Daily Math — 2026-05-02

[Easy] Count the Candies

• EN: There are 3 red candies and 2 blue candies. How many candies are there in total?
• FR: Il y a 3 bonbons rouges et 2 bonbons bleus. Combien y a-t-il de bonbons en tout ?
• Choices: A) 4 B) 5 C) 6 D) 7
• Hint: Add the red candies to the blue candies.
• Steps:
  • step 1: Count red candies.
  • step 2: Count blue candies and add to red.
• Answer: 5

[Easy] Adding Loonies

• EN: You have 1 loonie and your friend gives you 2 more. How many loonies do you have now?
• FR: Tu as 1 dollar et ton ami te donne 2 de plus. Combien as-tu de dollars maintenant ?
• Choices: A) 2 B) 3 C) 4 D) 5
• Hint: Start with 1 and add 2.
• Steps:
  • step 1: Start with your loonie.
  • step 2: Add your friend's loonies.
• Answer: 3

[Easy] Skip Counting by 2s

• EN: Count by 2s starting from 2: 2, 4, ___?
• FR: Compte par 2 à partir de 2 : 2, 4, ___ ?
• Choices: A) 5 B) 6 C) 7 D) 8
• Hint: Think about the next number after 4 when counting by 2s.
• Steps:
  • step 1: Remember the pattern of counting by 2s.
  • step 2: Identify the next number.
• Answer: 6

[Easy] Compare the Numbers

• EN: Which is bigger, 7 or 5?
• FR: Lequel est plus grand, 7 ou 5 ?
• Choices: A) 5 B) 6 C) 7 D) 8
• Hint: Look at the two numbers.
• Steps:
  • step 1: Look at 7 and 5.
  • step 2: Determine the larger number.
• Answer: 7

[Medium] Simple Addition

• EN: If you have 12 apples and you give away 5, how many do you have left?
• FR: Si tu as 12 pommes et que tu en donnes 5, combien te reste-t-il ?
• Choices: A) 7 B) 8 C) 9 D) 10
• Hint: Subtract the number of apples given away from the total.
• Steps:
  • step 1: Start with 12 apples.
  • step 2: Subtract 5 apples.
• Answer: 7

[Medium] Telling Time

• EN: If the clock shows 3:30, what time will it be in 1 hour?
• FR: Si l'horloge montre 3h30, quelle heure sera-t-il dans 1 heure ?
• Choices: A) 4:30 B) 5:00 C) 5:30 D) 6:00
• Hint: Add one hour to the current time.
• Steps:
  • step 1: Identify the current hour.
  • step 2: Add one hour to it.
• Answer: 4:30

[Medium] Subtracting Coins

• EN: You have $2.00 and you buy a toy for $1.50. How much money is left?
• FR: Tu as 2,00 $ et tu achètes un jouet pour 1,50 $. Combien d'argent te reste-t-il ?
• Choices: A) 0.25 B) 0.50 C) 0.75 D) 1.00
• Hint: Subtract the cost of the toy from your money.
• Steps:
  • step 1: Start with $2.00.
  • step 2: Subtract $1.50.
• Answer: 0.50

[Medium] Counting Coins

• EN: If you have 3 dimes and 2 nickels, how much money do you have in total?
• FR: Si tu as 3 dimes et 2 nickels, combien d'argent as-tu en tout ?
• Choices: A) 0.35 B) 0.40 C) 0.50 D) 0.60
• Hint: Find the total value of each type of coin.
• Steps:
  • step 1: Calculate value of dimes.
  • step 2: Calculate value of nickels and add both.
• Answer: 0.40

[Hard] Adding and Subtracting

• EN: You have 15 candies. You eat 6 and then get 10 more. How many candies do you have now?
• FR: Tu as 15 bonbons. Tu en manges 6 puis tu en reçois 10 de plus. Combien as-tu de bonbons maintenant ?
• Choices: A) 15 B) 16 C) 17 D) 18
• Hint: Calculate what you have after eating and receiving.
• Steps:
  • step 1: Subtract 6 from 15.
  • step 2: Add 10 to the result.
• Answer: 19

[Hard] Multiplying Gifts

• EN: You received 4 packs of stickers, and each pack has 5 stickers. How many stickers do you have?
• FR: Tu as reçu 4 paquets d'autocollants et chaque paquet contient 5 autocollants. Combien as-tu d'autocollants ?
• Choices: A) 18 B) 20 C) 22 D) 24
• Hint: Think multiplication for packs and stickers.
• Steps:
  • step 1: Multiply 4 by 5.
  • step 2: Count the total stickers.
• Answer: 20

[Easy] Adding Loonies

• EN: You have 5 loonies. How much money do you have?
• FR: Tu as 5 dollars. Combien d'argent as-tu ?
• Choices: A) 4 B) 5 C) 6 D) 7
• Hint: Each loonie is worth $1.
• Steps:
  • step 1: Count the number of loonies.
  • step 2: Know each one is $1.
• Answer: 5

[Easy] Counting Coins

• EN: You have 2 loonies and 3 nickels. How many coins do you have?
• FR: Tu as 2 dollars et 3 nickel. Combien de pièces as-tu ?
• Choices: A) 4 B) 5 C) 6 D) 7
• Hint: Just add the coins together.
• Steps:
  • step 1: Count loonies and nickels.
  • step 2: Add them together.
• Answer: 5

[Easy] Subtracting Apples

• EN: You had 10 apples, and you gave away 2. How many do you have left?
• FR: Tu avais 10 pommes, et tu en as donné 2. Combien t'en reste-t-il ?
• Choices: A) 7 B) 8 C) 9 D) 10
• Hint: Subtract the apples given away.
• Steps:
  • step 1: Start with 10 apples.
  • step 2: Subtract 2 apples given away.
• Answer: 8

[Easy] Finding Length

• EN: A pencil is 10 cm long. If you use 4 cm, how much is left?
• FR: Un crayon fait 10 cm de long. Si tu utilises 4 cm, combien reste-t-il ?
• Choices: A) 5 B) 6 C) 7 D) 8
• Hint: Think about what remains after using some length.
• Steps:
  • step 1: Start with 10 cm.
  • step 2: Subtract 4 cm used.
• Answer: 6

[Medium] Money Calculation

• EN: You have 5 quarters and 2 dimes. How much money do you have?
• FR: Tu as 5 quarts et 2 dimes. Combien d'argent as-tu ?
• Choices: A) 1.20 B) 1.30 C) 1.40 D) 1.50
• Hint: Calculate using coin values.
• Steps:
  • step 1: Add value of quarters.
  • step 2: Add value of dimes.
• Answer: 1.40

[Medium] Time Calculation

• EN: If the time is 1:30 PM now, what time will it be in 2 hours?
• FR: Si il est 13h30 maintenant, quelle heure sera-t-il dans 2 heures ?
• Choices: A) 2:30 B) 3:30 C) 4:30 D) 5:30
• Hint: Add hours to the current time.
• Steps:
  • step 1: Note the current time.
  • step 2: Add 2 hours.
• Answer: 3:30

[Medium] Area of Rectangle

• EN: A rectangle has a length of 5 cm and a width of 4 cm. What is its area?
• FR: Un rectangle a une longueur de 5 cm et une largeur de 4 cm. Quelle est sa surface ?
• Choices: A) 9 B) 20 C) 25 D) 30
• Hint: Use the formula length times width.
• Steps:
  • step 1: Multiply length by width.
  • step 2: Get the area.
• Answer: 20

[Medium] Comparing Time

• EN: What is earlier, 2:00 PM or 1:30 PM?
• FR: Quelle heure est plus tôt, 14h00 ou 13h30 ?
• Choices: A) 2:00 B) 1:30 C) Both same D) None
• Hint: Think about the time before noon.
• Steps:
  • step 1: Look at both times.
  • step 2: Identify which is earlier.
• Answer: 1:30

[Hard] Total Coins

• EN: You have 3 loonies, 4 quarters, and 2 dimes. How much money is that in total?
• FR: Tu as 3 dollars, 4 quarts et 2 dimes. Combien d'argent cela fait-il au total ?
• Choices: A) 6.40 B) 7.40 C) 8.40 D) 9.40
• Hint: Calculate total money from each coin.
• Steps:
  • step 1: Find total for loonies.
  • step 2: Add quarter and dime values.
• Answer: 8.40

[Hard] Subtracting Length

• EN: You had a ribbon 12 cm long. After using 5 cm, how much ribbon is left?
• FR: Tu avais un ruban de 12 cm de long. Après avoir utilisé 5 cm, combien reste-t-il ?
• Choices: A) 6 B) 7 C) 8 D) 9
• Hint: Subtract used length from total length.
• Steps:
  • step 1: Start with 12 cm.
  • step 2: Subtract 5 cm used.
• Answer: 7

[Easy] Adding Apples

• EN: You see 4 apples on the table and 3 more on the counter. How many apples do you see?
• FR: Tu vois 4 pommes sur la table et 3 de plus sur le comptoir. Combien de pommes vois-tu ?
• Choices: A) 6 B) 7 C) 8 D) 9
• Hint: Add the apples together.
• Steps:
  • step 1: Count apples on the table.
  • step 2: Count apples on the counter.
• Answer: 7

[Easy] Counting Ducks

• EN: There are 5 ducks swimming in the pond and 2 more come. How many ducks are there now?
• FR: Il y a 5 canards qui nagent dans l'étang et 2 de plus arrivent. Combien y a-t-il de canards maintenant ?
• Choices: A) 6 B) 7 C) 8 D) 9
• Hint: Add the number of ducks.
• Steps:
  • step 1: Start with 5 ducks.
  • step 2: Add 2 more ducks.
• Answer: 7

[Easy] Making Pairs

• EN: If you have 6 hockey sticks and want to make pairs, how many pairs can you make?
• FR: Si tu as 6 bâtons de hockey et que tu veux former des paires, combien de paires peux-tu faire ?
• Choices: A) 2 B) 3 C) 4 D) 5
• Hint: Divide the total sticks by 2.
• Steps:
  • step 1: Start with 6 sticks.
  • step 2: Divide by 2.
• Answer: 3

[Easy] Counting Cars

• EN: There are 3 red cars and 4 blue cars. How many cars total?
• FR: Il y a 3 voitures rouges et 4 voitures bleues. Combien y a-t-il de voitures au total ?
• Choices: A) 6 B) 7 C) 8 D) 9
• Hint: Add red cars to blue cars.
• Steps:
  • step 1: Count red cars.
  • step 2: Add blue cars.
• Answer: 7

[Medium] Multiplying Fruits

• EN: If you have 2 baskets, and each basket has 5 oranges, how many oranges do you have?
• FR: Si tu as 2 paniers, et que chaque panier a 5 oranges, combien as-tu d'oranges ?
• Choices: A) 5 B) 10 C) 15 D) 20
• Hint: Multiply the number of baskets by oranges per basket.
• Steps:
  • step 1: Multiply 2 by 5.
  • step 2: Get total oranges.
• Answer: 10

[Medium] Dividing Candies

• EN: You have 12 candies to share evenly among 4 friends. How many candies does each friend get?
• FR: Tu as 12 bonbons à partager également entre 4 amis. Combien de bonbons chaque ami reçoit-il ?
• Choices: A) 2 B) 3 C) 4 D) 5
• Hint: Divide total candies by the number of friends.
• Steps:
  • step 1: Start with 12 candies.
  • step 2: Divide by 4 friends.
• Answer: 3

[Medium] Mixed Fractions

• EN: What is half of 8?
• FR: Quelle est la moitié de 8 ?
• Choices: A) 3 B) 4 C) 5 D) 6
• Hint: Think of dividing 8 into two equal parts.
• Steps:
  • step 1: Start with the number 8.
  • step 2: Divide it by 2.
• Answer: 4

[Medium] Reading a Graph

• EN: If a graph shows 3 apples, 5 bananas, and 2 oranges, how many fruits are there in total?
• FR: Si un graphique montre 3 pommes, 5 bananes et 2 oranges, combien y a-t-il de fruits au total ?
• Choices: A) 8 B) 7 C) 6 D) 9
• Hint: Add all types of fruit together.
• Steps:
  • step 1: Count each type of fruit.
  • step 2: Sum them together.
• Answer: 10

[Hard] Adding Fractions

• EN: What is 1/2 + 1/4?
• FR: Quelle est 1/2 + 1/4 ?
• Choices: A) 1/4 B) 3/4 C) 1/2 D) 2/4
• Hint: Find a common denominator.
• Steps:
  • step 1: Convert to common denominators.
  • step 2: Add the fractions.
• Answer: 3/4

[Hard] Multiplying Fractions

• EN: What is 2/3 × 3/4?
• FR: Quelle est 2/3 × 3/4 ?
• Choices: A) 1/2 B) 1/4 C) 1 D) 1/8
• Hint: Multiply the top numbers together and the bottom numbers together.
• Steps:
  • step 1: Multiply the numerators.
  • step 2: Multiply the denominators.
• Answer: 1/2

[Easy] Adding Days

• EN: Sarah has 4 apples, and she buys 3 more. How many apples does she have now?
• FR: Sarah a 4 pommes, et elle en achète 3 de plus. Combien de pommes a-t-elle maintenant ?
• Choices: A) 6 B) 7 C) 8 D) 9
• Hint: Just add the apples together.
• Steps:
  • step 1: Count Sarah's original apples.
  • step 2: Add the new purchases.
• Answer: 7

[Easy] Finding Area

• EN: A rectangle has a length of 3 cm and a width of 4 cm. What is its area?
• FR: Un rectangle a une longueur de 3 cm et une largeur de 4 cm. Quelle est sa surface ?
• Choices: A) 7 B) 10 C) 12 D) 15
• Hint: Use the formula length times width.
• Steps:
  • step 1: Count length.
  • step 2: Count width.
• Answer: 12

[Easy] Counting Pencils

• EN: You have 10 pencils, and you give away 2. How many pencils do you have left?
• FR: Tu as 10 crayons, et tu en donnes 2. Combien de crayons te reste-t-il ?
• Choices: A) 6 B) 7 C) 8 D) 9
• Hint: Subtract the given pencils from the total.
• Steps:
  • step 1: Start with 10.
  • step 2: Subtract 2.
• Answer: 8

[Easy] Book Count

• EN: You have 15 books and buy 5 more. How many books do you have now?
• FR: Tu as 15 livres et en achètes 5 de plus. Combien de livres as-tu maintenant ?
• Choices: A) 18 B) 20 C) 21 D) 22
• Hint: Add the number of books bought to the total.
• Steps:
  • step 1: Count the original books.
  • step 2: Add the new purchases.
• Answer: 20

[Medium] Subtracting Lengths

• EN: If a ribbon is 30 cm long and you cut 12 cm off, how long is it now?
• FR: Si un ruban mesure 30 cm de long et que tu en coupes 12 cm, combien mesure-t-il maintenant ?
• Choices: A) 16 B) 18 C) 20 D) 22
• Hint: Subtract the length you cut from the original length.
• Steps:
  • step 1: Identify the original length.
  • step 2: Subtract the cut length.
• Answer: 18

[Medium] Elapsed Time

• EN: If it's 2:00 PM now, what time will it be in 3 hours?
• FR: S'il est 14h00 maintenant, quelle heure sera-t-il dans 3 heures ?
• Choices: A) 4 PM B) 5 PM C) 6 PM D) 7 PM
• Hint: Add hours to the current time.
• Steps:
  • step 1: Start with current time.
  • step 2: Add 3 hours to it.
• Answer: 5 PM

[Medium] Comparing Fractions

• EN: Which is larger, 4/5 or 1/2?
• FR: Lequel est plus grand, 4/5 ou 1/2 ?
• Choices: A) 4/5 B) 1/2 C) Both same D) None
• Hint: Think about the values of the fractions.
• Steps:
  • step 1: Compare the fractions.
  • step 2: Identify the larger one.
• Answer: 4/5

[Medium] Addition of Fractions

• EN: What is 1/4 + 2/4?
• FR: Quelle est 1/4 + 2/4 ?
• Choices: A) 1/4 B) 3/4 C) 1/2 D) 1
• Hint: Add the numerators together.
• Steps:
  • step 1: Add the numerators.
  • step 2: Keep the same denominator.
• Answer: 3/4

[Hard] Dividing Area

• EN: A rectangle's area is 36 cm². If the length is 6 cm, what is the width?
• FR: La surface d'un rectangle est de 36 cm². Si la longueur est de 6 cm, quelle est la largeur ?
• Choices: A) 5 B) 6 C) 7 D) 8
• Hint: Area = length × width.
• Steps:
  • step 1: Use Area formula.
  • step 2: Solve for width.
• Answer: 6

[Hard] Long Division

• EN: Divide 42 by 7. What is the quotient?
• FR: Divise 42 par 7. Quel est le quotient ?
• Choices: A) 5 B) 6 C) 7 D) 8
• Hint: Think about how many times 7 fits into 42.
• Steps:
  • step 1: Set up the division.
  • step 2: Find the quotient.
• Answer: 6

[Easy] Adding Distances

• EN: You walked 4 km on Monday and 3 km on Tuesday. How many km did you walk altogether?
• FR: Tu as marché 4 km lundi et 3 km mardi. Combien de km as-tu marché au total ?
• Choices: A) 6 B) 7 C) 8 D) 9
• Hint: Add the distances.
• Steps:
  • step 1: Count Monday's distance.
  • step 2: Count Tuesday's distance.
• Answer: 7

[Easy] Counting Books

• EN: You have 12 books and buy 5 more. How many books do you have now?
• FR: Tu as 12 livres et en achètes 5 de plus. Combien de livres as-tu maintenant ?
• Choices: A) 16 B) 17 C) 18 D) 19
• Hint: Just add up the total books.
• Steps:
  • step 1: Start with 12.
  • step 2: Add 5.
• Answer: 17

[Easy] Finding Volume

• EN: A box is 2 cm wide, 3 cm long, and 5 cm tall. What is its volume?
• FR: Une boîte mesure 2 cm de large, 3 cm de long et 5 cm de haut. Quelle est sa volume ?
• Choices: A) 15 B) 20 C) 25 D) 30
• Hint: Use the formula length × width × height.
• Steps:
  • step 1: Multiply length by width.
  • step 2: Multiply the result by height.
• Answer: 30

[Easy] Adding Coins

• EN: You have 3 loonies, 2 toonies, and 5 dimes. How much money do you have?
• FR: Tu as 3 dollars, 2 toonies et 5 dimes. Combien d'argent as-tu ?
• Choices: A) 11 B) 12 C) 13 D) 14
• Hint: Add the values of all coins together.
• Steps:
  • step 1: Calculate loonies' value.
  • step 2: Calculate toonies' and dimes' values.
• Answer: 13

[Medium] Multiplying Distances

• EN: If you drive at 60 km/h for 2 hours, how far do you go?
• FR: Si tu conduis à 60 km/h pendant 2 heures, quelle distance parcoures-tu ?
• Choices: A) 100 B) 120 C) 150 D) 200
• Hint: Use distance = speed × time.
• Steps:
  • step 1: Multiply speed by time.
  • step 2: Get total distance.
• Answer: 120

[Medium] Area of Rectangle

• EN: If a rectangle has a length of 8 m and a width of 5 m, what is its area?
• FR: Si un rectangle a une longueur de 8 m et une largeur de 5 m, quelle est sa surface ?
• Choices: A) 40 B) 45 C) 50 D) 55
• Hint: Area = length × width.
• Steps:
  • step 1: Multiply length by width.
  • step 2: Find area.
• Answer: 40

[Medium] Subtracting Coins

• EN: You have $10 but spend $3. How much do you have left?
• FR: Tu as 10 $ mais tu dépenses 3 $. Combien te reste-t-il ?
• Choices: A) 6 B) 7 C) 8 D) 9
• Hint: Subtract the amount spent from the total.
• Steps:
  • step 1: Start with $10.
  • step 2: Subtract $3.
• Answer: 7

[Medium] Percentage Problem

• EN: What is 25% of 200?
• FR: Quel est 25% de 200 ?
• Choices: A) 25 B) 50 C) 75 D) 100
• Hint: Find one quarter of the total.
• Steps:
  • step 1: Calculate 200 divided by 4.
  • step 2: Find the percentage.
• Answer: 50

[Hard] Dividing for Damage

• EN: The area of a square garden is 144 m². What is the length of one side?
• FR: La surface d'un jardin carré est de 144 m². Quelle est la longueur d'un côté ?
• Choices: A) 10 B) 12 C) 14 D) 16
• Hint: Area = side × side.
• Steps:
  • step 1: Find the square root of 144.
  • step 2: Get the side length.
• Answer: 12

[Hard] Setting up Equations

• EN: Solve for x in the equation 3x + 6 = 21. What is x?
• FR: Trouve x dans l'équation 3x + 6 = 21. Quelle est x ?
• Choices: A) 4 B) 5 C) 6 D) 7
• Hint: Isolate x on one side.
• Steps:
  • step 1: Subtract 6 from both sides.
  • step 2: Divide by 3 to find x.
• Answer: 5

[Easy] Adding Integers

• EN: What is 3 + 5?
• FR: Quelle est 3 + 5 ?
• Choices: A) 7 B) 8 C) 9 D) 10
• Hint: Just add the two numbers together.
• Steps:
  • step 1: Start with 3.
  • step 2: Add 5.
• Answer: 8

[Easy] Counting Candles

• EN: You have 8 candles, and you buy 7 more. How many candles do you have?
• FR: Tu as 8 bougies, et tu en achètes 7 de plus. Combien as-tu de bougies ?
• Choices: A) 13 B) 14 C) 15 D) 16
• Hint: Simply add the numbers.
• Steps:
  • step 1: Count current candles.
  • step 2: Add the new candles bought.
• Answer: 15

[Easy] Length Comparison

• EN: If one pencil is 15 cm long and another is 20 cm long, how much longer is the second pencil?
• FR: Si un crayon mesure 15 cm de long et qu'un autre mesure 20 cm, combien le deuxième crayon est-il plus long ?
• Choices: A) 4 cm B) 5 cm C) 6 cm D) 7 cm
• Hint: Subtract the lengths.
• Steps:
  • step 1: Identify both lengths.
  • step 2: Subtract the shorter from the longer.
• Answer: 5

[Easy] Identifying Shapes

• EN: How many sides does a triangle have?
• FR: Combien de côtés a un triangle ?
• Choices: A) 2 B) 3 C) 4 D) 5
• Hint: Think of a common shape.
• Steps:
  • step 1: Recall the triangle shape.
  • step 2: Count the sides.
• Answer: 3

[Medium] Price Calculation

• EN: If a book costs $15 and you buy 3 books, how much do you pay?
• FR: Si un livre coûte 15 $ et que tu achètes 3 livres, combien paies-tu ?
• Choices: A) 30 B) 40 C) 45 D) 50
• Hint: Multiply the price by the number of books.
• Steps:
  • step 1: Identify the cost of one book.
  • step 2: Multiply by 3.
• Answer: 45

[Medium] Fraction of a Number

• EN: What is 1/2 of 60?
• FR: Quelle est la moitié de 60 ?
• Choices: A) 25 B) 30 C) 35 D) 40
• Hint: Divide by 2.
• Steps:
  • step 1: Take the number 60.
  • step 2: Divide by 2.
• Answer: 30

[Medium] Comparing Ratios

• EN: If the ratio of cats to dogs is 3:2 and there are 12 cats, how many dogs are there?
• FR: Si le ratio de chats à chiens est de 3:2 et qu'il y a 12 chats, combien de chiens y a-t-il ?
• Choices: A) 5 B) 6 C) 7 D) 8
• Hint: Set proportion based on ratio.
• Steps:
  • step 1: Set up the ratio fraction.
  • step 2: Calculate based on 3:2 proportions.
• Answer: 8

[Medium] Finding Percent

• EN: What is 20% of 50?
• FR: Quel est 20% de 50 ?
• Choices: A) 8 B) 9 C) 10 D) 11
• Hint: Find one-fifth of the total.
• Steps:
  • step 1: Divide 50 by 5.
  • step 2: Get the percentage.
• Answer: 10

[Hard] Using Algebra

• EN: Solve for x: 5x + 3 = 18.
• FR: Trouve x : 5x + 3 = 18.
• Choices: A) 2 B) 3 C) 4 D) 5
• Hint: Isolate x on one side of the equation.
• Steps:
  • step 1: Subtract 3 from both sides.
  • step 2: Divide by 5.
• Answer: 3

[Hard] Finding Area of Triangle

• EN: A triangle has a base of 10 cm and a height of 6 cm. What is its area?
• FR: Un triangle a une base de 10 cm et une hauteur de 6 cm. Quelle est sa surface ?
• Choices: A) 30 B) 36 C) 40 D) 50
• Hint: Area = (base × height) ÷ 2.
• Steps:
  • step 1: Calculate base times height.
  • step 2: Divide by 2 for area.
• Answer: 30

[Hard] Solving Ratio Problems

• EN: If the ratio of boys to girls in a class is 4:5 and there are 36 students, how many girls are there?
• FR: Si le ratio de garçons à filles dans une classe est de 4:5 et qu'il y a 36 élèves, combien de filles y a-t-il ?
• Choices: A) 20 B) 16 C) 18 D) 24
• Hint: Set up a proportion based on total students.
• Steps:
  • step 1: Determine parts of the ratio.
  • step 2: Calculate total parts and find girls.
• Answer: 20

[Hard] Finding Missing Angles

• EN: In a triangle, one angle is 50 degrees and another is 60 degrees. What is the third angle?
• FR: Dans un triangle, un angle fait 50 degrés et un autre fait 60 degrés. Quel est le troisième angle ?
• Choices: A) 50 B) 60 C) 70 D) 80
• Hint: The sum of angles in a triangle is 180 degrees.
• Steps:
  • step 1: Add the angles you know.
  • step 2: Subtract from 180.
• Answer: 70

[Hard] Using the Order of Operations

• EN: Solve: 3 + 8 × 2 - 5.
• FR: Résous : 3 + 8 × 2 - 5.
• Choices: A) 10 B) 11 C) 12 D) 13
• Hint: Remember PEMDAS.
• Steps:
  • step 1: Multiply before addition and subtraction.
  • step 2: Final calculation.
• Answer: 15

[Hard] Finding Volume of Cylinder

• EN: A cylinder has a radius of 3 cm and a height of 4 cm. What is its volume?
• FR: Un cylindre a un rayon de 3 cm et une hauteur de 4 cm. Quel est son volume ?
• Choices: A) 28.26 B) 36 C) 56.52 D) 45
• Hint: Use the formula πr²h.
• Steps:
  • step 1: Calculate area of base.
  • step 2: Multiply by height.
• Answer: 28.26

[Hard] Finding Distance Using Time and Speed

• EN: If a car travels at 100 km/h for 2.5 hours, how far does it go?
• FR: Si une voiture roule à 100 km/h pendant 2,5 heures, quelle distance parcourt-elle ?
• Choices: A) 200 B) 250 C) 300 D) 350
• Hint: Use distance = speed × time.
• Steps:
  • step 1: Multiply speed by time.
  • step 2: Find total distance.
• Answer: 250

[Easy] Adding Integers

• EN: What is 7 + 8?
• FR: Quelle est 7 + 8 ?
• Choices: A) 14 B) 15 C) 16 D) 17
• Hint: Add the two numbers together.
• Steps:
  • step 1: Start with 7.
  • step 2: Add 8.
• Answer: 15

[Easy] Counting Fish

• EN: You have 4 goldfish and 5 more fish. How many fish do you have now?
• FR: Tu as 4 poissons rouges et 5 poissons de plus. Combien de poissons as-tu maintenant ?
• Choices: A) 8 B) 9 C) 10 D) 11
• Hint: Just add the two numbers.
• Steps:
  • step 1: Start with 4 fish.
  • step 2: Add 5 more.
• Answer: 9

[Easy] Counting Pencils

• EN: You bought 12 pencils and lost 3. How many do you have left?
• FR: Tu as acheté 12 crayons et en as perdu 3. Combien t'en reste-t-il ?
• Choices: A) 8 B) 9 C) 10 D) 11
• Hint: Subtract the lost pencils from the total.
• Steps:
  • step 1: Start with 12.
  • step 2: Subtract 3.
• Answer: 9

[Easy] Comparing Ages

• EN: If you are 10 years old and your brother is 8, who is older?
• FR: Si tu as 10 ans et que ton frère a 8 ans, qui est plus vieux ?
• Choices: A) You B) Your brother C) Both same D) None
• Hint: Compare your ages.
• Steps:
  • step 1: Recall your age.
  • step 2: Compare with your brother.
• Answer: You

[Medium] Subtracting Integers

• EN: Calculate 15 - 6.
• FR: Calcule 15 - 6.
• Choices: A) 7 B) 8 C) 9 D) 10
• Hint: Just subtract.
• Steps:
  • step 1: Start with 15.
  • step 2: Subtract 6.
• Answer: 9

[Medium] Finding the Mean

• EN: What is the average of 2, 5, and 8?
• FR: Quelle est la moyenne de 2, 5 et 8 ?
• Choices: A) 5 B) 6 C) 7 D) 8
• Hint: Add the numbers and divide by how many there are.
• Steps:
  • step 1: Add 2, 5, and 8.
  • step 2: Divide the total by 3.
• Answer: 5

[Medium] Solving Simple Ratios

• EN: If there are 6 apples for every 3 oranges, what is the ratio of oranges to apples?
• FR: S'il y a 6 pommes pour chaque 3 oranges, quel est le ratio des oranges aux pommes ?
• Choices: A) 1:2 B) 2:1 C) 1:3 D) 3:1
• Hint: Invert the original ratio.
• Steps:
  • step 1: Identify apple and orange ratio.
  • step 2: Invert the ratio.
• Answer: 1:2

[Medium] Simple Algebra

• EN: Solve for x: 2x - 3 = 7.
• FR: Trouve x : 2x - 3 = 7.
• Choices: A) 5 B) 6 C) 7 D) 8
• Hint: Isolate x by adding and dividing.
• Steps:
  • step 1: Add 3 to both sides.
  • step 2: Divide by 2.
• Answer: 5

[Hard] Multiplying Fractions

• EN: Find 3/4 × 2/3.
• FR: Trouve 3/4 × 2/3.
• Choices: A) 1/2 B) 1 C) 1/3 D) 1/4
• Hint: Multiply numerators and denominators.
• Steps:
  • step 1: Multiply the top numbers.
  • step 2: Multiply the bottom numbers.
• Answer: 1/2

[Hard] Dividing a Whole Number by a Fraction

• EN: What is 10 ÷ 1/2?
• FR: Qu'est-ce que 10 ÷ 1/2 ?
• Choices: A) 15 B) 20 C) 25 D) 30
• Hint: Dividing by a fraction is the same as multiplying by its reciprocal.
• Steps:
  • step 1: Change division to multiplication.
  • step 2: Multiply by its reciprocal.
• Answer: 20

[Hard] Finding the Area of a Triangle

• EN: What is the area of a triangle with a base of 8 cm and a height of 5 cm?
• FR: Quelle est la surface d’un triangle ayant une base de 8 cm et une hauteur de 5 cm ?
• Choices: A) 15 B) 20 C) 25 D) 30
• Hint: Use the formula (base × height)/2.
• Steps:
  • step 1: Multiply base and height.
  • step 2: Divide by 2.
• Answer: 20

[Hard] Finding Missing Angles

• EN: If a triangle has angles 40° and 100°, what is the third angle?
• FR: Si un triangle a des angles de 40° et 100°, quel est le troisième angle ?
• Choices: A) 30° B) 40° C) 50° D) 60°
• Hint: The sum of angles in a triangle is always 180°.
• Steps:
  • step 1: Add the two angles.
  • step 2: Subtract from 180°.
• Answer: 40

[Hard] Understanding Rates

• EN: If a car travels 120 km in 2 hours, what is its average speed?
• FR: Si une voiture parcourt 120 km en 2 heures, quelle est sa vitesse moyenne ?
• Choices: A) 50 km/h B) 60 km/h C) 70 km/h D) 80 km/h
• Hint: Use the formula speed = distance/time.
• Steps:
  • step 1: Identify distance and time.
  • step 2: Divide distance by time.
• Answer: 60 km/h

[Hard] Solving Two-Step Equations

• EN: Solve for x: 3(x + 4) = 21.
• FR: Trouve x : 3(x + 4) = 21.
• Choices: A) 3 B) 4 C) 5 D) 6
• Hint: First divide then subtract.
• Steps:
  • step 1: Divide both sides by 3.
  • step 2: Subtract 4.
• Answer: 3

[Hard] Calculating Probability

• EN: A bag has 5 red balls and 3 blue balls. What is the probability of picking a blue ball?
• FR: Un sac a 5 billes rouges et 3 billes bleues. Quelle est la probabilité de prendre une bille bleue ?
• Choices: A) 1/8 B) 3/8 C) 5/8 D) 1/5
• Hint: Use the formula probability = favorable outcomes/total outcomes.
• Steps:
  • step 1: Count the total balls.
  • step 2: Calculate probability of blue balls.
• Answer: 3/8

[Easy] Adding Rational Numbers

• EN: What is 1/4 + 1/4?
• FR: Quelle est 1/4 + 1/4 ?
• Choices: A) 1/2 B) 1/3 C) 1/4 D) 2/4
• Hint: Just add the fractions.
• Steps:
  • step 1: Add the numerators.
  • step 2: Keep the same denominator.
• Answer: 1/2

[Easy] Finding Missing Numbers

• EN: If 8 + x = 12, what is x?
• FR: Si 8 + x = 12, quelle est x ?
• Choices: A) 3 B) 4 C) 5 D) 6
• Hint: Think what you need to add to 8.
• Steps:
  • step 1: Subtract 8 from both sides.
  • step 2: Solve for x.
• Answer: 4

[Easy] Word Problems with Addition

• EN: Lisa has 40 stickers and gets 30 more. How many stickers does she have?
• FR: Lisa a 40 autocollants et en reçoit 30 supplémentaires. Combien d'autocollants a-t-elle ?
• Choices: A) 60 B) 70 C) 80 D) 90
• Hint: Add the stickers.
• Steps:
  • step 1: Start with 40 stickers.
  • step 2: Add 30.
• Answer: 70

[Easy] Length of Line Segments

• EN: If a line segment is 5 cm long and another is 10 cm long, what is the total length?
• FR: Si un segment de ligne fait 5 cm de long et qu'un autre fait 10 cm, quelle est la longueur totale ?
• Choices: A) 10 B) 12 C) 15 D) 20
• Hint: Just add the lengths together.
• Steps:
  • step 1: Count the first length.
  • step 2: Count the second length.
• Answer: 15

[Medium] Solving Two-Step Equations

• EN: Solve for y: 2y - 4 = 10.
• FR: Trouve y : 2y - 4 = 10.
• Choices: A) 5 B) 6 C) 7 D) 8
• Hint: First add 4 to both sides.
• Steps:
  • step 1: Add 4 to both sides.
  • step 2: Divide by 2.
• Answer: 7

[Medium] Finding Area of Quadrilateral

• EN: A rectangle's length is 4 m and width is 3 m. What is its area?
• FR: La longueur d'un rectangle est de 4 m et la largeur de 3 m. Quelle est sa surface ?
• Choices: A) 6 B) 7 C) 12 D) 15
• Hint: Use area = length × width.
• Steps:
  • step 1: Multiply length by width.
  • step 2: Calculate the area.
• Answer: 12

[Medium] Percentage Problems

• EN: What is 15% of 200?
• FR: Quel est 15% de 200 ?
• Choices: A) 25 B) 30 C) 35 D) 40
• Hint: Find 10% and add half of that.
• Steps:
  • step 1: Find 10% of 200.
  • step 2: Find 5% and add them together.
• Answer: 30

[Medium] Probability and Outcome

• EN: If you flip a coin, what is the probability it will land on heads?
• FR: Si tu lances une pièce, quelle est la probabilité qu'elle tombe sur faces ?
• Choices: A) 1/2 B) 1/3 C) 1/4 D) 1/5
• Hint: Think about the two outcomes.
• Steps:
  • step 1: Identify favorable outcomes.
  • step 2: Calculate total outcomes.
• Answer: 1/2

[Hard] Solving Linear Equations

• EN: Solve for x: 3x + 7 = 31.
• FR: Trouve x : 3x + 7 = 31.
• Choices: A) 7 B) 8 C) 9 D) 10
• Hint: Isolate x on one side.
• Steps:
  • step 1: Subtract 7 from both sides.
  • step 2: Divide by 3.
• Answer: 8

[Hard] Finding Area of Triangle

• EN: If a triangle has a base of 10 cm and height of 8 cm, what is the area?
• FR: Si un triangle a une base de 10 cm et une hauteur de 8 cm, quelle est la surface ?
• Choices: A) 25 B) 30 C) 35 D) 40
• Hint: Use area = (base × height)/2.
• Steps:
  • step 1: Multiply base and height.
  • step 2: Divide by 2.
• Answer: 40

[Hard] Finding Surface Area

• EN: What is the surface area of a cube with side length 4 cm?
• FR: Quelle est la surface d'un cube de côté de 4 cm ?
• Choices: A) 24 cm² B) 48 cm² C) 64 cm² D) 80 cm²
• Hint: Use formula for surface area.
• Steps:
  • step 1: Calculate area per face.
  • step 2: Multiply by 6.
• Answer: 96

[Hard] Understanding Exponents

• EN: What is 2 raised to the power of 3?
• FR: Quelle est 2 à la puissance 3 ?
• Choices: A) 6 B) 7 C) 8 D) 9
• Hint: Multiply the base number by itself three times.
• Steps:
  • step 1: 2 × 2 × 2.
  • step 2: Find the final result.
• Answer: 8

[Hard] Finding Volume of Cylinder

• EN: If a cylinder has a radius of 3 cm and height of 5 cm, what is its volume?
• FR: Si un cylindre a un rayon de 3 cm et une hauteur de 5 cm, quel est son volume ?
• Choices: A) 15π B) 30π C) 45π D) 60
• Hint: Use formula volume = πr²h.
• Steps:
  • step 1: Calculate r².
  • step 2: Multiply by height and π.
• Answer: 30π

[Hard] Solving Function Problems

• EN: If f(x) = 2x + 3, what is f(4)?
• FR: Si f(x) = 2x + 3, quelle est f(4) ?
• Choices: A) 7 B) 8 C) 9 D) 10
• Hint: Substitute x with 4 in the equation.
• Steps:
  • step 1: Replace x with 4.
  • step 2: Calculate the result.
• Answer: 11

[Hard] Finding Missing Angles in Geometry

• EN: In a triangle, if angle A is 60° and angle B is 90°, what is angle C?
• FR: Dans un triangle, si l'angle A est de 60° et l'angle B est de 90°, quel est l'angle C ?
• Choices: A) 30 B) 40 C) 50 D) 60
• Hint: Remember that the sum of angles in a triangle is 180°.
• Steps:
  • step 1: Sum the angles you know.
  • step 2: Subtract from 180°.
• Answer: 30

[Easy] Solving Basic Expressions

• EN: What is 7 + 3?
• FR: Quelle est 7 + 3 ?
• Choices: A) 9 B) 10 C) 11 D) 12
• Hint: Just add the numbers together.
• Steps:
  • step 1: Start with 7.
  • step 2: Add 3.
• Answer: 10

[Easy] Identifying Shapes

• EN: What shape has 4 equal sides?
• FR: Quelle forme a 4 côtés égaux ?
• Choices: A) Triangle B) Square C) Rectangle D) Circle
• Hint: Think about the name of the shape.
• Steps:
  • step 1: Recall shapes with equal sides.
  • step 2: Identify the shape.
• Answer: Square

[Easy] Word Problems

• EN: Sarah has 3 times as many stickers as Tom, who has 5. How many stickers does Sarah have?
• FR: Sarah a 3 fois plus d'autocollants que Tom, qui en a 5. Combien d'autocollants Sarah a-t-elle ?
• Choices: A) 10 B) 12 C) 15 D) 20
• Hint: Multiply Tom's stickers by 3.
• Steps:
  • step 1: Start with Tom's stickers.
  • step 2: Multiply by 3.
• Answer: 15

[Easy] Subtracting Integers

• EN: If you have 20 apples and give away 7, how many do you have left?
• FR: Si tu as 20 pommes et que tu en donnes 7, combien t'en reste-t-il ?
• Choices: A) 10 B) 12 C) 13 D) 15
• Hint: Just subtract the number given away.
• Steps:
  • step 1: Start with 20 apples.
  • step 2: Subtract 7 apples.
• Answer: 13

[Medium] Solving Equations

• EN: If 4x = 20, what is x?
• FR: Si 4x = 20, quelle est x ?
• Choices: A) 4 B) 5 C) 6 D) 7
• Hint: Divide both sides by 4.
• Steps:
  • step 1: Set up the equation.
  • step 2: Divide.
• Answer: 5

[Medium] Finding the Mean

• EN: What is the average of 3, 5, and 7?
• FR: Quelle est la moyenne de 3, 5 et 7 ?
• Choices: A) 5 B) 6 C) 7 D) 8
• Hint: Add the numbers and divide by how many there are.
• Steps:
  • step 1: Add the numbers together.
  • step 2: Divide by 3.
• Answer: 5

[Medium] Comparing Fractions

• EN: Which is greater: 3/4 or 2/3?
• FR: Lequel est plus grand : 3/4 ou 2/3 ?
• Choices: A) 3/4 B) 2/3 C) Both same D) None
• Hint: Convert to decimals if needed.
• Steps:
  • step 1: Convert fractions to a common denominator.
  • step 2: Compare the values.
• Answer: 3/4

[Medium] Solving Proportions

• EN: If 10 pencils cost $5, how much do 25 pencils cost?
• FR: Si 10 crayons coûtent 5 $, combien coûtent 25 crayons ?
• Choices: A) 10 B) 12.50 C) 15 D) 20
• Hint: Use a proportion to calculate.
• Steps:
  • step 1: Set up the proportion.
  • step 2: Solve for the unknown.
• Answer: 12.5

[Hard] Solving Linear Equations

• EN: What does x equal in 2x + 3 = 11?
• FR: Quelle est la valeur de x dans 2x + 3 = 11 ?
• Choices: A) 4 B) 5 C) 6 D) 7
• Hint: Isolate x on one side of the equation.
• Steps:
  • step 1: Subtract 3 from both sides.
  • step 2: Divide by 2.
• Answer: 4

[Hard] Finding Surface Area of a Cube

• EN: What is the surface area of a cube with side length 4 cm?
• FR: Quelle est la surface d'un cube de côté de 4 cm ?
• Choices: A) 16 B) 32 C) 64 D) 96
• Hint: Surface area = 6 × side².
• Steps:
  • step 1: Square the side.
  • step 2: Multiply by 6.
• Answer: 96

[Hard] Exploring Probability

• EN: What is the probability of rolling a 4 on a six-sided die?
• FR: Quelle est la probabilité de lancer un 4 sur un dé à six faces ?
• Choices: A) 1/6 B) 1/5 C) 1/4 D) 1/3
• Hint: Think about the favorable outcomes over total outcomes.
• Steps:
  • step 1: Identify possible outcomes.
  • step 2: Calculate probability.
• Answer: 1/6

[Hard] Questions with Functions

• EN: If f(x) = x² + 2x, what is f(3)?
• FR: Si f(x) = x² + 2x, quelle est f(3) ?
• Choices: A) 15 B) 20 C) 30 D) 40
• Hint: Substitute x with 3 in the function.
• Steps:
  • step 1: Replace x in the function.
  • step 2: Calculate the result.
• Answer: 20

[Hard] Finding Slope of a Line

• EN: What is the slope of the line passing through points (2, 3) and (4, 7)?
• FR: Quelle est la pente de la ligne passant par les points (2, 3) et (4, 7) ?
• Choices: A) 2 B) 3 C) 4 D) 5
• Hint: Use slope formula (y2 - y1) / (x2 - x1).
• Steps:
  • step 1: Identify the coordinates.
  • step 2: Calculate using the formula.
• Answer: 2

[Hard] Solving Quadratics

• EN: Factor the quadratic equation x² - 5x + 6 = 0.
• FR: Factorise l'équation quadratique x² - 5x + 6 = 0.
• Choices: A) (x - 2)(x - 3) B) (x - 1)(x - 6) C) (x - 2)(x - 4) D) (x + 2)(x - 3)
• Hint: Look for two numbers that multiply to 6 and add to -5.
• Steps:
  • step 1: Factor the quadratic.
  • step 2: Set each factor to zero.
• Answer: (x - 2)(x - 3)

[Hard] Finding Volume of a Cone

• EN: A cone has a radius of 3 cm and height of 5 cm. What is its volume?
• FR: Un cône a un rayon de 3 cm et une hauteur de 5 cm. Quel est son volume ?
• Choices: A) 15π B) 20π C) 25π D) 30π
• Hint: Use the formula V = (1/3)πr²h.
• Steps:
  • step 1: Calculate base area.
  • step 2: Multiply by height and divide by 3.
• Answer: 15π

[Easy] Finding the Roots

• EN: What are the roots of the equation x² = 16?
• FR: Quelles sont les racines de l'équation x² = 16 ?
• Choices: A) 2, -2 B) 4, -4 C) 8, -8 D) 0, 16
• Hint: Take the square root of both sides.
• Steps:
  • step 1: Find the square root of 16.
  • step 2: Identify both positive and negative roots.
• Answer: 4, -4

[Easy] Simple Factoring

• EN: Factor the expression x² - 9.
• FR: Factorise l'expression x² - 9.
• Choices: A) (x - 3)(x + 3) B) (x - 1)(x + 1) C) (x - 2)(x + 2) D) (x - 4)(x + 2)
• Hint: Recognize the difference of squares.
• Steps:
  • step 1: Rewrite expression using squares.
  • step 2: Factor it.
• Answer: (x - 3)(x + 3)

[Easy] Solving Systems of Equations

• EN: Solve the system: x + y = 10 and y = 4. What is x?
• FR: Résous le système : x + y = 10 et y = 4. Quelle est x ?
• Choices: A) 4 B) 5 C) 6 D) 7
• Hint: Substitute y back into the first equation.
• Steps:
  • step 1: Use y's value.
  • step 2: Solve for x.
• Answer: 6

[Easy] Evaluating Functions

• EN: If f(x) = 3x + 1, what is f(2)?
• FR: Si f(x) = 3x + 1, quelle est f(2) ?
• Choices: A) 5 B) 6 C) 7 D) 8
• Hint: Substitute 2 into the function and solve.
• Steps:
  • step 1: Replace x with 2.
  • step 2: Calculate the result.
• Answer: 7

[Medium] Quadratic Formula

• EN: What are the solutions of x² - 4x + 3 = 0?
• FR: Quelles sont les solutions de x² - 4x + 3 = 0 ?
• Choices: A) 1, 3 B) 2, 2 C) -1, -3 D) -2, -3
• Hint: Factor or use the quadratic formula.
• Steps:
  • step 1: Factor the equation.
  • step 2: Solve for x.
• Answer: 1, 3

[Medium] Analyzing Linear Functions

• EN: Determine the slope of the line through the points (1, 2) and (3, 6).
• FR: Détermine la pente de la ligne passant par les points (1, 2) et (3, 6).
• Choices: A) 1 B) 2 C) 3 D) 4
• Hint: Use the slope formula (y2 - y1) / (x2 - x1).
• Steps:
  • step 1: Find change in y.
  • step 2: Find change in x.
• Answer: 2

[Medium] Area of a Circle

• EN: What is the area of a circle with radius 5 cm?
• FR: Quelle est la surface d'un cercle de rayon 5 cm ?
• Choices: A) 25π B) 30π C) 35π D) 40π
• Hint: Use area = πr².
• Steps:
  • step 1: Square the radius.
  • step 2: Multiply by π.
• Answer: 25π

[Medium] Solving Inequalities

• EN: Solve for x: 3x - 5 < 10.
• FR: Trouve x : 3x - 5 < 10.
• Choices: A) x < 5 B) x < 10 C) x < 15 D) x < 20
• Hint: Isolate x on one side.
• Steps:
  • step 1: Add 5 to both sides.
  • step 2: Divide by 3.
• Answer: x < 5

[Hard] Finding Vertex of Quadratic

• EN: Find the vertex of the parabola given by y = x² - 4x + 3.
• FR: Trouve le sommet de la parabole donnée par y = x² - 4x + 3.
• Choices: A) (2, -1) B) (2, 1) C) (4, -1) D) (4, 1)
• Hint: Use the vertex formula x = -b/2a.
• Steps:
  • step 1: Calculate x-value.
  • step 2: Substitute x back to find y.
• Answer: (2, -1)

[Hard] Using the Quadratic Formula

• EN: Solve for x in 2x² + 3x - 5 = 0 using the quadratic formula.
• FR: Trouve x dans 2x² + 3x - 5 = 0 en utilisant la formule quadratique.
• Choices: A) 1, -2.5 B) -1, 2.5 C) 2.5, -1 D) 2, -2
• Hint: Use the formula x = [-b ± √(b²-4ac)] / 2a.
• Steps:
  • step 1: Identify a, b, c.
  • step 2: Substitute into the formula.
• Answer: 1, -2.5

[Hard] Solving Exponential Equations

• EN: What is x in 2^x = 8?
• FR: Quelle est x dans 2^x = 8 ?
• Choices: A) 2 B) 3 C) 4 D) 5
• Hint: Change 8 to a power of 2.
• Steps:
  • step 1: Rewrite 8 as 2³.
  • step 2: Set the exponents equal.
• Answer: 3

[Hard] Finding Logarithm Values

• EN: What is log₂(8)?
• FR: Quelle est log₂(8) ?
• Choices: A) 2 B) 3 C) 4 D) 5
• Hint: Re-write 8 in terms of powers of 2.
• Steps:
  • step 1: Recognize that 8 = 2³.
  • step 2: Find the logarithm.
• Answer: 3

[Hard] Direct and Inverse Variation Problems

• EN: If y varies directly as x and y = 12 when x = 4, what is y when x = 6?
• FR: Si y varie directement à x et que y = 12 lorsque x = 4, quelle est y lorsque x = 6 ?
• Choices: A) 9 B) 10 C) 15 D) 18
• Hint: Set up a direct variation equation.
• Steps:
  • step 1: Find the constant of variation.
  • step 2: Substitute x = 6 to find y.
• Answer: 18

[Hard] Analyzing Quadratic Functions

• EN: What is the maximum value of the quadratic function f(x) = -x² + 6x - 5?
• FR: Quelle est la valeur maximale de la fonction quadratique f(x) = -x² + 6x -