Daily Math — 2026-10-13

[Easy] Counting Candies

• EN: If you have 8 candies and get 5 more, how many candies do you have?
• FR: Si tu as 8 bonbons et que tu en reçois 5 de plus, combien as-tu de bonbons?
• Choices: A) 12 B) 13 C) 14 D) 15
• Hint: Add 3 and 2 to find out how many you have.
• Steps:
  • Start with 8 candies.
  • Add 5 more candies: 8 + 5 = 13.
• Answer: 13

[Easy] Subtraction Practice

• EN: What is 16 minus 7?
• FR: Que font 16 moins 7?
• Choices: A) 8 B) 9 C) 10 D) 7
• Hint: Subtract 5 from 10.
• Steps:
  • Start with 16.
  • Subtract 7: 16 - 7 = 9.
• Answer: 9

[Easy] Skip Counting by 5s

• EN: What number comes after 15 when you skip count by 5s?
• FR: Quel nombre vient après 15 quand tu comptes par 5?
• Choices: A) 18 B) 19 C) 20 D) 21
• Hint: Add 5 to 10.
• Steps:
  • Start with 15.
  • Add 5: 15 + 5 = 20.
• Answer: 20

[Easy] Comparing Numbers

• EN: Which is larger: 18 or 14?
• FR: Quel nombre est plus grand: 18 ou 14?
• Choices: A) 18 B) 14
• Hint: Is 10 larger than 8?
• Steps:
  • Compare 18 and 14.
  • 18 is greater than 14.
• Answer: 18

[Medium] Simple Addition

• EN: Add 9 and 7.
• FR: Additionne 9 et 7.
• Choices: A) 15 B) 16 C) 17 D) 18
• Hint: Add 9 and 6 first.
• Steps:
  • Start with 9.
  • Add 7: 9 + 7 = 16.
• Answer: 16

[Medium] Easy Subtraction

• EN: What is 20 minus 12?
• FR: Que font 20 moins 12?
• Choices: A) 8 B) 7 C) 9 D) 10
• Hint: Start with 20 and count back 10.
• Steps:
  • Start with 20.
  • Subtract 12: 20 - 12 = 8.
• Answer: 8

[Medium] Counting Nickels

• EN: How much are 4 nickels worth?
• FR: Combien valent 4 pièces de cinq cents?
• Choices: A) 15 cents B) 20 cents C) 25 cents D) 30 cents
• Hint: Each nickel is 5 cents. Multiply by 4.
• Steps:
  • Each nickel is worth 5 cents.
  • Multiply 5 by 4: 5 x 4 = 20.
• Answer: 20 cents

[Medium] Comparing Two Numbers

• EN: Which number is smaller: 22 or 17?
• FR: Quel nombre est plus petit: 22 ou 17?
• Choices: A) 17 B) 22
• Hint: Is 7 less than 10?
• Steps:
  • Compare 22 and 17.
  • 17 is smaller than 22.
• Answer: 17

[Hard] Counting Coins

• EN: You have 3 nickels, 4 dimes, and 2 pennies. How much money do you have?
• FR: Tu as 3 pièces de cinq cents, 4 pièces de dix cents et 2 sous. Combien d'argent as-tu?
• Choices: A) 52 cents B) 57 cents C) 65 cents D) 67 cents
• Hint: Add values of each type of coin separately.
• Steps:
  • Nickels: 3 x 5 = 15 cents.
  • Dimes: 4 x 10 = 40 cents.
  • Pennies: 2 x 1 = 2 cents.
  • Total: 15 + 40 + 2 = 57 cents.
• Answer: 57 cents

[Hard] Skip Counting to Find Total

• EN: If you skip count by 10s starting from 5, what number will you reach on the fourth count?
• FR: Si tu comptes en sautant de 10 en partant de 5, à quel nombre arriveras-tu au quatrième saut?
• Choices: A) 35 B) 45 C) 40 D) 50
• Hint: Add 10 each time starting from 5.
• Steps:
  • Start with 5.
  • Count by 10s: 5 + 10 = 15, 15 + 10 = 25, 25 + 10 = 35, 35 + 10 = 45.
• Answer: 45

[Easy] Addition to 100

• EN: What is 53 plus 27?
• FR: Que font 53 plus 27?
• Choices: A) 70 B) 80 C) 90 D) 100
• Hint: Add 50 and 20 first.
• Steps:
  • Add tens first: 50 + 20 = 70.
  • Add units: 3 + 7 = 10, then 70 + 10 = 80.
• Answer: 80

[Easy] Subtracting Numbers

• EN: Subtract 32 from 77.
• FR: Soustrais 32 de 77.
• Choices: A) 45 B) 43 C) 47 D) 49
• Hint: Subtract 30 from 77 first.
• Steps:
  • Subtract tens: 77 - 30 = 47.
  • Subtract units: 47 - 2 = 45.
• Answer: 45

[Easy] Telling Time

• EN: If the clock shows 3:00, what time will it be in two hours?
• FR: Si l'horloge affiche 3h00, quelle heure sera-t-il dans deux heures?
• Choices: A) 4:00 B) 5:00 C) 6:00 D) 7:00
• Hint: Add 2 hours to the time.
• Steps:
  • Start at 3:00.
  • Add 2 hours: 3 + 2 = 5.
• Answer: 5:00

[Easy] Patterns with Numbers

• EN: What number completes this pattern: 2, 4, 6, __?
• FR: Quel nombre complète ce modèle: 2, 4, 6, __?
• Choices: A) 7 B) 8 C) 9 D) 10
• Hint: Continue adding 2.
• Steps:
  • Continue the pattern by adding 2: 6 + 2 = 8.
• Answer: 8

[Medium] More Coin Calculation

• EN: You have 3 dimes and 5 nickels. How much money altogether?
• FR: Tu as 3 pièces de dix cents et 5 pièces de cinq cents. Combien d'argent en tout?
• Choices: A) 45 cents B) 50 cents C) 55 cents D) 60 cents
• Hint: Add dimes and nickels separately.
• Steps:
  • Dimes: 3 x 10 = 30 cents.
  • Nickels: 5 x 5 = 25 cents.
  • Total: 30 + 25 = 55 cents.
• Answer: 55 cents

[Medium] Measuring Length

• EN: How many centimeters are in 5 meters?
• FR: Combien de centimètres y a-t-il dans 5 mètres?
• Choices: A) 500 cm B) 400 cm C) 300 cm D) 450 cm
• Hint: 1 meter equals 100 centimeters.
• Steps:
  • Convert meters to centimeters: 5 x 100 = 500.
• Answer: 500 cm

[Medium] Simple Patterns

• EN: What comes next in the pattern: Red, Blue, Red, Blue, ___?
• FR: Quel est le prochain élément dans ce modèle : Rouge, Bleu, Rouge, Bleu, ___?
• Choices: A) Red B) Blue C) Yellow D) Green
• Hint: Follow the color sequence.
• Steps:
  • Continue the color pattern: after Blue comes Red.
• Answer: Red

[Medium] Coin Counting to $1

• EN: You have 4 quarters. How much money do you have in dollars?
• FR: Tu as 4 pièces de vingt-cinq cents. Combien d'argent as-tu en dollars?
• Choices: A) $0.75 B) $1.00 C) $1.25 D) $1.50
• Hint: 4 quarters make a dollar.
• Steps:
  • Each quarter is $0.25.
  • Multiply: 4 x 0.25 = $1.00.
• Answer: $1.00

[Hard] Solving Elapsed Time

• EN: If you start reading your book at 4:30 PM and read for 45 minutes, what time do you finish?
• FR: Si tu commences à lire ton livre à 16h30 et que tu lis pendant 45 minutes, à quelle heure finis-tu?
• Choices: A) 5:00 PM B) 5:15 PM C) 5:00 D) 5:45 PM
• Hint: Break the time into 30 minutes and then 15 minutes.
• Steps:
  • Start at 4:30 PM.
  • Add 30 minutes: 4:30 + 0:30 = 5:00 PM.
  • Add 15 minutes: 5:00 + 0:15 = 5:15 PM.
• Answer: 5:15 PM

[Hard] Comparing Lengths

• EN: Which is longer: 150 cm or 1.5 meters?
• FR: Quel est le plus long : 150 cm ou 1,5 mètre?
• Choices: A) 150 cm B) 1.5 meters C) They are the same D) 149 cm
• Hint: Convert 1.5 meters to centimeters.
• Steps:
  • Convert meters to centimeters: 1.5 meters = 150 cm.
  • Compare 150 cm to 150 cm; they are the same.
• Answer: They are the same

[Easy] Multiplication Challenge

• EN: What is 3 x 4?
• FR: Que font 3 x 4?
• Choices: A) 10 B) 11 C) 12 D) 13
• Hint: Multiply 2 by 2 first.
• Steps:
  • Think 3 times 4 means adding 3 four times: 3 + 3 + 3 + 3 = 12.
• Answer: 12

[Easy] Introduction to Division

• EN: Divide 20 by 4.
• FR: Divise 20 par 4.
• Choices: A) 4 B) 5 C) 6 D) 7
• Hint: How many 4s go into 20?
• Steps:
  • Count by 4s: 4, 8, 12, 16, 20.
  • That's 5 groups of 4.
• Answer: 5

[Easy] Simple Perimeter

• EN: What is the perimeter of a rectangle with sides 4 cm and 6 cm?
• FR: Quel est le périmètre d'un rectangle avec des côtés de 4 cm et 6 cm?
• Choices: A) 20 cm B) 18 cm C) 22 cm D) 24 cm
• Hint: Add all the sides.
• Steps:
  • Perimeter is 2 x width + 2 x height: 2 x 4 + 2 x 6 = 8 + 12 = 20 cm.
• Answer: 20 cm

[Easy] Simple Graph Reading

• EN: If a bar graph shows 5 apples, 7 bananas, and 3 grapes, which is the highest number?
• FR: Si un graphique à barres montre 5 pommes, 7 bananes et 3 raisins, quel est le plus grand nombre?
• Choices: A) Apples B) Bananas C) Grapes D) All are the same
• Hint: Compare the numbers.
• Steps:
  • Identify the numbers: 5, 7, and 3.
  • The highest is 7, which is Bananas.
• Answer: Bananas

[Medium] Finding the Missing Factor

• EN: What number multiplied by 5 gives 25?
• FR: Quel nombre multiplié par 5 donne 25?
• Choices: A) 4 B) 5 C) 6 D) 7
• Hint: Reverse the multiplication.
• Steps:
  • 25 divided by 5 equals 5.
• Answer: 5

[Medium] Fraction Practice

• EN: Which is larger: 1/2 or 1/3?
• FR: Quel est le plus grand : 1/2 ou 1/3?
• Choices: A) 1/2 B) 1/3
• Hint: Consider half of something versus third of the same.
• Steps:
  • Compare the size of the parts: 1/2 is greater than 1/3.
• Answer: 1/2

[Medium] Perimeter of a Triangle

• EN: What is the perimeter of a triangle with sides 5 cm, 7 cm, and 8 cm?
• FR: Quel est le périmètre d'un triangle avec des côtés de 5 cm, 7 cm et 8 cm?
• Choices: A) 19 cm B) 20 cm C) 21 cm D) 22 cm
• Hint: Add all three sides together.
• Steps:
  • Add the sides: 5 + 7 + 8 = 20 cm.
• Answer: 20 cm

[Medium] Division Introduced Again

• EN: Divide 45 by 9.
• FR: Divise 45 par 9.
• Choices: A) 4 B) 5 C) 6 D) 7
• Hint: How many 9s fit into 45?
• Steps:
  • Count multiples of 9: 9, 18, 27, 36, 45.
  • Five groups of 9 fit into 45.
• Answer: 5

[Hard] Solving a Word Problem

• EN: John has 3 packs of hockey cards. Each pack has 4 cards. How many cards in total?
• FR: John a 3 paquets de cartes de hockey. Chaque paquet contient 4 cartes. Combien de cartes en tout?
• Choices: A) 10 B) 11 C) 12 D) 13
• Hint: Multiply the number of packs by cards per pack.
• Steps:
  • 3 packs of 4 = 3 x 4 = 12 cards.
• Answer: 12

[Hard] Mixed Operations Practice

• EN: What is 3 x 4 - 5?
• FR: Que fait 3 x 4 - 5?
• Choices: A) 5 B) 6 C) 7 D) 8
• Hint: Do multiplication first, then subtract.
• Steps:
  • Multiply first: 3 x 4 = 12.
  • Then subtract 5: 12 - 5 = 7.
• Answer: 7

[Easy] Multiplication Practice

• EN: What is 7 x 6?
• FR: Que font 7 x 6?
• Choices: A) 42 B) 49 C) 56 D) 63
• Hint: 7 times 5 is 35.
• Steps:
  • Multiply: 7 x 6 = 7 x 5 + 7 = 35 + 7 = 42.
• Answer: 42

[Easy] Division with Remainders

• EN: What is 29 ÷ 4?
• FR: Que fait 29 ÷ 4?
• Choices: A) 9 remainder 1 B) 7 remainder 2 C) 8 remainder 1 D) 6 remainder 5
• Hint: 4 x 7 is less than 30.
• Steps:
  • 29 divided by 4: 7 times 4 is 28, remainder 1.
• Answer: 7 remainder 2

[Easy] Simple Decimal Addition

• EN: What is 0.4 + 0.5?
• FR: Que font 0,4 + 0,5?
• Choices: A) 0.7 B) 0.8 C) 0.9 D) 1.0
• Hint: Think of the decimals as money.
• Steps:
  • Add: 0.4 + 0.5 = 0.9.
• Answer: 0.9

[Easy] Weight of Bags

• EN: A bag full of sugar weighs 16 kg. A bag full of salt weighs 30 kg. If you remove 4 kg from the combined weight of these two bags, how much do the bags now weigh?
• FR: Un sac plein de sucre pèse 16 kg. Un sac plein de sel pèse 30 kg. Si vous retirez 4 kg du poids combiné de ces deux sacs, combien pèsent-ils maintenant ?
• Choices: A) 84 B) 38 C) 50 D) 42
• Hint: Check what unit the question wants, and convert if needed before doing the math.
• Steps:
  • The bags together weigh 16 + 30 = 46 kg.
  • Removing the 4 kg, the bags will weigh 46 - 4 = 42 kg.
• Answer: 42

[Medium] Area of a Rectangle

• EN: What is the area of a rectangle with width 4 cm and length 9 cm?
• FR: Quelle est la surface d’un rectangle de 4 cm de largeur et 9 cm de longueur?
• Choices: A) 32 cm² B) 35 cm² C) 36 cm² D) 40 cm²
• Hint: Area = width x length.
• Steps:
  • Multiply width by length: 4 x 9 = 36 cm².
• Answer: 36 cm²

[Medium] Elapsed Time Calculation

• EN: If you start homework at 5:15 PM and finish at 6:45 PM, how much time did you spend?
• FR: Si tu commences tes devoirs à 17h15 et finis à 18h45, combien de temps as-tu passé?
• Choices: A) 1 hour 15 minutes B) 1 hour 30 minutes C) 1 hour 45 minutes D) 2 hours
• Hint: Subtract start time from end time.
• Steps:
  • Start at 5:15 PM.
  • End at 6:45 PM.
  • Total time: 1 hour 30 minutes.
• Answer: 1 hour 30 minutes

[Medium] Finding Missing Factor Division

• EN: What number divided by 9 gives 36?
• FR: Quel nombre divisé par 9 donne 36?
• Choices: A) 324 B) 216 C) 198 D) 232
• Hint: Reverse division.
• Steps:
  • Multiply: 9 x 36 = 324.
• Answer: 324

[Medium] Word Problem with a Table

• EN: If Sarah buys 3 apples at $2 each and 2 bananas at $1 each, how much does she spend?
• FR: Si Sarah achète 3 pommes à 2 $ chaque et 2 bananes à 1 $ chaque, combien dépense-t-elle?
• Choices: A) $8 B) $9 C) $10 D) $11
• Hint: Multiply and add.
• Steps:
  • Apples cost: 3 x $2 = $6.
  • Bananas cost: 2 x $1 = $2.
  • Total: $6 + $2 = $8.
• Answer: $8

[Hard] Decimal Subtraction

• EN: What is 3.5 - 1.75?
• FR: Que font 3,5 - 1,75?
• Choices: A) 1.75 B) 1.85 C) 1.65 D) 1.95
• Hint: Think of subtracting money.
• Steps:
  • Subtract in decimals: 3.50 - 1.75 = 1.75.
• Answer: 1.75

[Hard] Fractions Made Easy

• EN: Solve: 4/8 + 1/2.
• FR: Résous : 4/8 + 1/2.
• Choices: A) 1 B) 7/8 C) 3/4 D) 5/8
• Hint: Make the denominators the same.
• Steps:
  • Both 4/8 and 1/2 equal 1/2.
  • 4/8 converted to 1/2: 1/2 + 1/2 = 1.
• Answer: 1

[Easy] Multi-Digit Multiplication

• EN: What is 23 x 4?
• FR: Que font 23 x 4?
• Choices: A) 82 B) 88 C) 92 D) 96
• Hint: Break into 20 x 4 and 3 x 4.
• Steps:
  • Multiply: 20 x 4 = 80 and 3 x 4 = 12, so 80 + 12 = 92.
• Answer: 92

[Easy] Simple Fraction Addition

• EN: What is 3/8 + 1/8?
• FR: Que font 3/8 + 1/8?
• Choices: A) 4/8 B) 5/8 C) 6/8 D) 7/8
• Hint: Add numerators, keep denominator.
• Steps:
  • 3/8 + 1/8 = (3 + 1)/8 = 4/8, which simplifies to 1/2.
• Answer: 4/8

[Easy] Adding Decimals

• EN: What is 2.5 + 3.8?
• FR: Que font 2,5 + 3,8?
• Choices: A) 6.1 B) 6.3 C) 6.5 D) 6.8
• Hint: Line up decimal points to add.
• Steps:
  • Add: 2.5 + 3.8 = 6.3.
• Answer: 6.3

[Easy] Total Tulips

• EN: Arwen and Elrond picked some flowers. Arwen was able to get 20 tulips and Elrond was able to get twice as many tulips as Arwen did. How many tulips were they able to get in total?
• FR: Arwen et Elrond ont cueilli des fleurs. Arwen a pu obtenir 20 tulipes et Elrond a pu obtenir deux fois plus de tulipes qu'Arwen. Combien de tulipes ont-ils obtenu au total ?
• Choices: A) 72 B) 30 C) 120 D) 60
• Hint: Read carefully to see if you need to add, subtract, or compare the amounts.
• Steps:
  • Elrond was able to get 20 x 2 = 40 tulips.
  • Therefore, the total number of tulips they were able to get is 40 + 20 = 60.
• Answer: 60

[Medium] Multi-Digit Division

• EN: What is 144 ÷ 12?
• FR: Que fait 144 ÷ 12?
• Choices: A) 10 B) 11 C) 12 D) 13
• Hint: 12 times what equals 120?
• Steps:
  • Divide: 144 ÷ 12 = 12.
• Answer: 12

[Medium] Volume of a Rectangular Prism

• EN: Calculate the volume of a prism with length 5 cm, width 3 cm, and height 4 cm.
• FR: Calcule le volume d'un prisme de 5 cm de long, 3 cm de large et 4 cm de haut.
• Choices: A) 50 cm³ B) 60 cm³ C) 70 cm³ D) 80 cm³
• Hint: Volume = length x width x height.
• Steps:
  • Calculate: 5 x 3 x 4 = 60 cm³.
• Answer: 60 cm³

[Medium] Table of Information Word Problem

• EN: Tim buys 5 pencils at $0.80 each and 3 erasers at $0.50 each. What is the total cost?
• FR: Tim achète 5 crayons à 0,80 $ chacun et 3 gommes à 0,50 $ chacune. Quel est le coût total?
• Choices: A) $5.50 B) $5.90 C) $6.00 D) $6.50
• Hint: Multiply and then add.
• Steps:
  • Pencils: 5 x $0.80 = $4.00.
  • Erasers: 3 x $0.50 = $1.50.
  • Total: $4.00 + $1.50 = $5.50.
• Answer: $5.50

[Medium] Finding a Missing Factor

• EN: What number times 18 gives 108?
• FR: Quel nombre multiplié par 18 donne 108?
• Choices: A) 5 B) 6 C) 7 D) 8
• Hint: Reverse multiplication.
• Steps:
  • 108 divided by 18 equals 6.
• Answer: 6

[Hard] Subtracting Fractions

• EN: Calculate: 5/6 - 1/6.
• FR: Calcule : 5/6 - 1/6.
• Choices: A) 3/6 B) 4/6 C) 2/6 D) 5/6
• Hint: Subtract numerators only.
• Steps:
  • 5/6 - 1/6 = (5 - 1)/6 = 4/6, which simplifies to 2/3.
• Answer: 4/6

[Hard] Word Problem with Decimals

• EN: Which costs more: 1.5 kg of apples at $3.20/kg or 2 kg of bananas at $2.50/kg?
• FR: Qu'est-ce qui coûte plus cher : 1,5 kg de pommes à 3,20 $/kg ou 2 kg de bananes à 2,50 $/kg?
• Choices: A) Apples B) Bananas C) Same cost D) Need more info
• Hint: Multiply to find total cost.
• Steps:
  • Apples: 1.5 x $3.20 = $4.80.
  • Bananas: 2 x $2.50 = $5.00.
• Answer: Bananas

[Easy] Multiply Fractions

• EN: What is 1/3 x 2/5?
• FR: Que fait 1/3 x 2/5?
• Choices: A) 1/15 B) 2/15 C) 3/15 D) 2/5
• Hint: Multiply numerators and denominators.
• Steps:
  • Multiply tops: 1 x 2 = 2.
  • Multiply bottoms: 3 x 5 = 15.
• Answer: 2/15

[Easy] Introduction to Ratios

• EN: What is the ratio of 5 apples to 10 oranges?
• FR: Quel est le ratio de 5 pommes à 10 oranges?
• Choices: A) 1:2 B) 1:3 C) 2:3 D) 1:5
• Hint: Write as fraction and simplify.
• Steps:
  • Ratio = 5:10 = 1:2 after simplification.
• Answer: 1:2

[Easy] Percent of a Number

• EN: What is 20% of 50?
• FR: Que font 20% de 50?
• Choices: A) 10 B) 15 C) 20 D) 25
• Hint: Find 10% first, then double.
• Steps:
  • 10% of 50 is 5, so 20% is 2 x 5 = 10.
• Answer: 10

[Easy] Introduction to Integers

• EN: What is -5 + 7?
• FR: Que fait -5 + 7?
• Choices: A) 1 B) 2 C) 3 D) 4
• Hint: Think of a number line.
• Steps:
  • Start at -5, move right 7: -5 + 7 = 2.
• Answer: 2

[Medium] Order of Operations

• EN: Solve: 3 + 5 x 2.
• FR: Résous : 3 + 5 x 2.
• Choices: A) 13 B) 16 C) 10 D) 14
• Hint: Do multiplication first.
• Steps:
  • First multiply: 5 x 2 = 10.
  • Then add: 3 + 10 = 13.
• Answer: 13

[Medium] Simple Algebraic Expressions

• EN: Solve for x in x + 4 = 7.
• FR: Résous pour x dans x + 4 = 7.
• Choices: A) x = 10 B) x = 3 C) x = 4 D) x = 5
• Hint: Subtract 4 from both sides.
• Steps:
  • x + 4 - 4 = 7 - 4.
  • So, x = 3.
• Answer: x = 3

[Medium] Ratios with Word Problems

• EN: If a recipe needs a ratio of 2 cups of sugar to 3 cups of flour, how much sugar for 6 cups of flour?
• FR: Si une recette nécessite un ratio de 2 tasses de sucre pour 3 tasses de farine, combien de sucre pour 6 tasses de farine?
• Choices: A) 2 cups B) 3 cups C) 4 cups D) 5 cups
• Hint: Double the amount.
• Steps:
  • The ratio is 2:3.
  • If flour is doubled to 6, sugar must also double: 4 cups.
• Answer: 4 cups

[Medium] Liters in Cans

• EN: There are 290 liters of oil in 24 cans. If 10 of the cans are holding 8 liters each, how much oil is each of the remaining cans holding?
• FR: Il y a 290 litres d'huile dans 24 bidons. Si 10 des bidons contiennent chacun 8 litres, combien d'huile les autres bidons contiennent-ils chacun ?
• Choices: A) 15 B) 10 C) 30 D) 12
• Hint: Check what unit the question wants, and convert if needed before doing the math.
• Steps:
  • 10 cans are holding 8 liters each for a total of 10 * 8 = 80 liters
  • There are 290 - 80 = 210 litres left
  • There are 24 - 10 =14 cans left
  • Each of the remaining cans is holding 210 / 14 = 15 liters each
• Answer: 15

[Hard] Divide Fractions

• EN: What is 3/4 ÷ 1/2?
• FR: Que fait 3/4 ÷ 1/2?
• Choices: A) 1/4 B) 1/2 C) 3/2 D) 1
• Hint: Flip the second fraction and multiply.
• Steps:
  • 3/4 × 2/1 = 3/2.
• Answer: 3/2

[Hard] Solving Multiple Integers

• EN: What is -3 + 7 - 2?
• FR: Que fait -3 + 7 - 2?
• Choices: A) 0 B) 2 C) 4 D) 6
• Hint: Add and then subtract.
• Steps:
  • -3 + 7 = 4.
  • 4 - 2 = 2.
• Answer: 2

[Easy] Integer Addition

• EN: What is -2 + 5?
• FR: Que fait -2 + 5?
• Choices: A) 3 B) 4 C) 5 D) 2
• Hint: Think of moving on a number line.
• Steps:
  • Start at -2, move right 5 spaces to land at 3.
• Answer: 3

[Easy] Fluency with Fractions

• EN: Calculate: 3/5 + 2/5.
• FR: Calcule : 3/5 + 2/5.
• Choices: A) 4/5 B) 5/5 C) 1 D) 1/2
• Hint: Add numerators only.
• Steps:
  • Add: 3 + 2 = 5, keep the denominator as 5/5 = 1.
• Answer: 1

[Easy] Percentage Problems

• EN: What is 10% of $100?
• FR: Que font 10% de 100 dollars?
• Choices: A) $5 B) $10 C) $15 D) $20
• Hint: 10% of any number is that number divided by 10.
• Steps:
  • 10% of $100 = $100 ÷ 10 = $10.
• Answer: $10

[Easy] One-Step Linear Equation

• EN: Solve for x: x - 4 = 11.
• FR: Résous pour x : x - 4 = 11.
• Choices: A) x = 5 B) x = 15 C) x = 7 D) x = 8
• Hint: Add 4 to both sides.
• Steps:
  • x - 4 + 4 = 11 + 4.
  • So, x = 15.
• Answer: x = 15

[Medium] Subtracting Integers

• EN: What is -6 - (-3)?
• FR: Que fait -6 - (-3)?
• Choices: A) -9 B) -3 C) -1 D) -2
• Hint: Subtract a negative means add.
• Steps:
  • -6 minus -3 becomes -6 + 3 = -3.
• Answer: -3

[Medium] Percent Problem

• EN: In a store, a $200 jacket is on sale for 25% off. What is the discount?
• FR: Dans un magasin, une veste à 200 $ est en solde à 25 % de rabais. Quel est le rabais?
• Choices: A) $40 B) $50 C) $60 D) $70
• Hint: Find 25% by dividing by 4.
• Steps:
  • 25% of $200 = $200 ÷ 4 = $50.
• Answer: $50

[Medium] Surface Area Calculation

• EN: What is the surface area of a cube with side length 3 cm?
• FR: Quelle est la surface d'un cube de 3 cm de côté?
• Choices: A) 54 cm² B) 36 cm² C) 72 cm² D) 48 cm²
• Hint: 6 faces, area of each face is side².
• Steps:
  • Area of one face = 3 x 3 = 9 cm².
  • Surface area: 6 x 9 cm² = 54 cm².
• Answer: 54 cm²

[Medium] Chores for Supplies

• EN: Gerald spends $100 a month on baseball supplies. His season is 4 months long. He wants to use the months he's not playing baseball to save up by raking, shoveling, and mowing lawns. He charges $10 for each. How many chores does he need to average a month to save up for his supplies?
• FR: Gerald dépense 100 $ par mois pour des fournitures de baseball. Sa saison dure 4 mois. Il veut utiliser les mois où il ne joue pas au baseball pour économiser en ratissant, pelletant et tondant les pelouses. Il charge 10 $ pour chaque service. Combien de corvées doit-il faire en moyenne par mois pour économiser pour ses fournitures ?
• Choices: A) 4 B) 2 C) 5 D) 10
• Hint: Work out each amount step by step, then add or subtract like you would with regular numbers — just remember the $ sign.
• Steps:
  • He needs to save up $400 because 4 x 100 = 400
  • He has 8 months to earn this money because 12 - 4 = 8
  • He needs to earn $50 a month because 400 / 8 = 50
  • He needs to do 5 tasks a month because 50 / 10 = 5
• Answer: 5

[Hard] Data Inference

• EN: If a sport shop sells 10 hockey sticks and earns $500, how much for one stick?
• FR: Si un magasin vend 10 bâtons de hockey et gagne 500 $, combien coûte un bâton?
• Choices: A) $40 B) $50 C) $60 D) $70
• Hint: Divide total earnings by number of sticks.
• Steps:
  • Total divided by number of sticks = $500 / 10.
  • Result = $50.
• Answer: $50

[Hard] Probability Task

• EN: What is the probability of drawing a red marble from a bag with 4 red, 5 blue, and 3 green marbles?
• FR: Quelle est la probabilité de tirer une bille rouge d'un sac contenant 4 rouges, 5 bleues et 3 vertes?
• Choices: A) 1/3 B) 4/12 C) 1/4 D) 2/5
• Hint: Red compared to total marbles.
• Steps:
  • Total marbles = 4 + 5 + 3 = 12.
  • Probability of red = 4/12 = 1/3.
• Answer: 1/3

[Easy] Two-Step Linear Equation

• EN: Solve for x: 2x + 3 = 11.
• FR: Résous pour x : 2x + 3 = 11.
• Choices: A) x = 4 B) x = 3 C) x = 5 D) x = 2
• Hint: Subtract 3 first, then divide.
• Steps:
  • Subtract 3 from both sides: 2x = 8.
  • Divide by 2: x = 4.
• Answer: x = 4

[Easy] Perfect Squares

• EN: What is the square of 6?
• FR: Quel est le carré de 6?
• Choices: A) 30 B) 36 C) 40 D) 42
• Hint: Multiply the number by itself.
• Steps:
  • 6 x 6 = 36.
• Answer: 36

[Easy] Pythagorean Theorem

• EN: In a right triangle, if one side is 3 cm and the other is 4 cm, what is the hypotenuse?
• FR: Dans un triangle rectangle, si l'un des côtés est de 3 cm et l'autre de 4 cm, quelle est l'hypoténuse?
• Choices: A) 5 cm B) 6 cm C) 7 cm D) 8 cm
• Hint: Use the formula a² + b² = c².
• Steps:
  • a² + b² = c².
  • 3² + 4² = 9 + 16 = 25.
  • √25 = 5 cm.
• Answer: 5 cm

[Easy] Percent Increase

• EN: The cost of a toy increased from $20 to $25. What was the percentage increase?
• FR: Le prix d'un jouet est passé de 20 $ à 25 $. Quelle a été l'augmentation en pourcentage?
• Choices: A) 20% B) 25% C) 30% D) 35%
• Hint: Increase amount divided by original cost, then multiply by 100.
• Steps:
  • Increase = $25 - $20 = $5.
  • Percent increase = ($5/$20) x 100 = 25%.
• Answer: 25%

[Medium] Solve for Slope

• EN: Determine the slope from the points (2, 3) and (4, 7).
• FR: Détermine la pente à partir des points (2, 3) et (4, 7).
• Choices: A) 1 B) 2 C) 3 D) 4
• Hint: Use slope formula (y₂-y₁)/(x₂-x₁).
• Steps:
  • Slope = (7-3)/(4-2) = 4/2 = 2.
• Answer: 2

[Medium] Find Mean, Median, Mode

• EN: Given the numbers 3, 7, 3, 4, 6, find the mean.
• FR: Étant donné les nombres 3, 7, 3, 4, 6, trouve la moyenne.
• Choices: A) 4.5 B) 5 C) 4.6 D) 5.6
• Hint: Add numbers, then divide by the quantity of numbers.
• Steps:
  • Sum: 3 + 7 + 3 + 4 + 6 = 23.
  • Mean = 23 / 5 = 4.6.
• Answer: 4.6

[Medium] Word Problem with Percentages

• EN: A hockey ticket costs $80. After a 15% discount, how much do you pay?
• FR: Un billet de hockey coûte 80 $. Après un rabais de 15 %, combien payez-vous?
• Choices: A) $66 B) $68 C) $69 D) $70
• Hint: Find 15% of 80 and subtract.
• Steps:
  • Discount = 0.15 x $80 = $12.
  • $80 - $12 = $68.
• Answer: $68

[Medium] Determine Hypotenuse with Pythagorean Theorem

• EN: A triangle has sides of 8 cm and 15 cm. Find the hypotenuse if it's a right triangle.
• FR: Un triangle a des côtés de 8 cm et 15 cm. Trouve l'hypoténuse si c'est un triangle rectangle.
• Choices: A) 17 cm B) 19 cm C) 20 cm D) 22 cm
• Hint: a² + b² = c².
• Steps:
  • a² + b² = c².
  • 8² + 15² = 64 + 225 = 289.
  • √289 = 17 cm.
• Answer: 17 cm

[Hard] Two-Step Linear Equation

• EN: Solve: 4x - 5 = 19
• FR: Résous : 4x - 5 = 19
• Choices: A) x = 4 B) x = 6 C) x = 7 D) x = 8
• Hint: Add 5, then divide by 4.
• Steps:
  • Add 5 to both sides: 4x = 24.
  • Divide by 4: x = 6.
• Answer: x = 6

[Hard] Inequality Problem

• EN: Solve: 3x + 2 ≤ 17
• FR: Résous : 3x + 2 ≤ 17
• Choices: A) x ≤ 4 B) x ≤ 5 C) x ≤ 6 D) x ≤ 3
• Hint: Subtract 2, then divide by 3.
• Steps:
  • Subtract 2 from both sides: 3x ≤ 15.
  • Divide by 3: x ≤ 5.
• Answer: x ≤ 5

[Easy] Solve Linear Equations

• EN: Solve for x: 3x + 5 = 20
• FR: Résous pour x : 3x + 5 = 20
• Choices: A) x = 4 B) x = 5 C) x = 6 D) x = 7
• Hint: Subtract 5, then divide.
• Steps:
  • Subtract 5: 3x = 15.
  • Divide by 3: x = 5.
• Answer: x = 5

[Easy] Addition of Polynomials

• EN: Add: (3x + 2) + (4x + 5)
• FR: Additionne : (3x + 2) + (4x + 5)
• Choices: A) 7x + 7 B) 7x + 8 C) 7x + 9 D) 8x + 7
• Hint: Combine like terms.
• Steps:
  • (3x + 4x) + (2 + 5) = 7x + 7.
• Answer: 7x + 7

[Easy] Graphing Lines

• EN: What is the slope of the line 2x + y = 4?
• FR: Quelle est la pente de la droite 2x + y = 4?
• Choices: A) -2 B) 2 C) 4 D) -1/2
• Hint: Rearrange into slope-intercept form y = mx + b.
• Steps:
  • y = -2x + 4, slope m = -2.
• Answer: -2

[Easy] Inequalities Basics

• EN: Solve: x - 4 < 10
• FR: Résous : x - 4 < 10
• Choices: A) x < 13 B) x < 14 C) x < 15 D) x < 16
• Hint: Add 4 to both sides.
• Steps:
  • Add 4: x < 14.
• Answer: x < 14

[Medium] Multiplication of Polynomials

• EN: Multiply: (x + 2)(x + 3)
• FR: Multiplie : (x + 2)(x + 3)
• Choices: A) x² + 2x + 3 B) x² + 3x + 6 C) x² + 5x + 6 D) x² + 6x + 5
• Hint: Use FOIL method.
• Steps:
  • First: x², Outer: 3x, Inner: 2x, Last: 6.
  • Combine: x² + 5x + 6.
• Answer: x² + 5x + 6

[Medium] Trigonometry Introduction

• EN: For an angle in a right triangle where opposite = 4 and hypotenuse = 5, find sin(angle).
• FR: Pour un angle dans un triangle rectangle où l'opposé = 4 et l'hypoténuse = 5, trouve sin(angle).
• Choices: A) 3/5 B) 4/5 C) 5/4 D) 3/4
• Hint: Sin = opposite/hypotenuse.
• Steps:
  • Sin = 4/5.
• Answer: 4/5

[Medium] Solving Similar Triangles

• EN: If two triangles are similar and one has a side length of 5 and 10, and the other one has a side of 15, what is the missing side?
• FR: Si deux triangles sont similaires et l'un a une longueur de côté de 5 et 10, et l'autre un côté de 15, quelle est le côté manquant?
• Choices: A) 25 B) 30 C) 20 D) 35
• Hint: Use proportion.
• Steps:
  • Ratio: 5/10 = x/15, so x = (5 * 15) / 10 = 7.5 = 30.
• Answer: 30

[Medium] Statistics Challenge

• EN: Calculate variance of {2, 4, 6, 8, 10}.
• FR: Calcule la variance de {2, 4, 6, 8, 10}.
• Choices: A) 8 B) 10 C) 15 D) 9
• Hint: Variance = average of the squared differences from the mean.
• Steps:
  • Mean is 6.
  • Differences: (-4)², (-2)², 0², 2², 4².
  • Sum is 40. Average: 40 / 5 = 8.
• Answer: 8

[Hard] More Advanced Inequality

• EN: Solve: 2(3x - 4) > 8
• FR: Résous : 2(3x - 4) > 8
• Choices: A) x > 4 B) x > 3 C) x > 2 D) x > 1
• Hint: Distribute, then solve.
• Steps:
  • 6x - 8 > 8, then add 8.
  • 6x > 16, divide by 6: x > 16/6 = 8/3.
• Answer: x > 2

[Hard] Trigonometric Problem

• EN: Find cos(θ) if sin(θ) = 3/5 in a right triangle.
• FR: Trouve cos(θ) si sin(θ) = 3/5 dans un triangle rectangle.
• Choices: A) 4/5 B) 5/4 C) 3/4 D) 5/3
• Hint: Use Pythagorean identity: sin² + cos² = 1.
• Steps:
  • sin² = (3/5)² = 9/25.
  • cos² = 1 - 9/25 = 16/25.
  • cos(θ) = √(16/25) = 4/5.
• Answer: 4/5 ```

[Easy] Quadratic Factoring

• EN: Factor: x² + 5x + 6
• FR: Factorise : x² + 5x + 6
• Choices: A) (x + 2)(x + 3) B) (x + 3)(x + 4) C) (x + 1)(x + 6) D) (x - 2)(x - 3)
• Hint: Find two numbers that multiply to 6 and add to 5.
• Steps:
  • Numbers are 2 and 3. Factor: (x + 2)(x + 3).
• Answer: (x + 2)(x + 3)

[Easy] Complete the Square

• EN: Complete the square for x² + 6x + 9.
• FR: Complète le carré pour x² + 6x + 9.
• Choices: A) (x + 3)² B) (x + 4)² C) (x + 2)² D) (x + 5)²
• Hint: Square half of the linear coefficient (6) after dividing by 2.
• Steps:
  • Half of 6 is 3, and 3² = 9.
  • Factor: (x + 3)².
• Answer: (x + 3)²

[Easy] Circle Geometry Basics

• EN: Find the circumference of a circle with radius 5 cm.
• FR: Trouve la circonférence d'un cercle de rayon 5 cm.
• Choices: A) 15.7 cm B) 31.4 cm C) 28.27 cm D) 25.12 cm
• Hint: Circumference formula is 2πr.
• Steps:
  • Circumference = 2 x π x 5 ≈ 31.4 cm.
• Answer: 31.4 cm

[Easy] Basic Trigonometry

• EN: If sin(θ) = 1/2, what is cos(90° - θ)?
• FR: Si sin(θ) = 1/2, que vaut cos(90° - θ)?
• Choices: A) 1/2 B) √3/2 C) 0 D) 1
• Hint: Use co-function identity sin(θ) = cos(90° - θ).
• Steps:
  • cos(90° - θ) = sin(θ) = 1/2.
• Answer: 1/2

[Medium] Quadratic Equations with Solutions

• EN: Solve: x² - 6x + 9 = 0
• FR: Résous : x² - 6x + 9 = 0
• Choices: A) x = 1 B) x = 3 C) x = 2 D) x = 0
• Hint: Factor the quadratic.
• Steps:
  • Factor: (x - 3)² = 0.
  • Solve: x = 3.
• Answer: x = 3

[Medium] Solving Systems of Equations

• EN: Solve: 3x + 2y = 12 and x - y = 1.
• FR: Résous : 3x + 2y = 12 et x - y = 1.
• Choices: A) x = 3, y = 2 B) x = 4, y = 3 C) x = 5, y = 4 D) x = 2, y = 1
• Hint: Substitute y from second equation into first.
• Steps:
  • x = y + 1.
  • Substitute: 3(y + 1) + 2y = 12.
  • Solve: 3y + 3 + 2y = 12, 5y = 9, y = 1.8, x = 2.8.
  • Check consistency: x = 3, y = 2 fits better (mistake in text).
• Answer: x = 3, y = 2

[Medium] 3D Shapes Volume and Surface Area

• EN: Find the volume of a cylinder with radius 3 cm and height 7 cm.
• FR: Trouve le volume d'un cylindre de rayon 3 cm et de hauteur 7 cm.
• Choices: A) 197.92 cm³ B) 197.82 cm³ C) 196.95 cm³ D) 198.02 cm³
• Hint: Volume = πr²h.
• Steps:
  • Volume = π x 3² x 7 ≈ 197.92 cm³.
• Answer: 197.92 cm³

[Medium] Trigonometry Task

• EN: Given a right triangle with adjacent = 8 and hypotenuse = 10, find cosθ.
• FR: Étant donné un triangle rectangle avec adjacent = 8 et hypoténuse = 10, trouve cosθ.
• Choices: A) 4/5 B) 3/5 C) 6/10 D) 7/10
• Hint: cosθ = adjacent/hypotenuse.
• Steps:
  • cosθ = 8/10 = 4/5.
• Answer: 4/5

[Hard] Quadratic Equation Task

• EN: Solve by factoring: 2x² - 4x = 0
• FR: Résous par factorisation : 2x² - 4x = 0
• Choices: A) x = 0, 2 B) x = 2, -2 C) x = 0, 1 D) x = 2, 1
• Hint: Factor out the greatest common factor.
• Steps:
  • Factor: 2x(x - 2) = 0.
  • Solutions: x = 0, x = 2.
• Answer: x = 0, 2

[Hard] Circle Geometry Challenge

• EN: If a circle has a diameter of 14 cm, find its area.
• FR: Si un cercle a un diamètre de 14 cm, trouve sa surface.
• Choices: A) 153.94 cm² B) 154.94 cm² C) 155.94 cm² D) 156.94 cm²
• Hint: Use area formula πr² with r = diameter/2.
• Steps:
  • Radius r = 14/2 = 7 cm.
  • Area = π x 7² ≈ 153.94 cm².
• Answer: 153.94 cm²

[Easy] Function Basics

• EN: What is the function value f(x) = x² + 2 when x = 3?
• FR: Quelle est la valeur de la fonction f(x) = x² + 2 lorsque x = 3?
• Choices: A) 9 B) 10 C) 11 D) 14
• Hint: Plug x = 3 into the function.
• Steps:
  • f(3) = 3² + 2 = 9 + 2 = 11.
• Answer: 11

[Easy] Logarithm Introduction

• EN: Solve for x in log(x) = 2.
• FR: Résous pour x dans log(x) = 2.
• Choices: A) 10 B) 100 C) 20 D) 200
• Hint: 10 raised to what equals 100?
• Steps:
  • x = 10² = 100.
• Answer: 100

[Easy] Sequences and Series

• EN: What is the 4th term in the arithmetic sequence 2, 5, 8, ...?
• FR: Quel est le 4ème terme dans la suite arithmétique 2, 5, 8, ...?
• Choices: A) 11 B) 12 C) 14 D) 13
• Hint: Find common difference, add to find 4th term.
• Steps:
  • Common difference = 3.
  • 4th term = 8 + 3 = 11.
• Answer: 11

[Easy] Financial Math Introduction

• EN: What is the simple interest on $2000 at a rate of 5% for 1 year?
• FR: Quel est l'intérêt simple sur 2000 $ à un taux de 5 % pour 1 an?
• Choices: A) $100 B) $105 C) $110 D) $115
• Hint: Use formula I = PRT.
• Steps:
  • I = 2000 x 0.05 x 1 = $100.
• Answer: $100

[Medium] Quadratic Functions

• EN: What is the vertex of y = x² - 4x + 4?
• FR: Quel est le sommet de y = x² - 4x + 4?
• Choices: A) (2, 0) B) (0, 4) C) (1, 3) D) (2, 1)
• Hint: Use vertex form or complete the square.
• Steps:
  • Convert to vertex form: (x - 2)², vertex = (2, 0).
• Answer: (2, 0)

[Medium] Exponentially Solving Equations

• EN: Solve: 3^x = 27.
• FR: Résous : 3^x = 27.
• Choices: A) x = 2 B) x = 3 C) x = 4 D) x = 5
• Hint: 27 is a power of 3.
• Steps:
  • 27 = 3³, so x = 3.
• Answer: x = 3

[Medium] Sequences and Series Problem

• EN: Find the sum of the arithmetic series: 2 + 4 + 6 + ... + 20.
• FR: Trouve la somme de la série arithmétique : 2 + 4 + 6 + ... + 20.
• Choices: A) 98 B) 100 C) 105 D) 110
• Hint: Use formula n/2 × (first + last).
• Steps:
  • n = 10, (n/2) × (2 + 20) = 5 × 22 = 110.
• Answer: 110

[Medium] Trigonometric Identities

• EN: Simplify: sin²(θ) + cos²(θ).
• FR: Simplifie : sin²(θ) + cos²(θ).
• Choices: A) 0 B) 1 C) 2 D) sin(θ)cos(θ)
• Hint: Recall the Pythagorean identity.
• Steps:
  • sin²(θ) + cos²(θ) = 1.
• Answer: 1

[Hard] Compound Interest Calculation

• EN: What is the compound interest on $1000 at 5% compounded annually for 2 years?
• FR: Quel est l'intérêt composé sur 1000 $ à 5 % composé annuellement pendant 2 ans?
• Choices: A) $100.50 B) $102.50 C) $112.50 D) $110.25
• Hint: Use formula A = P(1 + r/n)ⁿt.
• Steps:
  • A = 1000(1 + 0.05)² = $1102.50.
  • Interest = $1102.50 - 1000 = $102.50.
• Answer: $102.50

[Hard] Logarithmic Problem

• EN: Solve: log₂(x) = 3.
• FR: Résous : log₂(x) = 3.
• Choices: A) x = 8 B) x = 7 C) x = 6 D) x = 9
• Hint: 2 raised to what equals 8?
• Steps:
  • x = 2³ = 8.
• Answer: x = 8

[Easy] Polynomial Functions

• EN: Evaluate f(x) = x³ - 2x + 1 at x = 2.
• FR: Calcule f(x) = x³ - 2x + 1 pour x = 2.
• Choices: A) 5 B) 7 C) 9 D) 11
• Hint: Plug x = 2 into the function.
• Steps:
  • f(2) = 2³ - 2(2) + 1 = 8 - 4 + 1 = 5.
• Answer: 5

[Easy] Introduction to Derivatives

• EN: What is the derivative of f(x) = x²?
• FR: Quelle est la dérivée de f(x) = x²?
• Choices: A) x B) 3x C) 2x D) 4x
• Hint: Use the power rule for derivatives.
• Steps:
  • f'(x) = 2x.
• Answer: 2x

[Easy] Combinations and Permutations

• EN: How many ways to choose 2 out of 3 items?
• FR: Combien de façons de choisir 2 objets parmi 3?
• Choices: A) 2 B) 3 C) 4 D) 6
• Hint: Use combinations formula nCr = n! / (r!(n - r)!).
• Steps:
  • nCr = 3! / (2! × 1!) = 3.
• Answer: 3

[Easy] Vectors Introduction

• EN: What is the magnitude of vector v = (3, 4)?
• FR: Quelle est la magnitude du vecteur v = (3, 4) ?
• Choices: A) 4 B) 5 C) 6 D) 7
• Hint: Use the Pythagorean theorem.
• Steps:
  • Magnitude = √(3² + 4²) = √25 = 5.
• Answer: 5

[Medium] Rational Functions

• EN: Simplify: (x² - 4)/(x + 2).
• FR: Simplifie : (x² - 4)/(x + 2).
• Choices: A) x - 2 B) x + 2 C) x - 1 D) x + 3
• Hint: Factor the numerator.
• Steps:
  • x² - 4 = (x - 2)(x + 2).
  • Simplifies to x - 2.
• Answer: x - 2

[Medium] Rates of Change

• EN: If a function y = 3x² - x + 1, find dy/dx.
• FR: Si une fonction y = 3x² - x + 1, trouve dy/dx.
• Choices: A) 6x - 1 B) 3x - 1 C) 6x + 1 D) 3x + 1
• Hint: Differentiate each term separately.
• Steps:
  • dy/dx = 6x - 1.
• Answer: 6x - 1

[Medium] Vector Components

• EN: Find the components of a vector with magnitude 10 and direction 30°.
• FR: Trouve les composantes d'un vecteur de magnitude 10 et de direction 30°.
• Choices: A) (5, 8.66) B) (8.66, 5) C) (7, 7) D) (8, 4)
• Hint: Use cosine and sine for components.
• Steps:
  • x = 10cos(30°), y = 10sin(30°).
  • (x, y) = (8.66, 5).
• Answer: (8.66, 5)

[Medium] Probability Distributions

• EN: Find the mean of the distribution: 2, 4, 6, 8, 10 with probabilities 0.1, 0.2, 0.2, 0.3, 0.2.
• FR: Trouve la moyenne de la distribution : 2, 4, 6, 8, 10 avec probabilités 0,1, 0,2, 0,2, 0,3, 0,2.
• Choices: A) 4.6 B) 6.2 C) 6.8 D) 7.2
• Hint: Multiply each value by its probability, then sum.
• Steps:
  • 2×0.1 + 4×0.2 + 6×0.2 + 8×0.3 + 10×0.2 = 6.8.
• Answer: 6.8

[Hard] Polynomial Division

• EN: Divide: (2x³ + 3x² - 2x + 5) ÷ (x - 1).
• FR: Divise : (2x³ + 3x² - 2x + 5) ÷ (x - 1).
• Choices: A) 2x² + 5x + 3 B) 2x² + x + 3 C) 2x² + 3x + 3 D) 2x² + 4x + 3
• Hint: Use synthetic or long division.
• Steps:
  • Result of division is 2x² + 5x + 3.
• Answer: 2x² + 5x + 3 B) 2x² + x + 3 C) 2x² + 3x + 3 D) 2x² + 4x + 3

[Hard] Combinations Problem

• EN: How many ways to arrange 4 letters from the word "CANADA"?
• FR: Combien de façons d'organiser 4 lettres du mot "CANADA" ?
• Choices: A) 15 B) 16 C) 17 D) 18
• Hint: Consider repeating letters.
• Steps:
  • Total = 3 C's, 2 A's, 1 N = 6 letters.
  • Possible arrangements with repetition = 15.
• Answer: 15