Daily Math — 2026-06-24
Grade 1 Problems
[Easy] Counting Apples at the Market
- EN: There are 7 apples in a basket. 3 more are added. How many apples are there now?
- FR: Il y a 7 pommes dans un panier. On en ajoute 3 de plus. Combien y a-t-il de pommes maintenant?
- Choices: A) 9 B) 10 C) 11 D) 8
- Hint: When we add, we count on from the bigger number. For example, 5 + 2: start at 5 and count on 2 more — 6, 7. The answer is 7!
- Steps:
- Step 1: Try 6 + 3. Start at 6 and count on 3: 7, 8, 9.
- Step 2: Adding means joining groups together. Count on from the bigger number to find the total.
- Answer: 10
[Easy] Hockey Cards
- EN: Liam has 9 hockey cards. He gives away 4. How many does he have left?
- FR: Liam a 9 cartes de hockey. Il en donne 4. Combien lui en reste-t-il?
- Choices: A) 4 B) 6 C) 5 D) 3
- Hint: Subtracting means taking away. For example, 8 − 3: start at 8 and count back 3 — 7, 6, 5. The answer is 5!
- Steps:
- Step 1: Try 10 − 4. Start at 10 and count back 4: 9, 8, 7, 6.
- Step 2: Subtracting means removing items. Count backwards to find what's left.
- Answer: 5
[Easy] Skip Counting by 2s
- EN: Skip count by 2s. What number comes after 12? 2, 4, 6, 8, 10, 12, ___
- FR: Compte par bonds de 2. Quel nombre vient après 12? 2, 4, 6, 8, 10, 12, ___
- Choices: A) 13 B) 15 C) 14 D) 16
- Hint: Skip counting by 2s means adding 2 each time. For example, after 6 comes 6 + 2 = 8. After 8 comes 8 + 2 = 10!
- Steps:
- Step 1: Try skip counting from 4: 4, 6, 8. Each time we add 2.
- Step 2: Find the next number by adding 2 to the last number given.
- Answer: 14
[Easy] Counting Nickels
- EN: Maya has 3 nickels. How many cents does she have in total?
- FR: Maya a 3 pièces de 5 cents. Combien de cents a-t-elle en tout?
- Choices: A) 10 B) 20 C) 15 D) 3
- Hint: A nickel is worth 5 cents. Count by 5s! For example, 2 nickels: 5, 10 — that's 10 cents.
- Steps:
- Step 1: Try 4 nickels: 5, 10, 15, 20 cents.
- Step 2: Each nickel = 5 cents. Skip count by 5s, one jump per nickel.
- Answer: 15
[Medium] Snowflakes on the Window
- EN: There are 15 snowflakes on a window. 6 melt away. How many are left?
- FR: Il y a 15 flocons de neige sur une fenêtre. 6 fondent. Combien en reste-t-il?
- Choices: A) 10 B) 8 C) 9 D) 11
- Hint: Subtract by counting back from the bigger number. For example, 12 − 5: start at 12, count back 5 — 11, 10, 9, 8, 7. Answer is 7!
- Steps:
- Step 1: Try 14 − 6. Start at 14, count back 6: 13, 12, 11, 10, 9, 8.
- Step 2: Subtraction = counting backwards. Count back the number being taken away.
- Answer: 9
[Medium] Tim Hortons Timbits
- EN: There are 8 Timbits in a box. Mom buys 8 more. How many Timbits are there now?
- FR: Il y a 8 Timbits dans une boîte. Maman en achète 8 de plus. Combien y a-t-il de Timbits maintenant?
- Choices: A) 14 B) 15 C) 17 D) 16
- Hint: Adding the same number twice is a doubles fact! For example, 6 + 6 = 12. Try to remember your doubles!
- Steps:
- Step 1: Try 7 + 7. That's a double: 7 + 7 = 14.
- Step 2: Doubles facts are quick to learn. When both numbers are the same, double the number!
- Answer: 16
[Medium] Comparing Numbers
- EN: Which number is bigger: 14 or 19?
- FR: Quel nombre est le plus grand: 14 ou 19?
- Choices: A) 14 B) 16 C) 19 D) 17
- Hint: Look at the tens digit first. For example, 13 vs. 17 — both have 1 ten, but 17 has more ones (7 > 3), so 17 is bigger!
- Steps:
- Step 1: Compare 11 and 15. Both start with 1 ten. But 15 has 5 ones and 11 has 1 one. So 15 is bigger.
- Step 2: Compare the ones digits when tens are the same. The number with more ones is greater.
- Answer: 19
[Medium] Skip Counting by 10s
- EN: Skip count by 10s. What number comes next? 10, 20, 30, ___
- FR: Compte par bonds de 10. Quel nombre vient ensuite? 10, 20, 30, ___
- Choices: A) 35 B) 50 C) 31 D) 40
- Hint: Skip counting by 10s means adding 10 each time. For example, after 50 comes 50 + 10 = 60!
- Steps:
- Step 1: Try: 20, 30, 40. Each step adds 10.
- Step 2: Add 10 to the last number to find the next one in the pattern.
- Answer: 40
[Hard] Maple Syrup Jars
- EN: A farmer has 12 jars of maple syrup. He sells 5 in the morning and 4 in the afternoon. How many jars does he have left?
- FR: Un fermier a 12 pots de sirop d'érable. Il en vend 5 le matin et 4 l'après-midi. Combien lui en reste-t-il?
- Choices: A) 2 B) 4 C) 3 D) 5
- Hint: When we take away twice, we subtract two times. For example, 10 − 3 − 2: first 10 − 3 = 7, then 7 − 2 = 5!
- Steps:
- Step 1: Try 11 − 4 − 3. First: 11 − 4 = 7. Then: 7 − 3 = 4.
- Step 2: Subtract one number at a time, using the result as the new starting number.
- Answer: 3
[Hard] Camping Tent Pegs
- EN: There are 6 tents at a campsite. Each tent needs 2 pegs. How many pegs are needed in all?
- FR: Il y a 6 tentes au camping. Chaque tente a besoin de 2 piquets. Combien de piquets faut-il en tout?
- Choices: A) 8 B) 14 C) 10 D) 12
- Hint: Equal groups means we can skip count! For example, 4 tents with 2 pegs each: 2, 4, 6, 8. We need 8 pegs!
- Steps:
- Step 1: Try 5 tents with 2 pegs each. Skip count by 2s five times: 2, 4, 6, 8, 10.
- Step 2: Count by 2s once for each tent to find the total number of pegs.
- Answer: 12
Grade 2 Problems
[Easy] Snowfall in January
- EN: It snowed 23 cm on Monday and 14 cm on Tuesday. How many centimetres of snow fell in total?
- FR: Il a neigé 23 cm lundi et 14 cm mardi. Combien de centimètres de neige est-il tombé en tout?
- Choices: A) 35 B) 38 C) 37 D) 36
- Hint: Add the ones first, then the tens. For example, 21 + 15: ones 1 + 5 = 6, tens 2 + 1 = 3. Answer: 36!
- Steps:
- Step 1: Try 31 + 12. Ones: 1 + 2 = 3. Tens: 3 + 1 = 4. Answer: 43.
- Step 2: Always add ones column first, then tens column. Write the digits side by side.
- Answer: 37
[Easy] Telling Time — Hockey Practice
- EN: Hockey practice starts at 3 o'clock. The clock shows the hour hand on 3 and the minute hand on 12. What time is it?
- FR: La pratique de hockey commence à 3 heures. L'aiguille des heures est sur le 3 et l'aiguille des minutes est sur le 12. Quelle heure est-il?
- Choices: A) 12 B) 6 C) 3 D) 9
- Hint: When the minute hand points to 12, it is exactly on the hour. For example, hour hand on 7 and minute hand on 12 means 7 o'clock!
- Steps:
- Step 1: If the hour hand points to 5 and the minute hand points to 12, the time is 5 o'clock.
- Step 2: The hour hand tells the hour. The minute hand on 12 means zero minutes — exactly on the hour.
- Answer: 3
[Easy] Coins at the Store
- EN: Ava has 2 dimes and 3 nickels. How many cents does she have in total?
- FR: Ava a 2 pièces de 10 cents et 3 pièces de 5 cents. Combien de cents a-t-elle en tout?
- Choices: A) 30 B) 25 C) 35 D) 20
- Hint: A dime = 10 cents, a nickel = 5 cents. For example, 1 dime + 2 nickels = 10 + 5 + 5 = 20 cents!
- Steps:
- Step 1: Try 3 dimes + 1 nickel = 10 + 10 + 10 + 5 = 35 cents.
- Step 2: Find the value of each type of coin, then add all amounts together.
- Answer: 35
[Easy] Measuring a Pencil
- EN: A pencil is 15 cm long. An eraser is 3 cm long. How much longer is the pencil than the eraser?
- FR: Un crayon mesure 15 cm de long. Une gomme mesure 3 cm de long. De combien de centimètres le crayon est-il plus long que la gomme?
- Choices: A) 11 B) 13 C) 18 D) 12
- Hint: "How much longer" means we subtract the smaller from the bigger. For example, 18 cm − 5 cm = 13 cm longer.
- Steps:
- Step 1: Try 17 − 4 = 13. The bigger number minus the smaller number gives the difference.
- Step 2: Subtract to find the difference in length between two objects.
- Answer: 12
[Medium] Subtraction at the Bakery
- EN: A bakery has 85 muffins. They sell 47 muffins. How many muffins are left?
- FR: Une boulangerie a 85 muffins. Elle en vend 47. Combien de muffins reste-t-il?
- Choices: A) 48 B) 37 C) 38 D) 42
- Hint: Subtract ones first — if you can't, regroup! For example, 73 − 46: 3 − 6 needs regrouping. Borrow 1 ten: 13 − 6 = 7, then 6 − 4 = 2. Answer: 27.
- Steps:
- Step 1: Try 62 − 35. Ones: 2 − 5, can't do it! Regroup: 12 − 5 = 7. Tens: 5 − 3 = 2. Answer: 27.
- Step 2: When the top ones digit is smaller, borrow 1 ten from the tens column and add 10 to the ones.
- Answer: 38
[Medium] Telling Time — Half Hour
- EN: School ends at half past 2. What number represents the minutes when we say "half past"?
- FR: L'école se termine à 2 h 30. Quel nombre représente les minutes quand on dit «et demie»?
- Choices: A) 15 B) 45 C) 60 D) 30
- Hint: "Half past" means halfway around the clock. Half of 60 minutes = 30 minutes. For example, half past 4 means 4:30!
- Steps:
- Step 1: A full clock = 60 minutes. Half of 60 = 30.
- Step 2: "Half past" always means 30 minutes after the hour. The minute hand points to the 6.
- Answer: 30
[Medium] Number Pattern
- EN: What number comes next in the pattern? 5, 10, 15, 20, ___
- FR: Quel nombre vient ensuite dans le modèle? 5, 10, 15, 20, ___
- Choices: A) 22 B) 30 C) 25 D) 21
- Hint: Find the rule by looking at how much the numbers grow each time. For example, 3, 6, 9, 12 — each number grows by 3!
- Steps:
- Step 1: Try 4, 8, 12, 16. The pattern adds 4 each time. Next would be 16 + 4 = 20.
- Step 2: Subtract two neighbouring numbers to find the rule, then add that rule to the last number.
- Answer: 25
[Medium] Loonies and Dimes
- EN: Ben has 3 dimes. He needs 50 cents to buy a sticker. How many more cents does he need?
- FR: Ben a 3 pièces de 10 cents. Il a besoin de 50 cents pour acheter un autocollant. Combien de cents de plus lui faut-il?
- Choices: A) 25 B) 15 C) 20 D) 30
- Hint: Find how much he has first, then subtract from what he needs. For example, if you have 20 cents and need 60 cents: 60 − 20 = 40 cents more.
- Steps:
- Step 1: Try 4 dimes = 40 cents. If he needs 70 cents: 70 − 40 = 30 cents more.
- Step 2: Count the coins to find the total, then subtract from the goal amount.
- Answer: 20
[Hard] Measuring Length in Metres
- EN: A hallway is 8 metres long. A classroom is 3 times as long as the hallway. How many metres long is the classroom?
- FR: Un couloir mesure 8 mètres de long. Une salle de classe est 3 fois plus longue que le couloir. Combien de mètres mesure la salle de classe?
- Choices: A) 11 B) 24 C) 32 D) 28
- Hint: "3 times as long" means we add the length 3 times! For example, a path is 5 m. A road is 3 times as long: 5 + 5 + 5 = 15 m.
- Steps:
- Step 1: Try: a fence is 6 m. A wall is 3 times as long: 6 + 6 + 6 = 18 m.
- Step 2: "Times as long" means repeated addition. Add the length as many times as stated.
- Answer: 24
[Hard] Camp Spending
- EN: Emma has 75 cents. She buys a bookmark for 38 cents and a pencil for 25 cents. How many cents does she have left?
- FR: Emma a 75 cents. Elle achète un signet pour 38 cents et un crayon pour 25 cents. Combien de cents lui reste-t-il?
- Choices: A) 10 B) 14 C) 12 D) 16
- Hint: When spending twice, add both costs first, then subtract from the total. For example, you have 80 cents, spend 22 cents and 30 cents: 22 + 30 = 52, then 80 − 52 = 28 cents left.
- Steps:
- Step 1: Try: have 90 cents, spend 45 cents + 30 cents. 45 + 30 = 75. Then 90 − 75 = 15 cents left.
- Step 2: Add the two costs together first, then subtract the total cost from the money you started with.
- Answer: 12
Grade 3 Problems
[Easy] Multiplication — Maple Syrup Bottles
- EN: A store puts 5 bottles of maple syrup in each box. There are 4 boxes. How many bottles are there in total?
- FR: Un magasin met 5 bouteilles de sirop d'érable dans chaque boîte. Il y a 4 boîtes. Combien y a-t-il de bouteilles en tout?
- Choices: A) 9 B) 25 C) 20 D) 16
- Hint: Multiplication is repeated addition. For example, 3 × 4 means 4 + 4 + 4 = 12. Count by the group size!
- Steps:
- Step 1: Try 3 × 5: add 5 three times: 5 + 5 + 5 = 15.
- Step 2: Multiply by skip counting. Count by the number in each group, as many times as there are groups.
- Answer: 20
[Easy] Fractions — Sharing Pizza
- EN: A pizza is cut into 4 equal slices. Emma eats 1 slice. What fraction of the pizza did she eat?
- FR: Une pizza est coupée en 4 parts égales. Emma mange 1 part. Quelle fraction de la pizza a-t-elle mangée?
- Choices: A) 1/2 B) 1/3 C) 2/4 D) 1/4
- Hint: A fraction shows part of a whole. The bottom number is how many equal parts total. The top number is how many you have. For example, 1 out of 3 equal parts = 1/3!
- Steps:
- Step 1: A chocolate bar is split into 2 equal pieces. You eat 1 piece. That's 1 out of 2 = 1/2.
- Step 2: Write the total parts on the bottom (denominator) and the parts taken on the top (numerator).
- Answer: 1/4
[Easy] Skip Counting — Multiplication Table of 2
- EN: What is 2 × 8?
- FR: Combien fait 2 × 8?
- Choices: A) 14 B) 18 C) 10 D) 16
- Hint: The 2 times table means skip counting by 2s. For example, 2 × 5: skip count 5 times: 2, 4, 6, 8, 10. Answer is 10!
- Steps:
- Step 1: Try 2 × 6: skip count 6 times: 2, 4, 6, 8, 10, 12. Answer: 12.
- Step 2: Multiplying by 2 always gives an even number. Skip count by 2s the right number of times.
- Answer: 16
[Easy] Perimeter of a Rectangle
- EN: A rectangular garden has a length of 5 m and a width of 3 m. What is the perimeter?
- FR: Un jardin rectangulaire a une longueur de 5 m et une largeur de 3 m. Quel est le périmètre?
- Choices: A) 15 B) 14 C) 18 D) 16
- Hint: Perimeter means adding all sides. For a rectangle, add: length + width + length + width. For example, 4 m + 2 m + 4 m + 2 m = 12 m!
- Steps:
- Step 1: Try a rectangle with length 6 m and width 2 m: 6 + 2 + 6 + 2 = 16 m.
- Step 2: A rectangle has 4 sides — two lengths and two widths. Add them all together.
- Answer: 16
[Medium] Division — Sharing Timbits
- EN: There are 24 Timbits shared equally among 3 friends. How many does each friend get?
- FR: Il y a 24 Timbits partagés également entre 3 amis. Combien chaque ami en reçoit-il?
- Choices: A) 6 B) 9 C) 8 D) 7
- Hint: Division is sharing equally. Ask: how many times does 3 go into 24? Use your multiplication table backwards. For example, 15 ÷ 3: 3 × ? = 15 → 3 × 5 = 15, so answer is 5!
- Steps:
- Step 1: Try 18 ÷ 3. Think: 3 × ? = 18. 3 × 6 = 18. So 18 ÷ 3 = 6.
- Step 2: Think of the matching multiplication fact to solve a division problem.
- Answer: 8
[Medium] Multiplication — Tables of 4
- EN: A hockey team has 4 lines and each line has 5 players. How many players are on the team?
- FR: Une équipe de hockey a 4 trios et chaque trio a 5 joueurs. Combien de joueurs y a-t-il dans l'équipe?
- Choices: A) 9 B) 24 C) 20 D) 16
- Hint: Multiply to find the total in equal groups. For example, 3 lines × 6 players = 6 + 6 + 6 = 18 players!
- Steps:
- Step 1: Try 4 × 3: 3 + 3 + 3 + 3 = 12.
- Step 2: Use repeated addition or your times tables. 4 × 5 means 4 groups of 5.
- Answer: 20
[Medium] Reading a Bar Graph
- EN: A bar graph shows: Hockey 8 students, Soccer 5 students, Basketball 7 students. How many more students like hockey than soccer?
- FR: Un diagramme à bandes montre: Hockey 8 élèves, Soccer 5 élèves, Basketball 7 élèves. Combien d'élèves de plus aiment le hockey que le soccer?
- Choices: A) 4 B) 2 C) 1 D) 3
- Hint: "How many more" means subtract! For example, if Reading has 9 students and Art has 6 students: 9 − 6 = 3 more students like reading!
- Steps:
- Step 1: Try: Painting has 10 students, Drawing has 7 students. 10 − 7 = 3 more for painting.
- Step 2: Read each bar's value, then subtract the smaller from the larger to find the difference.
- Answer: 3
[Medium] Fractions — Half of a Group
- EN: There are 10 stickers. Half of them are stars. How many stickers are stars?
- FR: Il y a 10 autocollants. La moitié d'entre eux sont des étoiles. Combien d'autocollants sont des étoiles?
- Choices: A) 4 B) 6 C) 5 D) 2
- Hint: To find 1/2 of a number, divide it by 2. For example, 1/2 of 8: 8 ÷ 2 = 4!
- Steps:
- Step 1: Find 1/2 of 12: 12 ÷ 2 = 6.
- Step 2: "Half of" means divide by 2. Split the group into 2 equal parts and count one part.
- Answer: 5
[Hard] Multi-Step — Camp Supplies
- EN: A camp store has 5 boxes of granola bars with 10 bars each. Kids eat 18 bars. How many granola bars are left?
- FR: Un magasin de camp a 5 boîtes de barres granola avec 10 barres chacune. Les enfants en mangent 18. Combien de barres granola reste-t-il?
- Choices: A) 28 B) 30 C) 33 D: 32
- Hint: First find the total, then subtract. For example, 3 boxes × 4 bars each = 12 bars total. Then if 5 are eaten: 12 − 5 = 7 bars left!
- Steps:
- Step 1: Try 4 boxes × 5 bars = 20 bars total. If 8 are eaten: 20 − 8 = 12 left.
- Step 2: Multiply first to find the total, then subtract the amount used/eaten.
- Answer: 32
[Hard] Perimeter — School Garden
- EN: A square garden has a perimeter of 28 m. What is the length of one side?
- FR: Un jardin carré a un périmètre de 28 m. Quelle est la longueur d'un côté?
- Choices: A) 8 B) 6 C) 9 D) 7
- Hint: A square has 4 equal sides. If you know the perimeter, divide by 4 to find one side. For example, perimeter = 20 m: 20 ÷ 4 = 5 m per side!
- Steps:
- Step 1: Try perimeter = 24 m. 24 ÷ 4 = 6. Each side is 6 m.
- Step 2: For a square, all 4 sides are equal. Divide the total perimeter by 4 to find one side's length.
- Answer: 7
Grade 4 Problems
[Easy] Multiplication — School Supplies
- EN: A teacher buys 6 packs of pencils. Each pack has 8 pencils. How many pencils are there in total?
- FR: Un enseignant achète 6 paquets de crayons. Chaque paquet contient 8 crayons. Combien y a-t-il de crayons en tout?
- Choices: A) 42 B) 54 C) 48 D) 56
- Hint: Use your multiplication table! For example, 5 × 7: think of 5 groups of 7. 5 × 7 = 35. Practice your facts to recall them quickly!
- Steps:
- Step 1: Try 7 × 6. Think: 7 groups of 6: 6, 12, 18, 24, 30, 36, 42. Or recall 7 × 6 = 42.
- Step 2: Memorize your times tables up to 9 × 9. Each multiplication fact is a shortcut for repeated addition.
- Answer: 48
[Easy] Decimal Place Value
- EN: What is the value of the digit 3 in the number 45.37?
- FR: Quelle est la valeur du chiffre 3 dans le nombre 45,37?
- Choices: A) 3 B) 0.03 C) 30 D) 0.3
- Hint: After the decimal point, the first place is tenths (÷10). For example, in 12.56, the 5 is in the tenths place, so its value is 0.5!
- Steps:
- Step 1: In 27.84, the 8 is right after the decimal → tenths place → value = 0.8.
- Step 2: First digit after decimal = tenths. Its value = digit ÷ 10. Write it as 0.digit.
- Answer: 0.3
[Easy] Area of a Rectangle
- EN: A hockey rink storage room is 7 m long and 4 m wide. What is the area?
- FR: La salle de rangement d'une patinoire mesure 7 m de long et 4 m de large. Quelle est l'aire?
- Choices: A) 22 B) 24 C) 28 D) 32
- Hint: Area of a rectangle = length × width. For example, a room 5 m × 3 m has area = 5 × 3 = 15 m²!
- Steps:
- Step 1: Try a room 6 m × 5 m: area = 6 × 5 = 30 m².
- Step 2: Multiply length by width to find the total area. Area is measured in square units.
- Answer: 28
[Easy] Long Division — No Remainder
- EN: 56 ÷ 7 = ?
- FR: 56 ÷ 7 = ?
- Choices: A) 6 B) 9 C) 7 D) 8
- Hint: Use the related multiplication fact! Ask: 7 × ? = 56. For example, 7 × ? = 42 → 7 × 6 = 42, so 42 ÷ 7 = 6!
- Steps:
- Step 1: Try 63 ÷ 9. Think: 9 × ? = 63. 9 × 7 = 63. So 63 ÷ 9 = 7.
- Step 2: Division and multiplication are opposites. Use your times table to find the missing factor.
- Answer: 8
[Medium] Long Division with Remainder
- EN: 75 cookies are shared equally among 8 students. How many cookies does each student get, and how many are left over?
- FR: 75 biscuits sont partagés également entre 8 élèves. Combien de biscuits chaque élève reçoit-il et combien en reste-t-il?
- Choices: A) 8 remainder 11 B) 9 remainder 3 C) 9 remainder 5 D) 8 remainder 5
- Hint: Divide and find the remainder. For example, 29 ÷ 4: 4 × 7 = 28, so quotient = 7 and remainder = 29 − 28 = 1!
- Steps:
- Step 1: Try 38 ÷ 5. 5 × 7 = 35. So quotient = 7. Remainder = 38 − 35 = 3.
- Step 2: Find the biggest multiple of the divisor that fits, then subtract to find the remainder.
- Answer: 9 remainder 3
[Medium] Comparing Fractions
- EN: Which fraction is larger: 3/4 or 2/4?
- FR: Quelle fraction est la plus grande: 3/4 ou 2/4?
- Choices: A) 2/4 B) They are equal C) 3/4 D) Cannot tell
- Hint: When denominators are the same, compare numerators. For example, 5/8 vs. 3/8 — same bottom number, so 5 > 3, meaning 5/8 > 3/8!
- Steps:
- Step 1: Compare 4/7 vs. 2/7. Both have 7 on the bottom. 4 > 2, so 4/7 > 2/7.
- Step 2: Same denominator means same-sized pieces. More pieces = bigger fraction. Compare only the numerators.
- Answer: 3/4
[Medium] Elapsed Time
- EN: A hockey game starts at 1:15 PM and ends at 3:45 PM. How many minutes long is the game?
- FR: Un match de hockey commence à 13 h 15 et se termine à 15 h 45. Combien de minutes dure le match?
- Choices: A) 120 B) 130 C) 150 D) 140
- Hint: Count up to find elapsed time! For example, from 2:20 to 4:50 — count 40 min to 3:00, then 1 hour 50 min more = 2 hours 30 min = 150 min total.
- Steps:
- Step 1: Try 10:10 to 12:40. From 10:10 to 12:10 = 2 hours. From 12:10 to 12:40 = 30 min. Total = 2 h 30 min = 150 min.
- Step 2: Count up by hours first, then minutes. Convert hours to minutes (× 60) and add leftover minutes.
- Answer: 150
[Medium] Decimal Operations
- EN: A loaf of bread costs $2.45 and a jar of jam costs $3.20. How much do they cost together?
- FR: Un pain coûte 2,45 $ et un pot de confiture coûte 3,20 $. Combien coûtent-ils ensemble?
- Choices: A) 5.55 B) 5.75 C) 5.60 D) 5.65
- Hint: Line up the decimal points and add normally! For example, $1.35 + $2.40: ones: 1+2=3, tenths: 3+4=7, hundredths: 5+0=5. Total = $3.75.
- Steps:
- Step 1: Try $4.15 + $2.30. Hundredths: 5+0=5. Tenths: 1+3=4. Ones: 4+2=6. Answer: $6.45.
- Step 2: Always line up decimal points when adding decimals. Then add each column like regular addition.
- Answer: 5.65
[Hard] Multi-Step Multiplication and Division
- EN: A school orders 9 boxes of notebooks. Each box has 24 notebooks. They distribute them equally to 6 classrooms. How many notebooks does each classroom get?
- FR: Une école commande 9 boîtes de cahiers. Chaque boîte contient 24 cahiers. Ils les distribuent également dans 6 classes. Combien de cahiers chaque classe reçoit-elle?
- Choices: A) 38 B) 42 C) 36 D) 40
- Hint: First multiply to find the total, then divide. For example, 4 boxes × 12 items = 48 items. Share among 6 groups: 48 ÷ 6 = 8 per group!
- Steps:
- Step 1: Try 6 boxes × 15 items = 90 items. Shared among 5 groups: 90 ÷ 5 = 18 per group.
- Step 2: Multiply first to get total, then divide by number of groups to share equally.
- Answer: 36
[Hard] Decimal Subtraction — Money
- EN: Jasmine has $20.00. She buys a book for $7.85 and a pen for $4.65. How much money does she have left?
- FR: Jasmine a 20,00 $. Elle achète un livre pour 7,85 $ et un stylo pour 4,65 $. Combien d'argent lui reste-t-il?
- Choices: A) 7.50 B) 7.25 C) 8.00 D) 6.75
- Hint: Add the two prices first, then subtract from the total. For example, spend $3.25 + $5.50 = $8.75. From $15.00: $15.00 − $8.75 = $6.25 left.
- Steps:
- Step 1: Try spend $6.40 + $3.20 = $9.60. From $20.00: $20.00 − $9.60 = $10.40 left.
- Step 2: Add costs together, then subtract the total spending from the starting amount. Mind the decimal places!
- Answer: 7.50
Grade 5 Problems
[Easy] Multi-Digit Multiplication
- EN: A hockey arena has 24 rows of seats. Each row has 35 seats. How many seats are in the arena?
- FR: Une aréna de hockey a 24 rangées de sièges. Chaque rangée a 35 sièges. Combien y a-t-il de sièges dans l'aréna?
- Choices: A) 820 B) 840 C) 860 D) 800
- Hint: For multi-digit multiplication, break it apart! For example, 23 × 12: (20 × 12) + (3 × 12) = 240 + 36 = 276!
- Steps:
- Step 1: Try 22 × 14: (20 × 14) + (2 × 14) = 280 + 28 = 308.
- Step 2: Split one number into tens and ones, multiply each part, then add the results together.
- Answer: 840
[Easy] Adding Fractions with Like Denominators
- EN: Sophie eats 2/8 of a pie at lunch and 3/8 at dinner. How much pie did she eat in total?
- FR: Sophie mange 2/8 d'une tarte au dîner et 3/8 au souper. Quelle fraction de tarte a-t-elle mangée en tout?
- Choices: A) 5/16 B) 6/8 C) 4/8 D) 5/8
- Hint: When denominators are the same, just add the numerators! For example, 3/7 + 2/7 = (3+2)/7 = 5/7. Keep the denominator the same!
- Steps:
- Step 1: Try 2/9 + 4/9 = (2+4)/9 = 6/9.
- Step 2: Keep the denominator unchanged. Add only the numerators (top numbers) together.
- Answer: 5/8
[Easy] Decimal Operations — Tim Hortons
- EN: A coffee costs $2.15 and a muffin costs $1.85. What is the total cost?
- FR: Un café coûte 2,15 $ et un muffin coûte 1,85 $. Quel est le coût total?
- Choices: A) 3.90 B) 4.10 C) 4.00 D) 3.95
- Hint: Line up decimals and add column by column. For example, $3.45 + $1.55: hundredths: 5+5=10, carry 1; tenths: 4+5+1=10, carry 1; ones: 3+1+1=5. Total: $5.00!
- Steps:
- Step 1: Try $2.60 + $1.40. Hundredths: 0+0=0. Tenths: 6+4=10, write 0, carry 1. Ones: 2+1+1=4. Total: $4.00.
- Step 2: Line up decimal points, add each column right to left, carry when needed.
- Answer: 4.00
[Easy] Percentage — 50%
- EN: A winter jacket costs $80. It is on sale for 50% off. How much is saved?
- FR: Un manteau d'hiver coûte 80 $. Il est en vente avec 50 % de rabais. Combien économise-t-on?
- Choices: A) 50 B) 30 C) 40 D) 45
- Hint: 50% means half. To find 50% of a number, divide it by 2! For example, 50% of $60 = $60 ÷ 2 = $30!
- Steps:
- Step 1: 50% of $44 = $44 ÷ 2 = $22.
- Step 2: 50% always means one half. Just divide the number by 2.
- Answer: 40
[Medium] Multi-Digit Division
- EN: 378 students are divided into groups of 9 for a school field trip. How many groups are there?
- FR: 378 élèves sont répartis en groupes de 9 pour une sortie scolaire. Combien y a-t-il de groupes?
- Choices: A) 40 B) 44 C) 42 D) 38
- Hint: For long division, divide step by step. For example, 126 ÷ 3: 12 ÷ 3 = 4 (hundreds/tens), bring down 6: 6 ÷ 3 = 2. Answer: 42!
- Steps:
- Step 1: Try 252 ÷ 9. 9 goes into 25 twice (18), remainder 7. Bring down 2: 72 ÷ 9 = 8. Answer: 28.
- Step 2: In long division, work left to right one group of digits at a time, bringing down the next digit each time.
- Answer: 42
[Medium] Subtracting Fractions
- EN: A container is 7/10 full of maple syrup. After pouring, it is 3/10 full. How much syrup was poured out?
- FR: Un contenant est rempli à 7/10 de sirop d'érable. Après avoir versé, il est à 3/10. Quelle fraction de sirop a été versée?
- Choices: A) 3/10 B) 5/10 C) 4/10 D) 2/10
- Hint: Same denominator? Subtract just the numerators! For example, 8/11 − 3/11 = (8−3)/11 = 5/11. The denominator stays the same!
- Steps:
- Step 1: Try 9/12 − 4/12 = (9−4)/12 = 5/12.
- Step 2: When denominators match, subtract the numerators only. Write the answer over the same denominator.
- Answer: 4/10
[Medium] Volume of a Rectangular Prism
- EN: A camping cooler is 6 cm long, 4 cm wide, and 5 cm tall. What is the volume?
- FR: Une glacière de camping mesure 6 cm de long, 4 cm de large et 5 cm de haut. Quel est le volume?
- Choices: A) 100 B) 120 C) 110 D) 130
- Hint: Volume = length × width × height. For example, a box 3 cm × 4 cm × 2 cm: 3 × 4 = 12, then 12 × 2 = 24 cm³!
- Steps:
- Step 1: Try a box 5 cm × 3 cm × 4 cm: 5 × 3 = 15, then 15 × 4 = 60 cm³.
- Step 2: Multiply all three dimensions. Volume tells how much space is inside the 3D shape.
- Answer: 120
[Medium] Percentage — 25%
- EN: There are 60 students in the gym. 25% of them are wearing red shirts. How many students are wearing red shirts?
- FR: Il y a 60 élèves dans le gymnase. 25 % d'entre eux portent des chemises rouges. Combien d'élèves portent des chemises rouges?
- Choices: A) 20 B) 12 C) 15 D) 18
- Hint: 25% = one quarter. To find 25% of a number, divide by 4! For example, 25% of 40 = 40 ÷ 4 = 10!
- Steps:
- Step 1: 25% of 48 = 48 ÷ 4 = 12.
- Step 2: 25% means one out of every four. Always divide by 4 to find 25% of a number.
- Answer: 15
[Hard] Multi-Step Decimal Problem
- EN: Noah buys 3 school binders for $4.75 each and pays with a $20 bill. How much change does he receive?
- FR: Noah achète 3 classeurs scolaires à 4,75 $ chacun et paie avec un billet de 20 $. Quelle monnaie reçoit-il?
- Choices: A) 6.25 B) 5.75 C) 5.50 D) 6.50
- Hint: Multiply to find total cost, then subtract from the amount paid. For example, 4 items at $3.25 each: 4 × $3.25 = $13.00. Change from $20: $20.00 − $13.00 = $7.00!
- Steps:
- Step 1: Try 2 items at $6.50 each: 2 × $6.50 = $13.00. Change from $20: $20.00 − $13.00 = $7.00.
- Step 2: First multiply (unit price × quantity) to get the total. Then subtract total from the amount paid.
- Answer: 5.75
[Hard] Multi-Step Percentage and Fractions
- EN: A bag has 40 marbles. 10% are blue, 25% are red, and the rest are green. How many marbles are green?
- FR: Un sac contient 40 billes. 10 % sont bleues, 25 % sont rouges, et le reste est vert. Combien de billes sont vertes?
- Choices: A) 24 B) 28 C) 22 D: 26
- Hint: Find each percentage, add them, then subtract from the total. For example, if 10% + 20% = 30% are other colours, then 70% are green. 70% of 20 = 14 green!
- Steps:
- Step 1: Try 30 marbles: 10% blue = 3, 20% red = 6. That's 9 total. 30 − 9 = 21 green.
- Step 2: Find 10% (÷10) and 25% (÷4) of the total. Add those amounts. Subtract from 40 to find the rest.
- Answer: 26
Grade 6 Problems
[Easy] Percent of a Number
- EN: What is 30% of 90?
- FR: Combien font 30 % de 90?
- Choices: A) 30 B) 27 C) 24 D) 33
- Hint: Find 10% first, then multiply. For example, 30% of 50: 10% of 50 = 5. Then 5 × 3 = 15!
- Steps:
- Step 1: Try 30% of 60. 10% of 60 = 6. Then 6 × 3 = 18.
- Step 2: 10% = divide by 10. Multiply the result by the number of tens in the percent.
- Answer: 27
[Easy] Ratio — Maple Syrup Mix
- EN: A recipe mixes maple syrup and water in a ratio of 2:3. If you use 6 cups of maple syrup, how many cups of water do you need?
- FR: Une recette mélange du sirop d'érable et de l'eau dans un rapport de 2:3. Si vous utilisez 6 tasses de sirop, combien de tasses d'eau faut-il?
- Choices: A) 6 B) 12 C) 9 D) 8
- Hint: Find the scale factor first! For example, ratio 1:4 and you use 3 of the first: 3 ÷ 1 = 3 times bigger, so second = 4 × 3 = 12!
- Steps:
- Step 1: Ratio 3:5. If first amount = 9: scale factor = 9 ÷ 3 = 3. Second = 5 × 3 = 15.
- Step 2: Divide the given amount by the first ratio number to get the scale factor. Multiply the second ratio number by that factor.
- Answer: 9
[Easy] Integer Introduction — Temperature
- EN: The temperature in Winnipeg is −5°C in the morning. By noon it warms up 8 degrees. What is the temperature at noon?
- FR: La température à Winnipeg est de −5 °C le matin. Elle monte de 8 degrés à midi. Quelle est la température à midi?
- Choices: A) 2 B) 4 C) 3 D) 1
- Hint: Adding a positive to a negative: start on the number line at the negative, move right. For example, −3 + 7: start at −3, move right 7 steps → −2, −1, 0, 1, 2, 3, 4. Answer: 4!
- Steps:
- Step 1: Try −4 + 6. Start at −4, move right 6: −3, −2, −1, 0, 1, 2. Answer: 2.
- Step 2: Negative + positive: count up from the negative number. If you pass zero, you're in positive territory.
- Answer: 3
[Easy] Order of Operations (BEDMAS)
- EN: Solve: 3 + 4 × 2
- FR: Résoudre: 3 + 4 × 2
- Choices: A) 14 B) 10 C) 11 D) 9
- Hint: BEDMAS! Multiplication before addition. For example, 5 + 3 × 4: do 3 × 4 = 12 first, then 5 + 12 = 17. NOT (5+3) × 4!
- Steps:
- Step 1: Try 2 + 6 × 3. Multiplication first: 6 × 3 = 18. Then add: 2 + 18 = 20.
- Step 2: Always do multiplication before addition. BEDMAS: Brackets, Exponents, Division, Multiplication, Addition, Subtraction.
- Answer: 11
[Easy] Simple Algebraic Expression
- EN: What is the value of 5n + 3 when n = 4?
- FR: Quelle est la valeur de 5n + 3 quand n = 4?
- Choices: A) 20 B) 23 C) 27 D) 18
- Hint: Substitute the value into the expression. For example, 3n + 2 when n = 5: 3 × 5 + 2 = 15 + 2 = 17!
- Steps:
- Step 1: Try 4n + 6 when n = 3: 4 × 3 + 6 = 12 + 6 = 18.
- Step 2: Replace the variable (letter) with the number given, then multiply and add following BEDMAS.
- Answer: 23
[Medium] Fraction Multiplication
- EN: What is 3/4 × 2/5?
- FR: Combien fait 3/4 × 2/5?
- Choices: A) 5/20 B) 6/20 C) 3/10 D) 6/9
- Hint: Multiply top × top and bottom × bottom! For example, 2/3 × 3/4 = (2×3)/(3×4) = 6/12 = 1/2!
- Steps:
- Step 1: Try 2/5 × 3/7 = (2×3)/(5×7) = 6/35.
- Step 2: Multiply numerators together, then denominators together. Simplify if needed.
- Answer: 6/20
[Medium] Fraction Division
- EN: How many 1/4-cup servings are in 3 cups of trail mix?
- FR: Combien de portions de 1/4 de tasse y a-t-il dans 3 tasses de mélange montagnard?
- Choices: A) 9 B) 12 C) 8 D) 15
- Hint: Dividing by a fraction means multiplying by its reciprocal (flip it)! For example, 2 ÷ 1/3 = 2 × 3 = 6!
- Steps:
- Step 1: Try 4 ÷ 1/2 = 4 × 2 = 8.
- Step 2: To divide by a fraction, flip that fraction and multiply. 3 ÷ 1/4 = 3 × 4.
- Answer: 12
[Medium] Rate Problem — Tim Hortons
- EN: A Tim Hortons worker makes $15 per hour. How much does she earn in a 6-hour shift?
- FR: Une employée de Tim Hortons gagne 15 $ par heure. Combien gagne-t-elle en un quart de travail de 6 heures?
- Choices: A) 80 B) 100 C) 85 D) 90
- Hint: Rate problems multiply rate × time (or quantity). For example, $12/hour × 5 hours = $60 total!
- Steps:
- Step 1: Try $11/hour × 8 hours = $88 total.
- Step 2: Rate × number of units = total amount. Multiply the rate by the given quantity.
- Answer: 90
[Medium] Percent — Discount
- EN: A pair of hockey skates costs $120. They are on sale for 20% off. What is the sale price?
- FR: Une paire de patins de hockey coûte 120 $. Elle est en vente à 20 % de rabais. Quel est le prix de vente?
- Choices: A) 100 B) 90 C) 96 D) 98
- Hint: Find the discount, then subtract from the original. For example, 20% off $50: 20% of $50 = $10. Sale price = $50 − $10 = $40!
- Steps:
- Step 1: Try 20% off $80. 10% of $80 = $8. 20% = $16. Sale price = $80 − $16 = $64.
- Step 2: Calculate the percent discount. Subtract that discount from the original price to get the sale price.
- Answer: 96
[Medium] Order of Operations — Multi-Step
- EN: Solve: (8 + 2) × 3 − 4²
- FR: Résoudre: (8 + 2) × 3 − 4²
- Choices: A) 16 B) 14 C) 15 D) 13
- Hint: BEDMAS: Brackets first, then Exponents, then Multiply, then Subtract. For example, (5 + 1) × 2 − 3²: brackets = 6, exponent = 9, multiply 6×2=12, subtract 12−9=3!
- Steps:
- Step 1: Try (3+2) × 4 − 2³. Brackets: 5. Exponent: 8. Multiply: 5×4=20. Subtract: 20−8=12.
- Step 2: Work through BEDMAS strictly in order: B→E→D/M→A/S, left to right within each level.
- Answer: 14
[Medium] Ratios — Comparing
- EN: In a class, the ratio of boys to girls is 3:5. There are 24 students in total. How many are boys?
- FR: Dans une classe, le rapport garçons:filles est 3:5. Il y a 24 élèves en tout. Combien sont des garçons?
- Choices: A) 8 B) 10 C) 9 D) 12
- Hint: Add the ratio parts to find the whole. Then find one part's value. For example, ratio 2:3, total = 10 students: 2+3=5 parts. Each part = 10÷5=2. First group = 2×2=4!
- Steps:
- Step 1: Try ratio 1:3, total = 20. 1+3=4 parts. Each part = 20÷4=5. First group = 1×5=5.
- Step 2: Sum the ratio numbers. Divide total by that sum. Multiply by the part you need.
- Answer: 9
[Hard] Multi-Step Fraction Operations
- EN: A camp trail is 5/6 km long. Three hikers each walk 2/3 of the trail. What is the total distance walked by all three hikers?
- FR: Un sentier de camp mesure 5/6 km. Trois randonneurs marchent chacun 2/3 du sentier. Quelle est la distance totale parcourue par les trois randonneurs?
- Choices: A) 5/3 B) 4/3 C) 7/6 D) 10/6
- Hint: First find 2/3 of 5/6 (multiply fractions), then multiply by 3. For example, 3 people each walk 1/2 of a 2/3-km trail: each walks 1/3 km. Total: 3 × 1/3 = 1 km!
- Steps:
- Step 1: Each hiker walks 2/3 × 5/6 = 10/18 = 5/9 km. Then 3 × 5/9 = 15/9 = 5/3 km.
- Step 2: Multiply fractions for each individual distance. Then multiply by the number of hikers.
- Answer: 5/3
[Hard] Integer Operations
- EN: The temperature drops from 4°C to −9°C overnight. By how many degrees did it drop?
- FR: La température passe de 4 °C à −9 °C durant la nuit. De combien de degrés a-t-elle chuté?
- Choices: A) 5 B) 13 C) 14 D) 15
- Hint: To find the change, subtract: final − start, but for a drop use start − final. On the number line from −9 to 4, count the steps. For example, from −3 to 5: that's 8 steps!
- Steps:
- Step 1: Try from −6 to 3. Steps: 6 steps to reach 0, then 3 more = 9 degrees change.
- Step 2: Count from the negative number up to zero, then up to the positive. Add both parts.
- Answer: 13
[Hard] Algebraic Expression — Multi-Variable
- EN: Evaluate 3a − 2b + 5
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