Daily Math — 2026-06-25
Grade 1 Problems
[Easy] Counting Apples at the Market
- EN: There are 7 apples in a basket. You add 5 more. How many apples are there now?
- FR: Il y a 7 pommes dans un panier. Tu en ajoutes 5 de plus. Combien y a-t-il de pommes maintenant?
- Choices: A) 10 B) 11 C) 12 D) 13
- Hint: When you add two numbers, count on from the bigger number. For example, 6 + 3 means start at 6 and count up 3 more: 7, 8, 9. So 6 + 3 = 9. Try the same idea with your numbers!
- Steps:
- Step 1: Let's try a similar problem: 8 + 4. Start at 8 and count up 4: 9, 10, 11, 12. So 8 + 4 = 12.
- Step 2: Always start at the bigger number and count on by the smaller number to find the total.
- Answer: 12
[Easy] Hockey Cards
- EN: Mia has 9 hockey cards. She gives 4 away to her friend. How many does she have left?
- FR: Mia a 9 cartes de hockey. Elle en donne 4 à son amie. Combien lui en reste-t-il?
- Choices: A) 3 B) 4 C) 5 D) 6
- Hint: To subtract, count backwards from the bigger number. For example, 8 − 3 means start at 8 and count back 3: 7, 6, 5. So 8 − 3 = 5. Try this with your problem!
- Steps:
- Step 1: Try 10 − 4. Start at 10 and count back 4: 9, 8, 7, 6. So 10 − 4 = 6.
- Step 2: Subtraction means taking away. Count back from the starting number to find what's left.
- Answer: 5
[Easy] Skip Counting by 2s
- EN: Count by 2s. What number comes next? 2, 4, 6, 8, ___
- FR: Compte par bonds de 2. Quel nombre vient ensuite? 2, 4, 6, 8, ___
- Choices: A) 9 B) 10 C) 11 D) 12
- Hint: Skip counting by 2s means adding 2 each time. For example: 10, 12, 14, 16 — each number is 2 more than the one before. What is 2 more than your last number?
- Steps:
- Step 1: Try this pattern: 12, 14, 16, 18, ___. Each time we add 2: 18 + 2 = 20.
- Step 2: In skip counting by 2s, just add 2 to the last number to find the next one.
- Answer: 10
[Easy] Pennies and Nickels
- EN: You have 3 pennies and 1 nickel. How many cents do you have in total?
- FR: Tu as 3 sous et 1 cinq cents. Combien de sous as-tu en tout?
- Choices: A) 4¢ B) 6¢ C) 7¢ D) 8¢
- Hint: A penny is worth 1¢ and a nickel is worth 5¢. For example, 2 pennies + 1 nickel = 2¢ + 5¢ = 7¢. Add the values together to find the total!
- Steps:
- Step 1: Try 4 pennies + 1 nickel: 4 × 1¢ + 5¢ = 4¢ + 5¢ = 9¢.
- Step 2: Find the value of each type of coin, then add them all together.
- Answer: 8¢
[Medium] Snowflakes on the Window
- EN: There are 14 snowflakes on one window and 6 on another. How many snowflakes are there altogether?
- FR: Il y a 14 flocons de neige sur une fenêtre et 6 sur une autre. Combien y a-t-il de flocons en tout?
- Choices: A) 18 B) 19 C) 20 D) 21
- Hint: To add bigger numbers, try making a ten! For example, 13 + 7: take 7 from 13 to make 10 + 10 = 20. Look for ways to make 10 in your problem!
- Steps:
- Step 1: Try 15 + 5. We know 15 + 5 = 20 because 5 fills up the next ten after 15.
- Step 2: When adding, see if the second number completes a group of ten — it makes adding fast and easy!
- Answer: 20
[Medium] Comparing Numbers
- EN: Which number is greater: 47 or 74?
- FR: Quel nombre est le plus grand : 47 ou 74?
- Choices: A) 47 B) 74 C) They are equal D) Cannot tell
- Hint: To compare two-digit numbers, look at the tens digit first. For example, 52 vs 35 — 5 tens is more than 3 tens, so 52 is greater. Check the tens digit in your problem first!
- Steps:
- Step 1: Compare 63 and 36. Tens digit of 63 is 6; tens digit of 36 is 3. Since 6 > 3, we know 63 > 36.
- Step 2: Always compare the tens digit first. The number with more tens is the greater number.
- Answer: 74
[Medium] Skip Counting by 5s
- EN: Count by 5s. What number is missing? 5, 10, 15, ___, 25
- FR: Compte par bonds de 5. Quel nombre manque? 5, 10, 15, ___, 25
- Choices: A) 18 B) 19 C) 20 D) 21
- Hint: Skip counting by 5s means adding 5 each time. For example: 30, 35, 40, 45 — each number is 5 more than before. What is 5 more than 15?
- Steps:
- Step 1: Try finding the missing number in: 25, 30, ___, 40. Adding 5 to 30 gives 35. So the missing number is 35.
- Step 2: In a skip-count-by-5s pattern, each number is always exactly 5 more than the one before it.
- Answer: 20
[Medium] Beavers on a Log
- EN: There were 18 beavers on a log. 9 jumped into the water. How many are left on the log?
- FR: Il y avait 18 castors sur un tronc. 9 ont sauté dans l'eau. Combien en reste-t-il sur le tronc?
- Choices: A) 7 B) 8 C) 9 D) 10
- Hint: For subtraction, think about what you already know. For example, if 10 − 5 = 5, then 20 − 10 = 10. Can you think of a doubles fact to help you? 9 + 9 = 18!
- Steps:
- Step 1: Try 16 − 8. We know 8 + 8 = 16, so 16 − 8 = 8. Doubles facts help with subtraction!
- Step 2: If you know that two equal groups make a number (doubles), you can subtract one group easily.
- Answer: 9
[Hard] Coins at Tim Hortons
- EN: You have 1 dime and 3 nickels. You spend 2 nickels on a treat. How many cents do you have left?
- FR: Tu as 1 pièce de 10 cents et 3 pièces de 5 cents. Tu dépenses 2 pièces de 5 cents pour une gâterie. Combien de sous te reste-t-il?
- Choices: A) 10¢ B) 15¢ C) 20¢ D) 25¢
- Hint: First find the total, then subtract what was spent. For example, 1 dime + 2 nickels = 10¢ + 10¢ = 20¢. Then if you spend 1 nickel (5¢), you have 20¢ − 5¢ = 15¢ left.
- Steps:
- Step 1: Try: 1 dime + 4 nickels = 10¢ + 20¢ = 30¢. If you spend 3 nickels (15¢), you have 30¢ − 15¢ = 15¢ left.
- Step 2: Always find the total first, then subtract the amount spent to find what remains.
- Answer: 15¢
[Hard] Counting to 100 — How Many More?
- EN: Lily has counted to 76. She wants to reach 100. How many more numbers does she need to count?
- FR: Lily a compté jusqu'à 76. Elle veut atteindre 100. Combien de nombres de plus doit-elle compter?
- Choices: A) 22 B) 23 C) 24 D) 26
- Hint: To find how many more, subtract the smaller number from the bigger number. For example, if you've counted to 85 and want to reach 100, count: 100 − 85 = 15 more to go!
- Steps:
- Step 1: Try: counted to 80, goal is 100. We calculate 100 − 80 = 20. So 20 more numbers are needed.
- Step 2: Subtract the number you are at from your goal to find how many more steps are needed.
- Answer: 24
Grade 2 Problems
[Easy] Adding at the Campsite
- EN: There are 23 campers at a campsite and 14 more arrive. How many campers are there now?
- FR: Il y a 23 campeurs à un terrain de camping et 14 autres arrivent. Combien y a-t-il de campeurs maintenant?
- Choices: A) 35 B) 36 C) 37 D) 38
- Hint: To add two-digit numbers, add the ones first, then the tens. For example, 31 + 15: ones → 1 + 5 = 6, tens → 3 + 1 = 4, so 31 + 15 = 46. Try this with your numbers!
- Steps:
- Step 1: Try 32 + 21. Ones: 2 + 1 = 3. Tens: 3 + 2 = 5. So 32 + 21 = 53.
- Step 2: Always add the ones column first, then the tens column, to find the total.
- Answer: 37
[Easy] Telling Time — Hockey Practice
- EN: Hockey practice starts at 3:00 and ends at 3:30. What time does it end?
- FR: La pratique de hockey commence à 3h00 et se termine à 3h30. À quelle heure se termine-t-elle?
- Choices: A) 2:30 B) 3:00 C) 3:30 D) 4:00
- Hint: A half hour means 30 minutes have passed. For example, if something starts at 5:00 and lasts a half hour, it ends at 5:30. The hour stays the same, and :00 becomes :30!
- Steps:
- Step 1: Try: starts at 7:00, lasts a half hour → 7:00 + 30 minutes = 7:30. The hour hand doesn't fully move; the minute hand moves to the 6.
- Step 2: Adding a half hour to an o'clock time always gives you the same hour with :30 at the end.
- Answer: 3:30
[Easy] Measuring a Pencil
- EN: A pencil is 12 cm long. A crayon is 9 cm long. How much longer is the pencil than the crayon?
- FR: Un crayon est long de 12 cm. Un crayon de couleur est long de 9 cm. De combien de centimètres le crayon est-il plus long?
- Choices: A) 1 cm B) 2 cm C) 3 cm D) 4 cm
- Hint: To find the difference in length, subtract the shorter length from the longer one. For example, a ruler is 30 cm and a pen is 16 cm: 30 − 16 = 14 cm longer. Try subtracting your two measurements!
- Steps:
- Step 1: Try: a book is 20 cm, a card is 8 cm. How much longer? 20 − 8 = 12 cm.
- Step 2: Subtract the smaller measurement from the bigger one to find the difference in length.
- Answer: 3 cm
[Easy] Counting Coins
- EN: You have 2 dimes and 3 nickels. How many cents do you have in total?
- FR: Tu as 2 pièces de 10 cents et 3 pièces de 5 cents. Combien de sous as-tu en tout?
- Choices: A) 30¢ B) 35¢ C) 40¢ D) 45¢
- Hint: Find the value of each group of coins, then add. For example, 3 dimes = 30¢ and 2 nickels = 10¢, so 30¢ + 10¢ = 40¢. Calculate each group separately, then add them!
- Steps:
- Step 1: Try: 4 dimes and 2 nickels. 4 × 10¢ = 40¢ and 2 × 5¢ = 10¢. Total: 40¢ + 10¢ = 50¢.
- Step 2: Multiply the number of each coin by its value, then add all the groups together.
- Answer: 35¢
[Medium] Subtracting at the Bakery
- EN: A bakery had 85 muffins. They sold 47. How many muffins are left?
- FR: Une boulangerie avait 85 muffins. Elle en a vendu 47. Combien de muffins reste-t-il?
- Choices: A) 36 B) 37 C) 38 D) 39
- Hint: For subtracting two-digit numbers, sometimes you need to regroup (borrow). For example, 74 − 36: ones: can't do 4 − 6, so borrow 1 ten → 14 − 6 = 8; tens: 6 − 3 = 3. Answer: 38.
- Steps:
- Step 1: Try 92 − 55. Ones: 2 − 5 needs regrouping → borrow 1 ten: 12 − 5 = 7. Tens: 8 − 5 = 3. Answer: 37.
- Step 2: When the ones digit on top is too small, borrow 1 ten (10 ones) from the tens column.
- Answer: 38
[Medium] Patterns in the Snow
- EN: The pattern is: 4, 8, 12, 16, ___. What is the next number?
- FR: Le modèle est : 4, 8, 12, 16, ___. Quel est le prochain nombre?
- Choices: A) 18 B) 19 C) 20 D) 22
- Hint: Find the rule by looking at how much each number grows. For example, 3, 6, 9, 12 — each number grows by 3. Find the difference between two numbers in your pattern, then add that to the last number!
- Steps:
- Step 1: Try: 5, 10, 15, 20, ___. The rule is +5 each time. So 20 + 5 = 25.
- Step 2: Subtract any two neighbouring numbers to find the rule, then add the rule to the last number.
- Answer: 20
[Medium] Telling Time — School Day
- EN: Recess ends at 10:30. Lunch is 1 hour later. What time is lunch?
- FR: La récréation se termine à 10h30. Le dîner est 1 heure plus tard. À quelle heure est le dîner?
- Choices: A) 10:30 B) 11:00 C) 11:30 D) 12:00
- Hint: Adding 1 hour means the hour number goes up by 1, and the minutes stay the same. For example, 2:30 + 1 hour = 3:30. Just change the hour and keep the minutes!
- Steps:
- Step 1: Try 7:30 + 1 hour. The hour goes from 7 to 8, minutes stay at 30. Answer: 8:30.
- Step 2: To add 1 hour, increase the hour digit by 1. The minutes do not change at all.
- Answer: 11:30
[Medium] Maple Syrup Bottles
- EN: A farm fills 60 bottles of maple syrup in the morning and 25 in the afternoon. How many bottles in total?
- FR: Une ferme remplit 60 bouteilles de sirop d'érable le matin et 25 l'après-midi. Combien de bouteilles en tout?
- Choices: A) 80 B) 83 C) 85 D) 90
- Hint: Add the tens first, then the ones, and combine. For example, 40 + 32: 40 + 30 = 70, then 70 + 2 = 72. Break the second number into tens and ones to make it easier!
- Steps:
- Step 1: Try 50 + 34. First: 50 + 30 = 80. Then: 80 + 4 = 84.
- Step 2: Break one number into its tens and ones, add the tens first, then add the ones.
- Answer: 85
[Hard] Making Change
- EN: You buy a snack for 63¢. You pay with 75¢. How much change do you get back?
- FR: Tu achètes une collation pour 63 ¢. Tu paies avec 75 ¢. Combien de monnaie reçois-tu?
- Choices: A) 10¢ B) 11¢ C) 12¢ D) 13¢
- Hint: To find change, subtract the cost from the amount paid. For example, you pay 80¢ for a 58¢ item: 80 − 58 = 22¢ change. Subtract the cost from what you gave!
- Steps:
- Step 1: Try: pay 90¢, cost is 67¢. 90 − 67: ones: borrow → 10 − 7 = 3; tens: 8 − 6 = 2. Change = 23¢.
- Step 2: Subtract the price from the amount paid. Regroup if needed to find the exact change.
- Answer: 12¢
[Hard] Measuring the Garden
- EN: A garden path is 48 cm long. Another path is 35 cm long. What is the total length of both paths?
- FR: Un sentier de jardin a 48 cm de long. Un autre sentier a 35 cm de long. Quelle est la longueur totale des deux sentiers?
- Choices: A) 81 cm B) 82 cm C) 83 cm D) 84 cm
- Hint: To add two-digit numbers with regrouping, add the ones first. If the ones sum is 10 or more, carry the extra ten. For example, 37 + 46: ones: 7 + 6 = 13, write 3 carry 1; tens: 3 + 4 + 1 = 8. Answer: 83.
- Steps:
- Step 1: Try 56 + 27. Ones: 6 + 7 = 13 → write 3, carry 1. Tens: 5 + 2 + 1 = 8. Answer: 83.
- Step 2: When ones digits add to 10 or more, write the units digit and carry the 1 to the tens column.
- Answer: 83 cm
Grade 3 Problems
[Easy] Multiplying Maple Cookies
- EN: A bakery puts 5 maple cookies in each box. There are 4 boxes. How many cookies are there in total?
- FR: Une boulangerie met 5 biscuits à l'érable dans chaque boîte. Il y a 4 boîtes. Combien y a-t-il de biscuits en tout?
- Choices: A) 9 B) 16 C) 20 D) 25
- Hint: Multiplication means equal groups. For example, 3 groups of 4 = 4 + 4 + 4 = 12, or 3 × 4 = 12. Count up equal groups to find the total!
- Steps:
- Step 1: Try 3 × 5 = 5 + 5 + 5 = 15. There are 3 groups of 5, so we add 5 three times.
- Step 2: Multiply by counting equal groups. The number of groups × the size of each group = total.
- Answer: 20
[Easy] Dividing Stickers
- EN: Ms. Tremblay has 12 stickers to share equally among 3 students. How many stickers does each student get?
- FR: Mme Tremblay a 12 autocollants à partager également entre 3 élèves. Combien d'autocollants chaque élève reçoit-il?
- Choices: A) 2 B) 3 C) 4 D) 6
- Hint: Division means splitting into equal groups. For example, 15 ÷ 3: how many groups of 3 are in 15? 3, 6, 9, 12, 15 — that's 5 groups. So 15 ÷ 3 = 5!
- Steps:
- Step 1: Try 20 ÷ 4. How many groups of 4 make 20? 4, 8, 12, 16, 20 — that's 5 groups. So 20 ÷ 4 = 5.
- Step 2: Count up by the divisor until you reach the total. The number of jumps is your answer.
- Answer: 4
[Easy] Fractions of a Pizza
- EN: A pizza is cut into 4 equal slices. You eat 1 slice. What fraction of the pizza did you eat?
- FR: Une pizza est coupée en 4 tranches égales. Tu manges 1 tranche. Quelle fraction de la pizza as-tu mangée?
- Choices: A) 1/2 B) 1/3 C) 1/4 D) 2/4
- Hint: A fraction shows part of a whole. The bottom number (denominator) shows how many equal parts in total, and the top number (numerator) shows how many parts you have. For example, 1 out of 3 equal parts = 1/3.
- Steps:
- Step 1: Try: a chocolate bar is cut into 2 equal pieces, you eat 1. That's 1 out of 2 = 1/2.
- Step 2: Write the number of parts you have on top, and the total number of equal parts on the bottom.
- Answer: 1/4
[Easy] Perimeter of a Rink
- EN: A small hockey rink is shaped like a rectangle. It is 10 m long and 5 m wide. What is the perimeter?
- FR: Une petite patinoire a la forme d'un rectangle. Elle mesure 10 m de long et 5 m de large. Quel est le périmètre?
- Choices: A) 15 m B) 25 m C) 30 m D) 50 m
- Hint: Perimeter of a rectangle = add all 4 sides. A rectangle has 2 long sides and 2 short sides. For example, a rectangle 6 m × 3 m: perimeter = 6 + 3 + 6 + 3 = 18 m.
- Steps:
- Step 1: Try a rectangle 8 m × 4 m. Perimeter = 8 + 4 + 8 + 4 = 24 m. Add all four sides!
- Step 2: For a rectangle, add the length twice and the width twice: P = l + l + w + w.
- Answer: 30 m
[Medium] Multiplication at the Campfire
- EN: There are 4 tents at a campsite. Each tent holds 3 campers. How many campers are there in total?
- FR: Il y a 4 tentes dans un terrain de camping. Chaque tente accueille 3 campeurs. Combien y a-t-il de campeurs en tout?
- Choices: A) 7 B) 10 C) 12 D) 16
- Hint: Multiplication is faster than repeated addition! For example, 5 tents with 2 campers each: 5 × 2 = 10, instead of 2 + 2 + 2 + 2 + 2 = 10. Use your multiplication tables!
- Steps:
- Step 1: Try 3 × 6. Think: 3 groups of 6 = 6 + 6 + 6 = 18. Or use the 3s table: 3, 6, 9, 12, 15, 18.
- Step 2: Use your times tables — practise skip counting by the multiplier to reach the answer.
- Answer: 12
[Medium] Reading a Graph — Favourite Sports
- EN: A bar graph shows: hockey = 8 students, soccer = 5 students, skating = 3 students. How many more students like hockey than skating?
- FR: Un diagramme à bandes montre : hockey = 8 élèves, soccer = 5 élèves, patinage = 3 élèves. Combien d'élèves de plus aiment le hockey que le patinage?
- Choices: A) 3 B) 4 C) 5 D) 6
- Hint: To find how many more, subtract the smaller bar from the larger bar. For example, if swimming has 9 votes and running has 4, then 9 − 4 = 5 more students prefer swimming. Read the bar values carefully!
- Steps:
- Step 1: Try: baseball = 10, tennis = 6. How many more like baseball? 10 − 6 = 4 more students.
- Step 2: Read the two values from the graph, then subtract the smaller value from the larger one.
- Answer: 5
[Medium] Division at the Bakery
- EN: A baker made 24 tarts and put them equally onto 4 trays. How many tarts are on each tray?
- FR: Un boulanger a fait 24 tartelettes et les a réparties également sur 4 plateaux. Combien de tartelettes y a-t-il sur chaque plateau?
- Choices: A) 4 B) 5 C) 6 D) 8
- Hint: Division and multiplication are related. For example, 18 ÷ 3 = ? Think: 3 × ? = 18. You know 3 × 6 = 18, so 18 ÷ 3 = 6. Use your times tables backwards!
- Steps:
- Step 1: Try 30 ÷ 5. Think: 5 × ? = 30. From the 5s table: 5 × 6 = 30. So 30 ÷ 5 = 6.
- Step 2: Think of the matching multiplication fact. The missing factor in the multiplication IS your division answer.
- Answer: 6
[Medium] Fractions on a Number Line
- EN: Which fraction is bigger: 1/2 or 1/4?
- FR: Quelle fraction est la plus grande : 1/2 ou 1/4?
- Choices: A) 1/4 B) 1/2 C) They are equal D) Cannot tell
- Hint: When the top number (numerator) is the same, the fraction with the SMALLER bottom number is bigger. Think of sharing 1 cookie: split between 2 people vs 4 people — each person gets more with fewer people! 1/2 > 1/4.
- Steps:
- Step 1: Compare 1/3 and 1/6. Imagine cutting a ribbon into 3 parts vs 6 parts — each of 3 parts is longer. So 1/3 > 1/6.
- Step 2: With the same numerator, fewer pieces means each piece is bigger. Smaller denominator = bigger fraction.
- Answer: 1/2
[Hard] Multi-Step Word Problem
- EN: Emma has 3 bags of marbles. Each bag has 10 marbles. She gives 8 marbles to her friend. How many marbles does she have left?
- FR: Emma a 3 sacs de billes. Chaque sac contient 10 billes. Elle donne 8 billes à son amie. Combien de billes lui reste-t-il?
- Choices: A) 20 B) 22 C) 24 D) 28
- Hint: Multi-step problems need two operations. First find the total, then subtract. For example: 2 bags of 5 apples = 2 × 5 = 10 apples, then give away 3: 10 − 3 = 7 apples left. Solve it one step at a time!
- Steps:
- Step 1: Try: 4 bags of 5 candies = 4 × 5 = 20 candies. Give away 6: 20 − 6 = 14 candies left.
- Step 2: Step 1 is multiplication to find the total. Step 2 is subtraction to find what remains.
- Answer: 22
[Hard] Perimeter with Unknown Side
- EN: A triangle has two sides measuring 7 m and 9 m. The perimeter is 24 m. What is the length of the third side?
- FR: Un triangle a deux côtés mesurant 7 m et 9 m. Le périmètre est de 24 m. Quelle est la longueur du troisième côté?
- Choices: A) 6 m B) 7 m C) 8 m D) 9 m
- Hint: Perimeter = sum of all sides. If you know the perimeter and two sides, subtract the known sides from the perimeter. For example, perimeter = 20, sides = 6 and 8: third side = 20 − 6 − 8 = 6.
- Steps:
- Step 1: Try: perimeter = 18, two sides are 5 and 7. Third side = 18 − 5 − 7 = 6.
- Step 2: Add the sides you know, then subtract from the total perimeter to find the missing side.
- Answer: 8 m
Grade 4 Problems
[Easy] Multiplication Table Practice
- EN: A hockey team has 7 players on the ice. There are 6 teams playing. How many players are on the ice in total?
- FR: Une équipe de hockey a 7 joueurs sur la glace. Il y a 6 équipes qui jouent. Combien de joueurs sont sur la glace en tout?
- Choices: A) 36 B) 40 C) 42 D) 48
- Hint: Use your multiplication table! For example, 6 × 8 = 48. Practice the 6s and 7s tables so you can recall them quickly. 6 × 7 is the same as 7 × 6 — the order doesn't matter!
- Steps:
- Step 1: Try 6 × 9. From the 6s table: 6, 12, 18, 24, 30, 36, 42, 48, 54. So 6 × 9 = 54.
- Step 2: Know your multiplication facts to 9 × 9. Skip count by the smaller number to find the answer.
- Answer: 42
[Easy] Decimal Place Value
- EN: What is the value of the digit 3 in the number 4.35?
- FR: Quelle est la valeur du chiffre 3 dans le nombre 4,35?
- Choices: A) 3 ones B) 3 tenths C) 3 hundredths D) 30 ones
- Hint: In a decimal number, the first digit after the decimal point is tenths and the second is hundredths. For example, in 2.67, the 6 is in the tenths place and the 7 is in the hundredths place.
- Steps:
- Step 1: In the number 5.48: 5 is ones, 4 is tenths, 8 is hundredths. Each position has a special name.
- Step 2: The first place after the decimal is always tenths (÷10), the second is hundredths (÷100).
- Answer: 3 tenths
[Easy] Area of a Rectangle
- EN: A school garden is 8 m long and 5 m wide. What is the area of the garden?
- FR: Un jardin scolaire a 8 m de long et 5 m de large. Quelle est l'aire du jardin?
- Choices: A) 13 m² B) 26 m² C) 40 m² D) 45 m²
- Hint: Area of a rectangle = length × width. For example, a rectangle 6 m × 4 m has area = 6 × 4 = 24 m². Multiply the two dimensions together and don't forget the unit m²!
- Steps:
- Step 1: Try a rectangle 7 m × 3 m. Area = 7 × 3 = 21 m². The unit is m² (square metres).
- Step 2: Always multiply length by width for a rectangle's area. The answer unit is always square units.
- Answer: 40 m²
[Easy] Comparing Fractions
- EN: Which fraction is greater: 3/4 or 2/4?
- FR: Quelle fraction est la plus grande : 3/4 ou 2/4?
- Choices: A) 2/4 B) 3/4 C) They are equal D) Cannot tell
- Hint: When fractions have the same denominator (bottom number), just compare the numerators (top numbers). For example, 5/8 vs 3/8 — since 5 > 3, we know 5/8 > 3/8. The bigger top number means the bigger fraction!
- Steps:
- Step 1: Compare 7/10 and 4/10. Same denominator (10), so compare tops: 7 > 4. Therefore 7/10 > 4/10.
- Step 2: Same denominators → compare numerators. Bigger numerator = bigger fraction. Simple!
- Answer: 3/4
[Medium] Long Division with Remainders
- EN: A farmer packs 38 jars of maple syrup into boxes of 5. How many full boxes can he make, and how many jars are left over?
- FR: Un agriculteur emballe 38 bocaux de sirop d'érable dans des boîtes de 5. Combien de boîtes pleines peut-il faire, et combien de bocaux reste-t-il?
- Choices: A) 6 boxes, 8 left B) 7 boxes, 3 left C) 7 boxes, 5 left D) 8 boxes, 2 left
- Hint: For long division, find how many times the divisor goes in without going over. For example, 29 ÷ 4: 4 × 7 = 28, so 7 goes in, with 29 − 28 = 1 left over. Answer: 7 remainder 1.
- Steps:
- Step 1: Try 43 ÷ 6. 6 × 7 = 42, which is closest to 43 without going over. 43 − 42 = 1. So 43 ÷ 6 = 7 remainder 1.
- Step 2: Divide → Multiply → Subtract → The leftover is your remainder. Check: divisor × quotient + remainder = original number.
- Answer: 7 boxes, 3 left
[Medium] Elapsed Time
- EN: A soccer game starts at 2:15 PM and ends at 4:00 PM. How long does the game last?
- FR: Un match de soccer commence à 14h15 et se termine à 16h00. Combien de temps dure le match?
- Choices: A) 1 hour 30 minutes B) 1 hour 45 minutes C) 2 hours D) 2 hours 15 minutes
- Hint: Count up from the start time to the end time. For example, 3:20 PM to 5:00 PM: from 3:20 to 4:20 is 1 hour; from 4:20 to 5:00 is 40 minutes. Total = 1 hour 40 minutes.
- Steps:
- Step 1: Try 10:10 AM to 12:00 PM. From 10:10 to 11:10 = 1 hour. From 11:10 to 12:00 = 50 minutes. Total = 1 hour 50 minutes.
- Step 2: Count full hours first, then count the remaining minutes to reach the end time.
- Answer: 1 hour 45 minutes
[Medium] Decimal Operations
- EN: A bottle of juice costs $1.75 and a granola bar costs $1.20. What is the total cost?
- FR: Une bouteille de jus coûte 1,75 $ et une barre granola coûte 1,20 $. Quel est le coût total?
- Choices: A) $2.85 B) $2.90 C) $2.95 D) $3.05
- Hint: Adding decimals is like adding whole numbers — line up the decimal points! For example, 2.45 + 1.30: ones 2+1=3, tenths 4+3=7, hundredths 5+0=5. Answer: 3.75. Line up the decimals carefully!
- Steps:
- Step 1: Try 3.62 + 2.15. Hundredths: 2+5=7. Tenths: 6+1=7. Ones: 3+2=5. Answer: 5.77.
- Step 2: Write the decimals one above the other, aligning the decimal points. Add column by column right to left.
- Answer: $2.95
[Medium] Multi-Digit Multiplication
- EN: A school orders 24 boxes of crayons. Each box has 8 crayons. How many crayons in total?
- FR: Une école commande 24 boîtes de crayons de couleur. Chaque boîte contient 8 crayons. Combien y a-t-il de crayons en tout?
- Choices: A) 172 B) 182 C) 192 D) 202
- Hint: To multiply a two-digit number by a one-digit number, break the two-digit number apart. For example, 23 × 4: (20 × 4) + (3 × 4) = 80 + 12 = 92. Use the distributive property!
- Steps:
- Step 1: Try 32 × 3. Break it: (30 × 3) + (2 × 3) = 90 + 6 = 96.
- Step 2: Split the two-digit number into tens and ones, multiply each part, then add the two results.
- Answer: 192
[Hard] Long Division — School Supplies
- EN: A teacher has 96 pencils to distribute equally among 8 classrooms. How many pencils does each classroom get?
- FR: Un enseignant a 96 crayons à distribuer également dans 8 classes. Combien de crayons chaque classe reçoit-elle?
- Choices: A) 10 B) 11 C) 12 D) 14
- Hint: For long division, think about the 8s multiplication table. For example, 72 ÷ 8: ask yourself what × 8 = 72. Since 8 × 9 = 72, the answer is 9. Think of the related multiplication fact!
- Steps:
- Step 1: Try 84 ÷ 7. Ask: 7 × ? = 84. From 7s table: 7×10=70, 7×12=84. So 84 ÷ 7 = 12. Check: 7 × 12 = 84. ✓
- Step 2: Think of the matching multiplication fact. If 8 × 12 = 96, then 96 ÷ 8 = 12.
- Answer: 12
[Hard] Multi-Step Area and Perimeter
- EN: A rectangular room is 9 m long and 6 m wide. A square rug has sides of 4 m. How much floor is NOT covered by the rug?
- FR: Une pièce rectangulaire a 9 m de long et 6 m de large. Un tapis carré a des côtés de 4 m. Quelle surface du plancher n'est PAS couverte par le tapis?
- Choices: A) 36 m² B) 38 m² C) 40 m² D) 54 m²
- Hint: Find the area of the room, find the area of the rug, then subtract. For example, a room 10×5=50 m² with a rug 3×3=9 m²: uncovered area = 50 − 9 = 41 m².
- Steps:
- Step 1: Try: room is 8×7=56 m², rug is 5×5=25 m². Uncovered = 56 − 25 = 31 m².
- Step 2: Area of room − area of rug = uncovered area. A square's area = side × side.
- Answer: 38 m²
Grade 5 Problems
[Easy] Multi-Digit Multiplication
- EN: A school store sells 125 erasers each week. How many erasers are sold in 4 weeks?
- FR: Une papeterie scolaire vend 125 gommes à effacer par semaine. Combien de gommes sont vendues en 4 semaines?
- Choices: A) 400 B) 450 C) 500 D) 525
- Hint: To multiply a 3-digit number by a 1-digit number, multiply each place value. For example, 213 × 3: (200×3) + (10×3) + (3×3) = 600 + 30 + 9 = 639.
- Steps:
- Step 1: Try 142 × 3. Hundreds: 100×3=300. Tens: 40×3=120. Ones: 2×3=6. Total: 300+120+6=426.
- Step 2: Multiply each digit by the single digit and add the results: ones, tens, hundreds — don't forget to carry!
- Answer: 500
[Easy] Adding Fractions with Like Denominators
- EN: At a school bake sale, 2/8 of the muffins are blueberry and 3/8 are chocolate. What fraction are blueberry or chocolate?
- FR: À une vente de pâtisseries scolaire, 2/8 des muffins sont aux bleuets et 3/8 sont au chocolat. Quelle fraction est aux bleuets ou au chocolat?
- Choices: A) 5/16 B) 5/8 C) 6/8 D) 1/2
- Hint: To add fractions with the same denominator, just add the numerators and keep the denominator. For example, 1/5 + 3/5 = (1+3)/5 = 4/5. The bottom number stays the same!
- Steps:
- Step 1: Try 2/9 + 4/9. Same denominator → add tops: 2 + 4 = 6. Keep the 9. Answer: 6/9.
- Step 2: When denominators are equal, add only the numerators. The denominator does not change.
- Answer: 5/8
[Easy] Percentage — Finding 50%
- EN: A hockey jersey originally costs $40. It is on sale for 50% off. How much is the discount?
- FR: Un chandail de hockey coûte originalement 40 $. Il est en solde à 50 % de rabais. Quel est le rabais?
- Choices: A) $5 B) $10 C) $20 D) $25
- Hint: 50% means half. To find 50% of a number, simply divide it by 2. For example, 50% of $60 = $60 ÷ 2 = $30. Divide by 2!
- Steps:
- Step 1: Try 50% of $90. Divide $90 ÷ 2 = $45. So 50% of $90 = $45.
- Step 2: 50% always equals one half. Divide the number by 2 to find 50% of any amount.
- Answer: $20
[Easy] Volume of a Rectangular Prism
- EN: A box is 5 cm long, 3 cm wide, and 2 cm tall. What is the volume of the box?
- FR: Une boîte a 5 cm de long, 3 cm de large et 2 cm de haut. Quel est le volume de la boîte?
- Choices: A) 10 cm³ B) 20 cm³ C) 30 cm³ D) 16 cm³
- Hint: Volume of a rectangular prism = length × width × height. For example, a box 4 cm × 2 cm × 3 cm: V = 4 × 2 × 3 = 24 cm³. Multiply all three dimensions!
- Steps:
- Step 1: Try a box 6 cm × 2 cm × 4 cm. V = 6 × 2 × 4 = 48 cm³. Multiply the three measurements.
- Step 2: V = l × w × h. The unit for volume is cm³ (cubic centimetres). Multiply all three together.
- Answer: 30 cm³
[Medium] Multi-Digit Division
- EN: A camp orders 336 granola bars to share equally among 8 cabins. How many granola bars does each cabin get?
- FR: Un camp commande 336 barres granola à partager également entre 8 cabines. Combien de barres granola chaque cabine reçoit-elle?
- Choices: A) 38 B) 40 C) 42 D) 44
- Hint: For long division with 3-digit numbers, divide the hundreds first, then bring down the tens. For example, 248 ÷ 4: 24 ÷ 4 = 6, bring down 8: 8 ÷ 4 = 2. Answer: 62.
- Steps:
- Step 1: Try 264 ÷ 6. 6 goes into 26 four times (6×4=24), remainder 2. Bring down 4 → 24 ÷ 6 = 4. Answer: 44.
- Step 2: Divide step by step from left to right: divide, multiply, subtract, bring down — repeat.
- Answer: 42
[Medium] Decimal Operations — Tim Hortons Order
- EN: You buy 3 muffins at $1.35 each at Tim Hortons. What is the total cost?
- FR: Tu achètes 3 muffins à 1,35 $ chacun chez Tim Hortons. Quel est le coût total?
- Choices: A) $3.95 B) $4.05 C) $4.15 D) $4.25
- Hint: To multiply a decimal by a whole number, ignore the decimal first, multiply, then place the decimal. For example, 3 × $2.25: 3 × 225 = 675, then place decimal → $6.75.
- Steps:
- Step 1: Try 4 × $2.12. Ignore decimal: 4 × 212 = 848. Two decimal places → $8.48.
- Step 2: Multiply as whole numbers, then count the decimal places in the original number and place the decimal in your answer.
- Answer: $4.05
[Medium] Subtracting Fractions with Like Denominators
- EN: A pitcher has 7/10 L of lemonade. You pour out 3/10 L. How much is left?
- FR: Un pichet contient 7/10 L de limonade. Tu verses 3/10 L. Quelle quantité reste-t-il?
- Choices: A) 3/10 B) 4/10 C) 5/10 D) 10/10
- Hint: To subtract fractions with the same denominator, just subtract the numerators and keep the denominator. For example, 6/7 − 2/7 = (6−2)/7 = 4/7. Keep the bottom, subtract the tops!
- Steps:
- Step 1: Try 8/11 − 3/11. Same denominator → subtract tops: 8 − 3 = 5. Keep 11. Answer: 5/11.
- Step 2: Subtract only the numerators. The denominator stays the same throughout.
- Answer: 4/10
[Medium] Finding 25% and 10%
- EN: A pair of skates costs $80. The store offers 25% off. What is the sale price?
- FR: Une paire de patins coûte 80 $. Le magasin offre 25 % de rabais. Quel est le prix de vente?
- Choices: A) $55 B) $60 C) $65 D) $70
- Hint: 25% = one quarter. To find 25%, divide by 4. For example, 25% of $60 = $60 ÷ 4 = $15 discount. Then subtract: $60 − $15 = $45. Find 25%, then subtract from original!
- Steps:
- Step 1: Try 25% of $120. $120 ÷ 4 = $30 discount. Sale price = $120 − $30 = $90.
- Step 2: Divide by 4 to find 25%. Then subtract that amount from the original price for the sale price.
- Answer: $60
[Hard] Multi-Step Problem — Maple Syrup
- EN: A sugar shack produces 144 litres of maple syrup. It is poured equally into 6 large cans. Then 3 cans are sold. How many litres remain?
- FR: Une cabane à sucre produit 144 litres de sirop d'érable. Il est versé également dans 6 grands bidons. Ensuite, 3 bidons sont vendus. Combien de litres reste-t-il?
- Choices: A) 48 L B) 60 L C) 72 L D) 84 L
- Hint: Multi-step problems: first divide to find each can's amount, then multiply to find how much was sold, then subtract. For example, 120 L in 4 cans = 30 L each. If 2 cans sold: 60 L sold, 60 L left.
- Steps:
- Step 1: Try 160 L in 8 cans = 20 L each. Sell 5 cans = 5 × 20 = 100 L sold. Remaining = 160 − 100 = 60 L.
- Step 2: Step 1: Divide total by number of cans. Step 2: Multiply to find sold amount. Step 3: Subtract to find remainder.
- Answer: 72 L
[Hard] Volume and Area Combined
- EN: A rectangular sandbox is 4 m long, 3 m wide, and 0.5 m deep. What is the volume of sand needed to fill it?
- FR: Un bac à sable rectangulaire a 4 m de long, 3 m de large et 0,5 m de profondeur. Quel est le volume de sable nécessaire pour le remplir?
- Choices: A) 4 m³ B) 5 m³ C) 6 m³ D) 7 m³
- Hint: Volume = length × width × height. For example, 5 m × 2 m × 0.5 m = 5 × 2 × 0.5. Work left to right: 5 × 2 = 10, then 10 × 0.5 = 5 m³. Multiply all three dimensions!
- Steps:
- Step 1: Try 6 m × 2 m × 0.5 m. First: 6 × 2 = 12. Then: 12 × 0.5 = 6 m³.
- Step 2: V = l × w × h. Multiply 0.5 last — it's the same as dividing by 2, which keeps calculation simple.
- Answer: 6 m³
Grade 6 Problems
[Easy] Percent of a Number
- EN: What is 10% of $90?
- FR: Quel est 10 % de 90 $?
- Choices: A) $7 B) $8 C) $9 D) $10
- Hint: To find 10% of a number, divide it by 10. For example, 10% of $50 = $50 ÷ 10 = $5. Just move the decimal one place to the left!
- Steps:
- Step 1: Try 10% of $70. $70 ÷ 10 = $7. Or move the decimal: 70 → 7.0 = $7.
- Step 2: 10% = one tenth. Divide by 10, or move the decimal one place left. Quick and easy!
- Answer: $9
[Easy] Integer Introduction — Temperature
- EN: The temperature in Winnipeg is −5°C in the morning. By noon it rises 8°C. What is the temperature at noon?
- FR: La température à Winnipeg est de −5 °C le matin. À midi, elle monte de 8 °C. Quelle est la température à midi?
- Choices: A) 1°C B) 2°C C) 3°C D) 4°C
- Hint: To add a positive number to a negative number, start at the negative number and count up. For example, −3 + 7: start at −3, count up 7 → −2, −1, 0, 1, 2, 3, 4. Answer: 4!
- Steps:
- Step 1: Try −4 + 9. Start at −4, count up 9 steps: −3, −2, −1, 0, 1, 2, 3, 4, 5. Answer: 5.
- Step 2: On a number line, negative + positive means moving right. If the positive is bigger, the result is positive.
- Answer: 3°C
[Easy] Simple Algebraic Expression
- EN: Evaluate 4n + 3 when n = 5.
- FR: Évalue 4n + 3 quand n = 5.
- Choices: A) 20 B) 22 C) 23 D) 27
- Hint: To evaluate an expression, substitute the value in place of the letter. For example, 3n + 2 when n = 4: 3(4) + 2 = 12 + 2 = 14. Replace the letter with the number and calculate!
- Steps:
- Step 1: Try 5n + 1 when n = 3. Substitute: 5(3) + 1 = 15 + 1 = 16.
- Step 2: Replace the variable with the given number. Multiply first (order of operations), then add.
- Answer: 23
[Easy] Ratio — Mixing Lemonade
- EN: A lemonade recipe uses 2 cups of lemon juice for every 5 cups of water. What is the ratio of lemon juice to water?
- FR: Une recette de limonade utilise 2 tasses de jus de citron pour 5 tasses d'eau. Quel est le rapport du jus de citron à l'eau?
- Choices: A) 5:2 B) 2:5 C) 2:7 D) 5:7
- Hint: A ratio compares two quantities in order. For example, if there are 3 red marbles and 7 blue marbles, the ratio of red to blue is 3:7. Write the first quantity mentioned first!
- Steps:
- Step 1: Try: a trail mix has 4 cups of nuts and 6 cups of raisins. Ratio of nuts to raisins = 4:6.
- Step 2: Write the numbers in the order asked. The first item's quantity goes first in the ratio.
- Answer: 2:5
[Easy] Order of Operations (BEDMAS)
- EN: Calculate: 3 + 2 × 4
- FR: Calcule : 3 + 2 × 4
- Choices: A) 20 B) 16 C) 11 D) 10
- Hint: BEDMAS says do multiplication before addition. For example, 5 + 3 × 2 = 5 + 6 = 11 (NOT 8 × 2 = 16). Always multiply before you add or subtract!
- Steps:
- Step 1: Try 6 + 4 × 3. First multiply: 4 × 3 = 12. Then add: 6 + 12 = 18.
- Step 2: BEDMAS order: Brackets → Exponents → Division/Multiplication → Addition/Subtraction. Multiply before adding.
- Answer: 11
[Medium] Fraction Multiplication
- EN: A recipe needs 3/4 of a cup of maple syrup. You want to make 2 batches. How much maple syrup do you need?
- FR: Une recette nécessite 3/4 de tasse de sirop d'érable. Tu veux faire 2 portions. De quelle quantité de sirop as-tu besoin?
- Choices: A) 3/4 B) 5/4 C) 6/4 D) 8/4
- Hint: To multiply a fraction by a whole number, multiply the numerator by the whole number and keep the denominator. For example, 2 × 2/5 = (2×2)/5 = 4/5.
- Steps:
- Step 1: Try 3 × 2/7. Multiply the top: 3 × 2 = 6. Keep the denominator: 7. Answer: 6/7.
- Step 2: Whole number × fraction = (whole × numerator) ÷ denominator. Only the numerator gets multiplied.
- Answer: 6/4
[Medium] Fraction Division
- EN: You have 3/4 of a pizza. You want to split it equally among 3 friends. What fraction does each friend get?
- FR: Tu as 3/4 d'une pizza. Tu veux la partager également entre 3 amis. Quelle fraction chaque ami reçoit-il?
- Choices: A) 1/4 B) 2/4 C) 3/12 D) 9/4
- Hint: Dividing a fraction by a whole number means multiplying by its reciprocal. For example, (2/5) ÷ 2 = 2/5 × 1/2 =
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