Daily Math — 2026-06-17
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. Combien y a-t-il de rondelles maintenant?
- Choices: A) 9 B) 10 C) 11 D) 8
- Hint: Count on from 7 three more times.
- Steps:
- Start at 7.
- Count forward 3: 8, 9, 10.
- Answer: 10
[Easy] Maple Leaf Counting
- EN: Emma picks 5 maple leaves. She picks 4 more. How many leaves does she have in all?
- FR: Emma ramasse 5 feuilles d'érable. Elle en ramasse 4 autres. Combien de feuilles a-t-elle en tout?
- Choices: A) 7 B) 8 C) 9 D) 10
- Hint: Use your fingers to count on from 5.
- Steps:
- Start at 5.
- Count on 4 more: 6, 7, 8, 9.
- Answer: 9
[Easy] Toonie or Penny?
- EN: Lucas has 2 pennies. Each penny is worth 1 cent. How many cents does he have in total?
- FR: Lucas a 2 sous. Chaque sou vaut 1 cent. Combien de cents a-t-il en tout?
- Choices: A) 1 B) 3 C) 2 D) 4
- Hint: Two pennies means two 1-cent coins put together.
- Steps:
- Each penny = 1 cent.
- 1 + 1 = 2 cents.
- Answer: 2
[Easy] Skip Counting by 2s
- EN: Skip count by 2s: 2, 4, 6, ___. What is the missing number?
- FR: Compte par bonds de 2: 2, 4, 6, ___. Quel est le nombre manquant?
- Choices: A) 7 B) 9 C) 8 D) 10
- Hint: Add 2 to the last number you see.
- Steps:
- The pattern adds 2 each time.
- 6 + 2 = 8.
- Answer: 8
[Medium] Snowflakes Falling
- EN: There are 12 snowflakes on a window. 5 melt away. How many snowflakes are left?
- FR: Il y a 12 flocons de neige sur une fenêtre. 5 fondent. Combien de flocons reste-t-il?
- Choices: A) 6 B) 8 C) 7 D) 9
- Hint: Start at 12 and count backwards 5 times.
- Steps:
- Start at 12.
- Count back 5: 11, 10, 9, 8, 7.
- Answer: 7
[Medium] Tim Hortons Timbits
- EN: A box has 10 Timbits. Jake eats 4. How many Timbits are left in the box?
- FR: Une boîte contient 10 Timbits. Jake en mange 4. Combien de Timbits reste-t-il dans la boîte?
- Choices: A) 5 B) 7 C) 6 D) 8
- Hint: Take away 4 from 10.
- Steps:
- Start with 10 Timbits.
- 10 − 4 = 6.
- Answer: 6
[Medium] Skip Counting by 5s
- EN: Count by 5s: 5, 10, 15, ___. What comes next?
- FR: Compte par bonds de 5: 5, 10, 15, ___. Quel nombre vient ensuite?
- Choices: A) 18 B) 20 C) 22 D) 25
- Hint: Add 5 to the last number.
- Steps:
- The pattern adds 5 each time.
- 15 + 5 = 20.
- Answer: 20
[Medium] Comparing Numbers
- EN: Which number is bigger: 14 or 17?
- FR: Quel nombre est le plus grand: 14 ou 17?
- Choices: A) 14 B) 15 C) 16 D) 17
- Hint: Think about which number comes later when you count.
- Steps:
- Count: ... 14 ... 15 ... 16 ... 17.
- 17 comes after 14, so 17 is bigger.
- Answer: 17
[Hard] Camping Friends
- EN: At a campsite there are 8 children. 3 go home. Then 5 more children arrive. How many children are at the campsite now?
- FR: À un terrain de camping, il y a 8 enfants. 3 rentrent chez eux. Puis 5 autres enfants arrivent. Combien d'enfants y a-t-il maintenant?
- Choices: A) 9 B) 10 C) 11 D) 12
- Hint: First subtract, then add.
- Steps:
- 8 − 3 = 5 children remain.
- 5 + 5 = 10 children in total.
- Answer: 10
[Hard] Nickel Skip Count
- EN: Sara has 4 nickels. Each nickel is worth 5 cents. How many cents does she have in total?
- FR: Sara a 4 pièces de 5 cents. Chaque pièce vaut 5 cents. Combien de cents a-t-elle en tout?
- Choices: A) 15 B) 25 C) 20 D) 10
- Hint: Skip count by 5s four times.
- Steps:
- Count by 5s: 5, 10, 15, 20.
- Sara has 20 cents.
- Answer: 20
Grade 2 Problems
[Easy] Adding at the Store
- EN: Mia buys a pencil for 32 cents and an eraser for 15 cents. How many cents does she spend?
- FR: Mia achète un crayon pour 32 cents et une gomme pour 15 cents. Combien de cents dépense-t-elle?
- Choices: A) 45 B) 47 C) 48 D) 46
- Hint: Add the ones first, then the tens.
- Steps:
- Ones: 2 + 5 = 7.
- Tens: 30 + 10 = 40. Total: 47.
- Answer: 47
[Easy] Snowfall Measurement
- EN: It snowed 24 cm on Monday and 13 cm on Tuesday. How many cm of snow fell in total?
- FR: Il a neigé 24 cm lundi et 13 cm mardi. Combien de centimètres de neige sont tombés en tout?
- Choices: A) 35 B) 36 C) 37 D) 38
- Hint: Add the ones digits first, then the tens digits.
- Steps:
- Ones: 4 + 3 = 7.
- Tens: 20 + 10 = 30. Total: 37.
- Answer: 37
[Easy] Telling Time
- EN: The clock shows 3 o'clock. What number does the short hand point to?
- FR: L'horloge indique 3 heures. Sur quel chiffre pointe la petite aiguille?
- Choices: A) 6 B) 12 C) 3 D) 9
- Hint: The short hand is the hour hand.
- Steps:
- The short hand tells the hour.
- At 3 o'clock, it points to 3.
- Answer: 3
[Easy] Coin Counting
- EN: Ben has 3 dimes. Each dime is worth 10 cents. How many cents does he have?
- FR: Ben a 3 pièces de 10 cents. Chaque pièce vaut 10 cents. Combien de cents a-t-il?
- Choices: A) 20 B) 25 C) 30 D) 35
- Hint: Count by 10s three times.
- Steps:
- 10, 20, 30.
- Ben has 30 cents.
- Answer: 30
[Medium] Subtracting Apples
- EN: A basket has 75 apples. 28 are given away. How many apples are left?
- FR: Un panier contient 75 pommes. On en donne 28. Combien de pommes reste-t-il?
- Choices: A) 47 B) 48 C) 46 D) 49
- Hint: Regroup (borrow) from the tens to subtract the ones.
- Steps:
- 75 − 28: borrow from tens. 15 − 8 = 7.
- 60 − 20 = 40. Total: 47.
- Answer: 47
[Medium] Half-Hour Time
- EN: School starts at half past 8 in the morning. What number does the long hand point to at half past?
- FR: L'école commence à 8 h 30. Sur quel chiffre pointe la grande aiguille à la demie?
- Choices: A) 3 B) 12 C) 9 D) 6
- Hint: At half past, the long hand always points to the same number.
- Steps:
- Half past means 30 minutes.
- The long hand points to 6.
- Answer: 6
[Medium] Measuring a Ribbon
- EN: Lily has a ribbon that is 85 cm long. She cuts off 30 cm. How long is the ribbon now?
- FR: Lily a un ruban de 85 cm. Elle en coupe 30 cm. Quelle est la longueur du ruban maintenant?
- Choices: A) 55 B) 50 C) 60 D) 45
- Hint: Subtract the tens.
- Steps:
- 85 − 30: subtract the tens.
- 80 − 30 = 50, plus 5 = 55.
- Answer: 55
[Medium] Number Pattern
- EN: What comes next in this pattern? 10, 20, 30, 40, ___
- FR: Quel est le prochain nombre dans ce motif? 10, 20, 30, 40, ___
- Choices: A) 45 B) 50 C) 55 D) 60
- Hint: Each number increases by 10.
- Steps:
- The pattern adds 10 each time.
- 40 + 10 = 50.
- Answer: 50
[Hard] Coins to $1
- EN: Zoe has 5 dimes and 3 nickels. How many cents does she have in total?
- FR: Zoé a 5 pièces de 10 cents et 3 pièces de 5 cents. Combien de cents a-t-elle en tout?
- Choices: A) 60 B) 65 C) 70 D) 75
- Hint: Find the value of the dimes, then the nickels, then add.
- Steps:
- 5 dimes = 50 cents.
- 3 nickels = 15 cents. 50 + 15 = 65.
- Answer: 65
[Hard] Adding Three Numbers
- EN: In one week, it snowed 23 cm, 14 cm, and 31 cm on three different days. How much snow fell in total?
- FR: En une semaine, il a neigé 23 cm, 14 cm et 31 cm sur trois jours différents. Quelle quantité de neige est tombée en tout?
- Choices: A) 66 B) 67 C) 68 D) 69
- Hint: Add two numbers first, then add the third.
- Steps:
- 23 + 14 = 37.
- 37 + 31 = 68.
- Answer: 68
Grade 3 Problems
[Easy] Multiplying by 2
- EN: There are 6 hockey teams. Each team has 2 goalies. How many goalies are there in all?
- FR: Il y a 6 équipes de hockey. Chaque équipe a 2 gardiens. Combien y a-t-il de gardiens en tout?
- Choices: A) 10 B) 12 C) 14 D) 8
- Hint: Use the 2 times table.
- Steps:
- 6 × 2 = 12.
- There are 12 goalies in all.
- Answer: 12
[Easy] One-Half of a Number
- EN: A jar holds 8 cookies. Sofia takes one-half. How many cookies does she take?
- FR: Un pot contient 8 biscuits. Sofia en prend la moitié. Combien de biscuits prend-elle?
- Choices: A) 2 B) 3 C) 4 D) 6
- Hint: Split the 8 cookies into 2 equal groups.
- Steps:
- 8 ÷ 2 = 4.
- Sofia takes 4 cookies.
- Answer: 4
[Easy] Multiplying by 5
- EN: A maple syrup stall sells 5 bottles per hour. How many bottles are sold in 3 hours?
- FR: Un kiosque de sirop d'érable vend 5 bouteilles par heure. Combien de bouteilles sont vendues en 3 heures?
- Choices: A) 10 B) 15 C) 20 D) 25
- Hint: Use the 5 times table.
- Steps:
- 5 × 3 = 15.
- 15 bottles are sold.
- Answer: 15
[Easy] Perimeter of a Square
- EN: A square garden has sides of 4 m each. What is its perimeter?
- FR: Un jardin carré a des côtés de 4 m chacun. Quelle est son périmètre?
- Choices: A) 12 B) 16 C) 20 D) 8
- Hint: A square has 4 equal sides. Add all sides together.
- Steps:
- Perimeter = 4 × 4.
- 4 × 4 = 16 m.
- Answer: 16
[Medium] Division with 10s
- EN: There are 30 students and 3 equal groups for a school trip. How many students are in each group?
- FR: Il y a 30 élèves divisés en 3 groupes égaux pour une sortie scolaire. Combien d'élèves y a-t-il dans chaque groupe?
- Choices: A) 8 B) 9 C) 10 D) 11
- Hint: Think: what times 3 equals 30?
- Steps:
- 30 ÷ 3 = 10.
- There are 10 students per group.
- Answer: 10
[Medium] Multiplying by 4
- EN: Each camping tent holds 4 sleeping bags. There are 7 tents. How many sleeping bags are there?
- FR: Chaque tente de camping peut accueillir 4 sacs de couchage. Il y a 7 tentes. Combien y a-t-il de sacs de couchage?
- Choices: A) 24 B) 28 C) 32 D) 36
- Hint: Use the 4 times table.
- Steps:
- 7 × 4 = 28.
- There are 28 sleeping bags.
- Answer: 28
[Medium] Reading a Graph
- EN: A bar graph shows apples sold: Monday = 6, Tuesday = 9, Wednesday = 3. How many apples were sold in total?
- FR: Un diagramme à bandes montre les pommes vendues: lundi = 6, mardi = 9, mercredi = 3. Combien de pommes ont été vendues en tout?
- Choices: A) 16 B) 17 C) 18 D) 19
- Hint: Add all three amounts together.
- Steps:
- 6 + 9 = 15.
- 15 + 3 = 18.
- Answer: 18
[Medium] One-Quarter Fraction
- EN: A pizza is cut into 4 equal slices. James eats 1 slice. What fraction of the pizza did he eat?
- FR: Une pizza est coupée en 4 parts égales. James mange 1 part. Quelle fraction de la pizza a-t-il mangée? (Donne le dénominateur.)
- Choices: A) 2 B) 3 C) 4 D) 8
- Hint: 1 piece out of 4 equal pieces — what is the bottom number of that fraction?
- Steps:
- 4 equal slices means the denominator is 4.
- James ate 1/4 — the denominator is 4.
- Answer: 4
[Hard] Perimeter Problem
- EN: A rectangle has a length of 9 m and a width of 5 m. What is its perimeter?
- FR: Un rectangle a une longueur de 9 m et une largeur de 5 m. Quel est son périmètre?
- Choices: A) 26 B) 28 C) 30 D) 32
- Hint: A rectangle has 2 lengths and 2 widths.
- Steps:
- Perimeter = 2 × (9 + 5).
- 2 × 14 = 28.
- Answer: 28
[Hard] Multi-Step Multiplication
- EN: Ava buys 3 packs of stickers. Each pack has 10 stickers. She gives away 5 stickers. How many stickers does she have left?
- FR: Ava achète 3 paquets d'autocollants. Chaque paquet contient 10 autocollants. Elle donne 5 autocollants. Combien d'autocollants lui reste-t-il?
- Choices: A) 23 B) 25 C) 27 D) 30
- Hint: First find the total stickers, then subtract.
- Steps:
- 3 × 10 = 30 stickers total.
- 30 − 5 = 25 stickers left.
- Answer: 25
Grade 4 Problems
[Easy] Multiplication Table
- EN: What is 7 × 8?
- FR: Combien font 7 × 8?
- Choices: A) 54 B) 56 C) 63 D) 48
- Hint: Think of 7 groups of 8.
- Steps:
- 7 × 8 = 56.
- The answer is 56.
- Answer: 56
[Easy] Decimal Place Value
- EN: In the number 3.47, which digit is in the tenths place?
- FR: Dans le nombre 3,47, quel chiffre est dans la position des dixièmes?
- Choices: A) 3 B) 7 C) 4 D) 0
- Hint: The tenths place is the first digit after the decimal point.
- Steps:
- 3.47: the digits are 3 (ones), 4 (tenths), 7 (hundredths).
- The tenths digit is 4.
- Answer: 4
[Easy] Area of a Rectangle
- EN: A rectangular classroom is 9 m long and 6 m wide. What is its area?
- FR: Une salle de classe rectangulaire a 9 m de long et 6 m de large. Quelle est son aire?
- Choices: A) 48 B) 54 C) 30 D) 60
- Hint: Area = length × width.
- Steps:
- Area = 9 × 6.
- 9 × 6 = 54 m².
- 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? (Écris le numérateur de la plus grande fraction.)
- Choices: A) 1 B) 2 C) 3 D) 4
- Hint: Both fractions have the same denominator — compare the numerators.
- Steps:
- Same denominator (4), so compare numerators.
- 3 > 1, so 3/4 is larger. The numerator is 3.
- Answer: 3
[Medium] Long Division with Remainder
- EN: A teacher has 47 pencils to share equally among 5 students. How many pencils does each student get? (Give the whole number only.)
- FR: Un enseignant a 47 crayons à partager également entre 5 élèves. Combien de crayons chaque élève reçoit-il? (Donne seulement le nombre entier.)
- Choices: A) 7 B) 8 C) 9 D) 10
- Hint: Find how many times 5 goes into 47 without going over.
- Steps:
- 5 × 9 = 45, which is less than 47.
- 47 ÷ 5 = 9 remainder 2. Each student gets 9.
- Answer: 9
[Medium] Elapsed Time
- EN: A hockey game starts at 2:15 PM and ends at 4:45 PM. How many minutes is that? (Give answer in minutes.)
- FR: Un match de hockey commence à 14 h 15 et se termine à 16 h 45. Combien de minutes dure-t-il?
- Choices: A) 120 B) 140 C) 150 D) 160
- Hint: Count the hours and minutes separately, then combine.
- Steps:
- From 2:15 to 4:15 = 2 hours = 120 minutes.
- Add 30 more minutes: 120 + 30 = 150 minutes.
- Answer: 150
[Medium] Decimal Addition
- EN: At a school supply store, a notebook costs $2.35 and a pen costs $1.40. How much do they cost together?
- FR: À une papeterie scolaire, un cahier coûte 2,35 $ et un stylo coûte 1,40 $. Combien coûtent-ils ensemble?
- Choices: A) 3.65 B) 3.75 C) 3.85 D) 3.95
- Hint: Line up the decimal points and add.
- Steps:
- 2.35 + 1.40: cents: 5 + 0 = 5; dimes: 3 + 4 = 7; dollars: 2 + 1 = 3.
- Total = 3.75.
- Answer: 3.75
[Medium] Multi-Digit Multiplication
- EN: A bakery makes 24 muffins per tray. There are 6 trays. How many muffins are there in total?
- FR: Une boulangerie fait 24 muffins par plateau. Il y a 6 plateaux. Combien y a-t-il de muffins en tout?
- Choices: A) 124 B) 134 C) 144 D) 154
- Hint: Multiply 24 by 6.
- Steps:
- 24 × 6: 4 × 6 = 24, write 4 carry 2.
- 2 × 6 = 12, plus 2 = 14. Answer: 144.
- Answer: 144
[Hard] Long Division
- EN: A farmer collects 156 eggs and packs them into boxes of 9. How many full boxes does he make?
- FR: Un fermier ramasse 156 œufs et les emballe dans des boîtes de 9. Combien de boîtes complètes peut-il faire?
- Choices: A) 15 B) 16 C) 17 D) 18
- Hint: Find how many times 9 goes into 156.
- Steps:
- 9 × 17 = 153, and 156 − 153 = 3 remainder.
- The farmer makes 17 full boxes.
- Answer: 17
[Hard] Area and Perimeter Combined
- EN: A rectangular hockey rink is 8 m long and 5 m wide. What is the difference between its area and its perimeter?
- FR: Une patinoire de hockey rectangulaire a 8 m de long et 5 m de large. Quelle est la différence entre son aire et son périmètre?
- Choices: A) 14 B) 15 C) 16 D) 17
- Hint: Find the area and perimeter separately, then subtract.
- Steps:
- Area = 8 × 5 = 40. Perimeter = 2 × (8 + 5) = 26.
- 40 − 26 = 14.
- Answer: 14
Grade 5 Problems
[Easy] Multiplying Multi-Digit Numbers
- EN: A school orders 36 boxes of crayons. Each box has 12 crayons. How many crayons are there in all?
- FR: Une école commande 36 boîtes de crayons. Chaque boîte contient 12 crayons. Combien y a-t-il de crayons en tout?
- Choices: A) 412 B) 422 C) 432 D) 442
- Hint: Multiply 36 by 12 step by step.
- Steps:
- 36 × 10 = 360.
- 36 × 2 = 72. 360 + 72 = 432.
- Answer: 432
[Easy] Adding Fractions (Like Denominators)
- EN: Chloe eats 2/8 of a pie and her brother eats 3/8. What fraction did they eat together?
- FR: Chloé mange 2/8 d'une tarte et son frère en mange 3/8. Quelle fraction ont-ils mangée ensemble?
- Choices: A) 5/16 B) 4/8 C) 5/8 D) 6/8
- Hint: Add the numerators; keep the denominator the same.
- Steps:
- 2/8 + 3/8 = (2+3)/8.
- = 5/8.
- Answer: 5
[Easy] Decimal Subtraction
- EN: A bottle of maple syrup costs $8.75. Owen pays $10.00. How much change does he get?
- FR: Une bouteille de sirop d'érable coûte 8,75 $. Owen paie 10,00 $. Quelle monnaie reçoit-il?
- Choices: A) 1.15 B) 1.25 C) 1.35 D) 1.75
- Hint: Subtract the price from 10.00.
- Steps:
- 10.00 − 8.75.
- = 1.25.
- Answer: 1.25
[Easy] 50% of a Number
- EN: A hockey jersey costs $60. It is on sale for 50% off. How much is the discount?
- FR: Un chandail de hockey coûte 60 $. Il est en solde à 50 % de rabais. Quel est le montant du rabais?
- Choices: A) 20 B) 25 C) 30 D) 35
- Hint: 50% means half. Divide by 2.
- Steps:
- 50% of 60 = 60 ÷ 2.
- = 30.
- Answer: 30
[Medium] Multi-Digit Division
- EN: A camp has 392 campers divided equally into 8 cabins. How many campers are in each cabin?
- FR: Un camp a 392 campeurs divisés également en 8 cabines. Combien y a-t-il de campeurs dans chaque cabine?
- Choices: A) 47 B) 48 C) 49 D) 50
- Hint: Divide 392 by 8 step by step.
- Steps:
- 8 × 49 = 392.
- Each cabin has 49 campers.
- Answer: 49
[Medium] Subtracting Fractions
- EN: A container has 7/10 of a litre of orange juice. Kyle drinks 3/10. How much juice is left?
- FR: Un contenant a 7/10 d'un litre de jus d'orange. Kyle en boit 3/10. Quelle quantité de jus reste-t-il?
- Choices: A) 3/10 B) 4/10 C) 5/10 D) 2/10
- Hint: Subtract numerators; keep the denominator.
- Steps:
- 7/10 − 3/10 = (7−3)/10.
- = 4/10.
- Answer: 4
[Medium] Volume of a Rectangular Prism
- EN: A rectangular box is 5 cm long, 4 cm wide, and 3 cm tall. What is its volume?
- FR: Une boîte rectangulaire a 5 cm de long, 4 cm de large et 3 cm de haut. Quel est son volume?
- Choices: A) 48 B) 60 C) 72 D) 36
- Hint: Volume = length × width × height.
- Steps:
- V = 5 × 4 × 3.
- = 60 cm³.
- Answer: 60
[Medium] 25% of a Number
- EN: A Tim Hortons combo meal costs $12.00. There is a 25% coupon. How many dollars does the coupon save?
- FR: Un repas combo Tim Hortons coûte 12,00 $. Il y a un coupon de 25 %. Combien de dollars le coupon permet-il d'économiser?
- Choices: A) 2 B) 3 C) 4 D) 5
- Hint: 25% is the same as one-quarter. Divide by 4.
- Steps:
- 25% of 12 = 12 ÷ 4.
- = 3.
- Answer: 3
[Hard] Multi-Step Problem
- EN: Maya buys 4 notebooks at $3.25 each and one backpack for $18.50. How much does she spend in total?
- FR: Maya achète 4 cahiers à 3,25 $ chacun et un sac à dos à 18,50 $. Combien dépense-t-elle en tout?
- Choices: A) 29.50 B) 30.50 C) 31.50 D) 32.50
- Hint: Find the cost of the notebooks first, then add the backpack.
- Steps:
- 4 × 3.25 = 13.00.
- 13.00 + 18.50 = 31.50.
- Answer: 31.50
[Hard] Decimal and Percent Combined
- EN: A sweater costs $45.00. It is discounted by 10%, then another $2.00 is taken off. What is the final price?
- FR: Un chandail coûte 45,00 $. Il est réduit de 10 %, puis on enlève encore 2,00 $. Quel est le prix final?
- Choices: A) 38.00 B) 38.50 C) 39.00 D) 40.50
- Hint: First find 10% of 45, subtract it, then subtract 2 more.
- Steps:
- 10% of 45 = 4.50. 45.00 − 4.50 = 40.50.
- 40.50 − 2.00 = 38.50.
- Answer: 38.50
Grade 6 Problems
[Easy] Percent of a Number
- EN: What is 20% of 80?
- FR: Combien fait 20 % de 80?
- Choices: A) 12 B) 14 C) 16 D) 18
- Hint: 20% = 20/100. Multiply 80 by 20 and divide by 100.
- Steps:
- 20% of 80 = 80 × 20 ÷ 100.
- = 16.
- Answer: 16
[Easy] Order of Operations
- EN: Calculate: 3 + 4 × 2
- FR: Calcule: 3 + 4 × 2
- Choices: A) 14 B) 11 C) 10 D) 13
- Hint: BEDMAS — do multiplication before addition.
- Steps:
- Multiply first: 4 × 2 = 8.
- Then add: 3 + 8 = 11.
- Answer: 11
[Easy] Ratio
- EN: In a bag there are 4 red marbles and 6 blue marbles. What is the ratio of red to blue marbles?
- FR: Dans un sac, il y a 4 billes rouges et 6 billes bleues. Quel est le rapport entre les billes rouges et les billes bleues? (Donne le premier terme du rapport simplifié.)
- Choices: A) 1 B) 2 C) 3 D) 4
- Hint: Simplify 4:6 by dividing both by the greatest common factor.
- Steps:
- GCF of 4 and 6 is 2.
- 4:6 = 2:3. The first term is 2.
- Answer: 2
[Easy] Integers Introduction
- EN: The temperature is −3°C. It rises by 8°C. What is the new temperature?
- FR: La température est de −3 °C. Elle monte de 8 °C. Quelle est la nouvelle température?
- Choices: A) 3 B) 4 C) 5 D) 6
- Hint: Start at −3 and add 8 by moving right on the number line.
- Steps:
- −3 + 8.
- = 5.
- Answer: 5
[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) 20 B) 22 C) 24 D) 26
- Hint: Replace n with 6, multiply first, then add.
- Steps:
- 3 × 6 = 18.
- 18 + 4 = 22.
- Answer: 22
[Medium] Fraction Multiplication
- EN: A recipe needs 3/4 of a cup of maple syrup. Nadia makes 2 batches. How many cups of maple syrup does she need in total?
- FR: Une recette nécessite 3/4 de tasse de sirop d'érable. Nadia prépare 2 lots. De combien de tasses de sirop d'érable a-t-elle besoin en tout? (Donne le numérateur si la réponse est en quarts.)
- Choices: A) 4 B) 5 C) 6 D) 3
- Hint: Multiply the fraction by 2.
- Steps:
- 3/4 × 2 = 6/4 = 1 2/4 = 1.5 cups.
- The numerator of 6/4 is 6.
- Answer: 6
[Medium] Rate Problem
- EN: A car travels 90 km in 2 hours. What is its speed in km per hour?
- FR: Une voiture parcourt 90 km en 2 heures. Quelle est sa vitesse en km/h?
- Choices: A) 40 B) 45 C) 50 D) 55
- Hint: Divide the total distance by the number of hours.
- Steps:
- Speed = 90 ÷ 2.
- = 45 km/h.
- Answer: 45
[Medium] Percent Discount
- EN: A loonie is used toward a $4.00 treat at Tim Hortons. If there is a 25% discount, what is the sale price?
- FR: Un rabais de 25 % est appliqué sur une collation de 4,00 $ à Tim Hortons. Quel est le prix de vente?
- Choices: A) 2.00 B) 2.50 C) 3.00 D) 3.50
- Hint: Find 25% of 4.00, then subtract from the original price.
- Steps:
- 25% of 4.00 = 1.00.
- 4.00 − 1.00 = 3.00.
- Answer: 3.00
[Medium] Order of Operations (Complex)
- EN: Calculate: (12 − 4) ÷ 2 + 3 × 3
- FR: Calcule: (12 − 4) ÷ 2 + 3 × 3
- Choices: A) 12 B) 13 C) 14 D) 15
- Hint: Work through brackets, then division, then multiplication, then addition.
- Steps:
- Brackets: 12 − 4 = 8. Then 8 ÷ 2 = 4.
- Multiply: 3 × 3 = 9. Then 4 + 9 = 13.
- Answer: 13
[Medium] Fraction Division
- EN: How many 1/3-cup servings are in 2 cups of trail mix?
- FR: Combien de portions de 1/3 de tasse y a-t-il dans 2 tasses de mélange de randonnée?
- Choices: A) 4 B) 5 C) 6 D) 7
- Hint: Dividing by a fraction means multiplying by its reciprocal.
- Steps:
- 2 ÷ 1/3 = 2 × 3.
- = 6.
- Answer: 6
[Medium] Integer Subtraction
- EN: In Winnipeg, the temperature is −7°C. It drops another 5°C overnight. What is the new temperature?
- FR: À Winnipeg, la température est de −7 °C. Elle baisse encore de 5 °C pendant la nuit. Quelle est la nouvelle température?
- Choices: A) −10 B) −11 C) −12 D) −13
- Hint: Subtracting from a negative number makes it more negative.
- Steps:
- −7 − 5.
- = −12.
- Answer: -12
[Hard] Multi-Step Percent
- EN: A store sells camping gear. A tent originally costs $120. It is on sale for 15% off. What is the sale price?
- FR: Un magasin vend du matériel de camping. Une tente coûte 120 $ à l'origine. Elle est soldée à 15 % de rabais. Quel est le prix de vente?
- Choices: A) 98 B) 100 C) 102 D) 104
- Hint: Find 15% of 120, then subtract from 120.
- Steps:
- 15% of 120 = 120 × 15 ÷ 100 = 18.
- 120 − 18 = 102.
- Answer: 102
[Hard] Algebraic Expression (Two Variables)
- EN: If a = 5 and b = 3, what is 4a − 2b?
- FR: Si a = 5 et b = 3, quelle est la valeur de 4a − 2b?
- Choices: A) 12 B) 14 C) 16 D) 18
- Hint: Substitute the values, multiply each term, then subtract.
- Steps:
- 4 × 5 = 20. 2 × 3 = 6.
- 20 − 6 = 14.
- Answer: 14
[Hard] Ratio and Rate Combined
- EN: A maple syrup farmer produces 3 litres of syrup for every 120 litres of sap. How many litres of syrup are produced from 400 litres of sap?
- FR: Un acériculteur produit 3 litres de sirop pour chaque 120 litres de sève. Combien de litres de sirop produit-il avec 400 litres de sève?
- Choices: A) 8 B) 9 C) 10 D) 11
- Hint: Set up a ratio: 3/120 = ?/400.
- Steps:
- Rate = 3 ÷ 120 = 1/40.
- 400 × (1/40) = 10 litres.
- Answer: 10
[Hard] Order of Operations (All Operations)
- EN: Calculate: 5² − (3 + 2) × 4 + 6 ÷ 2
- FR: Calcule: 5² − (3 + 2) × 4 + 6 ÷ 2
- Choices: A) 6 B) 7 C) 8 D) 9
- Hint: Follow BEDMAS strictly: exponents, then brackets, then multiply/divide left to right, then add/subtract.
- Steps:
- 5² = 25. Brackets: (3+2) = 5. So: 25 − 5 × 4 + 6 ÷ 2.
- Multiply/Divide: 5×4=20, 6÷2=3. Then: 25 − 20 + 3 = 8.
- Answer: 8
Grade 7 Problems
[Easy] Integer Addition
- EN: What is (−9) + 15?
- FR: Combien font (−9) + 15?
- Choices: A) 4 B) 5 C) 6 D) 7
- Hint: Move 15 steps to the right from −9 on a number line.
- Steps:
- −9 + 15 = 15 − 9.
- = 6.
- Answer: 6
[Easy] Percent Discount
- EN: A hockey stick costs $80. It is 10% off. How much do you save?
- FR: Un bâton de hockey coûte 80 $. Il est réduit de 10 %. Combien économises-tu?
- Choices: A) 6 B) 7 C) 8 D) 9
- Hint: 10% means dividing by 10.
- Steps:
- 10% of 80 = 80 ÷ 10.
- = 8.
- Answer: 8
[Easy] One-Step Linear Equation
- EN: Solve for x: x + 9 = 17
- FR: Résous pour x: x + 9 = 17
- Choices: A) 6 B) 7 C) 8 D) 9
- Hint: Subtract 9 from both sides.
- Steps:
- x = 17 − 9.
- x = 8.
- Answer: 8
[Easy] Fraction Fluency
- EN: What is 5/6 + 1/6?
- FR: Combien font 5/6 + 1/6?
- Choices: A) 6/6 B) 6/12 C) 5/12 D) 4/6
- Hint: Add the numerators; keep the denominator.
- Steps:
- 5/6 + 1/6 = 6/6.
- 6/6 = 1 (the answer as a number is 1).
- Answer: 1
[Easy] Integer Subtraction
- EN: What is 4 − (−3)?
- FR: Combien font 4 − (−3)?
- Choices: A) 1 B) 5 C) 7 D) 8
- Hint: Subtracting a negative is like adding a positive.
- Steps:
- 4 − (−3) = 4 + 3.
- = 7.
- Answer: 7
[Medium] Percent Tax
- EN: A skateboard costs $95.00 and has a 13% HST added. How much tax is paid (in dollars, rounded to the nearest cent)?
- FR: Une planche à roulettes coûte 95,00 $. On y ajoute 13 % de TVH. Quel est le montant de la taxe (en dollars)?
- Choices: A) 11.85 B) 12.35 C) 12.95 D) 13.35
- Hint: Multiply 95 by 0.13.
- Steps:
- 95 × 0.13 = 95 × 13 ÷ 100.
- = 12.35.
- Answer: 12.35
[Medium] Surface Area of a Rectangular Prism
- EN: A gift box is 5 cm long, 3 cm wide, and 2 cm tall. What is its surface area?
- FR: Une boîte cadeau a 5 cm de long, 3 cm de large et 2 cm de haut. Quelle est son aire de surface?
- Choices: A) 58 B) 60 C: 62 D) 64
- Hint: Surface area = 2(lw + lh + wh).
- Steps:
- 2(5×3 + 5×2 + 3×2) = 2(15+10+6).
- = 2 × 31 = 62.
- Answer: 62
[Medium] One-Step Equation (Multiplication)
- EN: Solve for y: 6y = 54
- FR: Résous pour y: 6y = 54
- Choices: A) 7 B) 8 C) 9 D) 10
- Hint: Divide both sides by 6.
- Steps:
- y = 54 ÷ 6.
- y = 9.
- Answer: 9
[Medium] Decimal Operations
- EN: A loonie is worth $1.00 and a toonie is worth $2.00. Jake has 5 loonies and 3 toonies. He spends $8.50. How much money does he have left?
- FR: Un huard vaut 1,00 $ et un doubloon vaut 2,00 $. Jake a 5 huards et 3 doubloons. Il dépense 8,50 $. Combien lui reste-t-il?
- Choices: A) 2.00 B) 2.25 C) 2.50 D) 3.00
- Hint: Find the total first, then subtract what was spent.
- Steps:
- 5 × 1.00 + 3 × 2.00 = 5.00 + 6.00 = 11.00.
- 11.00 − 8.50 = 2.50.
- Answer: 2.50
[Medium] Probability
- EN: A bag has 3 red and 7 blue marbles. What is the probability of drawing a red marble? (Give as a number out of 10.)
- FR: Un sac contient 3 billes rouges et 7 billes bleues. Quelle est la probabilité de tirer une bille rouge? (Donne la réponse en nombre sur 10.)
- Choices: A) 2 B) 3 C) 4 D) 5
- Hint: Probability = favourable outcomes ÷ total outcomes.
- Steps:
- Total marbles = 3 + 7 = 10.
- P(red) = 3/10. The numerator is 3.
- Answer: 3
[Medium] Tip Calculation
- EN: A family's meal at a Canadian restaurant costs $60.00. They leave a 15% tip. How many dollars is the tip?
- FR: Le repas d'une famille dans un restaurant canadien coûte 60,00 $. Ils laissent un pourboire de 15 %. Combien de dollars représente ce pourboire?
- Choices: A) 7 B) 8 C) 9 D) 10
- Hint: Find 10% first, then half of that, then add them together.
- Steps:
- 10% of 60 = 6. 5% of 60 = 3.
- 15% = 6 + 3 = 9.
- Answer: 9
[Hard] Two-Step Problem with Integers
- EN: The temperature in Yellowknife was −18°C. It rose 7°C in the morning, then dropped 11°C at night. What was the final temperature?
- FR: La température à Yellowknife était de −18 °C. Elle a monté de 7 °C le matin, puis chuté de 11 °C la nuit. Quelle était la température finale?
- Choices: A) −20 B) −21 C) −22 D) −23
- Hint: Add 7 first, then subtract 11.
- Steps:
- −18 + 7 = −11.
- −11 − 11 = −22.
- Answer: -22
[Hard] Surface Area (Cube)
- EN: A cubic storage bin has sides of 4 m each. What is its total surface area?
- FR: Un bac de rangement cubique a des côtés de 4 m chacun. Quelle est son aire de surface totale?
- Choices: A) 80 B) 88 C) 96 D) 104
- Hint: A cube has 6 identical square faces.
- Steps:
- Area of one face = 4 × 4 = 16.
- Total = 6 × 16 = 96.
- Answer: 96
[Hard] Percent Increase
- EN: Last year, a hockey team scored 40 goals. This year they scored 52 goals. What is the percent increase?
- FR: L'année dernière, une équipe de hockey a marqué 40 buts. Cette année, elle en a marqué 52. Quel est le pourcentage d'augmentation?
- Choices: A) 25 B) 28 C) 30 D) 32
- Hint: Percent increase = (increase ÷ original) × 100.
- Steps:
- Increase = 52 − 40 = 12.
- (12 ÷ 40) × 100 = 30%.
- Answer: 30
[Hard] Data: Mean
- EN: Five students got these scores on a math test: 72, 85, 90, 68, 75. What is the mean score?
- FR: Cinq élèves ont obtenu ces résultats à un test de maths: 72, 85, 90, 68, 75. Quel est le résultat moyen?
- Choices: A) 76 B) 78 C) 80 D) 82
- Hint: Add all scores, then divide by 5.
- Steps:
- 72 + 85 + 90 + 68 + 75 = 390.
- 390 ÷ 5 = 78.
- Answer: 78
Grade 8 Problems
[Easy] Perfect Square
- EN: What is √144?
- FR: Quelle est la valeur de √144?
- Choices: A) 10 B) 11 C) 12 D) 13
- Hint: Think: what number times itself equals 144?
- Steps:
- 12 × 12 = 144.
- √144 = 12.
- Answer: 12
[Easy] Two-Step Equation
- EN: Solve for x: 2x + 5 = 13
- FR: Résous pour x: 2x + 5 = 13
- Choices: A) 3 B) 4 C) 5 D) 6
- Hint: Subtract 5 first, then divide by 2.
- Steps:
- 2x = 13 − 5 = 8.
- x = 8 ÷ 2 = 4.
- Answer: 4
[Easy] Percent Increase
- EN: A sweater was $40. It now costs $50. What is the percent increase in price?
- FR: Un chandail coûtait 40 $. Il coûte maintenant 50 $. Quel est le pourcentage d'augmentation de prix?
- Choices: A) 20 B) 22 C) 25 D) 30
- Hint: Percent increase = (change ÷ original) × 100.
- Steps:
- Change = 50 − 40 = 10.
- (10 ÷ 40) × 100 = 25%.
- Answer: 25
[Easy] Pythagorean Theorem (Find Hypotenuse)
- EN: A right triangle has legs of 3 cm and 4 cm. What is the length of the hypotenuse?
- FR: Un triangle rectangle a des côtés de 3 cm et 4 cm. Quelle est la longueur de l'hypoténuse?
- Choices: A) 4 B) 5 C) 6 D) 7
- Hint: Use a² + b² = c².
- Steps:
- 3² + 4² = 9 + 16 = 25.
- c = √25 = 5.
- Answer: 5
[Easy] Mean of a Data Set
- EN: A student's test scores are 80, 90, 70, and 60. What is the mean?
- FR: Les résultats d'un élève sont 80, 90, 70 et 60. Quel est la moyenne?
- Choices: A) 72 B) 74 C) 75 D) 80
- Hint: Add all scores, then divide by how many there are.
- Steps:
- 80 + 90 + 70 + 60 = 300.
- 300 ÷ 4 = 75.
- Answer: 75
[Medium] Two-Step Equation (Fractions)
- EN: Solve for x: x/3 + 4 = 9
- FR: Résous pour x: x/3 + 4 = 9
- Choices: A) 12 B) 15 C) 18 D) 21
- Hint: Subtract 4, then multiply both sides by 3.
- Steps:
- x/3 = 9 − 4 = 5.
- x = 5 × 3 = 15.
- Answer: 15
[Medium] Pythagorean Theorem (Missing Leg)
- EN: A right triangle has a hypotenuse of 13 m and one leg of 5 m. What is the other leg?
- FR: Un triangle rectangle a une hypoténuse de 13 m et un côté de 5 m. Quel est l'autre côté?
- Choices: A) 10 B) 11 C) 12 D) 13
- Hint: Use a² = c² − b².
- Steps:
- a² = 13² − 5² = 169 − 25 = 144.
- a = √144 = 12.
- Answer: 12
[Medium] Slope Introduction
- EN: A line passes through (0, 2) and (4, 10). What is the slope?
- FR: Une droite passe par (0, 2) et (4, 10). Quel est le taux de variation (pente)?
- Choices: A) 1 B) 2 C) 3 D) 4
- Hint: Slope = (change in y) ÷ (change in x).
- Steps:
- Rise = 10 − 2 = 8. Run = 4 − 0 = 4.
- Slope = 8 ÷ 4 = 2.
- Answer: 2
[Medium] Square Roots
- EN: Which two whole numbers is √50 between? (Give the larger of the two numbers.)
- FR: Entre quels deux entiers se trouve √50? (Donne le plus grand des deux entiers.)
- Choices: A) 6 B) 7 C) 8 D) 9
- Hint: Think about which perfect squares are closest to 50.
- Steps:
- 7² = 49 and 8² = 64. So √50 is between 7 and 8.
- The larger number is 8.
- Answer: 8
[Medium] Percent Decrease
- EN: A winter jacket was $200. It is now $160 after a sale. What is the percent decrease?
- FR: Un manteau d'hiver coûtait 200 $. Il coûte maintenant 160 $ après une vente. Quel est le pourcentage de baisse?
- Choices: A) 15 B) 18 C) 20 D) 25
- Hint: Percent decrease = (decrease ÷ original) × 100.
- Steps:
- Decrease = 200 − 160 = 40.
- (40 ÷ 200) × 100 = 20%.
- Answer: 20
[Medium] Median
- EN: Find the median of: 5, 12, 3, 9, 7
- FR: Trouve la médiane de: 5, 12, 3, 9, 7
- Choices: A) 5 B) 7 C) 9 D) 12
- Hint: Order the numbers from least to greatest, then find the middle one.
- Steps:
- Ordered: 3, 5, 7, 9, 12.
- Middle value = 7.
- Answer: 7
[Hard] Two-Step Equation (Negative Solution)
- EN: Solve for x: 3x + 22 = 7
- FR: Résous pour x: 3
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