Daily Math — 2026-06-18
Grade 1 Problems
[Easy] Counting Hockey Pucks
- EN: There are 7 hockey pucks on the ice. 3 more are added. How many pucks are there now?
- FR: Il y a 7 rondelles de hockey sur la glace. On en ajoute 3 de plus. Combien y a-t-il de rondelles maintenant?
- Choices: A) 9 B) 10 C) 11 D) 8
- Hint: Count on from 7 using your fingers.
- Steps:
- Start at 7.
- Count on 3 more: 8, 9, 10.
- Answer: 10
[Easy] Maple Leaf Counting
- EN: Emma picked 5 maple leaves on Monday and 6 on Tuesday. How many leaves did she pick in total?
- FR: Emma a ramassé 5 feuilles d'érable lundi et 6 mardi. Combien de feuilles a-t-elle ramassées au total?
- Choices: A) 10 B) 12 C) 11 D) 9
- Hint: Put the bigger number first and count on.
- Steps:
- Start at 6.
- Count on 5 more: 7, 8, 9, 10, 11.
- Answer: 11
[Easy] Penny Count
- EN: Liam has 4 pennies. He finds 3 more pennies. How many pennies does he have now?
- FR: Liam a 4 sous. Il en trouve 3 de plus. Combien de sous a-t-il maintenant?
- Choices: A) 6 B) 8 C) 7 D) 5
- Hint: Think of adding two small numbers together.
- Steps:
- Start at 4.
- Count on 3: 5, 6, 7.
- Answer: 7
[Easy] Skip Counting by 2s
- EN: Skip count by 2s. Fill in the missing number: 2, 4, 6, ___, 10.
- FR: Compte par bonds de 2. Quel est le nombre manquant: 2, 4, 6, ___, 10?
- Choices: A) 7 B) 9 C) 8 D) 11
- Hint: Each number goes up by 2.
- Steps:
- 6 + 2 = ?
- 6 + 2 = 8.
- Answer: 8
[Medium] Snowflake Subtraction
- EN: There are 15 snowflakes on the window. 8 melt away. How many snowflakes are left?
- FR: Il y a 15 flocons de neige sur la fenêtre. 8 fondent. Combien de flocons reste-t-il?
- Choices: A) 6 B) 8 C) 7 D) 9
- Hint: Start at 15 and count back 8.
- Steps:
- Start at 15.
- Count back 8: 14, 13, 12, 11, 10, 9, 8, 7.
- Answer: 7
[Medium] Tim Hortons Timbits
- EN: A box has 12 Timbits. Noah eats 5. How many Timbits are left?
- FR: Une boîte contient 12 Timbits. Noah en mange 5. Combien de Timbits reste-t-il?
- Choices: A) 8 B) 6 C) 7 D) 9
- Hint: Subtract 5 from 12.
- Steps:
- 12 − 5 = ?
- Count back 5 from 12: 11, 10, 9, 8, 7.
- Answer: 7
[Medium] Skip Counting by 5s
- EN: Count by 5s. What number comes after 15?
- FR: Compte par bonds de 5. Quel nombre vient après 15?
- Choices: A) 18 B) 25 C) 20 D) 16
- Hint: Add 5 to 15.
- Steps:
- 15 + 5 = ?
- 15 + 5 = 20.
- Answer: 20
[Medium] Comparing Numbers
- EN: Which number is bigger: 13 or 17?
- FR: Quel nombre est plus grand: 13 ou 17?
- Choices: A) 13 B) 15 C) 17 D) 14
- Hint: Think about which number you reach last when counting.
- Steps:
- Count: 13 … 14, 15, 16, 17.
- 17 comes after 13, so 17 is bigger.
- Answer: 17
[Hard] Camping Gear
- EN: Dad packed 9 things for camping. He forgot 4 at home and bought 6 more at the store. How many things does he have now?
- FR: Papa a emballé 9 choses pour le camping. Il en a oublié 4 à la maison et en a acheté 6 autres au magasin. Combien de choses a-t-il maintenant?
- Choices: A) 10 B) 12 C) 11 D) 13
- Hint: First subtract, then add.
- Steps:
- 9 − 4 = 5.
- 5 + 6 = 11.
- Answer: 11
[Hard] Nickel Skip Count
- EN: Maya has 4 nickels. Each nickel is worth 5 cents. How many cents does she have in total?
- FR: Maya a 4 pièces de 5 cents. Chaque pièce vaut 5 cents. Combien de cents a-t-elle au total?
- Choices: A) 15 B) 25 C) 20 D) 9
- Hint: Skip count by 5 four times.
- Steps:
- Count by 5s: 5, 10, 15, 20.
- After 4 nickels, you have 20 cents.
- Answer: 20
Grade 2 Problems
[Easy] Toonies and Dimes
- EN: Sofia has 3 dimes. How many cents does she have?
- FR: Sofia a 3 pièces de 10 cents. Combien de cents a-t-elle?
- Choices: A) 20 B) 40 C) 30 D) 13
- Hint: Each dime is worth 10 cents.
- Steps:
- 3 × 10 = 30 cents.
- Answer: 30
[Easy] Adding at the Market
- EN: There are 24 apples and 15 oranges at the farmer's market. How many pieces of fruit are there in total?
- FR: Il y a 24 pommes et 15 oranges au marché de ferme. Combien y a-t-il de fruits en tout?
- Choices: A) 38 B) 39 C) 40 D) 37
- Hint: Add the ones first, then the tens.
- Steps:
- Ones: 4 + 5 = 9.
- Tens: 20 + 10 = 30. Total: 39.
- Answer: 39
[Easy] Telling Time
- EN: The clock shows 3:00. What time is it?
- FR: L'horloge indique 3:00. Quelle heure est-il?
- Choices: A) 2 B) 4 C) 3 D) 5
- Hint: The hour hand points to 3.
- Steps:
- The hour hand is at 3, minute hand at 12.
- It is 3 o'clock.
- Answer: 3
[Easy] Snowfall Measurement
- EN: It snowed 12 cm on Friday and 8 cm on Saturday. How much snow fell in total?
- FR: Il a neigé 12 cm vendredi et 8 cm samedi. Combien de centimètres de neige est tombée au total?
- Choices: A) 18 B) 22 C) 20 D) 19
- Hint: Add the two amounts of snow together.
- Steps:
- 12 + 8 = 20.
- Answer: 20
[Medium] Subtraction at the Rink
- EN: There were 63 fans at the hockey rink. 28 fans went home early. How many fans stayed?
- FR: Il y avait 63 fans à la patinoire. 28 sont partis tôt. Combien de fans sont restés?
- Choices: A) 34 B) 36 C) 35 D) 33
- Hint: Subtract the ones first, then the tens.
- Steps:
- 63 − 28: borrow from tens; 13 − 8 = 5.
- 5 − 2 = 3. Answer: 35.
- Answer: 35
[Medium] Half-Hour Time
- EN: School starts at 8:30. It runs for 1 hour. What time does the first class end?
- FR: L'école commence à 8h30. Elle dure 1 heure. À quelle heure se termine le premier cours?
- Choices: A) 9 B) 10 C) 8 D) 930
- Hint: Add 1 hour to 8:30.
- Steps:
- 8:30 + 1 hour = 9:30.
- The hour part is 9.
- Answer: 9
[Medium] Pattern in Prices
- EN: Stickers cost 5 cents each. How many cents do 8 stickers cost?
- FR: Les autocollants coûtent 5 cents chacun. Combien coûtent 8 autocollants?
- Choices: A) 35 B) 45 C) 40 D) 42
- Hint: Skip count by 5 eight times.
- Steps:
- 5, 10, 15, 20, 25, 30, 35, 40.
- 8 stickers = 40 cents.
- Answer: 40
[Medium] Measuring Ribbon
- EN: A ribbon is 75 cm long. Priya cuts off 30 cm. How long is the ribbon now?
- FR: Un ruban mesure 75 cm. Priya en coupe 30 cm. Quelle est maintenant la longueur du ruban?
- Choices: A) 40 B) 50 C) 45 D) 55
- Hint: Subtract 30 from 75.
- Steps:
- 75 − 30 = 45.
- Answer: 45
[Hard] Coins to $1
- EN: James has 3 quarters and 2 dimes. How many cents does he have altogether?
- FR: James a 3 pièces de 25 cents et 2 pièces de 10 cents. Combien de cents a-t-il en tout?
- Choices: A) 90 B) 100 C) 95 D) 85
- Hint: First find the value of the quarters, then add the dimes.
- Steps:
- 3 quarters = 75 cents.
- 2 dimes = 20 cents. 75 + 20 = 95.
- Answer: 95
[Hard] Two-Step Subtraction
- EN: A shelf had 82 books. A class borrowed 35 books, then returned 12. How many books are on the shelf now?
- FR: Une étagère avait 82 livres. Une classe en a emprunté 35, puis en a retourné 12. Combien de livres y a-t-il sur l'étagère maintenant?
- Choices: A) 58 B) 59 C) 57 D) 60
- Hint: Subtract first, then add back.
- Steps:
- 82 − 35 = 47.
- 47 + 12 = 59.
- Answer: 59
Grade 3 Problems
[Easy] Multiplication by 5
- EN: Each player on a hockey team scores 5 goals. There are 4 players. How many goals in total?
- FR: Chaque joueur d'une équipe de hockey marque 5 buts. Il y a 4 joueurs. Combien de buts en tout?
- Choices: A) 18 B) 25 C) 20 D) 15
- Hint: Use the 5 times table.
- Steps:
- 4 × 5 = 20.
- Answer: 20
[Easy] Simple Fractions
- EN: A pizza is cut into 4 equal slices. Zoe eats 1 slice. What fraction of the pizza did she eat?
- FR: Une pizza est coupée en 4 parts égales. Zoe mange 1 part. Quelle fraction de la pizza a-t-elle mangée?
- Choices: A) 2 B) 3 C) 4 D) 1
- Hint: The bottom number tells how many equal pieces there are in total.
- Steps:
- 1 slice out of 4 total slices.
- The fraction is 1/4; the numerator is 1.
- Answer: 1
[Easy] Multiplication by 2
- EN: There are 6 pairs of mittens in the lost-and-found. How many mittens is that in total?
- FR: Il y a 6 paires de mitaines dans les objets trouvés. Combien de mitaines y a-t-il au total?
- Choices: A) 10 B) 14 C) 12 D) 8
- Hint: Pairs means groups of 2.
- Steps:
- 6 × 2 = 12.
- Answer: 12
[Easy] Perimeter of a Rectangle
- EN: A playground is 5 m long and 3 m wide. What is its perimeter?
- FR: Un terrain de jeu mesure 5 m de long et 3 m de large. Quel est son périmètre?
- Choices: A) 15 B) 16 C) 14 D) 18
- Hint: Add all four sides together.
- Steps:
- Perimeter = 5 + 3 + 5 + 3.
- = 16 m.
- Answer: 16
[Medium] Division with Sharing
- EN: 24 maple syrup candies are shared equally among 4 friends. How many does each friend get?
- FR: 24 bonbons au sirop d'érable sont partagés également entre 4 amis. Combien chaque ami en reçoit-il?
- Choices: A) 5 B) 8 C) 6 D) 7
- Hint: Think: 4 × ? = 24.
- Steps:
- 24 ÷ 4 = 6.
- Answer: 6
[Medium] Reading a Bar Graph
- EN: A bar graph shows 9 students like hockey, 6 like skating, and 5 like skiing. How many students were surveyed in total?
- FR: Un diagramme à barres montre que 9 élèves aiment le hockey, 6 aiment le patinage et 5 aiment le ski. Combien d'élèves ont été sondés en tout?
- Choices: A) 18 B) 21 C) 20 D) 19
- Hint: Add all three groups together.
- Steps:
- 9 + 6 = 15.
- 15 + 5 = 20.
- Answer: 20
[Medium] Multiplication by 3
- EN: Each Tim Hortons bag holds 3 muffins. If there are 7 bags, how many muffins are there?
- FR: Chaque sac Tim Hortons contient 3 muffins. S'il y a 7 sacs, combien y a-t-il de muffins?
- Choices: A) 24 B) 19 C) 21 D) 22
- Hint: Use the 3 times table.
- Steps:
- 7 × 3 = 21.
- Answer: 21
[Medium] Fraction Comparison
- EN: Which fraction is larger: 1/2 or 1/4?
- FR: Quelle fraction est plus grande: 1/2 ou 1/4?
- Choices: A) 1 B) 4 C) 2 D) 3
- Hint: Larger bottom number means smaller pieces.
- Steps:
- 1/2 means 1 piece out of 2; 1/4 means 1 piece out of 4.
- Halves are bigger pieces, so 1/2 is larger. Its denominator is 2.
- Answer: 2
[Hard] Two-Step Word Problem
- EN: A camp store had 48 water bottles. They sold 3 boxes of 10 bottles each, then received 15 new ones. How many are there now?
- FR: Une boutique de camp avait 48 bouteilles d'eau. Elle a vendu 3 boîtes de 10 bouteilles chacune, puis en a reçu 15 nouvelles. Combien y en a-t-il maintenant?
- Choices: A) 34 B) 33 C) 35 D) 32
- Hint: First find how many were sold, then subtract, then add.
- Steps:
- 3 × 10 = 30 sold.
- 48 − 30 = 18.
- 18 + 15 = 33.
- Answer: 33
[Hard] Perimeter with Multiplication
- EN: A square garden has one side that is 9 m long. What is its perimeter?
- FR: Un jardin carré a un côté de 9 m de long. Quel est son périmètre?
- Choices: A) 36 B) 27 C) 45 D) 18
- Hint: A square has 4 equal sides.
- Steps:
- Perimeter = 4 × 9.
- = 36 m.
- Answer: 36
Grade 4 Problems
[Easy] Multiplication Table
- EN: What is 7 × 8?
- FR: Combien fait 7 × 8?
- Choices: A) 54 B) 64 C) 56 D) 48
- Hint: Think of 7 groups of 8.
- Steps:
- 7 × 8 = 56.
- Answer: 56
[Easy] Decimal Place Value
- EN: In the number 3.47, what digit is in the tenths place?
- FR: Dans le nombre 3,47, quel chiffre est à la position des dixièmes?
- Choices: A) 3 B) 7 C) 4 D) 0
- Hint: Tenths is the first digit after the decimal point.
- Steps:
- 3.47: ones = 3, tenths = 4, hundredths = 7.
- The tenths digit is 4.
- Answer: 4
[Easy] Area of a Rectangle
- EN: A rectangular hockey card is 6 cm long and 4 cm wide. What is its area?
- FR: Une carte de hockey rectangulaire mesure 6 cm de long et 4 cm de large. Quelle est son aire?
- Choices: A) 20 B) 24 C) 22 D) 18
- Hint: Area = length × width.
- Steps:
- 6 × 4 = 24.
- Answer: 24
[Easy] Long Division No Remainder
- EN: 72 ÷ 8 = ?
- FR: 72 ÷ 8 = ?
- Choices: A) 7 B) 10 C) 9 D) 8
- Hint: Think: 8 × ? = 72.
- Steps:
- 8 × 9 = 72.
- So 72 ÷ 8 = 9.
- Answer: 9
[Medium] Long Division with Remainder
- EN: 53 campers are put into groups of 6. How many full groups are made, and how many campers are left over?
- FR: 53 campeurs sont répartis en groupes de 6. Combien de groupes complets y a-t-il, et combien de campeurs restent-ils?
- Choices: A) 7 B) 6 C) 5 D) 8
- Hint: Divide 53 by 6 and find the remainder.
- Steps:
- 6 × 8 = 48, 6 × 9 = 54 (too big).
- 53 − 48 = 5 leftover. So 8 groups, remainder 5.
- Answer: 5
[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 B) 1 C) 4 D) 3
- Hint: Find a common denominator or think about how close to 1 whole each is.
- Steps:
- 3/4 = 9/12; 2/3 = 8/12.
- 9/12 > 8/12, so 3/4 is greater. Its numerator is 3.
- Answer: 3
[Medium] Elapsed Time
- EN: A road trip starts at 9:15 AM and ends at 12:45 PM. How many minutes long is the trip?
- FR: Un voyage en voiture commence à 9h15 et se termine à 12h45. Combien de minutes dure le voyage?
- Choices: A) 190 B) 215 C) 200 D) 210
- Hint: Count the hours first, then the minutes.
- Steps:
- 9:15 to 12:15 = 3 hours = 180 minutes.
- 12:15 to 12:45 = 30 more minutes.
- 180 + 30 = 210 minutes.
- Answer: 210
[Medium] Decimal Addition
- EN: At the store, Sam buys school supplies for $3.45 and $2.30. What is the total cost?
- FR: Au magasin, Sam achète des fournitures scolaires pour 3,45 $ et 2,30 $. Quel est le coût total?
- Choices: A) 5.65 B) 5.75 C) 6.75 D) 5.85
- Hint: Line up the decimal points and add.
- Steps:
- $3.45 + $2.30.
- Cents: 45 + 30 = 75. Dollars: 3 + 2 = 5.
- Total: $5.75.
- Answer: 5.75
[Hard] Multi-Step Area Problem
- EN: A school field is 35 m long and 20 m wide. A sandbox inside it is 5 m long and 4 m wide. What is the area of the field not covered by the sandbox?
- FR: Un terrain d'école mesure 35 m de long et 20 m de large. Un carré de sable à l'intérieur mesure 5 m de long et 4 m de large. Quelle est l'aire du terrain non couverte par le carré de sable?
- Choices: A) 680 B) 700 C) 720 D) 660
- Hint: Find each area separately, then subtract.
- Steps:
- Field: 35 × 20 = 700 m².
- Sandbox: 5 × 4 = 20 m².
- 700 − 20 = 680 m².
- Answer: 680
[Hard] Long Division Challenge
- EN: A store receives 185 boxes of Tim Hortons cups and stacks them in piles of 9. How many piles are made, and how many boxes are left over?
- FR: Un magasin reçoit 185 boîtes de tasses Tim Hortons et les empile en piles de 9. Combien de piles y a-t-il, et combien de boîtes restent-elles?
- Choices: A) 3 B) 8 C) 5 D) 2
- Hint: Divide 185 by 9 and find the remainder.
- Steps:
- 9 × 20 = 180.
- 185 − 180 = 5 left over.
- 20 full piles, remainder 5.
- Answer: 5
Grade 5 Problems
[Easy] Multi-Digit Multiplication
- EN: A hockey arena sells 124 tickets every game. How many tickets are sold over 3 games?
- FR: Une aréna de hockey vend 124 billets à chaque match. Combien de billets sont vendus en 3 matchs?
- Choices: A) 362 B) 372 C) 382 D) 352
- Hint: Multiply 124 by 3.
- Steps:
- 124 × 3: 4×3=12, write 2 carry 1; 2×3=6+1=7; 1×3=3.
- Answer: 372.
- Answer: 372
[Easy] Adding Fractions
- EN: What is 2/8 + 3/8?
- FR: Combien fait 2/8 + 3/8?
- Choices: A) 4 B) 6 C) 5 D) 3
- Hint: The denominators are the same, so just add the numerators.
- Steps:
- 2 + 3 = 5. Denominator stays 8.
- Answer: 5/8. The numerator is 5.
- Answer: 5
[Easy] Finding 50% of a Number
- EN: A maple syrup jar costs $12. It is 50% off. How much do you save?
- FR: Un pot de sirop d'érable coûte 12 $. Il est à 50% de rabais. Combien économises-tu?
- Choices: A) 4 B) 8 C) 6 D) 5
- Hint: 50% means half.
- Steps:
- 50% of $12 = $12 ÷ 2 = $6.
- Answer: 6
[Easy] Decimal Subtraction
- EN: Olivia has $8.75. She spends $3.40 on a snack. How much does she have left?
- FR: Olivia a 8,75 $. Elle dépense 3,40 $ pour une collation. Combien lui reste-t-il?
- Choices: A) 5.25 B) 5.45 C) 5.35 D) 4.35
- Hint: Line up the decimals and subtract.
- Steps:
- 8.75 − 3.40.
- 75 − 40 = 35 cents; 8 − 3 = 5 dollars.
- Answer: $5.35.
- Answer: 5.35
[Medium] Volume of a Rectangular Prism
- EN: A camping cooler is 8 cm long, 5 cm wide, and 4 cm tall. What is its volume?
- FR: Une glacière de camping mesure 8 cm de long, 5 cm de large et 4 cm de hauteur. Quel est son volume?
- Choices: A) 150 B) 170 C) 160 D) 140
- Hint: Volume = length × width × height.
- Steps:
- 8 × 5 = 40.
- 40 × 4 = 160.
- Answer: 160
[Medium] Subtracting Fractions
- EN: What is 7/10 − 3/10?
- FR: Combien fait 7/10 − 3/10?
- Choices: A) 3 B) 5 C) 4 D) 6
- Hint: Same denominators — subtract the numerators.
- Steps:
- 7 − 3 = 4. Denominator stays 10.
- Answer: 4/10. The numerator is 4.
- Answer: 4
[Medium] Finding 25% of a Number
- EN: A school store has 80 pencils. 25% are red. How many red pencils are there?
- FR: La boutique de l'école a 80 crayons. 25% sont rouges. Combien y a-t-il de crayons rouges?
- Choices: A) 15 B) 25 C) 20 D) 30
- Hint: 25% = one quarter. Divide by 4.
- Steps:
- 80 ÷ 4 = 20.
- Answer: 20
[Medium] Multi-Digit Division
- EN: 448 students are divided equally into 8 classes. How many students are in each class?
- FR: 448 élèves sont répartis également dans 8 classes. Combien d'élèves y a-t-il dans chaque classe?
- Choices: A) 54 B) 58 C) 56 D) 52
- Hint: Divide 448 by 8.
- Steps:
- 8 × 50 = 400. 448 − 400 = 48.
- 48 ÷ 8 = 6. Total: 56.
- Answer: 56
[Hard] Multi-Step Percent Problem
- EN: A winter jacket costs $80. It is on sale for 10% off. What is the sale price?
- FR: Un manteau d'hiver coûte 80 $. Il est en solde à 10% de rabais. Quel est le prix de vente?
- Choices: A) 72 B) 70 C) 68 D) 75
- Hint: Find 10% first, then subtract from the original price.
- Steps:
- 10% of $80 = $80 ÷ 10 = $8.
- $80 − $8 = $72.
- Answer: 72
[Hard] Multi-Step Fractions and Decimals
- EN: Tom earns $25.50 raking leaves. He spends 2/5 of his money on hockey cards. How much does he spend?
- FR: Tom gagne 25,50 $ en râtelant les feuilles. Il dépense 2/5 de son argent en cartes de hockey. Combien dépense-t-il?
- Choices: A) 9.20 B) 10.20 C) 11.20 D) 12.20
- Hint: Divide by 5 first to find 1/5, then multiply by 2.
- Steps:
- $25.50 ÷ 5 = $5.10.
- $5.10 × 2 = $10.20.
- Answer: 10.20
Grade 6 Problems
[Easy] Percent of a Number
- EN: What is 30% of 200?
- FR: Combien fait 30% de 200?
- Choices: A) 50 B) 70 C) 60 D) 40
- Hint: Find 10% then multiply by 3.
- Steps:
- 10% of 200 = 20.
- 3 × 20 = 60.
- Answer: 60
[Easy] Order of Operations
- EN: Calculate: 3 + 4 × 2
- FR: Calcule: 3 + 4 × 2
- Choices: A) 14 B) 11 C) 10 D) 13
- Hint: Multiplication comes before addition (BEDMAS).
- Steps:
- 4 × 2 = 8.
- 3 + 8 = 11.
- Answer: 11
[Easy] Ratio
- EN: In a bag of trail mix, there are 6 raisins for every 3 nuts. What is the ratio of raisins to nuts in simplest form?
- FR: Dans un sachet de mélange de randonnée, il y a 6 raisins pour 3 noix. Quel est le rapport des raisins aux noix sous la forme la plus simple?
- Choices: A) 1 B) 3 C) 6 D) 2
- Hint: Divide both numbers by their GCF.
- Steps:
- 6:3 — GCF is 3.
- 6÷3 : 3÷3 = 2:1. The first number is 2.
- Answer: 2
[Easy] Integer Introduction
- EN: The temperature in Winnipeg is −5°C. It drops by 3 more degrees. What is the new temperature?
- FR: La température à Winnipeg est de −5°C. Elle baisse encore de 3 degrés. Quelle est la nouvelle température?
- Choices: A) -9 B) -7 C) -8 D) -6
- Hint: Moving down on the number line means subtracting.
- Steps:
- −5 − 3 = −8.
- Answer: -8
[Easy] Simplifying Algebraic Expressions
- EN: Simplify: 3x + 5x
- FR: Simplifie: 3x + 5x
- Choices: A) 7x B) 9x C) 8x D) 6x
- Hint: Add the coefficients.
- Steps:
- 3 + 5 = 8.
- Answer: 8x. Coefficient is 8.
- Answer: 8
[Medium] Fraction Multiplication
- EN: What is 2/3 × 3/4?
- FR: Combien fait 2/3 × 3/4?
- Choices: A) 1 B) 2 C) 3 D) 4
- Hint: Multiply numerators together and denominators together, then simplify.
- Steps:
- (2×3)/(3×4) = 6/12.
- Simplify: 6/12 = 1/2. Numerator is 1.
- Answer: 1
[Medium] Rate Problem
- EN: A car travels 270 km in 3 hours. What is its speed in km per hour?
- FR: Une voiture parcourt 270 km en 3 heures. Quelle est sa vitesse en km par heure?
- Choices: A) 80 B) 100 C) 90 D) 85
- Hint: Divide total distance by total time.
- Steps:
- 270 ÷ 3 = 90 km/h.
- Answer: 90
[Medium] Order of Operations with Brackets
- EN: Calculate: (6 + 2) × 3 − 4
- FR: Calcule: (6 + 2) × 3 − 4
- Choices: A) 22 B) 18 C) 24 D) 20
- Hint: Solve brackets first, then multiply, then subtract.
- Steps:
- (6 + 2) = 8.
- 8 × 3 = 24.
- 24 − 4 = 20.
- Answer: 20
[Medium] Fraction Division
- EN: A recipe needs 3/4 cup of maple syrup. How many batches can you make from 3 cups?
- FR: Une recette nécessite 3/4 de tasse de sirop d'érable. Combien de lots peux-tu faire avec 3 tasses?
- Choices: A) 2 B) 5 C) 4 D) 3
- Hint: Divide 3 by 3/4 (multiply by the reciprocal).
- Steps:
- 3 ÷ 3/4 = 3 × 4/3.
- = 12/3 = 4.
- Answer: 4
[Medium] Percent Problem
- EN: A sweater costs $45. The store offers a 20% discount. How much is the discount?
- FR: Un chandail coûte 45 $. Le magasin offre un rabais de 20%. Quel est le montant du rabais?
- Choices: A) 7 B) 11 C) 9 D) 10
- Hint: Find 10% then double it.
- Steps:
- 10% of $45 = $4.50.
- 20% = $4.50 × 2 = $9.
- Answer: 9
[Medium] Integer Operations
- EN: What is (−4) + (−7) + 5?
- FR: Combien fait (−4) + (−7) + 5?
- Choices: A) -8 B) -4 C) -6 D) -7
- Hint: Add the negatives first, then add the positive.
- Steps:
- (−4) + (−7) = −11.
- −11 + 5 = −6.
- Answer: -6
[Hard] Multi-Step Ratio Problem
- EN: In a Grade 6 class, the ratio of girls to boys is 3:2. There are 30 students total. How many girls are in the class?
- FR: Dans une classe de 6e année, le rapport filles/garçons est de 3:2. Il y a 30 élèves au total. Combien y a-t-il de filles dans la classe?
- Choices: A) 16 B) 20 C) 18 D) 12
- Hint: Find the total number of parts in the ratio first.
- Steps:
- Total parts: 3 + 2 = 5.
- Value of each part: 30 ÷ 5 = 6.
- Girls: 3 × 6 = 18.
- Answer: 18
[Hard] BEDMAS with Fractions
- EN: Calculate: 12 ÷ (2 + 1) × 2 − 1
- FR: Calcule: 12 ÷ (2 + 1) × 2 − 1
- Choices: A) 5 B) 8 C) 6 D) 7
- Hint: Solve the bracket first, then work left to right for ÷ and ×.
- Steps:
- (2 + 1) = 3.
- 12 ÷ 3 = 4.
- 4 × 2 = 8.
- 8 − 1 = 7.
- Answer: 7
[Hard] Percent of a Number — Multi-Step
- EN: A school collects 400 cans for food bank. 35% are vegetables, 25% are soups, and the rest are fruit. How many cans are fruit?
- FR: Une école collecte 400 boîtes pour la banque alimentaire. 35% sont des légumes, 25% sont des soupes, et le reste sont des fruits. Combien de boîtes sont des fruits?
- Choices: A) 150 B) 180 C) 160 D) 140
- Hint: Find the percentage that is fruit first.
- Steps:
- Vegetables + Soup: 35% + 25% = 60%.
- Fruit: 100% − 60% = 40%.
- 40% of 400 = 160.
- Answer: 160
[Hard] Algebraic Expression Evaluation
- EN: If x = 4 and y = 3, find the value of 2x² − y.
- FR: Si x = 4 et y = 3, trouve la valeur de 2x² − y.
- Choices: A) 27 B) 31 C) 29 D) 25
- Hint: Calculate x² first, then multiply by 2, then subtract y.
- Steps:
- x² = 4² = 16.
- 2 × 16 = 32.
- 32 − 3 = 29.
- Answer: 29
Grade 7 Problems
[Easy] Integer Addition and Subtraction
- EN: What is −12 + 7?
- FR: Combien fait −12 + 7?
- Choices: A) -4 B) -6 C) -5 D) -3
- Hint: Start at −12 and move 7 steps to the right.
- Steps:
- −12 + 7 = −5.
- Answer: -5
[Easy] Fraction Addition
- EN: What is 3/5 + 4/5?
- FR: Combien fait 3/5 + 4/5?
- Choices: A) 6 B) 7 C) 5 D) 8
- Hint: Same denominators — add numerators.
- Steps:
- 3 + 4 = 7. Denominator stays 5.
- 7/5. Numerator is 7.
- Answer: 7
[Easy] Percent — Discount
- EN: A pair of hockey gloves is $60. They are 15% off. How much is the discount?
- FR: Une paire de gants de hockey coûte 60 $. Ils sont à 15% de rabais. Quel est le montant du rabais?
- Choices: A) 6 B) 12 C) 9 D) 15
- Hint: Find 10% then add half of that for 15%.
- Steps:
- 10% of $60 = $6.
- 5% of $60 = $3.
- 15% = $6 + $3 = $9.
- Answer: 9
[Easy] One-Step Equation
- EN: Solve for x: x + 14 = 22
- FR: Résous pour x: x + 14 = 22
- Choices: A) 6 B) 10 C) 8 D) 9
- Hint: Subtract 14 from both sides.
- Steps:
- x = 22 − 14.
- x = 8.
- Answer: 8
[Easy] Probability
- EN: A bag has 3 red marbles and 7 blue marbles. What is the probability of picking a red marble? Write the numerator.
- FR: Un sac contient 3 billes rouges et 7 billes bleues. Quelle est la probabilité de piger une bille rouge? Donne le numérateur.
- Choices: A) 7 B) 5 C) 3 D) 10
- Hint: Probability = favorable outcomes ÷ total outcomes.
- Steps:
- Total marbles = 3 + 7 = 10.
- Probability = 3/10. Numerator = 3.
- Answer: 3
[Medium] Integer Multiplication
- EN: What is (−6) × (−4)?
- FR: Combien fait (−6) × (−4)?
- Choices: A) 20 B) 28 C) 24 D) 18
- Hint: Negative × negative = positive.
- Steps:
- 6 × 4 = 24.
- Both negative: answer is positive 24.
- Answer: 24
[Medium] Percent — Tax
- EN: A school bag costs $35 before tax. Ontario's tax is 13% (HST). What is the total price including tax?
- FR: Un sac d'école coûte 35 $ avant taxes. La taxe en Ontario est de 13% (TVH). Quel est le prix total avec la taxe?
- Choices: A) 38.55 B) 39.55 C) 40.55 D) 37.55
- Hint: Find 13% of $35, then add to the original price.
- Steps:
- 13% of $35 = 0.13 × 35 = $4.55.
- $35 + $4.55 = $39.55.
- Answer: 39.55
[Medium] Surface Area of a Rectangular Prism
- EN: A box is 4 cm long, 3 cm wide, and 2 cm tall. What is its surface area?
- FR: Une boîte mesure 4 cm de long, 3 cm de large et 2 cm de hauteur. Quelle est son aire de surface?
- Choices: A) 50 B) 56 C) 52 D) 48
- Hint: SA = 2(lw + lh + wh).
- Steps:
- lw = 12, lh = 8, wh = 6.
- SA = 2(12 + 8 + 6) = 2(26) = 52.
- Answer: 52
[Medium] One-Step Equation with Fractions
- EN: Solve: 3x = 45
- FR: Résous: 3x = 45
- Choices: A) 12 B) 15 C) 18 D) 20
- Hint: Divide both sides by 3.
- Steps:
- x = 45 ÷ 3 = 15.
- Answer: 15
[Medium] Data — Mean
- EN: Five students scored 72, 85, 90, 68, and 80 on a math test. What is the mean score?
- FR: Cinq élèves ont obtenu 72, 85, 90, 68 et 80 à un test de maths. Quel est le score moyen?
- Choices: A) 77 B) 80 C) 79 D) 75
- Hint: Add all scores and divide by the number of students.
- Steps:
- 72 + 85 + 90 + 68 + 80 = 395.
- 395 ÷ 5 = 79.
- Answer: 79
[Medium] Integer Division
- EN: What is (−48) ÷ 6?
- FR: Combien fait (−48) ÷ 6?
- Choices: A) -9 B) -7 C) -8 D) -6
- Hint: Negative ÷ positive = negative.
- Steps:
- 48 ÷ 6 = 8.
- Negative ÷ positive = −8.
- Answer: -8
[Hard] Multi-Step Percent — Tip and Tax
- EN: A family's restaurant bill in Toronto is $120. They pay 13% HST and a 15% tip on the original price. What is the total amount they pay?
- FR: L'addition d'une famille dans un restaurant à Toronto est de 120 $. Ils paient 13% de TVH et un pourboire de 15% sur le prix original. Quel est le montant total payé?
- Choices: A) 153.60 B) 158.40 C) 151.60 D) 155.60
- Hint: Calculate tax and tip separately, then add both to the original bill.
- Steps:
- Tax: 13% of $120 = $15.60.
- Tip: 15% of $120 = $18.00.
- Total: $120 + $15.60 + $18.00 = $153.60.
- Answer: 153.60
[Hard] Surface Area — Cylinder Concept
- EN: A rectangular prism storage box is 10 cm × 6 cm × 5 cm. What fraction of its total surface area is one of the 10 × 6 faces? Give the numerator if the fraction is in lowest terms over 10.
- FR: Une boîte en forme de prisme rectangulaire mesure 10 cm × 6 cm × 5 cm. Quelle fraction de son aire totale de surface représente une face de 10 × 6? Donne le numérateur si la fraction est réduite sur 10.
- Choices: A) 2 B) 4 C) 3 D) 5
- Hint: Find the total surface area first, then express one face as a fraction.
- Steps:
- SA = 2(10×6 + 10×5 + 6×5) = 2(60+50+30) = 2(140) = 280.
- One 10×6 face = 60.
- Fraction = 60/280 = 3/14. Numerator = 3.
- Answer: 3
[Hard] Probability — Complementary Events
- EN: A spinner has 8 equal sections: 3 red, 2 blue, and 3 green. What is the probability of NOT landing on blue? Write the numerator.
- FR: Une roulette a 8 sections égales: 3 rouges, 2 bleues et 3 vertes. Quelle est la probabilité de NE PAS tomber sur bleu? Donne le numérateur.
- Choices: A) 5 B) 7 C) 6 D) 4
- Hint: Probability of not blue = 1 − probability of blue.
- Steps:
- P(blue) = 2/8.
- P(not blue) = 1 − 2/8 = 6/8 = 3/4. Numerator of 6/8 is 6.
- Answer: 6
[Hard] Two-Step Equation
- EN: Solve: 4x − 3 = 17
- FR: Résous: 4x − 3 = 17
- Choices: A) 3 B) 6 C) 5 D) 4
- Hint: Add 3 to both sides first, then divide.
- Steps:
- 4x − 3 + 3 = 17 + 3 → 4x = 20.
- x = 20 ÷ 4 = 5.
- Answer: 5
Grade 8 Problems
[Easy] Perfect Squares
- EN: What is √144?
- FR: Combien fait √144?
- Choices: A) 11 B) 14 C) 12 D) 13
- Hint: Think: what number times itself equals 144?
- Steps:
- 12 × 12 = 144.
- √144 = 12.
- Answer: 12
[Easy] Mean, Median, Mode
- EN: Find the mode of this data set: 4, 7, 4, 9, 3, 7, 4.
- FR: Trouve le mode de cet ensemble de données: 4, 7, 4, 9, 3, 7, 4.
- Choices: A) 7 B) 3 C) 9 D) 4
- Hint: The mode appears most often.
- Steps:
- 4 appears 3 times; 7 appears 2 times.
- Mode = 4.
- Answer: 4
[Easy] Two-Step Equation
- EN: Solve: 2x + 5 = 13
- FR: Résous: 2x + 5 = 13
- Choices: A) 3 B) 5 C) 4 D) 6
- Hint: Subtract 5 first, then divide by 2.
- Steps:
- 2x = 13 − 5 = 8.
- x = 8 ÷ 2 = 4.
- Answer: 4
[Easy] Pythagorean Theorem — Identify Hypotenuse
- 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 cathètes 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.
- c = √25 = 5.
- Answer: 5
[Easy] Percent Increase
- EN: A hockey jersey originally costs $50. The price increases by 10%. What is the new price?
- FR: Un chandail de hockey coûte 50 $ à l'origine. Le prix augmente de 10%. Quel est le nouveau prix?
- Choices: A) 53 B) 60 C) 55 D) 45
- Hint: Find 10% then add it to the original.
- Steps:
- 10% of $50 = $5.
- $50 + $5 = $55.
- Answer: 55
[Medium] Two-Step Equation — Negatives
- EN: Solve: 3x − 7 = 14
- FR: Résous: 3x − 7 = 14
- Choices: A) 8 B) 5 C) 9 D: 7
- Hint: Add 7 to both sides, then divide by 3.
- Steps:
- 3x = 14 + 7 = 21.
- x = 21 ÷ 3 = 7.
- Answer: 7
[Medium] Pythagorean Theorem
- EN: A ramp goes from the ground to a platform that is 6 m high. The horizontal distance is 8 m. How long is the ramp?
- FR: Une rampe va du sol à une plateforme de 6 m de haut. La distance horizontale est de 8 m. Quelle est la longueur de la rampe?
- Choices: A) 9 B) 11 C) 10 D) 12
- Hint: Use a² + b² = c².
- Steps:
- 6² + 8² = 36 + 64 = 100.
- √100 = 10 m.
- Answer: 10
[Medium] Slope Introduction
- EN: A line passes through (0, 1) and (3, 7). What is its slope?
- FR: Une droite passe par (0, 1) et (3, 7). Quel est son taux de variation?
- Choices: A) 3 B) 2 C) 4 D) 5
- Hint: Slope = rise ÷ run = (y₂ − y₁) ÷ (x₂ − x₁).
- Steps:
- Rise = 7 − 1 = 6.
- Run = 3 − 0 = 3.
- Slope = 6 ÷ 3 = 2.
- Answer: 2
[Medium] Percent Decrease
- EN: A snowboard costs $180. After the season it is marked down by 25%. What is the new price?
- FR: Une planche à neige coûte 180 $. Après la saison, elle est réduite de 25%. Quel est le nouveau prix?
- Choices: A) 125 B) 145 C) 135 D) 155
- Hint: Find 25% of $180 then subtract.
- Steps:
- 25% of $180 = $180 × 0.25 = $45.
- $180 − $45 = $135.
- Answer: 135
[Medium] Square Roots
- EN: Which two perfect squares does √50 fall between?
- FR: Entre quels deux carrés parfaits se trouve √50?
- Choices: A) 6 B) 8 C) 7 D) 9
- Hint: 7² = 49 and 8² = 64. √50 is between these.
- Steps:
- 7² = 49 < 50 < 64 = 8².
- √50 is between 7 and 8. The smaller integer is 7.
- Answer: 7
[Medium] Median
- EN: Find the median: 12, 5, 9, 3, 17, 8, 14.
- FR: Trouve la médiane: 12, 5, 9, 3, 17, 8, 14.
- Choices: A) 8 B) 12 C) 9 D) 10
- Hint: Arrange in order and find the middle value.
- Steps:
- In order: 3, 5, 8, 9, 12, 14, 17.
- Middle value (4th of 7) = 9.
- Answer: 9
[Hard] Two-Step Equation — Fractions
- EN: Solve: x/3 + 4 = 9
- FR: Résous: x/3 + 4 = 9
- Choices: A) 18 B) 12 C) 15 D) 21
- Hint: Subtract 4 first, then multiply by 3.
- Steps:
- x/3 = 9 − 4 = 5.
- x = 5 × 3 = 15.
- Answer: 15
[Hard] Pythagorean Theorem — Missing Leg
- EN: A right triangle has a hypotenuse of 13 m and one leg of 5 m. What is the length of the other leg?
- FR: Un triangle rectangle a une hypoténuse de 13 m et une cathète de 5 m. Quelle est la longueur de l'autre cathète?
- Choices: A) 10 B) 14 C) 12 D) 8
- Hint: a² + b² = c²; solve for the missing leg.
- Steps:
- a² + 5² = 13².
- a² = 169 − 25 = 144.
- a = √144 = 12.
- Answer: 12
[Hard] Percent Problem — Multi-Step
- EN: A store buys a coat for $80 and sells it for $120. What is the percent markup?
- FR: Un magasin achète un manteau pour 80 $ et le vend 120 $. Quel est le pourcentage de majoration?
- Choices: A) 40 B) 60 C) 50 D) 45
- Hint: Percent markup = (increase ÷ original) × 100.
- Steps:
- Increase = $120 − $80 = $40.
- Markup = (40 ÷ 80) × 100 = 50%.
- Answer: 50
[Hard] Slope and Y-Intercept
- EN: A line has the equation y = 3x − 2. What is the y-
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