Daily Math — 2026-04-16
Grade 1 Problems
[Easy] Counting Coins
- EN: How many nickels are in 25 cents?
- FR: Combien de nickels y a-t-il dans 25 cents ?
- Choices: A) 2 B) 5 C) 3 D) 4
- Hint: Think of how many 5-cent coins fit into a quarter.
- Steps:
- Divide 25 by 5.
- Count the nickels.
- Answer: 5
[Easy] Adding Apples
- EN: There are 3 apples on the table. You add 2 more. How many apples are there now?
- FR: Il y a 3 pommes sur la table. Tu en ajoutes 2 de plus. Combien de pommes y a-t-il maintenant ?
- Choices: A) 4 B) 5 C) 6 D) 2
- Hint: Start with what you have, then add!
- Steps:
- Add 3 and 2 together.
- Find the total.
- Answer: 5
[Easy] Counting Loonies
- EN: If you have 1 loonie and get 2 more, how many loonies do you have?
- FR: Si tu as 1 dollar et que tu en reçois 2 de plus, combien de dollars as-tu ?
- Choices: A) 2 B) 3 C) 1 D) 4
- Hint: Just add the amounts together!
- Steps:
- Start with 1.
- Add 2 more.
- Answer: 3
[Easy] Subtracting Candies
- EN: You have 10 candies and eat 4. How many candies are left?
- FR: Tu as 10 bonbons et tu en manges 4. Combien de bonbons te reste-t-il ?
- Choices: A) 5 B) 6 C) 4 D) 3
- Hint: Subtract the eaten candies from the total.
- Steps:
- Take 4 away from 10.
- Count what’s left.
- Answer: 6
[Medium] Comparing Numbers
- EN: Which is greater, 15 or 7?
- FR: Lequel est plus grand, 15 ou 7 ?
- Choices: A) 15 B) 7 C) They are equal D) None
- Hint: Think about the value of each number.
- Steps:
- Look at each number.
- Determine which is highest.
- Answer: 15
[Medium] Telling Time
- EN: It is 2:30 PM now. What time will it be in 1 hour?
- FR: Il est 14h30 maintenant. Quelle heure sera-t-il dans 1 heure ?
- Choices: A) 3:30 PM B) 4:00 PM C) 2:00 PM D) 2:30 PM
- Hint: Add one hour to the current time.
- Steps:
- Start with 2:30 PM.
- Add 1 hour.
- Answer: 3:30 PM
[Medium] Making Patterns
- EN: What comes next in the pattern: 1, 2, 3, 1, 2, 3, ___?
- FR: Que vient après dans le motif : 1, 2, 3, 1, 2, 3, ___ ?
- Choices: A) 4 B) 1 C) 2 D) 3
- Hint: Look for the repeating sequence.
- Steps:
- Identify the repeating pattern.
- Know what follows.
- Answer: 1
[Medium] Simple Word Problem
- EN: Emma has 12 stickers. She gives 3 to her friend. How many stickers does she have now?
- FR: Emma a 12 autocollants. Elle en donne 3 à son ami. Combien d'autocollants lui reste-t-il ?
- Choices: A) 9 B) 10 C) 8 D) 11
- Hint: Subtract the stickers she gave away.
- Steps:
- Take away 3 stickers from 12.
- Count what’s left.
- Answer: 9
[Hard] Simple Fractions
- EN: What is half of 20?
- FR: Quelle est la moitié de 20 ?
- Choices: A) 20 B) 10 C) 5 D) 15
- Hint: Divide 20 into two equal parts.
- Steps:
- Find half of the total.
- Think of two equal groups.
- Answer: 10
[Hard] Comparing Values
- EN: If you have 3 quarters, how much money do you have? Are 75 cents more or less than a dollar?
- FR: Si tu as 3 quarts, combien d'argent as-tu ? 75 cents est-il plus ou moins qu'un dollar ?
- Choices: A) More B) Less C) Equal D) None
- Hint: Convert quarters to cents.
- Steps:
- Count the total value of 3 quarters.
- Compare with 100 cents.
- Answer: Less
Grade 2 Problems
[Easy] Adding Coins
- EN: You have 4 dimes. How much money is that?
- FR: Tu as 4 dimes. Combien cela fait-il d'argent ?
- Choices: A) 40 cents B) 20 cents C) 60 cents D) 15 cents
- Hint: Multiply 4 by 10.
- Steps:
- Count value of each dime.
- Add them together.
- Answer: 40
[Easy] Counting Hours
- EN: It is 1:00 PM now. What time is it in 1 hour?
- FR: Il est 13h00 maintenant. Quelle heure sera-t-il dans 1 heure ?
- Choices: A) 12:00 PM B) 2:00 PM C) 3:00 PM D) 1:30 PM
- Hint: Just add 1 hour.
- Steps:
- Start from 1:00.
- Add 1 hour.
- Answer: 2:00 PM
[Easy] Counting Length
- EN: A pencil is 10 cm long. How long are 3 pencils?
- FR: Un crayon mesure 10 cm de long. Quelle est la longueur de 3 crayons ?
- Choices: A) 20 cm B) 30 cm C) 40 cm D) 10 cm
- Hint: Think about adding lengths.
- Steps:
- Multiply 10 by 3.
- Find the total length.
- Answer: 30
[Easy] Simple Addition
- EN: You have 7 cupcakes and eat 3. How many are left?
- FR: Tu as 7 gâteaux et tu en manges 3. Combien en reste-t-il ?
- Choices: A) 3 B) 4 C) 5 D) 6
- Hint: Subtract what you ate.
- Steps:
- Take away 3 from 7.
- Count the remaining cupcakes.
- Answer: 4
[Medium] Shopping with Coins
- EN: You buy a toy for $15 and pay with a $20 bill. How much change will you get?
- FR: Tu achètes un jouet pour 15 $ et tu paies avec un billet de 20 $. Combien de monnaie recevras-tu ?
- Choices: A) 5 B) 10 C) 15 D) 20
- Hint: Subtract the toy price from the bill.
- Steps:
- Calculate 20 - 15.
- Find your change.
- Answer: 5
[Medium] Length of a Tape
- EN: A ribbon is 15 cm long. If you cut it in half, how long is each piece?
- FR: Un ruban mesure 15 cm de long. Si tu le coupes en deux, quelle est la longueur de chaque morceau ?
- Choices: A) 10 cm B) 5 cm C) 7.5 cm D) 15 cm
- Hint: Divide the total length by 2.
- Steps:
- Find half of 15.
- Calculate the length of each piece.
- Answer: 7.5
[Medium] Telling Time in Hours
- EN: If it is 10:30 AM, what time will it be in 2 hours?
- FR: S'il est 10h30, quelle heure sera-t-il dans 2 heures ?
- Choices: A) 12:30 PM B) 11:30 AM C) 10:00 AM D) 1:30 PM
- Hint: Think about adding 2 hours.
- Steps:
- From 10:30, add 2 hours.
- Check what time it becomes.
- Answer: 12:30 PM
[Medium] Total Number of Items
- EN: There are 9 oranges and you buy 6 more. How many oranges do you have now?
- FR: Il y a 9 oranges et tu en achètes 6 de plus. Combien d'oranges as-tu maintenant ?
- Choices: A) 15 B) 14 C) 10 D) 11
- Hint: Just add the two amounts together.
- Steps:
- Start with 9.
- Add 6 more.
- Answer: 15
[Hard] Fractions of a Pizza
- EN: You have a pizza sliced into 8 parts. If you eat 3 pieces, what fraction do you have left?
- FR: Tu as une pizza coupée en 8 parts. Si tu en manges 3, quelle fraction reste-t-il ?
- Choices: A) 3/8 B) 5/8 C) 1/8 D) 6/8
- Hint: Count the remaining slices.
- Steps:
- Subtract the eaten slices from 8.
- Find the fraction of remaining slices.
- Answer: 5/8
[Hard] Adding Time
- EN: If you start watching a movie at 3:15 PM for 2 hours, what time does it end?
- FR: Si tu commences à regarder un film à 15h15 pendant 2 heures, à quelle heure se termine-t-il ?
- Choices: A) 5:15 PM B) 6:15 PM C) 7:15 PM D) 4:15 PM
- Hint: Just add 2 hours to the start time.
- Steps:
- Begin at 3:15.
- Add 2 hours to find the end time.
- Answer: 5:15 PM
Grade 3 Problems
[Easy] Multiplication Fact
- EN: What is 2 times 3?
- FR: Que fait 2 fois 3 ?
- Choices: A) 6 B) 5 C) 4 D) 3
- Hint: Think about adding 2 three times.
- Steps:
- Multiply 2 by 3.
- Find the total.
- Answer: 6
[Easy] Simple Division
- EN: What is 10 divided by 2?
- FR: Que fait 10 divisé par 2 ?
- Choices: A) 5 B) 4 C) 6 D) 2
- Hint: How many times does 2 go into 10?
- Steps:
- Divide 10 by 2.
- Count the number of times.
- Answer: 5
[Easy] Adding Fractions
- EN: What is 1/2 plus 1/2?
- FR: Que fait 1/2 plus 1/2 ?
- Choices: A) 1 B) 2 C) 1/4 D) 3/2
- Hint: Think of combining the parts.
- Steps:
- Add the fractions together.
- Find the total.
- Answer: 1
[Easy] Counting Shapes
- EN: How many sides does a triangle have?
- FR: Combien de côtés a un triangle ?
- Choices: A) 3 B) 4 C) 5 D) 2
- Hint: Think about the shape's corners.
- Steps:
- Count the corners of a triangle.
- Identify the number of sides.
- Answer: 3
[Medium] Area of a 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) 20 cm² B) 15 cm² C) 9 cm² D) 25 cm²
- Hint: Multiply length by width.
- Steps:
- Multiply 5 by 4.
- Find the area.
- Answer: 20
[Medium] Finding Perimeter
- EN: A square has a side length of 6 cm. What is the perimeter?
- FR: Un carré a une longueur de côté de 6 cm. Quelle est la circonférence ?
- Choices: A) 18 cm B) 24 cm C) 30 cm D) 36 cm
- Hint: Add all four sides together.
- Steps:
- Multiply 6 by 4.
- Calculate the perimeter.
- Answer: 24
[Medium] Multiplication Table
- EN: What is 4 times 4?
- FR: Que fait 4 fois 4 ?
- Choices: A) 12 B) 16 C) 8 D) 10
- Hint: Remember your times tables.
- Steps:
- Multiply 4 by 4.
- Find the total.
- Answer: 16
[Medium] Simple Graphing
- EN: On a graph, there are 8 ducks and 5 geese. How many birds are there in total?
- FR: Sur un graphique, il y a 8 canards et 5 oies. Combien d'oiseaux y a-t-il au total ?
- Choices: A) 14 B) 12 C) 10 D) 11
- Hint: Add the number of ducks and geese.
- Steps:
- Count the ducks and the geese together.
- Find the total number of birds.
- Answer: 13
[Hard] Basic Fractions
- EN: What is 1/4 of 12?
- FR: Que fait 1/4 de 12 ?
- Choices: A) 3 B) 4 C) 6 D) 2
- Hint: Divide 12 into 4 equal parts.
- Steps:
- Divide 12 by 4.
- Find one part.
- Answer: 3
[Hard] Mixed Numbers
- EN: What is 2 and 1/2 plus 1 and 3/4?
- FR: Que fait 2 et 1/2 plus 1 et 3/4 ?
- Choices: A) 4 B) 3 C) 3 and 1/4 D) 5
- Hint: Add the whole numbers first, then the fractions.
- Steps:
- Add 2 and 1 together.
- Add 1/2 and 3/4 together.
- Answer: 4
[Hard] More Complex Division
- EN: If a box contains 24 candies and you share them equally among 6 friends, how many candies does each friend get?
- FR: Si une boîte contient 24 bonbons et que tu les partages également entre 6 amis, combien de bonbons chaque ami reçoit-il ?
- Choices: A) 5 B) 6 C) 4 D) 7
- Hint: Divide total candies by number of friends.
- Steps:
- Calculate 24 divided by 6.
- Find the candies per friend.
- Answer: 4
[Hard] Funny Money
- EN: You have 3 toonies, 2 loonies, and 5 toonies. How much money do you have in total?
- FR: Tu as 3 toonies, 2 loonies, et 5 toonies. Combien d'argent as-tu au total ?
- Choices: A) $15 B) $17 C) $11 D) $14
- Hint: Don’t forget to calculate each type of coin.
- Steps:
- Find the total for toonies and loonies.
- Add them up.
- Answer: $17
Grade 4 Problems
[Easy] Simple Multiplication
- EN: What is 3 times 5?
- FR: Que fait 3 fois 5 ?
- Choices: A) 15 B) 12 C) 18 D) 20
- Hint: Think of repeated addition.
- Steps:
- Multiply the numbers together.
- Find the product.
- Answer: 15
[Easy] Division with Remainders
- EN: What is 14 divided by 4?
- FR: Que fait 14 divisé par 4 ?
- Choices: A) 3 with a remainder of 2 B) 2 C) 4 D) 1
- Hint: Determine how many times 4 fits in 14.
- Steps:
- Divide 14 by 4.
- Count the result and the remainder.
- Answer: 3 with a remainder of 2
[Easy] Counting Coins
- EN: If you have 2 loonies and 3 toonies, how much money do you have?
- FR: Si tu as 2 dollars et 3 toonies, combien d'argent as-tu ?
- Choices: A) $8 B) $4 C) $5 D) $9
- Hint: Consider the total value of the coins.
- Steps:
- Count loonies and toonies.
- Add them up.
- Answer: $8
[Easy] Area of a Rectangle
- EN: A rectangle has a length of 4 cm and a width of 3 cm. What is the area?
- FR: Un rectangle a une longueur de 4 cm et une largeur de 3 cm. Quelle est sa surface ?
- Choices: A) 12 cm² B) 10 cm² C) 8 cm² D) 6 cm²
- Hint: Multiply length by width.
- Steps:
- Calculate 4 × 3.
- Find the area.
- Answer: 12
[Medium] Finding the Time
- EN: If it is 2:15 PM now, what time will it be in 45 minutes?
- FR: S'il est 14h15 maintenant, quelle heure sera-t-il dans 45 minutes ?
- Choices: A) 3:00 PM B) 3:15 PM C) 2:45 PM D) 2:30 PM
- Hint: Add the minutes to the current time.
- Steps:
- Start from 2:15.
- Add 45 minutes and calculate.
- Answer: 3:00 PM
[Medium] Fraction Addition
- EN: What is 2/3 plus 1/3?
- FR: Que fait 2/3 plus 1/3 ?
- Choices: A) 3/3 B) 1 C) 2/3 D) 1/3
- Hint: Think about the common denominators.
- Steps:
- Combine the fractions.
- Find the total.
- Answer: 1
[Medium] Perimeter Problem
- EN: A rectangle has a length of 8 cm and a width of 3 cm. What is its perimeter?
- FR: Un rectangle a une longueur de 8 cm et une largeur de 3 cm. Quelle est sa circonférence ?
- Choices: A) 22 cm B) 25 cm C) 30 cm D) 36 cm
- Hint: Use the formula for perimeter.
- Steps:
- Calculate 2 times the length plus 2 times the width.
- Find the total distance around.
- Answer: 22
[Medium] Mixed Numbers
- EN: What is 1 and 1/2 plus 2 and 1/3?
- FR: Que fait 1 et 1/2 plus 2 et 1/3 ?
- Choices: A) 3 and 5/6 B) 4 C) 3 and 1/2 D) 3 and 2/3
- Hint: Convert to improper fractions first.
- Steps:
- Add the whole numbers and the fractions.
- Combine for the total.
- Answer: 3 and 5/6
[Hard] Long Division
- EN: What is 144 divided by 12?
- FR: Que fait 144 divisé par 12 ?
- Choices: A) 10 B) 11 C) 12 D) 13
- Hint: Use long division or multiplication tables.
- Steps:
- Set up the division.
- Find the answer.
- Answer: 12
[Hard] Money Subtraction
- EN: You have $50 and spend $27. How much do you have left?
- FR: Tu as 50 $ et tu dépenses 27 $. Combien te reste-t-il ?
- Choices: A) 23 B) 25 C) 30 D) 27
- Hint: Subtract your expenses from your total.
- Steps:
- Subtract 27 from 50.
- Find your remaining balance.
- Answer: 23
Grade 5 Problems
[Easy] Simple Multiplication
- EN: What is 6 times 4?
- FR: Que fait 6 fois 4 ?
- Choices: A) 24 B) 20 C) 18 D) 12
- Hint: Think of 6 groups of 4.
- Steps:
- Multiply the two numbers.
- Find the total.
- Answer: 24
[Easy] Subtracting with Money
- EN: You have $30 and buy a book for $12. How much money do you have now?
- FR: Tu as 30 $ et tu achètes un livre pour 12 $. Combien d'argent as-tu maintenant ?
- Choices: A) 18 B) 20 C) 15 D) 12
- Hint: Subtract the cost of the book from your total.
- Steps:
- Take away 12 from 30.
- Count what’s left.
- Answer: 18
[Easy] Adding Fractions
- EN: What is 1/4 plus 1/4?
- FR: Que fait 1/4 plus 1/4 ?
- Choices: A) 1/2 B) 1/4 C) 2/4 D) 1
- Hint: Combine the two parts.
- Steps:
- Add the fractions together.
- Simplify if needed.
- Answer: 1/2
[Easy] Volume of a Box
- EN: What is the volume of a box that is 2 cm long, 3 cm wide, and 4 cm high?
- FR: Quelle est le volume d'une boîte qui mesure 2 cm de long, 3 cm de large, et 4 cm de haut ?
- Choices: A) 24 cm³ B) 12 cm³ C) 6 cm³ D) 8 cm³
- Hint: Multiply length, width, and height.
- Steps:
- Calculate 2 × 3 × 4.
- Find the total volume.
- Answer: 24
[Medium] Percentages
- EN: What is 50% of 80?
- FR: Que fait 50 % de 80 ?
- Choices: A) 40 B) 50 C) 30 D) 20
- Hint: Think of half of 80.
- Steps:
- Divide 80 by 2.
- Find the percentage.
- Answer: 40
[Medium] Converting Measurement
- EN: How many centimeters are in 2 meters?
- FR: Combien de centimètres y a-t-il dans 2 mètres ?
- Choices: A) 100 B) 150 C) 200 D) 250
- Hint: Remember that 1 meter equals 100 centimeters.
- Steps:
- Multiply 2 by 100.
- Convert the meters to centimeters.
- Answer: 200
[Medium] Money Addition
- EN: You have $15 and your friend gives you $10 more. How much do you have now?
- FR: Tu as 15 $ et ton ami te donne 10 $ de plus. Combien as-tu maintenant ?
- Choices: A) 20 B) 25 C) 30 D) 15
- Hint: Add the amounts together.
- Steps:
- Start with 15.
- Add 10.
- Answer: 25
[Medium] Multiplying Mixed Numbers
- EN: What is 1 and 1/2 multiplied by 2?
- FR: Que fait 1 et 1/2 multiplié par 2 ?
- Choices: A) 3 B) 2 C) 4 D) 1
- Hint: Convert mixed numbers to improper first.
- Steps:
- Convert to improper fraction: 3/2.
- Multiply by 2.
- Answer: 3
[Hard] Area Combination
- EN: What is the area of a rectangle that is 6 cm long and 4 cm wide?
- FR: Quelle est la surface d'un rectangle de 6 cm de long et de 4 cm de large ?
- Choices: A) 24 cm² B) 20 cm² C) 30 cm² D) 18 cm²
- Hint: Multiply length times width.
- Steps:
- Calculate 6 × 4.
- Find the area.
- Answer: 24
[Hard] Volume Calculation
- EN: If a cube has a side length of 3 cm, what is its volume?
- FR: Si un cube a une longueur de côté de 3 cm, quelle est sa volume ?
- Choices: A) 9 cm³ B) 27 cm³ C) 18 cm³ D) 12 cm³
- Hint: Use the formula for the volume of a cube.
- Steps:
- Calculate 3 * 3 * 3.
- Find the total volume.
- Answer: 27
Grade 6 Problems
[Easy] Simple Fractions
- EN: What is 2/5 plus 1/5?
- FR: Que fait 2/5 plus 1/5 ?
- Choices: A) 1/5 B) 3/5 C) 4/5 D) 5/5
- Hint: Add the numerators together.
- Steps:
- Combine the fractions.
- Simplify if needed.
- Answer: 3/5
[Easy] Ratio of Apples
- EN: If you have 4 apples and 2 bananas, what is the ratio of apples to bananas?
- FR: Si tu as 4 pommes et 2 bananes, quel est le rapport entre les pommes et les bananes ?
- Choices: A) 2:1 B) 3:1 C) 4:1 D) 1:2
- Hint: Compare the two numbers.
- Steps:
- Identify the number of apples and bananas.
- Write the ratio.
- Answer: 2:1
[Easy] Finding a Percent
- EN: What is 25% of 80?
- FR: Que fait 25 % de 80 ?
- Choices: A) 10 B) 20 C) 30 D) 25
- Hint: Remember that 25% means one-quarter.
- Steps:
- Divide 80 by 4.
- Find the percent.
- Answer: 20
[Easy] Adding Integers
- EN: What is -3 + 5?
- FR: Que fait -3 + 5 ?
- Choices: A) 1 B) 2 C) -1 D) 3
- Hint: Start at -3 and move up.
- Steps:
- Add 5 to -3.
- Find the total.
- Answer: 2
[Medium] Fraction Multiplication
- EN: What is 3/4 times 2/3?
- FR: Que fait 3/4 fois 2/3 ?
- Choices: A) 1/2 B) 1/4 C) 1 D) 1/6
- Hint: Multiply the numerators and denominators.
- Steps:
- Calculate 3 times 2 and 4 times 3.
- Simplify the fraction if needed.
- Answer: 1/2
[Medium] Finding Mean
- EN: What is the mean of 4, 6, and 8?
- FR: Quelle est la moyenne de 4, 6 et 8 ?
- Choices: A) 6 B) 7 C) 8 D) 5
- Hint: Add the numbers then divide by how many there are.
- Steps:
- Find the total sum.
- Divide by 3.
- Answer: 6
[Medium] Solving an Equation
- EN: If x + 3 = 7, what is x?
- FR: Si x + 3 = 7, quelle est la valeur de x ?
- Choices: A) 4 B) 3 C) 5 D) 6
- Hint: Think about what number plus 3 equals 7.
- Steps:
- Subtract 3 from 7.
- Find x.
- Answer: 4
[Medium] Calculating Ratio
- EN: In a recipe, the ratio of flour to sugar is 2:1. If you have 4 cups of flour, how much sugar do you need?
- FR: Dans une recette, le rapport de farine à sucre est de 2:1. Si tu as 4 tasses de farine, combien de sucre as-tu besoin ?
- Choices: A) 1 cup B) 2 cups C) 3 cups D) 4 cups
- Hint: Divide the flour amount based on the ratio.
- Steps:
- Use the ratio to find sugar needed.
- Calculate accordingly.
- Answer: 2
[Hard] Order of Operations
- EN: What is 5 + 3 times 2?
- FR: Que fait 5 + 3 fois 2 ?
- Choices: A) 11 B) 16 C) 10 D) 12
- Hint: Remember PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
- Steps:
- Multiply before adding.
- Calculate the final total.
- Answer: 11
[Hard] Percent of a Number
- EN: What is 15% of 200?
- FR: Que fait 15 % de 200 ?
- Choices: A) 30 B) 25 C) 15 D) 35
- Hint: Convert percentage to a decimal and then multiply.
- Steps:
- Change 15% to 0.15.
- Calculate 0.15 × 200.
- Answer: 30
[Hard] Simple Algebra
- EN: Solve for x: 4x = 20.
- FR: Résoudre pour x : 4x = 20.
- Choices: A) 4 B) 5 C) 6 D) 3
- Hint: Think about what times 4 gives you 20.
- Steps:
- Divide 20 by 4.
- Find the value of x.
- Answer: 5
[Hard] Mixed Numbers
- EN: What is 2 and 2/3 minus 1 and 1/3?
- FR: Que fait 2 et 2/3 moins 1 et 1/3 ?
- Choices: A) 1 and 1/3 B) 1 and 2/3 C) 2 D) 1
- Hint: Convert to improper fractions first.
- Steps:
- Find a common denominator.
- Subtract the fractions.
- Answer: 1 and 1/3
Grade 7 Problems
[Easy] Adding Integers
- EN: What is -3 + 7?
- FR: Que fait -3 + 7 ?
- Choices: A) 4 B) 3 C) 5 D) -4
- Hint: Start at -3 and count up to 7.
- Steps:
- Add 7 to -3.
- Find the total.
- Answer: 4
[Easy] Finding a Ratio
- EN: If there are 10 apples and 5 oranges, what’s the ratio of apples to oranges?
- FR: S'il y a 10 pommes et 5 oranges, quel est le rapport entre les pommes et les oranges ?
- Choices: A) 2:1 B) 1:2 C) 3:1 D) 1:4
- Hint: Compare the two amounts.
- Steps:
- Write the relationship.
- Simplify if needed.
- Answer: 2:1
[Easy] Converting Percent to Decimal
- EN: What is 50% as a decimal?
- FR: Que fait 50 % en décimal ?
- Choices: A) 0.5 B) 0.25 C) 1 D) 0.75
- Hint: Remember to divide by 100.
- Steps:
- Change percent to decimal.
- Find the value.
- Answer: 0.5
[Easy] Subtracting Integers
- EN: What is 5 - -2?
- FR: Que fait 5 - -2 ?
- Choices: A) 7 B) 3 C) 4 D) 2
- Hint: Subtracting a negative makes it positive.
- Steps:
- Think of it as 5 + 2.
- Calculate the result.
- Answer: 7
[Medium] Solving a One-Step Equation
- EN: If x - 5 = 10, what is x?
- FR: Si x - 5 = 10, quelle est la valeur de x ?
- Choices: A) 5 B) 15 C) 10 D) 20
- Hint: Add 5 to both sides to solve for x.
- Steps:
- Find x.
- Add to both sides.
- Answer: 15
[Medium] Finding Percent of a Number
- EN: What is 25% of 200?
- FR: Que fait 25 % de 200 ?
- Choices: A) 25 B) 50 C) 75 D) 100
- Hint: Convert the percentage to a decimal.
- Steps:
- Calculate 0.25 times 200.
- Find the total.
- Answer: 50
[Medium] Probability Problem
- EN: If there are 3 blue marbles and 5 red marbles, what is the probability of picking a blue marble?
- FR: S'il y a 3 billes bleues et 5 billes rouges, quelle est la probabilité de choisir une bille bleue ?
- Choices: A) 3/8 B) 5/8 C) 1/2 D) 3/5
- Hint: Consider total marbles.
- Steps:
- Add total marbles.
- Calculate the probability.
- Answer: 3/8
[Medium] Finding the Mean
- EN: What is the mean of the numbers 3, 5, 7?
- FR: Quelle est la moyenne des chiffres 3, 5, 7 ?
- Choices: A) 4 B) 5 C) 6 D) 7
- Hint: Add them up and divide by how many numbers there are.
- Steps:
- Find the sum.
- Divide by 3.
- Answer: 5
[Hard] Solving Two-Step Equations
- EN: Solve for x: 2x + 3 = 11.
- FR: Résoudre pour x : 2x + 3 = 11.
- Choices: A) 2 B) 5 C) 3 D) 4
- Hint: First, subtract 3, then divide by 2.
- Steps:
- Isolate x.
- Find its value.
- Answer: 4
[Hard] Area Calculation
- EN: What is the area of a triangle with a base of 10 cm and a height of 5 cm?
- FR: Quelle est la surface d'un triangle avec une base de 10 cm et une hauteur de 5 cm ?
- Choices: A) 25 cm² B) 35 cm² C) 20 cm² D) 15 cm²
- Hint: Use the formula (base × height) ÷ 2.
- Steps:
- Calculate (10 * 5)/2.
- Find the area.
- Answer: 25
[Hard] Percent Change Calculation
- EN: If a price goes from $50 to $40, what is the percent decrease?
- FR: Si un prix passe de 50 $ à 40 $, quelle est la diminution en pourcentage ?
- Choices: A) 10% B) 20% C) 15% D) 30%
- Hint: Find the difference and divide by the original price.
- Steps:
- Calculate the change in price.
- Find the percent.
- Answer: 20%
[Hard] Probability of Combined Events
- EN: If you have 4 red and 6 blue marbles, what is the probability of picking a red marble first and then a blue one?
- FR: Si tu as 4 billes rouges et 6 billes bleues, quelle est la probabilité de choisir une bille rouge d'abord et ensuite une bleue ?
- Choices: A) 4/10 * 6/10 B) 6/10 * 4/10 C) 1/5 D) 1/10
- Hint: Multiply the probabilities of each event.
- Steps:
- Find the total marbles.
- Calculate the probability.
- Answer: 24/100 or 12/50
Grade 8 Problems
[Easy] Area of a Rectangle
- EN: What is the area of a rectangle with length 5 cm and width 10 cm?
- FR: Quelle est la surface d'un rectangle de 5 cm de long et 10 cm de large ?
- Choices: A) 15 cm² B) 50 cm² C) 60 cm² D) 100 cm²
- Hint: Multiply length by width.
- Steps:
- Calculate 5 × 10.
- Find the area.
- Answer: 50
[Easy] Solving Simple Equations
- EN: If x + 3 = 10, what is x?
- FR: Si x + 3 = 10, quelle est la valeur de x ?
- Choices: A) 5 B) 7 C) 10 D) 12
- Hint: Subtract 3 from both sides.
- Steps:
- Isolate x.
- Calculate.
- Answer: 7
[Easy] Finding Mean
- EN: What is the mean of the numbers 4, 8, and 12?
- FR: Quelle est la moyenne des chiffres 4, 8 et 12 ?
- Choices: A) 8 B) 7 C) 6 D) 10
- Hint: Add and divide.
- Steps:
- Find the total and divide by 3.
- Answer: 8
[Easy] Finding Percentages
- EN: What is 10% of 50?
- FR: Que fait 10 % de 50 ?
- Choices: A) 5 B) 4 C) 6 D) 8
- Hint: Divide by 10.
- Steps:
- Calculate 50 ÷ 10.
- Answer: 5
[Medium] Solving Algebraic Expressions
- EN: If 7y = 21, what is y?
- FR: Si 7y = 21, quelle est la valeur de y ?
- Choices: A) 3 B) 4 C) 5 D) 6
- Hint: Divide both sides by 7.
- Steps:
- Solve for y.
- Find the value.
- Answer: 3
[Medium] Finding the Volume of a Cylinder
- EN: What is the volume of a cylinder with radius 3 cm and height 5 cm? (Use π = 3)
- FR: Quel est le volume d'un cylindre de rayon 3 cm et de hauteur 5 cm ? (Utiliser π = 3)
- Choices: A) 45 cm³ B) 30 cm³ C) 25 cm³ D) 60 cm³
- Hint: Use the formula V = πr²h.
- Steps:
- Calculate using provided values.
- Answer: 45
[Medium] Finding Slope
- EN: What is the slope of the line that passes through (1,2) and (3,4)?
- FR: Quelle est la pente de la ligne qui passe par (1,2) et (3,4) ?
- Choices: A) 1 B) 2 C) 3 D) 4
- Hint: Use the slope formula (y2 - y1)/(x2 - x1).
- Steps:
- Plug in the points and calculate.
- Answer: 1
[Medium] Simple Geometry
- EN: What is the perimeter of a triangle with sides 5 cm, 6 cm, and 7 cm?
- FR: Quelle est la circonférence d'un triangle avec des côtés de 5 cm, 6 cm et 7 cm ?
- Choices: A) 18 cm B) 20 cm C) 15 cm D) 14 cm
- Hint: Add all sides together.
- Steps:
- Sum the lengths of each side.
- Answer: 18
[Hard] Solving Inequalities
- EN: If 2x + 3 < 11, what is the maximum value of x?
- FR: Si 2x + 3 < 11, quelle est la valeur maximale de x ?
- Choices: A) 4 B) 5 C) 3 D) 2
- Hint: Isolate x and simplify.
- Steps:
- Subtract 3, then divide by 2.
- Answer: 4
[Hard] Finding Surface Area
- EN: What is the surface area of a cube with a side length of 2 cm?
- FR: Quelle est la surface d'un cube de 2 cm de côté ?
- Choices: A) 24 cm² B) 12 cm² C) 6 cm² D) 8 cm²
- Hint: Use the formula 6a².
- Steps:
- Calculate 6 times side squared.
- Answer: 24
[Hard] Solving for x
- EN: If 3x - 4 = 11, what is the value of x?
- FR: Si 3x - 4 = 11, quelle est la valeur de x ?
- Choices: A) 3 B) 5 C) 6 D) 2
- Hint: Add 4 to both sides and divide by 3.
- Steps:
- Solve for x.
- Find the result.
- Answer: 5
[Hard] Finding the Volume of a Cone
- EN: What is the volume of a cone with a radius of 3 cm and height of 9 cm? (Use π = 3)
- FR: Quel est le volume d'un cône avec un rayon de 3 cm et une hauteur de 9 cm ? (Utiliser π = 3)
- Choices: A) 27 cm³ B) 30 cm³ C) 36 cm³ D) 54 cm³
- Hint: Use the formula V = (1/3)πr²h.
- Steps:
- Calculate using provided values.
- Answer: 27
Grade 9 Problems
[Easy] Surface Area
- EN: What is the surface area of a rectangle with length 5 cm and width 3 cm?
- FR: Quelle est la surface d'un rectangle de 5 cm de long et de 3 cm de large ?
- Choices: A) 15 cm² B) 8 cm² C) 20 cm² D) 25 cm²
- Hint: Multiply length by width.
- Steps:
- Calculate 5 × 3.
- Find the area.
- Answer: 15
[Easy] Adding Fractions
- EN: What is 1/3 + 1/6?
- FR: Que fait 1/3 + 1/6 ?
- Choices: A) 1/2 B) 1/3 C) 1/6 D) 2/3
- Hint: Find a common denominator.
- Steps:
- Convert fractions and add.
- Answer: 1/2
[Easy] Solving Simple Equations
- EN: If x - 4 = 10, what is x?
- FR: Si x - 4 = 10, quelle est la valeur de x ?
- Choices: A) 14 B) 12 C) 10 D) 8
- Hint: Add 4 to both sides.
- Steps:
- Solve for x.
- Answer: 14
[Easy] Simplifying Expressions
- EN: What is 5x + 2x?
- FR: Que fait 5x + 2x ?
- Choices: A) 6x B) 7x C) 4x D) 3x
- Hint: Combine like terms.
- Steps:
- Add the coefficients of x.
- Answer: 7x
[Medium] Solving Quadratic Equations
- EN: What are the roots of the equation x² - 9 = 0?
- FR: Quelles sont les racines de l'équation x² - 9 = 0 ?
- Choices: A) 3 and -3 B) ±9 C) ±3 D) 0
- Hint: Factor the equation.
- Steps:
- Isolate x.
- Answer: 3 and -3
[Medium] Finding the Mean
- EN: What is the mean of the following numbers: 2, 6, 10, 14?
- FR: Quelle est la moyenne des chiffres suivants: 2, 6, 10, 14 ?
- Choices: A) 8 B) 10 C) 6 D) 12
- Hint: Add and divide by how many numbers.
- Steps:
- Find the total.
- Calculate the mean.
- Answer: 8
[Medium] Slope Calculation
- EN: What is the slope of the line between the points (2, 3) and (4, 7)?
- FR: Quelle est la pente de la ligne entre les points (2, 3) et (4, 7) ?
- Choices: A) 2 B) 4 C) 1 D) 3
- Hint: Use the slope formula (y2 - y1)/(x2 - x1).
- Steps:
- Calculate the change in y over the change in x.
- Answer: 2
[Medium] Solving Systems of Equations
- EN: If 2x + 3y = 12 and x = 3, what is y?
- FR: Si 2x + 3y = 12 et x = 3, quelle est y ?
- Choices: A) 0 B) 1 C) 2 D) 3
- Hint: Substitute x into the equation.
- Steps:
- Solve for y.
- Answer: 2
[Hard] Quadratic Equation
- EN: What are the roots of the equation x² + 5x + 6 = 0?
- FR: Quelles sont les racines de l'équation x² + 5x + 6 = 0 ?
- Choices: A) -2 and -3 B) 2 and 3 C) -1 and -6 D) 1 and 6
- Hint: Try to factor the quadratic.
- Steps:
- Find factors.
- Answer: -2 and -3
[Hard] Simple Trigonometry
- EN: In a right triangle, if one angle is 30 degrees, what is the sine of that angle?
- FR: Dans un triangle rectangle, si un angle mesure 30 degrés, quelle est le sinus de cet angle ?
- Choices: A) 1/2 B) 0.5 C) 0.866 D) 1
- Hint: Remember your special angle values.
- Steps:
- Recall sine values for 30 degrees.
- Answer: 1/2
[Hard] Probability Problem
- EN: If there are 5 red balls and 5 blue balls, what is the probability of drawing a red ball?
- FR: S'il y a 5 billes rouges et 5 billes bleues, quelle est la probabilité de tirer une bille rouge ?
- Choices: A) 1/2 B) 1/3 C) 1/4 D) 1
- Hint: Total outcomes versus desired outcome.
- Steps:
- Calculate probability.
- Answer: 1/2
[Hard] Using the Formula
- EN: What is the area of a circle with a radius of 4 cm? (Use π = 3.14)
- FR: Quelle est la surface d'un cercle avec un rayon de 4 cm ? (Utiliser π = 3.14)
- Choices: A) 50.24 B) 37.76 C) 35.14 D) 32.00
- Hint: Use A = πr².
- Steps:
- Calculate π × (4)².
- Answer: 50.24
Grade 10 Problems
[Easy] Solving Linear Equations
- EN: If 2x + 4 = 10, what is x?
- FR: Si 2x + 4 = 10, quelle est la valeur de x ?
- Choices: A) 2 B) 3 C) 5 D) 7
- Hint: Subtract 4, then divide by 2.
- Steps:
- Isolate x.
- Answer: 3
[Easy] Finding Slope
- EN: What is the slope of the line that passes through (1,2) and (3,4)?
- FR: Quelle est la pente de la ligne qui passe par (1,2) et (3,4) ?
- Choices: A) 2 B) 1 C) 0 D) -1
- Hint: Use (y2 - y1) / (x2 - x1).
- Steps:
- Calculate the values.
- Answer: 1
[Easy] Quadratic Formula
- EN: If x² - 4x + 4 = 0, what are the roots of the equation?
- FR: Si x² - 4x + 4 = 0, quelles sont les racines de l'équation ?
- Choices: A) 2 B) 0 C) -2 D) 4
- Hint: Factor the equation.
- Steps:
- Look for the perfect square.
- Answer: 2
[Easy] Area of Triangle
- EN: What is the area of a triangle with base 10 cm and height 5 cm?
- FR: Quelle est la surface d'un triangle avec une base de 10 cm et une hauteur de 5 cm ?
- Choices: A) 25 cm² B) 30 cm² C) 50 cm² D) 35 cm²
- Hint: Use A = 1/2 × base × height.
- Steps:
- Calculate the area.
- Answer: 25
[Medium] Solving Polynomial Equations
- EN: Solve for x: x² + 6x + 9 = 0.
- FR: Résoudre pour x : x² + 6x + 9 = 0.
- Choices: A) 0 B) 3 C) -3 D) -6
- Hint: Factor the polynomial.
- Steps:
- Find the roots.
- Answer: -3
[Medium] Finding Area of a Circle
- EN: What is the area of a circle with a radius of 7 cm? (Use π = 3.14)
- FR: Quelle est la surface d'un cercle avec un rayon de 7 cm ? (Utiliser π = 3.14)
- Choices: A) 153.86 cm² B) 100 cm² C) 154 cm² D) 140 cm²
- Hint: Use A = πr².
- Steps:
- Calculate the area.
- Answer: 153.86
[Medium] Finding the Mean
- EN: What is the mean of 1, 4, 7, 10?
- FR: Quelle est la moyenne de 1, 4, 7, 10 ?
- Choices: A) 5 B) 6 C) 3 D) 7
- Hint: Add and divide by the number of values.
- Steps:
- Find the total and divide by 4.
- Answer: 5.5
[Medium] Solving Two-Step Equations
- EN: Solve for x: 5x - 2 = 13.
- FR: Résoudre pour x : 5x - 2 = 13.
- Choices: A) 3 B) 4 C) 5 D) 6
- Hint: Add 2, then divide by 5.
- Steps:
- Isolate x.
- Answer: 3
[Hard] Finding Function Values
- EN: If f(x) = 2x + 3, what is f(4)?
- FR: Si f(x) = 2x + 3, quelle est la valeur de f(4) ?
- Choices: A) 10 B) 11 C) 12 D) 8
- Hint: Substitute 4 into the function.
- Steps:
- Calculate based on the function.
- Answer: 11
[Hard] Solving Quadratic Equations
- EN: What are the roots of the equation x² - 5x + 6 = 0?
- FR: Quelles sont les racines de l'équation x² - 5x + 6 = 0 ?
- Choices: A) 2 and 3 B) 3 and 4 C) -2 and -3 D) 1 and 2
- Hint: Factor the expression.
- Steps:
- Determine the factors.
- Answer: 2 and 3
[Hard] Probability in Events
- EN: If a bag contains 3 red, 2 blue, and 5 green marbles, what is the probability of picking a green marble?
- FR: Si un sac contient 3 billes rouges, 2 billes bleues, et 5 billes vertes, quelle est la probabilité de choisir une bille verte ?
- Choices: A) 3/10 B) 1/2 C) 1/3 D) 5/10
- Hint: Use total outcomes over favorable outcomes.
- Steps:
- Calculate the relevant probabilities.
- Answer: 5/10
[Hard] Solving Logarithm Equations
- EN: If log₂(8) = x, what is the value of x?
- FR: Si log₂(8) = x, quelle est la valeur de x ?
- Choices: A) 2 B) 3 C) 4 D) 5
- Hint: Remember that 2³ = 8.
- Steps:
- Find the exponent.
- Answer: 3
Grade 11 Problems
[Easy] Simplifying Expressions
- EN: What is 5x + 2x?
- FR: Que fait 5x + 2x ?
- Choices: A) 7x B) 10x C) 6x D) 8x
- Hint: Combine like terms.
- Steps:
- Add the coefficients.
- Answer: 7x
[Easy] Evaluating Functions
- EN: If f(x) = 3x + 4, what is f(2)?
- FR: Si f(x) = 3x + 4, quelle est la valeur de f(2) ?
- Choices: A) 10 B) 11 C) 8 D) 12
- Hint: Substitute x = 2.
- Steps:
- Calculate the value.
- Answer: 10
[Easy] Quadratic Functions
- EN: What is the vertex of the parabola represented by the equation y = x² - 4x + 6?
- FR: Quel est le sommet de la parabole représentée par l'équation y = x² - 4x + 6 ?
- Choices: A) (2, 2) B) (1, 1) C) (4, 3) D) (0, 2)
- Hint: Use vertex formula or complete the square.
- Steps:
- Find h and k of the equation.
- Answer: (2, 2)
[Easy] Basic Logarithm
- EN: What is log₁₀(100)?
- FR: Que fait log₁₀(100) ?
- Choices: A) 1 B) 2 C) 3 D) 10
- Hint: Remember 10² = 100.
- Steps:
- Determine the exponent.
- Answer: 2
[Medium] Finding Roots of Quadratic Equations
- EN: What are the roots of x² - 5x + 6 = 0?
- FR: Quelles sont les racines de x² - 5x + 6 = 0 ?
- Choices: A) 1 and 6 B) 2 and 3 C) 0 and 5 D) 5 and 6
- Hint: Factor the equation.
- Steps:
- Find factors of 6 that add to -5.
- Answer: 2 and 3
[Medium] Linear Functions
- EN: What is the slope of the line y = 2x + 3?
- FR: Quelle est la pente de la ligne y = 2x + 3 ?
- Choices: A) 2 B) 3 C) 1 D) 0
- Hint: Look at the coefficient of x.
- Steps:
- Identify the slope.
- Answer: 2
[Medium] Finding the Derivative
- EN: What is the derivative of f(x) = x² + 3x?
- FR: Quelle est la dérivée de f(x) = x² + 3x ?
- Choices: A) 2x + 3 B) 2x + 4 C) x + 3 D) 3x + 2
- Hint: Apply the power rule.
- Steps:
- Differentiate each term.
- Answer: 2x + 3
[Medium] Logarithmic Function
- EN: If log₂(x) = 3, what is x?
- FR: Si log₂(x) = 3, quelle est la valeur de x ?
- Choices: A) 4 B) 8 C) 6 D) 3
- Hint: Rewrite in exponential form.
- Steps:
- Find base raised to the power.
- Answer: 8
[Hard] Solving Compound Interest
- EN: If you invest $1000 at an interest rate of 5% per year, how much will you have after 2 years with compound interest?
- FR: Si tu investis 1000 $ à un taux d'intérêt de 5 % par an, combien auras-tu après 2 ans avec l'intérêt composé ?
- Choices: A) $1100 B) $1050 C) $1102.50 D) $1200
- Hint: Use the formula A = P(1 + r/n)^(nt).
- Steps:
- Calculate each part.
- Answer: $1102.50
[Hard] Solving Complex Logarithmic Equations
- EN: If log₁₀(2x) = 4, what is x?
- FR: Si log₁₀(2x) = 4, quelle est la valeur de x ?
- Choices: A) 100 B) 200 C) 50 D) 25
- Hint: Rewrite in exponential form.
- Steps:
- Solve for x.
- Answer: 50
[Hard] Function Composition
- EN: If f(x) = 2x and g(x) = x + 1, what is f(g(3))?
- FR: Si f(x) = 2x et g(x) = x + 1, quelle est la valeur de f(g(3)) ?
- Choices: A) 8 B) 6 C) 4 D) 5
- Hint: Find g(3) then plug it into f.
- Steps:
- Calculate inner function first.
- Answer: 8
[Hard] Probability Distribution
- EN: If a die is rolled, what is the probability of rolling an even number?
- FR: Si un dé est lancé, quelle est la probabilité de lancer un nombre pair ?
- Choices: A) 1/2 B) 1/6 C) 1/3 D) 1/4
- Hint: Count possible even outcomes.
- Steps:
- Find total and favorable outcomes.
- Answer: 1/2
Grade 12 Problems
[Easy] Finding the Mean of Data
- EN: What is the mean of the numbers 2, 3, 5, and 7?
- FR: Quelle est la moyenne des chiffres 2, 3, 5 et 7 ?
- Choices: A) 4 B) 5 C) 6 D) 7
- Hint: Add and divide by how many there are.
- Steps:
- Sum and divide.
- Answer: 4.25
[Easy] Converting Percent to Decimal
- EN: What is 20% as a decimal?
- FR: Que fait 20 % en décimal ?
- Choices: A) 0.25 B) 0.20 C) 0.5 D) 0.75
- Hint: Divide by 100.
- Steps:
- Calculate the value.
- Answer: 0.2
[Easy] Solving Simple Logarithmic Equations
- EN: If log₁₀(10) = x, what is x?
- FR: Si log₁₀(10) = x, quelle est la valeur de x ?
- Choices: A) 0 B) 1 C) 2 D) 3
- Hint: Consider what exponent equals 10.
- Steps:
- Solve for x.
- Answer: 1
[Easy] Evaluating Function Values
- EN: If f(x) = 2x + 5, what is f(3)?
- FR: Si f(x) = 2x + 5, quelle est la valeur de f(3) ?
- Choices: A) 11 B) 10 C) 8 D) 9
- Hint: Substitute x into the function.
- Steps:
- Calculate based on f(x).
- Answer: 11
[Medium] Finding the x-Intercept
- EN: What is the x-intercept of the line 2x + 3y = 6?
- FR: Quel est l'axe des x de la ligne 2x + 3y = 6 ?
- Choices: A) 3 B) 0 C) -3 D) 6
- Hint: Set y = 0 and solve for x.
- Steps:
- Solve the equation.
- Answer: 3
[Medium] Solving Quadratic Functions
- EN: What are the roots of the equation x² - 4x = 0?
- FR: Quelles sont les racines de l'équation x² - 4x = 0 ?
- Choices: A) 0 and 4 B) 2 and -2 C) 1 and 3 D) 4 and 2
- Hint: Factor the equation.
- Steps:
- Find common factors.
- Answer: 0 and 4
[Medium] Solving Inequalities
- EN: If 3x + 2 < 11, what is the maximum value of x?
- FR: Si 3x + 2 < 11, quelle est la valeur maximale de x ?
- Choices: A) 5 B) 4 C) 3 D) 2
- Hint: Isolate x.
- Steps:
- Perform operations as needed.
- Answer: 3
[Medium] Evaluating Limits
- EN: What is the limit of (2x + 1) as x approaches 3?
- FR: Quelle est la limite de (2x + 1) à mesure que x approche 3 ?
- Choices: A) 6 B) 7 C) 8 D) 9
- Hint: Substitute x with 3 in the expression.
- Steps:
- Compute value directly.
- Answer: 7
[Hard] Finding Derivatives
- EN: What is the derivative of f(x) = 3x² + 2x?
- FR: Quelle est la dérivée de f(x) = 3x² + 2x ?
- Choices: A) 6x + 2 B) 3x C) 5x D) 3x² + 2
- Hint: Apply the power rule.
- Steps:
- Differentiate each term.
- Answer: 6x + 2
[Hard] Solving Logarithmic Equations
- EN: Solve the equation 3^x = 81 for x.
- FR: Résoudre l'équation 3^x = 81 pour x.
- Choices: A) 4 B) 2 C) 3 D) 0
- Hint: Rewrite 81 as a power of 3.
- Steps:
- Equate the exponents.
- Answer: 4
[Hard] Finding Asymptotes
- EN: What is the vertical asymptote of the function f(x) = 1/(x - 3)?
- FR: Quelle est l'asymptote verticale de la fonction f(x) = 1/(x - 3) ?
- Choices: A) x = 3 B) y = 3 C) x = 0 D) y = 0
- Hint: Set the denominator to zero.
- Steps:
- Identify points.
- Answer: x = 3
[Hard] Finding Roots of Cubic Function
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