Daily Math — 2026-08-11

[Easy] Counting Bears

• EN: Maya has 7 teddy bears on her shelf. She gets 5 more. How many teddy bears does she have now?
• FR: Maya a 7 oursons sur son étagère. Elle en reçoit 5 de plus. Combien d'oursons a-t-elle maintenant?
• Choices: A) 10 bears B) 11 bears C) 12 bears D) 13 bears
• Hint: To add 6 + 4, start at 6 and count up 4 more: 7, 8, 9, 10.
• Steps:
  • Start at 7 and count up 5 more.
  • 8, 9, 10, 11, 12 — that is 5 steps.
  • So Maya has 12 teddy bears.
• Answer: 12 bears

[Easy] Skip Counting by 2s

• EN: Count by 2s. What number comes next? 2, 4, 6, 8, ___
• FR: Compte par 2. Quel nombre vient ensuite? 2, 4, 6, 8, ___
• Choices: A) 9 B) 10 C) 11 D) 12
• Hint: When you count by 2s, add 2 each time: 4, 6, 8, 10.
• Steps:
  • The pattern adds 2 each time.
  • 8 + 2 = 10.
  • The next number is 10.
• Answer: 10

[Easy] Comparing Numbers

• EN: Which number is greater: 14 or 9?
• FR: Quel nombre est le plus grand : 14 ou 9?
• Choices: A) 9 B) 14 C) Both are equal D) 11
• Hint: Think of a number line — numbers on the right are bigger. 13 is to the right of 8, so 13 is greater.
• Steps:
  • 14 has a tens digit of 1; 9 has no tens digit.
  • Any two-digit number is greater than a one-digit number.
  • So 14 is greater than 9.
• Answer: 14

[Easy] Coin Recognition

• EN: Liam has one dime and one nickel. How many cents does he have in total?
• FR: Liam a une pièce de dix cents et une pièce de cinq cents. Combien de cents a-t-il en tout?
• Choices: A) 10 cents B) 12 cents C) 15 cents D) 20 cents
• Hint: A dime is worth 10 cents and a nickel is worth 5 cents. Try 10 + 3 = 13 cents as practice.
• Steps:
  • A dime = 10 cents.
  • A nickel = 5 cents.
  • 10 + 5 = 15 cents.
• Answer: 15 cents

[Medium] Subtraction Story

• EN: There are 16 apples in a basket. Sofia eats 7 of them. How many apples are left?
• FR: Il y a 16 pommes dans un panier. Sofia en mange 7. Combien de pommes reste-t-il?
• Choices: A) 7 apples B) 8 apples C) 9 apples D) 11 apples
• Hint: To find 13 − 5, start at 13 and count back 5: 12, 11, 10, 9, 8.
• Steps:
  • Start at 16 and count back 7.
  • 15, 14, 13, 12, 11, 10, 9 — that is 7 steps back.
  • 16 − 7 = 9 apples.
• Answer: 9 apples

[Medium] Skip Counting by 5s

• EN: Count by 5s. What number comes next? 5, 10, 15, 20, ___
• FR: Compte par 5. Quel nombre vient ensuite? 5, 10, 15, 20, ___
• Choices: A) 22 B) 24 C) 25 D) 30
• Hint: When counting by 5s, add 5 each time: 10, 15, 20, 25.
• Steps:
  • The pattern adds 5 each time.
  • 20 + 5 = 25.
  • The next number is 25.
• Answer: 25

[Medium] Addition Within 20

• EN: Ben has 8 crayons. His friend gives him 9 more. How many crayons does Ben have now?
• FR: Ben a 8 crayons. Son ami lui en donne 9 de plus. Combien de crayons Ben a-t-il maintenant?
• Choices: A) 15 crayons B) 16 crayons C) 17 crayons D) 18 crayons
• Hint: To add 6 + 7, make a ten: 6 + 4 = 10, then add 3 more = 13.
• Steps:
  • Make a ten: 8 + 2 = 10.
  • There are still 7 more to add (9 − 2 = 7).
  • 10 + 7 = 17 crayons.
• Answer: 17 crayons

[Medium] Counting by 10s

• EN: What number comes after 60 when you count by 10s?
• FR: Quel nombre vient après 60 quand on compte par 10?
• Choices: A) 61 B) 65 C) 70 D) 80
• Hint: Counting by 10s: 30, 40, 50 — add 10 each time.
• Steps:
  • When counting by 10s, add 10 each time.
  • 60 + 10 = 70.
  • The next number is 70.
• Answer: 70

[Hard] Two-Step Addition

• EN: Emma has 4 red stickers, 6 blue stickers, and 5 yellow stickers. How many stickers does she have altogether?
• FR: Emma a 4 autocollants rouges, 6 autocollants bleus et 5 autocollants jaunes. Combien d'autocollants a-t-elle en tout?
• Choices: A) 13 stickers B) 14 stickers C) 15 stickers D) 16 stickers
• Hint: Add two groups first, then add the third: 3 + 5 = 8, then 8 + 4 = 12.
• Steps:
  • First add the red and blue: 4 + 6 = 10.
  • Then add the yellow: 10 + 5 = 15.
  • Emma has 15 stickers altogether.
• Answer: 15 stickers

[Hard] Number Sense

• EN: What number is 1 more than 19?
• FR: Quel nombre est 1 de plus que 19?
• Choices: A) 18 B) 21 C) 20 D) 22
• Hint: 1 more than 14 is 15 — just add 1 to the number.
• Steps:
  • Start at 19.
  • Add 1 more: 19 + 1.
  • 19 + 1 = 20.
• Answer: 20

[Easy] Adding Within 100

• EN: A store has 34 red apples and 25 green apples. How many apples are there in total?
• FR: Un magasin a 34 pommes rouges et 25 pommes vertes. Combien y a-t-il de pommes en tout?
• Choices: A) 57 apples B) 58 apples C) 59 apples D) 61 apples
• Hint: Add the ones first, then the tens: 32 + 15 → 2 + 5 = 7, 30 + 10 = 40, total = 47.
• Steps:
  • Add the ones: 4 + 5 = 9.
  • Add the tens: 30 + 20 = 50.
  • 50 + 9 = 59 apples.
• Answer: 59 apples

[Easy] Telling Time

• EN: The clock shows the hour hand on 3 and the minute hand on 12. What time is it?
• FR: L'horloge montre la grande aiguille sur le 12 et la petite aiguille sur le 3. Quelle heure est-il?
• Choices: A) 12:00 B) 3:00 C) 3:30 D) 6:00
• Hint: When the minute hand points to 12 and the hour hand points to 5, the time is 5:00.
• 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 and an eraser is 4 cm long. How much longer is the pencil than the eraser?
• FR: Un crayon mesure 15 cm et une gomme mesure 4 cm. De combien le crayon est-il plus long que la gomme?
• Choices: A) 9 cm B) 10 cm C) 11 cm D) 19 cm
• Hint: To find the difference, subtract: 14 − 3 = 11 cm.
• Steps:
  • Subtract the shorter length from the longer: 15 − 4.
  • 15 − 4 = 11.
  • The pencil is 11 cm longer.
• Answer: 11 cm

[Easy] Counting Coins

• EN: Mei has 2 dimes and 3 nickels. How much money does she have?
• FR: Mei a 2 pièces de 10 cents et 3 pièces de 5 cents. Combien d'argent a-t-elle?
• Choices: A) 25 cents B) 30 cents C) 35 cents D) 40 cents
• Hint: 2 dimes = 20 cents, and 2 nickels = 10 cents, so the total would be 30 cents.
• Steps:
  • 2 dimes = 2 × 10 = 20 cents.
  • 3 nickels = 3 × 5 = 15 cents.
  • 20 + 15 = 35 cents.
• Answer: 35 cents

[Medium] Subtraction Within 100

• EN: A jar had 82 marbles. Tyler took out 47 marbles. How many marbles are left in the jar?
• FR: Un bocal contenait 82 billes. Tyler en a retiré 47. Combien de billes reste-t-il dans le bocal?
• Choices: A) 29 marbles B) 35 marbles C) 36 marbles D) 45 marbles
• Hint: To subtract 56 − 28, borrow from the tens: 16 − 8 = 8, then 4 − 2 = 2, so the answer is 28.
• Steps:
  • Ones column: 2 − 7 is not possible, so borrow. 12 − 7 = 5.
  • Tens column after borrowing: 7 − 4 = 3.
  • 82 − 47 = 35 marbles.
• Answer: 35 marbles

[Medium] Patterns

• EN: Look at this pattern: 3, 6, 9, 12, ___. What is the missing number?
• FR: Regarde ce motif : 3, 6, 9, 12, ___. Quel est le nombre manquant?
• Choices: A) 13 B) 14 C) 15 D) 16
• Hint: The pattern adds 3 each time: 4, 7, 10, 13 — add 3 to find the next number.
• Steps:
  • The pattern adds 3 each time.
  • 12 + 3 = 15.
  • The missing number is 15.
• Answer: 15

[Medium] Telling Time — Half Hour

• EN: The hour hand is between 7 and 8, and the minute hand points to 6. What time is it?
• FR: La petite aiguille est entre 7 et 8, et la grande aiguille pointe sur le 6. Quelle heure est-il?
• Choices: A) 6:30 B) 7:00 C) 7:30 D) 8:30
• Hint: When the minute hand points to 6, it means 30 minutes past the hour: 4:30 means the hour hand is between 4 and 5.
• Steps:
  • The minute hand on 6 means 30 minutes past.
  • The hour hand between 7 and 8 means it is past 7.
  • The time is 7:30.
• Answer: 7:30

[Medium] Measuring Length in Metres

• EN: A hallway is 8 m long. A classroom is 5 m long. How long are they together?
• FR: Un couloir mesure 8 m de long. Une salle de classe mesure 5 m de long. Quelle est leur longueur ensemble?
• Choices: A) 11 m B) 12 m C) 13 m D) 14 m
• Hint: Adding lengths: 6 m + 7 m = 13 m.
• Steps:
  • Add the two lengths together.
  • 8 + 5 = 13.
  • Together they are 13 m long.
• Answer: 13 m

[Hard] Multi-Step Coins

• EN: Jack has 1 loonie, 2 dimes, and 3 nickels. How much money does he have in total?
• FR: Jack a 1 pièce de 1 dollar, 2 pièces de 10 cents et 3 pièces de 5 cents. Combien d'argent a-t-il en tout?
• Choices: A) $1.25 B) $1.35 C) $1.45 D) $1.55
• Hint: A loonie = 100 cents, then add the dimes and nickels separately: 100 + 20 + 10 = 130 cents = $1.30.
• Steps:
  • 1 loonie = 100 cents.
  • 2 dimes = 20 cents.
  • 3 nickels = 15 cents.
  • 100 + 20 + 15 = 135 cents = $1.35.
• Answer: $1.35

[Hard] Two-Step Subtraction Story

• EN: There were 95 students at school. 28 went home early and 14 more left for a field trip. How many students remained?
• FR: Il y avait 95 élèves à l'école. 28 sont rentrés tôt et 14 autres sont partis en sortie. Combien d'élèves sont restés?
• Choices: A) 51 students B) 52 students C) 53 students D) 57 students
• Hint: For two-step problems, subtract one group at a time: 90 − 30 = 60, then 60 − 12 = 48.
• Steps:
  • First subtract those who went home: 95 − 28 = 67.
  • Then subtract those on the field trip: 67 − 14 = 53.
  • 53 students remained.
• Answer: 53 students

[Easy] Multiplication by 2

• EN: A hockey team has 6 players on the ice. How many players are on the ice for 2 teams?
• FR: Une équipe de hockey a 6 joueurs sur la glace. Combien de joueurs y a-t-il sur la glace pour 2 équipes?
• Choices: A) 8 players B) 10 players C) 12 players D) 14 players
• Hint: Multiplying by 2 means adding the number to itself: 5 × 2 = 5 + 5 = 10.
• Steps:
  • There are 2 teams, each with 6 players.
  • 6 × 2 = 12.
  • There are 12 players on the ice.
• Answer: 12 players

[Easy] Basic Division

• EN: There are 20 cookies to share equally among 4 children. How many cookies does each child get?
• FR: Il y a 20 biscuits à partager également entre 4 enfants. Combien de biscuits chaque enfant reçoit-il?
• Choices: A) 4 cookies B) 5 cookies C) 6 cookies D) 8 cookies
• Hint: Division is sharing equally: 15 ÷ 3 = 5 because 3 × 5 = 15.
• Steps:
  • We need to share 20 cookies equally among 4 children.
  • Ask: 4 × ? = 20. The answer is 5.
  • Each child gets 5 cookies.
• Answer: 5 cookies

[Easy] Fractions — One Half

• EN: A pizza is cut into 4 equal slices. Nina eats 2 slices. What fraction of the pizza did Nina eat?
• FR: Une pizza est coupée en 4 tranches égales. Nina mange 2 tranches. Quelle fraction de la pizza Nina a-t-elle mangée?
• Choices: A) 1/4 B) 1/3 C) 1/2 D) 3/4
• Hint: If you eat 3 out of 6 slices, you ate 3/6, which equals 1/2.
• Steps:
  • Nina ate 2 out of 4 slices.
  • 2/4 simplifies to 1/2.
  • Nina ate 1/2 of the pizza.
• Answer: 1/2

[Easy] Multiplication by 5

• EN: There are 5 bags of apples, and each bag has 5 apples. How many apples are there altogether?
• FR: Il y a 5 sacs de pommes, et chaque sac contient 5 pommes. Combien de pommes y a-t-il en tout?
• Choices: A) 20 apples B) 22 apples C) 25 apples D) 30 apples
• Hint: The 5s multiplication table: 3 × 5 = 15, 4 × 5 = 20, 5 × 5 = 25.
• Steps:
  • 5 bags × 5 apples per bag.
  • 5 × 5 = 25.
  • There are 25 apples altogether.
• Answer: 25 apples

[Medium] Multiplication by 3

• EN: A Tim Hortons box holds 4 doughnuts. How many doughnuts are in 3 boxes?
• FR: Une boîte de Tim Hortons contient 4 beignes. Combien de beignes y a-t-il dans 3 boîtes?
• Choices: A) 7 doughnuts B) 10 doughnuts C) 12 doughnuts D) 16 doughnuts
• Hint: 3 groups of 5 = 15, because 3 × 5 = 15.
• Steps:
  • 3 boxes × 4 doughnuts each.
  • 3 × 4 = 12.
  • There are 12 doughnuts altogether.
• Answer: 12 doughnuts

[Medium] Perimeter

• EN: A rectangular garden is 6 m long and 3 m wide. What is the perimeter of the garden?
• FR: Un jardin rectangulaire mesure 6 m de long et 3 m de large. Quel est le périmètre du jardin?
• Choices: A) 9 m B) 16 m C) 18 m D) 20 m
• Hint: Perimeter = all sides added together. For a rectangle with length 4 and width 2: 4 + 4 + 2 + 2 = 12.
• Steps:
  • A rectangle has 2 long sides and 2 short sides.
  • 6 + 6 + 3 + 3 = 18.
  • The perimeter is 18 m.
• Answer: 18 m

[Medium] Reading a Graph

• EN: A bar graph shows: Lions scored 8 goals, Bears scored 5 goals, Tigers scored 7 goals. Which team scored the most goals?
• FR: Un diagramme à barres montre : les Lions ont marqué 8 buts, les Bears 5 buts, les Tigers 7 buts. Quelle équipe a marqué le plus de buts?
• Choices: A) Bears B) Tigers C) Lions D) All teams tied
• Hint: Compare the numbers to find the largest: 9 is more than 7, and 7 is more than 4.
• Steps:
  • Lions: 8, Bears: 5, Tigers: 7.
  • Compare: 8 > 7 > 5.
  • The Lions scored the most goals.
• Answer: Lions

[Medium] Multiplication by 10

• EN: There are 7 classrooms in a school. Each classroom has 10 students. How many students are in the school?
• FR: Il y a 7 salles de classe dans une école. Chaque salle contient 10 élèves. Combien d'élèves y a-t-il dans l'école?
• Choices: A) 17 students B) 60 students C) 70 students D) 80 students
• Hint: Multiplying by 10 just adds a zero: 6 × 10 = 60.
• Steps:
  • 7 classrooms × 10 students each.
  • 7 × 10 = 70.
  • There are 70 students in the school.
• Answer: 70 students

[Hard] Fraction Comparison

• EN: Which fraction is larger: 1/2 or 1/4?
• FR: Quelle fraction est la plus grande : 1/2 ou 1/4?
• Choices: A) 1/4 B) 1/2 C) They are equal D) Neither can be compared
• Hint: Imagine cutting a pizza: 1/3 of a pizza is a bigger slice than 1/6 of the same pizza.
• Steps:
  • When the top number (numerator) is the same, the bigger the bottom number (denominator), the smaller the piece.
  • 1/2 means one piece out of 2 equal pieces (a big piece).
  • 1/4 means one piece out of 4 equal pieces (a smaller piece).
  • So 1/2 is larger.
• Answer: 1/2

[Hard] Two-Step Multiplication Problem

• EN: Each student in a class of 4 groups brings 3 books. Each group has 5 students. How many books are there in total?
• FR: Chaque élève dans une classe de 4 groupes apporte 3 livres. Chaque groupe a 5 élèves. Combien y a-t-il de livres en tout?
• Choices: A) 48 books B) 55 books C) 60 books D) 65 books
• Hint: Find the total number of students first: 3 groups × 4 students = 12, then 12 × 2 books = 24 books.
• Steps:
  • Find the total number of students: 4 groups × 5 students = 20 students.
  • Each student brings 3 books: 20 × 3 = 60.
  • There are 60 books in total.
• Answer: 60 books

[Easy] Multiplication Tables

• EN: What is 7 × 8?
• FR: Combien font 7 × 8?
• Choices: A) 48 B) 54 C) 56 D) 63
• Hint: 6 × 8 = 48, so 7 × 8 is one more group of 8: 48 + 8 = 56.
• Steps:
  • Think of the 8 times table: 6 × 8 = 48, 7 × 8 = 56.
  • Or: 7 × 8 = 7 × 4 × 2 = 28 × 2 = 56.
  • 7 × 8 = 56.
• Answer: 56

[Easy] Decimal Place Value

• EN: What is the value of the digit 3 in the number 4.37?
• FR: Quelle est la valeur du chiffre 3 dans le nombre 4,37?
• Choices: A) 3 ones B) 3 tenths C) 3 hundredths D) 3 tens
• Hint: In 5.62, the 6 is in the tenths place and the 2 is in the hundredths place.
• Steps:
  • The number 4.37 has digits: 4 (ones), 3 (tenths), 7 (hundredths).
  • The digit 3 is in the first decimal place.
  • The first decimal place is the tenths place.
• Answer: 3 tenths

[Easy] Area of a Rectangle

• EN: A rectangle is 9 cm long and 4 cm wide. What is its area?
• FR: Un rectangle mesure 9 cm de long et 4 cm de large. Quelle est son aire?
• Choices: A) 26 cm² B) 32 cm² C) 36 cm² D) 40 cm²
• Hint: Area of a rectangle = length × width. For a 5 cm × 6 cm rectangle, Area = 5 × 6 = 30 cm².
• Steps:
  • Area = length × width.
  • Area = 9 × 4 = 36.
  • The area is 36 cm².
• Answer: 36 cm²

[Easy] Comparing Fractions

• EN: Which fraction is greater: 3/4 or 2/4?
• FR: Quelle fraction est la plus grande : 3/4 ou 2/4?
• Choices: A) 2/4 B) 3/4 C) They are equal D) Neither
• Hint: When denominators are the same, compare numerators: 5/8 > 3/8 because 5 > 3.
• Steps:
  • Both fractions have the same denominator (4), so compare the numerators.
  • 3 > 2.
  • Therefore, 3/4 > 2/4.
• Answer: 3/4

[Medium] Long Division

• EN: What is 84 ÷ 4?
• FR: Combien font 84 ÷ 4?
• Choices: A) 18 B) 20 C) 21 D) 22
• Hint: For 96 ÷ 3: 90 ÷ 3 = 30, 6 ÷ 3 = 2, so 96 ÷ 3 = 32.
• Steps:
  • Divide the tens: 8 ÷ 4 = 2 (tens).
  • Divide the ones: 4 ÷ 4 = 1.
  • 84 ÷ 4 = 21.
• Answer: 21

[Medium] Elapsed Time

• EN: School starts at 8:45 a.m. and ends at 3:15 p.m. How long is the school day?
• FR: L'école commence à 8 h 45 et se termine à 15 h 15. Combien de temps dure la journée scolaire?
• Choices: A) 5 hours 30 minutes B) 6 hours 30 minutes C) 7 hours 15 minutes D) 7 hours 30 minutes
• Hint: From 9:00 a.m. to 2:00 p.m. is 5 hours, then adjust for extra minutes.
• Steps:
  • From 8:45 to 9:00 is 15 minutes.
  • From 9:00 to 3:00 is 6 hours.
  • From 3:00 to 3:15 is 15 minutes.
  • Total: 6 hours + 15 + 15 = 6 hours 30 minutes.
• Answer: 6 hours 30 minutes

[Medium] Decimals — Addition

• EN: Anika bought a notebook for $3.45 and a pencil case for $2.30. How much did she spend in total?
• FR: Anika a acheté un cahier pour 3,45 $ et une trousse pour 2,30 $. Combien a-t-elle dépensé en tout?
• Choices: A) $5.65 B) $5.70 C) $5.75 D) $6.05
• Hint: Line up the decimal points and add: $4.20 + $1.35 = $5.55.
• Steps:
  • Line up the decimal points.
  • $3.45 + $2.30: Ones: 3 + 2 = 5; Tenths: 4 + 3 = 7; Hundredths: 5 + 0 = 5.
  • Total = $5.75.
• Answer: $5.75

[Medium] Long Division with Remainder

• EN: A baker has 77 muffins to pack into boxes of 6. How many full boxes can he make, and how many muffins are left over?
• FR: Un boulanger a 77 muffins à emballer dans des boîtes de 6. Combien de boîtes complètes peut-il faire et combien de muffins restent-il?
• Choices: A) 11 boxes with 5 left over B) 12 boxes with 4 left over C) 12 boxes with 5 left over D) 13 boxes with 1 left over
• Hint: For 50 ÷ 7: 7 × 7 = 49, so 7 boxes with 1 left over.
• Steps:
  • 6 × 12 = 72; 6 × 13 = 78 (too big).
  • So 12 full boxes are made.
  • Remainder: 77 − 72 = 5 muffins left over.
• Answer: 12 boxes with 5 left over

[Hard] Multi-Step Area Problem

• EN: A hockey rink is 60 m long and 25 m wide. A lobby attached to the end is 10 m long and 25 m wide. What is the total area of the rink and lobby together?
• FR: Une patinoire de hockey mesure 60 m de long et 25 m de large. Un lobby attaché à une extrémité mesure 10 m de long et 25 m de large. Quelle est la superficie totale de la patinoire et du hall ensemble?
• Choices: A) 1 500 m² B) 1 650 m² C) 1 750 m² D) 1 800 m²
• Hint: Find the area of each rectangle separately, then add them: a 4 × 3 room and a 2 × 3 room gives 12 + 6 = 18 units².
• Steps:
  • Area of rink: 60 × 25 = 1 500 m².
  • Area of lobby: 10 × 25 = 250 m².
  • Total area: 1 500 + 250 = 1 750 m².
• Answer: 1 750 m²

[Hard] Decimal and Fraction Mixed Problem

• EN: Maya has $10.00. She spends $4.75 on a snack and gives 1/4 of the remaining money to her brother. How much does Maya keep for herself?
• FR: Maya a 10,00 $. Elle dépense 4,75 $ pour une collation et donne 1/4 de l'argent restant à son frère. Combien Maya garde-t-elle pour elle-même?
• Choices: A) $3.25 B) $3.75 C) $3.94 D) $4.50
• Hint: First subtract, then find 1/4 of what is left: Start with $8.00, spend $2.00, remaining is $6.00, then 1/4 of $6.00 = $1.50, keep $4.50.
• Steps:
  • Remaining after snack: $10.00 − $4.75 = $5.25.
  • 1/4 of $5.25 = $5.25 ÷ 4 = $1.3125 — recalculate: $5.25 ÷ 4 = $1.3125. This isn't clean, so re-check: Maya keeps 3/4 of $5.25 = 3 × $1.3125 = $3.9375 ≈ $3.94.
  • Maya keeps $3.94 (rounded to the nearest cent).
• Answer: $3.94

[Easy] Multi-Digit Multiplication

• EN: What is 34 × 6?
• FR: Combien font 34 × 6?
• Choices: A) 194 B) 200 C) 204 D) 210
• Hint: Break it apart: 30 × 6 = 180, 4 × 6 = 24, then add: 180 + 24 = 204.
• Steps:
  • 30 × 6 = 180.
  • 4 × 6 = 24.
  • 180 + 24 = 204.
• Answer: 204

[Easy] Adding Fractions with Like Denominators

• EN: What is 2/8 + 3/8?
• FR: Combien font 2/8 + 3/8?
• Choices: A) 5/16 B) 5/8 C) 6/8 D) 1/8
• Hint: When denominators are the same, just add the numerators: 3/7 + 2/7 = 5/7.
• Steps:
  • The denominators are both 8, so keep the denominator.
  • Add the numerators: 2 + 3 = 5.
  • The answer is 5/8.
• Answer: 5/8

[Easy] Decimal Addition

• EN: What is 3.6 + 2.9?
• FR: Combien font 3,6 + 2,9?
• Choices: A) 5.5 B) 6.4 C) 6.5 D) 7.5
• Hint: Line up decimals: 4.2 + 1.8 → 2 + 8 = 10 (carry 1), 4 + 1 + 1 = 6, so 6.0.
• Steps:
  • Line up the decimal points.
  • 6 + 9 = 15; write 5, carry 1.
  • 3 + 2 + 1 = 6.
  • Answer is 6.5.
• Answer: 6.5

[Easy] 50% of a Number

• EN: What is 50% of 80?
• FR: Combien font 50 % de 80?
• Choices: A) 30 B) 40 C) 45 D) 50
• Hint: 50% means half. Half of 60 = 30.
• Steps:
  • 50% means one half.
  • 80 ÷ 2 = 40.
  • 50% of 80 is 40.
• Answer: 40

[Medium] Multi-Digit Division

• EN: What is 546 ÷ 6?
• FR: Combien font 546 ÷ 6?
• Choices: A) 81 B) 88 C) 91 D) 95
• Hint: For 486 ÷ 6: 6 goes into 48 eight times (48), bring down 6, 6 ÷ 6 = 1, so 81.
• Steps:
  • 6 into 5 doesn't go, so look at 54: 6 × 9 = 54, write 9.
  • Bring down 6: 6 ÷ 6 = 1, write 1.
  • 546 ÷ 6 = 91.
• Answer: 91

[Medium] Subtracting Fractions with Like Denominators

• EN: What is 7/10 − 3/10?
• FR: Combien font 7/10 − 3/10?
• Choices: A) 3/10 B) 4/10 C) 5/10 D) 10/10
• Hint: Subtract numerators when denominators match: 8/9 − 2/9 = 6/9.
• Steps:
  • Same denominator (10), so subtract the numerators.
  • 7 − 3 = 4.
  • The answer is 4/10.
• Answer: 4/10

[Medium] Volume of a Rectangular Prism

• EN: A box is 5 cm long, 4 cm wide, and 3 cm tall. What is the volume of the box?
• FR: Une boîte mesure 5 cm de long, 4 cm de large et 3 cm de haut. Quel est le volume de la boîte?
• Choices: A) 48 cm³ B) 55 cm³ C) 60 cm³ D) 72 cm³
• Hint: Volume = length × width × height. For a box 4 × 3 × 2 = 24 cm³.
• Steps:
  • Volume = l × w × h.
  • 5 × 4 × 3 = 20 × 3 = 60.
  • The volume is 60 cm³.
• Answer: 60 cm³

[Medium] 25% of a Number

• EN: A sweater costs $48.00. It is on sale for 25% off. How much is the discount?
• FR: Un chandail coûte 48,00 $. Il est en solde à 25 % de réduction. Quel est le montant de la réduction?
• Choices: A) $8.00 B) $10.00 C) $12.00 D) $16.00
• Hint: 25% = 1/4, so divide by 4: 25% of $60.00 = $60.00 ÷ 4 = $15.00.
• Steps:
  • 25% means one quarter.
  • $48.00 ÷ 4 = $12.00.
  • The discount is $12.00.
• Answer: $12.00

[Hard] Multi-Step Fraction and Decimal Problem

• EN: A trail is 4.5 km long. Priya has walked 3/5 of the trail. How many kilometres has she walked?
• FR: Un sentier mesure 4,5 km de long. Priya a parcouru 3/5 du sentier. Combien de kilomètres a-t-elle marchés?
• Choices: A) 2.5 km B) 2.7 km C) 3.0 km D) 3.5 km
• Hint: To find 3/5 of a number, multiply by 3 then divide by 5: 3/5 of 10 = (10 × 3) ÷ 5 = 6.
• Steps:
  • Find 1/5 of 4.5: 4.5 ÷ 5 = 0.9 km.
  • Multiply by 3: 0.9 × 3 = 2.7 km.
  • Priya has walked 2.7 km.
• Answer: 2.7 km

[Hard] Combined Operations with Decimals

• EN: Caden buys 4 packs of hockey cards at $2.75 each and pays with a $20 bill. How much change does he receive?
• FR: Caden achète 4 paquets de cartes de hockey à 2,75 $ chacun et paye avec un billet de 20 $. Combien de monnaie reçoit-il?
• Choices: A) $8.00 B) $9.00 C) $9.25 D) $11.00
• Hint: Total cost = price × quantity; change = amount paid − total cost. Try: 3 packs × $3.50 = $10.50; change from $20 = $9.50.
• Steps:
  • Total cost: 4 × $2.75 = $11.00.
  • Change: $20.00 − $11.00 = $9.00.
  • Caden receives $9.00 in change.
• Answer: $9.00

[Easy] Percent of a Number

• EN: What is 30% of 200?
• FR: Combien font 30 % de 200?
• Choices: A) 40 B) 50 C) 60 D) 70
• Hint: 10% of 200 = 20, so 30% = 3 × 20 = 60.
• Steps:
  • Find 10% first: 200 × 0.10 = 20.
  • Multiply by 3: 20 × 3 = 60.
  • 30% of 200 = 60.
• Answer: 60

[Easy] Introduction to Integers

• EN: On a winter day in Winnipeg, the temperature was −8°C. It rose by 5°C. What is the new temperature?
• FR: Par une journée d'hiver à Winnipeg, la température était de −8 °C. Elle a augmenté de 5 °C. Quelle est la nouvelle température?
• Choices: A) −4°C B) −3°C C) −2°C D) 3°C
• Hint: Adding a positive to a negative: −10 + 4 = −6 (start at −10 and move 4 steps up the number line).
• Steps:
  • Start at −8.
  • Move up 5 steps: −8 + 5.
  • −8 + 5 = −3°C.
• Answer: −3°C

[Easy] Order of Operations — Simple

• EN: What is 4 + 3 × 2?
• FR: Combien font 4 + 3 × 2?
• Choices: A) 10 B) 14 C) 11 D) 13
• Hint: BEDMAS: Multiplication before addition. In 5 + 2 × 3, do 2 × 3 = 6 first, then 5 + 6 = 11.
• Steps:
  • According to BEDMAS, multiply before adding.
  • 3 × 2 = 6.
  • 4 + 6 = 10.
• Answer: 10

[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) 12 B) 17 C) 18 D) 19
• Hint: Substitute the value: if n = 3, then 2n + 1 = 2(3) + 1 = 6 + 1 = 7.
• Steps:
  • Substitute n = 5: 3(5) + 4.
  • 3 × 5 = 15.
  • 15 + 4 = 19.
• Answer: 19

[Medium] Ratio and Rate

• EN: A recipe needs 2 cups of flour for every 3 cups of sugar. If you use 6 cups of flour, how many cups of sugar do you need?
• FR: Une recette nécessite 2 tasses de farine pour 3 tasses de sucre. Si tu utilises 6 tasses de farine, combien de tasses de sucre te faut-il?
• Choices: A) 7 cups B) 8 cups C) 9 cups D) 10 cups
• Hint: If the ratio is 1:4 and you use 3 of the first ingredient, you need 3 × 4 = 12 of the second.
• Steps:
  • The ratio is 2 cups flour : 3 cups sugar.
  • 6 cups flour is 6 ÷ 2 = 3 times the original recipe.
  • Sugar needed: 3 × 3 = 9 cups.
• Answer: 9 cups

[Medium] Fraction Multiplication

• EN: What is 3/4 × 2/5?
• FR: Combien font 3/4 × 2/5?
• Choices: A) 5/20 B) 6/20 C) 6/9 D) 8/20
• Hint: Multiply numerators together and denominators together: 2/3 × 3/4 = 6/12 = 1/2.
• Steps:
  • Multiply numerators: 3 × 2 = 6.
  • Multiply denominators: 4 × 5 = 20.
  • The answer is 6/20.
• Answer: 6/20

[Medium] Percent Discount

• EN: A pair of skates regularly costs $80.00. They are on sale for 20% off. What is the sale price?
• FR: Une paire de patins coûte normalement 80,00 $. Elle est en solde à 20 % de réduction. Quel est le prix de vente?
• Choices: A) $60.00 B) $62.00 C) $64.00 D) $70.00
• Hint: Find the discount, then subtract: 10% of $50 = $5, so 20% = $10, sale price = $50 − $10 = $40.
• Steps:
  • 20% of $80.00 = $80.00 × 0.20 = $16.00.
  • Sale price = $80.00 − $16.00 = $64.00.
  • The sale price is $64.00.
• Answer: $64.00

[Medium] Fraction Division

• EN: What is 3/4 ÷ 1/2?
• FR: Combien font 3/4 ÷ 1/2?
• Choices: A) 3/8 B) 1/2 C) 3/2 D) 2/3
• Hint: Dividing by a fraction means multiplying by its reciprocal: 2/3 ÷ 1/4 = 2/3 × 4/1 = 8/3.
• Steps:
  • Flip the second fraction (find its reciprocal): 1/2 becomes 2/1.
  • Multiply: 3/4 × 2/1 = 6/4 = 3/2.
  • The answer is 3/2.
• Answer: 3/2

[Hard] Order of Operations

• EN: What is (3 + 5)² − 4 × 3?
• FR: Combien font (3 + 5)² − 4 × 3?
• Choices: A) 48 B) 50 C) 52 D) 55
• Hint: BEDMAS order — Brackets first, then Exponents, then Multiply/Divide, then Add/Subtract. For (2 + 3)² − 2 × 4: 5² − 8 = 25 − 8 = 17.
• Steps:
  • Brackets first: 3 + 5 = 8.
  • Exponent: 8² = 64.
  • Multiplication: 4 × 3 = 12.
  • Subtraction: 64 − 12 = 52.
• Answer: 52

[Hard] Multi-Step Rate Problem

• EN: A car travels 90 km in 1.5 hours. At the same speed, how far will it travel in 4 hours?
• FR: Une voiture parcourt 90 km en 1,5 heure. À la même vitesse, quelle distance parcourra-t-elle en 4 heures?
• Choices: A) 200 km B) 220 km C) 240 km D) 260 km
• Hint: Find the speed (km per hour) first: if a car goes 60 km in 2 hours, speed = 30 km/h, then in 5 hours it travels 150 km.
• Steps:
  • Find the speed: 90 km ÷ 1.5 hours = 60 km/h.
  • Distance in 4 hours: 60 × 4 = 240 km.
  • The car travels 240 km.
• Answer: 240 km

[Easy] Integer Addition

• EN: What is −6 + 9?
• FR: Combien font −6 + 9?
• Choices: A) −3 B) 2 C) 3 D) 15
• Hint: On the number line, start at −4 and move right 7 steps to land on 3.
• Steps:
  • Start at −6 on the number line.
  • Move right (positive direction) 9 steps.
  • −6 + 9 = 3.
• Answer: 3

[Easy] Percent — Finding Discount

• EN: A video game costs $60.00 and is on sale for 15% off. How much is the discount?
• FR: Un jeu vidéo coûte 60,00 $ et est en solde à 15 % de réduction. Quel est le montant de la réduction?
• Choices: A) $6.00 B) $8.00 C) $9.00 D) $12.00
• Hint: 10% of $80 = $8, 5% = $4, so 15% = $12.
• Steps:
  • 10% of $60 = $6.00.
  • 5% of $60 = $3.00.
  • 15% = $6.00 + $3.00 = $9.00.
• Answer: $9.00

[Easy] One-Step Linear Equation

• EN: Solve for x: x + 7 = 15
• FR: Résous pour x : x + 7 = 15
• Choices: A) x = 6 B) x = 7 C) x = 8 D) x = 22
• Hint: To isolate x, subtract the same number from both sides: x + 4 = 10 → x = 10 − 4 = 6.
• Steps:
  • Subtract 7 from both sides.
  • x + 7 − 7 = 15 − 7.
  • x = 8.
• Answer: x = 8

[Easy] Fraction and Decimal Fluency

• EN: What is 0.75 as a fraction in lowest terms?
• FR: Quelle est la fraction simplifiée de 0,75?
• Choices: A) 7/5 B) 75/10 C) 3/4 D) 7/10
• Hint: 0.50 = 50/100 = 1/2, and 0.25 = 25/100 = 1/4.
• Steps:
  • 0.75 = 75/100.
  • Simplify by dividing numerator and denominator by 25.
  • 75 ÷ 25 = 3, 100 ÷ 25 = 4, so 0.75 = 3/4.
• Answer: 3/4

[Medium] Integer Multiplication

• EN: What is (−4) × (−7)?
• FR: Combien font (−4) × (−7)?
• Choices: A) −28 B) −11 C) 11 D) 28
• Hint: Negative × negative = positive: (−3) × (−5) = +15.
• Steps:
  • A negative times a negative gives a positive result.
  • 4 × 7 = 28.
  • (−4) × (−7) = +28.
• Answer: 28

[Medium] Percent Tax

• EN: A book costs $24.00 before tax. If the tax rate is 13% (HST), how much does the book cost after tax?
• FR: Un livre coûte 24,00 $ avant les taxes. Si le taux de taxe est de 13 % (TVH), combien coûte le livre après les taxes?
• Choices: A) $26.72 B) $27.12 C) $27.52 D) $28.00
• Hint: Tax amount = price × tax rate; total = price + tax. For a $40 item at 10% tax: tax = $4, total = $44.
• Steps:
  • Tax: $24.00 × 0.13 = $3.12.
  • Total: $24.00 + $3.12 = $27.12.
  • The book costs $27.12 after tax.
• Answer: $27.12

[Medium] Surface Area

• EN: What is the surface area of a rectangular prism that is 5 cm long, 3 cm wide, and 2 cm tall?
• FR: Quelle est l'aire de la surface d'un prisme rectangulaire de 5 cm de long, 3 cm de large et 2 cm de haut?
• Choices: A) 30 cm² B) 52 cm² C) 62 cm² D) 72 cm²
• Hint: Surface area = 2(lw + lh + wh). For a 2 × 2 × 2 cube: 2(4 + 4 + 4) = 24 cm².
• Steps:
  • The three pairs of faces: l×w, l×h, w×h.
  • 5×3 = 15, 5×2 = 10, 3×2 = 6.
  • Surface area = 2(15 + 10 + 6) = 2 × 31 = 62 cm².
• Answer: 62 cm²

[Medium] Probability

• EN: A bag contains 3 red marbles, 4 blue marbles, and 5 green marbles. What is the probability of picking a blue marble?
• FR: Un sac contient 3 billes rouges, 4 billes bleues et 5 billes vertes. Quelle est la probabilité de piger une bille bleue?
• Choices: A) 1/4 B) 1/3 C) 4/12 D) 5/12
• Hint: Probability = favourable outcomes ÷ total outcomes. For 2 red out of 8 total: P = 2/8 = 1/4.
• Steps:
  • Total marbles: 3 + 4 + 5 = 12.
  • Favourable outcomes (blue): 4.
  • P(blue) = 4/12 = 1/3.
• Answer: 1/3

[Hard] Two-Step Integer Problem

• EN: The temperature in Whitehorse was −15°C in the morning. It dropped another 7°C, then rose 12°C by afternoon. What was the afternoon temperature?
• FR: La température à Whitehorse était de −15 °C le matin. Elle a encore baissé de 7 °C, puis est montée de 12 °C en après-midi. Quelle était la température en après-midi?
• Choices: A) −12°C B) −11°C C) −10°C D) −8°C
• Hint: Work step by step: −20 − 3 = −23, then −23 + 10 = −13.
• Steps:
  • Start: −15°C.
  • Drop 7: −15 − 7 = −22°C.
  • Rise 12: −22 + 12 = −10°C.
  • The afternoon temperature is −10°C.
• Answer: −10°C

[Hard] Multi-Step Percent Problem

• EN: Luc scored 36 out of 40 on a math test. What percentage did he score? If a passing grade is 80%, did he pass?
• FR: Luc a obtenu 36 sur 40 à un test de mathématiques. Quel pourcentage a-t-il obtenu? Si la note de passage est 80 %, a-t-il réussi?
• Choices: A) 88%, yes he passed B) 89%, yes he passed C) 90%, yes he passed D) 92%, yes he passed
• Hint: Percentage = (score ÷ total) × 100. For 21 out of 25: (21 ÷ 25) × 100 = 84%.
• Steps:
  • Percentage = (36 ÷ 40) × 100.
  • 36 ÷ 40 = 0.9.
  • 0.9 × 100 = 90%.
  • 90% > 80%, so he passed.
• Answer: 90%, yes he passed

[Easy] Perfect Squares

• EN: What is √144?
• FR: Combien font √144?
• Choices: A) 11 B) 12 C) 13 D) 14
• Hint: Think: what number times itself equals 144? 11 × 11 = 121, 12 × 12 = 144.
• Steps:
  • We need a number that, when multiplied by itself, gives 144.
  • 12 × 12 = 144.
  • √144 = 12.
• Answer: 12

[Easy] Mean of a Data Set

• EN: Five students scored: 72, 85, 68, 90, and 75 on a test. What is the mean (average) score?
• FR: Cinq élèves ont obtenu les notes suivantes : 72, 85, 68, 90 et 75. Quelle est la moyenne?
• Choices: A) 76 B) 78 C) 80 D) 82
• Hint: Mean = sum of all values ÷ number of values. For 10, 20, 30: mean = 60 ÷ 3 = 20.
• Steps:
  • Add all scores: 72 + 85 + 68 + 90 + 75 = 390.
  • Divide by the number of students: 390 ÷ 5 = 78.
  • The mean score is 78.
• Answer: 78

[Easy] Two-Step Equation — Simple

• EN: Solve for x: 2x + 3 = 11
• FR: Résous pour x : 2x + 3 = 11
• Choices: A) x = 3 B) x = 4 C) x = 5 D) x = 7
• Hint: Undo the operations in reverse order: for 3x − 2 = 10, first add 2 to get 3x = 12, then divide by 3 to get x = 4.
• Steps:
  • Subtract 3 from both sides: 2x = 8.
  • Divide both sides by 2: x = 4.
  • The solution is x = 4.
• Answer: x = 4

[Easy] Percent Increase

• EN: A hockey jersey was priced at $50.00. Its price increased by 10%. What is the new price?
• FR: Un chandail de hockey était à 50,00 $. Son prix a augmenté de 10 %. Quel est le nouveau prix?
• Choices: A) $54.00 B) $55.00 C) $56.00 D) $60.00
• Hint: Increase = original × percent. New price = original + increase. For $40 + 10%: increase = $4, new price = $44.
• Steps:
  • 10% of $50.00 = $5.00.
  • New price = $50.00 + $5.00 = $55.00.
  • The new price is $55.00.
• Answer: $55.00

[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 côtés de 6 cm et 8 cm. Quelle est la longueur de l'hypoténuse?
• Choices: A) 9 cm B) 10 cm C) 11 cm D) 14 cm
• Hint: Use a² + b² = c². For legs 3 and 4: 9 + 16 = 25, so c = √25 = 5.
• Steps:
  • a² + b² = c²
  • 6² + 8² = 36 + 64 = 100.
  • c = √100 = 10 cm.
• Answer: 10 cm

[Medium] Slope Introduction

• EN: A line passes through points (2, 3) and (6, 11). What is the slope of the line?
• FR: Une droite passe par les points (2, 3) et (6, 11). Quelle est la pente de la droite?
• Choices: A) 1 B) 2 C) 3 D) 4
• Hint: Slope = (change in y) ÷ (change in x). From (1, 2) to (4, 8): slope = (8−2)÷(4−1) = 6÷3 = 2.
• Steps:
  • Change in y: 11 − 3 = 8.
  • Change in x: 6 − 2 = 4.
  • Slope = 8 ÷ 4 = 2.
• Answer: 2

[Medium] Two-Step Equation

• EN: Solve for x: 5x − 7 = 18
• FR: Résous pour x : 5x − 7 = 18
• Choices: A) x = 4 B) x = 5 C) x = 6 D) x = 7
• Hint: First add 7 to both sides, then divide: 4x − 5 = 15 → 4x = 20 → x = 5.
• Steps:
  • Add 7 to both sides: 5x = 25.
  • Divide by 5: x = 5.
  • The solution is x = 5.
• Answer: x = 5

[Medium] Percent Decrease

• EN: A snowboard was priced at $240.00. After a sale, the price decreased by 15%. What is the sale price?
• FR: Une planche à neige était à 240,00 $. Après une vente, le prix a diminué de 15 %. Quel est le prix de vente?
• Choices: A) $192.00 B) $200.00 C) $204.00 D) $216.00
• Hint: Decrease = original × percent; sale price = original − decrease. $100 − 20% = $100 − $20 = $80.
• Steps:
  • 15% of $240 = $240 × 0.15 = $36.
  • Sale price = $240 − $36 = $204.
  • The sale price is $204.00.
• Answer: $204.00

[Hard] Pythagorean Theorem Applied

• EN: A 13 m ladder leans against a wall. The base of the ladder is 5 m from the wall. How high up the wall does the ladder reach?
• FR: Une échelle de 13 m s'appuie contre un mur. La base de l'échelle est à 5 m du mur. À quelle hauteur l'échelle atteint-elle le mur?
• Choices: A) 10 m B) 11 m C) 12 m D) 13 m
• Hint: a² + b² = c². Rearrange to find a missing leg: a² = c² − b². For c = 10, b = 6: a² = 100 − 36 = 64, a = 8.
• Steps:
  • The ladder is the hypotenuse: c = 13 m.
  • Base: b = 5 m.
  • Height: a² = 13² − 5² = 169 − 25 = 144.
  • a = √144 = 12 m.
• Answer: 12 m

[Hard] Median and Mode

• EN: The snowfall amounts (in cm) for 7 days were: 3, 8, 5, 8, 2, 6, 8. What are the median and mode?
• FR: Les quantités de neige (en cm) pour 7 jours étaient : 3, 8, 5, 8, 2, 6, 8. Quels sont la médiane et le mode?
• Choices: A) Median = 5 cm, Mode = 6 cm B) Median = 6 cm, Mode = 8 cm C) Median = 7 cm, Mode = 8 cm D) Median = 8 cm, Mode = 6 cm
• Hint: Sort the data first to find the median (middle value); mode is the most frequent value. For 1, 3, 3, 5, 7: median = 3, mode = 3.
• Steps:
  • Sort the data: 2, 3, 5, 6, 8, 8, 8.
  • Median: the middle (4th) value = 6 cm.
  • Mode: the most frequent value = 8 cm (appears 3 times).
• Answer: Median = 6 cm, Mode = 8 cm

[Easy] Solving a Linear Equation

• EN: Solve for x: 3x − 4 = 14
• FR: Résous pour x : 3x − 4 = 14
• Choices: A) x = 4 B) x = 5 C) x = 6 D) x = 7
• Hint: Add 4 to both sides, then divide: 2x − 3 = 7 → 2x = 10 → x = 5.
• Steps:
  • Add 4 to both sides: 3x = 18.
  • Divide both sides by 3: x = 6.
  • The solution is x = 6.
• Answer: x = 6

[Easy] Graphing Lines — y-intercept

• EN: In the equation y = 2x + 5, what is the y-intercept?
• FR: Dans l'équation y = 2x + 5, quel est l'ordonnée à l'origine?
• Choices: A) 2 B) 3 C) 5 D) 7
• Hint: In y = mx + b, the y-intercept is b, the constant term. For y = 3x + 7, the y-intercept is 7.
• Steps:
  • The equation is in slope-intercept form: y = mx + b.
  • In y = 2x + 5, m = 2 and b = 5.
  • The y-intercept is 5.
• Answer: 5

[Easy] Adding Polynomials

• EN: Simplify: (3x + 5) + (2x − 3)
• FR: Simplifie : (3x + 5) + (2x − 3)
• Choices: A) 4x + 2 B) 5x + 2 C) 5x + 8 D) 6x + 2
• Hint: Combine like terms separately: (2x + 4) + (3x − 1) = (2x + 3x) + (4 − 1) = 5x + 3.
• Steps:
  • Combine x terms: 3x + 2x = 5x.
  • Combine constants: 5 + (−3) = 2.
  • Result: 5x + 2.
• Answer: 5x + 2

[Easy] SOH-CAH-TOA — Introduction

• EN: In a right triangle, the side opposite a 30° angle is 5 cm, and the hypotenuse is 10 cm. Which ratio equals sin(30°)?
• FR: Dans un triangle rectangle, le côté opposé à un angle de 30° mesure 5 cm et l'hypoténuse 10 cm. Quel rapport est égal à sin(30°)?
• Choices: A) 5/10 B) 10/5 C) 5/8 D) 8/10
• Hint: SOH: sin(angle) = Opposite ÷ Hypotenuse. For a 45° angle with opposite = 7 and hypotenuse = 10, sin(45°) = 7/10.
• Steps:
  • SOH: sin = Opposite ÷ Hypotenuse.
  • Opposite = 5 cm, Hypotenuse = 10 cm.
  • sin(30°) = 5/10.
• Answer: 5/10

[Medium] Solving a Linear Inequality

• EN: Solve: 4x − 2 > 10
• FR: Résous : 4x − 2 > 10
• Choices: A) x > 2 B) x > 3 C) x > 4 D) x > 5
• Hint: Solve like an equation, but keep the inequality sign: 3x − 1 > 8 → 3x > 9 → x > 3.
• Steps:
  • Add 2 to both sides: 4x > 12.
  • Divide by 4: x > 3.
  • The solution is x > 3.
• Answer: x > 3

[Medium] Multiplying Polynomials

• EN: Expand and simplify: (x + 3)(x + 5)
• FR: Développe et simplifie : (x + 3)(x + 5)
• Choices: A) x² + 7x + 15 B) x² + 8x + 15 C) x² + 8x + 8 D) x² + 15x + 8
• Hint: Use FOIL: (x + 2)(x + 4) = x² + 4x + 2x + 8 = x² + 6x + 8.
• Steps:
  • First: x × x = x².
  • Outer + Inner: x × 5 + 3 × x = 5x + 3x = 8x.
  • Last: 3 × 5 = 15.
  • Result: x² + 8x + 15.
• Answer: x² + 8x + 15

[Medium] Similar Triangles

• EN: Two similar triangles have corresponding sides in the ratio 3:5. The shorter triangle has a base of 9 cm. What is the base of the larger triangle?
• FR: Deux triangles semblables ont des côtés correspondants dans le rapport 3:5. Le plus petit triangle a une base de 9 cm. Quelle est la base du plus grand triangle?
• Choices: A) 12 cm B) 13 cm C) 15 cm D) 18 cm
• Hint: Set up a proportion: 2/5 = 4/x → x = 4 × 5 ÷ 2 = 10.
• Steps:
  • The ratio is 3:5, so set up: 3/5 = 9/x.
  • Cross-multiply: 3x = 45.
  • x = 15 cm.
• Answer: 15 cm

[Medium] Graphing Lines — Slope

• EN: What is the slope of the line passing through (0, 2) and (4, 10)?
• FR: Quelle est la pente de la droite passant par (0, 2) et (4, 10)?
• Choices: A) 1 B) 2 C) 3 D) 4
• Hint: Slope = rise ÷ run = (y₂ − y₁) ÷ (x₂ − x₁). From (0, 1) to (3, 7): slope = (7−1)÷(3−0) = 6÷3 = 2.
• Steps:
  • Rise: 10 − 2 = 8.
  • Run: 4 − 0 = 4.
  • Slope = 8 ÷ 4 = 2.
• Answer: 2

[Hard] Trigonometry — Finding a Side

• EN: In a right triangle, one angle is 40°, and the hypotenuse is 20 cm. What is the length of the side opposite the 40° angle? (Use sin 40° ≈ 0.643)
• FR: Dans un triangle rectangle, un angle est de 40° et l'hypoténuse est de 20 cm. Quelle est la longueur du côté opposé à l'angle de 40°? (Utilise sin 40° ≈ 0,643)
• Choices: A) 11.6 cm B) 12.5 cm C) 12.86 cm D) 14.2 cm
• Hint: SOH: sin(angle) = opposite ÷ hypotenuse, so opposite = hypotenuse × sin(angle). For sin 30° = 0.5 and hyp = 10: opposite = 10 × 0.5 = 5.
• Steps:
  • sin(40°) = opposite ÷ hypotenuse.
  • opposite = 20 × sin(40°) = 20 × 0.643 = 12.86 cm.
  • The opposite side is 12.86 cm.
• Answer: 12.86 cm

[Hard] Systems Thinking — Substitution

• EN: Two friends have a combined age of 30. One is twice as old as the other. How old is the younger friend?
• FR: Deux amis ont un âge combiné de 30 ans. L'un est deux fois plus âgé que l'autre. Quel est l'âge du plus jeune ami?
• Choices: A) 8 years old B) 9 years old C) 10 years old D) 12 years old
• Hint: Let the younger = y and the older = 2y. Then y + 2y = total. For a total of 24: 3y = 24, y = 8.
• Steps:
  • Let the younger friend's age = y. The older = 2y.
  • y + 2y = 30 → 3y = 30.
  • y = 10.
  • The younger friend is 10 years old.
• Answer: 10 years old

[Easy] Factoring a Quadratic

• EN: Factor the expression: x² + 7x + 12
• FR: Factorise l'expression : x² + 7x + 12
• Choices: A) (x + 2)(x + 6) B) (x + 3)(x + 4) C) (x + 1)(x + 12) D) (x + 4)(x + 8)
• Hint: Find two numbers that multiply to the constant and add to the middle coefficient. For x² + 5x + 6: 2 × 3 = 6 and 2 + 3 = 5, so (x + 2)(x + 3).
• Steps:
  • Find two numbers that multiply to 12 and add to 7.
  • 3 × 4 = 12 and 3 + 4 = 7.
  • x² + 7x + 12 = (x + 3)(x + 4).
• Answer: (x + 3)(x + 4)

[Easy] Trigonometry — cos Ratio

• EN: In a right triangle, the side adjacent to a 60° angle is 4 cm and the hypotenuse is 8 cm. What is cos(60°)?
• FR: Dans un triangle rectangle, le côté adjacent à un angle de 60° mesure 4 cm et l'hypoténuse 8 cm. Quel est cos(60°)?
• Choices: A) 1/4 B) 1/3 C) 1/2 D) 2/3
• Hint: CAH: cos(angle) = adjacent ÷ hypotenuse. For adjacent = 5, hypotenuse = 10, cos = 5/10 = 1/2.
• Steps:
  • CAH: cos = adjacent ÷ hypotenuse.
  • cos(60°) = 4 ÷ 8 = 1/2.
  • The answer is 1/2.
• Answer: 1/2

[Easy] System of Equations — Simple

• EN: Solve the system: y = 2x and x + y = 12
• FR: Résous le système : y = 2x et x + y = 12
• Choices: A) x = 3, y = 6 B) x = 4, y = 8 C) x = 5, y = 10 D) x = 6, y = 12
• Hint: Substitute the first equation into the second. If y = 3x and x + y = 8, then x + 3x = 8, 4x = 8, x = 2, y = 6.
• Steps:
  • Substitute y = 2x into x + y = 12: x + 2x = 12.
  • 3x = 12, so x = 4.
  • y = 2(4) = 8.
• Answer: x = 4, y = 8

[Easy] Volume of a Cylinder

• EN: A cylindrical can has a radius of 5 cm and a height of 10 cm. What is its volume? (Use π ≈ 3.14)
• FR: Une boîte cylindrique a un rayon de 5 cm et une hauteur de 10 cm. Quel est son volume? (Utilise π ≈ 3,14)
• Choices: A) 628 cm³ B) 750 cm³ C) 785 cm³ D) 942 cm³
• Hint: Volume of cylinder = π × r² × h. For r = 3, h = 4: V = 3.14 × 9 × 4 ≈ 113 cm³.
• Steps:
  • V = π × r² × h.
  • V = 3.14 × 5² × 10 = 3.14 × 25 × 10.
  • V = 3.14 × 250 = 785 cm³.
• Answer: 785 cm³

[Medium] Solving a Quadratic by Factoring

• EN: Solve for x: x² − 5x + 6 = 0
• FR: Résous pour x : x² − 5x + 6 = 0
• Choices: A) x = 1 or x = 6 B) x = 2 or x = 3 C) x = 3 or x = 4 D) x = 2 or x = 4
• Hint: Factor to find roots: x² − 7x + 12 = (x − 3)(x − 4) = 0, so x = 3 or x = 4.
• Steps:
  • Factor: x² − 5x + 6 = (x − 2)(x − 3) = 0.
  • Set each factor to zero: x − 2 = 0 or x − 3 = 0.
  • x = 2 or x = 3.
• Answer: x = 2 or x = 3

[Medium] Circle Geometry — Arc Length

• EN: A circle has a radius of 6 cm. What is the circumference? (Use π ≈ 3.14)
• FR: Un cercle a un rayon de 6 cm. Quelle est sa circonférence? (Utilise π ≈ 3,14)
• Choices: A) 34.54 cm B) 37.68 cm C) 39.25 cm D) 43.12 cm
• Hint: Circumference = 2 × π × r. For r = 5: C = 2 × 3.14 × 5 = 31.4 cm.
• Steps:
  • C = 2 × π × r.
  • C = 2 × 3.14 × 6 = 6.28 × 6.
  • C = 37.68 cm.
• Answer: 37.68 cm

[Medium] Completing the Square

• EN: Rewrite x² + 6x + 5 in the form (x + p)² + q. What are the values of p and q?
• FR: Réécris x² + 6x + 5 sous la forme (x + p)² + q. Quelles sont les valeurs de p et q?
• Choices: A) p = 2, q = 1 B) p = 3, q = −4 C) p = 3, q = 4 D) p = 6, q = 5
• Hint: Complete the square: x² + 4x + 3 → (x + 2)² − 4 + 3 = (x + 2)² − 1, so p = 2, q = −1.
• Steps:
  • Take half of the coefficient of x: 6 ÷ 2 = 3.
  • (x + 3)² = x² + 6x + 9.
  • x² + 6x + 5 = (x + 3)² − 9 + 5 = (x + 3)² − 4.
  • So p = 3 and q = −4.
• Answer: p = 3, q = −4

[Medium] Surface Area of a Cone

• EN: A cone has a radius of 4 cm and a slant height of 10 cm. What is the total surface area? (Use π ≈ 3.14)
• FR: Un cône a un rayon de 4 cm et une hauteur oblique de 10 cm. Quelle est la superficie totale? (Utilise π ≈ 3,14)
• Choices: A) 163.28 cm² B) 175.84 cm² C) 184.00 cm² D) 200.96 cm²
• Hint: Total surface area of cone = πrl + πr², where l is slant height. For r = 3, l = 5: SA = 3.14 × 3 × 5 + 3.14 × 9 = 47.1 + 28.26 = 75.36 cm².
• Steps:
  • Lateral area = π × r × l = 3.14 × 4 × 10 = 125.6 cm².
  • Base area = π × r² = 3.14 × 16 = 50.24 cm².
  • Total = 125.6 + 50.24 = 175.84 cm².
• Answer: 175.84 cm²

[Hard] Quadratic Formula

• EN: Solve using the quadratic formula: 2x² − 4x − 6 = 0
• FR: Résous à l'aide de la formule quadratique : 2x² − 4x − 6 = 0
• Choices: A) x = −1 or x = 2 B) x = −1 or x = 3 C) x = 1 or x = −3 D) x = 2 or x = 3
• Hint: Quadratic formula: x = (−b ± √(b² − 4ac)) ÷ (2a). For x² − x − 2 = 0: a=1, b=−1, c=−2; discriminant = 1 + 8 = 9; x = (1 ± 3) ÷ 2 = 2 or −1.
• Steps:
  • Divide everything by 2: x² − 2x − 3 = 0.
  • Factor: (x − 3)(x + 1) = 0.
  • x = 3 or x = −1.
• Answer: x = −1 or x = 3

[Hard] Systems of Equations — Elimination

• EN: Solve the system: 3x + 2y = 16 and x − y = 2
• FR: Résous le système : 3x + 2y = 16 et x − y = 2
• Choices: A) x = 3, y = 2 B) x = 4, y = 2 C) x = 5, y = 1 D) x = 6, y = 3
• Hint: From the second equation, express x = y + 2, then substitute into the first: 3(y + 2) + 2y = 16, 5y = 10, y = 2, x = 4.
• Steps:
  • From x − y = 2: x = y + 2.
  • Substitute: 3(y + 2) + 2y = 16 → 3y + 6 + 2y = 16 → 5y = 10 → y = 2.
  • x = 2 + 2 = 4.
• Answer: x = 4, y = 2

[Easy] Exponential Function — Evaluating

• EN: If f(x) = 3^x, what is f(4)?
• FR: Si f(x) = 3^x, quelle est la valeur de f(4)?
• Choices: A) 12 B) 64 C) 81 D) 243
• Hint: 2^5 means 2 × 2 × 2 × 2 × 2 = 32. Evaluate step by step.
• Steps:
  • f(4) = 3^4 = 3 × 3 × 3 × 3.
  • 3 × 3 = 9, 9 × 3 = 27, 27 × 3 = 81.
  • f(4) = 81.
• Answer: 81

[Easy] Introduction to Logarithms

• EN: What is log₂(32)?
• FR: Combien font log₂(32)?
• Choices: A) 4 B) 5 C) 6 D) 16
• Hint: log_b(x) asks "to what power must b be raised to get x?" log₃(27) = 3 because 3³ = 27.
• Steps:
  • log₂(32) asks: 2 to what power equals 32?
  • 2¹ = 2, 2² = 4, 2³ = 8, 2⁴ = 16, 2⁵ = 32.
  • log₂(32) = 5.
• Answer: 5

[Easy] Arithmetic Sequence — Common Difference

• EN: In the arithmetic sequence 4, 9, 14, 19, ..., what is the common difference?
• FR: Dans la suite arithmétique 4, 9, 14, 19, ..., quelle est la raison commune?
• Choices: A) 3 B) 4 C) 5 D) 6
• Hint: The common difference is found by subtracting any term from the next: in 7, 10, 13, 16, the difference is 10 − 7 = 3.
• Steps:
  • Subtract consecutive terms: 9 − 4 = 5, 14 − 9 = 5, 19 − 14 = 5.
  • The common difference is constant at 5.
  • The common difference is 5.
• Answer: 5

[Easy] Compound Interest — One Period

• EN: $500 is invested at an annual interest rate of 6% compounded yearly. What is the amount after 1 year?
• FR: 500 $ sont investis à un taux d'intérêt annuel de 6 %, composé annuellement. Quel est le montant après 1 an?
• Choices: A) $506.00 B) $524.00 C) $530.00 D) $560.00
• Hint: After 1 year, A = P(1 + r) = 800 × 1.04 = $832 for P = $800, r = 4%.
• Steps:
  • A = P(1 + r)^t.
  • A = 500 × (1 + 0.06)^1 = 500 × 1.06.
  • A = $530.00.
• Answer: $530.00

[Medium] Quadratic Function — Vertex

• EN: What is the vertex of the parabola y = (x − 3)² + 7?
• FR: Quel est le sommet de la parabole y = (x − 3)² + 7?
• Choices: A) (−3, 7) B) (3, −7) C) (3, 7) D) (7, 3)
• Hint: In vertex form y = (x − h)² + k, the vertex is at (h, k). For y = (x − 2)² + 5, the vertex is (2, 5).
• Steps:
  • The equation is in vertex form: y = (x − h)² + k.
  • Here h = 3 and k = 7.
  • The vertex is (3, 7).
• Answer: (3, 7)

[Medium] Geometric Sequence — General Term

• EN: A geometric sequence starts at 2 and has a common ratio of 3. What is the 5th term?
• FR: Une suite géométrique commence à 2 et a une raison commune de 3. Quel est le 5e terme?
• Choices: A) 54 B) 96 C) 162 D) 486
• Hint: General term of geometric sequence: aₙ = a₁ × r^(n−1). For a₁ = 4, r = 2, the 4th term = 4 × 2³ = 32.
• Steps:
  • aₙ = a₁ × r^(n−1).
  • a₅ = 2 × 3^(5−1) = 2 × 3⁴.
  • 3⁴ = 81, so a₅ = 2 × 81 = 162.
• Answer: 162

[Medium] Compound Interest — Multiple Years

• EN: $1000 is invested at 5% per year, compounded annually. What is the amount after 3 years?
• FR: 1 000 $ sont investis à 5 % par an, composé annuellement. Quel est le montant après 3 ans?
• Choices: A) $1 100.00 B) $1 150.00 C) $1 157.63 D) $1 200.00
• Hint: A = P(1 + r)^t. For $500 at 4% for 2 years: A = 500 × 1.04² = 500 × 1.0816 = $540.80.
• Steps:
  • A = 1000 × (1.05)^3.
  • 1.05² = 1.1025; 1.1025 × 1.05 = 1.157625.
  • A = 1000 × 1.157625 = $1 157.63.
• Answer: $1 157.63

[Medium] Trig Identity — Pythagorean

• EN: If sin(θ) = 3/5, what is cos(θ)? (Assume θ is in the first quadrant.)
• FR: Si sin(θ) = 3/5, quelle est la valeur de cos(θ)? (Suppose que θ est dans le premier quadrant.)
• Choices: A) 3/5 B) 4/5 C) 5/3 D) 5/4
• Hint: Use the identity sin²(θ) + cos²(θ) = 1. If sin(θ) = 1/2, then cos²(θ) = 1 − 1/4 = 3/4, so cos(θ) = √3/2.
• Steps:
  • sin²(θ) + cos²(θ) = 1.
  • (3/5)² + cos²(θ) = 1 → 9/25 + cos²(θ) = 1.
  • cos²(θ) = 16/25, cos(θ) = 4/5.
• Answer: 4/5

[Hard] Sum of Arithmetic Series

• EN: Find the sum of the first 20 terms of the arithmetic series: 5, 8, 11, 14, ...
• FR: Trouve la somme des 20 premiers termes de la suite arithmétique : 5, 8, 11, 14, ...
• Choices: A) 650 B) 670 C) 710 D) 730
• Hint: Sₙ = n/2 × (2a₁ + (n−1)d). For 10 terms of 2, 5, 8: S₁₀ = 10/2 × (4 + 27) = 5 × 31 = 155.
• Steps:
  • a₁ = 5, d = 3, n = 20.
  • Sₙ = n/2 × (2a₁ + (n−1)d) = 20/2 × (2×5 + 19×3).
  • = 10 × (10 + 57) = 10 × 67 = 670.
• Answer: 670

[Hard] Logarithm Laws

• EN: Simplify: log₃(27) + log₃(9)
• FR: Simplifie : log₃(27) + log₃(9)
• Choices: A) 4 B) 5 C) 6 D) 9
• Hint: logb(x) + logb(y) = log_b(xy). Also, log₂(8) = 3 and log₂(4) = 2, so log₂(8) + log₂(4) = log₂(32) = 5.
• Steps:
  • log₃(27) = 3 (since 3³ = 27).
  • log₃(9) = 2 (since 3² = 9).
  • 3 + 2 = 5.
• Answer: 5

[Easy] Permutations — Simple

• EN: In how many ways can 4 students line up in a row?
• FR: De combien de façons 4 élèves peuvent-ils se mettre en rang?
• Choices: A) 16 B) 20 C) 24 D) 48
• Hint: The number of ways to arrange n objects = n! For 3 students: 3! = 3 × 2 × 1 = 6 ways.
• Steps:
  • Number of arrangements = 4! = 4 × 3 × 2 × 1.
  • 4 × 3 = 12, 12 × 2 = 24, 24 × 1 = 24.
  • There are 24 ways.
• Answer: 24

[Easy] Combinations — Simple

• EN: A student must choose 2 toppings for a pizza from a list of 5 options. How many different combinations are possible?
• FR: Un élève doit choisir 2 garnitures pour une pizza parmi 5 options. Combien de combinaisons différentes sont possibles?
• Choices: A) 8 B) 10 C) 12 D) 20
• Hint: C(n, r) = n! ÷ (r! × (n−r)!). For choosing 2 from 4: C(4,2) = 4!÷(2!×2!) = 24÷4 = 6.
• Steps:
  • C(5, 2) = 5! ÷ (2! × 3!) = (5 × 4) ÷ (2 × 1).
  • = 20 ÷ 2 = 10.
  • There are 10 combinations.
• Answer: 10

[Easy] Derivative — Power Rule Intro

• EN: Using the power rule, what is the derivative of f(x) = x³?
• FR: En utilisant la règle de puissance, quelle est la dérivée de f(x) = x³?
• Choices: A) x² B) 2x² C) 3x² D) 3x³
• Hint: Power rule: if f(x) = xⁿ, then f'(x) = n × x^(n−1). For f(x) = x⁴, f'(x) = 4x³.
• Steps:
  • Apply the power rule: bring the exponent down and subtract 1.
  • f'(x) = 3 × x^(3−1) = 3x².
  • The derivative is 3x².
• Answer: 3x²

[Easy] Binomial Distribution — Probability

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

[Medium] Rational Function — Asymptote

• EN: What is the vertical asymptote of the function f(x) = 1/(x − 5)?
• FR: Quel est l'asymptote vertical de la fonction f(x) = 1/(x − 5)?
• Choices: A) x = −5 B) x = 0 C) x = 1 D) x = 5
• Hint: A vertical asymptote occurs where the denominator equals zero. For f(x) = 1/(x + 3), set x + 3 = 0, so x = −3.
• Steps:
  • Set the denominator equal to zero: x − 5 = 0.
  • x = 5.
  • The vertical asymptote is x = 5.
• Answer: x = 5

[Medium] Vector 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). Quel est u + v?
• Choices: A) (1, 8) B) (2, 10) C) (3, 10) D) (4, 10)
• Hint: Add vectors component by component: (2, 5) + (3, −1) = (2+3, 5+(−1)) = (5, 4).
• Steps:
  • Add x-components: 3 + (−1) = 2.
  • Add y-components: 4 + 6 = 10.
  • u + v = (2, 10).
• Answer: (2, 10)

[Medium] Derivative — Rate of Change

• EN: If f(x) = 4x² − 3x + 1, what is f'(x)?
• FR: Si f(x) = 4x² − 3x + 1, quelle est f'(x)?
• Choices: A) 4x − 3 B) 8x + 3 C) 8x − 3 D) 8x − 1
• Hint: Differentiate each term using the power rule: for 5x² − 2x + 7, f'(x) = 10x − 2.
• Steps:
  • Differentiate 4x²: 2 × 4x^(2−1) = 8x.
  • Differentiate −3x: −3.
  • Differentiate constant 1: 0.
  • f'(x) = 8x − 3.
• Answer: 8x − 3

[Medium] Permutations with Restriction

• EN: How many 3-letter arrangements can be made from the letters A, B, C, D, and E if no letter can be repeated?
• FR: Combien d'arrangements de 3 lettres peut-on faire avec les lettres A, B, C, D et E si aucune lettre ne peut être répétée?
• Choices: A) 30 B) 45 C) 60 D) 120
• Hint: P(n, r) = n! ÷ (n−r)! For choosing 2 from 4 letters: P(4,2) = 4!÷2! = 12.
• Steps:
  • P(5, 3) = 5! ÷ (5−3)! = 5! ÷ 2!.
  • = (5 × 4 × 3 × 2 × 1) ÷ (2 × 1) = 120 ÷ 2 = 60.
  • There are 60 arrangements.
• Answer: 60

[Hard] Derivative — Applied Problem

• EN: The position of a hockey puck is given by s(t) = 3t² + 2t + 1 metres, where t is in seconds. What is the velocity (derivative) at t = 4 seconds?
• FR: La position d'une rondelle de hockey est donnée par s(t) = 3t² + 2t + 1 mètres, où t est en secondes. Quelle est la vitesse (dérivée) à t = 4 secondes?
• Choices: A) 24 m/s B) 26 m/s C) 28 m/s D) 32 m/s
• Hint: Find s'(t) using the power rule, then substitute the value of t. For p(t) = 2t² + t, p'(t) = 4t + 1, so at t = 3: p'(3) = 13 m/s.
• Steps:
  • s'(t) = 6t + 2 (using the power rule).
  • Substitute t = 4: s'(4) = 6(4) + 2 = 24 + 2.
  • s'(4) = 26 m/s.
• Answer: 26 m/s

[Hard] Normal Distribution — Z-score

• EN: Test scores are normally distributed with a mean of 75 and a standard deviation of 10. What is the z-score for a student who scored 95?
• FR: Les résultats d'un test suivent une distribution normale avec une moyenne de 75 et un écart-type de 10. Quel est le score z d'un élève qui a obtenu 95?
• Choices: A) 1.5 B) 1.8 C) 2.0 D) 2.5
• Hint: z = (x − μ) ÷ σ. For x = 85, mean = 70, sd = 10: z = (85 − 70) ÷ 10 = 1.5.
• Steps:
  • z = (x − μ) ÷ σ.
  • z = (95 − 75) ÷ 10 = 20 ÷ 10.
  • z = 2.0.
• Answer: 2.0