Daily Math — 2026-06-19
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 de rondelles y a-t-il maintenant?
- Choices: A) 9 B) 10 C) 11 D) 8
- Hint: Count on from 7 by adding 3 more.
- Steps:
- Start at 7.
- Count forward 3 more: 8, 9, 10.
- Answer: 10
[Easy] Maple Leaf Collecting
- EN: Mia found 5 maple leaves in the morning and 6 in the afternoon. How many leaves did she find in all?
- FR: Mia a trouvé 5 feuilles d'érable le matin et 6 l'après-midi. Combien de feuilles a-t-elle trouvées en tout?
- Choices: A) 10 B) 9 C) 11 D) 12
- Hint: Add the two groups of leaves together.
- Steps:
- Start with 5 leaves.
- Add 6 more: 5 + 6 = 11.
- Answer: 11
[Easy] Pennies in a Jar
- EN: Luca has 8 pennies. He gives 3 to his friend. How many pennies does Luca have left?
- FR: Luca a 8 sous. Il en donne 3 à son ami. Combien de sous Luca a-t-il maintenant?
- Choices: A) 4 B) 6 C) 5 D) 3
- Hint: Take 3 away from 8.
- Steps:
- Start with 8 pennies.
- Subtract 3: 8 − 3 = 5.
- Answer: 5
[Easy] Skip Counting by 2s
- EN: Count by 2s: 2, 4, 6, 8, ___. What number comes next?
- FR: Compte par 2: 2, 4, 6, 8, ___. Quel nombre vient ensuite?
- Choices: A) 9 B) 11 C) 10 D) 12
- Hint: Each number goes up by 2.
- Steps:
- Look at the pattern: each number is 2 more than the last.
- Add 2 to 8: 8 + 2 = 10.
- Answer: 10
[Medium] Snowflakes on a Window
- EN: There are 14 snowflakes on a window. 6 melt away. How many snowflakes are left?
- FR: Il y a 14 flocons de neige sur une fenêtre. 6 fondent. Combien de flocons reste-t-il?
- Choices: A) 7 B) 9 C) 8 D) 6
- Hint: Subtract 6 from 14.
- Steps:
- Start at 14.
- Count back 6: 13, 12, 11, 10, 9, 8.
- Answer: 8
[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 later when counting.
- Steps:
- Count: …13, 14, 15, 16, 17.
- 17 comes after 13, so 17 is bigger.
- Answer: 17
[Medium] Tim Hortons Timbits
- EN: A box has 10 Timbits. Omar eats 4. How many Timbits are left in the box?
- FR: Une boîte contient 10 Timbits. Omar en mange 4. Combien de Timbits reste-t-il dans la boîte?
- Choices: A) 5 B) 7 C) 6 D) 8
- Hint: Start at 10 and take away 4.
- Steps:
- Start with 10 Timbits.
- Subtract 4: 10 − 4 = 6.
- Answer: 6
[Medium] Skip Counting by 5s
- EN: Count by 5s: 5, 10, 15, ___. What number comes next?
- FR: Compte par 5: 5, 10, 15, ___. Quel nombre vient ensuite?
- Choices: A) 18 B) 20 C) 25 D) 16
- Hint: Add 5 to the last number in the pattern.
- Steps:
- The pattern adds 5 each time.
- 15 + 5 = 20.
- Answer: 20
[Hard] Camping Supplies
- EN: Maya packed 9 granola bars for camping. She ate some and had 4 left. How many did she eat?
- FR: Maya a emballé 9 barres granola pour le camping. Elle en a mangé quelques-unes et il lui en reste 4. Combien en a-t-elle mangé?
- Choices: A) 4 B) 6 C) 5 D) 3
- Hint: Think about what number plus 4 equals 9.
- Steps:
- We know 9 − ? = 4.
- 9 − 4 = 5, so she ate 5.
- Answer: 5
[Hard] Counting to 100
- EN: Start at 80 and count by 10s. What number comes after 90?
- FR: Commence à 80 et compte par 10. Quel nombre vient après 90?
- Choices: A) 95 B) 91 C) 99 D) 100
- Hint: Each jump adds 10 more.
- Steps:
- 80, then 90 (add 10).
- 90 + 10 = 100.
- Answer: 100
Grade 2 Problems
[Easy] Adding at the Store
- EN: Ethan buys a pencil for 25¢ and an eraser for 10¢. How many cents does he spend in total?
- FR: Ethan achète un crayon pour 25¢ et une gomme pour 10¢. Combien de cents dépense-t-il en tout?
- Choices: A) 30 B) 35 C) 40 D) 32
- Hint: Add the two amounts together.
- Steps:
- 25 + 10 = 35.
- He spends 35 cents.
- Answer: 35
[Easy] Snowfall Measurement
- EN: It snowed 12 cm on Monday and 8 cm on Tuesday. How much snow fell in total?
- FR: Il a neigé 12 cm lundi et 8 cm mardi. Quelle est la quantité totale de neige tombée?
- Choices: A) 18 B) 22 C) 20 D) 19
- Hint: Add the two snowfall amounts.
- Steps:
- 12 + 8 = 20.
- Total snowfall is 20 cm.
- Answer: 20
[Easy] Telling Time
- EN: The clock shows 3 o'clock. What number does the hour hand point to?
- FR: L'horloge indique 3 heures. Sur quel chiffre pointe la grande aiguille des heures?
- Choices: A) 12 B) 6 C) 3 D) 9
- Hint: The hour hand points to the hour number.
- Steps:
- At 3 o'clock, the hour hand points to 3.
- The answer is 3.
- Answer: 3
[Easy] Subtraction Practice
- EN: There are 45 students in a gym. 20 go back to class. How many students remain?
- FR: Il y a 45 élèves dans un gymnase. 20 retournent en classe. Combien d'élèves restent?
- Choices: A) 20 B) 30 C) 25 D) 15
- Hint: Subtract 20 from 45.
- Steps:
- 45 − 20 = 25.
- 25 students remain.
- Answer: 25
[Medium] Coin Counting
- EN: Ava has 2 dimes, 1 nickel, and 3 pennies. How many cents does she have in total?
- FR: Ava a 2 pièces de 10¢, 1 pièce de 5¢ et 3 sous. Combien de cents a-t-elle en tout?
- Choices: A) 30 B) 26 C) 28 D) 24
- Hint: A dime is 10¢, a nickel is 5¢, and a penny is 1¢.
- Steps:
- 2 dimes = 20¢; 1 nickel = 5¢; 3 pennies = 3¢.
- 20 + 5 + 3 = 28¢.
- Answer: 28
[Medium] Measuring a Bookshelf
- EN: A bookshelf is 96 cm long. A book takes up 34 cm. How much space is left on the shelf?
- FR: Une étagère mesure 96 cm de long. Un livre occupe 34 cm. Combien d'espace reste-t-il sur l'étagère?
- Choices: A) 62 B) 58 C) 64 D) 60
- Hint: Subtract 34 from 96.
- Steps:
- 96 − 34 = 62.
- There are 62 cm of space left.
- Answer: 62
[Medium] Skip Counting by 10s
- EN: Count by 10s starting at 30. What is the 5th number you say?
- FR: Compte par 10 en commençant à 30. Quel est le 5e nombre que tu dis?
- Choices: A) 70 B) 80 C) 60 D) 75
- Hint: The first number is 30. Count four more jumps of 10.
- Steps:
- 30 (1st), 40 (2nd), 50 (3rd), 60 (4th), 70 (5th).
- The 5th number is 70.
- Answer: 70
[Medium] Telling Time — Half Hour
- EN: The clock shows half past 7. What time is it in numbers? (Give the hour only.)
- FR: L'horloge indique 7 h 30. Quelle heure est-il? (Donne seulement l'heure.)
- Choices: A) 6 B) 8 C) 7 D) 9
- Hint: "Half past" means 30 minutes after the hour.
- Steps:
- "Half past 7" means 7:30.
- The hour is 7.
- Answer: 7
[Hard] Spending Money
- EN: Niko has 75¢. He buys a sticker for 38¢. How many cents does he have left?
- FR: Niko a 75¢. Il achète un autocollant pour 38¢. Combien de cents lui reste-t-il?
- Choices: A) 35 B) 39 C) 37 D) 33
- Hint: Subtract 38 from 75. Watch the ones place carefully.
- Steps:
- 75 − 38: subtract ones: 15 − 8 = 7 (borrow from tens), tens: 6 − 3 = 3.
- Wait, regroup: 75 − 38 = 37.
- Answer: 37
[Hard] Pattern Problem
- EN: A pattern goes: 12, 17, 22, 27, ___. What number comes next?
- FR: Un modèle: 12, 17, 22, 27, ___. Quel nombre vient ensuite?
- Choices: A) 30 B) 32 C) 35 D) 29
- Hint: Find how much the pattern increases each time.
- Steps:
- 17 − 12 = 5; 22 − 17 = 5; pattern adds 5 each time.
- 27 + 5 = 32.
- Answer: 32
Grade 3 Problems
[Easy] Multiplication Table of 5
- EN: There are 5 bags. Each bag has 4 apples. How many apples are there in all?
- FR: Il y a 5 sacs. Chaque sac contient 4 pommes. Combien de pommes y a-t-il en tout?
- Choices: A) 16 B) 20 C) 24 D) 18
- Hint: Multiply 5 by 4.
- Steps:
- 5 × 4 = 20.
- There are 20 apples in total.
- Answer: 20
[Easy] Fractions — Half
- EN: A pizza is cut into 4 equal slices. Sophie eats 2 slices. What fraction of the pizza did she eat?
- FR: Une pizza est coupée en 4 parts égales. Sophie mange 2 parts. Quelle fraction de la pizza a-t-elle mangée? (Donne le numérateur.)
- Choices: A) 1 B) 3 C) 2 D) 4
- Hint: How many slices did she eat out of 4 total?
- Steps:
- She ate 2 out of 4 slices, which is 2/4 = 1/2.
- The numerator of 2/4 is 2.
- Answer: 2
[Easy] Basic Division
- EN: 15 hockey cards are shared equally among 3 friends. How many cards does each friend get?
- FR: 15 cartes de hockey sont partagées également entre 3 amis. Combien de cartes chaque ami reçoit-il?
- Choices: A) 4 B) 6 C) 5 D) 3
- Hint: Divide 15 by 3.
- Steps:
- 15 ÷ 3 = 5.
- Each friend gets 5 cards.
- Answer: 5
[Easy] Perimeter
- EN: A square sandbox has sides of 3 m each. What is the perimeter of the sandbox?
- FR: Un carré de sable a des côtés de 3 m chacun. Quel est le périmètre du carré de sable?
- Choices: A) 9 B) 16 C) 12 D) 8
- Hint: A square has 4 equal sides. Add them all up.
- Steps:
- Perimeter = 4 × 3 = 12 m.
- The perimeter is 12 m.
- Answer: 12
[Medium] Multiplication Table of 3
- EN: A maple syrup stand sells 3 bottles each hour. How many bottles are sold in 7 hours?
- FR: Un kiosque de sirop d'érable vend 3 bouteilles par heure. Combien de bouteilles sont vendues en 7 heures?
- Choices: A) 18 B) 24 C) 21 D) 19
- Hint: Multiply 3 by 7.
- Steps:
- 3 × 7 = 21.
- 21 bottles are sold.
- Answer: 21
[Medium] Reading a Graph
- EN: A bar graph shows students' favourite seasons. Summer: 8, Winter: 6, Spring: 5, Fall: 3. How many more students prefer Summer than Fall?
- FR: Un graphique montre les saisons préférées. Été: 8, Hiver: 6, Printemps: 5, Automne: 3. Combien d'élèves de plus préfèrent l'été plutôt que l'automne?
- Choices: A) 3 B) 6 C) 5 D) 4
- Hint: Subtract the Fall value from the Summer value.
- Steps:
- Summer = 8, Fall = 3.
- 8 − 3 = 5.
- Answer: 5
[Medium] Fractions — Quarter
- EN: A ribbon is 12 cm long. What is 1/4 of the ribbon's length?
- FR: Un ruban a 12 cm de long. Quelle est la longueur de 1/4 du ruban?
- Choices: A) 4 B) 6 C) 3 D) 2
- Hint: Divide the total length into 4 equal parts.
- Steps:
- 12 ÷ 4 = 3.
- One quarter is 3 cm.
- Answer: 3
[Medium] Multiplication Table of 10
- EN: There are 6 boxes of crayons. Each box has 10 crayons. How many crayons are there altogether?
- FR: Il y a 6 boîtes de crayons. Chaque boîte contient 10 crayons. Combien de crayons y a-t-il en tout?
- Choices: A) 56 B) 70 C) 60 D) 65
- Hint: Multiply 6 by 10.
- Steps:
- 6 × 10 = 60.
- There are 60 crayons in total.
- Answer: 60
[Hard] Perimeter of a Rectangle
- EN: A rectangular garden is 8 m long and 5 m wide. What is the perimeter of the garden?
- FR: Un jardin rectangulaire a 8 m de long et 5 m de large. Quel est le périmètre du jardin?
- Choices: A) 40 B) 24 C) 26 D) 30
- Hint: A rectangle has two lengths and two widths. Add them all.
- Steps:
- Perimeter = 2 × (8 + 5) = 2 × 13 = 26.
- The perimeter is 26 m.
- Answer: 26
[Hard] Division with Context
- EN: 28 campers are split into equal groups of 4. How many groups are there?
- FR: 28 campeurs sont répartis en groupes égaux de 4. Combien de groupes y a-t-il?
- Choices: A) 6 B) 8 C) 7 D) 9
- Hint: Divide 28 by 4.
- Steps:
- 28 ÷ 4 = 7.
- There are 7 groups.
- Answer: 7
Grade 4 Problems
[Easy] Multiplication Facts
- EN: A hockey team has 9 players. There are 7 teams in the league. How many players are there in total?
- FR: Une équipe de hockey a 9 joueurs. Il y a 7 équipes dans la ligue. Combien de joueurs y a-t-il en tout?
- Choices: A) 56 B) 72 C) 63 D) 54
- Hint: Multiply 9 by 7.
- Steps:
- 9 × 7 = 63.
- There are 63 players in total.
- Answer: 63
[Easy] Decimal Place Value
- EN: What is the value of the digit 4 in the number 3.47? (Give the value as a decimal.)
- FR: Quelle est la valeur du chiffre 4 dans le nombre 3,47? (Donne la valeur en décimale.)
- Choices: A) 4 B) 0.04 C) 0.4 D) 0.40
- Hint: The first digit after the decimal point is in the tenths place.
- Steps:
- In 3.47, the digit 4 is in the tenths place.
- Its value is 0.4.
- Answer: 0.4
[Easy] Area of a Rectangle
- EN: A classroom floor is 8 m long and 6 m wide. What is the area of the floor?
- FR: Le plancher d'une salle de classe a 8 m de long et 6 m de large. Quelle est l'aire du plancher?
- Choices: A) 48 B) 42 C) 28 D) 56
- Hint: Area = length × width.
- Steps:
- Area = 8 × 6 = 48.
- The area is 48 m².
- Answer: 48
[Easy] Long Division
- EN: 36 maple cookies are divided equally into 4 bags. How many cookies are in each bag?
- FR: 36 biscuits à l'érable sont répartis également dans 4 sacs. Combien de biscuits y a-t-il dans chaque sac?
- Choices: A) 8 B) 10 C) 9 D) 7
- Hint: Divide 36 by 4.
- Steps:
- 36 ÷ 4 = 9.
- Each bag has 9 cookies.
- Answer: 9
[Medium] Division with Remainder
- EN: 50 students are put into groups of 8. How many students are left over?
- FR: 50 élèves sont répartis en groupes de 8. Combien d'élèves restent-ils?
- Choices: A) 4 B) 3 C) 2 D) 6
- Hint: Divide 50 by 8 and find the remainder.
- Steps:
- 8 × 6 = 48; 50 − 48 = 2.
- The remainder is 2.
- Answer: 2
[Medium] Comparing Fractions
- EN: Which fraction is larger: 3/4 or 2/4? Give the numerator of the larger fraction.
- FR: Quelle fraction est plus grande: 3/4 ou 2/4? Donne le numérateur de la plus grande fraction.
- Choices: A) 2 B) 4 C) 3 D) 1
- Hint: When denominators are the same, compare the numerators.
- Steps:
- Both fractions have denominator 4.
- 3 > 2, so 3/4 is larger. The numerator is 3.
- Answer: 3
[Medium] Elapsed Time
- EN: School starts at 8:30 a.m. and ends at 3:00 p.m. How many hours does the school day last?
- FR: L'école commence à 8h30 et se termine à 15h00. Combien d'heures dure la journée scolaire?
- Choices: A) 7 B) 6 C) 8 D) 6.5
- Hint: Count from 8:30 to 3:00.
- Steps:
- 8:30 to 3:00 = 6 hours and 30 minutes = 6.5 hours.
- The school day lasts 6.5 hours.
- Answer: 6.5
[Medium] Decimal Addition
- EN: A juice bottle holds 1.25 L and a water bottle holds 0.75 L. How many litres do they hold together?
- FR: Une bouteille de jus contient 1,25 L et une bouteille d'eau contient 0,75 L. Combien de litres contiennent-elles ensemble?
- Choices: A) 1.75 B) 2.00 C) 1.90 D) 2.10
- Hint: Add the two decimal amounts.
- Steps:
- 1.25 + 0.75 = 2.00.
- Together they hold 2 litres.
- Answer: 2
[Hard] Multi-Step Area
- EN: A rectangular park is 12 m long and 9 m wide. A square fountain 3 m × 3 m is inside. What is the area of the park outside the fountain?
- FR: Un parc rectangulaire a 12 m de long et 9 m de large. Une fontaine carrée de 3 m × 3 m se trouve à l'intérieur. Quelle est l'aire du parc en dehors de la fontaine?
- Choices: A) 108 B) 95 C) 99 D) 90
- Hint: Find the total area and subtract the fountain's area.
- Steps:
- Park area = 12 × 9 = 108 m².
- Fountain area = 3 × 3 = 9 m²; 108 − 9 = 99 m².
- Answer: 99
[Hard] Long Division with Remainder
- EN: A teacher has 97 stickers to give equally to 9 students. How many stickers are left over?
- FR: Une enseignante a 97 autocollants à donner également à 9 élèves. Combien d'autocollants restent-ils?
- Choices: A) 7 B) 9 C) 6 D) 8
- Hint: Find how many times 9 goes into 97, then find the remainder.
- Steps:
- 9 × 10 = 90; 97 − 90 = 7.
- The remainder is 7.
- Answer: 7
Grade 5 Problems
[Easy] Multi-Digit Multiplication
- EN: A campsite charges $24 per night. How much does a 3-night stay cost?
- FR: Un terrain de camping coûte 24 $ par nuit. Combien coûte un séjour de 3 nuits?
- Choices: A) 72 B) 64 C) 60 D) 78
- Hint: Multiply 24 by 3.
- Steps:
- 24 × 3 = 72.
- A 3-night stay costs $72.
- Answer: 72
[Easy] Adding Fractions (Like Denominators)
- EN: Sofia ate 2/8 of a pie and her brother ate 3/8. How much of the pie did they eat in total? (Give the numerator.)
- FR: Sofia a mangé 2/8 d'une tarte et son frère en a mangé 3/8. Quelle fraction ont-ils mangée en tout? (Donne le numérateur.)
- Choices: A) 6 B) 4 C) 5 D) 3
- Hint: Add the numerators. The denominator stays the same.
- Steps:
- 2/8 + 3/8 = 5/8.
- The numerator is 5.
- Answer: 5
[Easy] Decimal Subtraction
- EN: A sweater costs $23.75 and a hat costs $11.50. How much more does the sweater cost?
- FR: Un chandail coûte 23,75 $ et un chapeau coûte 11,50 $. De combien le chandail est-il plus cher?
- Choices: A) 12.25 B) 11.75 C) 13.25 D) 10.25
- Hint: Subtract $11.50 from $23.75.
- Steps:
- 23.75 − 11.50 = 12.25.
- The sweater costs $12.25 more.
- Answer: 12.25
[Easy] 50% of a Number
- EN: A hockey jersey normally costs $60. It is on sale for 50% off. How much is the discount?
- FR: Un chandail de hockey coûte normalement 60 $. Il est en solde à 50% de rabais. Quel est le montant du rabais?
- Choices: A) 25 B) 40 C) 30 D) 20
- Hint: 50% means half. Divide by 2.
- Steps:
- 50% of 60 = 60 ÷ 2 = 30.
- The discount is $30.
- Answer: 30
[Medium] Multi-Digit Division
- EN: A school orders 144 textbooks equally for 6 classrooms. How many textbooks does each classroom get?
- FR: Une école commande 144 manuels pour 6 classes. Combien de manuels chaque classe reçoit-elle?
- Choices: A) 22 B) 26 C) 24 D) 28
- Hint: Divide 144 by 6.
- Steps:
- 144 ÷ 6 = 24.
- Each classroom gets 24 textbooks.
- Answer: 24
[Medium] Subtracting Fractions
- EN: A container has 7/10 of maple syrup. 3/10 is poured out. How much is left? (Give the numerator.)
- FR: Un récipient contient 7/10 de sirop d'érable. On verse 3/10. Combien reste-t-il? (Donne le numérateur.)
- Choices: A) 3 B) 5 C) 4 D) 6
- Hint: Subtract the numerators. The denominator stays the same.
- Steps:
- 7/10 − 3/10 = 4/10.
- The numerator is 4.
- Answer: 4
[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 a 5 cm de long, 4 cm de large et 3 cm de haut. Quel est le volume de la boîte?
- Choices: A) 48 B) 60 C) 56 D) 64
- Hint: Volume = length × width × height.
- Steps:
- Volume = 5 × 4 × 3 = 60 cm³.
- The volume is 60.
- Answer: 60
[Medium] 25% of a Number
- EN: There are 80 students in a gym. 25% of them are wearing red shirts. How many students are wearing red shirts?
- FR: Il y a 80 élèves dans un gymnase. 25% d'entre eux portent des chemises rouges. Combien d'élèves portent des chemises rouges?
- Choices: A) 25 B) 16 C) 20 D) 24
- Hint: 25% is the same as 1/4. Divide by 4.
- Steps:
- 25% of 80 = 80 ÷ 4 = 20.
- 20 students are wearing red shirts.
- Answer: 20
[Hard] Multi-Step Decimal Problem
- EN: Lucas buys 3 notebooks for $2.45 each and a pen for $1.75. How much does he spend in total?
- FR: Lucas achète 3 cahiers à 2,45 $ chacun et un stylo à 1,75 $. Combien dépense-t-il en tout?
- Choices: A) 9.00 B) 8.10 C) 9.10 D) 7.90
- Hint: First multiply to find the cost of notebooks, then add the pen.
- Steps:
- 3 × $2.45 = $7.35.
- $7.35 + $1.75 = $9.10.
- Answer: 9.10
[Hard] Volume and Percentage
- EN: A fish tank holds 200 litres when full. It is currently 10% full. How many litres of water are in the tank?
- FR: Un aquarium contient 200 litres quand il est plein. Il est actuellement rempli à 10%. Combien de litres d'eau y a-t-il dans l'aquarium?
- Choices: A) 10 B) 25 C) 20 D) 15
- Hint: 10% means 10 out of every 100. Divide by 10.
- Steps:
- 10% of 200 = 200 ÷ 10 = 20.
- There are 20 litres in the tank.
- Answer: 20
Grade 6 Problems
[Easy] Percent of a Number
- EN: A Tim Hortons coffee costs $2.00. There is a 15% tax. How much is the tax in cents?
- FR: Un café Tim Hortons coûte 2,00 $. Il y a une taxe de 15%. Quel est le montant de la taxe en cents?
- Choices: A) 25 B) 30 C) 35 D) 20
- Hint: Find 15% of 200 cents.
- Steps:
- 15% of 200 = 0.15 × 200 = 30.
- The tax is 30 cents.
- Answer: 30
[Easy] Order of Operations (BEDMAS)
- EN: Calculate: 3 + 4 × 2
- FR: Calcule: 3 + 4 × 2
- Choices: A) 14 B) 10 C) 11 D) 9
- Hint: Multiplication comes before addition in BEDMAS.
- Steps:
- Multiply first: 4 × 2 = 8.
- Then add: 3 + 8 = 11.
- Answer: 11
[Easy] Ratio
- EN: In a bag of 20 marbles, 8 are blue. What is the ratio of blue marbles to total marbles? (Give the first number of the ratio.)
- FR: Dans un sac de 20 billes, 8 sont bleues. Quel est le rapport des billes bleues au total? (Donne le premier nombre du rapport.)
- Choices: A) 12 B) 20 C) 8 D) 4
- Hint: The ratio is blue : total.
- Steps:
- Blue = 8, total = 20.
- The ratio is 8:20; the first number is 8.
- Answer: 8
[Easy] Integer Introduction
- EN: The temperature in Winnipeg is −5°C in the morning. By noon it rises 9 degrees. What is the temperature at noon?
- FR: La température à Winnipeg est de −5°C le matin. À midi, elle monte de 9 degrés. Quelle est la température à midi?
- Choices: A) 3 B) 5 C) 4 D) 6
- Hint: Start at −5 and add 9.
- Steps:
- −5 + 9 = 4.
- The temperature at noon is 4°C.
- Answer: 4
[Easy] Algebraic Expression
- EN: If n = 6, what is the value of 3n + 2?
- FR: Si n = 6, quelle est la valeur de 3n + 2?
- Choices: A) 18 B) 22 C) 20 D) 24
- Hint: Substitute n = 6 into the expression.
- Steps:
- 3 × 6 = 18; 18 + 2 = 20.
- The value is 20.
- Answer: 20
[Medium] Fraction Multiplication
- EN: A recipe needs 3/4 cup of maple syrup. If you make 2 batches, how many cups do you need? (Give the numerator when expressed as a fraction over 4.)
- FR: Une recette nécessite 3/4 tasse de sirop d'érable. Si tu fais 2 recettes, combien de tasses te faut-il? (Donne le numérateur avec le dénominateur 4.)
- Choices: A) 5 B) 8 C) 6 D) 7
- Hint: Multiply 3/4 by 2.
- Steps:
- 3/4 × 2 = 6/4.
- The numerator is 6.
- Answer: 6
[Medium] Fraction Division
- EN: You have 3/4 of a pizza. You divide it into pieces that are each 1/4 of a pizza. How many pieces do you have?
- FR: Tu as 3/4 d'une pizza. Tu la coupes en morceaux de 1/4 chacun. Combien de morceaux as-tu?
- Choices: A) 2 B) 4 C) 3 D) 1
- Hint: Divide 3/4 by 1/4.
- Steps:
- 3/4 ÷ 1/4 = 3/4 × 4/1 = 3.
- There are 3 pieces.
- Answer: 3
[Medium] Rate Problem
- EN: A car travels 120 km in 2 hours. What is the car's speed in km per hour?
- FR: Une voiture parcourt 120 km en 2 heures. Quelle est la vitesse de la voiture en km/h?
- Choices: A) 50 B) 70 C) 60 D) 80
- Hint: Divide total distance by total time.
- Steps:
- Speed = 120 ÷ 2 = 60 km/h.
- The car travels at 60 km/h.
- Answer: 60
[Medium] Percent of a Number
- EN: A jacket costs $80. It is 30% off. How much do you save?
- FR: Un manteau coûte 80 $. Il est à 30% de rabais. Combien économises-tu?
- Choices: A) 20 B) 30 C) 24 D) 28
- Hint: Find 30% of $80.
- Steps:
- 30% of 80 = 0.30 × 80 = 24.
- You save $24.
- Answer: 24
[Medium] BEDMAS with Brackets
- EN: Calculate: (10 − 4) × 3 + 5
- FR: Calcule: (10 − 4) × 3 + 5
- Choices: A) 23 B) 21 C) 27 D) 19
- Hint: Solve the bracket first, then multiply, then add.
- Steps:
- (10 − 4) = 6; 6 × 3 = 18; 18 + 5 = 23.
- The answer is 23.
- Answer: 23
[Medium] Ratio Simplification
- EN: A class has 12 boys and 18 girls. What is the simplified ratio of boys to girls? (Give the first number of the simplified ratio.)
- FR: Une classe a 12 garçons et 18 filles. Quel est le rapport simplifié garçons : filles? (Donne le premier nombre du rapport simplifié.)
- Choices: A) 3 B) 2 C) 4 D) 6
- Hint: Find the greatest common factor of 12 and 18, then divide both.
- Steps:
- GCF of 12 and 18 = 6.
- 12 ÷ 6 = 2; 18 ÷ 6 = 3. Ratio = 2:3. First number is 2.
- Answer: 2
[Hard] Integer Operations
- EN: The temperature drops from 3°C to −11°C overnight. How many degrees did it drop?
- FR: La température baisse de 3°C à −11°C durant la nuit. De combien de degrés a-t-elle baissé?
- Choices: A) 12 B) 16 C) 14 D) 8
- Hint: Find the difference between 3 and −11.
- Steps:
- 3 − (−11) = 3 + 11 = 14.
- The temperature dropped 14 degrees.
- Answer: 14
[Hard] Multi-Step Percent
- EN: A store sells 200 items. 60% are sold in the morning and 25% of the remaining items are sold in the afternoon. How many items are sold in the afternoon?
- FR: Un magasin vend 200 articles. 60% sont vendus le matin et 25% des articles restants sont vendus l'après-midi. Combien d'articles sont vendus l'après-midi?
- Choices: A) 25 B) 30 C) 20 D) 40
- Hint: First find how many are left after the morning sales.
- Steps:
- Morning: 60% of 200 = 120 sold; remaining = 80.
- Afternoon: 25% of 80 = 20.
- Answer: 20
[Hard] Algebraic Expression with Two Variables
- EN: Evaluate 2a + 3b when a = 4 and b = 5.
- FR: Évalue 2a + 3b quand a = 4 et b = 5.
- Choices: A) 22 B) 25 C) 23 D) 28
- Hint: Substitute both values and follow the order of operations.
- Steps:
- 2 × 4 = 8; 3 × 5 = 15.
- 8 + 15 = 23.
- Answer: 23
[Hard] Fraction Division in Context
- EN: A roll of ribbon is 5 metres long. Each piece must be 2/3 of a metre. How many pieces can be cut from the roll?
- FR: Un rouleau de ruban a 5 mètres de long. Chaque morceau doit avoir 2/3 de mètre. Combien de morceaux peut-on couper?
- Choices: A) 6 B) 8 C) 7 D) 9
- Hint: Divide 5 by 2/3.
- Steps:
- 5 ÷ 2/3 = 5 × 3/2 = 15/2 = 7.5.
- You can cut 7 full pieces.
- Answer: 7
Grade 7 Problems
[Easy] Percent Discount
- EN: A pair of skates costs $120. They are on sale for 20% off. How much is the sale price?
- FR: Une paire de patins coûte 120 $. Elle est en solde à 20% de rabais. Quel est le prix de vente?
- Choices: A) 90 B) 96 C) 100 D) 86
- Hint: Find 20% of 120, then subtract from the original price.
- Steps:
- 20% of 120 = 24; 120 − 24 = 96.
- The sale price is $96.
- Answer: 96
[Easy] Integer Addition
- EN: A submarine is at −35 m. It rises 20 m. What is its new depth?
- FR: Un sous-marin est à −35 m. Il remonte de 20 m. Quelle est sa nouvelle profondeur?
- Choices: A) −10 B) −15 C) −20 D) −25
- Hint: Add 20 to −35.
- Steps:
- −35 + 20 = −15.
- The new depth is −15 m.
- Answer: -15
[Easy] One-Step Linear Equation
- EN: Solve for x: x + 13 = 30
- FR: Résous pour x: x + 13 = 30
- Choices: A) 15 B) 18 C) 17 D) 16
- Hint: Subtract 13 from both sides.
- Steps:
- x = 30 − 13 = 17.
- x = 17.
- Answer: 17
[Easy] Fraction Fluency
- EN: What is 3/5 expressed as a decimal?
- FR: Quelle est la valeur décimale de 3/5?
- Choices: A) 0.35 B) 0.6 C) 0.5 D) 0.65
- Hint: Divide the numerator by the denominator.
- Steps:
- 3 ÷ 5 = 0.6.
- 3/5 = 0.6.
- Answer: 0.6
[Easy] Probability
- EN: A bag has 4 red, 3 blue, and 3 green marbles. What is the probability of picking a red marble? (Give the numerator.)
- FR: Un sac contient 4 billes rouges, 3 bleues et 3 vertes. Quelle est la probabilité de piger une bille rouge? (Donne le numérateur.)
- Choices: A) 3 B) 10 C) 4 D) 5
- Hint: Probability = favourable outcomes ÷ total outcomes.
- Steps:
- Total marbles = 4 + 3 + 3 = 10.
- P(red) = 4/10; the numerator is 4.
- Answer: 4
[Medium] Percent Tax
- EN: A video game costs $65. The tax rate is 13% (HST). What is the total cost including tax?
- FR: Un jeu vidéo coûte 65 $. Le taux de taxe est de 13% (TVH). Quel est le coût total avec la taxe?
- Choices: A) 73.45 B) 74.35 C) 75.00 D) 72.00
- Hint: Find 13% of $65 and add it to the original price.
- Steps:
- 13% of 65 = 0.13 × 65 = 8.45.
- 65 + 8.45 = 73.45.
- Answer: 73.45
[Medium] Integer Subtraction
- EN: A football team gains 7 yards, then loses 12 yards. What is the net change in yards?
- FR: Une équipe de football gagne 7 verges, puis en perd 12. Quel est le changement net en verges?
- Choices: A) −4 B) −5 C) −6 D) −3
- Hint: Add the gain and subtract the loss.
- Steps:
- +7 − 12 = −5.
- The net change is −5 yards.
- Answer: -5
[Medium] Surface Area of a Rectangular Prism
- EN: A box is 6 cm long, 4 cm wide, and 3 cm tall. What is the surface area of the box?
- FR: Une boîte a 6 cm de long, 4 cm de large et 3 cm de haut. Quelle est l'aire de la surface de la boîte?
- Choices: A) 108 B) 96 C) 72 D) 90
- Hint: Surface area = 2(lw + lh + wh).
- Steps:
- 2(6×4 + 6×3 + 4×3) = 2(24 + 18 + 12) = 2(54) = 108.
- Surface area = 108 cm².
- Answer: 108
[Medium] One-Step Linear Equation
- EN: Solve for y: 4y = 52
- FR: Résous pour y: 4y = 52
- Choices: A) 12 B) 14 C) 13 D) 15
- Hint: Divide both sides by 4.
- Steps:
- y = 52 ÷ 4 = 13.
- y = 13.
- Answer: 13
[Medium] Tip Calculation
- EN: A restaurant bill is $48. You want to leave a 15% tip. How much is the tip?
- FR: Une facture de restaurant est de 48 $. Tu veux laisser un pourboire de 15%. Quel est le montant du pourboire?
- Choices: A) 6.40 B) 7.20 C) 7.00 D) 8.00
- Hint: Find 15% of $48.
- Steps:
- 10% of 48 = 4.80; 5% of 48 = 2.40.
- 4.80 + 2.40 = 7.20.
- Answer: 7.20
[Medium] Integer Multiplication
- EN: A diver descends 8 m per minute for 6 minutes. What is the diver's depth? (Use a negative number.)
- FR: Un plongeur descend de 8 m par minute pendant 6 minutes. Quelle est la profondeur du plongeur? (Utilise un nombre négatif.)
- Choices: A) −40 B) −56 C) −48 D) −42
- Hint: Multiply the rate by the time. Descending is negative.
- Steps:
- −8 × 6 = −48.
- The diver is at −48 m.
- Answer: -48
[Hard] Multi-Step Percent Problem
- EN: A sweater originally costs $75. It is discounted 20%, and then an additional 10% is taken off the sale price. What is the final price?
- FR: Un chandail coûte 75 $ à l'origine. Il est réduit de 20%, puis une réduction supplémentaire de 10% est appliquée au prix de vente. Quel est le prix final?
- Choices: A) 52.00 B) 54.00 C) 56.25 D) 48.00
- Hint: Apply the discounts one at a time — don't add the percentages.
- Steps:
- After 20% off: 75 × 0.80 = 60.
- After additional 10% off: 60 × 0.90 = 54.
- Answer: 54
[Hard] Surface Area — Triangular Prism
- EN: A triangular prism has two triangular faces (base 4 cm, height 3 cm) and three rectangular faces (4 cm × 10 cm, 3 cm × 10 cm, and 5 cm × 10 cm). What is the total surface area?
- FR: Un prisme triangulaire a deux faces triangulaires (base 4 cm, hauteur 3 cm) et trois faces rectangulaires (4 cm × 10 cm, 3 cm × 10 cm et 5 cm × 10 cm). Quelle est l'aire de surface totale?
- Choices: A) 132 B) 144 C) 136 D) 150
- Hint: Add the areas of all 5 faces.
- Steps:
- Two triangles: 2 × (1/2 × 4 × 3) = 12.
- Three rectangles: 40 + 30 + 50 = 120.
- Total: 12 + 120 = 132 cm².
- Answer: 132
[Hard] Probability — Two Events
- EN: You flip a coin and roll a 6-sided die. What is the probability of getting heads AND a 4? (Give the denominator of the probability fraction.)
- FR: Tu lances une pièce et un dé à 6 faces. Quelle est la probabilité d'obtenir pile ET un 4? (Donne le dénominateur de la fraction de probabilité.)
- Choices: A) 6 B) 8 C) 10 D) 12
- Hint: Multiply the individual probabilities. What is the total number of outcomes?
- Steps:
- Total outcomes = 2 × 6 = 12.
- P(heads and 4) = 1/12. Denominator = 12.
- Answer: 12
[Hard] Two-Step Linear Equation
- EN: Solve for x: 3x − 7 = 20
- FR: Résous pour x: 3x − 7 = 20
- Choices: A) 8 B) 10 C) 9 D) 7
- Hint: First add 7 to both sides, then divide by 3.
- Steps:
- 3x = 20 + 7 = 27.
- x = 27 ÷ 3 = 9.
- Answer: 9
Grade 8 Problems
[Easy] Perfect Squares
- EN: What is the square root of 144?
- FR: Quelle est la racine carrée de 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] Two-Step Equation
- EN: Solve for x: 2x + 5 = 17
- FR: Résous pour x: 2x + 5 = 17
- Choices: A) 7 B) 5 C) 6 D) 8
- Hint: Subtract 5 from both sides first, then divide by 2.
- Steps:
- 2x = 17 − 5 = 12.
- x = 12 ÷ 2 = 6.
- Answer: 6
[Easy] Mean
- EN: Five students scored: 70, 80, 90, 60, 50. What is the mean score?
- FR: Cinq élèves ont obtenu: 70, 80, 90, 60, 50. Quel est le score moyen?
- Choices: A) 68 B) 72 C) 70 D) 75
- Hint: Add all scores and divide by the number of students.
- Steps:
- Sum = 70 + 80 + 90 + 60 + 50 = 350.
- Mean = 350 ÷ 5 = 70.
- Answer: 70
[Easy] Percent Increase
- EN: A hockey player scored 20 goals last year and 25 this year. What is the percent increase?
- FR: Un joueur de hockey a marqué 20 buts l'an dernier et 25 cette année. Quel est le pourcentage d'augmentation?
- Choices: A) 20 B) 30 C) 25 D) 15
- Hint: Percent increase = (change ÷ original) × 100.
- Steps:
- Change = 25 − 20 = 5.
- Percent increase = (5 ÷ 20) × 100 = 25%.
- Answer: 25
[Easy] Pythagorean Theorem — Finding 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 jambes de 3 cm et 4 cm. Quelle est la longueur de l'hypoténuse?
- Choices: A) 6 B) 7 C) 5 D) 4
- Hint: Use a² + b² = c².
- Steps:
- 3² + 4² = 9 + 16 = 25.
- √25 = 5 cm.
- Answer: 5
[Medium] Two-Step Equation with Fractions
- EN: Solve for x: x/3 + 4 = 9
- FR: Résous pour x: x/3 + 4 = 9
- Choices: A) 12 B) 18 C) 15 D) 21
- Hint: Subtract 4 from both sides, then multiply by 3.
- Steps:
- x/3 = 9 − 4 = 5.
- x = 5 × 3 = 15.
- Answer: 15
[Medium] Slope Introduction
- EN: A line passes through (0, 2) and (4, 10). What is the slope of the line?
- FR: Une droite passe par (0, 2) et (4, 10). Quelle est la pente de la droite?
- Choices: A) 3 B) 1 C) 4 D) 2
- Hint: Slope = rise ÷ run = (y₂ − y₁) ÷ (x₂ − x₁).
- Steps:
- Rise = 10 − 2 = 8; Run = 4 − 0 = 4.
- Slope = 8 ÷ 4 = 2.
- Answer: 2
[Medium] Median
- EN: Find the median of this data set: 3, 7, 9, 5, 11, 2, 8.
- FR: Trouve la médiane de cet ensemble de données: 3, 7, 9, 5, 11, 2, 8.
- Choices: A) 7 B) 5 C) 9 D) 8
- Hint: First order the numbers from least to greatest, then find the middle value.
- Steps:
- Ordered: 2, 3, 5, 7, 8, 9, 11.
- Middle value (4th) = 7.
- Answer: 7
[Medium] Percent Decrease
- EN: A store reduces the price of a backpack from $50 to $35. What is the percent decrease?
- FR: Un magasin réduit le prix d'un sac à dos de 50 $ à 35 $. Quel est le pourcentage de diminution?
- Choices: A) 25 B) 35 C) 30 D) 20
- Hint: Percent decrease = (change ÷ original) × 100.
- Steps:
- Change = 50 − 35 = 15.
- 15 ÷ 50 × 100 = 30%.
- Answer: 30
[Medium] Square Roots
- EN: Between which two consecutive whole numbers does √50 lie? (Give the smaller number.)
- FR: Entre quels deux entiers consécutifs se trouve √50? (Donne le plus petit entier.)
- Choices: A) 6 B) 8 C) 5 D) 7
- Hint: Find the perfect squares closest to 50.
- Steps:
- 7² = 49 and 8² = 64.
- √50 is between 7 and 8. The smaller number is 7.
- Answer: 7
[Medium] Two-Step Equation — Negative
- EN: Solve for n: −3n + 6 = −9
- FR: Résous pour n: −3n + 6
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