Daily Math — 2026-06-16
Grade 1 Problems
[Easy] Counting Crayons
- EN: Mia has 7 crayons. She gets 3 more. How many crayons does she have now?
- FR: Mia a 7 crayons. Elle en reçoit 3 de plus. Combien de crayons a-t-elle maintenant?
- Choices: A) 9 B) 10 C) 11 D) 8
- Hint: Count on from 7.
- Steps:
- Start at 7.
- Count 3 more: 8, 9, 10.
- Answer: 10
[Easy] Hockey Goals
- EN: Lucas scored 5 goals on Monday and 4 goals on Tuesday. How many goals did he score in total?
- FR: Lucas a marqué 5 buts lundi et 4 buts mardi. Combien de buts a-t-il marqués en tout?
- Choices: A) 8 B) 7 C) 9 D) 10
- Hint: Add the two numbers together.
- Steps:
- Start with 5.
- Add 4: 5 + 4 = 9.
- Answer: 9
[Easy] Snowflakes
- EN: There are 12 snowflakes on a window. 4 melt away. How many are left?
- FR: Il y a 12 flocons de neige sur une fenêtre. 4 fondent. Combien en reste-t-il?
- Choices: A) 6 B) 9 C) 8 D) 7
- Hint: Start at 12 and count back 4.
- Steps:
- Start at 12.
- Count back 4: 11, 10, 9, 8.
- Answer: 8
[Easy] Skip Counting by 2s
- EN: Count by 2s: 2, 4, 6, 8, ___. What number comes next?
- FR: Compte par 2: 2, 4, 6, 8, ___. Quel nombre vient ensuite?
- Choices: A) 9 B) 11 C) 10 D) 12
- Hint: Add 2 to the last number.
- Steps:
- The last number is 8.
- 8 + 2 = 10.
- Answer: 10
[Medium] Pennies in a Jar
- EN: Sasha has 9 pennies in a jar. She adds 6 more. How many pennies are in the jar now?
- FR: Sasha a 9 sous dans un pot. Elle en ajoute 6 de plus. Combien de sous y a-t-il maintenant?
- Choices: A) 13 B) 14 C) 15 D) 16
- Hint: Try making a ten first.
- Steps:
- 9 + 1 = 10, so take 1 from 6, leaving 5.
- 10 + 5 = 15.
- Answer: 15
[Medium] Maple Leaf Stickers
- EN: Theo has 18 maple leaf stickers. He gives 7 to his friend. How many does he have left?
- FR: Theo a 18 autocollants feuille d'érable. Il en donne 7 à son ami. Combien lui en reste-t-il?
- Choices: A) 10 B) 11 C) 12 D) 9
- Hint: Count back from 18.
- Steps:
- Start at 18.
- Subtract 7: 18 − 7 = 11.
- Answer: 11
[Medium] Skip Counting by 5s
- EN: Count by 5s: 5, 10, 15, 20, ___. What comes next?
- FR: Compte par 5: 5, 10, 15, 20, ___. Quel nombre vient ensuite?
- Choices: A) 22 B) 24 C) 25 D) 30
- Hint: Add 5 to the last number.
- Steps:
- The last number is 20.
- 20 + 5 = 25.
- Answer: 25
[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) 17 C) 15 D) 16
- Hint: Think about which number you reach later when counting.
- Steps:
- Count: 14 comes before 17.
- 17 is farther along, so it is bigger.
- Answer: 17
[Hard] Dimes and Nickels
- EN: Emma has 1 dime and 2 nickels. How many cents does she have in total?
- FR: Emma a 1 pièce de 10 cents et 2 pièces de 5 cents. Combien de cents a-t-elle en tout?
- Choices: A) 15 B) 25 C) 20 D) 17
- Hint: A dime is worth 10 cents and a nickel is worth 5 cents.
- Steps:
- 1 dime = 10 cents.
- 2 nickels = 5 + 5 = 10 cents; 10 + 10 = 20 cents.
- Answer: 20
[Hard] Number Story
- EN: There are 8 kids on a sled. 3 more join, then 4 go home. How many kids are on the sled now?
- FR: Il y a 8 enfants sur un traîneau. 3 de plus se joignent, puis 4 rentrent à la maison. Combien d'enfants sont sur le traîneau maintenant?
- Choices: A) 6 B) 7 C) 8 D) 9
- Hint: First add, then subtract.
- Steps:
- 8 + 3 = 11.
- 11 − 4 = 7.
- Answer: 7
Grade 2 Problems
[Easy] Adding at Tim Hortons
- EN: A muffin costs 32¢ and a juice costs 25¢. How many cents do they cost together?
- FR: Un muffin coûte 32¢ et un jus coûte 25¢. Combien de cents coûtent-ils ensemble?
- Choices: A) 55 B) 57 C) 56 D) 58
- Hint: Add the tens first, then the ones.
- Steps:
- 30 + 20 = 50.
- 2 + 5 = 7; 50 + 7 = 57.
- Answer: 57
[Easy] Snowfall
- EN: It snowed 14 cm on Saturday and 23 cm on Sunday. How much snow fell in all?
- FR: Il a neigé 14 cm samedi et 23 cm dimanche. Quelle quantité de neige est tombée en tout?
- Choices: A) 36 B) 37 C) 38 D) 35
- Hint: Add the tens, then the ones.
- Steps:
- 10 + 20 = 30.
- 4 + 3 = 7; 30 + 7 = 37.
- Answer: 37
[Easy] Telling Time
- EN: The clock shows 3 o'clock. What number is the hour hand pointing to?
- FR: L'horloge indique 3 heures. Sur quel chiffre la grande aiguille pointe-t-elle?
- Choices: A) 6 B) 12 C) 3 D) 9
- Hint: The hour hand points to the hour number.
- Steps:
- At 3 o'clock, the hour hand points to 3.
- The minute hand points to 12.
- Answer: 3
[Easy] Measuring a Pencil
- EN: A pencil is 15 cm long. A pen is 3 cm shorter. How long is the pen?
- FR: Un crayon mesure 15 cm de long. Un stylo est 3 cm plus court. Quelle est la longueur du stylo?
- Choices: A) 11 B) 13 C) 12 D) 14
- Hint: Subtract to find the shorter length.
- Steps:
- 15 − 3 = 12.
- The pen is 12 cm long.
- Answer: 12
[Medium] Coins to $1
- EN: Priya has 3 quarters. How many cents does she have?
- FR: Priya a 3 pièces de 25 cents. Combien de cents a-t-elle?
- Choices: A) 65 B) 70 C) 75 D) 80
- Hint: Each quarter is worth 25 cents.
- Steps:
- 25 + 25 = 50.
- 50 + 25 = 75.
- Answer: 75
[Medium] Pattern
- EN: What number comes next in this pattern: 10, 20, 30, 40, ___?
- FR: Quel nombre vient ensuite dans ce motif: 10, 20, 30, 40, ___?
- Choices: A) 45 B) 48 C) 50 D) 55
- Hint: Count by 10s.
- Steps:
- Each number goes up by 10.
- 40 + 10 = 50.
- Answer: 50
[Medium] Subtraction within 100
- EN: There are 74 hockey cards. Owen gives away 28. How many are left?
- FR: Il y a 74 cartes de hockey. Owen en donne 28. Combien en reste-t-il?
- Choices: A) 44 B) 45 C) 46 D) 47
- Hint: Subtract the tens, then the ones.
- Steps:
- 74 − 20 = 54.
- 54 − 8 = 46.
- Answer: 46
[Medium] Half Hour
- EN: School starts at half past 8. What time is that?
- FR: L'école commence à 8 heures et demie. Quelle heure est-ce?
- Choices: A) 8:00 B) 8:15 C) 8:30 D) 8:45
- Hint: Half past means 30 minutes after the hour.
- Steps:
- Half past 8 means 30 minutes after 8.
- That is 8:30.
- Answer: 830
[Hard] Loonie Problem
- EN: Jax has 85 cents. He spends 47 cents on a snack. How many cents does he have left?
- FR: Jax a 85 cents. Il dépense 47 cents pour une collation. Combien de cents lui reste-t-il?
- Choices: A) 36 B) 37 C) 38 D) 39
- Hint: Subtract carefully by breaking apart 47.
- Steps:
- 85 − 40 = 45.
- 45 − 7 = 38.
- Answer: 38
[Hard] Measuring and Adding
- EN: A desk is 62 cm wide and a chair is 39 cm wide. How wide are they together?
- FR: Un bureau a 62 cm de large et une chaise a 39 cm de large. Quelle est leur largeur ensemble?
- Choices: A) 99 B) 100 C) 101 D) 102
- Hint: Add the ones first, then carry if needed.
- Steps:
- 2 + 9 = 11; write 1, carry 1.
- 6 + 3 + 1 = 10; answer is 101.
- Answer: 101
Grade 3 Problems
[Easy] Multiplication by 2
- EN: Each bag has 2 apples. There are 6 bags. How many apples are there in all?
- FR: Chaque sac contient 2 pommes. Il y a 6 sacs. Combien y a-t-il de pommes en tout?
- Choices: A) 10 B) 12 C) 14 D) 8
- Hint: Multiply 2 by the number of bags.
- Steps:
- 2 × 6 = 12.
- There are 12 apples in all.
- Answer: 12
[Easy] Division
- EN: 15 maple syrup candies are shared equally among 5 kids. How many does each kid get?
- FR: 15 bonbons au sirop d'érable sont partagés également entre 5 enfants. Combien chacun en reçoit-il?
- Choices: A) 2 B) 4 C) 3 D) 5
- Hint: Think: 5 times what number equals 15?
- Steps:
- 15 ÷ 5 = ?
- 5 × 3 = 15, so each kid gets 3.
- Answer: 3
[Easy] Fraction Half
- EN: A pizza is cut into 4 equal slices. Lily eats 2 slices. What fraction did she eat?
- FR: Une pizza est coupée en 4 parts égales. Lily en mange 2. Quelle fraction a-t-elle mangée?
- Choices: A) 1/4 B) 3/4 C) 1/2 D) 1/3
- Hint: How many slices out of 4 did she eat?
- Steps:
- She ate 2 out of 4 slices.
- 2/4 = 1/2.
- Answer: 2
[Easy] Multiplication by 5
- EN: A hockey player scores 5 goals each game. He plays 4 games. How many goals total?
- FR: Un joueur de hockey marque 5 buts par partie. Il joue 4 parties. Combien de buts en tout?
- Choices: A) 15 B) 20 C) 25 D) 18
- Hint: Multiply 5 by the number of games.
- Steps:
- 5 × 4 = 20.
- He scored 20 goals in total.
- Answer: 20
[Medium] Perimeter
- EN: A rectangular garden is 8 m long and 4 m wide. What is its perimeter?
- FR: Un jardin rectangulaire a 8 m de long et 4 m de large. Quel est son périmètre?
- Choices: A) 20 B) 22 C) 24 D) 26
- Hint: Add all four sides together.
- Steps:
- Perimeter = 8 + 4 + 8 + 4.
- 8 + 4 + 8 + 4 = 24.
- Answer: 24
[Medium] Multiplication by 3
- EN: Each table at the Tim Hortons has 3 chairs. There are 7 tables. How many chairs are there?
- FR: Chaque table au Tim Hortons a 3 chaises. Il y a 7 tables. Combien y a-t-il de chaises?
- Choices: A) 18 B) 21 C) 24 D) 20
- Hint: Multiply 3 by 7.
- Steps:
- 3 × 7 = 21.
- There are 21 chairs.
- Answer: 21
[Medium] Reading a Graph
- EN: A bar graph shows: Monday 4 skaters, Tuesday 7 skaters, Wednesday 5 skaters. How many skaters in total?
- FR: Un diagramme à barres montre: lundi 4 patineurs, mardi 7 patineurs, mercredi 5 patineurs. Combien de patineurs en tout?
- Choices: A) 14 B) 16 C) 15 D) 17
- Hint: Add the three numbers.
- Steps:
- 4 + 7 = 11.
- 11 + 5 = 16.
- Answer: 16
[Medium] Division with 10
- EN: 40 campfire logs are stacked in groups of 10. How many groups are there?
- FR: 40 bûches de campfire sont empilées par groupes de 10. Combien y a-t-il de groupes?
- Choices: A) 3 B) 4 C) 5 D) 6
- Hint: Divide 40 by 10.
- Steps:
- 40 ÷ 10 = 4.
- There are 4 groups.
- Answer: 4
[Hard] Fractions on a Number Line
- EN: A ribbon is 12 cm long. Ava cuts off 1/3 of it. How many centimetres did she cut off?
- FR: Un ruban mesure 12 cm de long. Ava en coupe 1/3. Combien de centimètres a-t-elle coupés?
- Choices: A) 3 B) 4 C) 5 D) 6
- Hint: Divide the total length into 3 equal parts.
- Steps:
- 12 ÷ 3 = 4.
- She cut off 4 cm.
- Answer: 4
[Hard] Two-Step Problem
- EN: A box has 5 rows of 4 chocolates. Noah eats 7. How many chocolates are left?
- FR: Une boîte contient 5 rangées de 4 chocolats. Noah en mange 7. Combien de chocolats reste-t-il?
- Choices: A) 11 B) 12 C) 13 D) 14
- Hint: First find the total, then subtract.
- Steps:
- 5 × 4 = 20 chocolates total.
- 20 − 7 = 13.
- Answer: 13
Grade 4 Problems
[Easy] Multiplication Tables
- EN: What is 7 × 8?
- FR: Combien font 7 × 8?
- Choices: A) 54 B) 56 C) 58 D) 63
- Hint: Think of 7 groups of 8.
- Steps:
- 7 × 8 = 56.
- Check: 8 × 7 = 56.
- Answer: 56
[Easy] Decimal Place Value
- EN: What is the value of the digit 3 in 4.37?
- FR: Quelle est la valeur du chiffre 3 dans 4,37?
- Choices: A) 3 B) 0.3 C) 0.03 D) 30
- Hint: The first digit after the decimal is in the tenths place.
- Steps:
- 4 is in the ones place, 3 is in the tenths place.
- The value of 3 is 0.3.
- Answer: 0.3
[Easy] Area of a Rectangle
- EN: A hockey rink floor mat is 9 m long and 5 m wide. What is its area?
- FR: Un tapis de patinoire mesure 9 m de long et 5 m de large. Quelle est son aire?
- Choices: A) 40 B) 42 C) 45 D) 28
- Hint: Multiply length by width.
- Steps:
- Area = 9 × 5.
- 9 × 5 = 45 m².
- Answer: 45
[Easy] Long Division
- EN: 36 camping tent pegs are shared equally among 4 tents. How many pegs per tent?
- FR: 36 piquets de tente sont partagés également entre 4 tentes. Combien de piquets par tente?
- Choices: A) 7 B) 8 C) 9 D) 10
- Hint: Divide 36 by 4.
- Steps:
- 36 ÷ 4 = 9.
- Each tent gets 9 pegs.
- Answer: 9
[Medium] Long Division with Remainders
- EN: 50 school notebooks are packed into boxes of 7. How many boxes are full, and how many notebooks are left over?
- FR: 50 cahiers d'école sont rangés dans des boîtes de 7. Combien de boîtes sont pleines et combien de cahiers reste-t-il?
- Choices: A) 6 remainder 8 B) 7 remainder 1 C) 7 remainder 2 D) 8 remainder 0
- Hint: Find how many times 7 goes into 50.
- Steps:
- 7 × 7 = 49; 50 − 49 = 1.
- 7 full boxes with 1 notebook left over.
- Answer: 7
[Medium] Comparing Fractions
- EN: Which fraction is greater: 3/4 or 2/3?
- FR: Quelle fraction est la plus grande: 3/4 ou 2/3?
- Choices: A) 2/3 B) 3/4 C) They are equal D) Cannot tell
- Hint: Convert both to the same denominator (12ths).
- Steps:
- 3/4 = 9/12; 2/3 = 8/12.
- 9/12 > 8/12, so 3/4 is greater.
- Answer: 3
[Medium] Elapsed Time
- EN: A hockey game starts at 2:15 PM and ends at 4:45 PM. How many minutes does it last?
- FR: Un match de hockey commence à 14h15 et se termine à 16h45. Combien de minutes dure-t-il?
- Choices: A) 120 B) 130 C) 145 D) 150
- Hint: Count the hours and minutes separately.
- Steps:
- From 2:15 to 4:15 is 2 hours = 120 minutes.
- From 4:15 to 4:45 is 30 more minutes; 120 + 30 = 150.
- Answer: 150
[Medium] Decimal Operations
- EN: Maya bought a book for $4.75 and a pen for $1.35. How much did she spend in total?
- FR: Maya a acheté un livre pour 4,75 $ et un stylo pour 1,35 $. Combien a-t-elle dépensé en tout?
- Choices: A) $5.90 B) $6.00 C) $6.10 D) $6.20
- Hint: Line up the decimal points when adding.
- Steps:
- $4.75 + $1.35 = ?
- 75 + 35 = 110 cents = $1.10; $4 + $1 + $1.10 = $6.10.
- Answer: 6.10
[Hard] Multi-Step Division
- EN: A farmer fills 9 bags with 47 apples each. He then puts all apples equally into crates holding 9 apples each. How many full crates does he fill?
- FR: Un fermier remplit 9 sacs avec 47 pommes chacun. Il les remet ensuite également dans des caisses de 9 pommes. Combien de caisses pleines remplit-il?
- Choices: A) 45 B) 47 C) 43 D) 44
- Hint: First multiply, then divide.
- Steps:
- 9 × 47 = 423 apples total.
- 423 ÷ 9 = 47 full crates.
- Answer: 47
[Hard] Decimal and Area
- EN: A rectangular campsite is 12.5 m long and 4 m wide. What is its area in square metres?
- FR: Un terrain de camping rectangulaire mesure 12,5 m de long et 4 m de large. Quelle est son aire en mètres carrés?
- Choices: A) 48 B) 50 C) 52 D) 54
- Hint: Multiply length by width.
- Steps:
- Area = 12.5 × 4.
- 12.5 × 4 = 50.
- Answer: 50
Grade 5 Problems
[Easy] Multi-Digit Multiplication
- EN: A store sells 125 bottles of maple syrup each day. How many bottles are sold in 6 days?
- FR: Un magasin vend 125 bouteilles de sirop d'érable par jour. Combien de bouteilles sont vendues en 6 jours?
- Choices: A) 720 B) 730 C) 740 D) 750
- Hint: Multiply 125 by 6.
- Steps:
- 125 × 6: 100 × 6 = 600, 25 × 6 = 150.
- 600 + 150 = 750.
- Answer: 750
[Easy] Decimal Addition
- EN: A skater scored 8.45 in the first round and 9.30 in the second round. What is the total score?
- FR: Un patineur a obtenu 8,45 au premier tour et 9,30 au deuxième tour. Quel est le score total?
- Choices: A) 17.65 B) 17.70 C) 17.75 D) 17.80
- Hint: Line up decimals and add.
- Steps:
- 8.45 + 9.30: add tenths 4 + 3 = 7, hundredths 5 + 0 = 5.
- 8 + 9 = 17; total = 17.75.
- Answer: 17.75
[Easy] Adding Fractions
- EN: Emma ate 2/8 of a pie and her brother ate 3/8. How much of the pie did they eat together?
- FR: Emma a mangé 2/8 d'une tarte et son frère en a mangé 3/8. Quelle fraction ont-ils mangée ensemble?
- Choices: A) 4/8 B) 5/8 C) 6/8 D) 5/16
- Hint: Add the numerators, keep the denominator the same.
- Steps:
- 2/8 + 3/8 = (2+3)/8.
- = 5/8.
- Answer: 5
[Easy] 10% of a Number
- EN: 10% of $90 is what amount?
- FR: 10% de 90 $ est quel montant?
- Choices: A) $7 B) $8 C) $9 D) $10
- Hint: Divide by 10 to find 10%.
- Steps:
- 10% means divide by 10.
- $90 ÷ 10 = $9.
- Answer: 9
[Medium] Multi-Digit Division
- EN: A school orders 672 pencils to share equally among 8 classrooms. How many pencils per classroom?
- FR: Une école commande 672 crayons à distribuer également dans 8 classes. Combien de crayons par classe?
- Choices: A) 82 B) 84 C) 86 D) 88
- Hint: Divide 672 by 8.
- Steps:
- 640 ÷ 8 = 80; 32 ÷ 8 = 4.
- 80 + 4 = 84.
- Answer: 84
[Medium] Subtracting Fractions
- EN: A water bottle holds 7/10 of a litre. After a hike, 3/10 is gone. How much water is left?
- FR: Une bouteille d'eau contient 7/10 de litre. Après une randonnée, 3/10 est parti. Combien d'eau reste-t-il?
- Choices: A) 3/10 B) 4/10 C) 5/10 D) 2/10
- Hint: Subtract the numerators.
- Steps:
- 7/10 − 3/10 = (7−3)/10.
- = 4/10.
- Answer: 4
[Medium] Percentage — 25%
- EN: A jacket costs $80. It is on sale for 25% off. How much is saved?
- FR: Une veste coûte 80 $. Elle est soldée à 25% de rabais. Combien économise-t-on?
- Choices: A) $15 B) $18 C) $20 D) $25
- Hint: 25% is one quarter of the price.
- Steps:
- 25% of $80 = $80 ÷ 4.
- $80 ÷ 4 = $20.
- Answer: 20
[Medium] Volume of 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 mesure 5 cm de long, 4 cm de large et 3 cm de hauteur. Quel est son volume?
- Choices: A) 55 B) 60 C) 65 D) 70
- Hint: Multiply length × width × height.
- Steps:
- 5 × 4 = 20.
- 20 × 3 = 60.
- Answer: 60
[Hard] Decimal Multiplication
- EN: A snow blower clears 3.75 metres per minute. How many metres does it clear in 12 minutes?
- FR: Un souffleur à neige dégage 3,75 mètres par minute. Combien de mètres dégage-t-il en 12 minutes?
- Choices: A) 42 B) 43 C) 44 D) 45
- Hint: Multiply 3.75 by 12.
- Steps:
- 3.75 × 12 = 3.75 × 10 + 3.75 × 2 = 37.5 + 7.5.
- 37.5 + 7.5 = 45.
- Answer: 45
[Hard] Multi-Step Fraction and Percent
- EN: A class of 40 students voted on a class trip. Half voted for camping, and 25% voted for a museum. How many students voted for either camping or the museum?
- FR: Une classe de 40 élèves a voté pour une sortie. La moitié a voté pour le camping et 25% pour le musée. Combien d'élèves ont voté pour l'un ou l'autre?
- Choices: A) 25 B) 28 C) 30 D) 32
- Hint: Find half of 40, then find 25% of 40, then add.
- Steps:
- Half of 40 = 20; 25% of 40 = 10.
- 20 + 10 = 30 students.
- Answer: 30
Grade 6 Problems
[Easy] Percent of a Number
- EN: What is 30% of 200?
- FR: Combien font 30% de 200?
- Choices: A) 50 B) 60 C) 70 D) 80
- Hint: Find 10% first, then multiply by 3.
- Steps:
- 10% of 200 = 20.
- 30% = 20 × 3 = 60.
- Answer: 60
[Easy] Ratio
- EN: In a bag of trail mix, there are 4 raisins for every 6 peanuts. What is the ratio of raisins to peanuts in simplest form?
- FR: Dans un sac de mélange à randonnée, il y a 4 raisins pour 6 arachides. Quel est le rapport raisins/arachides sous forme simplifiée?
- Choices: A) 4:6 B) 2:3 C) 1:2 D) 3:4
- Hint: Divide both numbers by their greatest common factor.
- Steps:
- GCF of 4 and 6 is 2.
- 4 ÷ 2 = 2; 6 ÷ 2 = 3; ratio is 2:3.
- Answer: 2
[Easy] Integer Introduction
- EN: The temperature in Winnipeg was −5°C in the morning. By noon it rose 8 degrees. What is the temperature at noon?
- FR: La température à Winnipeg était de −5°C le matin. Elle a monté de 8 degrés à midi. Quelle est la température à midi?
- Choices: A) 2 B) 3 C) 4 D) 5
- Hint: Start at −5 and count up 8.
- Steps:
- −5 + 8 = 3.
- The temperature at noon is 3°C.
- Answer: 3
[Easy] Order of Operations
- EN: Evaluate: 3 + 4 × 2
- FR: Évalue: 3 + 4 × 2
- Choices: A) 14 B) 11 C) 10 D) 9
- Hint: Multiplication comes before addition (BEDMAS).
- Steps:
- Do multiplication first: 4 × 2 = 8.
- Then add: 3 + 8 = 11.
- Answer: 11
[Easy] Simple Algebraic Expression
- EN: If n = 5, what is the value of 3n + 4?
- FR: Si n = 5, quelle est la valeur de 3n + 4?
- Choices: A) 17 B) 18 C) 19 D) 20
- Hint: Substitute 5 in place of n and calculate.
- Steps:
- 3 × 5 = 15.
- 15 + 4 = 19.
- Answer: 19
[Medium] Fraction Multiplication
- EN: A recipe calls for 3/4 cup of maple syrup. If you make 2/3 of the recipe, how much maple syrup do you need?
- FR: Une recette demande 3/4 tasse de sirop d'érable. Si tu fais 2/3 de la recette, combien de sirop d'érable faut-il?
- Choices: A) 1/2 B) 5/12 C) 1/4 D) 3/7
- Hint: Multiply the two fractions together.
- Steps:
- 3/4 × 2/3 = (3×2)/(4×3) = 6/12.
- 6/12 = 1/2.
- Answer: 1
[Medium] Fraction Division
- EN: How many 1/4-cup servings are in 3 cups of orange juice?
- FR: Combien de portions de 1/4 de tasse y a-t-il dans 3 tasses de jus d'orange?
- Choices: A) 10 B) 12 C) 14 D) 16
- Hint: Divide 3 by 1/4 (multiply by the reciprocal).
- Steps:
- 3 ÷ 1/4 = 3 × 4 = 12.
- There are 12 servings.
- Answer: 12
[Medium] Rate Problem
- EN: A skater skates 45 km in 3 hours. What is the skater's average speed in km/h?
- FR: Un patineur parcourt 45 km en 3 heures. Quelle est sa vitesse moyenne en km/h?
- Choices: A) 12 B) 13 C) 15 D) 18
- Hint: Divide distance by time.
- Steps:
- Speed = 45 ÷ 3.
- = 15 km/h.
- Answer: 15
[Medium] BEDMAS with Brackets
- EN: Evaluate: (6 + 2) × 3 − 4
- FR: Évalue: (6 + 2) × 3 − 4
- Choices: A) 18 B) 20 C) 22 D) 24
- Hint: Solve inside the brackets first.
- Steps:
- (6 + 2) = 8; 8 × 3 = 24.
- 24 − 4 = 20.
- Answer: 20
[Medium] Percent Discount
- EN: A $50 Tim Hortons gift card is on sale for 20% off. What is the sale price?
- FR: Une carte-cadeau Tim Hortons de 50 $ est soldée à 20% de rabais. Quel est le prix de vente?
- Choices: A) $35 B) $38 C) $40 D) $42
- Hint: Find 20% of $50, then subtract from $50.
- Steps:
- 20% of $50 = $10.
- $50 − $10 = $40.
- Answer: 40
[Medium] Algebraic Expression
- EN: Simplify: 4x + 7 − 2x + 3
- FR: Simplifie: 4x + 7 − 2x + 3
- Choices: A) 2x + 10 B) 6x + 10 C) 2x + 4 D) 4x + 4
- Hint: Combine like terms.
- Steps:
- 4x − 2x = 2x.
- 7 + 3 = 10; simplified: 2x + 10.
- Answer: 10
[Hard] Integer Operations
- EN: A diver is at −18 m. She swims up 7 m and then dives down 4 m. What is her new depth?
- FR: Une plongeuse est à −18 m. Elle remonte de 7 m puis plonge de 4 m. Quelle est sa nouvelle profondeur?
- Choices: A) −13 B) −14 C) −15 D) −16
- Hint: Use integer addition: going up is positive, going down is negative.
- Steps:
- −18 + 7 = −11.
- −11 − 4 = −15.
- Answer: -15
[Hard] Ratio and Rate Problem
- EN: A car uses 8 L of gas every 100 km. How many litres are needed to travel 350 km?
- FR: Une voiture consomme 8 L d'essence aux 100 km. Combien de litres faut-il pour parcourir 350 km?
- Choices: A) 24 B) 26 C) 28 D) 30
- Hint: Set up a proportion: 8/100 = x/350.
- Steps:
- 8/100 = x/350; x = 8 × 350 ÷ 100.
- x = 2800 ÷ 100 = 28 L.
- Answer: 28
[Hard] Complex BEDMAS
- EN: Evaluate: 20 − (3² + 1) × 2
- FR: Évalue: 20 − (3² + 1) × 2
- Choices: A) −1 B) 0 C) 1 D) 2
- Hint: Deal with exponents inside the brackets first.
- Steps:
- 3² = 9; 9 + 1 = 10.
- 10 × 2 = 20; 20 − 20 = 0.
- Answer: 0
[Hard] Multi-Step Percent
- EN: A hockey jersey originally costs $120. The store raises the price by 10%, then offers a 10% discount. What is the final price?
- FR: Un maillot de hockey coûte originalement 120 $. Le magasin hausse le prix de 10%, puis offre un rabais de 10%. Quel est le prix final?
- Choices: A) $118.80 B) $119.00 C) $120.00 D) $121.00
- Hint: A 10% increase followed by a 10% decrease does not return to the original price.
- Steps:
- $120 × 1.10 = $132.
- $132 × 0.90 = $118.80.
- Answer: 118.80
Grade 7 Problems
[Easy] Integer Addition
- EN: The temperature dropped from 4°C to −9°C overnight. What is the change in temperature?
- FR: La température a chuté de 4°C à −9°C pendant la nuit. Quel est le changement de température?
- Choices: A) −12 B) −13 C) −14 D) −15
- Hint: Subtract the final temperature from the starting temperature.
- Steps:
- Change = −9 − 4 = −13.
- The temperature dropped by 13°C.
- Answer: -13
[Easy] Percent — Discount
- EN: Skates originally cost $160. They are on sale for 15% off. How much is the discount?
- FR: Des patins coûtaient 160 $. Ils sont soldés à 15% de rabais. Quel est le montant du rabais?
- Choices: A) $20 B) $22 C) $24 D) $25
- Hint: Find 15% of $160.
- Steps:
- 10% of $160 = $16; 5% = $8.
- 15% = $16 + $8 = $24.
- Answer: 24
[Easy] Mean
- EN: Find the mean of these scores: 12, 15, 18, 11, 14.
- FR: Trouve la moyenne de ces résultats: 12, 15, 18, 11, 14.
- Choices: A) 13 B) 14 C) 15 D) 16
- Hint: Add all values, then divide by how many there are.
- Steps:
- 12 + 15 + 18 + 11 + 14 = 70.
- 70 ÷ 5 = 14.
- Answer: 14
[Easy] One-Step Equation
- EN: Solve: x + 9 = 22
- FR: Résous: x + 9 = 22
- Choices: A) 11 B) 12 C) 13 D) 14
- Hint: Subtract 9 from both sides.
- Steps:
- x = 22 − 9.
- x = 13.
- Answer: 13
[Easy] Fraction Fluency
- EN: What is 5/6 − 1/6?
- FR: Combien font 5/6 − 1/6?
- Choices: A) 2/3 B) 3/4 C) 4/6 D) 5/12
- Hint: Subtract the numerators; the denominator stays the same.
- Steps:
- 5/6 − 1/6 = 4/6.
- 4/6 = 2/3.
- Answer: 2
[Medium] Integer Multiplication
- EN: A submarine descends 12 metres every minute. What is its depth after 7 minutes?
- FR: Un sous-marin descend de 12 mètres par minute. Quelle est sa profondeur après 7 minutes?
- Choices: A) −74 B) −82 C) −84 D) −86
- Hint: Multiply 12 by 7, then make it negative.
- Steps:
- 12 × 7 = 84.
- Going down = negative: depth is −84 m.
- Answer: -84
[Medium] Tip Calculation
- EN: A family's restaurant bill is $65. They want to leave a 15% tip. How much is the tip?
- FR: La facture d'un restaurant est de 65 $. La famille veut laisser un pourboire de 15%. Quel est le montant du pourboire?
- Choices: A) $8.75 B) $9.75 C) $10.25 D) $10.75
- Hint: Find 10% then 5% and add them.
- Steps:
- 10% of $65 = $6.50; 5% = $3.25.
- $6.50 + $3.25 = $9.75.
- Answer: 9.75
[Medium] Surface Area
- EN: A rectangular box is 6 cm × 4 cm × 3 cm. What is its surface area?
- FR: Une boîte rectangulaire mesure 6 cm × 4 cm × 3 cm. Quelle est son aire totale?
- Choices: A) 96 B) 100 C) 108 D) 120
- Hint: SA = 2(lw + lh + wh).
- Steps:
- 2(6×4 + 6×3 + 4×3) = 2(24 + 18 + 12).
- 2 × 54 = 108.
- Answer: 108
[Medium] Probability
- EN: A bag has 3 red marbles, 4 blue marbles, and 3 green marbles. What is the probability of picking a blue marble?
- FR: Un sac contient 3 billes rouges, 4 bleues et 3 vertes. Quelle est la probabilité de tirer une bille bleue?
- Choices: A) 2/5 B) 3/10 C) 4/10 D) 1/3
- Hint: Probability = favourable outcomes ÷ total outcomes.
- Steps:
- Total = 3 + 4 + 3 = 10.
- P(blue) = 4/10 = 2/5.
- Answer: 2
[Medium] Fraction × Whole Number
- EN: A recipe needs 2/3 cup of sugar. If you triple the recipe, how many cups of sugar do you need?
- FR: Une recette nécessite 2/3 tasse de sucre. Si tu triplez la recette, combien de tasses de sucre faut-il?
- Choices: A) 1 B) 2 C) 3 D) 4
- Hint: Multiply 2/3 by 3.
- Steps:
- 2/3 × 3 = 6/3.
- 6/3 = 2 cups.
- Answer: 2
[Medium] Percent Increase
- EN: Last year, 80 students joined the hockey club. This year, 96 joined. What is the percent increase?
- FR: L'an dernier, 80 élèves ont rejoint le club de hockey. Cette année, 96 l'ont rejoint. Quel est le pourcentage d'augmentation?
- Choices: A) 15% B) 18% C) 20% D) 25%
- Hint: Percent increase = (change ÷ original) × 100.
- Steps:
- Change = 96 − 80 = 16.
- (16 ÷ 80) × 100 = 20%.
- Answer: 20
[Hard] Two-Step Equation
- EN: Solve: 3x − 7 = 14
- FR: Résous: 3x − 7 = 14
- Choices: A) 5 B) 6 C) 7 D) 8
- Hint: Add 7 to both sides first, then divide.
- Steps:
- 3x = 14 + 7 = 21.
- x = 21 ÷ 3 = 7.
- Answer: 7
[Hard] Combined Integer Operations
- EN: Evaluate: (−4) × 3 + (−2) × (−5)
- FR: Évalue: (−4) × 3 + (−2) × (−5)
- Choices: A) −1 B) −2 C) 2 D) 1
- Hint: Multiply each pair first, remembering sign rules.
- Steps:
- (−4) × 3 = −12; (−2) × (−5) = +10.
- −12 + 10 = −2.
- Answer: -2
[Hard] Percent with Tax
- EN: A pair of skates costs $175. HST in Ontario is 13%. What is the total price including tax?
- FR: Une paire de patins coûte 175 $. La TVH en Ontario est de 13%. Quel est le prix total avec la taxe?
- Choices: A) $196.75 B) $197.25 C) $198.25 D) $200.00
- Hint: Multiply the price by 1.13.
- Steps:
- Tax = $175 × 0.13 = $22.75.
- Total = $175 + $22.75 = $197.75.
- Answer: 197.75
[Hard] Data Problem
- EN: Test scores: 72, 85, 91, 60, 85, 78, 85. Find the mode and median. What is the difference between mode and median?
- FR: Notes d'un test: 72, 85, 91, 60, 85, 78, 85. Trouve le mode et la médiane. Quelle est la différence entre le mode et la médiane?
- Choices: A) 0 B) 3 C) 5 D) 7
- Hint: Sort the values to find the median, then find the most common value.
- Steps:
- Sorted: 60, 72, 78, 85, 85, 85, 91; median = 85.
- Mode = 85; difference = 85 − 85 = 0.
- Answer: 0
Grade 8 Problems
[Easy] Perfect Squares
- EN: What is the square root of 144?
- FR: Quelle est la racine carrée 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] Mean/Median/Mode
- EN: Find the median of: 5, 9, 3, 7, 11.
- FR: Trouve la médiane de: 5, 9, 3, 7, 11.
- Choices: A) 5 B) 6 C) 7 D) 9
- Hint: Sort the numbers from least to greatest, then find the middle value.
- Steps:
- Sorted: 3, 5, 7, 9, 11.
- Middle value is 7.
- Answer: 7
[Easy] Two-Step Equation
- EN: Solve: 2x + 5 = 17
- FR: Résous: 2x + 5 = 17
- Choices: A) 4 B) 5 C) 6 D) 7
- Hint: First subtract 5 from both sides.
- Steps:
- 2x = 17 − 5 = 12.
- x = 12 ÷ 2 = 6.
- Answer: 6
[Easy] Percent Increase
- EN: A snowfall of 20 cm increased to 25 cm by the next morning. What is the percent increase?
- FR: Une chute de neige de 20 cm est passée à 25 cm le lendemain matin. Quel est le pourcentage d'augmentation?
- Choices: A) 20% B) 25% C) 30% D) 35%
- Hint: Percent increase = (change ÷ original) × 100.
- Steps:
- Change = 5; 5 ÷ 20 = 0.25.
- 0.25 × 100 = 25%.
- Answer: 25
[Easy] Pythagorean Theorem
- 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 cathètes 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.
- √25 = 5.
- Answer: 5
[Medium] Two-Step Equation with Fractions
- EN: Solve: x/3 + 4 = 10
- FR: Résous: x/3 + 4 = 10
- Choices: A) 12 B) 15 C) 18 D) 21
- Hint: Subtract 4 first, then multiply both sides by 3.
- Steps:
- x/3 = 10 − 4 = 6.
- x = 6 × 3 = 18.
- Answer: 18
[Medium] Pythagorean Theorem
- EN: A ramp is 13 m long. Its horizontal base is 5 m. How tall is the vertical side?
- FR: Une rampe mesure 13 m de long. Sa base horizontale est de 5 m. Quelle est la hauteur du côté vertical?
- Choices: A) 10 B) 11 C) 12 D) 13
- Hint: c² − a² = b².
- Steps:
- 13² − 5² = 169 − 25 = 144.
- √144 = 12.
- Answer: 12
[Medium] Slope Introduction
- EN: A line passes through (0, 2) and (4, 10). What is the slope of the line?
- FR: Une droite passe par (0, 2) et (4, 10). Quelle est la pente de la droite?
- Choices: A) 1 B) 2 C) 3 D) 4
- Hint: Slope = rise ÷ run = (y₂ − y₁) ÷ (x₂ − x₁).
- Steps:
- Rise = 10 − 2 = 8; run = 4 − 0 = 4.
- Slope = 8 ÷ 4 = 2.
- Answer: 2
[Medium] Percent Decrease
- EN: A coat cost $200. It is now $150. What is the percent decrease?
- FR: Un manteau coûtait 200 $. Il en coûte maintenant 150 $. Quel est le pourcentage de diminution?
- Choices: A) 20% B) 25% C) 30% D) 35%
- Hint: Percent decrease = (change ÷ original) × 100.
- Steps:
- Change = 200 − 150 = 50.
- 50 ÷ 200 × 100 = 25%.
- Answer: 25
[Medium] Square Root Estimation
- EN: Between which two integers does √50 lie?
- FR: Entre quels deux entiers se trouve √50?
- Choices: A) 6 and 7 B) 7 and 8 C) 8 and 9 D) 5 and 6
- Hint: Find the perfect squares on either side of 50.
- Steps:
- 7² = 49 and 8² = 64.
- √50 lies between 7 and 8.
- Answer: 7
[Medium] Solving Equations
- EN: Solve: 5(x − 3) = 20
- FR: Résous: 5(x − 3) = 20
- Choices: A) 5 B) 6 C) 7 D) 8
- Hint: Divide both sides by 5 first.
- Steps:
- x − 3 = 20 ÷ 5 = 4.
- x = 4 + 3 = 7.
- Answer: 7
[Hard] Pythagorean Theorem Applied
- EN: A hockey player skates from one corner of a rectangular rink that is 26 m × 10 m to the opposite corner. How far does the player skate (to the nearest whole metre)?
- FR: Un joueur de hockey patine d'un coin d'une patinoire rectangulaire de 26 m × 10 m jusqu'au coin opposé. Quelle distance parcourt-il (au mètre près)?
- Choices: A) 26 B) 27 C) 28 D) 30
- Hint: The diagonal is the hypotenuse of a right triangle.
- Steps:
- d² = 26² + 10² = 676 + 100 = 776.
- d = √776 ≈ 27.86 ≈ 28 m.
- Answer: 28
[Hard] Slope and Equation
- EN: A line has slope 3 and passes through (0, −2). What is the y-value when x = 5?
- FR: Une droite a une pente de 3 et passe par (0, −2). Quelle est la valeur de y quand x = 5?
- Choices: A) 11 B) 12 C) 13 D) 14
- Hint: Use y = mx + b form.
- Steps:
- Equation: y = 3x − 2.
- y = 3(5) − 2 = 15 − 2 = 13.
- Answer: 13
[Hard] Multi-Step Equation
- EN: Solve: 4x + 9 = 2x + 21
- FR: Résous: 4x + 9 = 2x + 21
- Choices: A) 4 B) 5 C) 6 D) 7
- Hint: Move the x terms to one side and constants to the other.
- Steps:
- 4x − 2x = 21 − 9; 2x = 12.
- x = 6.
- Answer:
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