Daily Math — 2026-07-21

[Easy] Counting Mittens

• EN: Mia has 7 mittens in a basket. She adds 3 more. How many mittens are there now?
• FR: Mia a 7 mitaines dans un panier. Elle en ajoute 3 de plus. Combien y a-t-il de mitaines maintenant?
• Choices: A) 9 mittens B) 10 mittens C) 11 mittens D) 12 mittens
• Hint: To add, count on from the bigger number — try 5 + 4: start at 5 and count up 4 more.
• Steps:
  • Start at 7.
  • Count on 3 more: 8, 9, 10.
  • So the total is 10 mittens.
• Answer: 10 mittens

[Easy] Snowball Subtraction

• EN: There are 15 snowballs on the ground. 6 melt away. How many snowballs are left?
• FR: Il y a 15 boules de neige sur le sol. 6 fondent. Combien reste-t-il de boules de neige?
• Choices: A) 8 snowballs B) 11 snowballs C) 9 snowballs D) 7 snowballs
• Hint: To subtract, count back from the bigger number — try 12 − 4: start at 12 and count back 4.
• Steps:
  • Start at 15.
  • Count back 6: 14, 13, 12, 11, 10, 9.
  • So the answer is 9 snowballs.
• Answer: 9 snowballs

[Easy] Skip Counting by 2s

• EN: Skip count by 2s. What number comes next: 2, 4, 6, 8, ___?
• FR: Compte par bonds de 2. Quel nombre vient ensuite: 2, 4, 6, 8, ___?
• Choices: A) 9 B) 11 C) 10 D) 12
• Hint: Skip counting by 2s means add 2 each time — try 10, 12, 14, and the next would be 16.
• Steps:
  • The pattern adds 2 each time.
  • 8 + 2 = 10.
  • So the next number is 10.
• Answer: 10

[Easy] Coin Recognition

• EN: Which coin is worth 10 cents in Canada?
• FR: Quelle pièce vaut 10 cents au Canada?
• Choices: A) Penny B) Loonie C) Nickel D) Dime
• Hint: Think about the three small coins: a penny is 1 cent, a nickel is 5 cents, and the last one is 10 cents.
• Steps:
  • A penny = 1 cent.
  • A nickel = 5 cents.
  • A dime = 10 cents.
  • So the answer is Dime.
• Answer: Dime

[Medium] Hockey Cards Count

• EN: Lucas has 12 hockey cards. He gives 5 to his friend. Then he finds 4 more. How many cards does he have now?
• FR: Lucas a 12 cartes de hockey. Il en donne 5 à son ami. Puis il en trouve 4 de plus. Combien de cartes a-t-il maintenant?
• Choices: A) 13 cards B) 11 cards C) 10 cards D) 9 cards
• Hint: Do two steps — try 10 − 3 = 7, then 7 + 2 = 9; do subtract first, then add.
• Steps:
  • Start with 12.
  • Subtract 5: 12 − 5 = 7.
  • Then add 4: 7 + 4 = 11.
  • So Lucas has 11 cards.
• Answer: 11 cards

[Medium] Comparing Numbers

• EN: Which number is greater: 14 or 18?
• FR: Quel nombre est plus grand: 14 ou 18?
• Choices: A) 14 B) 18 C) They are equal D) 16
• Hint: Compare the ones digits when the tens are the same — 8 ones is more than 4 ones.
• Steps:
  • Both numbers have 1 ten.
  • Compare the ones: 4 ones vs. 8 ones.
  • 8 ones is more, so 18 is greater.
• Answer: 18

[Medium] Skip Counting by 5s

• EN: Skip count by 5s. What is the missing number: 5, 10, 15, ___, 25?
• FR: Compte par bonds de 5. Quel est le nombre manquant: 5, 10, 15, ___, 25?
• Choices: A) 18 B) 22 C) 20 D) 17
• Hint: Each jump adds 5 — try starting at 20: 20, 25, 30, 35 goes up by 5 each time.
• Steps:
  • The pattern adds 5 each time.
  • 15 + 5 = 20.
  • Check: 20 + 5 = 25. ✓
  • The missing number is 20.
• Answer: 20

[Medium] Pennies and Nickels

• EN: Ava has 3 nickels and 2 pennies. How much money does she have in total?
• FR: Ava a 3 pièces de 5 cents et 2 pennies. Combien d'argent a-t-elle en tout?
• Choices: A) 14 cents B) 19 cents C) 17 cents D) 5 cents
• Hint: A nickel is worth 5 cents — try 2 nickels + 3 pennies: 10 + 3 = 13 cents.
• Steps:
  • 3 nickels = 3 × 5 = 15 cents.
  • 2 pennies = 2 × 1 = 2 cents.
  • 15 + 2 = 17 cents.
• Answer: 17 cents

[Hard] Number Sentence Mystery

• EN: What number makes this true? ___ + 6 = 13
• FR: Quel nombre complète cette égalité? ___ + 6 = 13
• Choices: A) 8 B) 6 C) 9 D) 7
• Hint: Think: what number plus 6 gives you the total — try ___ + 4 = 10: start at 10, take away 4 to get 6.
• Steps:
  • We need a number that, when added to 6, gives 13.
  • Try thinking: 13 − 6 = ?
  • 13 − 6 = 7.
  • Check: 7 + 6 = 13. ✓
• Answer: 7

[Hard] Counting to 100

• EN: What is the number that is 10 more than 87?
• FR: Quel est le nombre qui est 10 de plus que 87?
• Choices: A) 97 B) 77 C) 107 D) 98
• Hint: Adding 10 changes only the tens digit — try 10 more than 53 is 63, because the tens go up by 1.
• Steps:
  • Start at 87.
  • Adding 10 means the tens digit goes up by 1: 8 tens becomes 9 tens.
  • 87 + 10 = 97.
• Answer: 97

[Easy] Adding at the Rink

• EN: A hockey team scored 24 goals in January and 31 goals in February. How many goals did they score altogether?
• FR: Une équipe de hockey a marqué 24 buts en janvier et 31 buts en février. Combien de buts ont-ils marqués en tout?
• Choices: A) 54 goals B) 55 goals C) 57 goals D) 65 goals
• Hint: Line up the ones and tens — try 23 + 14: 3 + 4 = 7 ones, 2 + 1 = 3 tens, so 37.
• Steps:
  • Add the ones: 4 + 1 = 5.
  • Add the tens: 20 + 30 = 50.
  • 50 + 5 = 55 goals.
• Answer: 55 goals

[Easy] Telling Time

• EN: The clock shows the hour hand on 3 and the minute hand on 12. What time is it?
• FR: L'aiguille des heures est sur le 3 et l'aiguille des minutes est sur le 12. Quelle heure est-il?
• Choices: A) 12:03 B) 3:30 C) 3:00 D) 6:15
• Hint: When the minute hand points to 12, it is exactly on the hour — try the hour hand on 7: that would be 7:00.
• Steps:
  • The minute hand on 12 means it is exactly on the hour.
  • The hour hand on 3 means it is 3 o'clock.
  • The time is 3:00.
• Answer: 3:00

[Easy] Measuring Length

• EN: A pencil is 15 cm long. A pen is 18 cm long. How much longer is the pen than the pencil?
• FR: Un crayon mesure 15 cm de long. Un stylo mesure 18 cm de long. De combien le stylo est-il plus long que le crayon?
• Choices: A) 2 cm B) 4 cm C) 5 cm D) 3 cm
• Hint: To find the difference in length, subtract — try 20 cm − 17 cm = 3 cm.
• Steps:
  • Subtract the shorter from the longer: 18 − 15.
  • 18 − 15 = 3.
  • The pen is 3 cm longer.
• Answer: 3 cm

[Easy] Subtraction within 100

• EN: There are 76 students at a school. 43 go outside for recess. How many stay inside?
• FR: Il y a 76 élèves dans une école. 43 vont dehors pour la récréation. Combien restent à l'intérieur?
• Choices: A) 32 B) 33 C) 34 D) 43
• Hint: Subtract the ones then the tens — try 85 − 52: 5 − 2 = 3 ones, 8 − 5 = 3 tens, so 33.
• Steps:
  • Subtract the ones: 6 − 3 = 3.
  • Subtract the tens: 70 − 40 = 30.
  • 30 + 3 = 33 students stay inside.
• Answer: 33

[Medium] Counting Coins

• EN: Zoe has 2 dimes, 3 nickels, and 4 pennies. How much money does she have?
• FR: Zoé a 2 pièces de 10 cents, 3 pièces de 5 cents et 4 pennies. Combien d'argent a-t-elle?
• Choices: A) 39 cents B) 27 cents C) 44 cents D) 53 cents
• Hint: Find the value of each group first — try 1 dime + 2 nickels + 2 pennies: 10 + 10 + 2 = 22 cents.
• Steps:
  • 2 dimes = 20 cents.
  • 3 nickels = 15 cents.
  • 4 pennies = 4 cents.
  • 20 + 15 + 4 = 39 cents.
• Answer: 39 cents

[Medium] Half-Hour Time

• EN: School starts at 8:00. Half an hour later, the first class begins. What time does the first class start?
• FR: L'école commence à 8h00. Une demi-heure plus tard, le premier cours commence. À quelle heure le premier cours commence-t-il?
• Choices: A) 8:15 B) 9:00 C) 7:30 D) 8:30
• Hint: A half hour is 30 minutes — if it is 2:00 and you add a half hour, the time becomes 2:30.
• Steps:
  • Start at 8:00.
  • Add 30 minutes (half an hour).
  • 8:00 + 30 minutes = 8:30.
• Answer: 8:30

[Medium] Number Patterns

• EN: What is the next number in this pattern? 10, 20, 30, 40, ___
• FR: Quel est le prochain nombre dans cette suite? 10, 20, 30, 40, ___
• Choices: A) 41 B) 55 C) 45 D) 50
• Hint: Look at how much the numbers grow each time — try 15, 25, 35, and the next step is always the same size.
• Steps:
  • The pattern skips by 10 each time.
  • 40 + 10 = 50.
  • The next number is 50.
• Answer: 50

[Medium] Adding with Regrouping

• EN: A baker makes 47 muffins in the morning and 35 muffins in the afternoon. How many muffins did the baker make in all?
• FR: Un boulanger fait 47 muffins le matin et 35 muffins l'après-midi. Combien de muffins le boulanger a-t-il faits en tout?
• Choices: A) 72 muffins B) 82 muffins C) 84 muffins D) 78 muffins
• Hint: When ones add up to 10 or more, regroup — try 38 + 24: 8 + 4 = 12, write 2 carry 1, then 3 + 2 + 1 = 6, so 62.
• Steps:
  • Ones: 7 + 5 = 12. Write 2, carry 1.
  • Tens: 4 + 3 + 1 (carried) = 8.
  • The answer is 82 muffins.
• Answer: 82 muffins

[Hard] Two-Step Problem

• EN: Owen has 95 cents. He spends 2 dimes and 1 nickel. How much money does he have left?
• FR: Owen a 95 cents. Il dépense 2 pièces de 10 cents et 1 pièce de 5 cents. Combien d'argent lui reste-t-il?
• Choices: A) 80 cents B) 75 cents C) 70 cents D) 65 cents
• Hint: First find what was spent, then subtract — try spending 1 dime and 1 nickel from 50 cents: 50 − 15 = 35 cents left.
• Steps:
  • 2 dimes = 20 cents; 1 nickel = 5 cents.
  • Total spent: 20 + 5 = 25 cents.
  • 95 − 25 = 70 cents.
• Answer: 70 cents

[Hard] Measuring and Comparing

• EN: A desk is 90 cm wide. A bookshelf is 1 metre wide. How much wider is the bookshelf than the desk?
• FR: Un bureau mesure 90 cm de large. Une bibliothèque mesure 1 mètre de large. De combien la bibliothèque est-elle plus large que le bureau?
• Choices: A) 5 cm B) 15 cm C) 10 cm D) 20 cm
• Hint: Change metres to centimetres first — 1 metre = 100 centimetres; then subtract.
• Steps:
  • 1 metre = 100 cm.
  • 100 cm − 90 cm = 10 cm.
  • The bookshelf is 10 cm wider.
• Answer: 10 cm

[Easy] Multiplication by 2

• EN: There are 6 pairs of skates. How many skates are there in total?
• FR: Il y a 6 paires de patins. Combien y a-t-il de patins en tout?
• Choices: A) 8 skates B) 10 skates C) 12 skates D) 14 skates
• Hint: A pair means 2 — try 4 pairs: 4 × 2 = 8 skates.
• Steps:
  • Each pair has 2 skates.
  • 6 × 2 = 12.
  • There are 12 skates in total.
• Answer: 12 skates

[Easy] Fractions — One Half

• EN: A pizza is cut into 4 equal slices. Emma eats 2 slices. What fraction of the pizza did she eat?
• FR: Une pizza est coupée en 4 parts égales. Emma mange 2 parts. Quelle fraction de la pizza a-t-elle mangée?
• Choices: A) 1/4 B) 3/4 C) 1/3 D) 1/2
• Hint: The fraction is parts eaten over total parts — try eating 1 slice of 3: that is 1/3.
• Steps:
  • Emma ate 2 slices out of 4 total.
  • 2/4 = 1/2.
  • She ate 1/2 of the pizza.
• Answer: 1/2

[Easy] Multiplication by 5

• EN: A school store sells pencils in packs of 5. How many pencils are in 7 packs?
• FR: Une papeterie scolaire vend des crayons en paquets de 5. Combien y a-t-il de crayons dans 7 paquets?
• Choices: A) 30 pencils B) 35 pencils C) 40 pencils D) 25 pencils
• Hint: Multiply by 5 — try 6 packs: 6 × 5 = 30 pencils.
• Steps:
  • 7 × 5 = 35.
  • There are 35 pencils in 7 packs.
• Answer: 35 pencils

[Easy] Reading a Graph

• EN: A bar graph shows 8 students like hockey, 5 like soccer, and 3 like basketball. How many students were surveyed in total?
• FR: Un diagramme à bandes montre que 8 élèves aiment le hockey, 5 aiment le soccer et 3 aiment le basketball. Combien d'élèves ont été sondés au total?
• Choices: A) 14 students B) 18 students C) 16 students D) 13 students
• Hint: Add all the bars together — try 4 + 6 + 2 = 12 students in total.
• Steps:
  • Add all three groups: 8 + 5 + 3.
  • 8 + 5 = 13; 13 + 3 = 16.
  • 16 students were surveyed.
• Answer: 16 students

[Medium] Basic Division

• EN: 24 stickers are shared equally among 4 students. How many stickers does each student get?
• FR: 24 autocollants sont partagés également entre 4 élèves. Combien d'autocollants chaque élève reçoit-il?
• Choices: A) 5 stickers B) 8 stickers C) 6 stickers D) 7 stickers
• Hint: Division is sharing equally — try 15 ÷ 3: each of 3 groups gets 5.
• Steps:
  • 24 ÷ 4 = ?
  • Think: 4 × 6 = 24.
  • Each student gets 6 stickers.
• Answer: 6 stickers

[Medium] Perimeter

• EN: A rectangular garden is 8 m long and 5 m wide. What is the perimeter of the garden?
• FR: Un jardin rectangulaire mesure 8 m de long et 5 m de large. Quel est le périmètre du jardin?
• Choices: A) 26 m B) 40 m C) 13 m D) 30 m
• Hint: Perimeter is all the way around — try a rectangle that is 6 m by 4 m: 6 + 4 + 6 + 4 = 20 m.
• Steps:
  • Add all four sides: 8 + 5 + 8 + 5.
  • 8 + 8 = 16; 5 + 5 = 10.
  • 16 + 10 = 26 m.
• Answer: 26 m

[Medium] Multiplication by 3

• EN: Each Tim Hortons box holds 3 muffins. How many muffins are in 9 boxes?
• FR: Chaque boîte de Tim Hortons contient 3 muffins. Combien y a-t-il de muffins dans 9 boîtes?
• Choices: A) 24 muffins B) 30 muffins C) 27 muffins D) 21 muffins
• Hint: Multiply by 3 — try 7 boxes: 7 × 3 = 21 muffins.
• Steps:
  • 9 × 3 = 27.
  • There are 27 muffins in 9 boxes.
• Answer: 27 muffins

[Medium] Fractions — One Quarter

• EN: A ribbon is 20 cm long. It is cut into 4 equal pieces. How long is each piece?
• FR: Un ruban mesure 20 cm de long. Il est coupé en 4 morceaux égaux. Quelle est la longueur de chaque morceau?
• Choices: A) 6 cm B) 4 cm C) 5 cm D) 8 cm
• Hint: One quarter means divide by 4 — try a 12 cm ribbon cut into 4 pieces: 12 ÷ 4 = 3 cm each.
• Steps:
  • 1/4 of 20 = 20 ÷ 4.
  • 20 ÷ 4 = 5.
  • Each piece is 5 cm long.
• Answer: 5 cm

[Hard] Multiplication by 4 and 10

• EN: A class collects 4 cans of soup per student. There are 10 students. Then another group of 3 students each bring 4 cans. How many cans are there in total?
• FR: Une classe recueille 4 boîtes de soupe par élève. Il y a 10 élèves. Ensuite, un autre groupe de 3 élèves apporte chacun 4 boîtes. Combien de boîtes y a-t-il en tout?
• Choices: A) 48 cans B) 52 cans C) 44 cans D) 56 cans
• Hint: Find each group's total separately, then add — try 5 students × 4 cans = 20, then 2 students × 4 cans = 8; total = 28.
• Steps:
  • First group: 10 × 4 = 40 cans.
  • Second group: 3 × 4 = 12 cans.
  • Total: 40 + 12 = 52 cans.
• Answer: 52 cans

[Hard] Multi-Step Perimeter

• EN: A park has three sides measuring 12 m, 9 m, and 15 m. What is the perimeter of this triangular park?
• FR: Un parc a trois côtés mesurant 12 m, 9 m et 15 m. Quel est le périmètre de ce parc triangulaire?
• Choices: A) 34 m B) 38 m C) 36 m D) 32 m
• Hint: A triangle has 3 sides — add all of them; try 10 + 7 + 13 = 30 m.
• Steps:
  • Add all three sides: 12 + 9 + 15.
  • 12 + 9 = 21.
  • 21 + 15 = 36 m.
• Answer: 36 m

[Easy] Multiplication Tables

• EN: What is 7 × 8?
• FR: Combien font 7 × 8?
• Choices: A) 54 B) 56 C) 48 D) 63
• Hint: You can use 7 × 7 = 49 and add one more group of 7 to get the answer.
• Steps:
  • 7 × 8 = 7 × 7 + 7 = 49 + 7 = 56.
  • So 7 × 8 = 56.
• Answer: 56

[Easy] Decimal Place Value

• EN: What is the value of the digit 4 in the number 3.47?
• FR: Quelle est la valeur du chiffre 4 dans le nombre 3,47?
• Choices: A) 4 ones B) 4 tenths C) 4 hundredths D) 4 tens
• Hint: After the decimal point, the first place is tenths and the second is hundredths — in 2.65, the 6 is in the tenths place.
• Steps:
  • In 3.47, the digit 3 is in the ones place.
  • The digit 4 is right after the decimal: that is the tenths place.
  • So 4 represents 4 tenths.
• Answer: 4 tenths

[Easy] Comparing Fractions

• EN: Which fraction is greater: 3/4 or 2/4?
• FR: Quelle fraction est plus grande: 3/4 ou 2/4?
• Choices: A) 2/4 B) They are equal C) 3/4 D) 1/4
• Hint: When denominators are the same, the bigger numerator wins — compare 5/8 and 3/8: 5/8 is bigger.
• Steps:
  • Both fractions have the same denominator (4).
  • Compare the numerators: 3 > 2.
  • So 3/4 is greater.
• Answer: 3/4

[Easy] Area of a Rectangle

• EN: A classroom rug is 6 m long and 4 m wide. What is its area?
• FR: Un tapis de classe mesure 6 m de long et 4 m de large. Quelle est son aire?
• Choices: A) 20 m² B) 10 m² C) 24 m² D) 28 m²
• Hint: Area = length × width — try a rug that is 5 m by 3 m: area = 15 m².
• Steps:
  • Area = length × width.
  • Area = 6 × 4 = 24.
  • The area of the rug is 24 m².
• Answer: 24 m²

[Medium] Long Division with Remainders

• EN: 47 cookies are shared equally among 5 bags. How many cookies are in each bag, and how many are left over?
• FR: 47 biscuits sont répartis également dans 5 sacs. Combien y a-t-il de biscuits dans chaque sac et combien en reste-t-il?
• Choices: A) 9 remainder 3 B) 8 remainder 7 C) 10 remainder 2 D) 9 remainder 2
• Hint: Divide and find the remainder — try 23 ÷ 4: 4 × 5 = 20, remainder 3, so 5 remainder 3.
• Steps:
  • 5 × 9 = 45, which is less than 47.
  • 47 − 45 = 2 remaining.
  • So 9 remainder 2.
• Answer: 9 remainder 2

[Medium] Elapsed Time

• EN: A hockey game starts at 6:15 PM and ends at 8:45 PM. How long did the game last?
• FR: Un match de hockey commence à 18h15 et se termine à 20h45. Combien de temps le match a-t-il duré?
• Choices: A) 2 hours 15 minutes B) 2 hours 45 minutes C) 3 hours D) 2 hours 30 minutes
• Hint: Count the hours first, then the minutes — try from 1:10 PM to 3:40 PM: 2 hours + 30 minutes = 2 hours 30 minutes.
• Steps:
  • From 6:15 to 8:15 is 2 hours.
  • From 8:15 to 8:45 is 30 more minutes.
  • Total: 2 hours 30 minutes.
• Answer: 2 hours 30 minutes

[Medium] Multi-Digit Multiplication

• EN: A school orders 23 boxes of crayons. Each box has 8 crayons. How many crayons are there in total?
• FR: Une école commande 23 boîtes de crayons de couleur. Chaque boîte contient 8 crayons. Combien y a-t-il de crayons en tout?
• Choices: A) 164 crayons B) 184 crayons C) 176 crayons D) 192 crayons
• Hint: Multiply the ones then the tens — try 12 × 8: 2 × 8 = 16, 1 × 8 = 8, so 96.
• Steps:
  • 23 × 8: multiply ones first: 3 × 8 = 24, write 4 carry 2.
  • Multiply tens: 2 × 8 = 16, plus 2 carried = 18.
  • Result: 184 crayons.
• Answer: 184 crayons

[Medium] Decimal Operations

• EN: Maya buys a notebook for $3.25 and a pen for $1.50. How much does she spend in total?
• FR: Maya achète un cahier pour 3,25 $ et un stylo pour 1,50 $. Combien dépense-t-elle en tout?
• Choices: A) $4.25 B) $5.75 C) $4.75 D) $5.25
• Hint: Line up the decimal points and add — try $2.40 + $1.30 = $3.70.
• Steps:
  • $3.25 + $1.50.
  • Cents: 25 + 50 = 75 cents.
  • Dollars: 3 + 1 = 4 dollars.
  • Total: $4.75.
• Answer: $4.75

[Hard] Two-Step Word Problem

• EN: A farmer has 8 rows of maple trees with 9 trees in each row. He cuts down 14 trees. How many maple trees remain?
• FR: Un fermier a 8 rangées d'érables avec 9 arbres dans chaque rangée. Il en coupe 14. Combien d'érables reste-t-il?
• Choices: A) 57 trees B) 63 trees C) 58 trees D) 72 trees
• Hint: First find the total, then subtract — try 6 rows × 7 trees = 42, then subtract 10: 42 − 10 = 32 trees.
• Steps:
  • Total trees: 8 × 9 = 72.
  • After cutting: 72 − 14 = 58.
  • 58 maple trees remain.
• Answer: 58 trees

[Hard] Fractions and Area

• EN: A rectangular field is 12 m long and 8 m wide. A pond covers 1/4 of the field. What is the area of the pond?
• FR: Un champ rectangulaire mesure 12 m de long et 8 m de large. Un étang couvre 1/4 du champ. Quelle est l'aire de l'étang?
• Choices: A) 24 m² B) 32 m² C) 20 m² D) 48 m²
• Hint: Find the total area first, then take one quarter — try a 20 m² field: 1/4 of 20 = 5 m².
• Steps:
  • Total area: 12 × 8 = 96 m².
  • 1/4 of 96 = 96 ÷ 4 = 24.
  • The pond has an area of 24 m².
• Answer: 24 m²

[Easy] Multi-Digit Multiplication

• EN: A school sells 125 raffle tickets at $4 each. How much money is collected in total?
• FR: Une école vend 125 billets de tombola à 4 $ chacun. Combien d'argent est recueilli en tout?
• Choices: A) $480 B) $500 C) $520 D) $450
• Hint: Multiply hundreds, tens, and ones separately — try 115 × 4: 100 × 4 = 400, 10 × 4 = 40, 5 × 4 = 20; total 460.
• Steps:
  • 125 × 4.
  • 100 × 4 = 400; 20 × 4 = 80; 5 × 4 = 20.
  • 400 + 80 + 20 = $500.
• Answer: $500

[Easy] Adding Fractions with Like Denominators

• EN: Noah eats 2/8 of a granola bar and then 3/8 more. What fraction of the bar has he eaten?
• FR: Noah mange 2/8 d'une barre de céréales, puis 3/8 de plus. Quelle fraction de la barre a-t-il mangée?
• Choices: A) 5/16 B) 6/8 C) 5/8 D) 4/8
• Hint: When denominators match, just add the numerators — try 1/6 + 3/6 = 4/6.
• Steps:
  • 2/8 + 3/8: keep the denominator, add the numerators.
  • 2 + 3 = 5.
  • The answer is 5/8.
• Answer: 5/8

[Easy] Percentage Introduction — 50%

• EN: A bag of marbles contains 60 marbles. 50% are blue. How many marbles are blue?
• FR: Un sac de billes contient 60 billes. 50% sont bleues. Combien de billes sont bleues?
• Choices: A) 25 marbles B) 35 marbles C) 30 marbles D) 20 marbles
• Hint: 50% means half — try 50% of 80: divide by 2 to get 40.
• Steps:
  • 50% = one half.
  • 60 ÷ 2 = 30.
  • There are 30 blue marbles.
• Answer: 30 marbles

[Easy] Decimal Operations

• EN: A loonie is worth $1.00. A dime is worth $0.10. What is the total value of 3 loonies and 5 dimes?
• FR: Un huard vaut 1,00 $. Une pièce de 10 cents vaut 0,10 $. Quelle est la valeur totale de 3 huards et 5 pièces de 10 cents?
• Choices: A) $3.15 B) $3.05 C) $3.50 D) $4.00
• Hint: Multiply each coin type by its value, then add — try 2 loonies and 3 dimes: 2.00 + 0.30 = $2.30.
• Steps:
  • 3 × $1.00 = $3.00.
  • 5 × $0.10 = $0.50.
  • $3.00 + $0.50 = $3.50.
• Answer: $3.50

[Medium] Volume of a Rectangular Prism

• EN: A box is 5 cm long, 4 cm wide, and 3 cm tall. What is its volume?
• FR: Une boîte mesure 5 cm de long, 4 cm de large et 3 cm de haut. Quel est son volume?
• Choices: A) 50 cm³ B) 47 cm³ C) 60 cm³ D) 80 cm³
• Hint: Volume = length × width × height — try a box that is 2 × 3 × 4 = 24 cm³.
• Steps:
  • Volume = 5 × 4 × 3.
  • 5 × 4 = 20; 20 × 3 = 60.
  • The volume is 60 cm³.
• Answer: 60 cm³

[Medium] Subtracting Fractions

• EN: A bottle holds 7/9 L of juice. After breakfast, 2/9 L is gone. How much juice is left?
• FR: Une bouteille contient 7/9 L de jus. Après le petit-déjeuner, 2/9 L est parti. Combien de jus reste-t-il?
• Choices: A) 4/9 L B) 9/9 L C) 5/9 L D) 6/9 L
• Hint: Subtract numerators when denominators match — try 5/7 − 2/7 = 3/7.
• Steps:
  • 7/9 − 2/9: keep the denominator.
  • 7 − 2 = 5.
  • There is 5/9 L of juice left.
• Answer: 5/9 L

[Medium] 25% of a Number

• EN: A hockey jersey costs $80. It is on sale for 25% off. How much is the discount?
• FR: Un chandail de hockey coûte 80 $. Il est en solde avec 25% de réduction. Quel est le montant de la réduction?
• Choices: A) $25 B) $40 C) $20 D) $15
• Hint: 25% = one quarter; divide the total by 4 — try 25% of $60: 60 ÷ 4 = $15.
• Steps:
  • 25% of $80 = $80 ÷ 4.
  • 80 ÷ 4 = 20.
  • The discount is $20.
• Answer: $20

[Medium] Long Division

• EN: 756 students are divided equally into 9 classes. How many students are in each class?
• FR: 756 élèves sont répartis également en 9 classes. Combien y a-t-il d'élèves dans chaque classe?
• Choices: A) 82 students B) 84 students C) 78 students D) 86 students
• Hint: Divide step by step — try 648 ÷ 9: 9 × 7 = 63, so first digit is 7; 9 × 2 = 18, so 72.
• Steps:
  • 756 ÷ 9.
  • 9 × 8 = 72; so the first digit is 8 (from 72 into 75 → no). Let us use long division:
  • 9 into 75 = 8 (8 × 9 = 72), remainder 3; bring down 6 → 36; 9 into 36 = 4.
  • Answer: 84 students
• Answer: 84 students

[Hard] Multi-Step Percentage

• EN: A sweater costs $120. It is first discounted by 25%, and then an additional 10% is taken off the sale price. What is the final price?
• FR: Un chandail coûte 120 $. On lui applique d'abord une réduction de 25%, puis une réduction supplémentaire de 10% sur le prix soldé. Quel est le prix final?
• Choices: A) $78 B) $81 C) $84 D) $76
• Hint: Apply each discount one step at a time — try $100 with 25% off = $75, then 10% off $75 = $7.50 off, leaving $67.50.
• Steps:
  • First discount: 25% of $120 = $30; sale price = $120 − $30 = $90.
  • Second discount: 10% of $90 = $9; final price = $90 − $9 = $81.
  • The final price is $81.
• Answer: $81

[Hard] Volume and Fractions Combined

• EN: A rectangular fish tank is 10 cm long, 6 cm wide, and 8 cm tall. It is filled to only 3/4 of its height with water. What volume of water is in the tank?
• FR: Un aquarium rectangulaire mesure 10 cm de long, 6 cm de large et 8 cm de haut. Il est rempli d'eau seulement jusqu'aux 3/4 de sa hauteur. Quel est le volume d'eau dans l'aquarium?
• Choices: A) 360 cm³ B) 480 cm³ C) 320 cm³ D) 420 cm³
• Hint: Find full volume first, then multiply by 3/4 — try a tank of 200 cm³ filled 3/4 full: 200 × 3/4 = 150 cm³.
• Steps:
  • Full volume: 10 × 6 × 8 = 480 cm³.
  • 3/4 of 480 = 480 × 3 ÷ 4 = 1440 ÷ 4 = 360.
  • The water volume is 360 cm³.
• Answer: 360 cm³

[Easy] Percent of a Number

• EN: A school store has 200 notebooks. 30% of them are red. How many red notebooks are there?
• FR: La papeterie d'une école a 200 cahiers. 30% d'entre eux sont rouges. Combien y a-t-il de cahiers rouges?
• Choices: A) 50 notebooks B) 70 notebooks C) 60 notebooks D) 45 notebooks
• Hint: Find 10% first, then multiply — try 30% of 150: 10% of 150 = 15, so 30% = 45.
• Steps:
  • 10% of 200 = 20.
  • 30% = 3 × 20 = 60.
  • There are 60 red notebooks.
• Answer: 60 notebooks

[Easy] Order of Operations (BEDMAS)

• EN: Solve: 3 + 4 × 2
• FR: Résoudre: 3 + 4 × 2
• Choices: A) 14 B) 10 C) 11 D) 9
• Hint: BEDMAS says multiply before adding — try 5 + 3 × 2: do 3 × 2 = 6 first, then 5 + 6 = 11.
• Steps:
  • Multiplication first: 4 × 2 = 8.
  • Then add: 3 + 8 = 11.
  • The answer is 11.
• Answer: 11

[Easy] Ratios

• EN: In a bag of candies, there are 3 red and 7 blue candies. What is the ratio of red to blue candies?
• FR: Dans un sac de bonbons, il y a 3 bonbons rouges et 7 bleus. Quel est le rapport entre les bonbons rouges et les bonbons bleus?
• Choices: A) 7:3 B) 3:10 C) 3:7 D) 10:3
• Hint: A ratio lists the first quantity to the second — if there are 4 apples and 6 oranges, the ratio is 4:6.
• Steps:
  • Red : Blue = 3 : 7.
  • The ratio of red to blue is 3:7.
• Answer: 3:7

[Easy] Integers Introduction

• EN: The temperature in Winnipeg is −8°C in the morning and rises by 5°C by noon. What is the temperature at noon?
• FR: La température à Winnipeg est de −8°C le matin et monte de 5°C à midi. Quelle est la température à midi?
• Choices: A) −4°C B) −2°C C) −3°C D) 3°C
• Hint: Adding a positive to a negative moves right on the number line — try −6 + 4 = −2.
• Steps:
  • Start at −8.
  • Add 5: −8 + 5 = −3.
  • The temperature at noon is −3°C.
• Answer: −3°C

[Medium] Fraction Multiplication

• EN: A recipe needs 3/4 of a cup of oats. If you make 2 batches, how many cups of oats do you need?
• FR: Une recette nécessite 3/4 de tasse de flocons d'avoine. Si tu fais 2 recettes, combien de tasses de flocons d'avoine te faut-il?
• Choices: A) 3/8 B) 6/4 C) 3/2 D) 5/4
• Hint: Multiply the fraction by the whole number — try 2/3 × 3 = 6/3 = 2.
• Steps:
  • 3/4 × 2 = 6/4.
  • 6/4 = 3/2 or 1 1/2 cups.
  • Both 6/4 and 3/2 are equal; since 3/2 is an answer choice, that is correct.
• Answer: 3/2

[Medium] Rates

• EN: A car travels 240 km in 3 hours. What is its speed in km/h?
• FR: Une voiture parcourt 240 km en 3 heures. Quelle est sa vitesse en km/h?
• Choices: A) 70 km/h B) 90 km/h C) 80 km/h D) 75 km/h
• Hint: Rate = total ÷ time — try 150 km in 3 hours: 150 ÷ 3 = 50 km/h.
• Steps:
  • Speed = distance ÷ time.
  • 240 ÷ 3 = 80.
  • The speed is 80 km/h.
• Answer: 80 km/h

[Medium] Simple Algebraic Expressions

• EN: What is the value of 5n − 3 when n = 4?
• FR: Quelle est la valeur de 5n − 3 lorsque n = 4?
• Choices: A) 19 B) 23 C) 17 D) 27
• Hint: Replace the variable with the given number — try 3n + 2 when n = 5: 3 × 5 + 2 = 17.
• Steps:
  • Replace n with 4: 5(4) − 3.
  • 5 × 4 = 20.
  • 20 − 3 = 17.
• Answer: 17

[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) 5 servings B) 8 servings C) 6 servings D) 4 servings
• Hint: Dividing by a fraction means multiplying by its reciprocal — try 3 ÷ 1/2 = 3 × 2 = 6.
• Steps:
  • 2 ÷ 1/3 = 2 × 3 = 6.
  • There are 6 servings.
• Answer: 6 servings

[Hard] Multi-Step BEDMAS

• EN: Evaluate: (18 − 6) ÷ 3 + 2² × 5
• FR: Évalue: (18 − 6) ÷ 3 + 2² × 5
• Choices: A) 22 B) 24 C) 28 D) 30
• Hint: Follow BEDMAS: brackets, exponents, division/multiplication (left to right), then addition/subtraction — try (10 − 4) ÷ 2 + 3² × 1 = 6 ÷ 2 + 9 = 3 + 9 = 12.
• Steps:
  • Brackets: (18 − 6) = 12.
  • Exponent: 2² = 4.
  • Division: 12 ÷ 3 = 4. Multiplication: 4 × 5 = 20.
  • Addition: 4 + 20 = 24.
• Answer: 24

[Hard] Ratio and Percent Combined

• EN: In a class of 30 students, the ratio of boys to girls is 2:3. What percentage of the class are girls?
• FR: Dans une classe de 30 élèves, le rapport garçons/filles est de 2:3. Quel pourcentage de la classe sont des filles?
• Choices: A) 40% B) 50% C) 55% D) 60%
• Hint: Use the ratio to find the number in each group, then divide — try a ratio of 1:4 in a class of 20: girls = 16, so 16/20 = 80%.
• Steps:
  • Total parts: 2 + 3 = 5. Each part = 30 ÷ 5 = 6 students.
  • Girls: 3 × 6 = 18.
  • 18/30 × 100% = 60%.
• Answer: 60%

[Easy] Integer Addition

• EN: What is (−9) + 14?
• FR: Combien font (−9) + 14?
• Choices: A) 6 B) 4 C) 5 D) 23
• Hint: When adding a positive to a negative, subtract the smaller absolute value from the larger — try (−4) + 9: 9 − 4 = 5, positive wins.
• Steps:
  • The positive number (14) is larger in absolute value.
  • 14 − 9 = 5.
  • The answer is 5.
• Answer: 5

[Easy] Percent Discount

• EN: A pair of snow boots costs $60. They are 20% off. What is the sale price?
• FR: Une paire de bottes de neige coûte 60 $. Elles sont réduites de 20%. Quel est le prix soldé?
• Choices: A) $48 B) $42 C) $54 D) $40
• Hint: Find the discount amount first, then subtract — try 20% off $50: 0.20 × 50 = $10 off, so $40.
• Steps:
  • 20% of $60 = 0.20 × 60 = $12.
  • Sale price: $60 − $12 = $48.
• Answer: $48

[Easy] Integer Subtraction

• EN: What is 3 − (−5)?
• FR: Combien font 3 − (−5)?
• Choices: A) 2 B) −2 C) 8 D) 15
• Hint: Subtracting a negative is the same as adding the positive — try 7 − (−3) = 7 + 3 = 10.
• Steps:
  • 3 − (−5) = 3 + 5.
  • 3 + 5 = 8.
• Answer: 8

[Easy] Fraction Fluency

• EN: What is 2/3 + 1/6?
• FR: Combien font 2/3 + 1/6?
• Choices: A) 3/9 B) 5/6 C) 4/6 D) 7/9
• Hint: Find a common denominator — try 1/2 + 1/4: common denominator is 4, so 2/4 + 1/4 = 3/4.
• Steps:
  • Convert 2/3 to sixths: 2/3 = 4/6.
  • 4/6 + 1/6 = 5/6.
• Answer: 5/6

[Medium] One-Step Linear Equation

• EN: Solve for x: x − 7 = 15
• FR: Résous pour x: x − 7 = 15
• Choices: A) x = 8 B) x = 21 C) x = 22 D) x = 23
• Hint: Add the same number to both sides to isolate x — try y − 4 = 10: add 4 to both sides to get y = 14.
• Steps:
  • Add 7 to both sides: x − 7 + 7 = 15 + 7.
  • x = 22.
• Answer: x = 22

[Medium] Surface Area of a Rectangular Prism

• EN: A gift box is 10 cm long, 5 cm wide, and 4 cm tall. What is its surface area?
• FR: Une boîte cadeau mesure 10 cm de long, 5 cm de large et 4 cm de haut. Quelle est son aire totale?
• Choices: A) 200 cm² B) 220 cm² C) 240 cm² D) 180 cm²
• Hint: Surface area has 3 pairs of faces — try a box that is 3 × 2 × 1: SA = 2(3×2) + 2(3×1) + 2(2×1) = 12 + 6 + 4 = 22 cm².
• Steps:
  • Front/back: 2 × (10 × 4) = 80.
  • Left/right: 2 × (5 × 4) = 40.
  • Top/bottom: 2 × (10 × 5) = 100.
  • Total: 80 + 40 + 100 = 220 cm².
• Answer: 220 cm²

[Medium] Tip Calculation

• EN: A family eats at a restaurant. The bill is $75. They want to leave a 15% tip. How much is the tip?
• FR: Une famille mange au restaurant. La facture est de 75 $. Ils veulent laisser un pourboire de 15%. Quel est le montant du pourboire?
• Choices: A) $10.50 B) $15.00 C) $11.25 D) $12.75
• Hint: Find 10% then add half of that for 15% — try 15% of $60: 10% = $6, half of $6 = $3, total tip = $9.
• Steps:
  • 10% of $75 = $7.50.
  • 5% of $75 = $3.75.
  • 15% = $7.50 + $3.75 = $11.25.
• Answer: $11.25

[Medium] Probability

• EN: A bag has 4 red marbles, 3 blue marbles, and 3 green marbles. What is the probability of picking a blue marble?
• FR: Un sac contient 4 billes rouges, 3 billes bleues et 3 billes vertes. Quelle est la probabilité de tirer une bille bleue?
• Choices: A) 3/10 B) 4/10 C) 1/3 D) 7/10
• Hint: Probability = favourable outcomes ÷ total outcomes — try 2 red in 8 total: probability = 2/8 = 1/4.
• Steps:
  • Total marbles: 4 + 3 + 3 = 10.
  • Blue marbles: 3.
  • Probability = 3/10.
• Answer: 3/10

[Hard] Integer Operations Multi-Step

• EN: The temperature in Whitehorse starts at −14°C. It rises 9°C, then drops 16°C, and rises again by 4°C. What is the final temperature?
• FR: La température à Whitehorse commence à −14°C. Elle monte de 9°C, descend de 16°C, puis remonte de 4°C. Quelle est la température finale?
• Choices: A) −19°C B) −17°C C) −16°C D) −15°C
• Hint: Apply each change in order — try starting at −5, add 3, subtract 8, add 2: −5 + 3 − 8 + 2 = −8.
• Steps:
  • Start: −14.
  • • 9: −14 + 9 = −5.
  • − 16: −5 − 16 = −21.
  • • 4: −21 + 4 = −17.

• Answer: −17°C

[Hard] Percent Increase

• EN: A hockey player scored 40 goals last season. This season he scored 52 goals. What is the percent increase in goals?
• FR: Un joueur de hockey a marqué 40 buts la saison dernière. Cette saison, il en a marqué 52. Quel est le pourcentage d'augmentation des buts?
• Choices: A) 25% B) 35% C) 30% D) 20%
• Hint: Percent increase = (increase ÷ original) × 100 — try going from 20 to 25: increase = 5, 5/20 × 100 = 25%.
• Steps:
  • Increase: 52 − 40 = 12.
  • Percent increase: (12 ÷ 40) × 100 = 0.30 × 100 = 30%.
• Answer: 30%

[Easy] Perfect Squares

• EN: What is √144?
• FR: Combien fait √144?
• Choices: A) 11 B) 14 C) 12 D) 13
• Hint: Think of a number times itself that equals the number under the root — try √81: 9 × 9 = 81, so √81 = 9.
• Steps:
  • 12 × 12 = 144.
  • So √144 = 12.
• Answer: 12

[Easy] Mean of a Data Set

• EN: Five students scored 70, 80, 90, 60, and 75 on a math quiz. What is the mean score?
• FR: Cinq élèves ont obtenu 70, 80, 90, 60 et 75 à un test de mathématiques. Quelle est la note moyenne?
• Choices: A) 74 B) 80 C) 75 D) 72
• Hint: Mean = sum of all values ÷ number of values — try scores of 10, 20, 30: sum = 60, 60 ÷ 3 = 20.
• Steps:
  • Sum: 70 + 80 + 90 + 60 + 75 = 375.
  • Mean: 375 ÷ 5 = 75.
• Answer: 75

[Easy] Two-Step Linear Equation — Simple

• EN: Solve: 2x + 3 = 11
• FR: Résous: 2x + 3 = 11
• Choices: A) x = 5 B) x = 7 C) x = 4 D) x = 3
• Hint: Subtract the constant first, then divide — try 3y + 2 = 14: subtract 2 to get 3y = 12, divide by 3 to get y = 4.
• Steps:
  • Subtract 3 from both sides: 2x = 8.
  • Divide by 2: x = 4.
• Answer: x = 4

[Easy] Percent Increase/Decrease

• EN: A sweater was $50. Its price increased by 10%. What is the new price?
• FR: Un chandail coûtait 50 $. Son prix a augmenté de 10%. Quel est le nouveau prix?
• Choices: A) $55 B) $45 C) $60 D) $65
• Hint: Find 10% and add it to the original — try 10% of $80 = $8, new price = $88.
• Steps:
  • 10% of $50 = $5.
  • New price: $50 + $5 = $55.
• Answer: $55

[Medium] Pythagorean Theorem

• EN: A right triangle has legs of 6 cm and 8 cm. What is the length of the hypotenuse?
• FR: Un triangle rectangle a des cathètes de 6 cm et 8 cm. Quelle est la longueur de l'hypoténuse?
• Choices: A) 14 cm B) 11 cm C) 10 cm D) 12 cm
• Hint: Use a² + b² = c² — try legs of 3 and 4: 9 + 16 = 25, √25 = 5, hypotenuse is 5.
• Steps:
  • a² + b² = c²: 6² + 8² = 36 + 64 = 100.
  • c = √100 = 10.
  • The hypotenuse is 10 cm.
• Answer: 10 cm

[Medium] Two-Step Equation — Harder

• EN: Solve: 3x − 7 = 14
• FR: Résous: 3x − 7 = 14
• Choices: A) x = 6 B) x = 8 C) x = 9 D) x = 7
• Hint: Add to both sides first, then divide — try 4x − 3 = 13: add 3 → 4x = 16, divide → x = 4.
• Steps:
  • Add 7 to both sides: 3x = 21.
  • Divide by 3: x = 7.
• Answer: x = 7

[Medium] Slope Introduction

• EN: A line passes through the points (0, 2) and (3, 8). What is the slope of the line?
• FR: Une droite passe par les points (0, 2) et (3, 8). Quelle est la pente de la droite?
• Choices: A) 3 B) 4 C) 2 D) 6
• Hint: Slope = rise ÷ run = (y₂ − y₁) ÷ (x₂ − x₁) — try (0,1) to (2,5): (5−1) ÷ (2−0) = 4 ÷ 2 = 2.
• Steps:
  • Rise: 8 − 2 = 6.
  • Run: 3 − 0 = 3.
  • Slope = 6 ÷ 3 = 2.
• Answer: 2

[Medium] Median and Mode

• EN: The snowfall (cm) for a week was: 3, 7, 5, 7, 9, 2, 7. What is the mode?
• FR: Les chutes de neige (cm) pour une semaine étaient: 3, 7, 5, 7, 9, 2, 7. Quel est le mode?
• Choices: A) 5 B) 9 C) 3 D) 7
• Hint: The mode is the value that appears most often — in 4, 6, 4, 8, 4, the mode is 4 because it appears three times.
• Steps:
  • Count how many times each number appears.
  • 7 appears three times; all others appear once.
  • The mode is 7.
• Answer: 7

[Hard] Pythagorean Theorem — Applied

• EN: A ladder is leaning against a wall. The base of the ladder is 5 m from the wall, and the wall is 12 m tall. How long is the ladder?
• FR: Une échelle s'appuie contre un mur. La base de l'échelle est à 5 m du mur et le mur mesure 12 m de haut. Quelle est la longueur de l'échelle?
• Choices: A) 15 m B) 17 m C) 13 m D) 11 m
• Hint: The ladder is the hypotenuse — use a² + b² = c²; try base = 8, height = 6: 36 + 64 = 100, so 10 m.
• Steps:
  • a² + b² = c²: 5² + 12² = 25 + 144 = 169.
  • c = √169 = 13.
  • The ladder is 13 m long.
• Answer: 13 m

[Hard] Multi-Step Equations

• EN: Solve: 4(x + 2) = 36
• FR: Résous: 4(x + 2) = 36
• Choices: A) x = 8 B) x = 6 C) x = 10 D) x = 7
• Hint: You can distribute first or divide both sides by 4 first — try 3(y + 1) = 18: divide by 3 to get y + 1 = 6, then y = 5.
• Steps:
  • Divide both sides by 4: x + 2 = 9.
  • Subtract 2: x = 7.
• Answer: x = 7

[Easy] Solving a Linear Equation

• EN: Solve: 5x − 4 = 21
• FR: Résous: 5x − 4 = 21
• Choices: A) x = 4 B) x = 6 C) x = 5 D) x = 3
• Hint: Add to both sides, then divide — try 3x − 2 = 10: add 2 → 3x = 12, divide by 3 → x = 4.
• Steps:
  • Add 4 to both sides: 5x = 25.
  • Divide by 5: x = 5.
• Answer: x = 5

[Easy] Slope-Intercept Form

• EN: A line has the equation y = 3x + 2. What is the slope?
• FR: Une droite a l'équation y = 3x + 2. Quelle est la pente?
• Choices: A) 2 B) 5 C) 3 D) 6
• Hint: In y = mx + b, m is always the slope — in y = 7x − 1, the slope is 7.
• Steps:
  • y = 3x + 2 is in the form y = mx + b.
  • m = 3.
  • The slope is 3.
• Answer: 3

[Easy] Adding Polynomials

• EN: Simplify: (3x + 5) + (2x − 1)
• FR: Simplifie: (3x + 5) + (2x − 1)
• Choices: A) 5x + 6 B) 6x + 4 C) 5x + 4 D) 4x + 6
• Hint: Combine like terms — try (4y + 3) + (y − 2): 4y + y = 5y and 3 − 2 = 1, so 5y + 1.
• Steps:
  • Combine x-terms: 3x + 2x = 5x.
  • Combine constants: 5 + (−1) = 4.
  • Result: 5x + 4.
• Answer: 5x + 4

[Easy] Linear Inequality

• EN: Solve: x + 6 > 10
• FR: Résous: x + 6 > 10
• Choices: A) x > 16 B) x > 4 C) x < 4 D) x > 6
• Hint: Treat it like an equation, but keep the inequality sign — try y + 3 > 8: subtract 3 from both sides to get y > 5.
• Steps:
  • Subtract 6 from both sides: x > 10 − 6.
  • x > 4.
• Answer: x > 4

[Medium] Multiplying Polynomials

• EN: Expand: (x + 3)(x + 4)
• FR: Développe: (x + 3)(x + 4)
• Choices: A) x² + 7x + 12 B) x² + 12x + 7 C) x² + 8x + 12 D) x² + 7x + 7
• Hint: Use FOIL — try (x + 1)(x + 5): x² + 5x + x + 5 = x² + 6x + 5.
• Steps:
  • First: x × x = x².
  • Outer: x × 4 = 4x. Inner: 3 × x = 3x. Last: 3 × 4 = 12.
  • Combine: x² + 7x + 12.
• Answer: x² + 7x + 12

[Medium] Similar Triangles

• EN: Two triangles are similar. The smaller triangle has sides 3 cm, 4 cm, and 5 cm. The largest side of the bigger triangle is 15 cm. What is the scale factor?
• FR: Deux triangles sont semblables. Le plus petit a des côtés de 3 cm, 4 cm et 5 cm. Le plus grand côté du plus grand triangle est 15 cm. Quel est le facteur d'échelle?
• Choices: A) 4 B) 2 C) 5 D) 3
• Hint: Scale factor = bigger side ÷ corresponding smaller side — try smaller side 4 cm and bigger side 12 cm: 12 ÷ 4 = 3.
• Steps:
  • The largest side of the small triangle is 5 cm.
  • Scale factor = 15 ÷ 5 = 3.
• Answer: 3

[Medium] Trigonometry — SOH

• EN: In a right triangle, the opposite side is 7 cm and the hypotenuse is 25 cm. What is sin(θ)?
• FR: Dans un triangle rectangle, le côté opposé mesure 7 cm et l'hypoténuse mesure 25 cm. Combien fait sin(θ)?
• Choices: A) 7/24 B) 25/7 C) 24/25 D) 7/25
• Hint: SOH means sin = Opposite ÷ Hypotenuse — try opposite = 4, hypotenuse = 10: sin = 4/10 = 2/5.
• Steps:
  • sin(θ) = Opposite ÷ Hypotenuse.
  • sin(θ) = 7/25.
• Answer: 7/25

[Medium] Graphing — y-intercept

• EN: A line has the equation y = −2x + 6. Where does it cross the y-axis?
• FR: Une droite a l'équation y = −2x + 6. Où croise-t-elle l'axe des y?
• Choices: A) (0, −2) B) (6, 0) C) (0, 6) D) (3, 0)
• Hint: The y-intercept is the value of b in y = mx + b — in y = 4x + 9, the y-intercept is (0, 9).
• Steps:
  • In y = −2x + 6, b = 6.
  • The y-intercept is at (0, 6).
• Answer: (0, 6)

[Hard] System of Linear Equations

• EN: Solve the system: y = 2x + 1 and y = −x + 7
• FR: Résous le système: y = 2x + 1 et y = −x + 7
• Choices: A) x = 3, y = 4 B) x = 2, y = 5 C) x = 4, y = 9 D) x = 3, y = 6
• Hint: Set the two expressions equal to each other and solve for x — try y = x + 3 and y = −2x + 9: x + 3 = −2x + 9 → 3x = 6 → x = 2.
• Steps:
  • Set equal: 2x + 1 = −x + 7.
  • 3x = 6; x = 2.
  • y = 2(2) + 1 = 5.
  • So x = 2, y = 5.
• Answer: x = 2, y = 5

[Hard] Trigonometry — Finding a Side

• EN: In a right triangle, one angle is 30° and the hypotenuse is 20 cm. What is the length of the side opposite the 30° angle?
• FR: Dans un triangle rectangle, un angle est de 30° et l'hypoténuse mesure 20 cm. Quelle est la longueur du côté opposé à l'angle de 30°?
• Choices: A) 17.3 cm B) 14 cm C) 10 cm D) 12 cm
• Hint: Use SOH: sin(θ) = opposite/hypotenuse, so opposite = hypotenuse × sin(θ) — try sin(45°) = 0.707, so opposite = 10 × 0.707 = 7.07 cm.
• Steps:
  • sin(30°) = 0.5.
  • opposite = hypotenuse × sin(30°) = 20 × 0.5 = 10.
  • The opposite side is 10 cm.
• Answer: 10 cm

[Easy] Factoring a Quadratic

• EN: Factor: x² + 5x + 6
• FR: Factorise: x² + 5x + 6
• Choices: A) (x + 1)(x + 6) B) (x + 2)(x + 3) C) (x + 4)(x + 2) D) (x + 3)(x + 4)
• Hint: Find two numbers that multiply to 6 and add to 5 — try x² + 7x + 12: 3 × 4 = 12 and 3 + 4 = 7, so (x + 3)(x + 4).
• Steps:
  • We need two numbers: product = 6 and sum = 5.
  • 2 × 3 = 6 and 2 + 3 = 5. ✓
  • So x² + 5x + 6 = (x + 2)(x + 3).
• Answer: (x + 2)(x + 3)

[Easy] Trigonometric Ratio — CAH

• EN: In a right triangle, the adjacent side is 12 cm and the hypotenuse is 13 cm. What is cos(θ)?
• FR: Dans un triangle rectangle, le côté adjacent mesure 12 cm et l'hypoténuse mesure 13 cm. Combien fait cos(θ)?
• Choices: A) 13/12 B) 5/13 C) 12/13 D) 12/5
• Hint: CAH means cos = Adjacent ÷ Hypotenuse — try adjacent = 8, hypotenuse = 10: cos = 8/10 = 4/5.
• Steps:
  • cos(θ) = Adjacent ÷ Hypotenuse.
  • cos(θ) = 12/13.
• Answer: 12/13

[Easy] Solving a Quadratic by Factoring

• EN: Solve: x² − 9 = 0
• FR: Résous: x² − 9 = 0
• Choices: A) x = 9 or x = −9 B) x = 3 or x = −3 C) x = 4 or x = −4 D) x = 81
• Hint: This is a difference of squares — try x² − 25 = 0: (x − 5)(x + 5) = 0, so x = 5 or x = −5.
• Steps:
  • x² − 9 = (x − 3)(x + 3) = 0.
  • x − 3 = 0 → x = 3; x + 3 = 0 → x = −3.
• Answer: x = 3 or x = −3

[Easy] System of Equations

• EN: Solve the system: x + y = 10 and x − y = 2
• FR: Résous le système: x + y = 10 et x − y = 2
• Choices: A) x = 7, y = 3 B) x = 5, y = 5 C) x = 8, y = 2 D) x = 6, y = 4
• Hint: Add the two equations together to eliminate y — try a + b = 8 and a − b = 2: adding gives 2a = 10, so a = 5, then b = 3.
• Steps:
  • Add the equations: 2x = 12, so x = 6.
  • Substitute: 6 + y = 10, so y = 4.
• Answer: x = 6, y = 4

[Medium] Completing the Square

• EN: Solve by completing the square: x² + 6x − 7 = 0
• FR: Résous en complétant le carré: x² + 6x − 7 = 0
• Choices: A) x = 1 or x = −7 B) x = 7 or x = −1 C) x = 3 or x = −9 D) x = 2 or x = −8
• Hint: Complete the square: move the constant, add (b/2)² to both sides — try x² + 4x − 5 = 0: (x+2)² = 9, x = 1 or x = −5.
• Steps:
  • x² + 6x = 7.
  • Add (3)² = 9: (x + 3)² = 16.
  • x + 3 = ±4: x = 1 or x = −7.
• Answer: x = 1 or x = −7

[Medium] Circle Geometry

• EN: A circle has a radius of 7 cm. What is its circumference? (Use π ≈ 3.14)
• FR: Un cercle a un rayon de 7 cm. Quelle est sa circonférence? (Utilise π ≈ 3,14)
• Choices: A) 43.96 cm B) 22 cm C) 153.86 cm D) 49 cm
• Hint: Circumference = 2πr — try radius = 5 cm: C = 2 × 3.14 × 5 = 31.4 cm.
• Steps:
  • C = 2 × π × r = 2 × 3.14 × 7.
  • 2 × 3.14 = 6.28; 6.28 × 7 = 43.96.
  • Circumference = 43.96 cm.
• Answer: 43.96 cm

[Medium] Volume of a Cylinder

• EN: A cylindrical water tank has a radius of 3 m and a height of 10 m. What is its volume? (Use π ≈ 3.14)
• FR: Un réservoir d'eau cylindrique a un rayon de 3 m et une hauteur de 10 m. Quel est son volume? (Utilise π ≈ 3,14)
• Choices: A) 94.2 m³ B) 188.4 m³ C) 282.6 m³ D) 376.8 m³
• Hint: V = πr²h — try r = 2, h = 5: V = 3.14 × 4 × 5 = 62.8 m³.
• Steps:
  • V = π × r² × h = 3.14 × 9 × 10.
  • 3.14 × 9 = 28.26; 28.26 × 10 = 282.6.
  • Volume = 282.6 m³.
• Answer: 282.6 m³

[Medium] Trigonometry — Finding an Angle

• EN: In a right triangle, the opposite side is 5 cm and the hypotenuse is 10 cm. What angle (θ) has this sine ratio? (sin 30° = 0.5)
• FR: Dans un triangle rectangle, le côté opposé mesure 5 cm et l'hypoténuse mesure 10 cm. Quel angle (θ) a ce rapport sinus? (sin 30° = 0,5)
• Choices: A) 45° B) 90° C) 60° D) 30°
• Hint: sin(θ) = opposite/hypotenuse; find what angle has that sine value — try sin(45°) ≈ 0.707 and sin(30°) = 0.5.
• Steps:
  • sin(θ) = 5/10 = 0.5.
  • sin(30°) = 0.5.
  • θ = 30°.
• Answer: 30°

[Hard] Quadratic Formula

• EN: Use the quadratic formula to solve: x² − 5x + 4 = 0
• FR: Utilise la formule quadratique pour résoudre: x² − 5x + 4 = 0
• Choices: A) x = 2 or x = 3 B) x = 4 or x = 1 C) x = 5 or x = −1 D) x = 3 or x = 2
• Hint: x = [−b ± √(b²−4ac)] / 2a — try x² − 3x + 2 = 0: discriminant = 9 − 8 = 1, x = (3 ± 1)/2, so x = 2 or x = 1.
• Steps:
  • a=1, b=−5, c=4. Discriminant: (−5)² − 4(1)(4) = 25 − 16 = 9.
  • x = (5 ± 3) / 2.
  • x = 4 or x = 1.
• Answer: x = 4 or x = 1

[Hard] Circle Geometry — Chord and Radius

• EN: A chord is 16 cm long. The radius of the circle is 10 cm. How far is the chord from the centre of the circle?
• FR: Une corde mesure 16 cm de long. Le rayon du cercle est de 10 cm. À quelle distance la corde est-elle du centre du cercle?
• Choices: A) 8 cm B) 7 cm C) 9 cm D) 6 cm
• Hint: The perpendicular from the centre bisects the chord — use Pythagoras with the radius and half the chord; try chord = 12, radius = 10: half-chord = 6, distance = √(100 − 36) = 8.
• Steps:
  • Half-chord = 16 ÷ 2 = 8 cm.
  • Distance² = radius² − half-chord² = 10² − 8² = 100 − 64 = 36.
  • Distance = √36 = 6 cm.
• Answer: 6 cm

[Easy] Exponential Function

• EN: A bacteria culture doubles every hour. It starts with 50 bacteria. How many are there after 3 hours?
• FR: Une culture bactérienne double chaque heure. Elle commence avec 50 bactéries. Combien y en a-t-il après 3 heures?
• Choices: A) 300 bacteria B) 400 bacteria C) 150 bacteria D) 500 bacteria
• Hint: Exponential growth means multiply by the rate for each period — try starting with 10, doubling 3 times: 10 × 2³ = 80.
• Steps:
  • After 1 hour: 50 × 2 = 100.
  • After 2 hours: 100 × 2 = 200.
  • After 3 hours: 200 × 2 = 400 bacteria.
• Answer: 400 bacteria

[Easy] Arithmetic Sequence

• EN: An arithmetic sequence starts at 4 and has a common difference of 6. What is the 5th term?
• FR: Une suite arithmétique commence à 4 et a une raison de 6. Quel est le 5e terme?
• Choices: A) 26 B) 34 C) 28 D) 30
• Hint: Use the formula aₙ = a₁ + (n−1)d — try start = 3, difference = 5, term 4: 3 + 3×5 = 18.
• Steps:
  • a₅ = 4 + (5−1) × 6 = 4 + 4 × 6 = 4 + 24 = 28.
• Answer: 28

[Easy] Logarithm Introduction

• EN: What is log₂(8)?
• FR: Combien fait log₂(8)?
• Choices: A) 4 B) 2 C) 3 D) 6
• Hint: log_b(x) asks "to what power must I raise b to get x?" — try log₃(9): 3² = 9, so the answer is 2.
• Steps:
  • We ask: 2 to what power equals 8?
  • 2³ = 8.
  • log₂(8) = 3.
• Answer: 3

[Easy] Quadratic Function — Vertex

• EN: The parabola y = (x − 3)² + 5 has its vertex at which point?
• FR: La parabole y = (x − 3)² + 5 a son sommet en quel point?
• Choices: A) (−3, 5) B) (5, 3) C) (3, 5) D) (3, −5)
• Hint: In y = (x − h)² + k, the vertex is at (h, k) — try y = (x − 2)² + 7: vertex is at (2, 7).
• Steps:
  • Compare with y = (x − h)² + k.
  • h = 3, k = 5.
  • Vertex is (3, 5).
• Answer: (3, 5)

[Medium] Compound Interest

• EN: $2000 is invested at 4% per year, compounded annually. What is the total amount after 3 years?
• FR: 2000 $ sont investis à 4% par an, composé annuellement. Quel est le montant total après 3 ans?
• Choices: A) $2249.73 B) $2240.00 C) $2163.20 D) $2163.19
• Hint: Use A = P(1 + r)ⁿ — try $1000 at 5% for 2 years: A = 1000 × (1.05)² = 1000 × 1.1025 = $1102.50.
• Steps:
  • A = 2000 × (1.04)³.
  • (1.04)³ = 1.124864.
  • A = 2000 × 1.124864 = $2249.73.
• Answer: $2249.73

[Medium] Trigonometric Identity

• EN: Simplify: sin²(x) + cos²(x)
• FR: Simplifie: sin²(x) + cos²(x)
• Choices: A) 0 B) 2 C) sin(2x) D) 1
• Hint: This is a fundamental Pythagorean identity — if you use a triangle with any angle, the squares of sine and cosine always relate back to 1.
• Steps:
  • This is the Pythagorean identity.
  • sin²(x) + cos²(x) = 1 for all x.
• Answer: 1

[Medium] Geometric Series Sum

• EN: Find the sum of the first 4 terms of the geometric series: 2, 6, 18, 54, ...
• FR: Trouve la somme des 4 premiers termes de la série géométrique: 2, 6, 18, 54, ...
• Choices: A) 80 B) 60 C) 72 D) 90
• Hint: S = a(rⁿ − 1)/(r − 1) where r is the ratio — try 1, 3, 9, 27: r = 3, sum = 1(3⁴−1)/(3−1) = 80/2 = 40.
• Steps:
  • a = 2, r = 3, n = 4.
  • S = 2(3⁴ − 1)/(3 − 1) = 2(81 − 1)/2 = 80.
• Answer: 80

[Medium] Financial Math — Annuity

• EN: You deposit $500 at the end of each year into an account earning 5% per year. What is the total after 2 years (rounded to the nearest dollar)?
• FR: Tu déposes 500 $ à la fin de chaque année dans un compte rapportant 5% par an. Quel est le total après 2 ans (arrondi au dollar près)?
• Choices: A) $1000 B) $1025 C) $1050 D) $1075
• Hint: The first deposit earns interest for 1 year, the second earns none yet — try $100/year at 5%: after 2 years = 100 × 1.05 + 100 = $205.
• Steps:
  • First deposit of $500 grows for 1 year: 500 × 1.05 = $525.
  • Second deposit of $500 earns no interest yet: $500.
  • Total: $525 + $500 = $1025.
• Answer: $1025

[Hard] Logarithm Laws

• EN: Simplify: log₅(125) − log₅(5)
• FR: Simplifie: log₅(125) − log₅(5)
• Choices: A) log₅(120) B) 5 C) 2 D) 3
• Hint: Use the quotient rule: logb(A) − logb(B) = log_b(A/B) — try log₂(16) − log₂(4) = log₂(4) = 2.
• Steps:
  • log₅(125) − log₅(5) = log₅(125/5) = log₅(25).
  • 5² = 25, so log₅(25) = 2.
• Answer: 2

[Hard] Exponential Equation

• EN: Solve for x: 3^(2x) = 81
• FR: Résous pour x: 3^(2x) = 81
• Choices: A) x = 3 B) x = 4 C) x = 2 D) x = 5
• Hint: Express both sides as powers of the same base — try 2^(3x) = 64: 64 = 2⁶, so 3x = 6, x = 2.
• Steps:
  • 81 = 3⁴.
  • So 3^(2x) = 3⁴ → 2x = 4.
  • x = 2.
• Answer: x = 2

[Easy] Permutations

• EN: How many ways can 4 students be arranged in a line?
• FR: De combien de façons 4 élèves peuvent-ils être placés en rang?
• Choices: A) 16 ways B) 24 ways C) 12 ways D) 48 ways
• Hint: The number of arrangements of n distinct items is n! — try 3 students: 3! = 3 × 2 × 1 = 6 ways.
• Steps:
  • 4! = 4 × 3 × 2 × 1 = 24.
  • There are 24 ways.
• Answer: 24 ways

[Easy] Combinations

• EN: How many ways can you choose 2 players from a group of 6 for a free throw competition?
• FR: De combien de façons peut-on choisir 2 joueurs parmi un groupe de 6 pour un concours de lancers francs?
• Choices: A) 12 ways B) 30 ways C) 15 ways D) 20 ways
• Hint: Use C(n, r) = n! / [r!(n−r)!] — try C(5, 2) = 5!/(2! × 3!) = 10 ways.
• Steps:
  • C(6, 2) = 6! / (2! × 4!) = (6 × 5) / (2 × 1) = 30/2 = 15.
  • There are 15 ways.
• Answer: 15 ways

[Easy] Polynomial Function — Degree

• EN: What is the degree of the polynomial: 4x³ − 2x² + 7x − 5?
• FR: Quel est le degré du polynôme: 4x³ − 2x² + 7x − 5?
• Choices: A) 4 B) 2 C) 5 D) 3
• Hint: The degree is the highest exponent of x — in 3x⁵ + 2x² − 1, the degree is 5.
• Steps:
  • Look at the exponents: 3, 2, 1, 0.
  • The highest is 3.
  • The degree is 3.
• Answer: 3

[Easy] Derivative — Power Rule (intro)

• EN: If f(x) = x², what is the derivative f'(x)?
• FR: Si f(x) = x², quelle est la dérivée f'(x)?
• Choices: A) x B) 2 C) 2x D) x²
• Hint: The power rule says: bring the exponent to the front and reduce it by 1 — for f(x) = x⁵, f'(x) = 5x⁴.
• Steps:
  • f(x) = x²; power rule: bring exponent down, reduce by 1.
  • f'(x) = 2x^(2−1) = 2x.
• Answer: 2x

[Medium] Binomial Probability

• EN: A fair coin is flipped 3 times. What is the probability of getting exactly 2 heads?
• FR: Une pièce équitable est lancée 3 fois. Quelle est la probabilité d'obtenir exactement 2 faces?
• Choices: A) 1/8 B) 3/8 C) 1/4 D) 5/8
• Hint: P = C(n,k) × p^k × (1−p)^(n−k) — try 3 flips, exactly 1 head: C(3,1) × (0.5)¹ × (0.5)² = 3 × 0.125 = 3/8.
• Steps:
  • P = C(3,2) × (0.5)² × (0.5)¹.
  • C(3,2) = 3.
  • P = 3 × 0.25 × 0.5 = 3 × 0.125 = 3/8.
• Answer: 3/8

[Medium] Derivative — Rate of Change

• EN: A ball's height is given by h(t) = −5t² + 20t. What is the ball's velocity at t = 3 seconds?
• FR: La hauteur d'une balle est donnée par h(t) = −5t² + 20t. Quelle est la vitesse de la balle à t = 3 secondes?
• Choices: A) 5 m/s B) −10 m/s C) 10 m/s D) −5 m/s
• Hint: Velocity is the derivative; differentiate then substitute — try h(t) = −4t² + 12t: h'(t) = −8t + 12, at t = 2: h'(2) = −4.
• Steps:
  • h'(t) = −10t + 20.
  • At t = 3: h'(3) = −10(3) + 20 = −30 + 20 = −10.
  • The velocity is −10 m/s.
• Answer: −10 m/s

[Medium] Vectors — Addition

• EN: Vector u = (3, 4) and vector v = (−1, 6). What is u + v?
• FR: Le vecteur u = (3, 4) et le vecteur v = (−1, 6). Combien fait u + v?
• Choices: A) (2, 10) B) (4, 2) C) (3, 10) D) (2, 8)
• Hint: Add corresponding components — try (5, 2) + (−2, 4) = (3, 6).
• Steps:
  • Add x-components: 3 + (−1) = 2.
  • Add y-components: 4 + 6 = 10.
  • u + v = (2, 10).
• Answer: (2, 10)

[Medium] Rational Function — Vertical Asymptote

• EN: For the function f(x) = 1/(x − 4), where is the vertical asymptote?
• FR: Pour la fonction f(x) = 1/(x − 4), où se trouve l'asymptote verticale?
• Choices: A) x = −4 B) x = 1 C) x = 0 D) x = 4
• Hint: Set the denominator equal to zero and solve — for f(x) = 1/(x + 3), the vertical asymptote is at x = −3.
• Steps:
  • Set denominator equal to zero: x − 4 = 0.
  • x = 4.
  • The vertical asymptote is at x = 4.
• Answer: x = 4

[Hard] Permutations with Restrictions

• EN: How many 4-digit numbers can be formed using the digits 1, 2, 3, 4, 5 if no digit can be repeated and the number must be odd?
• FR: Combien de nombres à 4 chiffres peut-on former avec les chiffres 1, 2, 3, 4, 5 si aucun chiffre ne peut être répété et si le nombre doit être impair?
• Choices: A) 48 numbers B) 60 numbers C) 72 numbers D) 36 numbers
• Hint: Fix the last digit first (must be odd: 1, 3, or 5 = 3 choices), then fill the remaining 3 positions with the leftover digits — try the same idea with 3 digits and 3 odd options from 4 digits.
• Steps:
  • The last digit must be odd: 3 choices (1, 3, or 5).
  • Remaining 3 positions: 4 × 3 × 2 = 24 ways (choosing from the 4 remaining digits).
  • Total: 3 × 24 = 72 numbers.
• Answer: 72 numbers

[Hard] Normal Distribution

• EN: The scores on a provincial exam are normally distributed with a mean of 70 and a standard deviation of 10. Approximately what percentage of students scored between 60 and 80?
• FR: Les résultats à un examen provincial sont distribués normalement avec une moyenne de 70 et un écart-type de 10. Environ quel pourcentage d'élèves ont obtenu entre 60 et 80?
• Choices: A) 95% B) 99% C) 50% D) 68%
• Hint: The 68-95-99.7 rule states that about 68% of data falls within one standard deviation of the mean — think about what range one standard deviation above and below the mean creates.
• Steps:
  • 60 = 70 − 10 (one standard deviation below).
  • 80 = 70 + 10 (one standard deviation above).
  • By the 68-95-99.7 rule, approximately 68% of students scored in this range.
• Answer: 68%