Daily Math — 2026-07-03

[Easy] Counting Crayons

• EN: Mia has 7 crayons. She gets 5 more. How many crayons does she have now?
• FR: Mia a 7 crayons. Elle en reçoit 5 de plus. Combien de crayons a-t-elle maintenant?
• Choices: A) 10 B) 11 C) 12 D) 13
• Hint: To add two numbers, count on from the bigger number.
• Steps:
  • Start at 7.
  • Count on 5 more: 8, 9, 10, 11, 12.
• Answer: 12

[Easy] Hockey Pucks

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

[Easy] Skip Count by 2s

• EN: Skip count by 2s. What comes next? 2, 4, 6, 8, ___
• FR: Compte de 2 en 2. Quel est le prochain nombre? 2, 4, 6, 8, ___
• Choices: A) 9 B) 10 C) 11 D) 12
• Hint: Each jump in the pattern adds 2 to the last number.
• Steps:
  • The pattern adds 2 each time.
  • 8 + 2 = 10.
• Answer: 10

[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: Think about the names: penny = 1¢, nickel = 5¢, dime = 10¢.
• Steps:
  • A penny is 1 cent.
  • A dime is 10 cents.
• Answer: Dime

[Medium] Snowballs

• EN: Luca made 14 snowballs. He threw 6. How many snowballs does he still have?
• FR: Luca a fait 14 boules de neige. Il en a lancé 6. Combien lui en reste-t-il?
• Choices: A) 7 B) 8 C) 9 D) 10
• Hint: Subtract by counting back from the bigger number.
• Steps:
  • Start at 14.
  • Count back 6: 13, 12, 11, 10, 9, 8.
• Answer: 8

[Medium] Comparing Numbers

• EN: Which number is greater: 13 or 17?
• FR: Quel nombre est plus grand: 13 ou 17?
• Choices: A) 13 B) 17 C) They are equal D) Cannot tell
• Hint: Look at the tens digit first, then the ones digit to compare.
• Steps:
  • Both numbers have 1 ten.
  • 7 ones is more than 3 ones, so 17 is greater.
• Answer: 17

[Medium] Skip Count by 5s

• EN: Skip count by 5s. What comes next? 5, 10, 15, 20, ___
• FR: Compte de 5 en 5. Quel est le prochain nombre? 5, 10, 15, 20, ___
• Choices: A) 22 B) 23 C) 25 D) 30
• Hint: Each jump adds 5 to the last number you see.
• Steps:
  • The pattern adds 5 each time.
  • 20 + 5 = 25.
• Answer: 25

[Medium] Adding at the Pond

• EN: There are 8 ducks in a pond and 9 more join them. How many ducks are there in total?
• FR: Il y a 8 canards dans un étang et 9 autres les rejoignent. Combien y a-t-il de canards en tout?
• Choices: A) 15 B) 16 C) 17 D) 18
• Hint: To add 8 + 9, you can think of making 10 first.
• Steps:
  • Take 2 from 9 to give to 8: 8 + 2 = 10.
  • 10 + 7 = 17.
• Answer: 17

[Hard] Two Hops

• EN: Sam has 4 apples. He gets 6 more, then gives away 3. How many does he have now?
• FR: Sam a 4 pommes. Il en reçoit 6 de plus, puis en donne 3. Combien en a-t-il maintenant?
• Choices: A) 5 B) 6 C) 7 D) 8
• Hint: Do the addition first, then the subtraction.
• Steps:
  • 4 + 6 = 10.
  • 10 − 3 = 7.
• Answer: 7

[Hard] Mystery Number

• EN: I am thinking of a number. It is greater than 15 and less than 18. What could it be?
• FR: Je pense à un nombre. Il est plus grand que 15 et plus petit que 18. Quel pourrait-il être?
• Choices: A) 14 B) 15 C) 16 D) 18
• Hint: List numbers between the two given numbers but not including them.
• Steps:
  • Numbers greater than 15: 16, 17, 18, …
  • Numbers less than 18: …, 15, 16, 17.
  • Numbers in both: 16 and 17. Only 16 is a choice.
• Answer: 16

[Easy] Adding at the Store

• EN: A pencil costs 23 cents and an eraser costs 14 cents. How much do they cost together?
• FR: Un crayon coûte 23 cents et une gomme coûte 14 cents. Combien coûtent-ils ensemble?
• Choices: A) 35 cents B) 37 cents C) 38 cents D) 40 cents
• Hint: Add the ones first, then the tens.
• Steps:
  • Ones: 3 + 4 = 7.
  • Tens: 20 + 10 = 30.
  • Total: 30 + 7 = 37 cents.
• Answer: 37 cents

[Easy] Telling Time

• EN: The clock shows 3:00. Jake plays hockey for half an hour. What time does he finish?
• FR: L'horloge montre 3h00. Jake joue au hockey pendant une demi-heure. À quelle heure finit-il?
• Choices: A) 3:00 B) 3:30 C) 4:00 D) 4:30
• Hint: Half an hour equals 30 minutes, so add 30 minutes to the start time.
• Steps:
  • Start: 3:00.
  • Add 30 minutes: 3:30.
• Answer: 3:30

[Easy] Measuring Length

• EN: A bookshelf is 80 cm long and a desk is 100 cm long. How much longer is the desk?
• FR: Une bibliothèque mesure 80 cm de long et un bureau mesure 100 cm de long. De combien le bureau est-il plus long?
• Choices: A) 10 cm B) 15 cm C) 20 cm D) 25 cm
• Hint: Subtract the shorter length from the longer length.
• Steps:
  • 100 − 80 = 20.
  • The desk is 20 cm longer.
• Answer: 20 cm

[Easy] Skip Count Pattern

• EN: What is the missing number? 10, 20, 30, ___, 50
• FR: Quel est le nombre manquant? 10, 20, 30, ___, 50
• Choices: A) 35 B) 38 C) 40 D) 45
• Hint: Each number in this pattern increases by 10.
• Steps:
  • 10, 20, 30 — the pattern adds 10 each time.
  • 30 + 10 = 40.
• Answer: 40

[Medium] Coins to $1

• EN: Emma has 3 quarters. How much money does she have in total?
• FR: Emma a 3 pièces de 25 cents. Combien d'argent a-t-elle en tout?
• Choices: A) 60 cents B) 70 cents C) 75 cents D) 80 cents
• Hint: A quarter is worth 25 cents; add 25 three times.
• Steps:
  • 25 + 25 = 50.
  • 50 + 25 = 75 cents.
• Answer: 75 cents

[Medium] Subtraction at the Rink

• EN: There were 56 fans at the rink. 23 went home. How many fans are still there?
• FR: Il y avait 56 fans à la patinoire. 23 sont partis. Combien de fans sont encore là?
• Choices: A) 31 B) 33 C) 35 D) 37
• Hint: Subtract the ones digit first, then the tens digit.
• Steps:
  • Ones: 6 − 3 = 3.
  • Tens: 50 − 20 = 30.
  • Total: 33.
• Answer: 33

[Medium] Snowfall Measurement

• EN: It snowed 45 cm on Monday and 32 cm on Tuesday. How much snow fell in total?
• FR: Il a neigé 45 cm lundi et 32 cm mardi. Quelle quantité de neige est tombée en tout?
• Choices: A) 70 cm B) 75 cm C) 77 cm D) 80 cm
• Hint: Add the ones first, then the tens.
• Steps:
  • Ones: 5 + 2 = 7.
  • Tens: 40 + 30 = 70.
  • Total: 77 cm.
• Answer: 77 cm

[Medium] Telling Time (Half-Hour)

• EN: The clock reads 7:30. School starts 1 hour later. What time does school start?
• FR: L'horloge indique 7h30. L'école commence 1 heure plus tard. À quelle heure l'école commence-t-elle?
• Choices: A) 8:00 B) 8:30 C) 9:00 D) 9:30
• Hint: Add 1 hour by increasing the hour number by 1; the minutes stay the same.
• Steps:
  • 7:30 + 1 hour = 8:30.
• Answer: 8:30

[Hard] Two-Step Money

• EN: Noah has 60 cents. He buys a sticker for 25 cents and a bookmark for 20 cents. How much money does he have left?
• FR: Noah a 60 cents. Il achète un autocollant pour 25 cents et un signet pour 20 cents. Combien d'argent lui reste-t-il?
• Choices: A) 10 cents B) 15 cents C) 20 cents D) 25 cents
• Hint: Add the costs together first, then subtract from what you started with.
• Steps:
  • 25 + 20 = 45 cents spent.
  • 60 − 45 = 15 cents left.
• Answer: 15 cents

[Hard] Pattern and Prediction

• EN: Ava's sticker collection: 12, 24, 36, ___. What is the next number?
• FR: La collection d'autocollants d'Ava: 12, 24, 36, ___. Quel est le prochain nombre?
• Choices: A) 42 B) 44 C) 46 D) 48
• Hint: Find what is added each time, then add it once more.
• Steps:
  • 24 − 12 = 12; 36 − 24 = 12. The pattern adds 12.
  • 36 + 12 = 48.
• Answer: 48

[Easy] Multiplication by 5

• EN: There are 6 bags of hockey cards with 5 cards in each bag. How many cards are there in total?
• FR: Il y a 6 sacs de cartes de hockey avec 5 cartes dans chaque sac. Combien y a-t-il de cartes en tout?
• Choices: A) 25 B) 30 C) 35 D) 40
• Hint: Multiply the number of groups by the number in each group.
• Steps:
  • 6 × 5 = 30.
• Answer: 30

[Easy] Basic Division

• EN: 20 apples are shared equally among 4 children. How many apples does each child get?
• FR: 20 pommes sont partagées également entre 4 enfants. Combien de pommes chaque enfant reçoit-il?
• Choices: A) 4 B) 5 C) 6 D) 8
• Hint: Ask yourself: how many times does 4 go into 20?
• Steps:
  • 4 × 5 = 20, so 20 ÷ 4 = 5.
• Answer: 5

[Easy] Fractions

• EN: A pizza is cut into 4 equal slices. Lily eats 1 slice. What fraction did she eat?
• FR: Une pizza est coupée en 4 tranches égales. Lily mange 1 tranche. Quelle fraction a-t-elle mangée?
• Choices: A) 1/2 B) 1/3 C) 1/4 D) 1/5
• Hint: The bottom number tells the total pieces; the top tells how many you ate.
• Steps:
  • Total slices = 4.
  • Lily ate 1 out of 4: 1/4.
• Answer: 1/4

[Easy] Multiplication by 2

• EN: A toque costs $3. How much do 2 toques cost?
• FR: Une tuque coûte 3 $. Combien coûtent 2 tuques?
• Choices: A) $4 B) $5 C) $6 D) $7
• Hint: Multiply the price by the number of items.
• Steps:
  • 2 × $3 = $6.
• Answer: $6

[Medium] Perimeter

• EN: A rectangular garden is 7 m long and 4 m wide. What is its perimeter?
• FR: Un jardin rectangulaire mesure 7 m de long et 4 m de large. Quel est son périmètre?
• Choices: A) 20 m B) 22 m C) 24 m D) 28 m
• Hint: Perimeter = add all four sides (length + width + length + width).
• Steps:
  • P = 7 + 4 + 7 + 4.
  • P = 22 m.
• Answer: 22 m

[Medium] Reading a Graph

• EN: A bar graph shows: Monday 8 goals, Tuesday 5 goals, Wednesday 7 goals. How many goals in total for the three days?
• FR: Un graphique à barres montre: lundi 8 buts, mardi 5 buts, mercredi 7 buts. Combien de buts en tout pour les trois jours?
• Choices: A) 18 B) 19 C) 20 D) 21
• Hint: Add all three values together to find the total.
• Steps:
  • 8 + 5 = 13.
  • 13 + 7 = 20.
• Answer: 20

[Medium] Multiplication by 3

• EN: Each Tim Hortons muffin tray holds 3 muffins. How many muffins are on 9 trays?
• FR: Chaque plateau de muffins Tim Hortons contient 3 muffins. Combien y a-t-il de muffins sur 9 plateaux?
• Choices: A) 24 B) 27 C) 30 D) 33
• Hint: Multiply the number of trays by the number of muffins per tray.
• Steps:
  • 9 × 3 = 27.
• Answer: 27

[Medium] Division with 10

• EN: 70 stickers are divided into groups of 10. How many groups are there?
• FR: 70 autocollants sont divisés en groupes de 10. Combien y a-t-il de groupes?
• Choices: A) 5 B) 6 C) 7 D) 8
• Hint: Divide the total by the size of each group.
• Steps:
  • 70 ÷ 10 = 7.
• Answer: 7

[Hard] Two-Step Problem

• EN: Leo buys 4 packs of hockey cards with 5 cards in each pack. He gives 8 cards to his friend. How many cards does Leo have left?
• FR: Leo achète 4 paquets de cartes de hockey avec 5 cartes dans chaque paquet. Il donne 8 cartes à son ami. Combien de cartes Leo a-t-il maintenant?
• Choices: A) 10 B) 12 C) 14 D) 16
• Hint: First multiply to find the total, then subtract what was given away.
• Steps:
  • 4 × 5 = 20 cards total.
  • 20 − 8 = 12 cards left.
• Answer: 12

[Hard] Fraction Comparison

• EN: Which fraction is greater: 1/2 or 1/4?
• FR: Quelle fraction est plus grande: 1/2 ou 1/4?
• Choices: A) 1/4 B) 1/2 C) They are equal D) Cannot tell
• Hint: Think of the same whole pizza — more slices means each slice is smaller.
• Steps:
  • 1/2 means 1 piece out of 2 (big pieces).
  • 1/4 means 1 piece out of 4 (smaller pieces).
  • 1/2 is greater.
• Answer: 1/2

[Easy] Multiplication Table

• EN: What is 7 × 8?
• FR: Combien font 7 × 8?
• Choices: A) 54 B) 56 C) 63 D) 64
• Hint: You can break it up: 7 × 8 = 7 × 4 + 7 × 4.
• Steps:
  • 7 × 4 = 28.
  • 28 + 28 = 56.
• Answer: 56

[Easy] Decimal Place Value

• EN: What is the digit in the tenths place of 3.47?
• FR: Quel est le chiffre à la position des dixièmes dans 3,47?
• Choices: A) 3 B) 4 C) 7 D) 47
• Hint: In a decimal, the first digit after the dot is tenths, the second is hundredths.
• Steps:
  • 3 is in the ones place.
  • 4 is in the tenths place.
  • 7 is in the hundredths place.
• Answer: 4

[Easy] Area of a Rectangle

• EN: A classroom is 9 m long and 6 m wide. What is its area?
• FR: Une salle de classe mesure 9 m de long et 6 m de large. Quelle est son aire?
• Choices: A) 45 m² B) 48 m² C) 54 m² D) 60 m²
• Hint: Area of a rectangle = length × width.
• Steps:
  • A = 9 × 6 = 54.
• Answer: 54 m²

[Easy] Comparing Fractions

• EN: Which fraction is larger: 3/4 or 2/4?
• FR: Quelle fraction est plus grande: 3/4 ou 2/4?
• Choices: A) 2/4 B) 3/4 C) They are equal D) Cannot tell
• Hint: When denominators are the same, compare the numerators.
• Steps:
  • Same denominator (4), compare tops: 3 > 2.
  • 3/4 is larger.
• Answer: 3/4

[Medium] Long Division

• EN: 85 ÷ 5 = ?
• FR: 85 ÷ 5 = ?
• Choices: A) 15 B) 16 C) 17 D) 18
• Hint: Think: how many times does 5 go into 8? Then bring down the 5.
• Steps:
  • 5 goes into 8 once (5); remainder 3.
  • Bring down 5: 35. 5 goes into 35 seven times.
  • Answer: 17
• Answer: 17

[Medium] Long Division with Remainder

• EN: 47 ÷ 4 = ? (with remainder)
• FR: 47 ÷ 4 = ? (avec reste)
• Choices: A) 11 R1 B) 11 R2 C) 11 R3 D) 12 R1
• Hint: Multiply 4 by your quotient guess, then subtract to find the remainder.
• Steps:
  • 4 × 11 = 44. 47 − 44 = 3.
  • Answer: 11 R3
• Answer: 11 R3

[Medium] Elapsed Time

• EN: Hockey practice starts at 4:15 PM and ends at 5:45 PM. How long is practice?
• FR: L'entraînement de hockey commence à 16h15 et se termine à 17h45. Combien de temps dure l'entraînement?
• Choices: A) 1 hour 15 minutes B) 1 hour 30 minutes C) 1 hour 45 minutes D) 2 hours
• Hint: Count from start to end by going to the nearest hour first.
• Steps:
  • 4:15 to 5:15 = 1 hour.
  • 5:15 to 5:45 = 30 minutes.
  • Total: 1 hour 30 minutes.
• Answer: 1 hour 30 minutes

[Medium] Decimal Addition

• EN: A juice costs $1.25 and a muffin costs $2.50. How much do both cost?
• FR: Un jus coûte 1,25 $ et un muffin coûte 2,50 $. Combien coûtent les deux ensemble?
• Choices: A) $3.50 B) $3.75 C) $4.00 D) $4.25
• Hint: Line up the decimal points and add column by column.
• Steps:
  • $1.25 + $2.50: cents: 25 + 50 = 75.
  • Dollars: 1 + 2 = 3.
  • Total: $3.75.
• Answer: $3.75

[Hard] Multi-Step Area Problem

• EN: A hallway is 12 m long and 3 m wide. A rug covers an area of 4 m × 2 m. How much of the hallway floor is NOT covered by the rug?
• FR: Un couloir mesure 12 m de long et 3 m de large. Un tapis couvre une superficie de 4 m × 2 m. Quelle partie du plancher du couloir n'est PAS couverte par le tapis?
• Choices: A) 24 m² B) 28 m² C) 32 m² D) 36 m²
• Hint: Find the total area, then subtract the rug area.
• Steps:
  • Hallway: 12 × 3 = 36 m².
  • Rug: 4 × 2 = 8 m².
  • Uncovered: 36 − 8 = 28 m².
• Answer: 28 m²

[Hard] Fraction and Decimal Connection

• EN: A bag of birdseed is 0.75 kg. A second bag is 3/4 kg. What is the total weight in kg?
• FR: Un sac de graines pour oiseaux pèse 0,75 kg. Un deuxième sac pèse 3/4 kg. Quel est le poids total en kg?
• Choices: A) 1.25 kg B) 1.50 kg C) 1.75 kg D) 2.00 kg
• Hint: Convert 3/4 to a decimal (3 ÷ 4 = 0.75), then add.
• Steps:
  • 3/4 = 0.75.
  • 0.75 + 0.75 = 1.50 kg.
• Answer: 1.50 kg

[Easy] Multi-Digit Multiplication

• EN: What is 34 × 6?
• FR: Combien font 34 × 6?
• Choices: A) 194 B) 200 C) 204 D) 210
• Hint: Multiply the ones digit first, then the tens digit, and add any carried digit.
• Steps:
  • 6 × 4 = 24; write 4, carry 2.
  • 6 × 3 = 18; 18 + 2 = 20.
  • Answer: 204
• Answer: 204

[Easy] Adding Fractions (Like Denominators)

• EN: 2/8 + 3/8 = ?
• FR: 2/8 + 3/8 = ?
• Choices: A) 5/8 B) 5/16 C) 6/8 D) 1/2
• Hint: When denominators are the same, just add the numerators.
• Steps:
  • 2 + 3 = 5; denominator stays 8.
  • Answer: 5/8
• Answer: 5/8

[Easy] Percentage (50%)

• EN: A hockey jersey costs $40. It is on sale for 50% off. How much is the discount?
• FR: Un maillot de hockey coûte 40 $. Il est en solde à 50 % de rabais. Quel est le rabais?
• Choices: A) $10 B) $15 C) $20 D) $25
• Hint: 50% means half; divide the price by 2.
• Steps:
  • 50% of $40 = $40 ÷ 2 = $20.
• Answer: $20

[Easy] Decimal Subtraction

• EN: 6.75 − 2.30 = ?
• FR: 6,75 − 2,30 = ?
• Choices: A) 4.25 B) 4.35 C) 4.45 D) 4.55
• Hint: Line up decimal points, then subtract digit by digit.
• Steps:
  • 75 − 30 = 45 (hundredths and tenths).
  • 6 − 2 = 4 (ones).
  • Answer: 4.45
• Answer: 4.45

[Medium] Multi-Digit Division

• EN: 252 ÷ 6 = ?
• FR: 252 ÷ 6 = ?
• Choices: A) 40 B) 41 C) 42 D) 43
• Hint: Divide the hundreds first, then move to the tens and ones.
• Steps:
  • 6 into 25: 4 (4 × 6 = 24), remainder 1.
  • Bring down 2: 12. 6 into 12 = 2.
  • Answer: 42
• Answer: 42

[Medium] Subtracting Fractions

• EN: 7/10 − 2/10 = ?
• FR: 7/10 − 2/10 = ?
• Choices: A) 4/10 B) 5/10 C) 5/20 D) 9/10
• Hint: When denominators are the same, just subtract the numerators.
• Steps:
  • 7 − 2 = 5; denominator stays 10.
  • Answer: 5/10
• Answer: 5/10

[Medium] Volume of a Rectangular Prism

• EN: A box is 5 cm long, 4 cm wide, and 3 cm tall. What is its volume?
• FR: Une boîte mesure 5 cm de long, 4 cm de large et 3 cm de haut. Quel est son volume?
• Choices: A) 48 cm³ B) 60 cm³ C) 72 cm³ D) 80 cm³
• Hint: Volume = length × width × height.
• Steps:
  • V = 5 × 4 × 3.
  • 5 × 4 = 20; 20 × 3 = 60 cm³.
• Answer: 60 cm³

[Medium] Percentage (25% and 10%)

• EN: A pair of skates costs $80. What is 25% of $80?
• FR: Une paire de patins coûte 80 $. Combien font 25 % de 80 $?
• Choices: A) $8 B) $16 C) $20 D) $40
• Hint: 25% = one quarter; divide the amount by 4.
• Steps:
  • 25% of $80 = $80 ÷ 4 = $20.
• Answer: $20

[Hard] Multi-Step Word Problem

• EN: A school orders 15 boxes of crayons. Each box has 24 crayons. The crayons are shared equally among 9 classes. How many crayons does each class get?
• FR: Une école commande 15 boîtes de crayons. Chaque boîte contient 24 crayons. Les crayons sont partagés également entre 9 classes. Combien de crayons chaque classe reçoit-elle?
• Choices: A) 36 B) 40 C) 42 D) 45
• Hint: First multiply to find the total crayons, then divide by the number of classes.
• Steps:
  • Total: 15 × 24 = 360.
  • Per class: 360 ÷ 9 = 40.
• Answer: 40

[Hard] Decimal and Fraction Mixed

• EN: Aisha ran 1.6 km on Monday and 3/5 km on Tuesday. How far did she run in total? (Express as a decimal.)
• FR: Aisha a couru 1,6 km lundi et 3/5 km mardi. Quelle distance a-t-elle parcourue en tout? (Exprime la réponse en décimal.)
• Choices: A) 1.9 km B) 2.1 km C) 2.2 km D) 2.4 km
• Hint: Convert 3/5 to a decimal first (3 ÷ 5), then add.
• Steps:
  • 3 ÷ 5 = 0.6.
  • 1.6 + 0.6 = 2.2 km.
• Answer: 2.2 km

[Easy] Fraction Multiplication

• EN: What is 1/2 × 4/5?
• FR: Combien font 1/2 × 4/5?
• Choices: A) 5/7 B) 4/10 C) 2/5 D) 3/5
• Hint: Multiply the numerators together, then multiply the denominators together.
• Steps:
  • Numerators: 1 × 4 = 4.
  • Denominators: 2 × 5 = 10.
  • Simplified: 4/10 = 2/5.
• Answer: 2/5

[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: Percent means per hundred; multiply the number by the percent divided by 100.
• Steps:
  • 30% of 50 = (30 ÷ 100) × 50 = 0.30 × 50 = 15.
• Answer: 15

[Easy] Integers Introduction

• EN: The temperature is −3°C. It drops 5 more degrees. What is the new temperature?
• FR: La température est de −3 °C. Elle baisse encore de 5 degrés. Quelle est la nouvelle température?
• Choices: A) −7°C B) −8°C C) −9°C D) −10°C
• Hint: Dropping means subtracting; on the number line, move left.
• Steps:
  • −3 − 5 = −8°C.
• Answer: −8°C

[Easy] Order of Operations (BEDMAS)

• EN: Evaluate: 3 + 2 × 4
• FR: Évalue: 3 + 2 × 4
• Choices: A) 11 B) 14 C) 20 D) 24
• Hint: BEDMAS says multiply before you add.
• Steps:
  • Multiplication first: 2 × 4 = 8.
  • Then addition: 3 + 8 = 11.
• Answer: 11

[Medium] Ratio and Rate

• EN: A recipe needs 2 cups of flour for every 3 cups of water. If you use 6 cups of flour, how many cups of water do you need?
• FR: Une recette nécessite 2 tasses de farine pour 3 tasses d'eau. Si vous utilisez 6 tasses de farine, de combien de tasses d'eau avez-vous besoin?
• Choices: A) 7 B) 8 C) 9 D) 10
• Hint: Find how many times the ratio is scaled up, then multiply the water by the same factor.
• Steps:
  • 6 ÷ 2 = 3; scale factor is 3.
  • 3 × 3 = 9 cups of water.
• Answer: 9

[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
• Hint: To divide fractions, multiply by the reciprocal of the second fraction.
• Steps:
  • Reciprocal of 1/2 is 2/1.
  • 3/4 × 2/1 = 6/4 = 3/2.
• Answer: 3/2

[Medium] Algebraic Expression

• EN: Evaluate 5n − 3 when n = 4.
• FR: Évalue 5n − 3 lorsque n = 4.
• Choices: A) 15 B) 17 C) 19 D) 21
• Hint: Substitute the value for the variable, then calculate using order of operations.
• Steps:
  • 5 × 4 = 20.
  • 20 − 3 = 17.
• Answer: 17

[Medium] Percent of a Number (Word Problem)

• EN: A jacket at a Canadian store costs $60. It is on sale at 40% off. How much do you save?
• FR: Un manteau dans un magasin canadien coûte 60 $. Il est en solde à 40 % de rabais. Combien économisez-vous?
• Choices: A) $20 B) $24 C) $28 D) $32
• Hint: 40% means 40 per 100; multiply the price by 0.40.
• Steps:
  • 0.40 × $60 = $24 saved.
• Answer: $24

[Hard] Order of Operations (Complex)

• EN: Evaluate: (6 + 2) × 3 − 4 ÷ 2
• FR: Évalue: (6 + 2) × 3 − 4 ÷ 2
• Choices: A) 19 B) 22 C) 23 D) 24
• Hint: BEDMAS: Brackets first, then multiply/divide left to right, then add/subtract.
• Steps:
  • Brackets: (6 + 2) = 8.
  • Multiply: 8 × 3 = 24.
  • Divide: 4 ÷ 2 = 2.
  • Subtract: 24 − 2 = 22.
• Answer: 22

[Hard] Multi-Step Ratio

• EN: A hockey team wins 3 games for every 2 they lose. If they played 25 games in total, how many games did they win?
• FR: Une équipe de hockey gagne 3 matchs pour chaque 2 qu'elle perd. Si elle a joué 25 matchs en tout, combien en a-t-elle gagnés?
• Choices: A) 12 B) 13 C) 15 D) 18
• Hint: Find the total parts in the ratio, then divide the total games to find one part's value.
• Steps:
  • Ratio parts: 3 + 2 = 5 parts.
  • Each part: 25 ÷ 5 = 5 games.
  • Wins: 3 × 5 = 15.
• Answer: 15

[Easy] Integer Addition

• EN: −7 + 12 = ?
• FR: −7 + 12 = ?
• Choices: A) −5 B) 5 C) −19 D) 19
• Hint: On a number line, start at −7 and move 12 steps to the right.
• Steps:
  • From −7, move right 12: −7 + 12 = 5.
• Answer: 5

[Easy] Integer Subtraction

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

[Easy] Discount

• EN: A pair of boots costs $90 and is 20% off. How much will you pay?
• FR: Une paire de bottes coûte 90 $ et est à 20 % de rabais. Combien allez-vous payer?
• Choices: A) $70 B) $72 C) $74 D) $76
• Hint: Find 20% of the price, then subtract from the original price.
• Steps:
  • 20% of $90 = 0.20 × 90 = $18.
  • $90 − $18 = $72.
• Answer: $72

[Easy] One-Step Equation

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

[Medium] Integer Multiplication

• EN: (−4) × (−5) = ?
• FR: (−4) × (−5) = ?
• Choices: A) −20 B) −9 C) 9 D) 20
• Hint: Negative × negative = positive; then multiply the absolute values.
• Steps:
  • Negative × negative = positive.
  • 4 × 5 = 20.
• Answer: 20

[Medium] Tip Calculation

• EN: A meal at a restaurant costs $48. You leave a 15% tip. How much is the tip?
• FR: Un repas au restaurant coûte 48 $. Vous laissez un pourboire de 15 %. Quel est le montant du pourboire?
• Choices: A) $5.20 B) $6.40 C) $7.20 D) $8.00
• Hint: Find 10% first, then half of 10% to get 5%, and add them together for 15%.
• Steps:
  • 10% of $48 = $4.80.
  • 5% = $2.40.
  • 15% = $4.80 + $2.40 = $7.20.
• Answer: $7.20

[Medium] Surface Area

• EN: What is the surface area of a cube with side length 4 cm?
• FR: Quelle est l'aire de la surface d'un cube avec un côté de 4 cm?
• Choices: A) 64 cm² B) 80 cm² C) 96 cm² D) 112 cm²
• Hint: A cube has 6 equal square faces; find the area of one face, then multiply by 6.
• Steps:
  • One face: 4 × 4 = 16 cm².
  • 6 faces: 6 × 16 = 96 cm².
• Answer: 96 cm²

[Medium] Probability

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

[Hard] Multi-Step Integer Problem

• EN: The temperature in Winnipeg was −12°C in the morning. By noon it rose 8°C, then dropped 5°C in the evening. What was the evening temperature?
• FR: La température à Winnipeg était de −12 °C le matin. À midi, elle a augmenté de 8 °C, puis baissé de 5 °C le soir. Quelle était la température le soir?
• Choices: A) −11°C B) −10°C C) −9°C D) −8°C
• Hint: Apply each change one at a time to keep track.
• Steps:
  • −12 + 8 = −4°C at noon.
  • −4 − 5 = −9°C in the evening.
• Answer: −9°C

[Hard] Two-Variable Problem

• EN: A loonie is worth $1 and a toonie is worth $2. You have 12 coins worth $18 total. How many toonies do you have?
• FR: Un huard vaut 1 $ et un toonie vaut 2 $. Tu as 12 pièces d'une valeur totale de 18 $. Combien de toonies as-tu?
• Choices: A) 4 B) 5 C) 6 D) 7
• Hint: Let t = toonies and write two equations; substitute one into the other.
• Steps:
  • t + l = 12; 2t + l = 18.
  • Subtract: t = 6.
• Answer: 6

[Easy] Perfect Squares

• EN: What is √144?
• FR: Combien fait √144?
• Choices: A) 10 B) 11 C) 12 D) 13
• Hint: Think: what number times itself equals 144?
• Steps:
  • 12 × 12 = 144.
  • √144 = 12.
• Answer: 12

[Easy] Mean

• EN: Find the mean of: 4, 8, 6, 10, 2
• FR: Trouve la moyenne de: 4, 8, 6, 10, 2
• Choices: A) 5 B) 6 C) 7 D) 8
• Hint: Add all values, then divide by how many there are.
• Steps:
  • 4 + 8 + 6 + 10 + 2 = 30.
  • 30 ÷ 5 = 6.
• Answer: 6

[Easy] Percent Increase

• EN: A bus pass was $40 and increased to $48. What is the percent increase?
• FR: Un laissez-passer d'autobus coûtait 40 $ et a augmenté à 48 $. Quel est le pourcentage d'augmentation?
• Choices: A) 15% B) 18% C) 20% D) 25%
• Hint: Percent increase = (change ÷ original) × 100.
• Steps:
  • Change: 48 − 40 = 8.
  • (8 ÷ 40) × 100 = 20%.
• Answer: 20%

[Easy] Two-Step Equation

• EN: Solve: 2x + 5 = 13
• FR: Résous: 2x + 5 = 13
• Choices: A) x = 3 B) x = 4 C) x = 5 D) x = 6
• Hint: First subtract from both sides, then divide.
• Steps:
  • 2x = 13 − 5 = 8.
  • x = 8 ÷ 2 = 4.
• Answer: x = 4

[Medium] Pythagorean Theorem

• EN: A right triangle has legs of 6 cm and 8 cm. What is the length of the hypotenuse?
• FR: Un triangle rectangle a des côtés de 6 cm et de 8 cm. Quelle est la longueur de l'hypoténuse?
• Choices: A) 9 cm B) 10 cm C) 11 cm D) 12 cm
• Hint: Use a² + b² = c². Find c by taking the square root.
• Steps:
  • 6² + 8² = 36 + 64 = 100.
  • √100 = 10 cm.
• Answer: 10 cm

[Medium] Median and Mode

• EN: Find the median of: 3, 7, 7, 9, 11
• FR: Trouve la médiane de: 3, 7, 7, 9, 11
• Choices: A) 7 B) 7.4 C) 9 D) 11
• Hint: The median is the middle value when numbers are in order.
• Steps:
  • Already in order: 3, 7, 7, 9, 11.
  • Middle value (3rd of 5) = 7.
• Answer: 7

[Medium] Slope Introduction

• EN: A line passes through (0, 2) and (4, 10). What is its slope?
• FR: Une droite passe par (0, 2) et (4, 10). Quelle est sa pente?
• Choices: A) 1 B) 2 C) 3 D) 4
• Hint: Slope = rise ÷ run = (change in y) ÷ (change in x).
• Steps:
  • Rise: 10 − 2 = 8.
  • Run: 4 − 0 = 4.
  • Slope = 8 ÷ 4 = 2.
• Answer: 2

[Medium] Two-Step Equation (Word Problem)

• EN: Sarah earns $7 per hour plus a $5 bonus. If she earned $33, how many hours did she work?
• FR: Sarah gagne 7 $ de l'heure plus un bonus de 5 $. Si elle a gagné 33 $, combien d'heures a-t-elle travaillé?
• Choices: A) 3 hours B) 4 hours C) 5 hours D) 6 hours
• Hint: Set up the equation as 7h + 5 = 33, then solve for h.
• Steps:
  • 7h + 5 = 33.
  • 7h = 28; h = 4.
• Answer: 4 hours

[Hard] Pythagorean Theorem (Backwards)

• EN: A ladder leans against a wall. The ladder is 13 m long and the base is 5 m from the wall. How high up the wall does the ladder reach?
• FR: Une échelle s'appuie contre un mur. L'échelle mesure 13 m de long et la base est à 5 m du mur. À quelle hauteur l'échelle atteint-elle le mur?
• Choices: A) 10 m B) 11 m C) 12 m D) 13 m
• Hint: Use a² + b² = c². The hypotenuse is the ladder; solve for the unknown leg.
• Steps:
  • 5² + b² = 13².
  • 25 + b² = 169; b² = 144.
  • b = √144 = 12 m.
• Answer: 12 m

[Hard] Percent Decrease and Two-Step

• EN: A pair of skates originally cost $120. They were first discounted by 25%, then a further 10% off the sale price. What was the final price?
• FR: Une paire de patins coûtait à l'origine 120 $. Elle a d'abord été réduite de 25 %, puis de 10 % supplémentaires sur le prix de vente. Quel était le prix final?
• Choices: A) $78 B) $79 C) $81 D) $84
• Hint: Apply each discount one at a time — never add the percentages together.
• Steps:
  • After 25% off: $120 × 0.75 = $90.
  • After 10% off: $90 × 0.90 = $81.
• Answer: $81

[Easy] Solving a Linear Equation

• EN: Solve for x: 3x − 7 = 14
• FR: Résous pour x: 3x − 7 = 14
• Choices: A) x = 5 B) x = 6 C) x = 7 D) x = 9
• Hint: Add 7 to both sides, then divide both sides by 3.
• Steps:
  • 3x = 14 + 7 = 21.
  • x = 21 ÷ 3 = 7.
• Answer: x = 7

[Easy] Adding Polynomials

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

[Easy] Slope-Intercept Form

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

[Easy] Similar Triangles

• EN: Two similar triangles have corresponding sides in the ratio 2:5. The shorter 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. Le triangle le plus court a un côté de 6 cm. Quel est le côté correspondant du grand triangle?
• Choices: A) 12 cm B) 13 cm C) 15 cm D) 18 cm
• Hint: Set up a proportion: 2/5 = 6/x, then cross-multiply to solve.
• Steps:
  • 2/5 = 6/x.
  • 2x = 30; x = 15 cm.
• Answer: 15 cm

[Medium] Linear Inequality

• EN: Solve: 2x + 3 > 11
• FR: Résous: 2x + 3 > 11
• Choices: A) x > 3 B) x > 4 C) x > 5 D) x > 7
• Hint: Solve like an equation — subtract, then divide. The inequality sign stays the same.
• Steps:
  • 2x > 11 − 3 = 8.
  • x > 4.
• Answer: x > 4

[Medium] Multiplying Polynomials

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

[Medium] Trigonometry (SOH-CAH-TOA)

• EN: In a right triangle, the opposite side is 5 cm and the hypotenuse is 13 cm. What is sin(θ)?
• FR: Dans un triangle rectangle, le côté opposé mesure 5 cm et l'hypoténuse mesure 13 cm. Combien fait sin(θ)?
• Choices: A) 5/13 B) 13/5 C) 12/13 D) 5/12
• Hint: SOH: sin = Opposite ÷ Hypotenuse.
• Steps:
  • sin(θ) = opposite ÷ hypotenuse.
  • sin(θ) = 5/13.
• Answer: 5/13

[Medium] Graphing Lines

• EN: Which point lies on the line y = 2x + 1?
• FR: Quel point se trouve sur la droite y = 2x + 1?
• Choices: A) (1, 4) B) (2, 5) C) (3, 8) D) (4, 10)
• Hint: Substitute the x-value into the equation and check if you get the y-value.
• Steps:
  • (3, 8): y = 2(3) + 1 = 7 ≠ 8. No.
  • (2, 5): y = 2(2) + 1 = 5. Yes!
• Answer: (2, 5)

[Hard] System of Equations (Substitution)

• EN: Solve: y = x + 3 and 2x + y = 12. Find x.
• FR: Résous: y = x + 3 et 2x + y = 12. Trouve x.
• Choices: A) x = 2 B) x = 3 C) x = 4 D) x = 5
• Hint: Substitute the expression for y from the first equation into the second equation.
• Steps:
  • Substitute: 2x + (x + 3) = 12.
  • 3x + 3 = 12; 3x = 9; x = 3.
• Answer: x = 3

[Hard] Trigonometry — Find an Angle

• EN: In a right triangle, the adjacent side = 8 cm and hypotenuse = 10 cm. What is the angle θ using cos⁻¹?
• FR: Dans un triangle rectangle, le côté adjacent = 8 cm et l'hypoténuse = 10 cm. Quel est l'angle θ en utilisant cos⁻¹?
• Choices: A) 30° B) 37° C) 45° D) 53°
• Hint: CAH: cos(θ) = Adjacent ÷ Hypotenuse; then use the inverse cosine.
• Steps:
  • cos(θ) = 8/10 = 0.8.
  • θ = cos⁻¹(0.8) ≈ 37°.
• Answer: 37°

[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 − 2)(x − 3) D) (x + 6)(x − 1)
• Hint: Find two numbers that multiply to 6 and add to 5.
• Steps:
  • 2 × 3 = 6 and 2 + 3 = 5. ✓
  • Factor: (x + 2)(x + 3).
• Answer: (x + 2)(x + 3)

[Easy] Solving a Quadratic (Factoring)

• EN: Solve: x² − 7x + 12 = 0
• FR: Résous: x² − 7x + 12 = 0
• Choices: A) x = 3 or x = 4 B) x = 2 or x = 6 C) x = 1 or x = 12 D) x = −3 or x = −4
• Hint: Factor the quadratic first, then set each factor equal to zero.
• Steps:
  • (x − 3)(x − 4) = 0.
  • x = 3 or x = 4.
• Answer: x = 3 or x = 4

[Easy] Trigonometry (All Ratios)

• EN: In a right triangle, tan(θ) = 3/4. What is tan(θ)?
• FR: Dans un triangle rectangle, tan(θ) = 3/4. Combien fait tan(θ)?
• Choices: A) 0.25 B) 0.50 C) 0.75 D) 1.00
• Hint: To convert a fraction to a decimal, divide the numerator by the denominator.
• Steps:
  • 3 ÷ 4 = 0.75.
• Answer: 0.75

[Easy] Systems of Equations

• EN: Solve the system: x + y = 10 and x − y = 4. What is x?
• FR: Résous le système: x + y = 10 et x − y = 4. Que vaut x?
• Choices: A) x = 5 B) x = 6 C) x = 7 D) x = 8
• Hint: Add the two equations together to eliminate y.
• Steps:
  • (x + y) + (x − y) = 10 + 4.
  • 2x = 14; x = 7.
• Answer: x = 7

[Medium] Completing the Square

• EN: Solve by completing the square: x² + 4x − 5 = 0
• FR: Résous en complétant le carré: x² + 4x − 5 = 0
• Choices: A) x = 1 or x = −5 B) x = −1 or x = 5 C) x = 2 or x = −7 D) x = −2 or x = 7
• Hint: Move the constant, complete the square by adding (b/2)², then take the square root.
• Steps:
  • x² + 4x = 5.
  • (x + 2)² = 9.
  • x + 2 = ±3; x = 1 or x = −5.
• Answer: x = 1 or x = −5

[Medium] Circle Geometry

• EN: A circle has a diameter of 14 cm. What is its circumference? (Use π ≈ 3.14)
• FR: Un cercle a un diamètre de 14 cm. Quelle est sa circonférence? (Utilise π ≈ 3,14)
• Choices: A) 40.82 cm B) 43.96 cm C) 45.00 cm D) 47.10 cm
• Hint: Circumference = π × diameter.
• Steps:
  • C = 3.14 × 14 = 43.96 cm.
• Answer: 43.96 cm

[Medium] Volume of a Cone

• EN: A cone has a radius of 3 cm and a height of 7 cm. What is its volume? (Use π ≈ 3.14, round to nearest whole number.)
• FR: Un cône a un rayon de 3 cm et une hauteur de 7 cm. Quel est son volume? (Utilise π ≈ 3,14, arrondi à l'entier le plus proche.)
• Choices: A) 55 cm³ B) 63 cm³ C) 66 cm³ D) 70 cm³
• Hint: V = (1/3) × π × r² × h.
• Steps:
  • r² = 9; π × 9 = 28.26.
  • 28.26 × 7 = 197.82; ÷ 3 ≈ 66 cm³.
• Answer: 66 cm³

[Medium] Systems of Equations (Substitution)

• EN: Solve: y = 2x − 1 and y = −x + 8. What is y?
• FR: Résous: y = 2x − 1 et y = −x + 8. Que vaut y?
• Choices: A) y = 5 B) y = 6 C) y = 7 D) y = 8
• Hint: Set the two expressions for y equal to each other and solve for x, then find y.
• Steps:
  • 2x − 1 = −x + 8.
  • 3x = 9; x = 3.
  • y = 2(3) − 1 = 5.
• Answer: y = 5

[Hard] Quadratic — Word Problem

• EN: A rectangular rink has a length 3 m more than its width. Its area is 40 m². Find the width.
• FR: Une patinoire rectangulaire a une longueur de 3 m de plus que sa largeur. Son aire est de 40 m². Trouve la largeur.
• Choices: A) 4 m B) 5 m C) 6 m D) 8 m
• Hint: Let w = width; then length = w + 3 and write the area equation.
• Steps:
  • w(w + 3) = 40.
  • w² + 3w − 40 = 0.
  • (w − 5)(w + 8) = 0; w = 5 m (positive).
• Answer: 5 m

[Hard] Circle Geometry — Arc Length

• EN: A circle has a radius of 10 cm. An arc subtends an angle of 72° at the centre. What is the arc length? (Use π ≈ 3.14)
• FR: Un cercle a un rayon de 10 cm. Un arc sous-tend un angle de 72° au centre. Quelle est la longueur de l'arc? (Utilise π ≈ 3,14)
• Choices: A) 10.47 cm B) 11.20 cm C) 12.56 cm D) 14.00 cm
• Hint: Arc length = (angle/360) × 2πr.
• Steps:
  • (72/360) × 2 × 3.14 × 10.
  • 0.2 × 62.8 = 12.56 cm.
• Answer: 12.56 cm

[Easy] Exponential Function

• EN: A bacteria colony doubles every hour. If there are 50 bacteria now, how many will there be in 3 hours?
• FR: Une colonie de bactéries double chaque heure. S'il y a 50 bactéries maintenant, combien y en aura-t-il dans 3 heures?
• Choices: A) 150 B) 200 C) 350 D) 400
• Hint: Multiply the starting amount by 2 once for each hour.
• Steps:
  • After 1 hr: 50 × 2 = 100.
  • After 2 hrs: 100 × 2 = 200.
  • After 3 hrs: 200 × 2 = 400.
• Answer: 400

[Easy] Logarithm Introduction

• EN: Evaluate: log₂(8)
• FR: Évalue: log₂(8)
• Choices: A) 2 B) 3 C) 4 D) 8
• Hint: log₂(8) asks: "2 to what power gives 8?"
• Steps:
  • 2¹ = 2; 2² = 4; 2³ = 8.
  • log₂(8) = 3.
• Answer: 3

[Easy] Arithmetic Sequence

• EN: The first term of a sequence is 5 and the common difference is 4. What is the 6th term?
• FR: Le premier terme d'une suite est 5 et la raison est 4. Quel est le 6e terme?
• Choices: A) 21 B) 24 C) 25 D) 29
• Hint: Use the formula: aₙ = a₁ + (n − 1)d.
• Steps:
  • a₆ = 5 + (6 − 1) × 4.
  • a₆ = 5 + 20 = 25.
• Answer: 25

[Easy] Compound Interest

• EN: $500 is invested at 6% per year, compounded annually for 2 years. What is the amount after 2 years? (Round to the nearest cent.)
• FR: 500 $ sont investis à 6 % par an, composé annuellement pendant 2 ans. Quel est le montant après 2 ans? (Arrondi au cent près.)
• Choices: A) $555.00 B) $560.00 C) $561.80 D) $562.50
• Hint: Use A = P(1 + r)ⁿ; apply interest once per year.
• Steps:
  • After year 1: $500 × 1.06 = $530.
  • After year 2: $530 × 1.06 = $561.80.
• Answer: $561.80

[Medium] Quadratic Function — Vertex

• EN: Find the vertex of y = x² − 6x + 8.
• FR: Trouve le sommet de y = x² − 6x + 8.
• Choices: A) (2, 0) B) (3, −1) C) (4, 0) D) (3, 1)
• Hint: The x-coordinate of the vertex is x = −b/(2a); then substitute to find y.
• Steps:
  • x = −(−6)/(2 × 1) = 3.
  • y = 3² − 6(3) + 8 = 9 − 18 + 8 = −1.
  • Vertex: (3, −1).
• Answer: (3, −1)

[Medium] Logarithm Properties

• EN: Simplify: log₃(27) + log₃(9)
• FR: Simplifie: log₃(27) + log₃(9)
• Choices: A) 4 B) 5 C) 6 D) 7
• Hint: Evaluate each logarithm separately, then add.
• Steps:
  • log₃(27) = 3 (since 3³ = 27).
  • log₃(9) = 2 (since 3² = 9).
  • 3 + 2 = 5.
• Answer: 5

[Medium] Geometric Series

• 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 série géométrique: 2, 6, 18, 54, …
• Choices: A) 72 B) 78 C) 80 D) 84
• Hint: Use Sₙ = a(rⁿ − 1)/(r − 1) where a = first term and r = common ratio.
• Steps:
  • a = 2, r = 3, n = 4.
  • S₄ = 2(3⁴ − 1)/(3 − 1) = 2(81 − 1)/2 = 80.
• Answer: 80

[Medium] Trigonometric Identity

• EN: Simplify: sin²(θ) + cos²(θ)
• FR: Simplifie: sin²(θ) + cos²(θ)
• Choices: A) 0 B) 1 C) 2 D) sin(2θ)
• Hint: This is one of the most famous trig identities — memorize it!
• Steps:
  • sin²(θ) + cos²(θ) = 1 (Pythagorean Identity).
• Answer: 1

[Hard] Annuity (Future Value)

• EN: Maya deposits $200 at the end of each month into an account earning 6% per year, compounded monthly. What is the future value after 3 months?
• FR: Maya dépose 200 $ à la fin de chaque mois dans un compte rapportant 6 % par an, composé mensuellement. Quelle est la valeur future après 3 mois?
• Choices: A) $601.00 B) $603.01 C) $606.04 D) $610.00
• Hint: Monthly rate = 6%/12 = 0.5%; add each deposit with interest compounded on earlier ones.
• Steps:
  • Month 1 deposit at end: $200 (earns interest for 2 more months).
  • Month 1 value at end of month 3: $200 × 1.005² = $200 × 1.010025 = $202.005.
  • Month 2 deposit: $200 × 1.005 = $201.00.
  • Month 3 deposit: $200.
  • Total ≈ $202.005 + $201.00 + $200 = $603.01 (rounded).
• Answer: $603.01

[Hard] Exponential Equation

• EN: Solve for x: 2^(x+1) = 32
• FR: Résous pour x: 2^(x+1) = 32
• Choices: A) x = 3 B) x = 4 C) x = 5 D) x = 6
• Hint: Express both sides as powers of 2, then equate the exponents.
• Steps:
  • 32 = 2⁵.
  • 2^(x+1) = 2⁵ → x + 1 = 5 → x = 4.
• Answer: x = 4

[Easy] Permutations

• EN: In how many ways can 4 students be arranged in a line?
• FR: De combien de façons peut-on placer 4 étudiants en ligne?
• Choices: A) 16 B) 20 C) 24 D) 28
• Hint: The number of arrangements of n items is n! (n factorial).
• Steps:
  • 4! = 4 × 3 × 2 × 1 = 24.
• Answer: 24

[Easy] Combinations

• EN: How many ways can you choose 2 toppings from 5 options for a Tim Hortons bagel?
• FR: De combien de façons peut-on choisir 2 garnitures parmi 5 options pour un bagel Tim Hortons?
• Choices: A) 8 B) 10 C) 12 D) 20
• Hint: Use C(n, r) = n! / (r! × (n−r)!).
• Steps:
  • C(5, 2) = 5! / (2! × 3!) = (5 × 4) / (2 × 1) = 10.
• Answer: 10

[Easy] Derivative (Rate of Change)

• EN: If f(x) = 3x², what is f'(x)?
• FR: Si f(x) = 3x², que vaut f'(x)?
• Choices: A) 3x B) 6x C) 3x² D) 6x²
• Hint: Use the power rule: d/dx [axⁿ] = n·axⁿ⁻¹.
• Steps:
  • Bring down the power: 2 × 3 = 6.
  • Decrease the power by 1: x².
  • f'(x) = 6x.
• Answer: 6x

[Easy] Polynomial Function — Zeros

• EN: What are the zeros of f(x) = (x − 2)(x + 5)?
• FR: Quels sont les zéros de f(x) = (x − 2)(x + 5)?
• Choices: A) x = 2 and x = 5 B) x = −2 and x = 5 C) x = 2 and x = −5 D) x = −2 and x = −5
• Hint: Set each factor equal to zero and solve for x.
• Steps:
  • x − 2 = 0 → x = 2.
  • x + 5 = 0 → x = −5.
• Answer: x = 2 and x = −5

[Medium] Binomial Probability

• EN: A hockey player has a 70% chance of scoring on each penalty shot. What is the probability that she scores on exactly 2 of 3 shots?
• FR: Une joueuse de hockey a 70 % de chances de marquer à chaque tir de pénalité. Quelle est la probabilité qu'elle marque exactement 2 fois sur 3 tirs?
• Choices: A) 0.343 B) 0.382 C) 0.441 D) 0.490
• Hint: Use P(X = k) = C(n, k) × pᵏ × (1−p)ⁿ⁻ᵏ.
• Steps:
  • C(3, 2) = 3.
  • P = 3 × (0.7)² × (0.3)¹ = 3 × 0.49 × 0.3 = 0.441.
• Answer: 0.441

[Medium] Derivative — Tangent Slope

• EN: Find the slope of the tangent to f(x) = x³ − 4x at x = 2.
• FR: Trouve la pente de la tangente à f(x) = x³ − 4x au point x = 2.
• Choices: A) 4 B) 6 C) 8 D) 12
• Hint: Differentiate to get f'(x), then substitute x = 2.
• Steps:
  • f'(x) = 3x² − 4.
  • f'(2) = 3(4) − 4 = 12 − 4 = 8.
• Answer: 8

[Medium] Vectors — 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). Que vaut a + b?
• Choices: A) (2, 6) B) (4, 2) C) (2, 2) D) (4, 6)
• Hint: Add the corresponding components: (a₁ + b₁, a₂ + b₂).
• Steps:
  • x: 3 + (−1) = 2.
  • y: 4 + 2 = 6.
  • Answer: (2, 6)
• Answer: (2, 6)

[Medium] Rational Function — Asymptote

• EN: What is the vertical asymptote of f(x) = 1/(x − 4)?
• FR: Quelle est l'asymptote verticale de f(x) = 1/(x − 4)?
• Choices: A) x = −4 B) x = 0 C) x = 1 D) x = 4
• Hint: A vertical asymptote occurs where the denominator equals zero.
• Steps:
  • Set denominator = 0: x − 4 = 0.
  • x = 4.
• Answer: x = 4

[Hard] Normal Distribution

• EN: In a Canadian school, test scores are normally distributed with a mean of 72 and a standard deviation of 8. Approximately what percent of students scored between 64 and 80?
• FR: Dans une école canadienne, les résultats aux tests suivent une distribution normale avec une moyenne de 72 et un écart-type de 8. Environ quel pourcentage d'élèves ont obtenu un résultat entre 64 et 80?
• Choices: A) 50% B) 68% C) 75% D) 95%
• Hint: In a normal distribution, about 68% of values fall within one standard deviation of the mean.
• Steps:
  • 64 = 72 − 8 (one SD below mean).
  • 80 = 72 + 8 (one SD above mean).
  • About 68% of data falls within ±1 SD.
• Answer: 68%

[Hard] Dot Product of Vectors

• EN: Find the dot product of u = (2, −3, 1) and v = (4, 2, −5).
• FR: Trouve le produit scalaire de u = (2, −3, 1) et v = (4, 2, −5).
• Choices: A) −7 B) −5 C) 3 D) 7
• Hint: Dot product = multiply corresponding components, then add all results.
• Steps:
  • 2 × 4 = 8.
  • (−3) × 2 = −6.
  • 1 × (−5) = −5.
  • Total: 8 + (−6) + (−5) = −3. Wait — recheck: 8 − 6 − 5 = −3. Closest choice is −3 — adjust: 8 − 6 − 5 = −3.
  • Answer: −3. Note: correct value is −3; closest listed choice is −3.
  • Choices revised: selecting −3 as answer.
• Choices: A) −7 B) −5 C) −3 D) 3
• Answer: −3