Daily Math — 2026-06-20
Grade 1 Problems
[Easy] Counting Hockey Pucks
- EN: There are 7 hockey pucks on the ice. 3 more are added. How many pucks are there now?
- FR: Il y a 7 rondelles de hockey sur la glace. On en ajoute 3 de plus. Combien y a-t-il de rondelles maintenant ?
- Choices: A) 9 B) 10 C) 11 D) 8
- Hint: Count on from 7 by adding 3 more.
- Steps:
- Start at 7.
- Count 3 more: 8, 9, 10.
- Answer: 10
[Easy] Maple Syrup Bottles
- EN: A farmer has 5 bottles of maple syrup. She sells 2 bottles. How many bottles are left?
- FR: Une agricultrice a 5 bouteilles de sirop d'érable. Elle en vend 2. Combien de bouteilles reste-t-il ?
- Choices: A) 4 B) 2 C) 3 D) 7
- Hint: Start with 5 and take away 2.
- Steps:
- Start at 5.
- Take away 2: 5 − 2 = 3.
- Answer: 3
[Easy] Skip Counting by 2s
- EN: Skip count by 2s: 2, 4, 6, 8, ___. What is the next number?
- FR: Compte par bonds de 2 : 2, 4, 6, 8, ___. Quel est le prochain nombre ?
- Choices: A) 9 B) 11 C) 10 D) 12
- Hint: Add 2 to the last number in the pattern.
- Steps:
- The last number is 8.
- Add 2: 8 + 2 = 10.
- Answer: 10
[Easy] Pennies in a Piggy Bank
- EN: Liam has 6 pennies. His sister gives him 4 more pennies. How many pennies does he have in all?
- FR: Liam a 6 sous. Sa sœur lui en donne 4 de plus. Combien de sous a-t-il en tout ?
- Choices: A) 8 B) 11 C) 9 D) 10
- Hint: Put the two groups of pennies together.
- Steps:
- Start at 6.
- Add 4: 6 + 4 = 10.
- Answer: 10
[Medium] Snowflakes on a Mitten
- EN: There are 14 snowflakes on a mitten. 6 melt away. How many snowflakes are left?
- FR: Il y a 14 flocons de neige sur une mitaine. 6 fondent. Combien de flocons reste-t-il ?
- Choices: A) 7 B) 9 C) 8 D) 20
- Hint: Count back 6 from 14.
- Steps:
- Start at 14.
- Count back 6: 14 − 6 = 8.
- Answer: 8
[Medium] Camping Tents
- EN: There are 9 tents at a campsite. 5 more tents are set up. How many tents are there altogether?
- FR: Il y a 9 tentes dans un terrain de camping. On installe 5 tentes de plus. Combien y a-t-il de tentes en tout ?
- Choices: A) 13 B) 4 C) 15 D) 14
- Hint: Add the two groups of tents together.
- Steps:
- Start at 9.
- Add 5: 9 + 5 = 14.
- Answer: 14
[Medium] Skip Counting by 5s
- EN: Skip count by 5s: 5, 10, 15, ___. What is the next number?
- FR: Compte par bonds de 5 : 5, 10, 15, ___. Quel est le prochain nombre ?
- Choices: A) 16 B) 25 C) 18 D) 20
- Hint: Add 5 to the last number.
- Steps:
- The last number is 15.
- Add 5: 15 + 5 = 20.
- Answer: 20
[Medium] Comparing Numbers
- EN: Which number is greater: 13 or 17?
- FR: Quel nombre est le plus grand : 13 ou 17 ?
- Choices: A) 13 B) 15 C) 17 D) 16
- Hint: Think about which number comes later when counting.
- Steps:
- Count up: 13 comes before 17.
- 17 is farther along, so it is greater.
- Answer: 17
[Hard] Tim Hortons Timbits
- EN: Ana buys 10 Timbits. She eats 3 and gives 4 to her friend. How many Timbits does she have left?
- FR: Ana achète 10 Timbits. Elle en mange 3 et en donne 4 à son amie. Combien de Timbits lui reste-t-il ?
- Choices: A) 4 B) 2 C) 3 D) 5
- Hint: First take away the ones she ate, then take away the ones she gave away.
- Steps:
- 10 − 3 = 7 after eating.
- 7 − 4 = 3 after giving to her friend.
- Answer: 3
[Hard] Counting to 100 — Nickels
- EN: You have 4 nickels. Each nickel is worth 5 cents. How many cents do you have in all?
- FR: Tu as 4 pièces de 5 cents. Chaque pièce vaut 5 cents. Combien de cents as-tu en tout ?
- Choices: A) 15 B) 25 C) 20 D) 9
- Hint: Skip count by 5s four times.
- Steps:
- Count by 5s: 5, 10, 15, 20.
- After 4 nickels you have 20 cents.
- Answer: 20
Grade 2 Problems
[Easy] Adding at the School Store
- EN: A pencil costs 25¢ and an eraser costs 10¢. How much do they cost together?
- FR: Un crayon coûte 25 ¢ et une gomme à effacer coûte 10 ¢. Combien coûtent-ils ensemble ?
- Choices: A) 30¢ B) 35¢ C) 40¢ D) 15¢
- Hint: Add the two amounts together.
- Steps:
- 25 + 10 = 35.
- They cost 35¢ together.
- Answer: 35
[Easy] Snowfall Measurement
- EN: It snowed 12 cm on Monday and 15 cm on Tuesday. How much snow fell in total?
- FR: Il a neigé 12 cm lundi et 15 cm mardi. Quelle quantité de neige est tombée en tout ?
- Choices: A) 25 B) 28 C) 27 D) 3
- Hint: Add both amounts of snowfall together.
- Steps:
- 12 + 15 = 27.
- Total snowfall is 27 cm.
- Answer: 27
[Easy] Telling Time
- EN: The clock shows 3 o'clock. Hockey practice starts in 1 hour. What time does practice start?
- FR: L'horloge indique 3 heures. La pratique de hockey commence dans 1 heure. À quelle heure commence la pratique ?
- Choices: A) 2 B) 5 C) 4 D) 3
- Hint: Move the hour hand forward by 1 hour.
- Steps:
- Start at 3 o'clock.
- Add 1 hour: 3 + 1 = 4 o'clock.
- Answer: 4
[Easy] Subtraction on the Farm
- EN: A maple farm has 68 bottles of syrup. They sell 20 bottles. How many are left?
- FR: Une ferme acéricole a 68 bouteilles de sirop. Elle en vend 20. Combien en reste-t-il ?
- Choices: A) 88 B) 48 C) 38 D) 58
- Hint: Subtract the tens first.
- Steps:
- 68 − 20: subtract the tens: 6 − 2 = 4 tens.
- Answer is 48.
- Answer: 48
[Medium] Coin Counting
- EN: Maya has 3 dimes, 2 nickels, and 1 penny. How many cents does she have in all?
- FR: Maya a 3 pièces de 10 cents, 2 pièces de 5 cents et 1 sou. Combien de cents a-t-elle en tout ?
- Choices: A) 6 B) 40 C) 41 D) 36
- Hint: Find the value of each type of coin, then add them all.
- Steps:
- 3 dimes = 30¢; 2 nickels = 10¢; 1 penny = 1¢.
- 30 + 10 + 1 = 41¢.
- Answer: 41
[Medium] Longer or Shorter?
- EN: A hockey stick is 95 cm long. A hockey puck is 8 cm wide. How much longer is the stick than the puck?
- FR: Un bâton de hockey mesure 95 cm de long. Une rondelle de hockey mesure 8 cm de large. De combien le bâton est-il plus long que la rondelle ?
- Choices: A) 83 B) 87 C) 103 D) 77
- Hint: Subtract the shorter length from the longer length.
- Steps:
- 95 − 8 = 87.
- The stick is 87 cm longer.
- Answer: 87
[Medium] Camping Pattern
- EN: A camping store arranges tents in a pattern: red, blue, red, blue, red, ___. The pattern repeats. What colour comes next? (red = 1, blue = 2)
- FR: Un magasin de camping dispose des tentes en motif : rouge, bleu, rouge, bleu, rouge, ___. Quel couleur vient ensuite ? (rouge = 1, bleu = 2)
- Choices: A) 1 B) 3 C) 2 D) 4
- Hint: Look at what always comes after red in the pattern.
- Steps:
- The pattern is red, blue repeating.
- After red comes blue (= 2).
- Answer: 2
[Medium] Adding Within 100
- EN: There are 47 students going to a hockey game. 36 more students join them. How many students are going in all?
- FR: 47 élèves vont à un match de hockey. 36 autres élèves se joignent à eux. Combien d'élèves y vont en tout ?
- Choices: A) 11 B) 73 C) 83 D) 84
- Hint: Add the ones first, then the tens.
- Steps:
- Ones: 7 + 6 = 13, write 3 carry 1.
- Tens: 4 + 3 + 1 = 8, so 83.
- Answer: 83
[Hard] Telling Time — Half Hour
- EN: School starts at half past 8 in the morning. If it is now 8 o'clock, how many minutes until school starts?
- FR: L'école commence à 8 h 30. S'il est maintenant 8 heures, combien de minutes avant que l'école commence ?
- Choices: A) 15 B) 60 C) 45 D) 30
- Hint: Think about how many minutes are in half an hour.
- Steps:
- Half past 8 means 8:30.
- From 8:00 to 8:30 is 30 minutes.
- Answer: 30
[Hard] Two-Step Shopping
- EN: Jake has 75¢. He spends 30¢ on a sticker and 25¢ on a bookmark. How many cents does he have left?
- FR: Jake a 75 ¢. Il dépense 30 ¢ pour un autocollant et 25 ¢ pour un signet. Combien de cents lui reste-t-il ?
- Choices: A) 25 B) 30 C) 20 D) 15
- Hint: Subtract both amounts one at a time from 75.
- Steps:
- 75 − 30 = 45.
- 45 − 25 = 20.
- Answer: 20
Grade 3 Problems
[Easy] Multiplication on the Ice
- EN: There are 4 hockey teams. Each team has 5 players on the ice. How many players are on the ice in all?
- FR: Il y a 4 équipes de hockey. Chaque équipe a 5 joueurs sur la glace. Combien de joueurs y a-t-il en tout sur la glace ?
- Choices: A) 9 B) 25 C) 20 D) 15
- Hint: Use your 4 times table or 5 times table.
- Steps:
- 4 × 5 = 20.
- There are 20 players on the ice.
- Answer: 20
[Easy] Sharing Maple Tarts
- EN: 12 maple tarts are shared equally among 3 friends. How many tarts does each friend get?
- FR: 12 tartelettes à l'érable sont partagées également entre 3 amis. Combien de tartelettes chaque ami reçoit-il ?
- Choices: A) 5 B) 3 C) 4 D) 6
- Hint: Think: 3 times what number equals 12?
- Steps:
- 12 ÷ 3 = 4.
- Each friend gets 4 tarts.
- Answer: 4
[Easy] Fraction of a 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 tranches égales. Emma mange 1 tranche. Quelle fraction de la pizza a-t-elle mangée ?
- Choices: A) 3 B) 4 C) 2 D) 1
- Hint: The fraction is 1 piece out of 4 total pieces. What is the bottom number?
- Steps:
- 1 slice out of 4 total slices = 1/4.
- The bottom number (denominator) is 4.
- Answer: 4
[Easy] Skip Counting by 10s
- EN: Count by 10s: 10, 20, 30, ___. What is the next number?
- FR: Compte par bonds de 10 : 10, 20, 30, ___. Quel est le prochain nombre ?
- Choices: A) 35 B) 50 C) 31 D) 40
- Hint: Add 10 to the last number.
- Steps:
- Last number is 30.
- 30 + 10 = 40.
- Answer: 40
[Medium] Perimeter of a Rink
- EN: A small rectangular ice rink is 8 m long and 5 m wide. What is the perimeter of the rink?
- FR: Une petite patinoire rectangulaire mesure 8 m de long et 5 m de large. Quel est le périmètre de la patinoire ?
- Choices: A) 40 B) 26 C) 13 D) 28
- Hint: Add all four sides together.
- Steps:
- Perimeter = 8 + 5 + 8 + 5.
- 8 + 5 + 8 + 5 = 26.
- Answer: 26
[Medium] Multiplication by 3
- EN: A Tim Hortons box holds 3 donuts. There are 7 boxes. How many donuts are there in total?
- FR: Une boîte de Tim Hortons contient 3 beignes. Il y a 7 boîtes. Combien y a-t-il de beignes en tout ?
- Choices: A) 10 B) 18 C) 24 D) 21
- Hint: Use your 3 times table.
- Steps:
- 3 × 7 = 21.
- There are 21 donuts in total.
- Answer: 21
[Medium] Reading a Bar Graph
- EN: A bar graph shows: apples = 6, bananas = 9, oranges = 4. How many more bananas than oranges are there?
- FR: Un diagramme à barres montre : pommes = 6, bananes = 9, oranges = 4. Combien y a-t-il de bananes de plus que d'oranges ?
- Choices: A) 13 B) 4 C) 6 D) 5
- Hint: Subtract the smaller number from the larger number.
- Steps:
- Bananas = 9, Oranges = 4.
- 9 − 4 = 5.
- Answer: 5
[Medium] Division with Equal Groups
- EN: 20 campers are divided equally into 4 canoes. How many campers are in each canoe?
- FR: 20 campeurs sont répartis également dans 4 canoës. Combien de campeurs y a-t-il dans chaque canoë ?
- Choices: A) 16 B) 24 C) 5 D) 4
- Hint: Think: 4 times what equals 20?
- Steps:
- 20 ÷ 4 = 5.
- Each canoe has 5 campers.
- Answer: 5
[Hard] Two-Step Multiplication Problem
- EN: A store sells maple syrup in packs of 5 bottles. A school orders 4 packs in the morning and 3 packs in the afternoon. How many bottles did the school order in all?
- FR: Un magasin vend du sirop d'érable en paquets de 5 bouteilles. Une école commande 4 paquets le matin et 3 paquets l'après-midi. Combien de bouteilles l'école a-t-elle commandées en tout ?
- Choices: A) 12 B) 35 C) 40 D) 30
- Hint: First find the total number of packs, then multiply by 5.
- Steps:
- Total packs: 4 + 3 = 7.
- 7 × 5 = 35 bottles.
- Answer: 35
[Hard] Fractions of a Group
- EN: There are 12 students in a class. One quarter of them brought a loonie for the school fundraiser. How many students brought a loonie?
- FR: Il y a 12 élèves dans une classe. Un quart d'entre eux ont apporté un dollar pour la collecte de fonds scolaire. Combien d'élèves ont apporté un dollar ?
- Choices: A) 6 B) 4 C) 3 D) 8
- Hint: Divide the total into 4 equal groups.
- Steps:
- 1/4 of 12 = 12 ÷ 4.
- 12 ÷ 4 = 3 students.
- Answer: 3
Grade 4 Problems
[Easy] Multiplication Facts
- EN: A hockey arena has 7 rows of seats. Each row has 8 seats. How many seats are there in all?
- FR: Un aréna de hockey a 7 rangées de sièges. Chaque rangée a 8 sièges. Combien y a-t-il de sièges en tout ?
- Choices: A) 54 B) 56 C) 48 D) 63
- Hint: Use the 7 times table.
- Steps:
- 7 × 8 = 56.
- There are 56 seats in all.
- Answer: 56
[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 B) 30 C) 300 D) 0
- Hint: Look at which place the 3 is in — tenths or hundredths?
- Steps:
- In 4.35, the digit after the decimal point is in the tenths place.
- 3 is in the tenths place, so its value is 3 tenths.
- Answer: 3
[Easy] Area of a Rectangle
- EN: A school garden is 6 m long and 4 m wide. What is the area of the garden?
- FR: Un jardin scolaire mesure 6 m de long et 4 m de large. Quelle est l'aire du jardin ?
- Choices: A) 10 B) 20 C) 24 D) 28
- Hint: Multiply length by width to find area.
- Steps:
- Area = 6 × 4.
- 6 × 4 = 24 m².
- Answer: 24
[Easy] Comparing Fractions
- EN: Which fraction is greater: 3/4 or 1/4? (Enter the numerator of the greater fraction.)
- FR: Quelle fraction est la plus grande : 3/4 ou 1/4 ? (Entrez le numérateur de la fraction la plus grande.)
- Choices: A) 1 B) 4 C) 3 D) 2
- Hint: Both fractions have the same denominator, so compare the tops.
- Steps:
- Same denominator (4), so compare numerators: 3 > 1.
- 3/4 is greater; its numerator is 3.
- Answer: 3
[Medium] Long Division with Remainder
- EN: 53 students are put into groups of 6. How many groups are made, and how many students are left over? (Enter the remainder.)
- FR: 53 élèves sont répartis en groupes de 6. Combien de groupes sont formés et combien d'élèves reste-t-il ? (Entrez le reste.)
- Choices: A) 3 B) 5 C) 2 D) 1
- Hint: Find how many times 6 goes into 53, then see what is left.
- Steps:
- 6 × 8 = 48; 6 × 9 = 54 (too big).
- 53 − 48 = 5 remainder.
- Answer: 5
[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) 145 D) 150
- Hint: Count from 1:15 to 3:45 in steps.
- Steps:
- 1:15 to 3:15 = 120 minutes.
- 3:15 to 3:45 = 30 more minutes.
- Total: 120 + 30 = 150 minutes.
- Answer: 150
[Medium] Decimal Operations
- EN: A bag of trail mix costs $3.75. Another bag costs $2.50. What is the total cost?
- FR: Un sac de mélange montagnard coûte 3,75 $. Un autre sac coûte 2,50 $. Quel est le coût total ?
- Choices: A) 5.25 B) 6.25 C) 6.00 D) 7.25
- Hint: Line up the decimal points and add.
- Steps:
- 3.75 + 2.50: add hundredths: 5+0=5; tenths: 7+5=12, carry 1; ones: 3+2+1=6.
- Total = $6.25.
- Answer: 6.25
[Medium] Multiplication — Multi-digit
- EN: A camping store orders 24 boxes of granola bars. Each box has 9 bars. How many granola bars are there in total?
- FR: Un magasin de camping commande 24 boîtes de barres granola. Chaque boîte a 9 barres. Combien y a-t-il de barres granola en tout ?
- Choices: A) 196 B) 216 C) 206 D) 186
- Hint: Multiply 24 by 9 carefully.
- Steps:
- 24 × 9: 20 × 9 = 180; 4 × 9 = 36.
- 180 + 36 = 216.
- Answer: 216
[Hard] Two-Step Elapsed Time and Subtraction
- EN: Sophia starts hiking at 9:30 AM. She hikes for 2 hours and 45 minutes, then rests for 20 minutes. What time does she finish resting? (Answer as number of minutes past noon.)
- FR: Sophia commence à randonner à 9 h 30. Elle randonne pendant 2 h 45 min, puis se repose pendant 20 min. À quelle heure finit-elle de se reposer ? (Répondre en nombre de minutes après midi.)
- Choices: A) 35 B) 55 C) 25 D) 15
- Hint: Find when she finishes hiking, then add the rest time.
- Steps:
- 9:30 + 2h45m = 12:15.
- 12:15 + 20 min = 12:35.
- 12:35 is 35 minutes past noon.
- Answer: 35
[Hard] Multi-step Word Problem
- EN: A school fundraiser sells maple syrup jars for $6 each. They sell 9 jars on Day 1 and 7 jars on Day 2. If their goal is $100, how much more money do they still need?
- FR: Une collecte de fonds vend des pots de sirop d'érable 6 $ chacun. Ils en vendent 9 le premier jour et 7 le deuxième jour. Si leur objectif est de 100 $, combien d'argent leur manque-t-il encore ?
- Choices: A) 8 B) 6 C) 4 D) 10
- Hint: Find total sales, then subtract from $100.
- Steps:
- Total jars: 9 + 7 = 16 jars.
- Total money: 16 × $6 = $96.
- Still need: $100 − $96 = $4.
- Answer: 4
Grade 5 Problems
[Easy] Multi-digit Multiplication
- EN: A hockey arena has 125 rows of seats. Each row has 8 seats. How many seats are there in all?
- FR: Un aréna de hockey a 125 rangées de sièges. Chaque rangée a 8 sièges. Combien y a-t-il de sièges en tout ?
- Choices: A) 900 B) 1000 C) 1050 D) 1250
- Hint: Multiply 125 by 8 in parts.
- Steps:
- 100 × 8 = 800; 25 × 8 = 200.
- 800 + 200 = 1000.
- Answer: 1000
[Easy] Adding Fractions with Like Denominators
- EN: At a school party, one student eats 2/8 of a pizza and another eats 3/8. How much pizza did they eat in all?
- FR: À une fête scolaire, un élève mange 2/8 d'une pizza et un autre en mange 3/8. Combien de pizza ont-ils mangé en tout ?
- Choices: A) 5 B) 6 C) 4 D) 3
- Hint: Add the numerators and keep the same denominator.
- Steps:
- 2/8 + 3/8 = 5/8.
- The numerator of the answer is 5.
- Answer: 5
[Easy] Decimal Operations
- EN: A jar of maple syrup costs $8.75. A second jar costs $5.25. What is the total cost?
- FR: Un pot de sirop d'érable coûte 8,75 $. Un deuxième pot coûte 5,25 $. Quel est le coût total ?
- Choices: A) 13.00 B) 14.00 C) 13.50 D) 12.75
- Hint: Add the dollars and cents separately.
- Steps:
- $8.75 + $5.25: cents: 75 + 25 = 100 = $1.00.
- Dollars: 8 + 5 + 1 = $14.00.
- Answer: 14
[Easy] 10% of a Number
- EN: A school supply store is having a 10% off sale. A backpack costs $60. How much is the discount?
- FR: Un magasin de fournitures scolaires offre 10 % de rabais. Un sac à dos coûte 60 $. Quel est le rabais ?
- Choices: A) 6 B) 10 C) 60 D) 54
- Hint: 10% means one tenth of the total.
- Steps:
- 10% of 60 = 60 ÷ 10.
- 60 ÷ 10 = 6.
- Answer: 6
[Medium] Multi-digit Division
- EN: 756 students are divided equally into 9 classes. How many students are in each class?
- FR: 756 élèves sont répartis également dans 9 classes. Combien d'élèves y a-t-il dans chaque classe ?
- Choices: A) 82 B) 84 C) 86 D) 76
- Hint: Divide 756 by 9 step by step.
- Steps:
- 9 × 80 = 720; 756 − 720 = 36.
- 36 ÷ 9 = 4; so 80 + 4 = 84.
- Answer: 84
[Medium] Subtracting Fractions
- EN: A campfire burns through 7/10 of a log. Then 2/10 more burns. What fraction of the log is left?
- FR: Un feu de camp brûle 7/10 d'une bûche. Puis 2/10 de plus brûlent. Quelle fraction de la bûche reste-t-il ?
- Choices: A) 1 B) 5 C) 3 D) 2
- Hint: Add the burned fractions, then subtract from 1 whole.
- Steps:
- Total burned: 7/10 + 2/10 = 9/10.
- Left: 10/10 − 9/10 = 1/10; numerator is 1.
- Answer: 1
[Medium] Volume of a Rectangular Prism
- EN: A sandbox at a Canadian park is 4 m long, 3 m wide, and 1 m deep. What is the volume of the sandbox?
- FR: Un bac à sable dans un parc canadien mesure 4 m de long, 3 m de large et 1 m de profondeur. Quel est le volume du bac à sable ?
- Choices: A) 8 B) 14 C) 12 D) 10
- Hint: Volume = length × width × height.
- Steps:
- V = 4 × 3 × 1.
- V = 12 m³.
- Answer: 12
[Medium] 25% of a Number
- EN: A Tim Hortons gift card costs $40. You save 25% with a special offer. How much do you save?
- FR: Une carte-cadeau Tim Hortons coûte 40 $. Vous économisez 25 % grâce à une offre spéciale. Combien économisez-vous ?
- Choices: A) 4 B) 30 C) 20 D) 10
- Hint: 25% is the same as one quarter.
- Steps:
- 25% of $40 = $40 ÷ 4.
- $40 ÷ 4 = $10.
- Answer: 10
[Hard] Multi-step Fraction and Decimal Problem
- EN: A recipe needs 1/4 cup of maple syrup. If you triple the recipe and each cup costs $2.80, what is the total cost of the maple syrup?
- FR: Une recette nécessite 1/4 tasse de sirop d'érable. Si vous tripleez la recette et que chaque tasse coûte 2,80 $, quel est le coût total du sirop d'érable ?
- Choices: A) 2.80 B) 1.40 C) 2.10 D) 0.70
- Hint: First find total cups needed, then multiply by the cost per cup.
- Steps:
- Triple the recipe: 3 × 1/4 = 3/4 cup.
- Cost: 3/4 × $2.80 = 0.75 × 2.80 = $2.10.
- Answer: 2.10
[Hard] Two-step Percentage and Subtraction
- EN: A hockey jersey costs $80. It is on sale for 50% off. There is also a 10% discount on the sale price. What is the final price of the jersey?
- FR: Un chandail de hockey coûte 80 $. Il est en solde à 50 % de rabais. Il y a aussi un rabais supplémentaire de 10 % sur le prix soldé. Quel est le prix final du chandail ?
- Choices: A) 32 B) 36 C) 40 D) 28
- Hint: Apply the 50% discount first, then apply the 10% to the new price.
- Steps:
- 50% of $80 = $40 (sale price).
- 10% of $40 = $4 discount.
- Final price: $40 − $4 = $36.
- Answer: 36
Grade 6 Problems
[Easy] Percent of a Number
- EN: A hockey jersey costs $60. It is 20% off. How much is the discount?
- FR: Un chandail de hockey coûte 60 $. Il est à 20 % de rabais. Quel est le rabais ?
- Choices: A) 10 B) 12 C) 14 D) 20
- Hint: Find 20% by multiplying 60 by 0.20, or find 10% and double it.
- Steps:
- 10% of 60 = 6.
- 20% = 2 × 6 = 12.
- Answer: 12
[Easy] Order of Operations (BEDMAS)
- EN: Calculate: 3 + 4 × 2.
- FR: Calcule : 3 + 4 × 2.
- Choices: A) 14 B) 10 C) 11 D) 16
- Hint: Remember to multiply before you add (BEDMAS).
- Steps:
- Multiply first: 4 × 2 = 8.
- Then add: 3 + 8 = 11.
- Answer: 11
[Easy] Ratio
- EN: A recipe uses 2 cups of flour for every 3 cups of oats. If you use 6 cups of flour, how many cups of oats do you need?
- FR: Une recette utilise 2 tasses de farine pour 3 tasses d'avoine. Si vous utilisez 6 tasses de farine, combien de tasses d'avoine vous faut-il ?
- Choices: A) 9 B) 7 C) 8 D) 6
- Hint: Find how many times 2 goes into 6, then multiply the oats by the same amount.
- Steps:
- 6 ÷ 2 = 3 (scale factor).
- 3 × 3 = 9 cups of oats.
- Answer: 9
[Easy] Integer Introduction
- EN: The temperature in Winnipeg is −5°C. It drops 3 more degrees. What is the new temperature?
- FR: La température à Winnipeg est de −5 °C. Elle baisse de 3 degrés de plus. Quelle est la nouvelle température ?
- Choices: A) −2 B) −8 C) 8 D) −3
- Hint: Moving down on the number line means subtracting.
- Steps:
- −5 − 3 = −8.
- The new temperature is −8°C.
- Answer: -8
[Easy] Simple Algebraic Expression
- EN: If n = 7, what is the value of 3n + 4?
- FR: Si n = 7, quelle est la valeur de 3n + 4 ?
- Choices: A) 21 B) 25 C) 28 D) 14
- Hint: Substitute 7 for n and remember to multiply before adding.
- Steps:
- 3 × 7 = 21.
- 21 + 4 = 25.
- Answer: 25
[Medium] Fraction Multiplication
- EN: A trail mix recipe uses 3/4 cup of peanuts. You want to make 2/3 of the recipe. How much peanuts do you need?
- FR: Une recette de mélange montagnard utilise 3/4 tasse d'arachides. Vous voulez faire 2/3 de la recette. De quelle quantité d'arachides avez-vous besoin ?
- Choices: A) 5/12 B) 1/2 C) 5/7 D) 2/7
- Hint: Multiply the two fractions together.
- Steps:
- 3/4 × 2/3 = (3×2)/(4×3) = 6/12.
- Simplify: 6/12 = 1/2.
- Answer: 0.5
[Medium] Rate Problem
- EN: A car travels 210 km in 3 hours. What is its speed in km per hour?
- FR: Une voiture parcourt 210 km en 3 heures. Quelle est sa vitesse en km par heure ?
- Choices: A) 63 B) 70 C) 75 D) 80
- Hint: Divide total distance by total time.
- Steps:
- Speed = 210 ÷ 3.
- Speed = 70 km/h.
- Answer: 70
[Medium] Fraction Division
- EN: You have 3 cups of maple syrup. Each serving is 1/4 cup. How many servings can you make?
- FR: Vous avez 3 tasses de sirop d'érable. Chaque portion est de 1/4 de tasse. Combien de portions pouvez-vous faire ?
- Choices: A) 9 B) 10 C) 12 D) 8
- Hint: Dividing by a fraction means multiplying by its reciprocal.
- Steps:
- 3 ÷ 1/4 = 3 × 4.
- 3 × 4 = 12 servings.
- Answer: 12
[Medium] Percent of a Number — Tax
- EN: A pair of winter boots costs $90. There is 13% HST added. How much tax is paid?
- FR: Une paire de bottes d'hiver coûte 90 $. Une TVH de 13 % est ajoutée. Combien de taxe est payée ?
- Choices: A) 9.90 B) 11.70 C) 13.00 D) 10.80
- Hint: Multiply $90 by 0.13 to find the tax amount.
- Steps:
- 90 × 0.13 = ?
- 90 × 0.10 = 9; 90 × 0.03 = 2.70; Total = 11.70.
- Answer: 11.7
[Medium] BEDMAS with Brackets
- EN: Calculate: (6 + 2) × 3 − 4.
- FR: Calcule : (6 + 2) × 3 − 4.
- Choices: A) 16 B) 20 C) 24 D) 14
- Hint: Solve what is in brackets first, then multiply, then subtract.
- Steps:
- Brackets: 6 + 2 = 8.
- Multiply: 8 × 3 = 24.
- Subtract: 24 − 4 = 20.
- Answer: 20
[Medium] Algebraic Expression — Two Variables
- EN: Find the value of 2x − y when x = 5 and y = 3.
- FR: Trouve la valeur de 2x − y quand x = 5 et y = 3.
- Choices: A) 8 B) 7 C) 13 D) 4
- Hint: Substitute the values in, multiply first, then subtract.
- Steps:
- 2 × 5 = 10.
- 10 − 3 = 7.
- Answer: 7
[Hard] Multi-step Ratio Problem
- EN: A class has 18 boys and 12 girls. What is the ratio of boys to the total students, expressed as a fraction in lowest terms? (Enter the numerator.)
- FR: Une classe a 18 garçons et 12 filles. Quel est le rapport entre les garçons et le total des élèves, exprimé en fraction simplifiée ? (Entrez le numérateur.)
- Choices: A) 18 B) 3 C) 2 D) 6
- Hint: Find the total, then simplify the fraction by the GCF.
- Steps:
- Total students: 18 + 12 = 30.
- Ratio: 18/30; GCF is 6: 18/30 = 3/5.
- Numerator is 3.
- Answer: 3
[Hard] Integer Operations
- EN: In a hockey tournament, Team A scored −3 (penalty points), then +5 goals, then −2 (penalty points). What is their final score?
- FR: Dans un tournoi de hockey, l'équipe A a obtenu −3 (pénalités), puis +5 buts, puis −2 (pénalités). Quel est son score final ?
- Choices: A) 0 B) 2 C) −1 D) 1
- Hint: Add the positive and negative values in order.
- Steps:
- −3 + 5 = 2.
- 2 − 2 = 0.
- Answer: 0
[Hard] Percent Increase
- EN: Last year, 200 students joined a skating club. This year, 250 students joined. What is the percent increase?
- FR: L'année dernière, 200 élèves ont rejoint un club de patinage. Cette année, 250 élèves ont rejoint. Quel est le pourcentage d'augmentation ?
- Choices: A) 50 B) 20 C) 25 D) 30
- Hint: Divide the change by the original number, then multiply by 100.
- Steps:
- Change = 250 − 200 = 50.
- 50 ÷ 200 = 0.25.
- 0.25 × 100 = 25%.
- Answer: 25
[Hard] Multi-step BEDMAS
- EN: Calculate: 5 + (3² − 1) × 2 ÷ 4.
- FR: Calcule : 5 + (3² − 1) × 2 ÷ 4.
- Choices: A) 9 B) 8 C) 10 D) 7
- Hint: Follow BEDMAS: Brackets first, then Exponents, then × and ÷ left to right, then + and −.
- Steps:
- Exponent inside bracket: 3² = 9.
- Bracket: 9 − 1 = 8.
- Multiply: 8 × 2 = 16.
- Divide: 16 ÷ 4 = 4.
- Add: 5 + 4 = 9.
- Answer: 9
Grade 7 Problems
[Easy] Integer Addition
- EN: The temperature in Edmonton is −12°C. It warms up by 7°C. What is the new temperature?
- FR: La température à Edmonton est de −12 °C. Elle monte de 7 °C. Quelle est la nouvelle température ?
- Choices: A) −5 B) 5 C) −19 D) 19
- Hint: Adding a positive to a negative moves you right on the number line.
- Steps:
- −12 + 7.
- Start at −12, move 7 right: −5.
- Answer: -5
[Easy] Percent Discount
- EN: A Tim Hortons coffee costs $3.00. You get a 10% discount with a coupon. How much is the discount?
- FR: Un café Tim Hortons coûte 3,00 $. Vous obtenez un rabais de 10 % avec un coupon. Quel est le rabais ?
- Choices: A) 0.10 B) 0.30 C) 3.00 D) 1.00
- Hint: 10% means one tenth of the price.
- Steps:
- 10% of $3.00 = $3.00 ÷ 10.
- $3.00 ÷ 10 = $0.30.
- Answer: 0.3
[Easy] One-step Linear Equation
- EN: Solve for x: x + 9 = 15.
- FR: Résous pour x : x + 9 = 15.
- Choices: A) 24 B) 7 C) 6 D) 5
- Hint: Subtract 9 from both sides.
- Steps:
- x + 9 = 15.
- x = 15 − 9 = 6.
- Answer: 6
[Easy] Fraction to Decimal
- EN: Convert 3/4 to a decimal.
- FR: Convertis 3/4 en nombre décimal.
- Choices: A) 0.34 B) 1.33 C) 0.75 D) 0.25
- Hint: Divide the numerator by the denominator.
- Steps:
- 3 ÷ 4 = 0.75.
- Answer is 0.75.
- Answer: 0.75
[Easy] Probability
- EN: A bag has 3 red marbles and 7 blue marbles. What is the probability of picking a red marble? (Answer as a decimal.)
- FR: Un sac contient 3 billes rouges et 7 billes bleues. Quelle est la probabilité de piger une bille rouge ? (Répondez en décimale.)
- Choices: A) 0.7 B) 0.3 C) 0.4 D) 3
- Hint: Probability = number of favourable outcomes ÷ total outcomes.
- Steps:
- Total marbles: 3 + 7 = 10.
- P(red) = 3/10 = 0.3.
- Answer: 0.3
[Medium] Integer Multiplication
- EN: A submarine dives 8 metres every minute. After 6 minutes, what is the submarine's depth relative to the surface? (Use a negative number.)
- FR: Un sous-marin plonge de 8 mètres par minute. Après 6 minutes, quelle est la profondeur du sous-marin par rapport à la surface ? (Utilisez un nombre négatif.)
- Choices: A) −48 B) 48 C) −14 D) 14
- Hint: Multiply to find the total depth, then use a negative sign.
- Steps:
- Depth = −8 × 6.
- −8 × 6 = −48 metres.
- Answer: -48
[Medium] Percentage — Tip
- EN: A family's restaurant bill is $80. They leave a 15% tip. How much is the tip?
- FR: La facture de restaurant d'une famille est de 80 $. Ils laissent un pourboire de 15 %. Quel est le montant du pourboire ?
- Choices: A) 8 B) 15 C) 12 D) 10
- Hint: Find 10% first, then find 5% and add them.
- Steps:
- 10% of $80 = $8.
- 5% of $80 = $4.
- 15% tip = $8 + $4 = $12.
- Answer: 12
[Medium] Surface Area of a Rectangular Prism
- EN: A gift box is 5 cm long, 4 cm wide, and 3 cm tall. What is the total surface area?
- FR: Une boîte-cadeau mesure 5 cm de long, 4 cm de large et 3 cm de hauteur. Quelle est l'aire totale de la surface ?
- Choices: A) 60 B) 94 C) 84 D) 74
- Hint: Surface area = 2(lw + lh + wh).
- Steps:
- lw = 5×4 = 20; lh = 5×3 = 15; wh = 4×3 = 12.
- SA = 2(20 + 15 + 12) = 2(47) = 94.
- Answer: 94
[Medium] Fraction Division
- EN: You have 5/6 of a metre of ribbon. You cut it into pieces that are 1/6 of a metre each. How many pieces do you get?
- FR: Vous avez 5/6 d'un mètre de ruban. Vous le coupez en morceaux de 1/6 de mètre chacun. Combien de morceaux obtenez-vous ?
- Choices: A) 4 B) 6 C) 5 D) 3
- Hint: Divide 5/6 by 1/6 by multiplying by the reciprocal.
- Steps:
- 5/6 ÷ 1/6 = 5/6 × 6/1.
- = 30/6 = 5.
- Answer: 5
[Medium] One-step Equation — Multiplication
- EN: Solve for y: 7y = 63.
- FR: Résous pour y : 7y = 63.
- Choices: A) 56 B) 8 C) 9 D) 7
- Hint: Divide both sides by 7.
- Steps:
- 7y = 63.
- y = 63 ÷ 7 = 9.
- Answer: 9
[Medium] Mean of a Data Set
- EN: Five students scored 78, 85, 90, 70, and 77 on a math test. What is the mean score?
- FR: Cinq élèves ont obtenu 78, 85, 90, 70 et 77 à un test de mathématiques. Quelle est la moyenne ?
- Choices: A) 80 B) 77 C) 78 D) 85
- Hint: Add all scores together, then divide by how many there are.
- Steps:
- Sum: 78 + 85 + 90 + 70 + 77 = 400.
- Mean: 400 ÷ 5 = 80.
- Answer: 80
[Hard] Multi-step Integer Problem
- EN: In a hockey game, Team Canada's score changes as follows: +3, −1, +2, −4, +2. What is their final score change?
- FR: Dans un match de hockey, le score de l'équipe du Canada change ainsi : +3, −1, +2, −4, +2. Quel est le changement de score final ?
- Choices: A) 1 B) 3 C) 2 D) 12
- Hint: Add all the positive and negative values in order.
- Steps:
- 3 + (−1) = 2.
- 2 + 2 = 4.
- 4 + (−4) = 0.
- 0 + 2 = 2.
- Answer: 2
[Hard] Percent — Tax and Total
- EN: A winter jacket costs $120. With 13% HST, what is the total price including tax?
- FR: Un manteau d'hiver coûte 120 $. Avec une TVH de 13 %, quel est le prix total taxes incluses ?
- Choices: A) 133.60 B) 135.60 C) 132.60 D) 138.00
- Hint: Find 13% of $120 and add it to the original price.
- Steps:
- 13% of 120 = 120 × 0.13 = 15.60.
- Total: 120 + 15.60 = 135.60.
- Answer: 135.6
[Hard] Two-step Linear Equation
- EN: Solve for m: 4m − 7 = 21.
- FR: Résous pour m : 4m − 7 = 21.
- Choices: A) 3 B) 5 C) 7 D) 9
- Hint: First add 7 to both sides, then divide by 4.
- Steps:
- 4m − 7 + 7 = 21 + 7 → 4m = 28.
- m = 28 ÷ 4 = 7.
- Answer: 7
[Hard] Surface Area — Missing Dimension
- EN: A cube has a total surface area of 150 cm². What is the length of one side?
- FR: Un cube a une aire totale de 150 cm². Quelle est la longueur d'un côté ?
- Choices: A) 4 B) 6 C) 5 D) 25
- Hint: A cube has 6 equal square faces. Find the area of one face, then its side length.
- Steps:
- Area of one face = 150 ÷ 6 = 25 cm².
- Side length = √25 = 5 cm.
- Answer: 5
Grade 8 Problems
[Easy] Perfect Square
- EN: What is √144?
- FR: Quelle est la valeur de √144 ?
- Choices: A) 11 B) 14 C) 12 D) 13
- Hint: Think: what number multiplied by itself equals 144?
- Steps:
- 12 × 12 = 144.
- √144 = 12.
- Answer: 12
[Easy] Two-step Equation
- EN: Solve for x: 2x + 5 = 13.
- FR: Résous pour x : 2x + 5 = 13.
- Choices: A) 9 B) 3 C) 4 D) 7
- Hint: Subtract 5 from both sides first, then divide by 2.
- Steps:
- 2x + 5 − 5 = 13 − 5 → 2x = 8.
- x = 8 ÷ 2 = 4.
- Answer: 4
[Easy] Mean of a Data Set
- EN: Four friends received the following number of hockey cards: 12, 8, 14, and 10. What is the mean?
- FR: Quatre amis ont reçu le nombre suivant de cartes de hockey : 12, 8, 14 et 10. Quelle est la moyenne ?
- Choices: A) 10 B) 12 C) 11 D) 14
- Hint: Add all values, then divide by the number of values.
- Steps:
- Sum: 12 + 8 + 14 + 10 = 44.
- Mean: 44 ÷ 4 = 11.
- Answer: 11
[Easy] Percent Increase
- EN: A hockey ticket cost $50 last year. This year it costs $60. What is the percent increase?
- FR: Un billet de hockey coûtait 50 $ l'an dernier. Cette année, il coûte 60 $. Quel est le pourcentage d'augmentation ?
- Choices: A) 10 B) 20 C) 25 D) 15
- Hint: Find the change, divide by original, multiply by 100.
- Steps:
- Change = $60 − $50 = $10.
- Percent increase = (10 ÷ 50) × 100 = 20%.
- Answer: 20
[Easy] Square Root Estimation
- EN: Between which two consecutive whole numbers does √50 lie? (Enter the smaller number.)
- FR: Entre quels deux nombres entiers consécutifs se trouve √50 ? (Entrez le plus petit nombre.)
- Choices: A) 5 B) 6 C) 7 D) 8
- Hint: Find which perfect squares are just below and just above 50.
- Steps:
- 7² = 49; 8² = 64.
- √50 is between 7 and 8; smaller is 7.
- Answer: 7
[Medium] Two-step Equation — Negative
- EN: Solve for x: 3x − 4 = −19.
- FR: Résous pour x : 3x − 4 = −19.
- Choices: A) −7 B) 5 C) −5 D) 7
- Hint: Add 4 to both sides, then divide by 3.
- Steps:
- 3x = −19 + 4 = −15.
- x = −15 ÷ 3 = −5.
Today's Encouragement
Every problem you solve makes your brain stronger.
Test Yourself! 📝
Log in and select your grade — problems will appear above!