Daily Math — 2026-06-21
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 first number. For example, 4 + 2: start at 4 and count on 2 more — 5, 6. So 4 + 2 = 6. Now try the same idea with your numbers!
- Steps:
- Step 1: Start at 4, then count on 2: "5, 6." So 4 + 2 = 6.
- Step 2: Use the same counting-on method — start at your bigger number and count on the smaller one.
- Answer: 10
[Easy] Hockey Sticks
- EN: Emma has 5 hockey sticks. She gives 2 away. How many does she have left?
- FR: Emma a 5 bâtons de hockey. Elle en donne 2. Combien lui en reste-t-il?
- Choices: A) 4 B) 2 C) 3 D) 7
- Hint: When we subtract, we count back. For example, 6 – 2: start at 6 and count back 2 — 5, 4. So 6 – 2 = 4. Try counting back from your number!
- Steps:
- Step 1: Start at 6, count back 2: "5, 4." So 6 – 2 = 4.
- Step 2: Use the same idea — start at your number and count back the amount taken away.
- Answer: 3
[Easy] Skip Counting by 2s
- EN: Count by 2s: 2, 4, 6, __, 10. What is the missing number?
- FR: Compte par 2: 2, 4, 6, __, 10. Quel est le nombre manquant?
- Choices: A) 7 B) 9 C) 8 D) 11
- Hint: Skip counting by 2s means adding 2 each time. For example, 10, 12, 14 — each step adds 2. Find the number that comes after 6 when you add 2!
- Steps:
- Step 1: Try 10, 12, 14: add 2 each time to get the next number.
- Step 2: Add 2 to 6 to find the missing number in your pattern.
- Answer: 8
[Easy] Counting Pennies
- EN: Liam has 4 pennies. His friend gives him 5 more pennies. How many pennies does Liam have?
- FR: Liam a 4 sous. Son ami lui en donne 5 de plus. Combien Liam a-t-il de sous en tout?
- Choices: A) 8 B) 10 C) 7 D) 9
- Hint: To add two numbers, count on from the bigger one. For example, 6 + 3: start at 6 and count on 3 — 7, 8, 9. So 6 + 3 = 9. Try this with your numbers!
- Steps:
- Step 1: Start at 6, count on 3: "7, 8, 9." So 6 + 3 = 9.
- Step 2: Now start at your bigger number and count on the smaller one.
- Answer: 9
[Medium] Snowflakes on the Window
- EN: There are 12 snowflakes on a window. 5 melt away. How many are left?
- FR: Il y a 12 flocons de neige sur une fenêtre. 5 fondent. Combien en reste-t-il?
- Choices: A) 8 B) 6 C) 7 D) 9
- Hint: To subtract bigger numbers, count back from the first number. For example, 14 – 4: start at 14 and count back 4 — 13, 12, 11, 10. So the answer is 10. Try the same!
- Steps:
- Step 1: Start at 14, count back 4: "13, 12, 11, 10." So 14 – 4 = 10.
- Step 2: Now start at your number and count back the right amount.
- Answer: 7
[Medium] Skip Counting by 5s
- EN: Count by 5s: 5, 10, 15, __, 25. What number is missing?
- FR: Compte par 5: 5, 10, 15, __, 25. Quel nombre est manquant?
- Choices: A) 18 B) 22 C) 20 D) 21
- Hint: Skip counting by 5s means adding 5 each time. For example, 20, 25, 30 — each number is 5 more than the last. Add 5 to 15 to find your answer!
- Steps:
- Step 1: 20, 25, 30 — each step adds 5. So the pattern grows by 5.
- Step 2: Add 5 to 15 to find the missing number in your sequence.
- Answer: 20
[Medium] Comparing Numbers
- EN: Which number is greater: 14 or 19?
- FR: Quel nombre est le plus grand: 14 ou 19?
- Choices: A) 14 B) 19 C) They are equal D) 12
- Hint: To compare numbers, look at the tens digit first. For example, 16 vs. 11 — both have 1 ten, but 16 has 6 ones and 11 has 1 one, so 16 is greater. Compare the ones in your numbers!
- Steps:
- Step 1: 16 vs. 11 — same tens, but 6 ones vs. 1 one. So 16 > 11.
- Step 2: Compare the ones digits of your two numbers to find which is greater.
- Answer: 19
[Medium] Nickels at the Store
- EN: You have 3 nickels. How many cents do you have in total?
- FR: Tu as 3 pièces de 5 cents. Combien de cents as-tu en tout?
- Choices: A) 3 B) 10 C) 15 D) 12
- Hint: A nickel is worth 5 cents. Count by 5s for each nickel. For example, 2 nickels: 5, 10 — so 2 nickels = 10 cents. Count by 5s for your number of nickels!
- Steps:
- Step 1: 2 nickels = 5, 10 → 10 cents total.
- Step 2: Count by 5s three times to find the total for 3 nickels.
- Answer: 15
[Hard] Maple Syrup Jars
- EN: There are 18 jars of maple syrup on a shelf. Workers add some more jars and now there are 20. How many jars were added?
- FR: Il y a 18 pots de sirop d'érable sur une tablette. Des travailleurs en ajoutent et maintenant il y en a 20. Combien de pots ont été ajoutés?
- Choices: A) 3 B) 1 C) 4 D) 2
- Hint: To find what was added, think: what do I add to the first number to get the second? For example, 13 + ? = 15. Count on from 13: 14, 15 — that's 2 steps, so the answer is 2. Try this with your numbers!
- Steps:
- Step 1: 13 + ? = 15 → count on from 13: "14, 15" = 2 steps.
- Step 2: Count on from 18 to 20 to find how many were added.
- Answer: 2
[Hard] Tims Timbits
- EN: There are 9 Timbits in a box. Some are eaten and only 4 remain. How many were eaten?
- FR: Il y a 9 Timbits dans une boîte. On en mange quelques-uns et il en reste 4. Combien ont été mangés?
- Choices: A) 4 B) 6 C) 5 D) 3
- Hint: To find how many were taken away, subtract what's left from what you started with. For example, 8 – 3 = ?: start at 8, count back 3 — 7, 6, 5. So 5 were taken. Use the same idea!
- Steps:
- Step 1: 8 – 3: count back from 8 three steps: "7, 6, 5." So 5 were removed.
- Step 2: Now subtract what remains from your starting amount to find how many were eaten.
- Answer: 5
Grade 2 Problems
[Easy] Adding at Tim Hortons
- EN: A muffin costs 35 cents and a juice costs 40 cents. How many cents do they cost together?
- FR: Un muffin coûte 35 cents et un jus coûte 40 cents. Combien coûtent-ils ensemble en cents?
- Choices: A) 70 B) 80 C) 75 D) 65
- Hint: To add two-digit numbers, add the tens first, then the ones. For example, 22 + 43: 20 + 40 = 60, then 2 + 3 = 5, so 60 + 5 = 65. Try the same method!
- Steps:
- Step 1: 22 + 43 → 20 + 40 = 60, then 2 + 3 = 5. Total = 65.
- Step 2: Add your tens together, then your ones, then combine them.
- Answer: 75
[Easy] Measuring a Pencil
- EN: A pencil is 14 cm long. A crayon is 8 cm long. How much longer is the pencil than the crayon?
- FR: Un crayon est long de 14 cm. Un crayon de couleur est long de 8 cm. De combien le crayon est-il plus long?
- Choices: A) 5 B) 8 C) 6 D) 22
- Hint: To find the difference in length, subtract the shorter from the longer. For example, 17 cm – 9 cm: 17 – 9 = 8. Use subtraction to find the difference!
- Steps:
- Step 1: 17 – 9: think 9 + ? = 17 → count on 8. So the difference is 8.
- Step 2: Subtract the smaller length from the larger length to find your answer.
- Answer: 6
[Easy] Telling Time
- EN: The clock shows 3 o'clock. School ends 1 hour later. What time does school end?
- FR: L'horloge affiche 3 heures. L'école finit 1 heure plus tard. À quelle heure l'école finit-elle?
- Choices: A) 2 B) 5 C) 4 D) 3
- Hint: To find a time 1 hour later, just add 1 to the hour. For example, if it is 6 o'clock and you add 1 hour, it becomes 7 o'clock. Add 1 to your starting hour!
- Steps:
- Step 1: 6 o'clock + 1 hour = 7 o'clock.
- Step 2: Add 1 to your starting hour to find the new time.
- Answer: 4
[Easy] Counting Coins
- EN: You have 2 dimes and 3 nickels. How many cents do you have in all?
- FR: Tu as 2 pièces de 10 cents et 3 pièces de 5 cents. Combien de cents as-tu en tout?
- Choices: A) 25 B) 30 C) 35 D) 20
- Hint: A dime = 10 cents, a nickel = 5 cents. For example, 3 dimes + 2 nickels = 30 + 10 = 40 cents. Add up your dimes first, then your nickels!
- Steps:
- Step 1: 3 dimes = 30 cents; 2 nickels = 10 cents; 30 + 10 = 40 cents.
- Step 2: Multiply your dimes by 10 and nickels by 5, then add both totals.
- Answer: 35
[Medium] Subtraction with Snowfall
- EN: A town got 82 cm of snow this winter. Last winter they got 57 cm. How much more snow fell this winter?
- FR: Une ville a reçu 82 cm de neige cet hiver. L'hiver dernier, elle en a reçu 57 cm. Combien de neige en plus est tombée cet hiver?
- Choices: A) 35 B) 25 C) 30 D) 20
- Hint: To subtract two-digit numbers, subtract the ones first, then the tens. For example, 74 – 32: 4 – 2 = 2, then 70 – 30 = 40, so 42. Try the same steps!
- Steps:
- Step 1: 74 – 32 → ones: 4 – 2 = 2; tens: 70 – 30 = 40. Total = 42.
- Step 2: Subtract ones first, then tens, and combine your answers.
- Answer: 25
[Medium] Telling Time to the Half Hour
- EN: Mia starts reading at 2:00. She reads for 30 minutes. What time does she finish?
- FR: Mia commence à lire à 2h00. Elle lit pendant 30 minutes. À quelle heure finit-elle?
- Choices: A) 2 B) 3 C) 1 D) 4
- Hint: Adding 30 minutes to an o'clock time gives you the half hour. For example, 4:00 + 30 minutes = 4:30, which we say as "four thirty." What is 2:00 + 30 minutes?
- Steps:
- Step 1: 4:00 + 30 minutes = 4:30. The hour stays the same, minutes become 30.
- Step 2: Add 30 minutes to 2:00 to get 2:30, which is half past 2.
- Answer: 2
[Medium] Camping Supplies
- EN: A camping bag holds 100 items. It already has 63 items inside. How many more items can fit?
- FR: Un sac de camping peut contenir 100 articles. Il en contient déjà 63. Combien d'articles supplémentaires peuvent y entrer?
- Choices: A) 47 B) 27 C) 37 D) 57
- Hint: To find how many more fit, subtract from 100. For example, 100 – 45: 100 – 40 = 60, then 60 – 5 = 55. Try the same approach!
- Steps:
- Step 1: 100 – 45 → 100 – 40 = 60; 60 – 5 = 55.
- Step 2: Subtract your number from 100 by breaking it into tens and ones.
- Answer: 37
[Medium] Pattern Recognition
- EN: Look at this pattern: 5, 10, 15, 20, __. What comes next?
- FR: Regarde ce patron: 5, 10, 15, 20, __. Quel nombre vient ensuite?
- Choices: A) 22 B) 30 C) 25 D) 28
- Hint: Find the rule by looking at what is added each time. For example, 3, 6, 9, 12 — the rule is add 3 each time. Look at the difference between numbers in your pattern!
- Steps:
- Step 1: 3, 6, 9, 12 → 6 – 3 = 3; rule is +3. Next: 12 + 3 = 15.
- Step 2: Find the rule in your pattern, then add it to the last number.
- Answer: 25
[Hard] School Supplies Budget
- EN: Zoe has 75 cents. She spends 48 cents on a pencil. How many cents does she have left?
- FR: Zoé a 75 cents. Elle dépense 48 cents pour un crayon. Combien de cents lui reste-t-il?
- Choices: A) 23 B) 37 C) 27 D) 33
- Hint: To subtract with regrouping, borrow from the tens. For example, 62 – 35: you can't do 2 – 5, so borrow a ten → 12 – 5 = 7, then 50 – 30 = 20. Total = 27. Try the same!
- Steps:
- Step 1: 62 – 35 → borrow: 12 – 5 = 7; 50 – 30 = 20; total = 27.
- Step 2: Check if you need to borrow, then subtract ones and tens separately.
- Answer: 27
[Hard] Measuring Length
- EN: A ribbon is 1 metre long. You cut off 35 cm. How many centimetres of ribbon are left? (Hint: 1 metre = 100 cm)
- FR: Un ruban a 1 mètre de long. Tu en coupes 35 cm. Combien de centimètres de ruban reste-t-il? (Indice: 1 mètre = 100 cm)
- Choices: A) 55 B) 75 C) 65 D) 45
- Hint: Convert 1 metre to 100 cm first, then subtract. For example, 1 m – 28 cm = 100 – 28 = 72 cm. Now try with your number!
- Steps:
- Step 1: 100 – 28 = 72. First change the metre to centimetres, then subtract.
- Step 2: Convert 1 m to 100 cm, then subtract 35 to find the remaining length.
- Answer: 65
Grade 3 Problems
[Easy] Multiplication at the Maple Farm
- EN: A maple farm has 4 rows of trees. Each row has 5 trees. How many trees are there in all?
- FR: Une ferme acéricole a 4 rangées d'arbres. Chaque rangée a 5 arbres. Combien y a-t-il d'arbres en tout?
- Choices: A) 9 B) 25 C) 20 D) 15
- Hint: Multiplication means equal groups. For example, 3 rows of 6 = 3 × 6 = 6 + 6 + 6 = 18. Add the group size the number of times shown by the rows!
- Steps:
- Step 1: 3 × 6 = 6 + 6 + 6 = 18. Three groups of six equals eighteen.
- Step 2: Use the same idea — multiply your rows by the number of trees per row.
- Answer: 20
[Easy] Hockey Goals
- EN: A hockey team scores 3 goals in each period. There are 3 periods. How many goals did they score in total?
- FR: Une équipe de hockey marque 3 buts à chaque période. Il y a 3 périodes. Combien de buts ont-ils marqués en tout?
- Choices: A) 6 B) 12 C) 9 D) 3
- Hint: When the same number repeats, multiply. For example, 4 goals × 2 periods = 8 goals. Multiply your goals per period by the number of periods!
- Steps:
- Step 1: 4 × 2 = 8. Four goals in each of two periods = eight goals total.
- Step 2: Multiply 3 × 3 to find the total number of goals.
- Answer: 9
[Easy] Sharing Equally
- EN: 12 stickers are shared equally among 4 friends. How many stickers does each friend get?
- FR: 12 autocollants sont partagés également entre 4 amis. Combien d'autocollants chaque ami reçoit-il?
- Choices: A) 2 B) 4 C) 3 D) 8
- Hint: Division means splitting into equal groups. For example, 10 ÷ 5: put 10 into 5 equal groups → 2 in each group. Think: what times 5 = 10? Apply the same idea!
- Steps:
- Step 1: 10 ÷ 5 = 2. Ten shared among 5 friends = 2 each.
- Step 2: Think: what times 4 = 12? That gives you how many each friend gets.
- Answer: 3
[Easy] Perimeter of a Square
- EN: A square has a side length of 5 cm. What is its perimeter?
- FR: Un carré a un côté de 5 cm. Quel est son périmètre?
- Choices: A) 10 B) 25 C) 15 D) 20
- Hint: A square has 4 equal sides. To find the perimeter, add all sides. For example, a square with sides of 3 cm: 3 + 3 + 3 + 3 = 12 cm. Add all four sides of your square!
- Steps:
- Step 1: Square with side 3 cm: 3 + 3 + 3 + 3 = 12 cm perimeter.
- Step 2: Add 5 + 5 + 5 + 5 to find the perimeter of your square.
- Answer: 20
[Medium] Fractions of a Pizza
- EN: A pizza is cut into 4 equal pieces. Noah eats 1 piece. What fraction of the pizza is left?
- FR: Une pizza est coupée en 4 parts égales. Noah mange 1 part. Quelle fraction de la pizza reste-t-il?
- Choices: A) 1 B) 2 C) 4 D) 3
- Hint: If a whole is cut into equal parts and some are eaten, subtract to find what's left. For example, a pie in 3 pieces: eat 1, then 3 – 1 = 2 pieces left, so 2/3 remains. Find the numerator for your fraction!
- Steps:
- Step 1: Pie with 3 pieces, eat 1: 3 – 1 = 2 pieces left → 2/3 of the pie remains.
- Step 2: Subtract 1 from 4 to find how many pieces are left — that is your numerator.
- Answer: 3
[Medium] Reading a Bar Graph
- EN: A bar graph shows: Monday = 6 books, Tuesday = 4 books, Wednesday = 8 books. How many books were read on Monday and Wednesday together?
- FR: Un diagramme à barres montre: lundi = 6 livres, mardi = 4 livres, mercredi = 8 livres. Combien de livres ont été lus lundi et mercredi ensemble?
- Choices: A) 12 B) 18 C) 10 D) 14
- Hint: To find a combined total, add the two values from the graph. For example, if two bars show 5 and 7, their combined total = 5 + 7 = 12. Add your two values!
- Steps:
- Step 1: Bar 1 = 5, Bar 2 = 7 → 5 + 7 = 12 books in total.
- Step 2: Add Monday's books and Wednesday's books together.
- Answer: 14
[Medium] Skip Counting by 10s
- EN: Start at 20 and skip count by 10s. What is the 5th number in the sequence?
- FR: Commence à 20 et compte par bonds de 10. Quel est le 5e nombre de la suite?
- Choices: A) 50 B) 60 C) 70 D) 55
- Hint: Skip counting by 10s means adding 10 each time. For example, starting at 30: 30, 40, 50, 60 — the 4th number is 60. List your sequence and find the 5th term!
- Steps:
- Step 1: Starting at 30: 30, 40, 50, 60 → 4th number = 60.
- Step 2: Starting at 20, list 5 numbers: 20, 30, 40, 50, 60 — the 5th is your answer.
- Answer: 60
[Medium] Multiplication Table of 3
- EN: A camping trip needs 3 water bottles for each camper. There are 7 campers. How many bottles are needed?
- FR: Un voyage de camping nécessite 3 bouteilles d'eau par campeur. Il y a 7 campeurs. Combien de bouteilles sont nécessaires?
- Choices: A) 18 B) 24 C) 10 D) 21
- Hint: Multiply the number per person by the number of people. For example, 3 bottles × 5 campers = 15 bottles. Use multiplication to find the total!
- Steps:
- Step 1: 3 × 5 = 15. Three bottles for each of 5 campers = 15 bottles.
- Step 2: Multiply 3 × 7 to find the total number of bottles needed.
- Answer: 21
[Hard] Division with Remainders
- EN: 25 Tim Hortons cups are packed into boxes of 4. How many full boxes are made?
- FR: 25 gobelets de Tim Hortons sont mis dans des boîtes de 4. Combien de boîtes complètes peut-on faire?
- Choices: A) 5 B) 7 C) 4 D) 6
- Hint: To divide with remainders, find how many times the divisor fits in the number. For example, 17 ÷ 3: 3 × 5 = 15 (fits), 3 × 6 = 18 (too big), so 5 full groups with 2 left over. Try the same!
- Steps:
- Step 1: 17 ÷ 3 → 3 × 5 = 15, remainder 2. So 5 full groups.
- Step 2: Find how many times 4 fits into 25 without going over. That is the number of full boxes.
- Answer: 6
[Hard] Perimeter of a Rectangle
- EN: A hockey rink is 10 m long and 6 m wide. What is its perimeter in metres?
- FR: Une patinoire de hockey a 10 m de long et 6 m de large. Quel est son périmètre en mètres?
- Choices: A) 16 B) 60 C) 32 D) 28
- Hint: A rectangle has 2 long sides and 2 short sides. Add all four. For example, length 8 m, width 3 m: 8 + 8 + 3 + 3 = 22 m. Add your two lengths and two widths!
- Steps:
- Step 1: Length 8, width 3: 8 + 8 + 3 + 3 = 22 m perimeter.
- Step 2: Add 10 + 10 + 6 + 6 to find the perimeter of your rink.
- Answer: 32
Grade 4 Problems
[Easy] Multiplication Facts
- EN: A shelf has 7 rows of books with 8 books in each row. How many books are on the shelf?
- FR: Une étagère a 7 rangées de livres avec 8 livres dans chaque rangée. Combien de livres y a-t-il sur l'étagère?
- Choices: A) 54 B) 64 C) 56 D) 49
- Hint: To multiply, use your times tables. For example, 6 × 9: think 6 groups of 9 = 54. Practice recalling 7 × 8 from your multiplication table!
- Steps:
- Step 1: 6 × 9 = 54. Six groups of nine equals fifty-four.
- Step 2: Recall or work out 7 × 8 using your times table.
- Answer: 56
[Easy] Decimal Place Value
- EN: A juice costs $1.35. What digit is in the tenths place?
- FR: Un jus coûte 1,35 $. Quel chiffre est à la position des dixièmes?
- Choices: A) 1 B) 5 C) 3 D) 0
- Hint: In a decimal number, the tenths place is the first digit after the decimal point. For example, in 2.47, the tenths digit is 4. Find the first digit after the decimal point in your number!
- Steps:
- Step 1: In 2.47 → tenths = 4, hundredths = 7.
- Step 2: Look at the first digit after the decimal point in $1.35.
- Answer: 3
[Easy] Area of a Rectangle
- EN: A hockey card is 9 cm long and 6 cm wide. What is its area in square centimetres?
- FR: Une carte de hockey est longue de 9 cm et large de 6 cm. Quelle est son aire en centimètres carrés?
- Choices: A) 30 B) 54 C) 45 D) 63
- Hint: Area of a rectangle = length × width. For example, a card that is 7 cm × 4 cm has area = 7 × 4 = 28 cm². Multiply your length by your width!
- Steps:
- Step 1: 7 × 4 = 28 cm². Length times width gives the area.
- Step 2: Multiply 9 × 6 to find the area of your hockey card.
- Answer: 54
[Easy] Comparing Fractions
- EN: Which fraction is larger: 3/4 or 1/4?
- FR: Quelle fraction est la plus grande: 3/4 ou 1/4?
- Choices: A) 1 B) 4 C) 3 D) 2
- Hint: When fractions have the same denominator, just compare the numerators. For example, 5/8 vs. 2/8 — 5 > 2, so 5/8 is larger. Compare the top numbers in your fractions!
- Steps:
- Step 1: 5/8 vs. 2/8 → same bottom number, so 5 > 2 means 5/8 is bigger.
- Step 2: Compare 3 and 1 — the bigger numerator means the bigger fraction.
- Answer: 3
[Medium] Long Division
- EN: A school orders 85 pencils and packs them into bags of 5. How many full bags are made?
- FR: Une école commande 85 crayons et les met dans des sacs de 5. Combien de sacs complets peut-on faire?
- Choices: A) 15 B) 20 C) 17 D) 25
- Hint: To divide, think how many times the divisor goes into the number. For example, 72 ÷ 6: 6 × 10 = 60, 6 × 12 = 72 — so 12. Use the same approach with your numbers!
- Steps:
- Step 1: 72 ÷ 6 → 6 × 10 = 60; 72 – 60 = 12; 12 ÷ 6 = 2; total = 12.
- Step 2: Divide 85 by 5 step by step to find the number of full bags.
- Answer: 17
[Medium] Elapsed Time
- EN: A hockey game starts at 6:15 PM and ends at 8:45 PM. How many minutes long is the game?
- FR: Un match de hockey commence à 18h15 et se termine à 20h45. Combien de minutes dure le match?
- Choices: A) 120 B) 130 C) 140 D) 150
- Hint: To find elapsed time, count the hours and minutes separately. For example, 3:20 PM to 5:50 PM: 2 hours = 120 min, then 30 more min = 150 min. Count up from your start time!
- Steps:
- Step 1: 3:20 to 5:50 → 2 hours (120 min) + 30 min = 150 min total.
- Step 2: From 6:15 to 8:45 — count 2 hours (120 min) then add 30 more minutes.
- Answer: 150
[Medium] Decimal Operations
- EN: A loonie is worth $1.00 and a toonie is worth $2.00. If you have 3 loonies and 1 toonie, how many dollars do you have?
- FR: Une pièce de 1 $ vaut 1,00 $ et une pièce de 2 $ vaut 2,00 $. Si tu as 3 pièces de 1 $ et 1 pièce de 2 $, combien as-tu de dollars?
- Choices: A) 4 B) 6 C) 3 D) 5
- Hint: Multiply each coin by its value, then add. For example, 2 loonies + 2 toonies = 2×$1 + 2×$2 = $2 + $4 = $6. Use the same method!
- Steps:
- Step 1: 2 loonies + 2 toonies = $2.00 + $4.00 = $6.00.
- Step 2: 3 loonies = 3 × $1, plus 1 toonie = $2. Add them together.
- Answer: 5
[Medium] Division with Remainders
- EN: 47 students need to be placed in groups of 9. How many full groups can be made?
- FR: 47 élèves doivent être placés en groupes de 9. Combien de groupes complets peut-on faire?
- Choices: A) 6 B) 4 C) 5 D) 7
- Hint: Divide and find the quotient (ignore the remainder for full groups). For example, 29 ÷ 6: 6 × 4 = 24, 6 × 5 = 30 (too big), so 4 full groups. Find how many times 9 fits in 47!
- Steps:
- Step 1: 29 ÷ 6 → 6 × 4 = 24 (fits), 6 × 5 = 30 (too big) → 4 full groups.
- Step 2: Find the largest multiple of 9 that fits in 47 to get the full group count.
- Answer: 5
[Hard] Multi-step Word Problem
- EN: A maple syrup store sells small bottles for $3 and large bottles for $7. Ava buys 4 small bottles and 3 large bottles. How much does she spend in dollars?
- FR: Une boutique vend des petites bouteilles de sirop d'érable à 3 $ et des grandes à 7 $. Ava achète 4 petites bouteilles et 3 grandes. Combien dépense-t-elle en dollars?
- Choices: A) 30 B) 33 C) 37 D) 40
- Hint: Multiply each item by its price, then add the totals. For example, 3 small × $4 = $12, 2 large × $6 = $12, total = $24. Use the same two-step method!
- Steps:
- Step 1: 3 × $4 = $12; 2 × $6 = $12; total = $12 + $12 = $24.
- Step 2: Calculate 4 × $3 and 3 × $7 separately, then add the two amounts.
- Answer: 33
[Hard] Area and Perimeter
- EN: A rectangular garden is 8 m long and 6 m wide. What is the difference between its area and its perimeter?
- FR: Un jardin rectangulaire a 8 m de long et 6 m de large. Quelle est la différence entre son aire et son périmètre?
- Choices: A) 20 B) 20 C) 48 D) 28
- Hint: Find area (l × w) and perimeter (2l + 2w) separately, then subtract. For example, a 5 × 3 rectangle: area = 15, perimeter = 16, difference = 1. Do the same for your rectangle!
- Steps:
- Step 1: 5 × 3 = 15 (area); 2×5 + 2×3 = 16 (perimeter); 16 – 15 = 1.
- Step 2: Find area = 8 × 6 = 48; perimeter = 2(8) + 2(6) = 28; then find 48 – 28.
- Answer: 20
Grade 5 Problems
[Easy] Multi-digit Multiplication
- EN: A school orders 24 boxes of crayons. Each box has 12 crayons. How many crayons are there in total?
- FR: Une école commande 24 boîtes de crayons. Chaque boîte en contient 12. Combien y a-t-il de crayons en tout?
- Choices: A) 288 B) 248 C) 268 D) 36
- Hint: To multiply two-digit numbers, break one apart. For example, 13 × 21: 13 × 20 = 260, 13 × 1 = 13, total = 273. Use the same break-apart method!
- Steps:
- Step 1: 13 × 21 = 13 × 20 + 13 × 1 = 260 + 13 = 273.
- Step 2: Break 12 into 10 and 2, multiply each by 24, then add the results.
- Answer: 288
[Easy] Adding Fractions
- EN: Sasha eats 2/8 of a pizza and her brother eats 3/8. How much pizza did they eat together?
- FR: Sasha mange 2/8 d'une pizza et son frère en mange 3/8. Combien ont-ils mangé ensemble?
- Choices: A) 5 B) 6 C) 4 D) 8
- Hint: To add fractions with the same denominator, just add the numerators and keep the denominator. For example, 1/6 + 3/6 = 4/6. Add your numerators and keep the same bottom number!
- Steps:
- Step 1: 1/6 + 3/6 = (1+3)/6 = 4/6. The denominator stays the same.
- Step 2: Add 2 + 3 and keep /8 to find the total fraction eaten.
- Answer: 5
[Easy] Decimal Addition
- EN: A chocolate bar costs $1.45 and a bag of chips costs $2.30. How much do they cost together in dollars?
- FR: Une barre de chocolat coûte 1,45 $ et un sac de croustilles coûte 2,30 $. Combien coûtent-ils ensemble en dollars?
- Choices: A) 3.65 B) 3.75 C) 3.55 D) 4.75
- Hint: Line up decimal points and add column by column. For example, $2.25 + $1.60: ones 2+1=3, tenths 2+6=8, hundredths 5+0=5 → $3.85. Try the same with your numbers!
- Steps:
- Step 1: $2.25 + $1.60 → $3.85. Line up the decimal points and add each column.
- Step 2: Add $1.45 + $2.30 column by column to find the total cost.
- Answer: 3.75
[Easy] Percentage Introduction
- EN: A bag has 20 hockey cards. 50% of them are star players. How many cards are star players?
- FR: Un sac contient 20 cartes de hockey. 50% d'entre elles représentent des joueurs vedettes. Combien de cartes sont des joueurs vedettes?
- Choices: A) 5 B) 15 C) 10 D) 20
- Hint: 50% means half. To find 50% of a number, divide it by 2. For example, 50% of 16 = 16 ÷ 2 = 8. Divide your number by 2 to find 50%!
- Steps:
- Step 1: 50% of 16 = 16 ÷ 2 = 8.
- Step 2: Divide 20 by 2 to find 50% of your total.
- Answer: 10
[Medium] Multi-digit Division
- EN: A camp has 312 sandwiches to share equally among 8 cabins. How many sandwiches does each cabin get?
- FR: Un camp a 312 sandwichs à partager également entre 8 cabines. Combien de sandwichs chaque cabine reçoit-elle?
- Choices: A) 40 B) 39 C) 42 D) 38
- Hint: For long division, divide step by step. For example, 192 ÷ 6: 6 goes into 19 three times (18), remainder 1; bring down 2 → 12 ÷ 6 = 2. Answer: 32. Use the same process!
- Steps:
- Step 1: 192 ÷ 6 → 6 into 19 = 3 r1; bring down 2 → 12 ÷ 6 = 2. Answer = 32.
- Step 2: Apply long division to 312 ÷ 8 step by step.
- Answer: 39
[Medium] Subtracting Fractions
- EN: A container holds 7/10 of a litre of maple syrup. You use 3/10 of a litre. How much is left?
- FR: Un contenant contient 7/10 d'un litre de sirop d'érable. Tu en utilises 3/10. Combien reste-t-il?
- Choices: A) 3 B) 5 C) 4 D) 10
- Hint: To subtract fractions with the same denominator, just subtract the numerators. For example, 9/11 – 4/11 = 5/11. Subtract your numerators and keep the denominator!
- Steps:
- Step 1: 9/11 – 4/11 = (9–4)/11 = 5/11. The denominator stays the same.
- Step 2: Subtract 3 from 7 and keep /10 to find how much syrup remains.
- Answer: 4
[Medium] Volume of a Rectangular Prism
- EN: A box for camping gear is 5 m long, 3 m wide, and 2 m tall. What is its volume in cubic metres?
- FR: Une boîte pour l'équipement de camping mesure 5 m de long, 3 m de large et 2 m de haut. Quel est son volume en mètres cubes?
- Choices: A) 25 B) 30 C) 16 D) 20
- Hint: Volume = length × width × height. For example, a box 4 m × 2 m × 3 m: 4 × 2 × 3 = 24 m³. Multiply your three dimensions together!
- Steps:
- Step 1: 4 × 2 × 3 = 8 × 3 = 24 m³.
- Step 2: Multiply 5 × 3 × 2 to find the volume of your camping box.
- Answer: 30
[Medium] Finding 25%
- EN: A jacket at a Canadian store normally costs $80. It is on sale at 25% off. How much is the discount in dollars?
- FR: Un manteau dans un magasin canadien coûte normalement 80 $. Il est en solde à 25% de réduction. Quel est le montant de la réduction en dollars?
- Choices: A) 15 B) 25 C) 20 D) 40
- Hint: 25% = one quarter. Divide by 4 to find 25% of a number. For example, 25% of $60 = $60 ÷ 4 = $15. Divide your price by 4!
- Steps:
- Step 1: 25% of $60 = $60 ÷ 4 = $15.
- Step 2: Divide $80 by 4 to find 25% of the jacket price.
- Answer: 20
[Hard] Multi-step Decimal Problem
- EN: Lena buys 3 notebooks at $4.75 each and pays with a $20 bill. How much change does she receive in dollars?
- FR: Léna achète 3 cahiers à 4,75 $ chacun et paie avec un billet de 20 $. Combien de monnaie reçoit-elle en dollars?
- Choices: A) 5.75 B) 6.25 C) 5.25 D) 4.75
- Hint: First multiply to find the total cost, then subtract from $20. For example, 3 notebooks × $3.50 = $10.50; $20.00 – $10.50 = $9.50 change. Use the same two steps!
- Steps:
- Step 1: 3 × $3.50 = $10.50; $20.00 – $10.50 = $9.50 change.
- Step 2: Multiply 3 × $4.75 to get the total, then subtract from $20.00.
- Answer: 5.75
[Hard] Percentage and Fractions Combined
- EN: A hockey team won 15 out of 20 games. What percentage of games did they win?
- FR: Une équipe de hockey a gagné 15 parties sur 20. Quel pourcentage de parties ont-ils gagnées?
- Choices: A) 70 B) 80 C) 65 D) 75
- Hint: To convert a fraction to a percent, divide the numerator by the denominator and multiply by 100. For example, 12/20 = 0.60 × 100 = 60%. Try the same with your fraction!
- Steps:
- Step 1: 12 ÷ 20 = 0.60; 0.60 × 100 = 60%.
- Step 2: Divide 15 by 20, then multiply by 100 to find the win percentage.
- Answer: 75
Grade 6 Problems
[Easy] Percent of a Number
- EN: There are 50 students at a school event. 30% brought a water bottle. How many students brought a water bottle?
- FR: Il y a 50 élèves à un événement scolaire. 30% ont apporté une bouteille d'eau. Combien d'élèves ont apporté une bouteille d'eau?
- Choices: A) 20 B) 15 C) 10 D) 30
- Hint: To find a percent of a number, multiply the number by the percent written as a decimal. For example, 20% of 40 = 0.20 × 40 = 8. Change your percent to a decimal and multiply!
- Steps:
- Step 1: 20% of 40 = 0.20 × 40 = 8 students.
- Step 2: Convert 30% to 0.30, then multiply by 50 to find your answer.
- Answer: 15
[Easy] Ratio and Rate
- EN: A recipe needs 2 cups of flour for every 3 cups of oats. What is the ratio of flour to oats?
- FR: Une recette nécessite 2 tasses de farine pour 3 tasses d'avoine. Quel est le rapport de la farine à l'avoine?
- Choices: A) 3:2 B) 2:3 C) 1:3 D) 2:5
- Hint: A ratio compares two amounts in order. For example, 4 red to 5 blue = 4:5. Write your two numbers in the order they are given in the problem!
- Steps:
- Step 1: 4 red to 5 blue = ratio 4:5. The first number mentioned comes first.
- Step 2: Write flour first, then oats, separated by a colon.
- Answer: 2
[Easy] Integer Introduction
- EN: The temperature in Winnipeg is –8°C in the morning and rises 5 degrees by noon. What is the temperature at noon?
- FR: La température à Winnipeg est de –8°C le matin et monte de 5 degrés à midi. Quelle est la température à midi?
- Choices: A) –4 B) –2 C) –3 D) –13
- Hint: Adding a positive number to a negative number moves you right on the number line. For example, –6 + 4 = –2. Start at your negative number and count up!
- Steps:
- Step 1: –6 + 4: start at –6, count up 4 → –5, –4, –3, –2. Answer = –2.
- Step 2: Start at –8 and count up 5 to find the noon temperature.
- Answer: -3
[Easy] Order of Operations (BEDMAS)
- EN: Solve: 3 + 4 × 2
- FR: Résous: 3 + 4 × 2
- Choices: A) 14 B) 10 C) 11 D) 9
- Hint: In BEDMAS, multiplication comes before addition. For example, 5 + 3 × 2: do 3 × 2 = 6 first, then 5 + 6 = 11. Always multiply before you add!
- Steps:
- Step 1: 5 + 3 × 2 → 3 × 2 = 6 first; then 5 + 6 = 11.
- Step 2: In your problem, do 4 × 2 first, then add 3.
- Answer: 11
[Easy] Simple Algebraic Expression
- EN: If n = 6, what is the value of 3n + 4?
- FR: Si n = 6, quelle est la valeur de 3n + 4?
- Choices: A) 24 B) 20 C) 22 D) 13
- Hint: Substitute the value into the expression. For example, if n = 5, then 2n + 3 = 2(5) + 3 = 10 + 3 = 13. Replace n with your number and calculate!
- Steps:
- Step 1: n = 5: 2(5) + 3 = 10 + 3 = 13.
- Step 2: Substitute n = 6 into 3n + 4: multiply first, then add.
- Answer: 22
[Medium] Multiplying Fractions
- EN: A recipe uses 3/4 of a cup of maple syrup. If you make 2/3 of the recipe, how much maple syrup do you need?
- FR: Une recette utilise 3/4 de tasse de sirop d'érable. Si tu fais 2/3 de la recette, de quelle quantité de sirop as-tu besoin?
- Choices: A) 1 B) 5 C) 1/2 D) 3
- Hint: To multiply fractions, multiply numerators together and denominators together. For example, 2/3 × 3/5 = (2×3)/(3×5) = 6/15 = 2/5. Multiply top × top and bottom × bottom!
- Steps:
- Step 1: 2/3 × 3/5 = 6/15 = 2/5. Multiply numerators and denominators separately.
- Step 2: Multiply 2/3 × 3/4 = (2×3)/(3×4) = 6/12. Simplify to find the answer.
- Answer: 1
[Medium] Dividing Fractions
- EN: You have 3/4 of a litre of lemonade and pour it into glasses that each hold 1/4 litre. How many glasses can you fill?
- FR: Tu as 3/4 de litre de limonade et tu la verses dans des verres qui contiennent chacun 1/4 de litre. Combien de verres peux-tu remplir?
- Choices: A) 2 B) 4 C) 3 D) 1
- Hint: To divide fractions, multiply by the reciprocal. For example, 2/3 ÷ 1/3 = 2/3 × 3/1 = 6/3 = 2. Flip the second fraction and multiply!
- Steps:
- Step 1: 2/3 ÷ 1/3 = 2/3 × 3/1 = 6/3 = 2.
- Step 2: 3/4 ÷ 1/4 = 3/4 × 4/1. Multiply and simplify.
- Answer: 3
[Medium] Rates Problem
- EN: A car travels 120 km in 2 hours. What is its speed in kilometres per hour?
- FR: Une voiture parcourt 120 km en 2 heures. Quelle est sa vitesse en kilomètres par heure?
- Choices: A) 240 B) 80 C) 50 D) 60
- Hint: Speed = distance ÷ time. For example, 90 km in 3 hours = 90 ÷ 3 = 30 km/h. Divide your distance by your time!
- Steps:
- Step 1: 90 ÷ 3 = 30 km/h. Divide total distance by total time.
- Step 2: Divide 120 km by 2 hours to find the speed.
- Answer: 60
[Medium] Percent of a Number — Real Life
- EN: A Tim Hortons order costs $14.00. The tax is 13%. How much tax must be paid in dollars?
- FR: Une commande chez Tim Hortons coûte 14,00 $. La taxe est de 13%. Quel est le montant de la taxe en dollars?
- Choices: A) 1.82 B) 1.40 C) 2.00 D) 1.26
- Hint: To find tax, multiply the price by the tax rate as a decimal. For example, 10% of $20 = 0.10 × $20 = $2.00. Convert the percent to decimal and multiply!
- Steps:
- Step 1: 10% of $20 = 0.10 × 20 = $2.00.
- Step 2: Convert 13% to 0.13, then multiply by $14.00 to find the tax.
- Answer: 1.82
[Medium] Integer Operations
- EN: In a card game, Sophie scores +12 points in round one and –7 points in round two. What is her total score?
- FR: Dans un jeu de cartes, Sophie marque +12 points au premier tour et –7 points au deuxième. Quel est son score total?
- Choices: A) 4 B) 19 C) 5 D) 6
- Hint: Adding a negative number is the same as subtracting. For example, +15 + (–6) = 15 – 6 = 9. Subtract the negative value from the positive value!
- Steps:
- Step 1: +15 + (–6) = 15 – 6 = 9.
- Step 2: Add +12 and –7 by subtracting 7 from 12.
- Answer: 5
[Medium] Order of Operations with Brackets
- EN: Solve: (8 + 2) × 3 – 5
- FR: Résous: (8 + 2) × 3 – 5
- Choices: A) 22 B) 25 C) 29 D) 27
- Hint: In BEDMAS, solve Brackets first, then Multiply, then Subtract. For example, (4 + 3) × 2 – 1 = 7 × 2 – 1 = 14 – 1 = 13. Work step by step!
- Steps:
- Step 1: (4 + 3) × 2 – 1 = 7 × 2 – 1 = 14 – 1 = 13.
- Step 2: Solve (8 + 2) first, then multiply by 3, then subtract 5.
- Answer: 25
[Hard] Complex Fraction Division
- EN: A bag of trail mix weighs 5/6 kg. You split it equally into portions of 1/3 kg. How many portions do you get?
- FR: Un sac de mélange montagnard pèse 5/6 kg. Tu le divises en portions de 1/3 kg. Combien de portions obtiens-tu?
- Choices: A) 3 B) 2 C) 4 D) 5
- Hint: To divide fractions, flip the second fraction and multiply. For example, 4/5 ÷ 2/5 = 4/5 × 5/2 = 20/10 = 2. Flip and multiply, then simplify!
- Steps:
- Step 1: 4/5 ÷ 2/5 = 4/5 × 5/2 = 20/10 = 2 portions.
- Step 2: 5/6 ÷ 1/3 = 5/6 × 3/1 = 15/6 = 2.5. Round down for full portions.
- Answer: 2
[Hard] Multi-step Percent Problem
- EN: A hockey jersey originally costs $60. It is discounted by 20%, then an additional 10% is taken off the sale price. What is the final price in dollars?
- FR: Un chandail de hockey coûte originellement 60 $. Il est réduit de 20%, puis 10% de plus est enlevé du prix de vente. Quel est le prix final en dollars?
- Choices: A) 42 B) 44 C) 48 D) 43.2
- Hint: Apply each discount one at a time. For example, $50 with 10% off = $45; then 20% off $45 = $36. Find the price after each discount separately!
- Steps:
- Step 1: $50 – 10% = $50 – $5 = $45; $45 – 20% = $45 – $9 = $36.
- Step 2: $60 – 20% = $48; then $48 – 10% = $43.20.
- Answer: 43.2
[Hard] Algebraic Expression with Two Variables
- EN: Evaluate 4a – 2b when a
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