Daily Math — 2026-08-01

[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, count on from the bigger number. Start at 8 and count up 3 more: 9, 10, 11.
• Steps:
  • Start at 7 and count up 5 more: 8, 9, 10, 11, 12.
  • So Maya has 12 carrots.
• Answer: 12 carrots

[Easy] Hockey Pucks

• EN: There are 9 hockey pucks on the ice. A player takes 4 away. How many pucks are left?
• FR: Il y a 9 rondelles sur la glace. Un joueur en enlève 4. Combien de rondelles reste-t-il ?
• Choices: A) 3 pucks B) 4 pucks C) 5 pucks D) 6 pucks
• Hint: To subtract, count back from the bigger number. Start at 8, count back 3: 7, 6, 5.
• Steps:
  • Start at 9 and count back 4: 8, 7, 6, 5.
  • So there are 5 pucks left.
• Answer: 5 pucks

[Easy] Skip Counting by 2s

• EN: Count by 2s. What number comes after 8, 10, 12, ___?
• FR: Compte par 2. Quel nombre vient après 8, 10, 12, ___ ?
• Choices: A) 13 B) 14 C) 15 D) 16
• Hint: When you skip count by 2s, add 2 each time. After 6, 8, 10 — the next is 12.
• Steps:
  • The pattern adds 2 each time: 8, 10, 12 …
  • Add 2 to 12: 12 + 2 = 14.
• Answer: 14

[Easy] Coin Recognition

• EN: Which coin is worth 10 cents in Canada?
• FR: Quelle pièce vaut 10 cents au Canada ?
• Choices: A) Penny B) Nickel C) Dime D) Loonie
• Hint: A penny = 1 cent, a nickel = 5 cents, a dime = 10 cents, a loonie = 1 dollar.
• Steps:
  • Penny = 1 cent.
  • Nickel = 5 cents.
  • Dime = 10 cents.
  • So the coin worth 10 cents is the dime.
• Answer: Dime

[Medium] Comparing Numbers

• EN: Which number is greater, 15 or 18?
• FR: Quel nombre est plus grand, 15 ou 18 ?
• Choices: A) 15 B) 18 C) Both are equal D) Neither
• Hint: When comparing, the number that comes later when counting is greater. 6 comes after 4, so 6 > 4.
• Steps:
  • Count: … 14, 15, 16, 17, 18.
  • 18 comes after 15, so 18 is greater.
• Answer: 18

[Medium] Snowball Count

• EN: Liam makes 6 snowballs. His sister makes 8 snowballs. How many snowballs do they have together?
• FR: Liam fait 6 boules de neige. Sa sœur en fait 8. Combien de boules de neige ont-ils ensemble ?
• Choices: A) 12 snowballs B) 13 snowballs C) 14 snowballs D) 15 snowballs
• Hint: Start at the bigger number and count on. Start at 9, count on 4 more: 10, 11, 12, 13.
• Steps:
  • Start at 8 and count on 6 more: 9, 10, 11, 12, 13, 14.
  • So they have 14 snowballs together.
• Answer: 14 snowballs

[Medium] Skip Counting by 5s

• EN: Count by 5s. What number comes next: 5, 10, 15, ___?
• FR: Compte par 5. Quel nombre vient après : 5, 10, 15, ___ ?
• Choices: A) 16 B) 18 C) 20 D) 25
• Hint: Skip counting by 5s means adding 5 each time. After 10, 15, 20 — the next is 25.
• Steps:
  • The pattern adds 5 each time: 5, 10, 15 …
  • Add 5 to 15: 15 + 5 = 20.
• Answer: 20

[Medium] Fewer Stickers

• EN: Priya has 14 stickers. She gives 6 to her friend. How many stickers does Priya have left?
• FR: Priya a 14 autocollants. Elle en donne 6 à son amie. Combien d'autocollants Priya a-t-elle maintenant ?
• Choices: A) 7 stickers B) 8 stickers C) 9 stickers D) 10 stickers
• Hint: To subtract, count back. Start at 10, count back 4: 9, 8, 7, 6.
• Steps:
  • Start at 14 and count back 6: 13, 12, 11, 10, 9, 8.
  • So Priya has 8 stickers left.
• Answer: 8 stickers

[Hard] Two Hops

• EN: There are 3 birds on a fence. Then 5 more land, and then 4 fly away. How many birds are on the fence now?
• FR: Il y a 3 oiseaux sur une clôture. Puis 5 autres se posent, puis 4 s'envolent. Combien d'oiseaux y a-t-il maintenant ?
• Choices: A) 2 birds B) 4 birds C) 6 birds D) 8 birds
• Hint: Do two steps. First add, then subtract. Start with 2, add 3 to get 5, then take away 1 to get 4.
• Steps:
  • Start with 3 birds.
  • Add 5: 3 + 5 = 8 birds.
  • Subtract 4: 8 − 4 = 4 birds.
  • So there are 4 birds on the fence now.
• Answer: 4 birds

[Hard] Counting to 100

• EN: What number is 10 more than 87?
• FR: Quel nombre est 10 de plus que 87 ?
• Choices: A) 77 B) 90 C) 97 D) 98
• Hint: Adding 10 moves you forward by one full row on a hundreds chart. 22 + 10 = 32.
• Steps:
  • Start at 87.
  • Add 10: 87 + 10 = 97.
  • So the answer is 97.
• Answer: 97

[Easy] Adding to 100

• EN: What is 34 + 25?
• FR: Combien font 34 + 25 ?
• Choices: A) 57 B) 58 C) 59 D) 60
• Hint: Add the ones first, then the tens. 3 + 4 = 7 ones, 2 + 3 = 5 tens, so 53.
• Steps:
  • Ones: 4 + 5 = 9.
  • Tens: 3 + 2 = 5.
  • So 34 + 25 = 59.
• Answer: 59

[Easy] Telling Time

• EN: The clock shows the hour hand on 3 and the minute hand on 12. What time is it?
• FR: L'aiguille des heures est sur le 3 et l'aiguille des minutes est sur le 12. Quelle heure est-il ?
• Choices: A) 12:00 B) 2:00 C) 3:00 D) 3:30
• Hint: When the minute hand points to 12, it is exactly on the hour. If the hour hand is on 7, it is 7:00.
• Steps:
  • Minute hand on 12 means exactly on the hour.
  • Hour hand on 3 means it is 3 o'clock.
  • The time is 3:00.
• Answer: 3:00

[Easy] Measuring Length

• EN: A pencil is 12 cm long. A crayon is 7 cm long. How much longer is the pencil than the crayon?
• FR: Un crayon mesure 12 cm de long. Un crayon de couleur mesure 7 cm. De combien le crayon est-il plus long ?
• Choices: A) 4 cm B) 5 cm C) 6 cm D) 7 cm
• Hint: To find the difference in length, subtract. 15 cm − 9 cm = 6 cm.
• Steps:
  • Subtract the shorter length from the longer: 12 − 7 = 5.
  • The pencil is 5 cm longer.
• Answer: 5 cm

[Easy] Counting Coins

• EN: Anika has 2 dimes and 1 nickel. How much money does she have?
• FR: Anika a 2 pièces de 10 cents et 1 pièce de 5 cents. Combien d'argent a-t-elle ?
• Choices: A) 20 cents B) 22 cents C) 25 cents D) 30 cents
• Hint: Count each coin value. 1 dime = 10 cents, 1 nickel = 5 cents. Two dimes + one nickel: 10 + 10 + 5.
• Steps:
  • 2 dimes = 2 × 10 = 20 cents.
  • 1 nickel = 5 cents.
  • 20 + 5 = 25 cents.
• Answer: 25 cents

[Medium] Subtraction within 100

• EN: What is 72 − 38?
• FR: Combien font 72 − 38 ?
• Choices: A) 32 B) 33 C) 34 D) 36
• Hint: Regroup if needed. For 54 − 27, think 54 − 20 = 34, then 34 − 7 = 27.
• Steps:
  • Regroup: borrow 1 ten from 7 tens, making 12 ones and 6 tens.
  • Ones: 12 − 8 = 4.
  • Tens: 6 − 3 = 3.
  • So 72 − 38 = 34.
• Answer: 34

[Medium] Telling Time — Half Hour

• EN: The clock shows the hour hand between 6 and 7, and the minute hand on 6. What time is it?
• FR: L'aiguille des heures est entre le 6 et le 7, et l'aiguille des minutes est sur le 6. Quelle heure est-il ?
• Choices: A) 6:00 B) 6:30 C) 7:00 D) 7:30
• Hint: When the minute hand is on 6, it is half past the hour. Hour hand between 4 and 5, minute hand on 6 = 4:30.
• Steps:
  • Minute hand on 6 means 30 minutes past.
  • Hour hand between 6 and 7 means it just passed 6.
  • The time is 6:30.
• Answer: 6:30

[Medium] Pattern Power

• EN: Look at this pattern: 2, 4, 6, 8, ___. What is the missing number?
• FR: Observe ce motif : 2, 4, 6, 8, ___. Quel est le nombre manquant ?
• Choices: A) 9 B) 10 C) 11 D) 12
• Hint: Find the rule by looking at the difference between numbers. 3, 6, 9, 12 — the rule is add 3.
• Steps:
  • The rule is add 2 each time: 2, 4, 6, 8 …
  • 8 + 2 = 10.
  • The missing number is 10.
• Answer: 10

[Medium] School Supplies

• EN: A notebook costs 45 cents and an eraser costs 30 cents. How much do they cost together?
• FR: Un cahier coûte 45 cents et une gomme coûte 30 cents. Combien coûtent-ils ensemble ?
• Choices: A) 65 cents B) 70 cents C) 75 cents D) 80 cents
• Hint: Add the cents together. 50 cents + 20 cents = 70 cents.
• Steps:
  • Add 45 + 30.
  • Tens: 4 + 3 = 7 tens = 70.
  • Ones: 5 + 0 = 5.
  • 45 + 30 = 75 cents.
• Answer: 75 cents

[Hard] Change at Tim Hortons

• EN: A muffin costs 65 cents. Theo pays with a dollar (100 cents). How much change does he get?
• FR: Un muffin coûte 65 cents. Théo paie avec un dollar (100 cents). Combien de monnaie reçoit-il ?
• Choices: A) 25 cents B) 30 cents C) 35 cents D) 40 cents
• Hint: Subtract the cost from 100 cents. 100 − 70 = 30 cents change.
• Steps:
  • Start at 65 and count up to 100.
  • 65 + 5 = 70, then 70 + 30 = 100.
  • Total change: 5 + 30 = 35 cents.
• Answer: 35 cents

[Hard] Measuring Around

• EN: A garden bed is 8 m long and 3 m wide. What is the total distance around the garden bed?
• FR: Un parterre de jardin mesure 8 m de long et 3 m de large. Quelle est la distance totale autour du parterre ?
• Choices: A) 11 m B) 18 m C) 22 m D) 24 m
• Hint: To find the distance around a rectangle, add all four sides. A 5 m × 2 m rectangle: 5 + 2 + 5 + 2 = 14 m.
• Steps:
  • A rectangle has two long sides and two short sides.
  • Long sides: 8 + 8 = 16 m.
  • Short sides: 3 + 3 = 6 m.
  • Total: 16 + 6 = 22 m.
• Answer: 22 m

[Easy] Multiplication — 2s

• EN: What is 2 × 7?
• FR: Combien font 2 × 7 ?
• Choices: A) 12 B) 13 C) 14 D) 16
• Hint: Multiplying by 2 is the same as adding the number to itself. 2 × 5 = 5 + 5 = 10.
• Steps:
  • 2 × 7 means 7 + 7.
  • 7 + 7 = 14.
• Answer: 14

[Easy] Basic Division

• EN: There are 12 apples divided equally into 3 bags. How many apples are in each bag?
• FR: Il y a 12 pommes réparties également dans 3 sacs. Combien y a-t-il de pommes dans chaque sac ?
• Choices: A) 3 apples B) 4 apples C) 5 apples D) 6 apples
• Hint: Division asks how many equal groups. 10 ÷ 2 = 5, because 5 + 5 = 10.
• Steps:
  • 12 ÷ 3 = ?
  • Think: 3 × 4 = 12.
  • So each bag has 4 apples.
• Answer: 4 apples

[Easy] Fractions

• EN: A pizza is cut into 4 equal slices. Emma eats 1 slice. What fraction of the pizza did she eat?
• FR: Une pizza est coupée en 4 parts égales. Emma mange 1 part. Quelle fraction de la pizza a-t-elle mangée ?
• Choices: A) 1/2 B) 1/3 C) 1/4 D) 2/4
• Hint: A fraction shows parts of a whole. If a pie is cut into 3 pieces and you eat 1, you ate 1/3.
• Steps:
  • The pizza is cut into 4 equal pieces (denominator = 4).
  • Emma eats 1 piece (numerator = 1).
  • The fraction is 1/4.
• Answer: 1/4

[Easy] Reading a Graph

• EN: A bar graph shows: Monday = 3 books, Tuesday = 5 books, Wednesday = 4 books. How many books were read on Monday and Wednesday combined?
• FR: Un graphique montre : lundi = 3 livres, mardi = 5 livres, mercredi = 4 livres. Combien de livres ont été lus lundi et mercredi combinés ?
• Choices: A) 5 books B) 6 books C) 7 books D) 8 books
• Hint: Add the values shown in the bars you need. Tuesday 6 + Thursday 4 = 10.
• Steps:
  • Monday = 3 books, Wednesday = 4 books.
  • 3 + 4 = 7 books.
• Answer: 7 books

[Medium] Multiplication — 5s

• EN: What is 5 × 8?
• FR: Combien font 5 × 8 ?
• Choices: A) 35 B) 38 C) 40 D) 45
• Hint: Multiples of 5 always end in 0 or 5. Count by 5s: 5, 10, 15, 20, 25, 30, 35 — that is 5 × 7.
• Steps:
  • Count by 5s eight times: 5, 10, 15, 20, 25, 30, 35, 40.
  • 5 × 8 = 40.
• Answer: 40

[Medium] Perimeter

• EN: A rectangular garden has a length of 9 m and a width of 4 m. What is its perimeter?
• FR: Un jardin rectangulaire a une longueur de 9 m et une largeur de 4 m. Quel est son périmètre ?
• Choices: A) 13 m B) 22 m C) 26 m D) 36 m
• Hint: Perimeter = sum of all sides. For a rectangle, add all 4 sides: 6 + 3 + 6 + 3 = 18 m.
• Steps:
  • Two lengths: 9 + 9 = 18 m.
  • Two widths: 4 + 4 = 8 m.
  • Perimeter = 18 + 8 = 26 m.
• Answer: 26 m

[Medium] Multiplication — 10s

• EN: What is 10 × 6?
• FR: Combien font 10 × 6 ?
• Choices: A) 16 B) 56 C) 60 D) 66
• Hint: Multiplying by 10 just puts a zero at the end of the other number. 10 × 4 = 40.
• Steps:
  • 10 × 6: put a 0 after 6.
  • 10 × 6 = 60.
• Answer: 60

[Medium] Sharing Equally

• EN: Ben has 20 hockey cards. He shares them equally among 4 friends. How many cards does each friend get?
• FR: Ben a 20 cartes de hockey. Il les partage également entre 4 amis. Combien de cartes chaque ami reçoit-il ?
• Choices: A) 4 cards B) 5 cards C) 6 cards D) 8 cards
• Hint: Divide the total by the number of groups. 15 ÷ 3 = 5 because 3 × 5 = 15.
• Steps:
  • 20 ÷ 4 = ?
  • Think: 4 × 5 = 20.
  • Each friend gets 5 cards.
• Answer: 5 cards

[Hard] Fractions of a Group

• EN: There are 12 students in a group. One quarter of them are wearing hats. How many students are wearing hats?
• FR: Il y a 12 élèves dans un groupe. Un quart d'entre eux portent des chapeaux. Combien d'élèves portent un chapeau ?
• Choices: A) 2 students B) 3 students C) 4 students D) 6 students
• Hint: To find 1/4 of a number, divide it by 4. One quarter of 8 is 8 ÷ 4 = 2.
• Steps:
  • 1/4 of 12 means 12 ÷ 4.
  • 12 ÷ 4 = 3.
  • So 3 students are wearing hats.
• Answer: 3 students

[Hard] Multi-Step Problem

• EN: A box holds 4 rows of muffins with 3 muffins in each row. Sofia bakes 3 full boxes. How many muffins did she bake in total?
• FR: Une boîte contient 4 rangées de muffins avec 3 muffins dans chaque rangée. Sofia cuit 3 boîtes complètes. Combien de muffins a-t-elle cuits en tout ?
• Choices: A) 24 muffins B) 30 muffins C) 36 muffins D) 40 muffins
• Hint: First find muffins per box, then multiply by the number of boxes. 2 rows × 5 each = 10 per box, × 3 boxes = 30.
• Steps:
  • Muffins per box: 4 × 3 = 12.
  • Total muffins: 12 × 3 = 36.
  • Sofia baked 36 muffins.
• Answer: 36 muffins

[Easy] Multiplication Facts

• EN: What is 7 × 8?
• FR: Combien font 7 × 8 ?
• Choices: A) 48 B) 54 C) 56 D) 63
• Hint: Seven eights — think of it as 7 × 8 = (7 × 4) × 2 = 28 × 2 = 56. Or use 5 × 8 = 40, then add 2 × 8 = 16.
• Steps:
  • 5 × 8 = 40.
  • 2 × 8 = 16.
  • 40 + 16 = 56.
• Answer: 56

[Easy] Decimal Place Value

• EN: In the number 3.47, what digit is in the hundredths place?
• FR: Dans le nombre 3,47, quel chiffre est dans la position des centièmes ?
• Choices: A) 3 B) 4 C) 7 D) 0
• Hint: In a decimal, the first place after the dot is tenths, the second is hundredths. In 5.62, the hundredths digit is 2.
• Steps:
  • 3.47 — 3 is ones, 4 is tenths, 7 is hundredths.
  • The hundredths digit is 7.
• Answer: 7

[Easy] Area of a Rectangle

• EN: A classroom floor is 9 m long and 6 m wide. What is its area?
• FR: Le plancher d'une salle de classe mesure 9 m de long et 6 m de large. Quelle est son aire ?
• Choices: A) 15 m² B) 30 m² C) 54 m² D) 72 m²
• Hint: Area of a rectangle = length × width. A 7 m × 4 m room has an area of 28 m².
• Steps:
  • Area = 9 × 6.
  • 9 × 6 = 54.
  • The area is 54 m².
• Answer: 54 m²

[Easy] Comparing Fractions

• EN: Which fraction is greater: 3/4 or 1/2?
• FR: Quelle fraction est plus grande : 3/4 ou 1/2 ?
• Choices: A) 1/2 B) 3/4 C) They are equal D) Cannot be compared
• Hint: Change to the same denominator to compare. 1/2 = 2/4. Now compare 3/4 and 2/4.
• Steps:
  • Convert 1/2 to fourths: 1/2 = 2/4.
  • Compare: 3/4 vs 2/4.
  • 3/4 is greater because 3 > 2.
• Answer: 3/4

[Medium] Long Division with Remainders

• EN: What is 57 ÷ 5?
• FR: Combien font 57 ÷ 5 ?
• Choices: A) 10 remainder 7 B) 11 remainder 2 C) 12 remainder 3 D) 13 remainder 2
• Hint: Divide, then find the remainder. 23 ÷ 4: 4 × 5 = 20, remainder = 23 − 20 = 3, so 5 remainder 3.
• Steps:
  • 5 × 11 = 55.
  • 57 − 55 = 2.
  • So 57 ÷ 5 = 11 remainder 2.
• Answer: 11 remainder 2

[Medium] Elapsed Time

• EN: Hockey practice starts at 2:15 p.m. and ends at 3:45 p.m. How long is the practice?
• FR: L'entraînement de hockey commence à 14 h 15 et se termine à 15 h 45. Combien de temps dure l'entraînement ?
• Choices: A) 1 hour 10 minutes B) 1 hour 20 minutes C) 1 hour 30 minutes D) 2 hours 30 minutes
• Hint: Count from the start time to the end time in steps. From 4:10 to 5:40: 50 minutes to 5:00, then 40 more = 1 hour 30 minutes.
• Steps:
  • From 2:15 to 3:15 is 1 hour.
  • From 3:15 to 3:45 is 30 more minutes.
  • Total: 1 hour 30 minutes.
• Answer: 1 hour 30 minutes

[Medium] Decimal Operations

• EN: What is 2.6 + 1.3?
• FR: Combien font 2,6 + 1,3 ?
• Choices: A) 3.6 B) 3.8 C) 3.9 D) 4.1
• Hint: Line up the decimal points and add as usual. 4.2 + 3.5: ones 4 + 3 = 7, tenths 2 + 5 = 7, so 7.7.
• Steps:
  • Ones: 2 + 1 = 3.
  • Tenths: 6 + 3 = 9.
  • So 2.6 + 1.3 = 3.9.
• Answer: 3.9

[Medium] Multiplication — Two-Digit

• EN: A bag holds 24 apples. How many apples are in 3 bags?
• FR: Un sac contient 24 pommes. Combien y a-t-il de pommes dans 3 sacs ?
• Choices: A) 62 apples B) 66 apples C) 72 apples D) 78 apples
• Hint: Multiply each part separately. 3 × 21: 3 × 20 = 60, 3 × 1 = 3, total = 63.
• Steps:
  • 3 × 24 = 3 × 20 + 3 × 4.
  • 3 × 20 = 60, 3 × 4 = 12.
  • 60 + 12 = 72 apples.
• Answer: 72 apples

[Hard] Multi-Step Word Problem

• EN: A school orders 6 boxes of pencils. Each box has 48 pencils. The school gives 50 pencils to each of 4 classrooms. How many pencils are left?
• FR: Une école commande 6 boîtes de crayons. Chaque boîte contient 48 crayons. L'école donne 50 crayons à chacune des 4 classes. Combien de crayons reste-t-il ?
• Choices: A) 68 pencils B) 80 pencils C) 88 pencils D) 92 pencils
• Hint: First find the total, then subtract what was given away. 4 boxes × 20 each = 80 total; 80 − 3 × 15 = 35 left.
• Steps:
  • Total pencils: 6 × 48 = 288.
  • Pencils given away: 4 × 50 = 200.
  • Left over: 288 − 200 = 88 pencils.
• Answer: 88 pencils

[Hard] Decimal Comparison

• EN: Order these decimals from least to greatest: 0.7, 0.07, 0.70. Which list is correct?
• FR: Ordonne ces décimaux du plus petit au plus grand : 0,7, 0,07, 0,70. Quelle liste est correcte ?
• Choices: A) 0.07, 0.70, 0.7 B) 0.07, 0.7, 0.70 C) 0.7, 0.70, 0.07 D) 0.70, 0.7, 0.07
• Hint: Compare digit by digit after the decimal point. 0.3 and 0.30 are equal; 0.03 is smaller than both.
• Steps:
  • 0.70 = 0.7 (they are equal values).
  • 0.07 has 7 hundredths; 0.7 has 7 tenths.
  • 7 tenths > 7 hundredths, so: 0.07 < 0.7 = 0.70.
  • Least to greatest: 0.07, 0.7, 0.70.
• Answer: 0.07, 0.7, 0.70

[Easy] Multi-Digit Multiplication

• EN: What is 34 × 6?
• FR: Combien font 34 × 6 ?
• Choices: A) 184 B) 200 C) 204 D) 210
• Hint: Break it apart: multiply 30 × 6 and 4 × 6, then add. 20 × 7 = 140, 3 × 7 = 21, total = 161.
• Steps:
  • 30 × 6 = 180.
  • 4 × 6 = 24.
  • 180 + 24 = 204.
• Answer: 204

[Easy] Adding Fractions with Like Denominators

• EN: What is 2/5 + 1/5?
• FR: Combien font 2/5 + 1/5 ?
• Choices: A) 3/5 B) 3/10 C) 4/5 D) 2/10
• Hint: When denominators are the same, just add the numerators. 3/8 + 2/8 = 5/8.
• Steps:
  • Same denominator (5), so add numerators: 2 + 1 = 3.
  • Keep the denominator: 3/5.
• Answer: 3/5

[Easy] Percentage Intro — 50%

• EN: What is 50% of 80?
• FR: Combien font 50 % de 80 ?
• Choices: A) 8 B) 20 C) 40 D) 50
• Hint: 50% means half. To find half of a number, divide by 2. Half of 60 = 30.
• Steps:
  • 50% = 1/2.
  • 80 ÷ 2 = 40.
  • 50% of 80 = 40.
• Answer: 40

[Easy] Decimal Addition

• EN: What is 3.45 + 2.30?
• FR: Combien font 3,45 + 2,30 ?
• Choices: A) 5.65 B) 5.70 C) 5.75 D) 6.75
• Hint: Line up the decimals and add column by column. 4.21 + 3.15 = 7.36.
• Steps:
  • Hundredths: 5 + 0 = 5.
  • Tenths: 4 + 3 = 7.
  • Ones: 3 + 2 = 5.
  • Answer: 5.75
• Answer: 5.75

[Medium] Multi-Digit Division

• EN: What is 196 ÷ 4?
• FR: Combien font 196 ÷ 4 ?
• Choices: A) 46 B) 47 C) 48 D) 49
• Hint: Divide step by step. For 126 ÷ 3: 12 ÷ 3 = 4, bring down 6, 6 ÷ 3 = 2, so answer is 42.
• Steps:
  • 4 goes into 19 four times (4 × 4 = 16), remainder 3.
  • Bring down 6: 36 ÷ 4 = 9.
  • So 196 ÷ 4 = 49.
• Answer: 49

[Medium] Subtracting Fractions

• EN: What is 5/6 − 2/6?
• FR: Combien font 5/6 − 2/6 ?
• Choices: A) 1/6 B) 2/6 C) 3/6 D) 7/6
• Hint: When denominators match, subtract only the numerators. 7/9 − 3/9 = 4/9.
• Steps:
  • Same denominator (6), subtract numerators: 5 − 2 = 3.
  • Keep the denominator: 3/6.
• Answer: 3/6

[Medium] Volume of a Rectangular Prism

• EN: A box is 5 cm long, 3 cm wide, and 4 cm tall. What is its volume?
• FR: Une boîte mesure 5 cm de long, 3 cm de large et 4 cm de haut. Quel est son volume ?
• Choices: A) 12 cm³ B) 30 cm³ C) 60 cm³ D) 94 cm³
• Hint: Volume = length × width × height. A box 2 × 3 × 6 has volume 2 × 3 × 6 = 36 cm³.
• Steps:
  • Volume = 5 × 3 × 4.
  • 5 × 3 = 15, then 15 × 4 = 60.
  • Volume = 60 cm³.
• Answer: 60 cm³

[Medium] 25% of a Number

• EN: What is 25% of 60?
• FR: Combien font 25 % de 60 ?
• Choices: A) 12 B) 15 C) 20 D) 25
• Hint: 25% means one quarter. To find 25%, divide by 4. 25% of 40 = 40 ÷ 4 = 10.
• Steps:
  • 25% = 1/4.
  • 60 ÷ 4 = 15.
  • 25% of 60 = 15.
• Answer: 15

[Hard] Multi-Step Decimal Problem

• EN: Zara buys 3 notebooks for $2.45 each and pays with a $10.00 bill. How much change does she receive?
• FR: Zara achète 3 cahiers à 2,45 $ chacun et paie avec un billet de 10,00 $. Combien de monnaie reçoit-elle ?
• Choices: A) $2.55 B) $2.65 C) $3.55 D) $4.65
• Hint: First find the total cost by multiplying, then subtract from the amount paid. 2 books × $3.50 = $7.00; $10.00 − $7.00 = $3.00 change.
• Steps:
  • Total cost: 3 × $2.45 = $7.35.
  • Change: $10.00 − $7.35 = $2.65.
• Answer: $2.65

[Hard] Fraction and Percentage Combined

• EN: A hockey team played 20 games. They won 3/4 of the games they played. What percent of games did they win?
• FR: Une équipe de hockey a joué 20 matchs. Elle en a gagné 3/4. Quel pourcentage de matchs a-t-elle gagné ?
• Choices: A) 60% B) 70% C) 75% D) 80%
• Hint: Convert the fraction to a percentage: multiply the fraction by 100. 1/2 × 100 = 50%, 1/4 × 100 = 25%.
• Steps:
  • 3/4 as a percentage: 3 ÷ 4 = 0.75.
  • 0.75 × 100 = 75%.
  • The team won 75% of their games.
• Answer: 75%

[Easy] Percent of a Number

• EN: What is 10% of 250?
• FR: Combien font 10 % de 250 ?
• Choices: A) 20 B) 25 C) 30 D) 35
• Hint: To find 10%, move the decimal one place to the left. 10% of 340 = 34.
• Steps:
  • 10% = 10/100 = 1/10.
  • 250 ÷ 10 = 25.
  • 10% of 250 = 25.
• Answer: 25

[Easy] Integer Introduction

• EN: The temperature in Winnipeg was −8°C in the morning and rose 12°C by afternoon. What was the afternoon temperature?
• FR: La température à Winnipeg était de −8°C le matin et a augmenté de 12°C dans l'après-midi. Quelle était la température l'après-midi ?
• Choices: A) 2°C B) 4°C C) 6°C D) 20°C
• Hint: Adding a positive number to a negative number: start at −8 and count up. From −5, adding 8 gives +3.
• Steps:
  • −8 + 12 = ?
  • Start at −8, move up 12 steps: −8, −7, −6, −5, −4, −3, −2, −1, 0, 1, 2, 3, 4.
  • −8 + 12 = 4°C.
• Answer: 4°C

[Easy] Order of Operations

• EN: What is 3 + 4 × 2?
• FR: Combien font 3 + 4 × 2 ?
• Choices: A) 10 B) 11 C) 12 D) 14
• Hint: BEDMAS — do multiplication before addition. In 5 + 3 × 2, multiply first: 3 × 2 = 6, then add 5: = 11.
• Steps:
  • Multiplication first: 4 × 2 = 8.
  • Then addition: 3 + 8 = 11.
• Answer: 11

[Easy] Ratios

• EN: In a bag there are 4 red marbles and 6 blue marbles. What is the ratio of red to blue marbles?
• FR: Dans un sac, il y a 4 billes rouges et 6 billes bleues. Quel est le rapport des billes rouges aux billes bleues ?
• Choices: A) 2:3 B) 3:2 C) 4:10 D) 6:4
• Hint: Write a ratio by simplifying. 6 red : 9 blue → divide both by 3 → 2:3.
• Steps:
  • Ratio: 4 red to 6 blue = 4:6.
  • Simplify by dividing both by 2: 4 ÷ 2 = 2, 6 ÷ 2 = 3.
  • Simplified ratio = 2:3.
• Answer: 2:3

[Medium] Fraction Multiplication

• EN: What is 2/3 × 3/4?
• FR: Combien font 2/3 × 3/4 ?
• Choices: A) 1/4 B) 5/12 C) 1/2 D) 6/7
• Hint: Multiply numerators together and denominators together. 3/5 × 2/3 = (3×2)/(5×3) = 6/15 = 2/5.
• Steps:
  • Numerators: 2 × 3 = 6.
  • Denominators: 3 × 4 = 12.
  • 6/12 = 1/2.
• Answer: 1/2

[Medium] Simple Algebraic Expression

• EN: If n = 5, what is the value of 3n + 7?
• FR: Si n = 5, quelle est la valeur de 3n + 7 ?
• Choices: A) 18 B) 20 C) 22 D) 28
• Hint: Substitute the value and follow BEDMAS. If n = 3, then 4n + 2 = 4 × 3 + 2 = 12 + 2 = 14.
• Steps:
  • Replace n with 5: 3(5) + 7.
  • 3 × 5 = 15.
  • 15 + 7 = 22.
• Answer: 22

[Medium] Rates

• EN: A car travels 240 km in 3 hours. What is its speed in km per hour?
• FR: Une voiture parcourt 240 km en 3 heures. Quelle est sa vitesse en km par heure ?
• Choices: A) 60 km/h B) 70 km/h C) 75 km/h D) 80 km/h
• Hint: Rate = total ÷ time. If you travel 150 km in 3 hours, rate = 150 ÷ 3 = 50 km/h.
• Steps:
  • Speed = distance ÷ time = 240 ÷ 3.
  • 240 ÷ 3 = 80.
  • The speed is 80 km/h.
• Answer: 80 km/h

[Medium] Fraction Division

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

[Hard] BEDMAS with Integers

• EN: What is (−3 + 7) × 2 − 10 ÷ 5?
• FR: Combien font (−3 + 7) × 2 − 10 ÷ 5 ?
• Choices: A) 4 B) 6 C) 8 D) 10
• Hint: Work inside brackets first, then ×/÷ left to right, then +/− left to right. (2 + 4) × 3 − 8 ÷ 2 = 6 × 3 − 4 = 18 − 4 = 14.
• Steps:
  • Brackets: −3 + 7 = 4.
  • Expression becomes: 4 × 2 − 10 ÷ 5.
  • Multiply and divide (left to right): 4 × 2 = 8; 10 ÷ 5 = 2.
  • Subtract: 8 − 2 = 6.
• Answer: 6

[Hard] Percent Problem

• EN: A pair of skates originally costs $120. They are on sale for 15% off. What is the sale price?
• FR: Une paire de patins coûte 120 $ à l'origine. Elle est en solde à 15 % de rabais. Quel est le prix de vente ?
• Choices: A) $96.00 B) $100.00 C) $102.00 D) $105.00
• Hint: Find the discount amount first, then subtract. 20% of $80 = $16; sale price = $80 − $16 = $64.
• Steps:
  • Discount: 15% of $120 = 0.15 × 120 = $18.
  • Sale price: $120 − $18 = $102.
• Answer: $102.00

[Easy] Integer Addition

• EN: What is −9 + 15?
• FR: Combien font −9 + 15 ?
• Choices: A) 4 B) 5 C) 6 D) 7
• Hint: On a number line, start at the negative number and move right (positive direction). From −4, moving +9 gives +5.
• Steps:
  • Start at −9, move 15 steps to the right.
  • −9 + 15 = 6.
• Answer: 6

[Easy] Percent Discount

• EN: A book costs $20.00 and is 10% off. What is the discount amount?
• FR: Un livre coûte 20,00 $ et est à 10 % de rabais. Quel est le montant du rabais ?
• Choices: A) $1.00 B) $2.00 C) $5.00 D) $10.00
• Hint: To find 10%, move the decimal one place left. 10% of $50 = $5.00.
• Steps:
  • 10% of $20 = $20 × 0.10.
  • $20 × 0.10 = $2.00.
• Answer: $2.00

[Easy] Integer Subtraction

• EN: What is 5 − (−3)?
• FR: Combien font 5 − (−3) ?
• Choices: A) 2 B) 5 C) 7 D) 8
• Hint: Subtracting a negative is the same as adding a positive. 4 − (−6) = 4 + 6 = 10.
• Steps:
  • 5 − (−3) = 5 + 3.
  • 5 + 3 = 8.
• Answer: 8

[Easy] One-Step Equation

• EN: Solve: x + 9 = 16.
• FR: Résous : x + 9 = 16.
• Choices: A) x = 5 B) x = 6 C) x = 7 D) x = 8
• Hint: Undo the operation by doing the opposite. If n + 4 = 11, subtract 4 from both sides: n = 7.
• Steps:
  • Subtract 9 from both sides: x + 9 − 9 = 16 − 9.
  • x = 7.
• Answer: x = 7

[Medium] Tax Calculation

• EN: A hockey jersey costs $45.00. HST is 13%. What is the total price including tax?
• FR: Un chandail de hockey coûte 45,00 $. La TVH est de 13 %. Quel est le prix total taxes incluses ?
• Choices: A) $49.35 B) $50.35 C) $50.85 D) $51.35
• Hint: Find the tax amount, then add it to the original price. Tax on $60 at 10% = $6; total = $66.
• Steps:
  • Tax: 13% of $45 = 0.13 × 45 = $5.85.
  • Total: $45.00 + $5.85 = $50.85.
• Answer: $50.85

[Medium] Surface Area of a Rectangular Prism

• EN: A box is 5 cm long, 3 cm wide, and 2 cm tall. What is its total 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) 52 cm² C) 62 cm² D) 72 cm²
• Hint: A rectangular box has 3 pairs of faces. SA = 2(lw + lh + wh). For a 4 × 2 × 3 box: 2(8 + 12 + 6) = 2(26) = 52 cm².
• Steps:
  • Face pairs: lw = 5×3 = 15, lh = 5×2 = 10, wh = 3×2 = 6.
  • SA = 2(15 + 10 + 6) = 2(31) = 62 cm².
• Answer: 62 cm²

[Medium] Integer Multiplication

• EN: What is (−4) × (−6)?
• FR: Combien font (−4) × (−6) ?
• Choices: A) −24 B) −10 C) 10 D) 24
• Hint: Negative × negative = positive. (−3) × (−5) = +15.
• Steps:
  • (−4) × (−6): both negative, so product is positive.
  • 4 × 6 = 24.
  • Answer: 24
• Answer: 24

[Medium] Probability

• EN: A bag has 3 red balls, 4 green balls, and 3 blue balls. If one ball is picked at random, what is the probability of picking a green ball?
• FR: Un sac contient 3 balles rouges, 4 balles vertes et 3 balles bleues. Si on pige une balle au hasard, quelle est la probabilité de piger une balle verte ?
• Choices: A) 3/10 B) 2/5 C) 1/2 D) 7/10
• Hint: Probability = favourable outcomes ÷ total outcomes. If 2 of 8 marbles are yellow, P(yellow) = 2/8 = 1/4.
• Steps:
  • Total balls: 3 + 4 + 3 = 10.
  • Favourable (green): 4.
  • P(green) = 4/10 = 2/5.
• Answer: 2/5

[Hard] Multi-Step Percent Problem

• EN: Mia earned $250 babysitting. She spent 20% on a gift and saved the rest. How much money did she save?
• FR: Mia a gagné 250 $ en gardant des enfants. Elle a dépensé 20 % en cadeau et a épargné le reste. Combien a-t-elle épargné ?
• Choices: A) $175 B) $180 C) $195 D) $200
• Hint: Find what was spent, then subtract from the total. 30% of $300 = $90 spent; $300 − $90 = $210 saved.
• Steps:
  • 20% of $250 = 0.20 × 250 = $50 spent.
  • Amount saved: $250 − $50 = $200.
• Answer: $200

[Hard] Two-Operation Integer Problem

• EN: What is (−18) ÷ 3 + (−2) × 4?
• FR: Combien font (−18) ÷ 3 + (−2) × 4 ?
• Choices: A) −14 B) −12 C) −10 D) −8
• Hint: Follow BEDMAS. Do division and multiplication before addition. (−12) ÷ 4 + (−3) × 2 = −3 + (−6) = −9.
• Steps:
  • Division: (−18) ÷ 3 = −6.
  • Multiplication: (−2) × 4 = −8.
  • Addition: −6 + (−8) = −14.
• Answer: −14

[Easy] Perfect Squares

• EN: What is √144?
• FR: Combien fait √144 ?
• Choices: A) 10 B) 11 C) 12 D) 14
• Hint: Ask yourself: what number times itself gives the answer? 9 × 9 = 81, so √81 = 9.
• Steps:
  • Think: what number × itself = 144?
  • 12 × 12 = 144.
  • √144 = 12.
• Answer: 12

[Easy] Mean

• EN: Find the mean of these five numbers: 4, 8, 6, 10, 2.
• FR: Trouve la moyenne de ces cinq nombres : 4, 8, 6, 10, 2.
• Choices: A) 5 B) 6 C) 7 D) 8
• Hint: Mean = sum ÷ count. For 3, 7, 5: sum = 15, count = 3, mean = 5.
• Steps:
  • Sum: 4 + 8 + 6 + 10 + 2 = 30.
  • Count: 5 numbers.
  • Mean = 30 ÷ 5 = 6.
• Answer: 6

[Easy] Two-Step Equation

• EN: Solve: 2x + 3 = 11.
• FR: Résous : 2x + 3 = 11.
• Choices: A) x = 3 B) x = 4 C) x = 5 D) x = 7
• Hint: Undo in reverse order: subtract the constant first, then divide. For 3x + 5 = 14: 3x = 9, x = 3.
• Steps:
  • Subtract 3 from both sides: 2x = 8.
  • Divide both sides by 2: x = 4.
• Answer: x = 4

[Easy] Percent Increase

• EN: A price increases from $40 to $50. What is the percent increase?
• FR: Un prix augmente de 40 $ à 50 $. Quel est le pourcentage d'augmentation ?
• Choices: A) 10% B) 20% C) 25% D) 40%
• Hint: Percent increase = (increase ÷ original) × 100. A price goes from $20 to $25: increase = $5, so 5/20 × 100 = 25%.
• Steps:
  • Increase: 50 − 40 = 10.
  • Percent increase: 10 ÷ 40 × 100 = 25%.
• Answer: 25%

[Medium] Pythagorean Theorem

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

[Medium] Slope Introduction

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

[Medium] Median and Mode

• EN: Find the median of this data set: 3, 7, 7, 9, 12.
• FR: Trouve la médiane de cet ensemble de données : 3, 7, 7, 9, 12.
• Choices: A) 3 B) 7 C) 9 D) 12
• Hint: The median is the middle value when data is ordered. In 2, 5, 8, 11, 14, the middle (3rd) value is 8.
• Steps:
  • Data is already in order: 3, 7, 7, 9, 12.
  • Middle value (3rd of 5): 7.
  • Median = 7.
• Answer: 7

[Medium] Two-Step Equation with Negatives

• EN: Solve: 3x − 5 = 16.
• FR: Résous : 3x − 5 = 16.
• Choices: A) x = 5 B) x = 6 C) x = 7 D) x = 8
• Hint: Add 5 to both sides first, then divide. For 4x − 3 = 13: 4x = 16, x = 4.
• Steps:
  • Add 5 to both sides: 3x = 21.
  • Divide by 3: x = 7.
• Answer: x = 7

[Hard] Pythagorean Theorem — Reverse

• 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 une cathète de 5 cm. Quelle est l'autre cathète ?
• Choices: A) 8 cm B) 10 cm C) 11 cm D) 12 cm
• Hint: Rearrange: b² = c² − a². For hypotenuse 10 and leg 6: b² = 100 − 36 = 64, b = 8.
• Steps:
  • b² = 13² − 5² = 169 − 25 = 144.
  • b = √144 = 12 cm.
• Answer: 12 cm

[Hard] Percent Decrease — Real Life

• EN: A coat was originally $180. After a sale, it costs $126. What is the percent decrease?
• FR: Un manteau coûtait à l'origine 180 $. Après une vente, il coûte 126 $. Quel est le pourcentage de réduction ?
• Choices: A) 25% B) 28% C) 30% D) 33%
• Hint: Percent decrease = (decrease ÷ original) × 100. Price drops from $200 to $150: decrease = $50; 50/200 × 100 = 25%.
• Steps:
  • Decrease: $180 − $126 = $54.
  • Percent decrease: 54 ÷ 180 × 100 = 30%.
• Answer: 30%

[Easy] Solving a Linear Equation

• EN: Solve: 4x − 8 = 12.
• FR: Résous : 4x − 8 = 12.
• Choices: A) x = 4 B) x = 5 C) x = 6 D) x = 7
• Hint: Add the constant to both sides, then divide. For 5x − 10 = 15: 5x = 25, x = 5.
• Steps:
  • Add 8 to both sides: 4x = 20.
  • Divide by 4: x = 5.
• Answer: x = 5

[Easy] Graphing — Slope-Intercept Form

• EN: A line has equation y = 3x + 1. What is the y-intercept?
• FR: Une droite a pour équation y = 3x + 1. Quel est l'ordonnée à l'origine ?
• Choices: A) 0 B) 1 C) 3 D) 4
• Hint: In y = mx + b, the y-intercept is the value of b (where the line crosses the y-axis). For y = 5x + 7, the y-intercept is 7.
• Steps:
  • y = 3x + 1 is in y = mx + b form.
  • b = 1, so the y-intercept is 1.
• Answer: 1

[Easy] Adding Polynomials

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

[Easy] Linear Inequality

• EN: Solve the inequality: x + 3 > 7.
• FR: Résous l'inégalité : x + 3 > 7.
• Choices: A) x > 2 B) x > 3 C) x > 4 D) x > 10
• Hint: Solve like an equation — subtract from both sides. For x + 5 > 9: x > 4.
• Steps:
  • Subtract 3 from both sides: x > 7 − 3.
  • x > 4.
• Answer: x > 4

[Medium] Multiplying Polynomials

• EN: Expand: 3x(2x + 5).
• FR: Développe : 3x(2x + 5).
• Choices: A) 5x² + 8x B) 6x² + 8x C) 6x² + 15x D) 9x² + 15x
• Hint: Multiply the term outside by each term inside the brackets. 4y(y + 3) = 4y² + 12y.
• Steps:
  • 3x × 2x = 6x².
  • 3x × 5 = 15x.
  • Result: 6x² + 15x.
• Answer: 6x² + 15x

[Medium] Similar Triangles

• EN: Two similar triangles have corresponding sides in ratio 2:5. If the smaller triangle has a side of 6 cm, what is the corresponding side of the larger triangle?
• FR: Deux triangles semblables ont des côtés correspondants dans le rapport 2:5. Si le petit triangle a un côté de 6 cm, quel est le côté correspondant du grand triangle ?
• Choices: A) 12 cm B) 15 cm C) 18 cm D) 20 cm
• Hint: Set up a proportion. If ratio is 3:7 and small side is 9, then 3/7 = 9/x, so x = 21.
• Steps:
  • 2/5 = 6/x.
  • Cross-multiply: 2x = 30.
  • x = 15 cm.
• Answer: 15 cm

[Medium] Trigonometry — SOH

• EN: In a right triangle, the opposite side is 4 cm and the hypotenuse is 8 cm. What is sin(θ)?
• FR: Dans un triangle rectangle, le côté opposé mesure 4 cm et l'hypoténuse mesure 8 cm. Combien fait sin(θ) ?
• Choices: A) 1/4 B) 1/3 C) 1/2 D) 2/3
• Hint: SOH: sin = opposite ÷ hypotenuse. If opposite = 3 and hypotenuse = 6, sin(θ) = 3/6 = 1/2.
• Steps:
  • sin(θ) = opposite ÷ hypotenuse.
  • sin(θ) = 4 ÷ 8 = 1/2.
• Answer: 1/2

[Medium] Statistics — Reading Data

• EN: The ages of 5 students are: 13, 15, 14, 13, 15. What is the mode?
• FR: Les âges de 5 élèves sont : 13, 15, 14, 13, 15. Quel est le mode ?
• Choices: A) 13 only B) 14 only C) 13 and 15 D) 15 only
• Hint: The mode is the value that appears most often. In 2, 4, 4, 7, 9, the mode is 4.
• Steps:
  • Count each value: 13 appears 2 times, 14 appears 1 time, 15 appears 2 times.
  • Both 13 and 15 appear most often.
  • Mode = 13 and 15.
• Answer: 13 and 15

[Hard] System of Linear Equations

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

[Hard] Trigonometry — Finding an Angle

• EN: In a right triangle, the adjacent side is 5 cm and the hypotenuse is 10 cm. What angle θ satisfies cos(θ) = 5/10?
• FR: Dans un triangle rectangle, le côté adjacent mesure 5 cm et l'hypoténuse mesure 10 cm. Quel angle θ satisfait cos(θ) = 5/10 ?
• Choices: A) 30° B) 45° C) 60° D) 90°
• Hint: Use known cosine values. cos(60°) = 1/2, cos(45°) = √2/2 ≈ 0.707, cos(30°) = √3/2 ≈ 0.866.
• Steps:
  • cos(θ) = 5/10 = 1/2.
  • From the unit circle: cos(60°) = 1/2.
  • θ = 60°.
• Answer: 60°

[Easy] Factoring a Quadratic

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

[Easy] Trigonometry — Finding a Side

• EN: In a right triangle, angle θ = 30°, hypotenuse = 10 cm. What is the opposite side? (sin 30° = 0.5)
• FR: Dans un triangle rectangle, l'angle θ = 30°, l'hypoténuse = 10 cm. Quel est le côté opposé ? (sin 30° = 0,5)
• Choices: A) 4 cm B) 5 cm C) 6 cm D) 8 cm
• Hint: Use SOH: sin(θ) = opposite/hypotenuse, so opposite = hypotenuse × sin(θ). sin(45°) = 0.707; if hyp = 8, opposite = 5.66.
• Steps:
  • opposite = hypotenuse × sin(30°).
  • opposite = 10 × 0.5 = 5 cm.
• Answer: 5 cm

[Easy] System of Equations — Substitution

• EN: Solve: y = 2x and x + y = 12. What is x?
• FR: Résous : y = 2x et x + y = 12. Quelle est la valeur de x ?
• Choices: A) x = 3 B) x = 4 C) x = 6 D) x = 8
• Hint: Substitute the first equation into the second. If y = 3x and x + y = 8, then x + 3x = 8, so 4x = 8, x = 2.
• Steps:
  • Substitute y = 2x into x + y = 12: x + 2x = 12.
  • 3x = 12, so x = 4.
• Answer: x = 4

[Easy] Volume of a Cylinder

• EN: A cylindrical can has radius 3 cm and height 10 cm. What is its volume? (Use π ≈ 3.14)
• FR: Une boîte de conserve cylindrique a un rayon de 3 cm et une hauteur de 10 cm. Quel est son volume ? (Utilise π ≈ 3,14)
• Choices: A) 188.4 cm³ B) 210.4 cm³ C) 282.6 cm³ D) 314 cm³
• Hint: Volume of cylinder = π × r² × h. For r = 2, h = 5: V = 3.14 × 4 × 5 = 62.8 cm³.
• Steps:
  • V = π × r² × h = 3.14 × 3² × 10.
  • 3² = 9.
  • V = 3.14 × 9 × 10 = 282.6 cm³.
• Answer: 282.6 cm³

[Medium] Completing the Square

• EN: Solve by completing the square: x² + 4x − 5 = 0. What are the solutions?
• FR: Résous en complétant le carré : x² + 4x − 5 = 0. Quelles sont les solutions ?
• Choices: A) x = 1 and x = −5 B) x = 2 and x = −4 C) x = 3 and x = −5 D) x = 5 and x = −1
• Hint: Move the constant, complete the square, then solve. For x² + 6x − 7 = 0: (x+3)² = 16; x = 1 or x = −7.
• Steps:
  • x² + 4x = 5.
  • Add (4/2)² = 4 to both sides: (x + 2)² = 9.
  • x + 2 = ±3; x = 1 or x = −5.
• Answer: x = 1 and x = −5

[Medium] Circle Geometry

• EN: A circle has a central angle of 80°. What is the inscribed angle that subtends the same arc?
• FR: Un cercle a un angle au centre de 80°. Quel est l'angle inscrit qui sous-tend le même arc ?
• Choices: A) 20° B) 40° C) 80° D) 160°
• Hint: The inscribed angle theorem states that the inscribed angle is half the central angle subtending the same arc. Central 60° → inscribed = 30°.
• Steps:
  • Inscribed angle = central angle ÷ 2.
  • 80° ÷ 2 = 40°.
• Answer: 40°

[Medium] Quadratic Formula

• EN: Solve: x² − 7x + 10 = 0. What are the solutions?
• FR: Résous : x² − 7x + 10 = 0. Quelles sont les solutions ?
• Choices: A) x = 2 and x = 5 B) x = 3 and x = 4 C) x = 1 and x = 10 D) x = 4 and x = 6
• Hint: Try factoring first. Find two numbers that multiply to 10 and add to −7: −2 and −5.
• Steps:
  • Factor: (x − 2)(x − 5) = 0.
  • x − 2 = 0 → x = 2; x − 5 = 0 → x = 5.
• Answer: x = 2 and x = 5

[Medium] Surface Area of a Cone

• EN: A cone has radius 4 cm and slant height 9 cm. What is its total surface area? (Use π ≈ 3.14)
• FR: Un cône a un rayon de 4 cm et une hauteur oblique de 9 cm. Quelle est son aire totale ? (Utilise π ≈ 3,14)
• Choices: A) 113.04 cm² B) 138.16 cm² C) 163.28 cm² D) 176.96 cm²
• Hint: SA of a cone = πr² + πrl, where l is slant height. For r = 3, l = 7: SA = 3.14(9) + 3.14(3)(7) = 28.26 + 65.94 = 94.2 cm².
• Steps:
  • Base area: πr² = 3.14 × 16 = 50.24 cm².
  • Lateral area: πrl = 3.14 × 4 × 9 = 113.04 cm².
  • Total SA = 50.24 + 113.04 = 163.28 cm².
• Answer: 163.28 cm²

[Hard] Systems — Elimination

• EN: Solve the system: 3x + 2y = 16 and 5x − 2y = 8. What is y?
• FR: Résous le système : 3x + 2y = 16 et 5x − 2y = 8. Quelle est la valeur de y ?
• Choices: A) y = 1 B) y = 2 C) y = 3 D) y = 5
• Hint: Add the equations to eliminate y. Then substitute back to find y. 2a + 3b = 13 and 4a − 3b = 5: add to get 6a = 18, a = 3, then b = (13−6)/3 = 7/3.
• Steps:
  • Add equations: 8x = 24, so x = 3.
  • Substitute x = 3 into 3(3) + 2y = 16: 9 + 2y = 16, 2y = 7 — wait, let me re-check.
  • 3(3) + 2y = 16 → 9 + 2y = 16 → 2y = 7. That gives y = 3.5, which is not an integer choice.
  • Re-check: 3x + 2y = 16; 5x − 2y = 8. Add: 8x = 24, x = 3. Then 9 + 2y = 16, 2y = 7, y = 3.5.
  • Revise: use x = 3: 5(3) − 2y = 8 → 15 − 2y = 8 → 2y = 7 → y = 3.5.
  • Since y = 3.5 does not match any choice, re-examine — use 3x + 2y = 16: if x = 4, 12 + 2y = 16, y = 2. Check: 5(4) − 2(2) = 20 − 4 = 16 ≠ 8.
  • Use corrected system: 3x + 2y = 20 and 5x − 2y = 12. Add: 8x = 32, x = 4. Then 12 + 2y = 20, 2y = 8, y = 4. Still not matching cleanly.
  • Correct approach — let's set system so y = 3. Use 3(3) + 2(3) = 9 + 6 = 15 ≠ 16.
  • Final corrected: system 3x + 2y = 15 and 5x − 2y = 9. Add: 8x = 24, x = 3. 9 + 2y = 15, y = 3.
  • Using the corrected problem values in the answer output: the problem states 3x + 2y = 15 and 5x − 2y = 9. x = 3, y = 3.

[Note: Correcting the problem to ensure integer answer — see steps below for the published version.]

• EN: Solve the system: 3x + 2y = 15 and 5x − 2y = 9. What is y?
• FR: Résous le système : 3x + 2y = 15 et 5x − 2y = 9. Quelle est la valeur de y ?
• Choices: A) y = 1 B) y = 2 C) y = 3 D) y = 5
• Hint: Add the equations to eliminate y, solve for x, then substitute back. 2a + 3b = 12 and 4a − 3b = 6: add → 6a = 18, a = 3; then 6 + 3b = 12, b = 2.
• Steps:
  • Add equations: 8x = 24, so x = 3.
  • Substitute x = 3: 3(3) + 2y = 15 → 9 + 2y = 15 → 2y = 6 → y = 3.
• Answer: y = 3

[Hard] Quadratic Discriminant

• EN: How many real solutions does x² − 4x + 7 = 0 have?
• FR: Combien de solutions réelles l'équation x² − 4x + 7 = 0 possède-t-elle ?
• Choices: A) None B) Exactly one C) Exactly two D) Infinitely many
• Hint: Calculate the discriminant: Δ = b² − 4ac. If Δ > 0: two solutions; Δ = 0: one solution; Δ < 0: no real solutions. For x² − 2x + 5: Δ = 4 − 20 = −16 < 0, so no real solutions.
• Steps:
  • a = 1, b = −4, c = 7.
  • Δ = (−4)² − 4(1)(7) = 16 − 28 = −12.
  • Δ < 0, so there are no real solutions.
• Answer: None

[Easy] Exponential Function

• EN: A population doubles every year. If it starts at 50, what is the population after 3 years?
• FR: Une population double chaque année. Si elle commence à 50, quelle sera la population après 3 ans ?
• Choices: A) 200 B) 300 C) 400 D) 500
• Hint: Use P = P₀ × 2ⁿ. If P₀ = 10 and n = 2: P = 10 × 2² = 10 × 4 = 40.
• Steps:
  • P = 50 × 2³.
  • 2³ = 8.
  • P = 50 × 8 = 400.
• Answer: 400

[Easy] Arithmetic Sequence

• EN: Find the 6th term of the arithmetic sequence: 3, 7, 11, 15, …
• FR: Trouve le 6e terme de la suite arithmétique : 3, 7, 11, 15, …
• Choices: A) 19 B) 21 C) 23 D) 25
• Hint: Use aₙ = a₁ + (n − 1)d. For 2, 5, 8, 11 with d = 3: a₅ = 2 + (4)(3) = 14.
• Steps:
  • d = 7 − 3 = 4, a₁ = 3, n = 6.
  • a₆ = 3 + (6 − 1)(4) = 3 + 20 = 23.
• Answer: 23

[Easy] Logarithm Introduction

• EN: What is log₂(8)?
• FR: Combien fait log₂(8) ?
• Choices: A) 2 B) 3 C) 4 D) 8
• Hint: log_b(x) = n means bⁿ = x. log₃(27) = 3 because 3³ = 27.
• Steps:
  • Ask: 2 to what power equals 8?
  • 2³ = 8.
  • log₂(8) = 3.
• Answer: 3

[Easy] Compound Interest

• EN: $1 000 is invested at 5% interest compounded annually for 2 years. What is the amount after 2 years?
• FR: 1 000 $ sont investis à 5 % d'intérêt composé annuellement pendant 2 ans. Quel est le montant après 2 ans ?
• Choices: A) $1 050.00 B) $1 100.00 C) $1 102.50 D) $1 110.25
• Hint: Use A = P(1 + r)ⁿ. For $500 at 4% for 2 years: A = 500(1.04)² = 500 × 1.0816 = $540.80.
• Steps:
  • A = 1000 × (1 + 0.05)².
  • (1.05)² = 1.1025.
  • A = 1000 × 1.1025 = $1 102.50.
• Answer: $1 102.50

[Medium] Quadratic Function — Vertex

• EN: What is the vertex of the parabola y = x² − 6x + 8?
• FR: Quel est le sommet de la parabole y = x² − 6x + 8 ?
• Choices: A) (2, 0) B) (3, −1) C) (4, 0) D) (6, 8)
• Hint: Complete the square or use x = −b/(2a) to find the vertex x-value, then substitute. For y = x² − 4x + 3: x = 4/2 = 2; y = 4 − 8 + 3 = −1; vertex (2, −1).
• Steps:
  • x-coordinate: −(−6)/(2 × 1) = 3.
  • y-coordinate: (3)² − 6(3) + 8 = 9 − 18 + 8 = −1.
  • Vertex: (3, −1).
• Answer: (3, −1)

[Medium] Geometric Series Sum

• EN: Find the sum of the first 4 terms of the geometric series: 2, 6, 18, 54.
• FR: Trouve la somme des 4 premiers termes de la suite géométrique : 2, 6, 18, 54.
• Choices: A) 62 B) 70 C) 78 D) 80
• Hint: Just add the given terms for a short series. For 1, 3, 9, 27: sum = 1 + 3 + 9 + 27 = 40.
• Steps:
  • Sum = 2 + 6 + 18 + 54.
  • 2 + 6 = 8; 8 + 18 = 26; 26 + 54 = 80.
• Answer: 80

[Medium] Trigonometric Identity

• EN: Which identity is correct?
• FR: Quelle identité est correcte ?
• Choices: A) sin²θ + cos²θ = 0 B) sin²θ + cos²θ = 1 C) sin²θ − cos²θ = 1 D) sinθ × cosθ = 1
• Hint: The Pythagorean identity is one of the most fundamental in trigonometry. Think of a unit circle where both sin and cos represent sides of a right triangle with hypotenuse 1.
• Steps:
  • On the unit circle, sin²θ + cos²θ equals the square of the hypotenuse = 1² = 1.
  • The identity is sin²θ + cos²θ = 1.
• Answer: sin²θ + cos²θ = 1

[Medium] Annuity — Future Value

• EN: Chloe deposits $200 at the end of each year for 3 years at 5% interest compounded annually. What is the approximate future value? (Use FV = 200(1.05² + 1.05 + 1))
• FR: Chloé dépose 200 $ à la fin de chaque année pendant 3 ans à 5 % d'intérêt composé annuellement. Quelle est la valeur future approximative ? (Utilise FV = 200(1,05² + 1,05 + 1))
• Choices: A) $600.00 B) $620.25 C) $630.50 D) $661.00
• Hint: Each deposit earns interest for a different number of years. Add the future values of each separate deposit. $100 per year for 2 years at 4%: 100(1.04 + 1) = $204.
• Steps:
  • 1.05² = 1.1025; 1.05¹ = 1.05; last deposit = 1.
  • Sum of multipliers: 1.1025 + 1.05 + 1 = 3.1525.
  • FV = 200 × 3.1525 = $630.50.
• Answer: $630.50

[Hard] Logarithm Equation

• EN: Solve: log₃(x) + log₃(x − 2) = 1.
• FR: Résous : log₃(x) + log₃(x − 2) = 1.
• Choices: A) x = 2 B) x = 3 C) x = 4 D) x = 9
• Hint: Use the product rule: logb(A) + logb(B) = log_b(A×B). Then convert to exponential form. log₂(x) + log₂(x+2) = 3 → x(x+2) = 8 → x² + 2x − 8 = 0 → x = 2 (positive root).
• Steps:
  • Combine: log₃(x(x − 2)) = 1.
  • Exponential form: x(x − 2) = 3¹ = 3.
  • x² − 2x − 3 = 0 → (x − 3)(x + 1) = 0 → x = 3 or x = −1.
  • Since x must be positive (domain): x = 3.
• Answer: x = 3

[Hard] Exponential Growth — Compound Decay

• EN: A car worth $24 000 depreciates at 15% per year. What is its value after 2 years? (Round to the nearest dollar.)
• FR: Une voiture d'une valeur de 24 000 $ se déprécie de 15 % par année. Quelle est sa valeur après 2 ans ? (Arrondis au dollar près.)
• Choices: A) $16 800 B) $17 340 C) $18 200 D) $19 400
• Hint: Use V = P(1 − r)ⁿ for depreciation. For $10 000 at 10% for 2 years: V = 10 000(0.9)² = 10 000 × 0.81 = $8 100.
• Steps:
  • V = 24 000 × (1 − 0.15)².
  • (0.85)² = 0.7225.
  • V = 24 000 × 0.7225 = $17 340.
• Answer: $17 340

[Easy] Permutations

• EN: How many ways can 4 different books be arranged on a shelf?
• FR: De combien de façons peut-on arranger 4 livres différents sur une étagère ?
• Choices: A) 12 B) 16 C) 24 D) 48
• Hint: The number of arrangements of n distinct objects is n!. For 3 objects: 3! = 3 × 2 × 1 = 6.
• Steps:
  • 4! = 4 × 3 × 2 × 1.
  • 4 × 3 = 12; 12 × 2 = 24; 24 × 1 = 24.
  • There are 24 arrangements.
• Answer: 24

[Easy] Derivative — Power Rule

• EN: If f(x) = x³, what is f′(x)?
• FR: Si f(x) = x³, quelle est f′(x) ?
• Choices: A) x² B) 2x² C) 3x² D) 3x³
• Hint: Power rule: if f(x) = xⁿ, then f′(x) = n·xⁿ⁻¹. For f(x) = x⁵, f′(x) = 5x⁴.
• Steps:
  • f(x) = x³, so n = 3.
  • f′(x) = 3 · x^(3−1) = 3x².
• Answer: 3x²

[Easy] Combinations

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

[Easy] Polynomial Function — End Behaviour

• EN: For the polynomial f(x) = −2x⁴ + 3x − 1, what describes the end behaviour as x → +∞?
• FR: Pour le polynôme f(x) = −2x⁴ + 3x − 1, que décrit le comportement aux extrémités quand x → +∞ ?
• Choices: A) f(x) → +∞ B) f(x) → −∞ C) f(x) → 0 D) f(x) → 1
• Hint: For even-degree polynomials, both ends go in the same direction. If the leading coefficient is negative, both ends go to −∞. For −3x², as x → ±∞, y → −∞.
• Steps:
  • Leading term: −2x⁴ (even degree, negative coefficient).
  • As x → +∞, −2x⁴ → −∞.
• Answer: f(x) → −∞

[Medium] Rate of Change — Derivative

• EN: Find the derivative of f(x) = 4x² + 3x − 7.
• FR: Trouve la dérivée de f(x) = 4x² + 3x − 7.
• Choices: A) 4x + 3 B) 8x + 3 C) 8x − 7 D) 4x² + 3
• Hint: Differentiate term by term using the power rule. For 5x³ + 2x: d/dx = 15x² + 2.
• Steps:
  • d/dx(4x²) = 8x.
  • d/dx(3x) = 3.
  • d/dx(−7) = 0.
  • f′(x) = 8x + 3.
• Answer: 8x + 3

[Medium] Probability Distribution

• EN: A fair coin is tossed 3 times. What is the probability of getting exactly 2 heads?
• FR: On lance une pièce de monnaie équitable 3 fois. Quelle est la probabilité d'obtenir exactement 2 faces ?
• Choices: A) 1/4 B) 1/3 C) 3/8 D) 1/2
• Hint: Use the binomial probability formula: P = C(n, k) × pᵏ × (1−p)ⁿ⁻ᵏ. For 2 heads in 4 flips: C(4,2) × (0.5)² × (0.5)² = 6/16 = 3/8.
• Steps:
  • P = C(3, 2) × (0.5)² × (0.5)¹.
  • C(3, 2) = 3.
  • P = 3 × 0.25 × 0.5 = 3 × 0.125 = 3/8.
• Answer: 3/8

[Medium] Rational Function — Asymptote

• EN: What is the vertical asymptote of f(x) = 5 ÷ (x − 4)?
• FR: Quelle est l'asymptote verticale de f(x) = 5 ÷ (x − 4) ?
• Choices: A) x = 0 B) x = 4 C) x = 5 D) y = 4
• Hint: The vertical asymptote occurs where the denominator equals zero. For f(x) = 3/(x + 7), denominator = 0 when x = −7.
• Steps:
  • Set denominator = 0: x − 4 = 0.
  • x = 4 is the vertical asymptote.
• Answer: x = 4

[Medium] Vectors — Addition

• EN: Vector a = (3, 5) and vector b = (−1, 4). What is a + b?
• FR: Le vecteur a = (3, 5) et le vecteur b = (−1, 4). Combien font a + b ?
• Choices: A) (2, 8) B) (2, 9) C) (4, 9) D) (4, 1)
• Hint: Add corresponding components. (2, 7) + (3, −1) = (5, 6).
• Steps:
  • x-component: 3 + (−1) = 2.
  • y-component: 5 + 4 = 9.
  • a + b = (2, 9).
• Answer: (2, 9)

[Hard] Derivative — Instantaneous Rate of Change

• EN: The height of a ball (in metres) is h(t) = −5t² + 20t + 1. At what time t (in seconds) is the ball at its maximum height?
• FR: La hauteur d'un ballon (en mètres) est h(t) = −5t² + 20t + 1. À quel moment t (en secondes) le ballon atteint-il sa hauteur maximale ?
• Choices: A) t = 1 s B) t = 2 s C) t = 4 s D) t = 5 s
• Hint: The maximum occurs where h′(t) = 0. Find h′(t) using the power rule, set it equal to zero, and solve. For h(t) = −4t² + 16t: h′(t) = −8t + 16 = 0, t = 2.
• Steps:
  • h′(t) = −10t + 20.
  • Set h′(t) = 0: −10t + 20 = 0 → t = 2.
  • The ball reaches maximum height at t = 2 s.
• Answer: t = 2 s

[Hard] Counting — Advanced Combinations

• EN: A committee of 3 is chosen from 4 girls and 3 boys. How many committees have at least 2 girls?
• FR: Un comité de 3 personnes est choisi parmi 4 filles et 3 garçons. Combien de comités ont au moins 2 filles ?
• Choices: A) 14 B) 16 C) 18 D) 22
• Hint: "At least 2 girls" means exactly 2 girls OR exactly 3 girls. Calculate each case and add. For at least 2 from 3 girls and 2 boys choosing 3: C(3,2)×C(2,1) + C(3,3) = 6 + 1 = 7.
• Steps:
  • Exactly 2 girls, 1 boy: C(4, 2) × C(3, 1) = 6 × 3 = 18.
  • Exactly 3 girls, 0 boys: C(4, 3) × C(3, 0) = 4 × 1 = 4.
  • Total: 18 + 4 = 22.
• Answer: 22