Daily Math — 2026-10-07

[Easy] Counting Bears

• EN: Maya has 7 teddy bears. She gets 5 more. How many teddy bears does she have now?
• FR: Maya a 7 oursons en peluche. Elle en reçoit 5 de plus. Combien d'oursons a-t-elle maintenant?
• Choices: A) 10 B) 11 C) 12 D) 13
• Hint: Try 6 + 4. Start at 6 and count up 4 more: 7, 8, 9, 10.
• Steps:
  • Start at 7.
  • Count up 5 more: 8, 9, 10, 11, 12.
  • So the total is 12.
• Answer: 12

[Easy] Apples on the Table

• EN: There are 9 apples on the table. Liam eats 3. How many apples are left?
• FR: Il y a 9 pommes sur la table. Liam en mange 3. Combien de pommes reste-t-il?
• Choices: A) 4 B) 5 C) 6 D) 7
• Hint: Try 8 − 2. Start at 8 and count back 2: 7, 6.
• Steps:
  • Start at 9.
  • Count back 3: 8, 7, 6.
  • So 6 apples are left.
• Answer: 6

[Easy] Skip Counting by 2s

• EN: Skip count by 2s. What number 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: Try 4, 6, 8 — each number goes up by 2, so add 2 to the last number.
• Steps:
  • Look at the pattern: each number is 2 more than the one before.
  • 8 + 2 = 10.
  • So the next number is 10.
• Answer: 10

[Easy] Which Is More?

• EN: Which number is greater: 14 or 17?
• FR: Quel nombre est plus grand : 14 ou 17?
• Choices: A) 14 B) 17 C) Both are equal D) Neither
• Hint: Think of a number line — 11 vs. 13. The number farther to the right is greater.
• Steps:
  • Place both numbers on a number line.
  • 17 is farther to the right than 14.
  • So 17 is greater.
• Answer: 17

[Medium] Pennies in a Jar

• EN: Zoe has 6 pennies and 4 nickels. How many coins does she have in total?
• FR: Zoé a 6 sous et 4 pièces de 5 cents. Combien de pièces a-t-elle en tout?
• Choices: A) 8 B) 9 C) 10 D) 11
• Hint: Try 3 pennies + 5 nickels. Just count all the coins: 3 + 5 = 8.
• Steps:
  • Count the pennies: 6.
  • Count the nickels: 4.
  • Add them: 6 + 4 = 10.
  • So she has 10 coins in total.
• Answer: 10

[Medium] Skip Counting by 5s

• EN: Skip count by 5s. What number is missing? 5, 10, ___, 20, 25
• FR: Compte de 5 en 5. Quel nombre manque? 5, 10, ___, 20, 25
• Choices: A) 13 B) 14 C) 15 D) 16
• Hint: Try 10, ___, 20. Add 5 to 10: 10 + 5 = 15.
• Steps:
  • The pattern adds 5 each time.
  • 10 + 5 = 15.
  • So the missing number is 15.
• Answer: 15

[Medium] Dogs and Cats

• EN: There are 8 dogs and 6 cats at the shelter. How many more dogs are there than cats?
• FR: Il y a 8 chiens et 6 chats au refuge. Combien y a-t-il de chiens de plus que de chats?
• Choices: A) 2 B) 3 C) 4 D) 14
• Hint: Try 9 dogs and 5 cats. 9 − 5 = 4 more dogs.
• Steps:
  • Subtract the smaller number from the larger: 8 − 6 = 2.
  • There are 2 more dogs than cats.
• Answer: 2

[Medium] Count to 100 by 10s

• EN: Skip count by 10s. What number comes next? 40, 50, 60, ___
• FR: Compte de 10 en 10. Quel nombre vient ensuite? 40, 50, 60, ___
• Choices: A) 61 B) 65 C) 70 D) 80
• Hint: Try 20, 30, 40 — each number goes up by 10. Add 10 to the last number.
• Steps:
  • Each number increases by 10.
  • 60 + 10 = 70.
  • So the next number is 70.
• Answer: 70

[Hard] Adding Three Numbers

• EN: Owen scores 4 points, then 6 points, then 3 points in a game. How many points did he score in all?
• FR: Owen marque 4 points, puis 6 points, puis 3 points dans un jeu. Combien de points a-t-il marqués en tout?
• Choices: A) 11 B) 12 C) 13 D) 14
• Hint: Try 2 + 5 + 4. First add 2 + 5 = 7, then 7 + 4 = 11.
• Steps:
  • Add the first two: 4 + 6 = 10.
  • Add the third: 10 + 3 = 13.
  • So Owen scored 13 points in all.
• Answer: 13

[Hard] Coins in a Pocket

• EN: Anika has 1 dime and 3 pennies in her pocket. How many cents does she have in all?
• FR: Anika a 1 pièce de 10 cents et 3 sous dans sa poche. Combien de cents a-t-elle en tout?
• Choices: A) 4 cents B) 11 cents C) 13 cents D) 30 cents
• Hint: Try 1 dime and 2 pennies. A dime = 10 cents, so 10 + 2 = 12 cents.
• Steps:
  • A dime is worth 10 cents.
  • 3 pennies are worth 3 cents.
  • Add: 10 + 3 = 13 cents.
  • So Anika has 13 cents in all.
• Answer: 13 cents

[Easy] Adding to 100

• EN: A bookstore has 34 books on one shelf and 25 books on another. How many books are there in all?
• FR: Une librairie a 34 livres sur une étagère et 25 sur une autre. Combien y a-t-il de livres en tout?
• Choices: A) 57 B) 58 C) 59 D) 61
• Hint: Try 32 + 24. Add the ones: 2 + 4 = 6. Add the tens: 30 + 20 = 50. Total: 56.
• Steps:
  • Add the ones: 4 + 5 = 9.
  • Add the tens: 30 + 20 = 50.
  • Total: 50 + 9 = 59.
  • There are 59 books in all.
• 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'horloge montre l'aiguille des heures sur 3 et l'aiguille des minutes sur 12. Quelle heure est-il?
• Choices: A) 12:03 B) 3:00 C) 3:30 D) 12:15
• Hint: When the minute hand is on 12, it is exactly o'clock. If the hour hand is on 5, it is 5:00.
• Steps:
  • The minute hand on 12 means exactly o'clock.
  • The hour hand is on 3.
  • So the time is 3:00.
• Answer: 3:00

[Easy] Measuring Length

• EN: A pencil is 15 cm long and an eraser is 4 cm long. How much longer is the pencil than the eraser?
• FR: Un crayon mesure 15 cm et une gomme mesure 4 cm. Combien le crayon est-il plus long que la gomme?
• Choices: A) 9 cm B) 10 cm C) 11 cm D) 19 cm
• Hint: Try a ruler that is 12 cm and an eraser that is 3 cm. 12 − 3 = 9 cm longer.
• Steps:
  • Subtract the eraser length from the pencil length.
  • 15 − 4 = 11.
  • The pencil is 11 cm longer.
• Answer: 11 cm

[Easy] Subtracting within 100

• EN: There are 48 stickers in a pack. Emma uses 23. How many stickers are left?
• FR: Il y a 48 autocollants dans un paquet. Emma en utilise 23. Combien d'autocollants reste-t-il?
• Choices: A) 24 B) 25 C) 26 D) 71
• Hint: Try 56 − 31. Ones: 6 − 1 = 5. Tens: 50 − 30 = 20. Answer: 25.
• Steps:
  • Subtract the ones: 8 − 3 = 5.
  • Subtract the tens: 40 − 20 = 20.
  • Total: 20 + 5 = 25.
  • There are 25 stickers left.
• Answer: 25

[Medium] Counting Coins

• EN: Theo has 2 dimes, 3 nickels, and 4 pennies. How many cents does he have in all?
• FR: Théo a 2 pièces de 10 cents, 3 pièces de 5 cents et 4 sous. Combien de cents a-t-il en tout?
• Choices: A) 35 cents B) 38 cents C) 39 cents D) 45 cents
• Hint: Try 1 dime + 2 nickels + 3 pennies. 10 + 10 + 3 = 23 cents.
• Steps:
  • 2 dimes = 20 cents.
  • 3 nickels = 15 cents.
  • 4 pennies = 4 cents.
  • 20 + 15 + 4 = 39 cents.
• Answer: 39 cents

[Medium] Pattern Time

• EN: Look at the pattern: 4, 8, 12, 16, ___. What number comes next?
• FR: Observe le motif : 4, 8, 12, 16, ___. Quel est le prochain nombre?
• Choices: A) 17 B) 18 C) 20 D) 22
• Hint: Try 3, 6, 9, 12. Each number goes up by 3. Add 3 to the last number.
• Steps:
  • The pattern increases by 4 each time.
  • 16 + 4 = 20.
  • The next number is 20.
• Answer: 20

[Medium] Half-Hour Time

• EN: School starts at 8:00 and the first break is 30 minutes later. What time is the break?
• FR: L'école commence à 8h00 et la première récréation est 30 minutes plus tard. À quelle heure est la récréation?
• Choices: A) 8:03 B) 8:30 C) 9:00 D) 9:30
• Hint: Try a class that starts at 10:00 and break is 30 minutes later: 10:30.
• Steps:
  • Start at 8:00.
  • Add 30 minutes: 8:00 + 30 minutes = 8:30.
  • The break is at 8:30.
• Answer: 8:30

[Medium] Adding with Carrying

• EN: A fruit stand sells 46 oranges in the morning and 37 oranges in the afternoon. How many oranges were sold in all?
• FR: Un kiosque vend 46 oranges le matin et 37 oranges l'après-midi. Combien d'oranges ont été vendues en tout?
• Choices: A) 73 B) 82 C) 83 D) 84
• Hint: Try 35 + 28. Ones: 5 + 8 = 13, write 3 carry 1. Tens: 3 + 2 + 1 = 6. Answer: 63.
• Steps:
  • Add the ones: 6 + 7 = 13. Write 3, carry 1.
  • Add the tens: 4 + 3 + 1 = 8.
  • Total: 83 oranges.
• Answer: 83

[Hard] Word Problem with Length

• EN: A garden path is 85 cm long. Workers add 27 cm more to the path. How long is the path now?
• FR: Un sentier de jardin mesure 85 cm. Les ouvriers ajoutent 27 cm de plus. Quelle est maintenant la longueur du sentier?
• Choices: A) 102 cm B) 111 cm C) 112 cm D) 58 cm
• Hint: Try 74 + 18. Ones: 4 + 8 = 12, write 2 carry 1. Tens: 7 + 1 + 1 = 9. Answer: 92.
• Steps:
  • Add the ones: 5 + 7 = 12. Write 2, carry 1.
  • Add the tens: 8 + 2 + 1 = 11.
  • Total: 112 cm.
  • The path is now 112 cm long.
• Answer: 112 cm

[Hard] Coins to Make a Dollar

• EN: Priya has 3 quarters and 2 dimes. How many cents does she have in all?
• FR: Priya a 3 pièces de 25 cents et 2 pièces de 10 cents. Combien de cents a-t-elle en tout?
• Choices: A) 75 cents B) 85 cents C) 90 cents D) 95 cents
• Hint: Try 2 quarters + 1 dime. 25 + 25 + 10 = 60 cents.
• Steps:
  • 3 quarters = 75 cents.
  • 2 dimes = 20 cents.
  • 75 + 20 = 95 cents.
  • Priya has 95 cents in all.
• Answer: 95 cents

[Easy] Multiplication by 5

• EN: What is 6 × 5?
• FR: Combien fait 6 × 5?
• Choices: A) 25 B) 30 C) 35 D) 36
• Hint: Try 4 × 5. Count by 5s four times: 5, 10, 15, 20.
• Steps:
  • Count by 5s six times: 5, 10, 15, 20, 25, 30.
  • So 6 × 5 = 30.
• Answer: 30

[Easy] Fractions — Half

• EN: A pizza is cut into 4 equal slices. Jack eats 2 slices. What fraction of the pizza did he eat?
• FR: Une pizza est coupée en 4 parts égales. Jack mange 2 parts. Quelle fraction de la pizza a-t-il mangée?
• Choices: A) 1/4 B) 2/3 C) 1/2 D) 3/4
• Hint: Try a pie cut into 6 slices. Eating 3 slices means eating 3/6, which equals 1/2.
• Steps:
  • He ate 2 out of 4 slices.
  • 2/4 = 1/2.
  • He ate 1/2 of the pizza.
• Answer: 1/2

[Easy] Basic Division

• EN: 20 ÷ 4 = ___
• FR: 20 ÷ 4 = ___
• Choices: A) 4 B) 5 C) 6 D) 8
• Hint: Try 12 ÷ 4. Ask: how many groups of 4 fit in 12? 4, 8, 12 — that is 3 groups.
• Steps:
  • Ask: how many groups of 4 fit in 20?
  • 4, 8, 12, 16, 20 — that is 5 groups.
  • So 20 ÷ 4 = 5.
• Answer: 5

[Easy] Multiplication by 2

• EN: What is 8 × 2?
• FR: Combien fait 8 × 2?
• Choices: A) 14 B) 15 C) 16 D) 18
• Hint: Try 7 × 2. Count by 2s seven times: 2, 4, 6, 8, 10, 12, 14.
• Steps:
  • Count by 2s eight times: 2, 4, 6, 8, 10, 12, 14, 16.
  • So 8 × 2 = 16.
• Answer: 16

[Medium] Missing Factor

• EN: ___ × 5 = 35. What is the missing number?
• FR: ___ × 5 = 35. Quel est le nombre manquant?
• Choices: A) 5 B) 6 C) 7 D) 8
• Hint: Try ___ × 5 = 20. Think: how many 5s make 20? 5, 10, 15, 20 — that is 4.
• Steps:
  • Ask: how many 5s make 35?
  • 5, 10, 15, 20, 25, 30, 35 — that is 7.
  • So 7 × 5 = 35.
• Answer: 7

[Medium] Perimeter of a Rectangle

• EN: A rectangle is 6 cm long and 3 cm wide. What is its perimeter?
• FR: Un rectangle mesure 6 cm de long et 3 cm de large. Quel est son périmètre?
• Choices: A) 9 cm B) 16 cm C) 18 cm D) 36 cm
• Hint: Try a rectangle 5 cm long and 2 cm wide. Perimeter = 5 + 2 + 5 + 2 = 14 cm.
• Steps:
  • Add all four sides: 6 + 3 + 6 + 3.
  • 6 + 3 = 9. 9 + 6 = 15. 15 + 3 = 18.
  • The perimeter is 18 cm.
• Answer: 18 cm

[Medium] Reading a Graph

• EN: A bar graph shows that 8 students like hockey, 5 like skating, and 3 like skiing. How many students were surveyed in all?
• FR: Un diagramme à barres montre que 8 élèves aiment le hockey, 5 le patinage et 3 le ski. Combien d'élèves ont été sondés en tout?
• Choices: A) 13 B) 15 C) 16 D) 18
• Hint: Try 6 + 4 + 2. Add them all: 6 + 4 = 10, then 10 + 2 = 12.
• Steps:
  • Add all three groups: 8 + 5 = 13.
  • 13 + 3 = 16.
  • So 16 students were surveyed.
• Answer: 16

[Medium] Multiplication by 10

• EN: What is 7 × 10?
• FR: Combien fait 7 × 10?
• Choices: A) 17 B) 60 C) 70 D) 77
• Hint: Try 4 × 10. Any number times 10 just gets a zero added at the end: 40.
• Steps:
  • Multiply 7 by 10.
  • Add a zero to 7: 70.
  • So 7 × 10 = 70.
• Answer: 70

[Hard] Fractions on a Number Line

• EN: A chocolate bar is shared equally among 4 friends. Each friend gets 1 piece. What fraction does each friend get, and how many pieces are left if 3 friends have eaten their share?
• FR: Une barre de chocolat est partagée également entre 4 amis. Chaque ami reçoit 1 morceau. Quelle fraction chaque ami obtient-il, et combien de morceaux restent-il si 3 amis ont mangé leur part?
• Choices: A) 1/4 each; 2 pieces left B) 1/4 each; 1 piece left C) 1/3 each; 1 piece left D) 1/2 each; 1 piece left
• Hint: Try sharing among 3 friends. Each gets 1/3. If 2 have eaten, 1 piece is left.
• Steps:
  • The bar is split into 4 equal pieces, so each friend gets 1/4.
  • 3 friends have eaten their share: 3 pieces are gone.
  • 4 − 3 = 1 piece left.
  • Answer: 1/4 each; 1 piece left
• Answer: 1/4 each; 1 piece left

[Hard] Multi-Step Word Problem

• EN: There are 3 boxes of crayons. Each box has 8 crayons. Bella gives away 7 crayons. How many crayons does she have left?
• FR: Il y a 3 boîtes de crayons. Chaque boîte contient 8 crayons. Bella donne 7 crayons. Combien de crayons lui reste-t-il?
• Choices: A) 15 B) 17 C) 21 D) 24
• Hint: Try 2 boxes of 6 crayons each: 2 × 6 = 12. Give away 4: 12 − 4 = 8.
• Steps:
  • Find the total: 3 × 8 = 24 crayons.
  • Subtract the ones given away: 24 − 7 = 17.
  • Bella has 17 crayons left.
• Answer: 17

[Easy] Multiplication Facts

• EN: What is 7 × 8?
• FR: Combien fait 7 × 8?
• Choices: A) 54 B) 56 C) 63 D) 64
• Hint: Try 6 × 8 = 48. Then add one more group of 8: 48 + 8 = 56.
• Steps:
  • 7 × 8 = 56.
  • You can check: 6 × 8 = 48, then 48 + 8 = 56.
• Answer: 56

[Easy] Decimal Place Value

• EN: What is the value of the digit 4 in the number 3.47?
• FR: Quelle est la valeur du chiffre 4 dans le nombre 3,47?
• Choices: A) 4 ones B) 4 tenths C) 4 hundredths D) 40
• Hint: In 2.65, the 6 is in the tenths place. The first digit after the decimal point is tenths.
• Steps:
  • In 3.47, the digits after the decimal are tenths then hundredths.
  • The digit 4 is right after the decimal point.
  • So 4 is in the tenths place, meaning 4 tenths.
• Answer: 4 tenths

[Easy] Area of a Rectangle

• EN: A classroom is 9 m long and 6 m wide. What is the area of the classroom?
• FR: Une salle de classe a 9 m de long et 6 m de large. Quelle est l'aire de la salle de classe?
• Choices: A) 30 m² B) 45 m² C) 54 m² D) 60 m²
• Hint: Try a room 5 m long and 4 m wide. Area = 5 × 4 = 20 m².
• Steps:
  • Area = length × width.
  • 9 × 6 = 54.
  • The area is 54 m².
• Answer: 54 m²

[Easy] Long Division

• EN: 36 ÷ 4 = ___
• FR: 36 ÷ 4 = ___
• Choices: A) 7 B) 8 C) 9 D) 11
• Hint: Try 28 ÷ 4. Ask: 4 × ? = 28. 4 × 7 = 28, so the answer is 7.
• Steps:
  • Ask: 4 × ? = 36.
  • 4 × 9 = 36.
  • So 36 ÷ 4 = 9.
• Answer: 9

[Medium] Missing Factor Equation

• EN: 36 ÷ ___ = 9. What is the missing number?
• FR: 36 ÷ ___ = 9. Quel est le nombre manquant?
• Choices: A) 3 B) 4 C) 5 D) 6
• Hint: Try 24 ÷ ___ = 6. Think: 6 × ? = 24. 6 × 4 = 24, so the missing number is 4.
• Steps:
  • Think: 9 × ? = 36.
  • 9 × 4 = 36.
  • So the missing number is 4.
• Answer: 4

[Medium] Comparing Fractions

• EN: Which fraction is greater: 3/4 or 2/3?
• FR: Quelle fraction est plus grande : 3/4 ou 2/3?
• Choices: A) 2/3 B) 3/4 C) They are equal D) Cannot be determined
• Hint: Try 1/2 vs. 1/3. 1/2 = 3/6 and 1/3 = 2/6. Since 3 > 2, we know 1/2 > 1/3.
• Steps:
  • Find a common denominator: 12.
  • 3/4 = 9/12. 2/3 = 8/12.
  • 9/12 > 8/12, so 3/4 is greater.
• Answer: 3/4

[Medium] Elapsed Time

• EN: Hockey practice starts at 3:15 p.m. and ends at 4:45 p.m. How long is practice?
• FR: L'entraînement de hockey commence à 15h15 et se termine à 16h45. Quelle est la durée de l'entraînement?
• Choices: A) 1 hour 15 minutes B) 1 hour 30 minutes C) 1 hour 45 minutes D) 2 hours
• Hint: Try 2:10 to 3:50. From 2:10 to 3:10 is 1 hour, then 10 to 50 is 40 more minutes = 1 hour 40 minutes.
• Steps:
  • From 3:15 to 4:15 is 1 hour.
  • From 4:15 to 4:45 is 30 more minutes.
  • Total: 1 hour 30 minutes.
• Answer: 1 hour 30 minutes

[Medium] Table Word Problem

• EN: The table shows snack prices at a school café. A muffin costs $1.25 and a juice costs $1.50. How much does it cost to buy 2 muffins and 1 juice?
• FR: Le tableau indique les prix des collations au café de l'école. Un muffin coûte 1,25 $ et un jus coûte 1,50 $. Combien coûtent 2 muffins et 1 jus?
• Choices: A) $3.75 B) $4.00 C) $4.25 D) $5.00
• Hint: Try 1 cookie at $2.00 and 1 milk at $1.00. 1 × $2.00 + 1 × $1.00 = $3.00.
• Steps:
  • 2 muffins: 2 × $1.25 = $2.50.
  • 1 juice: $1.50.
  • Total: $2.50 + $1.50 = $4.00.
• Answer: $4.00

[Hard] Long Division with Remainders

• EN: 75 ÷ 8 = ___ remainder ___. Which answer is correct?
• FR: 75 ÷ 8 = ___ reste ___. Quelle réponse est correcte?
• Choices: A) 8 remainder 9 B) 9 remainder 3 C) 9 remainder 4 D) 10 remainder 5
• Hint: Try 53 ÷ 6. 6 × 8 = 48, and 53 − 48 = 5. So the answer is 8 remainder 5.
• Steps:
  • 8 × 9 = 72.
  • 75 − 72 = 3.
  • So 75 ÷ 8 = 9 remainder 3.
• Answer: 9 remainder 3

[Hard] Multi-Step Decimals

• EN: Felix buys a hockey card for $3.75 and a notebook for $2.50. He pays with a $10 bill. How much change does he get?
• FR: Félix achète une carte de hockey pour 3,75 $ et un cahier pour 2,50 $. Il paye avec un billet de 10 $. Combien de monnaie reçoit-il?
• Choices: A) $3.25 B) $3.50 C) $3.75 D) $6.25
• Hint: Try spending $2.50 + $1.25 = $3.75 from $10. Change = $10.00 − $3.75 = $6.25.
• Steps:
  • Total spent: $3.75 + $2.50 = $6.25.
  • Change: $10.00 − $6.25 = $3.75.
  • Felix gets $3.75 in change.
• Answer: $3.75

[Easy] Multi-Digit Multiplication

• EN: What is 34 × 6?
• FR: Combien fait 34 × 6?
• Choices: A) 184 B) 200 C) 204 D) 210
• Hint: Try 23 × 4. Ones: 3 × 4 = 12, write 2 carry 1. Tens: 2 × 4 + 1 = 9. Answer: 92.
• Steps:
  • Ones: 4 × 6 = 24. Write 4, carry 2.
  • Tens: 3 × 6 = 18, plus 2 = 20.
  • Total: 204.
• Answer: 204

[Easy] Adding Fractions with Like Denominators

• EN: 2/7 + 3/7 = ___
• FR: 2/7 + 3/7 = ___
• Choices: A) 5/7 B) 5/14 C) 6/7 D) 1/7
• Hint: Try 1/5 + 2/5. Add the numerators: 1 + 2 = 3. Keep the same denominator: 3/5.
• Steps:
  • Add the numerators: 2 + 3 = 5.
  • Keep the denominator: 7.
  • Answer: 5/7
• Answer: 5/7

[Easy] Percentage — 50%

• EN: What is 50% of 80?
• FR: Combien fait 50 % de 80?
• Choices: A) 20 B) 30 C) 40 D) 50
• Hint: Try 50% of 60. Half of 60 is 30.
• Steps:
  • 50% means half.
  • Half of 80 is 80 ÷ 2 = 40.
  • So 50% of 80 = 40.
• Answer: 40

[Easy] Decimal Operations

• EN: 4.6 + 3.2 = ___
• FR: 4,6 + 3,2 = ___
• Choices: A) 7.2 B) 7.8 C) 8.0 D) 8.2
• Hint: Try 3.4 + 2.3. Tenths: 4 + 3 = 7. Ones: 3 + 2 = 5. Answer: 5.7.
• Steps:
  • Add tenths: 6 + 2 = 8.
  • Add ones: 4 + 3 = 7.
  • Total: 7.8.
• Answer: 7.8

[Medium] Missing Factor with Large Numbers

• EN: ___ × 18 = 108. What is the missing number?
• FR: ___ × 18 = 108. Quel est le nombre manquant?
• Choices: A) 5 B) 6 C) 7 D) 8
• Hint: Try ___ × 12 = 60. Ask: 12 × 5 = 60, so the missing number is 5.
• Steps:
  • Ask: 18 × ? = 108.
  • Try 18 × 6 = 108. Yes!
  • The missing number is 6.
• Answer: 6

[Medium] Volume of a Rectangular Prism

• EN: A box is 5 cm long, 4 cm wide, and 3 cm tall. What is the volume of the box?
• FR: Une boîte mesure 5 cm de long, 4 cm de large et 3 cm de hauteur. Quel est le volume de la boîte?
• Choices: A) 12 cm³ B) 47 cm³ C) 60 cm³ D) 75 cm³
• Hint: Try a box 3 cm × 2 cm × 4 cm. Volume = 3 × 2 × 4 = 24 cm³.
• Steps:
  • Volume = length × width × height.
  • 5 × 4 = 20.
  • 20 × 3 = 60.
  • The volume is 60 cm³.
• Answer: 60 cm³

[Medium] Percentage — 25%

• EN: A Tim Hortons muffin normally costs $2.00. It is on sale for 25% off. How much is the discount?
• FR: Un muffin Tim Hortons coûte normalement 2,00 $. Il est en solde à 25 % de rabais. Quel est le rabais?
• Choices: A) $0.25 B) $0.50 C) $0.75 D) $1.00
• Hint: Try 25% of $4.00. Half of $4.00 is $2.00. Half of that is $1.00.
• Steps:
  • 25% = one quarter.
  • One quarter of $2.00 = $2.00 ÷ 4 = $0.50.
  • The discount is $0.50.
• Answer: $0.50

[Medium] Table Word Problem

• EN: The table shows the number of pucks sold at a sports store. Monday: 12, Tuesday: 18, Wednesday: 15. Each puck costs $3. How much money was made on Tuesday and Wednesday together?
• FR: Le tableau indique le nombre de rondelles vendues dans un magasin de sport. Lundi : 12, Mardi : 18, Mercredi : 15. Chaque rondelle coûte 3 $. Combien d'argent a-t-on gagné mardi et mercredi ensemble?
• Choices: A) $90 B) $99 C) $105 D) $135
• Hint: Try 10 pucks + 5 pucks = 15 pucks. 15 × $3 = $45.
• Steps:
  • Tuesday + Wednesday: 18 + 15 = 33 pucks.
  • 33 × $3 = $99.
  • $99 was made on those two days.
• Answer: $99

[Hard] Multi-Digit Division

• EN: 756 ÷ 7 = ___
• FR: 756 ÷ 7 = ___
• Choices: A) 107 B) 108 C) 110 D) 117
• Hint: Try 546 ÷ 6. 6 goes into 5 zero times; into 54 nine times (6 × 9 = 54); into 6 once. Answer: 91.
• Steps:
  • 7 goes into 7 once (1). Bring down 5.
  • 7 goes into 5 zero times (0). Bring down 6.
  • 7 goes into 56 eight times (8). 7 × 8 = 56.
  • So 756 ÷ 7 = 108.
• Answer: 108

[Hard] Multi-Step Fraction and Decimal Problem

• EN: Sofia has $15.00. She spends 1/5 of it on a snack and $4.75 on a book. How much money does she have left?
• FR: Sofia a 15,00 $. Elle dépense 1/5 de cet argent pour une collation et 4,75 $ pour un livre. Combien d'argent lui reste-t-il?
• Choices: A) $5.25 B) $7.25 C) $7.50 D) $10.25
• Hint: Try $10.00 total. Spend 1/5 ($2.00) and $3.50 more. Spent: $5.50. Left: $4.50.
• Steps:
  • 1/5 of $15.00 = $15.00 ÷ 5 = $3.00.
  • Total spent: $3.00 + $4.75 = $7.75.
  • Left: $15.00 − $7.75 = $7.25.
  • Sofia has $7.25 left.
• Answer: $7.25

[Easy] Percent of a Number

• EN: What is 30% of 90?
• FR: Combien fait 30 % de 90?
• Choices: A) 21 B) 27 C) 30 D) 33
• Hint: Try 10% of 90 first: 90 ÷ 10 = 9. Then multiply by 3 for 30%.
• Steps:
  • 10% of 90 = 9.
  • 30% = 3 × 9 = 27.
  • So 30% of 90 = 27.
• Answer: 27

[Easy] Integer Introduction

• EN: The temperature in Winnipeg drops from 3°C to −4°C. What is the change in temperature?
• FR: La température à Winnipeg descend de 3 °C à −4 °C. Quel est le changement de température?
• Choices: A) −1°C B) −7°C C) 7°C D) 1°C
• Hint: Try going from 2°C to −3°C. The change is 2 − (−3) = 5 degrees.
• Steps:
  • Change = final − starting = −4 − 3 = −7.
  • The temperature dropped by 7°C.
• Answer: −7°C

[Easy] Order of Operations — BEDMAS

• EN: What is 3 + 4 × 2?
• FR: Combien fait 3 + 4 × 2?
• Choices: A) 10 B) 11 C) 14 D) 24
• Hint: Try 5 + 2 × 3. Multiply first: 2 × 3 = 6. Then add: 5 + 6 = 11.
• Steps:
  • Multiply first (BEDMAS): 4 × 2 = 8.
  • Then add: 3 + 8 = 11.
  • So the answer is 11.
• Answer: 11

[Easy] Ratios

• EN: In a class, there are 12 girls and 8 boys. What is the ratio of girls to boys?
• FR: Dans une classe, il y a 12 filles et 8 garçons. Quel est le rapport filles/garçons?
• Choices: A) 3:2 B) 2:3 C) 4:3 D) 3:4
• Hint: Try 6 girls and 4 boys. Both divide by 2: 6:4 = 3:2.
• Steps:
  • Girls to boys = 12:8.
  • Simplify by dividing both by 4: 12÷4 = 3, 8÷4 = 2.
  • Ratio = 3:2.
• Answer: 3:2

[Medium] Fraction Multiplication

• EN: What is 3/4 × 2/5?
• FR: Combien fait 3/4 × 2/5?
• Choices: A) 5/9 B) 6/20 C) 3/10 D) 5/20
• Hint: Try 2/3 × 1/4. Multiply numerators: 2 × 1 = 2. Multiply denominators: 3 × 4 = 12. Answer: 2/12 = 1/6.
• Steps:
  • Multiply numerators: 3 × 2 = 6.
  • Multiply denominators: 4 × 5 = 20.
  • 6/20 = 3/10.
  • So 3/4 × 2/5 = 3/10.
• Answer: 3/10

[Medium] BEDMAS with Brackets

• EN: What is (6 + 2) × 3 − 4?
• FR: Combien fait (6 + 2) × 3 − 4?
• Choices: A) 18 B) 20 C) 22 D) 24
• Hint: Try (4 + 1) × 2 − 3. Brackets first: 5 × 2 = 10. Then subtract: 10 − 3 = 7.
• Steps:
  • Brackets first: 6 + 2 = 8.
  • Multiply: 8 × 3 = 24.
  • Subtract: 24 − 4 = 20.
  • The answer is 20.
• Answer: 20

[Medium] Rate Problem

• EN: A car travels 120 km in 2 hours. At the same rate, how far will it travel in 5 hours?
• FR: Une voiture parcourt 120 km en 2 heures. Au même rythme, quelle distance parcourra-t-elle en 5 heures?
• Choices: A) 240 km B) 280 km C) 300 km D) 360 km
• Hint: Try 80 km in 2 hours. Rate = 40 km/h. In 3 hours: 40 × 3 = 120 km.
• Steps:
  • Rate = 120 ÷ 2 = 60 km/h.
  • In 5 hours: 60 × 5 = 300 km.
  • The car travels 300 km.
• Answer: 300 km

[Medium] Multi-Step Table Problem

• EN: The table shows costs at a school supply store. A ruler costs $1.20, a pencil costs $0.60, and an eraser costs $0.45. Kayla buys 2 rulers, 3 pencils, and 1 eraser. What is her total cost?
• FR: Le tableau indique les prix dans une papeterie. Une règle coûte 1,20 $, un crayon coûte 0,60 $ et une gomme coûte 0,45 $. Kayla achète 2 règles, 3 crayons et 1 gomme. Quel est le montant total?
• Choices: A) $3.45 B) $4.05 C) $4.20 D) $4.65
• Hint: Try 1 ruler ($1.00) + 2 pencils ($0.50 each) + 1 eraser ($0.40) = $1.00 + $1.00 + $0.40 = $2.40.
• Steps:
  • 2 rulers: 2 × $1.20 = $2.40.
  • 3 pencils: 3 × $0.60 = $1.80.
  • 1 eraser: $0.45.
  • Total: $2.40 + $1.80 + $0.45 = $4.65.
• Answer: $4.65

[Hard] Fraction Division

• EN: What is 3/4 ÷ 1/2?
• FR: Combien fait 3/4 ÷ 1/2?
• Choices: A) 3/8 B) 1/2 C) 3/2 D) 2/3
• Hint: Try 2/3 ÷ 1/4. Multiply by the reciprocal: 2/3 × 4/1 = 8/3.
• Steps:
  • Multiply by the reciprocal of 1/2, which is 2/1.
  • 3/4 × 2/1 = 6/4 = 3/2.
  • So 3/4 ÷ 1/2 = 3/2.
• Answer: 3/2

[Hard] Multi-Step Integer and Percent Problem

• EN: Noah has $50. He spends 40% on a hockey stick and receives a $5 refund. How much money does he have now?
• FR: Noah a 50 $. Il dépense 40 % sur un bâton de hockey et reçoit un remboursement de 5 $. Combien d'argent a-t-il maintenant?
• Choices: A) $20 B) $25 C) $30 D) $35
• Hint: Try $60 spent at 50%: spend $30, get $4 back. Left: $60 − $30 + $4 = $34.
• Steps:
  • 40% of $50 = $20 spent.
  • Remaining: $50 − $20 = $30.
  • Add refund: $30 + $5 = $35.
  • Noah has $35.
• Answer: $35

[Easy] Integer Operations — Addition

• EN: What is −8 + 5?
• FR: Combien fait −8 + 5?
• Choices: A) −3 B) 3 C) −13 D) 13
• Hint: Try −6 + 4. Start at −6 and move 4 steps right on the number line: −5, −4, −3, −2.
• Steps:
  • Start at −8.
  • Move 5 steps to the right: −7, −6, −5, −4, −3.
  • −8 + 5 = −3.
• Answer: −3

[Easy] Percent — Discount

• EN: A pair of skates costs $80. They are on sale for 15% off. How much is the discount?
• FR: Une paire de patins coûte 80 $. Ils sont en solde à 15 % de rabais. Quel est le rabais?
• Choices: A) $8 B) $10 C) $12 D) $15
• Hint: Try 10% of $80 first: $8. Then find 5%: $4. Add: $8 + $4 = $12.
• Steps:
  • 10% of $80 = $8.
  • 5% of $80 = $4.
  • 15% = $8 + $4 = $12.
  • The discount is $12.
• Answer: $12

[Easy] One-Step Linear Equation

• EN: Solve for x: x + 9 = 15
• FR: Résous pour x : x + 9 = 15
• Choices: A) x = 5 B) x = 6 C) x = 7 D) x = 24
• Hint: Try y + 4 = 10. Subtract 4 from both sides: y = 10 − 4 = 6.
• Steps:
  • Subtract 9 from both sides: x = 15 − 9.
  • x = 6.
• Answer: x = 6

[Easy] Integer Subtraction

• EN: What is 4 − (−3)?
• FR: Combien fait 4 − (−3)?
• Choices: A) 1 B) 7 C) −1 D) −7
• Hint: Try 5 − (−2). Subtracting a negative is like adding: 5 + 2 = 7.
• Steps:
  • Subtracting a negative is the same as adding.
  • 4 − (−3) = 4 + 3 = 7.
• Answer: 7

[Medium] Probability

• EN: A bag has 3 red marbles, 4 blue marbles, and 3 green marbles. What is the probability of randomly picking a blue marble?
• FR: Un sac contient 3 billes rouges, 4 billes bleues et 3 billes vertes. Quelle est la probabilité de choisir une bille bleue au hasard?
• Choices: A) 2/5 B) 3/10 C) 4/10 D) 1/4
• Hint: Try a bag with 2 red and 3 blue: total = 5. Probability of blue = 3/5.
• Steps:
  • Total marbles: 3 + 4 + 3 = 10.
  • Blue marbles: 4.
  • Probability = 4/10 = 2/5.
• Answer: 2/5

[Medium] Surface Area of a Rectangular Prism

• EN: A box is 5 cm long, 3 cm wide, and 2 cm tall. What is the surface area?
• FR: Une boîte mesure 5 cm de long, 3 cm de large et 2 cm de hauteur. Quelle est l'aire totale de ses surfaces?
• Choices: A) 30 cm² B) 52 cm² C) 62 cm² D) 72 cm²
• Hint: Try a box 4 × 2 × 1. SA = 2(4×2) + 2(4×1) + 2(2×1) = 16 + 8 + 4 = 28 cm².
• Steps:
  • Top and bottom: 2 × (5 × 3) = 2 × 15 = 30.
  • Front and back: 2 × (5 × 2) = 2 × 10 = 20.
  • Left and right: 2 × (3 × 2) = 2 × 6 = 12.
  • Total: 30 + 20 + 12 = 62 cm².
• Answer: 62 cm²

[Medium] Tip Calculation

• EN: A family's restaurant bill is $60. They want to leave a 15% tip. What is the total amount they pay including the tip?
• FR: La facture d'un restaurant pour une famille est de 60 $. Ils veulent laisser un pourboire de 15 %. Quel est le montant total qu'ils paient, pourboire inclus?
• Choices: A) $66 B) $68 C) $69 D) $75
• Hint: Try a $40 bill with 15% tip. 10% = $4, 5% = $2. Tip = $6. Total = $46.
• Steps:
  • 10% of $60 = $6.
  • 5% of $60 = $3.
  • Tip = $6 + $3 = $9.
  • Total = $60 + $9 = $69.
• Answer: $69

[Medium] Table Word Problem

• EN: The table shows the snowfall (cm) in Ottawa: Monday 8 cm, Tuesday 12 cm, Wednesday 5 cm. The city needs at least 30 cm total before plowing. How many more centimetres are needed?
• FR: Le tableau indique les chutes de neige (cm) à Ottawa : lundi 8 cm, mardi 12 cm, mercredi 5 cm. La ville a besoin d'au moins 30 cm au total avant de déneiger. Combien de centimètres de plus sont nécessaires?
• Choices: A) 3 cm B) 5 cm C) 7 cm D) 25 cm
• Hint: Try 6 + 10 + 4 = 20. If 28 needed, you need 28 − 20 = 8 more.
• Steps:
  • Total so far: 8 + 12 + 5 = 25 cm.
  • Still needed: 30 − 25 = 5 cm.
  • So 5 more centimetres are needed.
• Answer: 5 cm

[Hard] Integer Multiplication and Division

• EN: What is (−4) × (−3) ÷ 2?
• FR: Combien fait (−4) × (−3) ÷ 2?
• Choices: A) −6 B) 6 C) −12 D) 12
• Hint: Try (−2) × (−5) ÷ 2. Negative × negative = positive: 10 ÷ 2 = 5.
• Steps:
  • (−4) × (−3) = 12 (negative × negative = positive).
  • 12 ÷ 2 = 6.
  • The answer is 6.
• Answer: 6

[Hard] Two-Step Linear Equation

• EN: Solve for n: 3n − 7 = 14
• FR: Résous pour n : 3n − 7 = 14
• Choices: A) n = 5 B) n = 6 C) n = 7 D) n = 9
• Hint: Try 2n − 3 = 9. Add 3 to both sides: 2n = 12. Divide by 2: n = 6.
• Steps:
  • Add 7 to both sides: 3n = 21.
  • Divide both sides by 3: n = 7.
• Answer: n = 7

[Easy] Perfect Squares

• EN: What is √144?
• FR: Combien fait √144?
• Choices: A) 11 B) 12 C) 13 D) 14
• Hint: Try √100. Ask: what number times itself equals 100? 10 × 10 = 100, so √100 = 10.
• Steps:
  • Ask: what number times itself equals 144?
  • 12 × 12 = 144.
  • So √144 = 12.
• Answer: 12

[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: Try $20 to $25. Increase = $5. Percent = (5 ÷ 20) × 100 = 25%.
• Steps:
  • Increase: $50 − $40 = $10.
  • Percent increase = (10 ÷ 40) × 100 = 25%.
• Answer: 25%

[Easy] Mean

• EN: Find the mean (average) of these scores: 8, 6, 10, 4.
• FR: Trouve la moyenne de ces résultats : 8, 6, 10, 4.
• Choices: A) 6 B) 7 C) 8 D) 10
• Hint: Try scores 5, 7, 9, 3. Sum = 24. Mean = 24 ÷ 4 = 6.
• Steps:
  • Add all scores: 8 + 6 + 10 + 4 = 28.
  • Divide by the number of scores: 28 ÷ 4 = 7.
  • The mean is 7.
• Answer: 7

[Easy] Two-Step Linear Equation

• EN: Solve for x: 2x + 3 = 11
• FR: Résous pour x : 2x + 3 = 11
• Choices: A) x = 3 B) x = 4 C) x = 5 D) x = 7
• Hint: Try 3x + 1 = 10. Subtract 1: 3x = 9. Divide by 3: x = 3.
• Steps:
  • Subtract 3 from both sides: 2x = 8.
  • Divide by 2: x = 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 8 cm. Quelle est la longueur de l'hypoténuse?
• Choices: A) 9 cm B) 10 cm C) 11 cm D) 14 cm
• Hint: Try legs of 3 and 4. 3² + 4² = 9 + 16 = 25. √25 = 5. So hypotenuse = 5.
• Steps:
  • a² + b² = c².
  • 6² + 8² = 36 + 64 = 100.
  • c = √100 = 10.
  • The hypotenuse is 10 cm.
• Answer: 10 cm

[Medium] Slope Introduction

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

[Medium] Median and Mode

• EN: Find the median of these values: 3, 7, 9, 2, 5.
• FR: Trouve la médiane de ces valeurs : 3, 7, 9, 2, 5.
• Choices: A) 3 B) 5 C) 7 D) 9
• Hint: Try 4, 8, 1, 6, 3. First sort them: 1, 3, 4, 6, 8. The middle value is 4.
• Steps:
  • Sort the values: 2, 3, 5, 7, 9.
  • The middle value (3rd of 5) is 5.
  • The median is 5.
• Answer: 5

[Medium] Percent Decrease

• EN: A sweater's price drops from $80 to $60. What is the percent decrease?
• FR: Le prix d'un chandail passe de 80 $ à 60 $. Quel est le pourcentage de diminution?
• Choices: A) 20% B) 25% C) 30% D) 33%
• Hint: Try $50 to $40. Decrease = $10. Percent = (10 ÷ 50) × 100 = 20%.
• Steps:
  • Decrease: $80 − $60 = $20.
  • Percent decrease = (20 ÷ 80) × 100 = 25%.
• Answer: 25%

[Hard] Pythagorean Theorem — Word Problem

• EN: A ladder leans against a wall. The base of the ladder is 5 m from the wall and the ladder is 13 m long. How high up the wall does the ladder reach?
• FR: Une échelle est appuyée contre un mur. La base de l'échelle est à 5 m du mur et l'échelle a 13 m de long. À quelle hauteur sur le mur l'échelle est-elle appuyée?
• Choices: A) 8 m B) 10 m C) 12 m D) 14 m
• Hint: Try base = 6 m, ladder = 10 m. 10² − 6² = 100 − 36 = 64. √64 = 8 m high.
• Steps:
  • a² + b² = c². Find b.
  • 5² + b² = 13².
  • 25 + b² = 169.
  • b² = 144. b = √144 = 12.
  • The ladder reaches 12 m up the wall.
• Answer: 12 m

[Hard] Two-Step Equation with Fractions

• EN: Solve for y: y/3 + 5 = 9
• FR: Résous pour y : y/3 + 5 = 9
• Choices: A) y = 4 B) y = 9 C) y = 12 D) y = 42
• Hint: Try y/2 + 3 = 7. Subtract 3: y/2 = 4. Multiply by 2: y = 8.
• Steps:
  • Subtract 5 from both sides: y/3 = 4.
  • Multiply both sides by 3: y = 12.
• Answer: y = 12

[Easy] Solving a Linear Equation

• EN: Solve for x: 5x − 3 = 17
• FR: Résous pour x : 5x − 3 = 17
• Choices: A) x = 3 B) x = 4 C) x = 5 D) x = 14
• Hint: Try 3x − 2 = 13. Add 2: 3x = 15. Divide by 3: x = 5.
• Steps:
  • Add 3 to both sides: 5x = 20.
  • Divide by 5: x = 4.
• Answer: x = 4

[Easy] Adding Polynomials

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

[Easy] Slope-Intercept Form

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

[Easy] Linear Inequality

• EN: Solve for x: x − 4 > 6
• FR: Résous pour x : x − 4 > 6
• Choices: A) x > 2 B) x > 10 C) x < 10 D) x < 2
• Hint: Try x − 3 > 5. Add 3 to both sides: x > 8.
• Steps:
  • Add 4 to both sides: x > 10.
• Answer: x > 10

[Medium] SOH-CAH-TOA

• EN: In a right triangle, the side opposite the angle θ is 5 cm and the hypotenuse is 13 cm. What is sin θ?
• FR: Dans un triangle rectangle, le côté opposé à l'angle θ est 5 cm et l'hypoténuse est 13 cm. Quelle est la valeur de sin θ?
• Choices: A) 5/13 B) 13/5 C) 12/13 D) 5/12
• Hint: Try opposite = 3, hypotenuse = 5. sin θ = opposite/hypotenuse = 3/5.
• Steps:
  • sin θ = opposite ÷ hypotenuse.
  • sin θ = 5 ÷ 13 = 5/13.
• Answer: 5/13

[Medium] Multiplying Polynomials

• EN: Expand: (x + 3)(x + 4)
• FR: Développe : (x + 3)(x + 4)
• Choices: A) x² + 7x + 12 B) x² + 7x + 7 C) x² + 12x + 7 D) x² + 6x + 12
• Hint: Try (x + 2)(x + 5). Multiply: x·x + x·5 + 2·x + 2·5 = x² + 5x + 2x + 10 = x² + 7x + 10.
• Steps:
  • x · x = x².
  • x · 4 = 4x.
  • 3 · x = 3x.
  • 3 · 4 = 12.
  • Combine: x² + 7x + 12.
• Answer: x² + 7x + 12

[Medium] Similar Triangles

• EN: Two similar triangles have sides in a ratio of 2:3. The smaller triangle has a side of 8 cm. What is the corresponding side of the larger triangle?
• FR: Deux triangles semblables ont des côtés dans un rapport de 2:3. Le plus petit triangle a un côté de 8 cm. Quel est le côté correspondant du plus grand triangle?
• Choices: A) 10 cm B) 11 cm C) 12 cm D) 16 cm
• Hint: Try ratio 3:4, smaller side 9 cm. 9 ÷ 3 = 3. 3 × 4 = 12 cm.
• Steps:
  • Scale factor: 3/2.
  • Larger side = 8 × (3/2) = 12.
  • The larger triangle's corresponding side is 12 cm.
• Answer: 12 cm

[Medium] Graphing a Line

• EN: Which point lies on the line y = 2x − 1?
• FR: Quel point se trouve sur la droite y = 2x − 1?
• Choices: A) (1, 0) B) (2, 3) C) (3, 4) D) (0, 1)
• Hint: Try y = 3x + 1. Plug in x = 2: y = 7. So (2, 7) is on the line.
• Steps:
  • Test (2, 3): y = 2(2) − 1 = 4 − 1 = 3. Yes!
  • Test (1, 0): y = 2(1) − 1 = 1 ≠ 0. No.
  • So (2, 3) is on the line.
• Answer: (2, 3)

[Hard] Trigonometry — Finding a Side

• EN: In a right triangle, the angle is 30° and the hypotenuse is 20 cm. How long is the side adjacent to the 30° angle? (cos 30° ≈ 0.866)
• FR: Dans un triangle rectangle, l'angle est de 30° et l'hypoténuse est de 20 cm. Quelle est la longueur du côté adjacent à l'angle de 30°? (cos 30° ≈ 0,866)
• Choices: A) 10 cm B) 14.5 cm C) 17.3 cm D) 23.1 cm
• Hint: Try angle 60° and hypotenuse 10. cos 60° = 0.5. Adjacent = 0.5 × 10 = 5 cm.
• Steps:
  • cos θ = adjacent ÷ hypotenuse.
  • Adjacent = cos 30° × 20.
  • Adjacent = 0.866 × 20 = 17.32 ≈ 17.3 cm.
• Answer: 17.3 cm

[Hard] Systems of Equations — Substitution

• EN: Solve the system: y = 2x + 1 and y = x + 5. What is x?
• FR: Résous le système : y = 2x + 1 et y = x + 5. Quelle est la valeur de x?
• Choices: A) x = 2 B) x = 3 C) x = 4 D) x = 6
• Hint: Try y = 3x and y = x + 4. Set equal: 3x = x + 4. 2x = 4. x = 2.
• Steps:
  • Set equations equal: 2x + 1 = x + 5.
  • Subtract x: x + 1 = 5.
  • Subtract 1: x = 4.
• Answer: x = 4

[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 + 4) D) (x + 3)(x + 3)
• Hint: Try x² + 7x + 12. Find two numbers that multiply to 12 and add to 7: 3 and 4. So (x + 3)(x + 4).
• Steps:
  • Find two numbers that multiply to 6 and add to 5.
  • 2 × 3 = 6 and 2 + 3 = 5. ✓
  • So x² + 5x + 6 = (x + 2)(x + 3).
• Answer: (x + 2)(x + 3)

[Easy] Trigonometry — Tan Ratio

• EN: In a right triangle, the opposite side is 7 cm and the adjacent side is 7 cm. What is tan θ?
• FR: Dans un triangle rectangle, le côté opposé est 7 cm et le côté adjacent est 7 cm. Quelle est la valeur de tan θ?
• Choices: A) 0 B) 1 C) 7 D) 2
• Hint: Try opposite = 4, adjacent = 8. tan θ = 4/8 = 1/2.
• Steps:
  • tan θ = opposite ÷ adjacent.
  • tan θ = 7 ÷ 7 = 1.
• Answer: 1

[Easy] Volume of a Cylinder

• EN: A cylinder has radius 3 cm and height 10 cm. What is its volume? (Use π ≈ 3.14)
• FR: Un cylindre a un rayon de 3 cm et une hauteur de 10 cm. Quel est son volume? (Utilise π ≈ 3,14)
• Choices: A) 94.2 cm³ B) 188.4 cm³ C) 282.6 cm³ D) 314 cm³
• Hint: Try radius 2 cm, height 5 cm. V = 3.14 × 4 × 5 = 62.8 cm³.
• Steps:
  • V = π × r² × h.
  • V = 3.14 × 9 × 10.
  • V = 3.14 × 90 = 282.6 cm³.
• Answer: 282.6 cm³

[Easy] Systems of Equations

• EN: Solve: x + y = 10 and x − y = 2. What is x?
• FR: Résous : x + y = 10 et x − y = 2. Quelle est la valeur de x?
• Choices: A) x = 4 B) x = 5 C) x = 6 D) x = 8
• Hint: Try x + y = 8 and x − y = 2. Add them: 2x = 10, so x = 5.
• Steps:
  • Add the equations: 2x = 12.
  • Divide by 2: x = 6.
• Answer: x = 6

[Medium] Completing the Square

• EN: Solve by completing the square: x² + 4x = 5
• FR: Résous en complétant le carré : x² + 4x = 5
• Choices: A) x = 1 or x = −5 B) x = 1 or x = 5 C) x = −1 or x = 5 D) x = 2 or x = −4
• Hint: Try x² + 6x = 7. Add (6/2)² = 9: x² + 6x + 9 = 16. (x+3)² = 16. x = 1 or x = −7.
• Steps:
  • Add (4/2)² = 4 to both sides: x² + 4x + 4 = 9.
  • (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 radius of 5 cm. What is the circumference? (Use π ≈ 3.14)
• FR: Un cercle a un rayon de 5 cm. Quelle est sa circonférence? (Utilise π ≈ 3,14)
• Choices: A) 15.7 cm B) 31.4 cm C) 78.5 cm D) 94.2 cm
• Hint: Try radius 3 cm. C = 2 × 3.14 × 3 = 18.84 cm.
• Steps:
  • C = 2πr.
  • C = 2 × 3.14 × 5.
  • C = 31.4 cm.
• Answer: 31.4 cm

[Medium] Quadratic Formula

• EN: Use the quadratic formula to find the roots of x² − 5x + 6 = 0.
• FR: Utilise la formule quadratique pour trouver les racines de x² − 5x + 6 = 0.
• Choices: A) x = 1 or x = 6 B) x = 2 or x = 3 C) x = −2 or x = −3 D) x = 3 or x = 4
• Hint: Try x² − 7x + 12 = 0. Factor: (x − 3)(x − 4) = 0. Roots: x = 3 or x = 4.
• Steps:
  • Factor: x² − 5x + 6 = (x − 2)(x − 3) = 0.
  • So x = 2 or x = 3.
• Answer: x = 2 or x = 3

[Medium] Surface Area of a Cone

• EN: A cone has radius 4 cm and slant height 8 cm. What is the total surface area? (Use π ≈ 3.14)
• FR: Un cône a un rayon de 4 cm et une hauteur oblique de 8 cm. Quelle est l'aire totale? (Utilise π ≈ 3,14)
• Choices: A) 75.36 cm² B) 150.72 cm² C) 100.48 cm² D) 200.96 cm²
• Hint: Try radius 3, slant 5. SA = π(3)(5) + π(3²) = 47.1 + 28.26 = 75.36 cm².
• Steps:
  • Lateral area: π × r × l = 3.14 × 4 × 8 = 100.48.
  • Base area: π × r² = 3.14 × 16 = 50.24.
  • Total: 100.48 + 50.24 = 150.72 cm².
• Answer: 150.72 cm²

[Hard] Circle Geometry — Chord and Radius

• EN: A chord is 8 cm long and is 3 cm from the centre of a circle. What is the radius of the circle?
• FR: Une corde mesure 8 cm et est à 3 cm du centre d'un cercle. Quel est le rayon du cercle?
• Choices: A) 4 cm B) 5 cm C) 6 cm D) 11 cm
• Hint: Try chord 6 cm, distance 4 cm. Half chord = 3. r² = 3² + 4² = 9 + 16 = 25. r = 5.
• Steps:
  • Half of chord = 4 cm.
  • r² = 4² + 3² = 16 + 9 = 25.
  • r = √25 = 5.
  • The radius is 5 cm.
• Answer: 5 cm

[Hard] Systems and Quadratics

• EN: Where do y = x² and y = x + 6 intersect? Find all x values.
• FR: Où se croisent y = x² et y = x + 6? Trouve toutes les valeurs de x.
• Choices: A) x = 2 and x = −3 B) x = 3 and x = −2 C) x = 6 and x = 1 D) x = −6 and x = 1
• Hint: Try y = x² and y = 2x + 3. Set equal: x² = 2x + 3. x² − 2x − 3 = 0. (x−3)(x+1) = 0.
• Steps:
  • Set equal: x² = x + 6.
  • Rearrange: x² − x − 6 = 0.
  • Factor: (x − 3)(x + 2) = 0.
  • x = 3 or x = −2.
• Answer: x = 3 and x = −2

[Easy] Exponential Function

• EN: An investment doubles every year. If you start with $500, how much is it worth after 2 years?
• FR: Un investissement double chaque année. Si tu commences avec 500 $, combien vaut-il après 2 ans?
• Choices: A) $1000 B) $1500 C) $2000 D) $2500
• Hint: Try $200 doubling for 2 years. After year 1: $400. After year 2: $800.
• Steps:
  • After year 1: $500 × 2 = $1000.
  • After year 2: $1000 × 2 = $2000.
  • The investment is worth $2000.
• Answer: $2000

[Easy] Arithmetic Sequence

• EN: An arithmetic sequence starts at 7 and has a common difference of 4. What is the 5th term?
• FR: Une suite arithmétique commence à 7 et a une raison de 4. Quel est le 5e terme?
• Choices: A) 20 B) 23 C) 24 D) 27
• Hint: Try start = 3, difference = 5. Terms: 3, 8, 13, 18, 23. The 5th term is 23.
• Steps:
  • Formula: a_n = a₁ + (n − 1)d.
  • a₅ = 7 + (5 − 1) × 4 = 7 + 16 = 23.
  • The 5th term is 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: Try log₂(16). Ask: 2 to what power equals 16? 2⁴ = 16, so log₂(16) = 4.
• Steps:
  • Ask: 2 to what power equals 8?
  • 2³ = 8.
  • So log₂(8) = 3.
• Answer: 3

[Easy] Quadratic Function Vertex

• EN: What is the vertex of the parabola y = (x − 3)² + 5?
• FR: Quel est le sommet de la parabole y = (x − 3)² + 5?
• Choices: A) (3, 5) B) (−3, 5) C) (5, 3) D) (3, −5)
• Hint: For y = (x − 2)² + 7, the vertex is (2, 7). The vertex form is (h, k).
• Steps:
  • The equation is in vertex form y = (x − h)² + k.
  • h = 3, k = 5.
  • The vertex is (3, 5).
• Answer: (3, 5)

[Medium] Compound Interest

• EN: Mia invests $1000 at an annual interest rate of 5%, compounded annually. How much will she have after 2 years?
• FR: Mia investit 1 000 $ à un taux annuel de 5 %, composé annuellement. Combien aura-t-elle après 2 ans?
• Choices: A) $1050 B) $1100 C) $1102.50 D) $1200
• Hint: Try $500 at 10% for 2 years. Year 1: $550. Year 2: $605.
• Steps:
  • Year 1: $1000 × 1.05 = $1050.
  • Year 2: $1050 × 1.05 = $1102.50.
  • Mia will have $1102.50.
• Answer: $1102.50

[Medium] Geometric Sequence

• EN: A geometric sequence starts at 3 and has a common ratio of 4. What is the 4th term?
• FR: Une suite géométrique commence à 3 et a un rapport commun de 4. Quel est le 4e terme?
• Choices: A) 48 B) 64 C) 128 D) 192
• Hint: Try start = 2, ratio = 3. Terms: 2, 6, 18, 54. The 4th term is 54.
• Steps:
  • a_n = a₁ × r^(n−1).
  • a₄ = 3 × 4³ = 3 × 64 = 192.
  • The 4th term is 192.
• Answer: 192

[Medium] Trigonometric Identity

• EN: Simplify: sin²θ + cos²θ
• FR: Simplifie : sin²θ + cos²θ
• Choices: A) 0 B) 1 C) 2 D) sin θ
• Hint: Think about a right triangle with hypotenuse 1. The identity always holds true regardless of the angle.
• Steps:
  • This is the Pythagorean identity.
  • sin²θ + cos²θ = 1 always.
  • The answer is 1.
• Answer: 1

[Medium] Annuity — Simple

• EN: Levi deposits $200 at the end of each year for 3 years at 4% annual interest. What is the total value at the end of 3 years? (Use simple accumulation: $200 + $208 + $216.32)
• FR: Levi dépose 200 $ à la fin de chaque année pendant 3 ans à un taux annuel de 4 %. Quelle est la valeur totale à la fin de 3 ans? (Utilise l'accumulation simple : 200 $ + 208 $ + 216,32 $)
• Choices: A) $600 B) $612 C) $624.32 D) $636
• Hint: Try $100 per year at 5% for 3 years. Third payment: $100. Second: $105. First: $110.25. Total ≈ $315.25.
• Steps:
  • Year 3 deposit: $200 (no interest yet).
  • Year 2 deposit: $200 × 1.04 = $208.
  • Year 1 deposit: $208 × 1.04 = $216.32.
  • Total: $200 + $208 + $216.32 = $624.32.
• Answer: $624.32

[Hard] Logarithm — Solving an Equation

• EN: Solve for x: 2^x = 32
• FR: Résous pour x : 2^x = 32
• Choices: A) x = 4 B) x = 5 C) x = 6 D) x = 16
• Hint: Try 3^x = 27. Ask: 3 to what power equals 27? 3³ = 27, so x = 3.
• Steps:
  • Ask: 2 to what power equals 32?
  • 2⁵ = 32.
  • So x = 5.
• Answer: x = 5

[Hard] Trigonometric Identity — Proving

• EN: Which expression is equivalent to tan θ?
• FR: Quelle expression est équivalente à tan θ?
• Choices: A) sin θ × cos θ B) sin θ ÷ cos θ C) cos θ ÷ sin θ D) 1 ÷ sin θ
• Hint: Think about a right triangle. tan = opposite/hypotenuse ÷ adjacent/hypotenuse = sin/cos.
• Steps:
  • By definition, sin θ = opposite/hypotenuse and cos θ = adjacent/hypotenuse.
  • tan θ = opposite/adjacent = (opposite/hypotenuse) ÷ (adjacent/hypotenuse).
  • tan θ = sin θ ÷ cos θ.
• Answer: sin θ ÷ cos θ

[Easy] Permutations

• EN: In how many ways can 4 students be arranged in a row?
• FR: De combien de façons peut-on disposer 4 élèves en rangée?
• Choices: A) 12 B) 16 C) 24 D) 48
• Hint: Try 3 students. 3! = 3 × 2 × 1 = 6 ways.
• Steps:
  • 4 students: 4! = 4 × 3 × 2 × 1.
  • = 24.
  • There are 24 ways.
• Answer: 24

[Easy] Combinations

• EN: How many ways can you choose 2 toppings from a list of 5?
• FR: De combien de façons peut-on choisir 2 garnitures parmi 5?
• Choices: A) 8 B) 10 C) 20 D) 25
• Hint: Try choosing 2 from 4. C(4,2) = (4 × 3) ÷ (2 × 1) = 6.
• Steps:
  • C(5, 2) = 5! ÷ (2! × 3!).
  • = (5 × 4) ÷ (2 × 1) = 20 ÷ 2 = 10.
  • There are 10 ways.
• Answer: 10

[Easy] Derivative — Power Rule

• EN: What is the derivative of f(x) = x³?
• FR: Quelle est la dérivée de f(x) = x³?
• Choices: A) x² B) 3x C) 3x² D) x⁴
• Hint: Try f(x) = x². Power rule: bring down the exponent and reduce it by 1. f'(x) = 2x.
• Steps:
  • Power rule: f'(x) = n × x^(n−1).
  • f'(x) = 3 × x^(3−1) = 3x².
• Answer: 3x²

[Easy] Rational Function — Domain

• EN: What value of x is NOT in the domain of f(x) = 1/(x − 4)?
• FR: Quelle valeur de x n'est PAS dans le domaine de f(x) = 1/(x − 4)?
• Choices: A) x = 0 B) x = 1 C) x = 4 D) x = −4
• Hint: Try f(x) = 1/(x − 3). The denominator is 0 when x = 3, so x = 3 is not in the domain.
• Steps:
  • Set the denominator equal to zero: x − 4 = 0.
  • x = 4.
  • So x = 4 is NOT in the domain.
• Answer: x = 4

[Medium] Probability Distribution

• EN: A fair die is rolled. What is the probability of rolling a number greater than 4?
• FR: On lance un dé équilibré. Quelle est la probabilité d'obtenir un nombre supérieur à 4?
• Choices: A) 1/6 B) 1/3 C) 1/2 D) 2/3
• Hint: Try probability of rolling a number greater than 3 on a 6-sided die. Numbers: 4, 5, 6 — that is 3 out of 6 = 1/2.
• Steps:
  • Numbers greater than 4 on a die: 5 and 6. That is 2 outcomes.
  • Total outcomes: 6.
  • Probability = 2/6 = 1/3.
• Answer: 1/3

[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). Quel est a + b?
• Choices: A) (2, 6) B) (4, 6) C) (2, 2) D) (4, 2)
• Hint: Try (5, 1) + (−2, 3). Add each component: (5 + (−2), 1 + 3) = (3, 4).
• Steps:
  • Add x-components: 3 + (−1) = 2.
  • Add y-components: 4 + 2 = 6.
  • a + b = (2, 6).
• Answer: (2, 6)

[Medium] Polynomial Long Division

• EN: Divide (x² + 5x + 6) ÷ (x + 2). What is the quotient?
• FR: Divise (x² + 5x + 6) ÷ (x + 2). Quel est le quotient?
• Choices: A) x + 2 B) x + 3 C) x + 4 D) x² + 3
• Hint: Try (x² + 7x + 12) ÷ (x + 3). Factor: (x+3)(x+4) ÷ (x+3) = x + 4.
• Steps:
  • Factor the numerator: x² + 5x + 6 = (x + 2)(x + 3).
  • Divide: (x + 2)(x + 3) ÷ (x + 2) = x + 3.
  • The quotient is x + 3.
• Answer: x + 3

[Medium] Rate of Change

• EN: The position of a car is given by s(t) = 4t² + 2t. What is the velocity (rate of change) at t = 3?
• FR: La position d'une voiture est donnée par s(t) = 4t² + 2t. Quelle est la vitesse (taux de variation) à t = 3?
• Choices: A) 14 B) 26 C) 38 D) 42
• Hint: Try s(t) = 2t² + 1. s'(t) = 4t. At t = 2: velocity = 4 × 2 = 8.
• Steps:
  • Find the derivative: s'(t) = 8t + 2.
  • At t = 3: s'(3) = 8(3) + 2 = 24 + 2 = 26.
  • The velocity at t = 3 is 26.
• Answer: 26

[Hard] Permutations with Restrictions

• EN: How many 4-digit codes can be formed using the digits 1–9 (no repeats) if the first digit must be odd (1, 3, 5, 7, or 9)?
• FR: Combien de codes à 4 chiffres peut-on former avec les chiffres 1 à 9 (sans répétition) si le premier chiffre doit être impair (1, 3, 5, 7 ou 9)?
• Choices: A) 1260 B) 1680 C) 2520 D) 3024
• Hint: Try first digit from {1, 3, 5} only (3 choices), then pick 3 more from remaining 8, 7, 6. 3 × 8 × 7 × 6 = 1008.
• Steps:
  • First digit: 5 choices (1, 3, 5, 7, 9).
  • Second digit: 8 remaining choices.
  • Third digit: 7 remaining choices.
  • Fourth digit: 6 remaining choices.
  • Total: 5 × 8 × 7 × 6 = 1680.
• Answer: 1680

[Hard] Derivative Application — Maximum

• EN: The height of a ball is given by h(t) = −5t² + 20t + 1. At what time t does the ball reach its maximum height?
• FR: La hauteur d'une balle est donnée par h(t) = −5t² + 20t + 1. À quel moment t la balle atteint-elle sa hauteur maximale?
• Choices: A) t = 1 B) t = 2 C) t = 3 D) t = 4
• Hint: Try h(t) = −2t² + 8t. h'(t) = −4t + 8. Set to 0: t = 2. That is the maximum.
• Steps:
  • Find the derivative: h'(t) = −10t + 20.
  • Set equal to zero: −10t + 20 = 0.
  • t = 2.
  • The ball reaches maximum height at t = 2.
• Answer: t = 2