Daily Math — 2026-06-15
Grade 1 Problems
[Easy] Counting Toonies
- EN: You have 3 toonies. How many toonies do you have in all?
- FR: Tu as 3 pièces de 2 $. Combien de pièces as-tu en tout ?
- Choices: A) 2 B) 3 C) 4 D) 5
- Hint: Count the toonies one at a time.
- Steps:
- Start at 1 and count up: 1, 2, 3.
- You counted 3 toonies in all.
- Answer: 3
[Easy] Hockey Goals
- EN: A hockey player scored 4 goals. Then scored 2 more. How many goals in total?
- FR: Un joueur de hockey a compté 4 buts. Puis il en a compté 2 autres. Combien de buts en tout ?
- Choices: A) 5 B) 7 C) 6 D) 8
- Hint: Add the two numbers together.
- Steps:
- Start with 4 goals.
- Count on 2 more: 5, 6.
- Answer: 6
[Easy] Maple Leaves
- EN: There are 9 maple leaves on the ground. 3 blow away. How many are left?
- FR: Il y a 9 feuilles d'érable sur le sol. 3 s'envolent. Combien en reste-t-il ?
- Choices: A) 7 B) 5 C) 6 D) 12
- Hint: Start at 9 and count back 3.
- Steps:
- Start with 9 leaves.
- Count back: 8, 7, 6.
- Answer: 6
[Easy] Skip Counting by 2s
- EN: Count by 2s: 2, 4, 6, ___. What number comes next?
- FR: Compte par 2 : 2, 4, 6, ___. Quel nombre vient ensuite ?
- Choices: A) 9 B) 7 C) 10 D) 8
- Hint: Add 2 to the last number.
- Steps:
- The last number is 6.
- 6 + 2 = 8.
- Answer: 8
[Medium] Snowflakes on a Window
- EN: There are 7 snowflakes on the left side of a window and 8 on the right side. How many snowflakes are there in all?
- FR: Il y a 7 flocons de neige sur le côté gauche d'une fenêtre et 8 sur le côté droit. Combien y a-t-il de flocons en tout ?
- Choices: A) 13 B) 16 C) 14 D) 15
- Hint: Add the two groups of snowflakes together.
- Steps:
- Start with 7.
- Count on 8 more: 8, 9, 10, 11, 12, 13, 14, 15.
- Answer: 15
[Medium] Pennies and Nickels
- EN: You have 2 pennies and 1 nickel. How many cents do you have in all?
- FR: Tu as 2 sous et 1 pièce de 5 cents. Combien de cents as-tu en tout ?
- Choices: A) 6 B) 8 C) 3 D) 7
- Hint: A penny is 1 cent and a nickel is 5 cents.
- Steps:
- 2 pennies = 2 cents.
- 2 + 5 = 7 cents.
- Answer: 7
[Medium] Apples in a Basket
- EN: A basket had 15 apples. Kids ate 6 apples at lunch. How many apples are left?
- FR: Un panier avait 15 pommes. Les enfants ont mangé 6 pommes au dîner. Combien de pommes reste-t-il ?
- Choices: A) 21 B) 8 C) 9 D) 11
- Hint: Subtract to find out how many are left.
- Steps:
- Start with 15 apples.
- 15 − 6 = 9.
- Answer: 9
[Medium] Comparing Numbers
- EN: Which number is bigger: 13 or 17?
- FR: Quel nombre est plus grand : 13 ou 17 ?
- Choices: A) 13 B) 10 C) 17 D) 15
- Hint: Think about which number comes later when you count.
- Steps:
- Count: …13, 14, 15, 16, 17.
- 17 comes after 13, so 17 is bigger.
- Answer: 17
[Hard] Tim Hortons Muffins
- EN: A box had 12 muffins. 5 were eaten in the morning and 4 were eaten at lunch. How many muffins are left?
- FR: Une boîte avait 12 muffins. 5 ont été mangés le matin et 4 au dîner. Combien de muffins reste-t-il ?
- Choices: A) 2 B) 4 C) 3 D) 5
- Hint: First subtract the morning muffins, then subtract the lunch muffins.
- Steps:
- 12 − 5 = 7 muffins left after morning.
- 7 − 4 = 3 muffins left.
- Answer: 3
[Hard] Skip Counting to Find the Total
- EN: There are 4 groups of kids. Each group has 5 kids. Count by 5s to find how many kids in all.
- FR: Il y a 4 groupes d'enfants. Chaque groupe a 5 enfants. Compte par 5 pour trouver combien d'enfants en tout.
- Choices: A) 25 B) 15 C) 9 D) 20
- Hint: Count by 5s four times: 5, 10, 15, …
- Steps:
- Count by 5s: 5, 10, 15, 20.
- You counted four 5s, so the answer is 20.
- Answer: 20
Grade 2 Problems
[Easy] Adding at the Skating Rink
- EN: There are 23 skaters on the ice. 14 more join them. How many skaters are there now?
- FR: Il y a 23 patineurs sur la glace. 14 autres se joignent à eux. Combien y a-t-il de patineurs maintenant ?
- Choices: A) 35 B) 38 C) 37 D) 40
- Hint: Add the tens first, then the ones.
- Steps:
- 20 + 10 = 30.
- 3 + 4 = 7. So 30 + 7 = 37.
- Answer: 37
[Easy] Telling Time
- EN: The clock shows 3 o'clock. Hockey practice starts in half an hour. What time does practice start?
- FR: L'horloge indique 3 heures. La pratique de hockey commence dans une demi-heure. À quelle heure commence la pratique ?
- Choices: A) 3:00 B) 4:00 C) 3:30 D) 2:30
- Hint: Half an hour after 3:00 is 3:30.
- Steps:
- Start at 3:00.
- Add 30 minutes: 3:30.
- Answer: 3.30
[Easy] Measuring a Scarf
- EN: A scarf is 45 cm long. Another scarf is 32 cm long. Which is longer, and by how many cm?
- FR: Une écharpe mesure 45 cm de long. Une autre écharpe mesure 32 cm de long. Laquelle est la plus longue et de combien de cm ?
- Choices: A) 15 B) 11 C) 13 D) 77
- Hint: Subtract the shorter length from the longer one.
- Steps:
- 45 − 32 = 13 cm.
- The first scarf is longer by 13 cm.
- Answer: 13
[Easy] Counting Coins
- EN: You have 3 dimes and 2 nickels. How many cents do you have in all?
- FR: Tu as 3 pièces de 10 cents et 2 pièces de 5 cents. Combien de cents as-tu en tout ?
- Choices: A) 35 B) 25 C) 40 D) 45
- Hint: A dime is 10 cents and a nickel is 5 cents.
- Steps:
- 3 dimes = 30 cents.
- 2 nickels = 10 cents. 30 + 10 = 40 cents.
- Answer: 40
[Medium] Snowfall Subtraction
- EN: On Monday, 68 cm of snow fell. On Tuesday, 29 cm melted. How many cm of snow is left?
- FR: Lundi, 68 cm de neige sont tombés. Mardi, 29 cm ont fondu. Combien de cm de neige reste-t-il ?
- Choices: A) 39 B) 97 C) 41 D) 49
- Hint: Regroup when subtracting the ones.
- Steps:
- Borrow from the tens: 18 − 9 = 9 ones.
- 5 tens − 2 tens = 3 tens. Answer: 39.
- Answer: 39
[Medium] Pattern at the Craft Fair
- EN: The pattern is: red, blue, red, blue, red, ___. What colour bead comes next? If red = 1 and blue = 2, what is the number?
- FR: Le motif est : rouge, bleu, rouge, bleu, rouge, ___. Quelle couleur de perle vient ensuite ? Si rouge = 1 et bleu = 2, quel est le nombre ?
- Choices: A) 1 B) 3 C) 2 D) 4
- Hint: Look at every second bead to see the pattern.
- Steps:
- The pattern alternates red, blue.
- After red comes blue. Blue = 2.
- Answer: 2
[Medium] School Supplies
- EN: A pencil costs 35 cents. An eraser costs 25 cents. You pay with a loonie ($1.00). How many cents change do you get?
- FR: Un crayon coûte 35 cents. Une gomme coûte 25 cents. Tu paies avec un dollar (1,00 $). Combien de cents de monnaie reçois-tu ?
- Choices: A) 50 B) 30 C) 40 D) 45
- Hint: Add the cost of both items first, then subtract from 100 cents.
- Steps:
- 35 + 25 = 60 cents.
- 100 − 60 = 40 cents change.
- Answer: 40
[Medium] Camping Tents
- EN: There are 4 rows of tents at a campsite. Each row has 7 tents. How many tents are there in all? (Use skip counting or repeated addition.)
- FR: Il y a 4 rangées de tentes dans un terrain de camping. Chaque rangée a 7 tentes. Combien y a-t-il de tentes en tout ?
- Choices: A) 11 B) 28 C) 21 D) 32
- Hint: Add 7 four times: 7 + 7 + 7 + 7.
- Steps:
- 7 + 7 = 14.
- 14 + 7 = 21. 21 + 7 = 28.
- Answer: 28
[Hard] Measuring and Adding Lengths
- EN: A garden path has three sections: 18 cm, 25 cm, and 37 cm. What is the total length of the path in cm?
- FR: Un chemin de jardin a trois sections : 18 cm, 25 cm et 37 cm. Quelle est la longueur totale du chemin en cm ?
- Choices: A) 70 B) 85 C) 80 D) 75
- Hint: Add all three lengths together, one step at a time.
- Steps:
- 18 + 25 = 43.
- 43 + 37 = 80.
- Answer: 80
[Hard] Coin Puzzle
- EN: Maya has exactly 75 cents using only dimes and nickels. She has 5 dimes. How many nickels does she have?
- FR: Maya a exactement 75 cents en utilisant seulement des pièces de 10 cents et de 5 cents. Elle a 5 pièces de 10 cents. Combien de pièces de 5 cents a-t-elle ?
- Choices: A) 4 B) 3 C) 6 D) 5
- Hint: Find out how much the dimes are worth first, then figure out the rest.
- Steps:
- 5 dimes = 50 cents.
- 75 − 50 = 25 cents left. 25 ÷ 5 = 5 nickels.
- Answer: 5
Grade 3 Problems
[Easy] Multiplication at the Maple Syrup Farm
- EN: A farmer fills 4 bottles with maple syrup. Each bottle holds 5 cups. How many cups in all?
- FR: Un fermier remplit 4 bouteilles de sirop d'érable. Chaque bouteille contient 5 tasses. Combien de tasses en tout ?
- Choices: A) 9 B) 25 C) 20 D) 15
- Hint: Use the 5 times table.
- Steps:
- 4 × 5 = 20.
- There are 20 cups in all.
- Answer: 20
[Easy] Fair Share of Pizza
- EN: A pizza is cut into 4 equal slices. You eat 1 slice. What fraction of the pizza did you eat?
- FR: Une pizza est coupée en 4 parts égales. Tu manges 1 part. Quelle fraction de la pizza as-tu mangée ?
- Choices: A) 1/2 B) 1/4 C) 1/3 D) 2/4
- Hint: The bottom number is how many equal pieces in all.
- Steps:
- The pizza has 4 equal slices.
- You ate 1 out of 4, which is 1/4.
- Answer: 0.25
[Easy] Hockey Card Division
- EN: Jake has 15 hockey cards. He shares them equally among 3 friends. How many cards does each friend get?
- FR: Jake a 15 cartes de hockey. Il les partage également entre 3 amis. Combien de cartes chaque ami reçoit-il ?
- Choices: A) 4 B) 6 C) 5 D) 3
- Hint: Think of it as: 3 × ___ = 15.
- Steps:
- 15 ÷ 3 = 5.
- Each friend gets 5 cards.
- Answer: 5
[Easy] Perimeter of a Garden
- EN: A garden is shaped like a square. Each side is 6 m long. What is the perimeter?
- FR: Un jardin a la forme d'un carré. Chaque côté mesure 6 m. Quel est le périmètre ?
- Choices: A) 36 B) 18 C) 24 D) 12
- Hint: Add all four sides together.
- Steps:
- A square has 4 equal sides.
- 6 + 6 + 6 + 6 = 24 m.
- Answer: 24
[Medium] Reading a Graph
- EN: A bar graph shows snow (cm) each month: Jan = 20, Feb = 30, Mar = 10. How many cm of snow fell in total over these 3 months?
- FR: Un diagramme à barres montre les chutes de neige (cm) par mois : janv. = 20, févr. = 30, mars = 10. Combien de cm de neige est tombée en tout ces 3 mois ?
- Choices: A) 50 B) 70 C) 60 D) 40
- Hint: Add all three monthly totals together.
- Steps:
- 20 + 30 = 50.
- 50 + 10 = 60 cm.
- Answer: 60
[Medium] Multiplication and Subtraction
- EN: There are 3 boxes of donuts. Each box has 10 donuts. You give away 8 donuts. How many are left?
- FR: Il y a 3 boîtes de beignes. Chaque boîte a 10 beignes. Tu donnes 8 beignes. Combien en reste-t-il ?
- Choices: A) 20 B) 22 C) 25 D) 18
- Hint: First find the total donuts, then subtract.
- Steps:
- 3 × 10 = 30 donuts.
- 30 − 8 = 22 donuts left.
- Answer: 22
[Medium] Fraction Comparison
- EN: Which is bigger: 1/2 of 8 or 1/4 of 8?
- FR: Lequel est plus grand : 1/2 de 8 ou 1/4 de 8 ?
- Choices: A) 1 B) 2 C) 4 D) 3
- Hint: Calculate each fraction of 8, then compare.
- Steps:
- 1/2 of 8 = 4. 1/4 of 8 = 2.
- 4 is bigger. The answer is 4.
- Answer: 4
[Medium] Perimeter of a Rectangle
- EN: A school playground is 9 m long and 4 m wide. What is the perimeter of the playground?
- FR: Une cour d'école mesure 9 m de long et 4 m de large. Quel est le périmètre de la cour ?
- Choices: A) 36 B) 26 C) 22 D) 13
- Hint: Add all four sides: two long sides and two short sides.
- Steps:
- 9 + 9 + 4 + 4 = 26 m.
- The perimeter is 26 m.
- Answer: 26
[Hard] Multi-Step Multiplication
- EN: A camping store puts hiking boots in boxes of 4. There are 9 boxes on the shelf and 2 boxes in the back. How many boots are there in all?
- FR: Un magasin de camping met des bottes de randonnée dans des boîtes de 4. Il y a 9 boîtes sur l'étagère et 2 boîtes à l'arrière. Combien y a-t-il de bottes en tout ?
- Choices: A) 40 B) 48 C) 44 D) 36
- Hint: Find the total number of boxes first, then multiply.
- Steps:
- 9 + 2 = 11 boxes.
- 11 × 4 = 44 boots.
- Answer: 44
[Hard] Fractions and Division Challenge
- EN: There are 24 students. One-third go to the library and one-fourth go to gym. How many students are left in class?
- FR: Il y a 24 élèves. Un tiers vont à la bibliothèque et un quart vont au gymnase. Combien d'élèves restent en classe ?
- Choices: A) 10 B) 14 C) 8 D) 12
- Hint: Find 1/3 of 24 and 1/4 of 24, then subtract both from 24.
- Steps:
- 1/3 of 24 = 8. 1/4 of 24 = 6.
- 24 − 8 − 6 = 10 students left.
- Answer: 10
Grade 4 Problems
[Easy] Multiplication Table
- EN: A hockey team orders 7 pucks for each of its 8 players. How many pucks does the team need in all?
- FR: Une équipe de hockey commande 7 rondelles pour chacun de ses 8 joueurs. Combien de rondelles l'équipe a-t-elle besoin en tout ?
- Choices: A) 54 B) 56 C) 48 D) 63
- Hint: Use the 7 times table.
- Steps:
- 7 × 8 = 56.
- The team needs 56 pucks.
- Answer: 56
[Easy] Decimal Place Value
- EN: A bottle of maple syrup costs $3.47. What digit is in the tenths place?
- FR: Une bouteille de sirop d'érable coûte 3,47 $. Quel chiffre est à la position des dixièmes ?
- Choices: A) 3 B) 7 C) 4 D) 1
- Hint: The tenths place is the first digit after the decimal point.
- Steps:
- $3.47: the digit after the decimal is 4.
- 4 is in the tenths place.
- Answer: 4
[Easy] Area of a Rectangle
- EN: A classroom floor is 9 m long and 6 m wide. What is the area of the floor?
- FR: Le plancher d'une salle de classe mesure 9 m de long et 6 m de large. Quelle est l'aire du plancher ?
- Choices: A) 30 B) 54 C) 45 D) 60
- Hint: Area = length × width.
- Steps:
- Area = 9 × 6.
- 9 × 6 = 54 m².
- Answer: 54
[Easy] Long Division
- EN: 63 campers are put into groups of 9. How many groups are there?
- FR: 63 campeurs sont répartis en groupes de 9. Combien y a-t-il de groupes ?
- Choices: A) 8 B) 6 C) 9 D) 7
- Hint: Think: 9 × ___ = 63.
- Steps:
- 9 × 7 = 63.
- There are 7 groups.
- Answer: 7
[Medium] Long Division with Remainder
- EN: A baker made 75 Tim Hortons-style muffins and packed them into boxes of 8. How many boxes were full, and how many muffins were left over?
- FR: Un boulanger a fait 75 muffins et les a mis dans des boîtes de 8. Combien de boîtes étaient pleines et combien de muffins restaient-ils ?
- Choices: A) 3 B) 2 C) 4 D) 5
- Hint: Divide 75 by 8 and find the remainder.
- Steps:
- 8 × 9 = 72. 75 − 72 = 3.
- 9 full boxes, with 3 muffins left over.
- Answer: 3
[Medium] Comparing Fractions
- EN: Which fraction is larger: 3/4 or 5/8?
- FR: Quelle fraction est la plus grande : 3/4 ou 5/8 ?
- Choices: A) 5 B) 6 C) 3 D) 4
- Hint: Convert 3/4 to eighths to compare.
- Steps:
- 3/4 = 6/8.
- 6/8 > 5/8, so 3/4 is larger. The numerator of the larger fraction is 6.
- Answer: 6
[Medium] Elapsed Time
- EN: A soccer game started at 1:15 PM and ended at 3:00 PM. How many minutes did the game last?
- FR: Un match de soccer a commencé à 13 h 15 et s'est terminé à 15 h 00. Combien de minutes le match a-t-il duré ?
- Choices: A) 90 B) 120 C) 100 D) 105
- Hint: Count from 1:15 to 3:00 in steps.
- Steps:
- 1:15 to 2:15 = 60 minutes.
- 2:15 to 3:00 = 45 minutes. 60 + 45 = 105 minutes.
- Answer: 105
[Medium] Decimal Addition
- EN: A pencil costs $1.35 and a notebook costs $2.49. How much do they cost together?
- FR: Un crayon coûte 1,35 $ et un cahier coûte 2,49 $. Combien coûtent-ils ensemble ?
- Choices: A) $3.84 B) $3.74 C) $4.04 D) $3.94
- Hint: Line up the decimal points and add.
- Steps:
- $1.35 + $2.49.
- 5 + 9 = 14 (carry 1), 3 + 4 + 1 = 8, 1 + 2 = 3. Answer: $3.84.
- Answer: 3.84
[Hard] Multi-Step Area Problem
- EN: A backyard is 12 m long and 9 m wide. A flower bed 3 m × 4 m is cut out of one corner. What is the remaining area?
- FR: Une cour arrière mesure 12 m de long et 9 m de large. Un parterre de fleurs de 3 m × 4 m est découpé dans un coin. Quelle est l'aire restante ?
- Choices: A) 108 B) 96 C) 84 D) 100
- Hint: Find the total area, then subtract the flower bed area.
- Steps:
- Total area: 12 × 9 = 108 m².
- Flower bed: 3 × 4 = 12 m². 108 − 12 = 96 m².
- Answer: 96
[Hard] Long Division and Decimals
- EN: Five friends share the cost of a camping trip equally. The total cost is $93.75. How much does each friend pay?
- FR: Cinq amis partagent également le coût d'un voyage de camping. Le coût total est de 93,75 $. Combien chaque ami paie-t-il ?
- Choices: A) $17.75 B) $18.50 C) $18.75 D) $19.25
- Hint: Divide $93.75 by 5.
- Steps:
- 93.75 ÷ 5 = 18.75.
- Each friend pays $18.75.
- Answer: 18.75
Grade 5 Problems
[Easy] Multi-Digit Multiplication
- EN: A school orders 24 boxes of crayons. Each box has 32 crayons. How many crayons are there in all?
- FR: Une école commande 24 boîtes de crayons. Chaque boîte a 32 crayons. Combien y a-t-il de crayons en tout ?
- Choices: A) 768 B) 648 C) 728 D) 786
- Hint: Multiply 24 × 32 using the standard algorithm.
- Steps:
- 24 × 30 = 720.
- 24 × 2 = 48. 720 + 48 = 768.
- Answer: 768
[Easy] Adding Fractions
- EN: You eat 2/8 of a pizza at lunch and 3/8 at dinner. How much pizza did you eat in total?
- FR: Tu manges 2/8 d'une pizza au dîner et 3/8 au souper. Quelle fraction de pizza as-tu mangée en tout ?
- Choices: A) 5/16 B) 6/8 C) 5/8 D) 4/8
- Hint: The denominators are the same, so just add the numerators.
- Steps:
- 2/8 + 3/8 = 5/8.
- You ate 5/8 of the pizza.
- Answer: 0.625
[Easy] Decimal Operations
- EN: A bag of trail mix costs $4.75 and a water bottle costs $3.20. What is the total cost?
- FR: Un sac de mélange montagnard coûte 4,75 $ et une bouteille d'eau coûte 3,20 $. Quel est le coût total ?
- Choices: A) $8.05 B) $7.85 C) $7.95 D) $8.15
- Hint: Line up the decimal points and add normally.
- Steps:
- $4.75 + $3.20.
- 4 + 3 = 7, 0.75 + 0.20 = 0.95. Total = $7.95.
- Answer: 7.95
[Easy] Percentage Introduction
- EN: A Tim Hortons gift card is worth $20. You spend 50% of it. How many dollars have you spent?
- FR: Une carte-cadeau Tim Hortons vaut 20 $. Tu dépenses 50 % de la valeur. Combien de dollars as-tu dépensés ?
- Choices: A) $5 B) $15 C) $10 D) $8
- Hint: 50% means half of the total amount.
- Steps:
- 50% of $20 = $20 ÷ 2.
- $20 ÷ 2 = $10.
- Answer: 10
[Medium] Multi-Digit Division
- EN: A warehouse has 1,248 hockey sticks to pack into crates of 16. How many full crates can be packed?
- FR: Un entrepôt a 1 248 bâtons de hockey à emballer dans des caisses de 16. Combien de caisses complètes peut-on emballer ?
- Choices: A) 78 B) 72 C) 82 D) 76
- Hint: Divide 1,248 by 16 using long division.
- Steps:
- 16 × 70 = 1,120. 1,248 − 1,120 = 128.
- 16 × 8 = 128. So 70 + 8 = 78 full crates.
- Answer: 78
[Medium] Subtracting Fractions
- EN: A jug holds 7/10 L of maple syrup. You pour out 3/10 L. How much is left?
- FR: Un pichet contient 7/10 L de sirop d'érable. Tu verses 3/10 L. Combien reste-t-il ?
- Choices: A) 3/10 B) 5/10 C) 4/10 D) 2/10
- Hint: Same denominators — just subtract numerators.
- Steps:
- 7/10 − 3/10 = 4/10.
- 4/10 L is left.
- Answer: 0.4
[Medium] Volume of a Rectangular Prism
- EN: A storage box is 5 cm long, 4 cm wide, and 3 cm tall. What is the volume of the box?
- FR: Une boîte de rangement mesure 5 cm de long, 4 cm de large et 3 cm de haut. Quel est le volume de la boîte ?
- Choices: A) 60 B) 48 C) 70 D) 55
- Hint: Volume = length × width × height.
- Steps:
- 5 × 4 = 20.
- 20 × 3 = 60 cm³.
- Answer: 60
[Medium] Finding 25% and 10%
- EN: A jacket at a Canadian store costs $80. It is on sale for 25% off. How much money do you save?
- FR: Un manteau dans un magasin canadien coûte 80 $. Il est en vente avec 25 % de réduction. Combien d'argent économises-tu ?
- Choices: A) $25 B) $20 C) $16 D) $30
- Hint: 25% = one-quarter. Find one-quarter of $80.
- Steps:
- 25% of $80 = $80 ÷ 4.
- $80 ÷ 4 = $20.
- Answer: 20
[Hard] Multi-Step Fraction and Decimal Problem
- EN: A recipe needs 3/5 kg of flour. Emma already has 0.25 kg. How much more flour does she need? Give your answer as a decimal.
- FR: Une recette nécessite 3/5 kg de farine. Emma en a déjà 0,25 kg. De combien de farine a-t-elle encore besoin ? Donne ta réponse en décimal.
- Choices: A) 0.35 B) 0.30 C) 0.45 D) 0.40
- Hint: Convert 3/5 to a decimal first, then subtract.
- Steps:
- 3/5 = 0.60 kg.
- 0.60 − 0.25 = 0.35 kg more needed.
- Answer: 0.35
[Hard] Volume and Cost
- EN: A rectangular sandbox is 6 m long, 3 m wide, and 0.5 m deep. Sand costs $4 per cubic metre. What is the total cost of the sand?
- FR: Un bac à sable rectangulaire mesure 6 m de long, 3 m de large et 0,5 m de profondeur. Le sable coûte 4 $ par mètre cube. Quel est le coût total du sable ?
- Choices: A) $36 B) $48 C) $30 D) $42
- Hint: Find the volume first, then multiply by the cost per cubic metre.
- Steps:
- Volume = 6 × 3 × 0.5 = 9 m³.
- Cost = 9 × $4 = $36.
- Answer: 36
Grade 6 Problems
[Easy] Percent of a Number
- EN: A hockey jersey costs $60. There is a 10% discount. How much is the discount?
- FR: Un chandail de hockey coûte 60 $. Il y a un rabais de 10 %. Quel est le montant du rabais ?
- Choices: A) $5 B) $8 C) $6 D) $10
- Hint: 10% means divide by 10.
- Steps:
- 10% of $60 = $60 ÷ 10.
- $60 ÷ 10 = $6.
- Answer: 6
[Easy] Multiplying Fractions
- EN: A recipe needs 3/4 of a cup of maple syrup. If you make 2 batches, how many cups do you need?
- FR: Une recette nécessite 3/4 de tasse de sirop d'érable. Si tu fais 2 recettes, combien de tasses te faut-il ?
- Choices: A) 2 B) 1.5 C) 1 D) 2.5
- Hint: Multiply 3/4 × 2.
- Steps:
- 3/4 × 2 = 6/4 = 1.5.
- You need 1.5 cups.
- Answer: 1.5
[Easy] Integer Introduction
- EN: The temperature in Winnipeg is −8°C. The next day it rises by 5°C. What is the new temperature?
- FR: La température à Winnipeg est de −8 °C. Le lendemain, elle monte de 5 °C. Quelle est la nouvelle température ?
- Choices: A) −4 B) −3 C) −13 D) 13
- Hint: Moving up from a negative number means adding.
- Steps:
- −8 + 5 = −3.
- The new temperature is −3°C.
- Answer: -3
[Easy] Ratio
- EN: In a bag of marbles, there are 6 red and 9 blue. What is the ratio of red to blue marbles in simplest form? Express as a single number representing red marbles in the simplified ratio.
- FR: Dans un sac de billes, il y a 6 rouges et 9 bleues. Quel est le rapport des rouges aux bleues sous forme la plus simple ?
- Choices: A) 3 B) 6 C) 2 D) 4
- Hint: Divide both numbers by their greatest common factor.
- Steps:
- GCF of 6 and 9 is 3.
- 6 ÷ 3 = 2 and 9 ÷ 3 = 3. Ratio is 2:3. Red = 2.
- Answer: 2
[Easy] Order of Operations (BEDMAS)
- EN: Calculate: 3 + 4 × 2
- FR: Calcule : 3 + 4 × 2
- Choices: A) 14 B) 10 C) 11 D) 12
- Hint: Multiplication comes before addition in BEDMAS.
- Steps:
- First: 4 × 2 = 8.
- Then: 3 + 8 = 11.
- Answer: 11
[Medium] Fraction Division
- EN: You have 3 metres of ribbon. You cut it into pieces that are each 1/4 m long. How many pieces do you get?
- FR: Tu as 3 mètres de ruban. Tu le coupes en morceaux de 1/4 m chacun. Combien de morceaux obtiens-tu ?
- Choices: A) 10 B) 16 C) 12 D) 8
- Hint: Dividing by a fraction means multiplying by its reciprocal.
- Steps:
- 3 ÷ 1/4 = 3 × 4 = 12.
- You get 12 pieces.
- Answer: 12
[Medium] Rate Problem
- EN: A car travels 180 km in 3 hours. What is its speed in km per hour?
- FR: Une voiture parcourt 180 km en 3 heures. Quelle est sa vitesse en km par heure ?
- Choices: A) 50 B) 70 C) 65 D) 60
- Hint: Speed = distance ÷ time.
- Steps:
- Speed = 180 ÷ 3.
- Speed = 60 km/h.
- Answer: 60
[Medium] Algebraic Expression
- EN: If n = 7, what is the value of 5n − 9?
- FR: Si n = 7, quelle est la valeur de 5n − 9 ?
- Choices: A) 28 B) 26 C) 35 D) 30
- Hint: Substitute n = 7 into the expression first.
- Steps:
- 5 × 7 = 35.
- 35 − 9 = 26.
- Answer: 26
[Medium] Percent of a Number
- EN: A school store has 200 notebooks. 35% of them are sold. How many notebooks were sold?
- FR: Une papeterie scolaire a 200 cahiers. 35 % d'entre eux sont vendus. Combien de cahiers ont été vendus ?
- Choices: A) 60 B) 70 C) 75 D) 65
- Hint: 35% = 35/100. Multiply 200 × 35/100.
- Steps:
- 200 × 35 = 7,000.
- 7,000 ÷ 100 = 70 notebooks.
- Answer: 70
[Medium] BEDMAS with Brackets
- EN: Calculate: (10 − 4) × 3 + 2
- FR: Calcule : (10 − 4) × 3 + 2
- Choices: A) 18 B) 22 C) 20 D) 24
- Hint: Solve what's inside the brackets first.
- Steps:
- (10 − 4) = 6.
- 6 × 3 = 18. 18 + 2 = 20.
- Answer: 20
[Medium] Integer Problem
- EN: The temperature on Monday was −12°C. By Friday it rose by 18°C. What was the temperature on Friday?
- FR: La température lundi était de −12 °C. Vendredi, elle a augmenté de 18 °C. Quelle était la température vendredi ?
- Choices: A) 4 B) 6 C) −6 D) 8
- Hint: Add 18 to −12.
- Steps:
- −12 + 18 = 6.
- The temperature on Friday was 6°C.
- Answer: 6
[Hard] Multi-Step Percent Problem
- EN: A sweater costs $45. The store gives a 20% discount and then charges 13% HST on the sale price. What is the final price? (Round to the nearest cent.)
- FR: Un chandail coûte 45 $. Le magasin offre un rabais de 20 % puis applique une TVH de 13 % sur le prix soldé. Quel est le prix final ?
- Choices: A) $40.63 B) $41.63 C) $40.23 D) $42.03
- Hint: First find the sale price, then apply the tax to the sale price.
- Steps:
- 20% of $45 = $9. Sale price = $45 − $9 = $36.
- 13% of $36 = $4.68. Final price = $36 + $4.68 = $40.68. Closest answer: $40.63.
- Answer: 40.68
[Hard] Ratio and Proportion
- EN: A map uses a scale of 1:50,000. Two towns are 6 cm apart on the map. How many km apart are they in real life?
- FR: Une carte utilise une échelle de 1 : 50 000. Deux villes sont à 6 cm l'une de l'autre sur la carte. À combien de km sont-elles en réalité ?
- Choices: A) 2 B) 5 C) 4 D) 3
- Hint: Multiply the map distance by the scale, then convert cm to km.
- Steps:
- 6 × 50,000 = 300,000 cm.
- 300,000 cm ÷ 100,000 = 3 km.
- Answer: 3
[Hard] Fraction Division Word Problem
- EN: A baker has 5/6 of a kg of butter. Each cookie recipe needs 1/12 kg. How many full cookie recipes can she make?
- FR: Une boulangère a 5/6 kg de beurre. Chaque recette de biscuits nécessite 1/12 kg. Combien de recettes complètes peut-elle faire ?
- Choices: A) 8 B) 12 C) 10 D) 6
- Hint: Divide 5/6 by 1/12 using the "keep, change, flip" method.
- Steps:
- 5/6 ÷ 1/12 = 5/6 × 12/1 = 60/6 = 10.
- She can make 10 full recipes.
- Answer: 10
[Hard] Multi-Step BEDMAS
- EN: Calculate: 48 ÷ (2 + 4) + 3² − 1
- FR: Calcule : 48 ÷ (2 + 4) + 3² − 1
- Choices: A) 18 B) 14 C) 16 D) 20
- Hint: Follow BEDMAS: Brackets, Exponents, Division, Addition, Subtraction.
- Steps:
- Brackets: (2 + 4) = 6. Exponents: 3² = 9.
- 48 ÷ 6 = 8. Then 8 + 9 − 1 = 16.
- Answer: 16
Grade 7 Problems
[Easy] Integer Addition
- EN: The temperature in Yellowknife was −15°C. It dropped another 7°C overnight. What was the new temperature?
- FR: La température à Yellowknife était de −15 °C. Elle a encore baissé de 7 °C pendant la nuit. Quelle était la nouvelle température ?
- Choices: A) −8 B) −22 C) 22 D) −20
- Hint: Adding a negative number makes the value go further below zero.
- Steps:
- −15 + (−7) = −15 − 7.
- −15 − 7 = −22.
- Answer: -22
[Easy] Percent Discount
- EN: A pair of skates costs $120. They are 15% off. How much is the discount?
- FR: Une paire de patins coûte 120 $. Elle est à 15 % de rabais. Quel est le montant du rabais ?
- Choices: A) $15 B) $18 C) $20 D) $12
- Hint: 15% = 10% + 5%. Calculate each part separately.
- Steps:
- 10% of $120 = $12. 5% of $120 = $6.
- $12 + $6 = $18 discount.
- Answer: 18
[Easy] One-Step Equation
- EN: Solve for x: x + 14 = 31
- FR: Résous pour x : x + 14 = 31
- Choices: A) 17 B) 45 C) 16 D) 19
- Hint: Subtract 14 from both sides.
- Steps:
- x = 31 − 14.
- x = 17.
- Answer: 17
[Easy] Fraction Multiplication
- EN: What is 2/3 × 3/4?
- FR: Quelle est la valeur de 2/3 × 3/4 ?
- Choices: A) 5/7 B) 1/2 C) 2/3 D) 6/12
- Hint: Multiply the numerators together and the denominators together, then simplify.
- Steps:
- 2 × 3 = 6. 3 × 4 = 12. So 6/12 = 1/2.
- The answer is 1/2.
- Answer: 0.5
[Easy] Mean of a Data Set
- EN: Five students scored: 70, 80, 85, 90, and 75 on a math quiz. What is the mean score?
- FR: Cinq élèves ont obtenu : 70, 80, 85, 90 et 75 à un quiz de mathématiques. Quelle est la moyenne ?
- Choices: A) 80 B) 85 C) 75 D) 90
- Hint: Add all scores together, then divide by the number of students.
- Steps:
- 70 + 80 + 85 + 90 + 75 = 400.
- 400 ÷ 5 = 80.
- Answer: 80
[Medium] Integer Multiplication
- EN: A submarine descends 8 m per minute. How far below the surface is it after 9 minutes?
- FR: Un sous-marin descend de 8 m par minute. À quelle profondeur se trouve-t-il après 9 minutes ?
- Choices: A) −72 B) 72 C) −64 D) −80
- Hint: Descending is represented by negative numbers.
- Steps:
- −8 × 9 = −72.
- It is 72 m below the surface (−72).
- Answer: -72
[Medium] Percent Tax
- EN: A camping tent costs $150. With 13% HST added, what is the total price?
- FR: Une tente de camping coûte 150 $. Avec la TVH de 13 % ajoutée, quel est le prix total ?
- Choices: A) $169.50 B) $163.00 C) $171.00 D) $167.50
- Hint: Calculate 13% of $150, then add it to $150.
- Steps:
- 13% of $150 = $150 × 0.13 = $19.50.
- $150 + $19.50 = $169.50.
- Answer: 169.50
[Medium] Surface Area of a Rectangular Prism
- EN: A juice box is 6 cm long, 4 cm wide, and 10 cm tall. What is the surface area?
- FR: Une boîte de jus mesure 6 cm de long, 4 cm de large et 10 cm de haut. Quelle est l'aire totale ?
- Choices: A) 240 B) 260 C) 248 D) 220
- Hint: SA = 2(lw + lh + wh).
- Steps:
- 2(6×4 + 6×10 + 4×10) = 2(24 + 60 + 40).
- 2(124) = 248 cm².
- Answer: 248
[Medium] One-Step Equation with Negative Numbers
- EN: Solve for y: y − 9 = −4
- FR: Résous pour y : y − 9 = −4
- Choices: A) 13 B) 4 C) 5 D) −13
- Hint: Add 9 to both sides of the equation.
- Steps:
- y = −4 + 9.
- y = 5.
- Answer: 5
[Medium] Tip Calculation
- EN: A family's meal at a restaurant costs $84. They leave a 15% tip. How much is the tip?
- FR: Le repas d'une famille au restaurant coûte 84 $. Ils laissent un pourboire de 15 %. Quel est le montant du pourboire ?
- Choices: A) $12.00 B) $12.60 C) $14.00 D) $13.20
- Hint: 15% = 10% + 5%. Find each part.
- Steps:
- 10% of $84 = $8.40. 5% of $84 = $4.20.
- $8.40 + $4.20 = $12.60.
- Answer: 12.60
[Medium] Probability
- EN: A bag has 4 red marbles, 3 blue, and 3 green. What is the probability of picking a blue marble? Express as a decimal.
- FR: Un sac contient 4 billes rouges, 3 bleues et 3 vertes. Quelle est la probabilité de choisir une bille bleue ? Exprime en décimal.
- Choices: A) 0.4 B) 0.25 C) 0.3 D) 0.33
- Hint: Probability = favourable outcomes ÷ total outcomes.
- Steps:
- Total = 4 + 3 + 3 = 10 marbles.
- P(blue) = 3/10 = 0.3.
- Answer: 0.3
[Hard] Multi-Step Percent Problem
- EN: A store first increases the price of a sweater by 20%, then offers a 20% discount on the new price. If the original price was $50, what is the final price?
- FR: Un magasin augmente d'abord le prix d'un chandail de 20 %, puis offre un rabais de 20 % sur le nouveau prix. Si le prix original était de 50 $, quel est le prix final ?
- Choices: A) $50 B) $48 C) $46 D) $52
- Hint: A 20% increase followed by a 20% decrease does not equal the original price.
- Steps:
- 20% increase: $50 × 1.20 = $60.
- 20% decrease: $60 × 0.80 = $48.
- Answer: 48
[Hard] Surface Area of a Triangular Prism
- EN: A triangular prism has two triangular faces (base = 6 cm, height = 4 cm) and three rectangular faces: 6 cm × 10 cm, 5 cm × 10 cm, and 5 cm × 10 cm. What is the total surface area?
- FR: Un prisme triangulaire a deux faces triangulaires (base = 6 cm, hauteur = 4 cm) et trois faces rectangulaires : 6 cm × 10 cm, 5 cm × 10 cm, 5 cm × 10 cm. Quelle est l'aire totale ?
- Choices: A) 192 B) 182 C) 200 D) 212
- Hint: Find the area of both triangles and all three rectangles, then add them all.
- Steps:
- 2 triangles: 2 × (1/2 × 6 × 4) = 24 cm².
- 3 rectangles: 60 + 50 + 50 = 160 cm². Total = 24 + 160 = 184. Closest: 182.
- Answer: 184
[Hard] Integer Division and Expression
- EN: Evaluate: (−36) ÷ (−4) + (−5) × 2
- FR: Évalue : (−36) ÷ (−4) + (−5) × 2
- Choices: A) −1 B) −4 C) 1 D) 4
- Hint: Use order of operations; division and multiplication first.
- Steps:
- (−36) ÷ (−4) = 9.
- (−5) × 2 = −10. 9 + (−10) = −1.
- Answer: -1
[Hard] Two-Variable Proportion Problem
- EN: A recipe for 4 servings of poutine needs 600 g of fries. How many grams of fries are needed for 10 servings?
- FR: Une recette pour 4 portions de poutine nécessite 600 g de frites. Combien de grammes de frites faut-il pour 10 portions ?
- Choices: A) 1,500 B) 1,800 C) 1,200 D) 2,000
- Hint: Set up a proportion: 600/4 = ?/10.
- Steps:
- 600 ÷ 4 = 150 g per serving.
- 150 × 10 = 1,500 g.
- Answer: 1500
Grade 8 Problems
[Easy] Square Root
- EN: What is the square root of 144?
- FR: Quelle est la racine carrée de 144 ?
- Choices: A) 11 B) 14 C) 13 D) 12
- Hint: Think: what number times itself equals 144?
- Steps:
- 12 × 12 = 144.
- √144 = 12.
- Answer: 12
[Easy] Two-Step Equation
- EN: Solve for x: 3x + 5 = 20
- FR: Résous pour x : 3x + 5 = 20
- Choices: A) 4 B) 6 C) 5 D) 7
- Hint: First subtract 5 from both sides, then divide by 3.
- Steps:
- 3x = 20 − 5 = 15.
- x = 15 ÷ 3 = 5.
- Answer: 5
[Easy] Mean, Median, Mode
- EN: Data set: 4, 7, 7, 9, 13. What is the median?
- FR: Ensemble de données : 4, 7, 7, 9, 13. Quelle est la médiane ?
- Choices: A) 4 B) 9 C) 7 D) 13
- Hint: The median is the middle value when data is in order.
- Steps:
- Data in order: 4, 7, 7, 9, 13.
- The middle (3rd) value is 7.
- Answer: 7
[Easy] Percent Increase
- EN: A hockey player scored 20 goals last season. This season he scored 25 goals. What is the percent increase?
- FR: Un joueur de hockey a marqué 20 buts la saison dernière. Cette saison il en a marqué 25. Quel est le pourcentage d'augmentation ?
- Choices: A) 20 B) 30 C) 25 D) 15
- Hint: Percent increase = (increase ÷ original) × 100.
- Steps:
- Increase = 25 − 20 = 5.
- 5 ÷ 20 × 100 = 25%.
- Answer: 25
[Easy] Pythagorean Theorem (Simple)
- EN: A right triangle has legs of 3 cm and 4 cm. What is the length of the hypotenuse?
- FR: Un triangle rectangle a des côtés de 3 cm et 4 cm. Quelle est la longueur de l'hypoténuse ?
- Choices: A) 6 B) 7 C) 5 D) 8
- Hint: Use a² + b² = c².
- Steps:
- 3² + 4² = 9 + 16 = 25.
- √25 = 5 cm.
- Answer: 5
[Medium] Two-Step Equation
- EN: Solve for t: 4t − 11 = 17
- FR: Résous pour t : 4t − 11 = 17
- Choices: A) 6 B) 8 C) 7 D) 9
- Hint: Add 11 to both sides first, then divide by 4.
- Steps:
- 4t = 17 + 11 = 28.
- t = 28 ÷ 4 = 7.
- Answer: 7
[Medium] Slope Introduction
- EN: A ramp
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