always give the same result: sin²(30°) + cos²(30°) = 0.25 + 0.75 = 1.
• Steps:
  • The Pythagorean identity states sin²θ + cos²θ = 1 for all values of θ.
  • The answer is 1.
• Answer: 1

[Medium] Annuity — Future Value

• EN: Maya deposits $100 at the end of each year into an account earning 5% per year for 3 years. What is the future value of the annuity?
• FR: Maya dépose 100 $ à la fin de chaque année dans un compte rapportant 5 % par an pendant 3 ans. Quelle est la valeur future de la rente ?
• Choices: A) $305.00 B) $310.00 C) $315.25 D) $320.00
• Hint: Each deposit earns interest for different periods — for example, $50/year for 2 years at 10%: $50(1.1) + $50 = $55 + $50 = $105.
• Steps:
  • Year 1 deposit grows: $100(1.05)² = $110.25.
  • Year 2 deposit grows: $100(1.05)¹ = $105.00.
  • Year 3 deposit: $100 (just deposited, no growth).
  • Total: $110.25 + $105.00 + $100.00 = $315.25.
• Answer: $315.25

[Hard] Logarithm Properties

• EN: Simplify: log₂(32) − log₂(4).
• FR: Simplifie : log₂(32) − log₂(4).
• Choices: A) 2 B) 3 C) 4 D) 5
• Hint: log(a) − log(b) = log(a ÷ b) — for example, log₃(27) − log₃(3) = log₃(9) = 2.
• Steps:
  • log₂(32) − log₂(4) = log₂(32 ÷ 4) = log₂(8).
  • 2³ = 8, so log₂(8) = 3.
• Answer: 3

[Hard] Compound Interest — Solving for Time

• EN: An investment doubles from $1 000 to $2 000 at 7% compounded annually. Using the rule of 72, approximately how many years does this take?
• FR: Un investissement double de 1 000 $ à 2 000 $ à 7 % composé annuellement. En utilisant la règle de 72, environ combien d'années cela prend-il ?
• Choices: A) About 8 years B) About 10 years C) About 12 years D) About 14 years
• Hint: Rule of 72: divide 72 by the interest rate percent — for example, at 6%: 72 ÷ 6 = 12 years to double.
• Steps:
  • Divide 72 by the interest rate: 72 ÷ 7 ≈ 10.3 years.
  • The closest answer is about 10 years.
• Answer: About 10 years

[Easy] Permutations

• EN: How many ways can 4 students line up in a row?
• FR: De combien de façons 4 élèves peuvent-ils se mettre en rang ?
• Choices: A) 12 B) 16 C) 24 D) 32
• Hint: The number of arrangements of n items is n! — for example, 3 students: 3! = 3 × 2 × 1 = 6 ways.
• Steps:
  • 4! = 4 × 3 × 2 × 1 = 24.
  • There are 24 ways.
• Answer: 24

[Easy] Combinations

• EN: A student must choose 2 electives from 5 options. How many combinations are possible?
• FR: Un élève doit choisir 2 options parmi 5. Combien de combinaisons sont possibles ?
• Choices: A) 8 B) 10 C) 12 D) 20
• Hint: Use C(n,r) = n! ÷ [r!(n−r)!] — for example, C(4,2) = 4! ÷ (2! × 2!) = 6.
• Steps:
  • C(5,2) = 5! ÷ (2! × 3!) = (5 × 4) ÷ (2 × 1) = 20 ÷ 2 = 10.
  • There are 10 combinations.
• Answer: 10

[Easy] Derivative — Power Rule

• EN: Find the derivative of f(x) = x³.
• FR: Trouve la dérivée de f(x) = x³.
• Choices: A) x² B) 2x² C) 3x² D) 3x³
• Hint: The power rule: d/dx(xⁿ) = nxⁿ⁻¹ — for example, d/dx(x⁵) = 5x⁴.
• Steps:
  • Bring the exponent to the front and decrease it by 1.
  • d/dx(x³) = 3x².
• Answer: 3x²

[Easy] 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). Quel est a + b ?
• Choices: A) (3, 2) B) (4, 2) C) (4, −2) D) (5, 6)
• Hint: Add corresponding components — for example, (2, 5) + (3, −1) = (5, 4).
• Steps:
  • x-components: 3 + 1 = 4.
  • y-components: 4 + (−2) = 2.
  • a + b = (4, 2).
• Answer: (4, 2)

[Medium] Rational Function — Domain

• EN: What is the domain of f(x) = 1/(x² − 9)?
• FR: Quel est le domaine de f(x) = 1/(x² − 9) ?
• Choices: A) All real numbers except x = 3 B) All real numbers except x = 9 C) All real numbers except x = 3 and x = −3 D) All real numbers except x = −9
• Hint: Find values that make the denominator zero and exclude them — for example, 1/(x − 4): exclude x = 4.
• Steps:
  • Set denominator equal to zero: x² − 9 = 0 → x² = 9 → x = ±3.
  • Domain is all real numbers except x = 3 and x = −3.
• Answer: All real numbers except x = 3 and x = −3

[Medium] Binomial Probability

• EN: A fair coin is flipped 4 times. What is the probability of getting exactly 3 heads?
• FR: Une pièce de monnaie équilibrée est lancée 4 fois. Quelle est la probabilité d'obtenir exactement 3 faces ?
• Choices: A) 1/4 B) 3/8 C) 1/2 D) 1/8
• Hint: Use P = C(n,k) × pᵏ × (1−p)ⁿ⁻ᵏ — for example, 3 flips, 2 heads: C(3,2) × (0.5)² × (0.5)¹ = 3 × 0.25 × 0.5 = 0.375.
• Steps:
  • P = C(4,3) × (0.5)³ × (0.5)¹ = 4 × 0.125 × 0.5 = 4 × 0.0625 = 0.25 = 1/4.
  • The probability is 1/4.
• Answer: 1/4

[Medium] Polynomial Division

• EN: Divide x³ + 3x² − x − 3 by (x − 1).
• FR: Divise x³ + 3x² − x − 3 par (x − 1).
• Choices: A) x² + 4x + 3 B) x² + 2x − 3 C) x² + 4x − 3 D) x² − 4x + 3
• Hint: Use synthetic or long division — for example, (x³ − x) ÷ (x − 1): first term is x², so x²(x−1) = x³ − x², bring down and continue.
• Steps:
  • Use synthetic division with root = 1: coefficients 1, 3, −1, −3.
  • Bring down 1; 1×1=1, 3+1=4; 4×1=4, −1+4=3; 3×1=3, −3+3=0.
  • Quotient: x² + 4x + 3.
• Answer: x² + 4x + 3

[Medium] Derivative — Tangent Line

• EN: For f(x) = x² + 2x, what is the slope of the tangent line at x = 3?
• FR: Pour f(x) = x² + 2x, quelle est la pente de la tangente en x = 3 ?
• Choices: A) 6 B) 7 C) 8 D) 9
• Hint: Find f'(x) first using the power rule, then substitute x — for example, f(x) = x² + 4x, f'(x) = 2x + 4, at x = 1: slope = 6.
• Steps:
  • f'(x) = 2x + 2.
  • At x = 3: f'(3) = 2(3) + 2 = 6 + 2 = 8.
• Answer: 8

[Hard] Permutations with Restrictions

• EN: How many 4-letter arrangements can be made from the letters A, B, C, D, E if the letter A must be first?
• FR: Combien d'arrangements de 4 lettres peuvent être formés à partir des lettres A, B, C, D, E si la lettre A doit être en première position ?
• Choices: A) 20 B) 24 C) 30 D) 36
• Hint: Fix A in position 1, then count arrangements of the remaining letters in the remaining spots — for example, fix B first from {B, C, D, E, F} in a 3-letter word: 4 × 3 = 12 arrangements.
• Steps:
  • A is fixed in position 1; choose 3 letters from the remaining 4 (B, C, D, E) in order.
  • P(4, 3) = 4 × 3 × 2 = 24 arrangements.
• Answer: 24

[Hard] Normal Distribution

• EN: In a class, test scores are normally distributed with a mean of 70 and a standard deviation of 10. Approximately what percentage of students scored between 60 and 80?
• FR: Dans une classe, les résultats de test suivent une distribution normale avec une moyenne de 70 et un écart-type de 10. Environ quel pourcentage d'élèves ont obtenu entre 60 et 80 ?
• Choices: A) 50% B) 64% C) 68% D) 95%
• Hint: One standard deviation above and below the mean contains about 68% of data — for example, mean = 50, SD = 5: 68% score between 45 and 55.
• Steps:
  • 60 = mean − 1 SD; 80 = mean + 1 SD.
  • Within ±1 standard deviation lies approximately 68% of the data.
• Answer: 68%