Daily Math — 2026-06-02
Grade 1 Problems
[Easy] Count the Apples
- EN: There are 5 apples on the table. How many apples if you add 3 more?
- FR: Il y a 5 pommes sur la table. Combien de pommes y a-t-il si vous en ajoutez 3?
- Choices: A) 7 B) 8 C) 9 D) 6
- Hint: Add the new apples to the ones already there.
- Steps:
- Count the apples you have.
- Add the new apples to that number.
- Answer: 8
[Easy] Sunny Days
- EN: If it was sunny for 4 days, and then sunny for 2 more days, how many sunny days were there?
- FR: S'il y a eu 4 jours ensoleillés, puis 2 jours ensoleillés de plus, combien de jours ensoleillés y a-t-il eu?
- Choices: A) 5 B) 6 C) 7 D) 8
- Hint: Count all the sunny days together.
- Steps:
- Count the first set of sunny days.
- Add the second set of sunny days.
- Answer: 6
[Easy] Comparing Numbers
- EN: Which is larger: 8 or 5?
- FR: Lequel est plus grand : 8 ou 5 ?
- Choices: A) 5 B) 8 C) 6 D) 7
- Hint: Think about how many fingers you have for each number.
- Steps:
- Look at the numbers.
- Decide which is bigger.
- Answer: 8
[Easy] Coin Counting
- EN: You have 2 loonies and 3 toonies. How many dollars do you have in total?
- FR: Vous avez 2 piastres et 3 toonies. Combien de dollars avez-vous au total ?
- Choices: A) 5 B) 6 C) 7 D) 8
- Hint: Count how much each coin is worth.
- Steps:
- Calculate the value of each type of coin.
- Add the values together.
- Answer: 8
[Medium] Snowfall Calculation
- EN: If you received 10 cm of snow one day and 5 cm the next, how much snow fell in total?
- FR: Si vous avez reçu 10 cm de neige un jour et 5 cm le lendemain, combien de neige est tombée au total ?
- Choices: A) 12 B) 14 C) 15 D) 16
- Hint: Add the two amounts of snow.
- Steps:
- Write down the total snowfall for each day.
- Add both amounts together.
- Answer: 15
[Medium] Pattern Recognition
- EN: What comes next in the pattern: 2, 4, 6, ___?
- FR: Quelle est la prochaine valeur dans le modèle : 2, 4, 6, ___ ?
- Choices: A) 7 B) 8 C) 9 D) 10
- Hint: Look at how the numbers are changing.
- Steps:
- Identify the rule in the pattern.
- Use that rule to find the next number.
- Answer: 8
[Medium] Adding Fractions
- EN: What is 1/2 + 1/2?
- FR: Quelle est la somme de 1/2 + 1/2 ?
- Choices: A) 1/2 B) 1 C) 2/2 D) 3/2
- Hint: Think about how much is in each half.
- Steps:
- Find the sum of the parts.
- Simplify the answer if needed.
- Answer: 1
[Medium] Bench Seating
- EN: A bench has 3 seats. If 2 kids sit down, how many seats are left?
- FR: Un banc a 3 sièges. Si 2 enfants s'assoient, combien de sièges restent-ils ?
- Choices: A) 0 B) 1 C) 2 D) 3
- Hint: Subtract the kids from the total seats.
- Steps:
- Count the total number of seats.
- Subtract how many are taken.
- Answer: 1
[Hard] Fractions in the Garden
- EN: You have 3/4 of a chocolate cake. You eat 1/4. How much cake is left?
- FR: Vous avez 3/4 d'un gâteau au chocolat. Vous mangez 1/4. Combien de gâteau reste-t-il ?
- Choices: A) 2/4 B) 1/2 C) 3/4 D) 1/4
- Hint: Take away the part you ate from what you had.
- Steps:
- Find out how much you ate.
- Subtract that from what you had.
- Answer: 2/4
[Hard] Snowman Counting
- EN: If each snowman uses 3 snowballs, how many snowballs do you need for 5 snowmen?
- FR: Si chaque bonhomme de neige utilise 3 boules de neige, combien de boules de neige avez-vous besoin pour 5 bonhommes de neige ?
- Choices: A) 11 B) 12 C) 8 D) 15
- Hint: Multiply the number of snowmen by the snowballs each uses.
- Steps:
- Identify the number of snowballs per snowman.
- Multiply by the total number of snowmen.
- Answer: 15
Grade 2 Problems
[Easy] Time Telling
- EN: What time is it if the clock shows 3:00?
- FR: Quelle heure est-il si l'horloge indique 3h00 ?
- Choices: A) 2:00 B) 3:00 C) 4:00 D) 5:00
- Hint: Look at the hour hand.
- Steps:
- Identify the hour.
- Determine the time shown on the clock.
- Answer: 3:00
[Easy] Coin Counting
- EN: You have 4 dimes. How much money do you have?
- FR: Vous avez 4 dimes. Combien d'argent avez-vous ?
- Choices: A) 40 cents B) 50 cents C) 30 cents D) 60 cents
- Hint: Each dime is worth 10 cents.
- Steps:
- Count the value of each dime.
- Add them together.
- Answer: 40
[Easy] Total Pencils
- EN: You have 8 pencils and your friend gives you 2 more. How many pencils do you have now?
- FR: Vous avez 8 crayons et votre ami vous en donne 2 de plus. Combien de crayons avez-vous maintenant ?
- Choices: A) 9 B) 10 C) 11 D) 12
- Hint: Add the pencils you have to the ones you received.
- Steps:
- Write down how many you started with.
- Add the extra pencils you received.
- Answer: 10
[Easy] Candy Sharing
- EN: You have 10 candies. You give 3 to your friend. How many candies do you have left?
- FR: Vous avez 10 bonbons. Vous en donnez 3 à votre ami. Combien de bonbons vous reste-t-il ?
- Choices: A) 6 B) 7 C) 8 D) 9
- Hint: Subtract the candies given away.
- Steps:
- Start with the total amount.
- Subtract the candies you gave away.
- Answer: 7
[Medium] Adding Lengths
- EN: If you have a ribbon 25 cm long and another 15 cm long, how long are they together?
- FR: Si vous avez un ruban de 25 cm de long et un autre de 15 cm, quelle est leur longueur combinée ?
- Choices: A) 40 cm B) 35 cm C) 30 cm D) 50 cm
- Hint: Add the lengths of both ribbons together.
- Steps:
- Write down the lengths.
- Add them to find the total length.
- Answer: 40
[Medium] Time Worked
- EN: If you start homework at 3:30 PM and finish at 4:15 PM, how long did you work?
- FR: Si vous commencez vos devoirs à 15h30 et terminez à 16h15, combien de temps avez-vous travaillé ?
- Choices: A) 30 minutes B) 45 minutes C) 60 minutes D) 15 minutes
- Hint: Calculate the time from start to finish.
- Steps:
- Find the difference in hours and minutes.
- Convert it into total minutes.
- Answer: 45
[Medium] Price Comparison
- EN: A toy costs $15 and a book costs $10. How much do they cost together?
- FR: Un jouet coûte 15 $ et un livre coûte 10 $. Combien coûtent-ils ensemble ?
- Choices: A) $20 B) $25 C) $30 D) $35
- Hint: Add the costs of the toy and the book.
- Steps:
- Write down the cost of each item.
- Add them together.
- Answer: 25
[Medium] Pattern Recognition
- EN: What comes next in the pattern: 5, 10, 15, ___?
- FR: Quelle est la prochaine valeur dans le modèle : 5, 10, 15, ___ ?
- Choices: A) 20 B) 25 C) 30 D) 35
- Hint: Look at how much each number increases.
- Steps:
- Identify the pattern of increase.
- Calculate the next number.
- Answer: 20
[Hard] Half of a Number
- EN: What is half of 28?
- FR: Quelle est la moitié de 28 ?
- Choices: A) 12 B) 14 C) 16 D) 18
- Hint: Divide the number by 2.
- Steps:
- Calculate half of the number.
- Answer: 14
[Hard] Making Change
- EN: You buy a toy for $8, and you give the cashier a $20 bill. How much change will you get?
- FR: Vous achetez un jouet pour 8 $ et vous donnez un billet de 20 $ au caissier. Combien de monnaie recevrez-vous ?
- Choices: A) $12 B) $10 C) $14 D) $8
- Hint: Subtract the toy's cost from the amount you paid.
- Steps:
- Find the total you paid.
- Subtract the cost of the toy.
- Answer: 12
Grade 3 Problems
[Easy] Simple Multiplication
- EN: What is 2 times 3?
- FR: Quel est le résultat de 2 fois 3 ?
- Choices: A) 5 B) 6 C) 7 D) 8
- Hint: Think of how many groups of 2 you have.
- Steps:
- Multiply the two numbers.
- Answer: 6
[Easy] Basic Addition
- EN: If you have 4 apples and you get 3 more, how many apples do you have?
- FR: Si vous avez 4 pommes et que vous en obtenez 3 de plus, combien de pommes avez-vous ?
- Choices: A) 6 B) 7 C) 8 D) 9
- Hint: Add the apples you already have.
- Steps:
- Count your apples.
- Add the new ones.
- Answer: 7
[Easy] Reading a Graph
- EN: If a graph shows 10 people liked ice cream and 5 liked cake, how many liked ice cream?
- FR: Si un graphique montre que 10 personnes aiment la crème glacée et 5 aiment le gâteau, combien de personnes aiment la crème glacée ?
- Choices: A) 5 B) 10 C) 15 D) 20
- Hint: Look for the number for ice cream.
- Steps:
- Find the value on the graph.
- Answer: 10
[Easy] Simple Division
- EN: Divide 12 cookies among 4 friends. How many does each friend get?
- FR: Divisez 12 biscuits entre 4 amis. Combien chacun reçoit-il ?
- Choices: A) 2 B) 3 C) 4 D) 5
- Hint: Share equally between the friends.
- Steps:
- Divide the total by the number of friends.
- Answer: 3
[Medium] Fraction Identification
- EN: What fraction is represented by 3 out of 4 parts filled?
- FR: Quelle fraction est représentée par 3 sur 4 parties remplies ?
- Choices: A) 1/2 B) 3/4 C) 1/4 D) 2/4
- Hint: Think about how many parts are filled compared to the whole.
- Steps:
- Count the filled parts.
- Determine the total parts.
- Answer: 3/4
[Medium] Perimeter of a Rectangle
- EN: A rectangle has a length of 5 cm and a width of 3 cm. What is its perimeter?
- FR: Un rectangle a une longueur de 5 cm et une largeur de 3 cm. Quelle est sa circonférence ?
- Choices: A) 15 cm B) 16 cm C) 8 cm D) 10 cm
- Hint: Add all the sides together.
- Steps:
- Use the formula: Perimeter = 2(length + width).
- Answer: 16
[Medium] Simple Multiplication
- EN: What is 4 times 2?
- FR: Quel est le résultat de 4 fois 2 ?
- Choices: A) 6 B) 8 C) 10 D) 12
- Hint: Multiply the two numbers.
- Steps:
- Calculate the product of the numbers.
- Answer: 8
[Medium] Adding Mixed Numbers
- EN: What is 1/2 + 1/4?
- FR: Quelle est la somme de 1/2 + 1/4 ?
- Choices: A) 1/4 B) 3/4 C) 1/2 D) 1
- Hint: Find a common denominator.
- Steps:
- Convert to the same denominator and sum.
- Answer: 3/4
[Hard] Simple Division with Remainders
- EN: If you have 29 candies and share them with 5 friends, how many candies will each friend get, and how many are left?
- FR: Si vous avez 29 bonbons et que vous les partagez avec 5 amis, combien chaque ami recevra-t-il de bonbons, et combien en restera-t-il ?
- Choices: A) 5 candies, remainder 4 B) 5 candies, remainder 5 C) 6 candies, remainder 4 D) 6 candies, remainder 5
- Hint: Perform the division and see the remainder.
- Steps:
- Divide the total by the number of friends.
- Identify how many are left over.
- Answer: 5
[Hard] Area of a Rectangle
- EN: Find the area of a rectangle with a length of 7 cm and a width of 4 cm.
- FR: Trouvez l'aire d'un rectangle de longueur 7 cm et de largeur 4 cm.
- Choices: A) 24 cm² B) 28 cm² C) 32 cm² D) 30 cm²
- Hint: Multiply length by width.
- Steps:
- Use the formula: Area = length × width.
- Answer: 28
Grade 4 Problems
[Easy] Simple Multiplication
- EN: What is 3 times 2?
- FR: Quel est le résultat de 3 fois 2 ?
- Choices: A) 5 B) 6 C) 7 D) 8
- Hint: Think of adding 3 two times.
- Steps:
- Multiply the numbers.
- Answer: 6
[Easy] Total Fruits
- EN: If you have 8 oranges and you buy 2 more, how many oranges do you have now?
- FR: Si vous avez 8 oranges et que vous en achetez 2 de plus, combien avez-vous d'oranges maintenant ?
- Choices: A) 10 B) 11 C) 9 D) 12
- Hint: Count the new oranges.
- Steps:
- Add to your current total.
- Answer: 10
[Easy] Finding Time
- EN: If it's 2:00 PM now, what time is it in 3 hours?
- FR: S'il est 14h00 maintenant, quelle heure est-il dans 3 heures ?
- Choices: A) 4:00 PM B) 5:00 PM C) 3:00 PM D) 6:00 PM
- Hint: Add the hours to the current time.
- Steps:
- Calculate the new time.
- Answer: 5:00 PM
[Easy] Money Calculation
- EN: You have 4 quarters. How much money do you have?
- FR: Vous avez 4 quarts. Combien d'argent avez-vous ?
- Choices: A) 75 cents B) 100 cents C) 50 cents D) 25 cents
- Hint: Each quarter is worth 25 cents.
- Steps:
- Calculate the total value.
- Answer: 100
[Medium] Comparing Measurements
- EN: Which is longer: 150 cm or 1.5 m?
- FR: Lequel est plus long : 150 cm ou 1,5 m ?
- Choices: A) 150 cm B) 1.5 m C) They are equal D) 100 cm
- Hint: Convert one measurement to the same unit.
- Steps:
- Compare the lengths in the same unit.
- Answer: They are equal
[Medium] Perimeter Calculation
- EN: What is the perimeter of a rectangle that is 4 cm long and 3 cm wide?
- FR: Quelle est la circonférence d'un rectangle de 4 cm de long et de 3 cm de large ?
- Choices: A) 10 cm B) 12 cm C) 14 cm D) 15 cm
- Hint: Use Perimeter = 2(length + width).
- Steps:
- Calculate the perimeter.
- Answer: 14
[Medium] Circle Area
- EN: What is the area of a square with each side 5 cm long?
- FR: Quelle est l'aire d'un carré dont chaque côté mesure 5 cm ?
- Choices: A) 20 cm² B) 25 cm² C) 30 cm² D) 35 cm²
- Hint: Use Area = side × side.
- Steps:
- Multiply the length of the sides.
- Answer: 25
[Medium] Simple Division with Remainders
- EN: If you have 22 cookies and you share them with 4 friends, how many cookies will each get?
- FR: Si vous avez 22 biscuits et que vous les partagez entre 4 amis, combien chaque ami obtiendra-t-il ?
- Choices: A) 5 B) 6 C) 7 D) 8
- Hint: Divide 22 by 4.
- Steps:
- Perform the division and find the remainder.
- Answer: 5
[Hard] Fraction Addition
- EN: What is 1/3 + 1/6?
- FR: Quelle est la somme de 1/3 + 1/6 ?
- Choices: A) 1/2 B) 1/3 C) 1/4 D) 1/6
- Hint: Find a common denominator.
- Steps:
- Convert the fractions and add.
- Answer: 1/2
[Hard] Volume Calculation
- EN: What is the volume of a rectangular box with a length of 4 cm, a width of 3 cm, and a height of 5 cm?
- FR: Quel est le volume d'une boîte rectangulaire mesurant 4 cm de long, 3 cm de large et 5 cm de haut ?
- Choices: A) 60 cm³ B) 75 cm³ C) 80 cm³ D) 50 cm³
- Hint: Use Volume = length × width × height.
- Steps:
- Multiply all dimensions together.
- Answer: 60
Grade 5 Problems
[Easy] Simple Multiplication
- EN: What is 5 times 3?
- FR: Quel est le résultat de 5 fois 3 ?
- Choices: A) 15 B) 20 C) 10 D) 25
- Hint: Count in fives.
- Steps:
- Multiply the two numbers together.
- Answer: 15
[Easy] Adding Money
- EN: If you have $2.50 and you find $1.25, how much money do you have?
- FR: Si vous avez 2,50 $ et que vous trouvez 1,25 $, combien d'argent avez-vous ?
- Choices: A) $3.50 B) $3.75 C) $4.00 D) $4.25
- Hint: Add how much you found to what you had.
- Steps:
- Calculate the total amount.
- Answer: 3.75
[Easy] Total Books
- EN: You read 7 books this month and 5 books last month. How many books did you read in total?
- FR: Vous avez lu 7 livres ce mois-ci et 5 livres le mois dernier. Combien de livres avez-vous lus au total ?
- Choices: A) 10 B) 11 C) 12 D) 13
- Hint: Add the two months' totals.
- Steps:
- Combine the quantities read.
- Answer: 12
[Easy] Comparing Lengths
- EN: Which is longer: 20 cm or 25 cm?
- FR: Lequel est plus long : 20 cm ou 25 cm ?
- Choices: A) 20 cm B) 25 cm C) They are equal D) 30 cm
- Hint: Think about measuring lines.
- Steps:
- Compare the lengths given.
- Answer: 25
[Medium] Dividing Money
- EN: If you have $10 and want to share it equally with 5 friends, how much will each receive?
- FR: Si vous avez 10 $ et que vous souhaitez le partager également avec 5 amis, combien chaque ami va-t-il recevoir ?
- Choices: A) $1 B) $2 C) $3 D) $4
- Hint: Divide the total by the number of friends.
- Steps:
- Calculate how much each friend would get.
- Answer: 2
[Medium] Subtracting Fractions
- EN: What is 3/4 - 1/4?
- FR: Quelle est la différence entre 3/4 et 1/4 ?
- Choices: A) 1/2 B) 2/4 C) 1/4 D) 3/4
- Hint: Remove the second fraction from the first.
- Steps:
- Find the difference using a common denominator.
- Answer: 1/2
[Medium] Rate Calculation
- EN: If a car travels 60 km in 1 hour, how far will it travel in 2 hours?
- FR: Si une voiture parcourt 60 km en 1 heure, quelle distance parcourra-t-elle en 2 heures ?
- Choices: A) 100 km B) 120 km C) 60 km D) 150 km
- Hint: Rate times time gives distance.
- Steps:
- Multiply the hourly rate by the number of hours.
- Answer: 120
[Medium] Area Calculation
- EN: What is the area of a rectangle measuring 8 cm by 3 cm?
- FR: Quelle est l'aire d'un rectangle mesurant 8 cm par 3 cm ?
- Choices: A) 24 cm² B) 30 cm² C) 20 cm² D) 18 cm²
- Hint: Multiply length by width.
- Steps:
- Calculate the area.
- Answer: 24
[Hard] Volume of a Prism
- EN: What is the volume of a rectangular prism with a length of 4 cm, width of 3 cm, and height of 2 cm?
- FR: Quel est le volume d'un prisme rectangulaire mesurant 4 cm de long, 3 cm de large et 2 cm de haut ?
- Choices: A) 24 cm³ B) 20 cm³ C) 12 cm³ D) 10 cm³
- Hint: Volume = length × width × height.
- Steps:
- Use the formula to calculate.
- Answer: 24
[Hard] Multiplying Fractions
- EN: What is 2/3 × 3/4?
- FR: Quel est le produit de 2/3 et 3/4 ?
- Choices: A) 1/2 B) 1/4 C) 1/3 D) 1/6
- Hint: Multiply the numerators and the denominators.
- Steps:
- Calculate the product and simplify if necessary.
- Answer: 1/2
Grade 6 Problems
[Easy] Basic Operations with Integers
- EN: What is 5 + 3?
- FR: Quel est le résultat de 5 + 3 ?
- Choices: A) 7 B) 8 C) 9 D) 10
- Hint: Count up from 5.
- Steps:
- Perform the addition.
- Answer: 8
[Easy] Simple Ratios
- EN: If a recipe calls for 2 cups of flour and 3 cups of sugar, what is the ratio of flour to sugar?
- FR: Si une recette nécessite 2 tasses de farine et 3 tasses de sucre, quel est le ratio de farine à sucre ?
- Choices: A) 2:5 B) 2:3 C) 1:2 D) 3:2
- Hint: Compare the two quantities.
- Steps:
- Identify the ratio given.
- Answer: 2:3
[Easy] Simple Percentages
- EN: What is 50% of 20?
- FR: Quel est 50 % de 20 ?
- Choices: A) 5 B) 10 C) 15 D) 20
- Hint: Think about half of the number.
- Steps:
- Calculate half of 20.
- Answer: 10
[Easy] Comparing Integers
- EN: Which is greater: -3 or -5?
- FR: Lequel est plus grand : -3 ou -5 ?
- Choices: A) -3 B) -5 C) They are equal D) -4
- Hint: Think about the number line.
- Steps:
- Compare the two integers.
- Answer: -3
[Medium] Using the Order of Operations
- EN: What is 6 + 2 × 3?
- FR: Quel est le résultat de 6 + 2 × 3 ?
- Choices: A) 12 B) 15 C) 9 D) 18
- Hint: Remember to do multiplication before addition.
- Steps:
- Apply the order of operations.
- Answer: 12
[Medium] Solving Equations
- EN: If x + 5 = 12, what is the value of x?
- FR: Si x + 5 = 12, quelle est la valeur de x ?
- Choices: A) 5 B) 6 C) 7 D) 8
- Hint: Think about what number added to 5 gives 12.
- Steps:
- Subtract 5 from both sides.
- Answer: 7
[Medium] Ratio Word Problems
- EN: A recipe needs a ratio of 2:1 for water to rice. If you use 4 cups of water, how much rice do you need?
- FR: Une recette nécessite un ratio de 2:1 pour l'eau et le riz. Si vous utilisez 4 tasses d'eau, combien de riz avez-vous besoin ?
- Choices: A) 2 cups B) 3 cups C) 4 cups D) 5 cups
- Hint: Use the ratio to find the amount of rice.
- Steps:
- Determine the rice quantity based on the ratio.
- Answer: 2
[Medium] Integer Subtraction
- EN: What is 8 - (-2)?
- FR: Quel est le résultat de 8 - (-2) ?
- Choices: A) 6 B) 8 C) 10 D) 12
- Hint: Think about subtracting a negative number.
- Steps:
- Rewrite the subtraction as addition.
- Answer: 10
[Hard] Fraction Multiplication
- EN: If you have 1/2 of a pizza and you eat 1/3 of that half, how much pizza did you eat?
- FR: Si vous avez 1/2 d'une pizza et que vous mangez 1/3 de cette moitié, combien de pizza avez-vous mangé ?
- Choices: A) 1/6 B) 1/4 C) 1/3 D) 1/2
- Hint: Multiply the fractions together.
- Steps:
- Calculate the product of 1/2 and 1/3.
- Answer: 1/6
[Hard] Solving Problems with Percentages
- EN: If a shirt costs $40 and there is a 25% discount, what is the new price?
- FR: Si une chemise coûte 40 $ et qu'il y a une remise de 25 %, quel est le nouveau prix ?
- Choices: A) $10 B) $30 C) $35 D) $25
- Hint: Subtract the discount from original price.
- Steps:
- Calculate the discount first.
- Subtract that from the original price.
- Answer: 30
[Hard] Area of a Composite Shape
- EN: A rectangle is 5 m long and 3 m wide. What is its area?
- FR: Un rectangle mesure 5 m de long et 3 m de large. Quelle est son aire ?
- Choices: A) 10 m² B) 15 m² C) 20 m² D) 25 m²
- Hint: Use Area = length × width.
- Steps:
- Multiply the two dimensions.
- Answer: 15
[Hard] Surface Area Calculation
- EN: What is the surface area of a cube with side length of 3 cm?
- FR: Quelle est la surface d'un cube avec une longueur de côté de 3 cm ?
- Choices: A) 9 cm² B) 26 cm² C) 36 cm² D) 27 cm²
- Hint: Surface Area = 6 × side².
- Steps:
- Calculate the area of one face and multiply by 6.
- Answer: 54
[Hard] Solving for Variables
- EN: If 3x = 12, what is x?
- FR: Si 3x = 12, quelle est la valeur de x ?
- Choices: A) 2 B) 3 C) 4 D) 5
- Hint: Divide both sides by 3.
- Steps:
- Isolate the variable by dividing.
- Answer: 4
[Hard] Solving Word Problems with Dollars
- EN: A book costs $15. If you buy 3 books, how much do you pay?
- FR: Un livre coûte 15 $. Si vous en achetez 3, combien paierez-vous ?
- Choices: A) $30 B) $40 C) $50 D) $60
- Hint: Multiply the cost by the number of books.
- Steps:
- Total the cost by multiplying.
- Answer: 45
[Hard] Simple Interest Calculation
- EN: If you invest $100 at a 5% annual interest rate, how much interest will you earn in one year?
- FR: Si vous investissez 100 $ à un taux d'intérêt annuel de 5 %, combien d'intérêts gagnerez-vous en un an ?
- Choices: A) $5 B) $10 C) $15 D) $20
- Hint: Use the interest formula.
- Steps:
- Calculate the interest earned.
- Answer: 5
Grade 7 Problems
[Easy] Basic Arithmetic with Integers
- EN: What is 7 - 4?
- FR: Quel est le résultat de 7 - 4 ?
- Choices: A) 3 B) 2 C) 1 D) 5
- Hint: Think about how many are left.
- Steps:
- Perform the subtraction.
- Answer: 3
[Easy] Understanding Ratios
- EN: If there are 10 apples and 5 oranges, what is the ratio of apples to oranges?
- FR: S'il y a 10 pommes et 5 oranges, quel est le ratio entre les pommes et les oranges ?
- Choices: A) 1:1 B) 2:1 C) 3:1 D) 5:2
- Hint: Compare the two amounts.
- Steps:
- Write down the ratio.
- Answer: 2:1
[Easy] Simple Division
- EN: What is 20 divided by 5?
- FR: Quel est le résultat de 20 divisé par 5 ?
- Choices: A) 3 B) 4 C) 5 D) 6
- Hint: How many groups of 5 are in 20?
- Steps:
- Perform the division.
- Answer: 4
[Easy] Fraction Understanding
- EN: What fraction represents one half?
- FR: Quelle fraction représente une demi ?
- Choices: A) 1/2 B) 2/2 C) 1/3 D) 2/1
- Hint: Think about dividing something in two equal parts.
- Steps:
- Identify the correct fraction.
- Answer: 1/2
[Medium] Working with Percentages
- EN: What is 25% of 200?
- FR: Quel est 25 % de 200 ?
- Choices: A) 25 B) 50 C) 75 D) 100
- Hint: Find a quarter of the total.
- Steps:
- Calculate the percentage.
- Answer: 50
[Medium] Combining Fractions
- EN: What is 1/4 + 1/2?
- FR: Quelle est la somme de 1/4 + 1/2 ?
- Choices: A) 5/4 B) 3/4 C) 1 D) 7/4
- Hint: Find a common denominator first.
- Steps:
- Add the fractions.
- Answer: 3/4
[Medium] Solving for x
- EN: If x + 3 = 10, what is the value of x?
- FR: Si x + 3 = 10, quelle est la valeur de x ?
- Choices: A) 6 B) 7 C) 8 D) 10
- Hint: Subtract 3 from both sides.
- Steps:
- Isolate the variable.
- Answer: 7
[Medium] Simple Area Calculation
- EN: What is the area of a rectangle that is 6 cm long and 3 cm wide?
- FR: Quelle est l'aire d'un rectangle de 6 cm de long et de 3 cm de large ?
- Choices: A) 18 cm² B) 20 cm² C) 22 cm² D) 24 cm²
- Hint: Use the Area formula.
- Steps:
- Multiply length by width.
- Answer: 18
[Hard] Solving Inequalities
- EN: Solve the inequality: 2x + 3 < 11. What can x be?
- FR: Résolvez l'inégalité : 2x + 3 < 11. Quelle peut être la valeur de x ?
- Choices: A) x < 4 B) x < 5 C) x < 6 D) x > 3
- Hint: Isolate x.
- Steps:
- Solve the inequality step by step.
- Answer: x < 4
[Hard] Surface Area Calculation
- EN: What is the surface area of a cylinder with a radius of 3 cm and a height of 5 cm?
- FR: Quelle est la surface d'un cylindre de rayon 3 cm et de hauteur 5 cm ?
- Choices: A) 60 cm² B) 54 cm² C) 75 cm² D) 100 cm²
- Hint: Use the formula for the surface area of a cylinder.
- Steps:
- Calculate the area and multiply by height.
- Answer: 54
[Hard] Finding the Mean
- EN: Find the mean of the following numbers: 2, 4, 4, 4, 5, 5, 7.
- FR: trouvez la moyenne des nombres suivants : 2, 4, 4, 4, 5, 5, 7.
- Choices: A) 4 B) 5 C) 6 D) 7
- Hint: Add all numbers, then divide by how many there are.
- Steps:
- Sum the values and divide.
- Answer: 5
[Hard] Volume of a Pyramid
- EN: What is the volume of a pyramid with a base area of 12 cm² and a height of 4 cm?
- FR: Quel est le volume d'une pyramide avec une aire de base de 12 cm² et une hauteur de 4 cm ?
- Choices: A) 16 cm³ B) 20 cm³ C) 24 cm³ D) 32 cm³
- Hint: Use the formula Volume = (1/3) × base area × height.
- Steps:
- Calculate using the correct formula.
- Answer: 16
[Hard] Ratio of Perimeter
- EN: A rectangle has a length of 8 m and a width of 4 m. What is the ratio of its perimeter to its area?
- FR: Un rectangle a une longueur de 8 m et une largeur de 4 m. Quel est le ratio de sa circonférence à son aire ?
- Choices: A) 2:1 B) 4:1 C) 1:2 D) 1:4
- Hint: Find both area and perimeter first.
- Steps:
- Calculate perimeter and area.
- Answer: 2:1
[Hard] Solving Systems of Equations
- EN: Solve the system of equations: 2x + 3y = 12 and x - y = 3.
- FR: Résolvez le système d'équations : 2x + 3y = 12 et x - y = 3.
- Choices: A) (3, 2) B) (2, 3) C) (1, 4) D) (4, 1)
- Hint: Use substitution or elimination method to find (x,y).
- Steps:
- Solve each equation step by step.
- Answer: (3, 2)
Grade 8 Problems
[Easy] Finding Square Roots
- EN: What is the square root of 16?
- FR: Quelle est la racine carrée de 16 ?
- Choices: A) 2 B) 3 C) 4 D) 5
- Hint: Think of what number multiplied by itself equals 16.
- Steps:
- Identify the square root.
- Answer: 4
[Easy] Calculating Mean
- EN: What is the mean of these numbers: 2, 3, 5?
- FR: Quelle est la moyenne de ces nombres : 2, 3, 5 ?
- Choices: A) 3 B) 4 C) 5 D) 6
- Hint: Add then divide by the number of items.
- Steps:
- Compute the mean value.
- Answer: 3
[Easy] Slope Finding
- EN: What is the slope between points (2, 3) and (3, 4)?
- FR: Quelle est la pente entre les points (2, 3) et (3, 4) ?
- Choices: A) 1 B) 2 C) 0 D) -1
- Hint: Rise over run.
- Steps:
- Calculate the change in y over the change in x.
- Answer: 1
[Easy] Estimating Percent
- EN: What is 10% of 90?
- FR: Quel est 10 % de 90 ?
- Choices: A) 9 B) 10 C) 12 D) 18
- Hint: Calculate one-tenth of the number.
- Steps:
- Take 10% of the given value.
- Answer: 9
[Medium] Solving Two-Step Equations
- EN: If 3x - 7 = 11, what is x?
- FR: Si 3x - 7 = 11, quelle est la valeur de x ?
- Choices: A) 3 B) 2 C) 4 D) 5
- Hint: Add 7 to both sides, then divide by 3.
- Steps:
- Solve the equation step by step.
- Answer: 6
[Medium] Finding the Area
- EN: What is the area of a circle with radius 5 cm?
- FR: Quelle est l'aire d'un cercle de rayon 5 cm ?
- Choices: A) 15.7 cm² B) 25 cm² C) 78.5 cm² D) 50 cm²
- Hint: Use the formula Area = πr².
- Steps:
- Calculate using π.
- Answer: 78.5
[Medium] Finding Volume
- EN: What is the volume of a cylinder with a radius of 3 cm and height of 6 cm?
- FR: Quel est le volume d'un cylindre avec un rayon de 3 cm et une hauteur de 6 cm ?
- Choices: A) 56.5 cm³ B) 72.6 cm³ C) 84.78 cm³ D) 90 cm³
- Hint: Use Volume = πr²h.
- Steps:
- Calculate the volume using the formula.
- Answer: 84.78
[Medium] Solving Linear Equations
- EN: What is the solution to the equation 2x + 4 = 12?
- FR: Quelle est la solution de l'équation 2x + 4 = 12 ?
- Choices: A) 3 B) 4 C) 5 D) 6
- Hint: Isolate x by subtracting and dividing.
- Steps:
- Solve the equation step by step.
- Answer: 4
[Hard] Pythagorean Theorem
- EN: In a right triangle, if one leg is 3 and the other is 4, what is the length of the hypotenuse?
- FR: Dans un triangle rectangle, si un côté mesure 3 et l'autre 4, quelle est la longueur de l'hypoténuse ?
- Choices: A) 5 B) 6 C) 7 D) 4.5
- Hint: Use a² + b² = c².
- Steps:
- Calculate the hypotenuse using the theorem.
- Answer: 5
[Hard] Evaluating Expressions
- EN: If x = 3, what is the value of the expression 2x² + 4x - 1?
- FR: Si x = 3, quelle est la valeur de l'expression 2x² + 4x - 1 ?
- Choices: A) 21 B) 22 C) 25 D) 20
- Hint: Substitute x and calculate.
- Steps:
- Plug in the value and simplify.
- Answer: 25
[Hard] Finding Rates
- EN: If a car travels 300 km on 25 liters of gas, what is its fuel efficiency in km/l?
- FR: Si une voiture parcourt 300 km avec 25 litres de gaz, quelle est son efficacité en km/l ?
- Choices: A) 8 km/l B) 10 km/l C) 12 km/l D) 15 km/l
- Hint: Divide distance by the amount of gas.
- Steps:
- Calculate fuel efficiency.
- Answer: 12
[Hard] Surface Area of a Sphere
- EN: What is the surface area of a sphere with a radius of 5 cm?
- FR: Quelle est la surface d'une sphère de rayon 5 cm ?
- Choices: A) 72 cm² B) 78.5 cm² C) 314 cm² D) 50 cm²
- Hint: Surface Area = 4πr².
- Steps:
- Use the formula to calculate the area.
- Answer: 314
[Hard] Finding Probability
- EN: What is the probability of drawing a red card from a standard deck of cards?
- FR: Quelle est la probabilité de tirer une carte rouge d'un jeu de cartes standard ?
- Choices: A) 1/2 B) 1/4 C) 3/4 D) 1/3
- Hint: Count the number of favorable outcomes over total outcomes.
- Steps:
- Calculate probability.
- Answer: 1/2
[Hard] Positive and Negative Integers
- EN: Calculate what is -5 + 8 - 3.
- FR: Calculez -5 + 8 - 3.
- Choices: A) -2 B) 0 C) 1 D) 3
- Hint: Process the integers step by step.
- Steps:
- Follow the order of operations.
- Answer: 0
[Hard] Simple Interest Calculation
- EN: If you save $2000 at an interest rate of 5%, what is the interest after 3 years?
- FR: Si vous économisez 2000 $ à un taux d'intérêt de 5 %, quel est l'intérêt après 3 ans ?
- Choices: A) $300 B) $150 C) $250 D) $100
- Hint: Use the interest formula: I = PRT.
- Steps:
- Calculate interest earned.
- Answer: 300
Grade 9 Problems
[Easy] Finding the Slope
- EN: What is the slope between the points (1, 2) and (3, 4)?
- FR: Quelle est la pente entre les points (1, 2) et (3, 4) ?
- Choices: A) 1 B) 2 C) 3 D) 4
- Hint: Rise/run gives slope.
- Steps:
- Calculate using the formula.
- Answer: 1
[Easy] Evaluating Expressions
- EN: If x = 2, what is the value of 5x + 3?
- FR: Si x = 2, quelle est la valeur de 5x + 3 ?
- Choices: A) 12 B) 10 C) 8 D) 6
- Hint: Replace x and calculate.
- Steps:
- Solve by substituting.
- Answer: 13
[Easy] Simple Inequality
- EN: If 3 < x < 7, what is a possible value for x?
- FR: Si 3 < x < 7, quelle est une valeur possible pour x ?
- Choices: A) 2 B) 4 C) 8 D) 1
- Hint: Look for a number between 3 and 7.
- Steps:
- Choose a suitable value.
- Answer: 4
[Easy] Finding LCM
- EN: What is the least common multiple (LCM) of 4 and 6?
- FR: Quel est le multiple commun le plus faible (M.C.D.) de 4 et 6 ?
- Choices: A) 12 B) 6 C) 8 D) 10
- Hint: Think of multiples shared by both.
- Steps:
- Find the common multiples.
- Answer: 12
[Medium] Graphing Linear Equations
- EN: What is the y-intercept of the equation y = 2x + 3?
- FR: Quel est l'ordonnée à l'origine de l'équation y = 2x + 3 ?
- Choices: A) 2 B) 3 C) 4 D) 5
- Hint: Look at the equation format.
- Steps:
- Recognize y-intercept.
- Answer: 3
[Medium] Solving Quadratic Equations
- EN: Solve for x: x² - 9 = 0.
- FR: Résolvez pour x : x² - 9 = 0.
- Choices: A) 3, -3 B) 2, -2 C) 4, -4 D) 5, -5
- Hint: Factor the equation.
- Steps:
- Find roots via factoring.
- Answer: 3, -3
[Medium] Finding Mean
- EN: Find the mean of these numbers: 2, 4, 6, 8.
- FR: Trouvez la moyenne de ces nombres : 2, 4, 6, 8.
- Choices: A) 4 B) 5 C) 6 D) 7
- Hint: Add then divide by total numbers.
- Steps:
- Calculate mean.
- Answer: 5
[Medium] Percent Calculation
- EN: A store has a 20% discount on a $50 item. What is the discount?
- FR: Un magasin a une remise de 20 % sur un article à 50 $. Quelle est la remise ?
- Choices: A) $5 B) $10 C) $15 D) $20
- Hint: Multiply the price by 20%.
- Steps:
- Compute discount value.
- Answer: 10
[Hard] Solving Simultaneous Equations
- EN: Solve for x: 2x + 3y = 12, x - y = 3.
- FR: Résolvez pour x : 2x + 3y = 12, x - y = 3.
- Choices: A) (3, 1) B) (2, 2) C) (3, 2) D) (4, 1)
- Hint: Use substitution method.
- Steps:
- Solve equations separately for x.
- Answer: (3, 2)
[Hard] Finding Volume
- EN: What is the volume of a cylinder with a radius of 2 cm and a height of 5 cm?
- FR: Quel est le volume d'un cylindre avec un rayon de 2 cm et une hauteur de 5 cm ?
- Choices: A) 20π cm³ B) 10π cm³ C) 8π cm³ D) 5π cm³
- Hint: Use V = πr²h.
- Steps:
- Substitute in volume formula.
- Answer: 20π
[Hard] Angle between Parallel Lines
- EN: What is the angle between two parallel lines?
- FR: Quel est l'angle entre deux lignes parallèles ?
- Choices: A) 0° B) 45° C) 90° D) 180°
- Hint: Think about the relationship of parallel lines.
- Steps:
- Consider geometry rules.
- Answer: 0°
[Hard] Working with Functions
- EN: If f(x) = 2x + 3, what is f(4)?
- FR: Si f(x) = 2x + 3, quelle est f(4) ?
- Choices: A) 10 B) 11 C) 12 D) 13
- Hint: Plug in x and calculate.
- Steps:
- Evaluate the function.
- Answer: 11
[Hard] Distance Between Two Points
- EN: What is the distance between points (3, 4) and (6, 8)?
- FR: Quelle est la distance entre les points (3, 4) et (6, 8) ?
- Choices: A) 3 B) 5 C) 6 D) 7
- Hint: Use the distance formula.
- Steps:
- Apply the formula d = √((x₂ - x₁)² + (y₂ - y₁)²).
- Answer: 5
[Hard] Simple Interest Calculation
- EN: If you invest $500 at 4% interest for one year, how much interest will you earn?
- FR: Si vous investissez 500 $ à un taux d'intérêt de 4 % pendant un an, combien d'intérêts gagnerez-vous ?
- Choices: A) $20 B) $15 C) $10 D) $5
- Hint: Use I = PRT formula.
- Steps:
- Calculate interest using the formula.
- Answer: 20
[Hard] Probability Calculation
- EN: If you roll a die, what is the probability of rolling an even number?
- FR: Si vous lancez un dé, quelle est la probabilité d'obtenir un nombre pair ?
- Choices: A) 1/2 B) 1/3 C) 1/4 D) 1
- Hint: Count even outcomes on a die.
- Steps:
- Calculate based on total outcomes.
- Answer: 1/2
Grade 10 Problems
[Easy] Solving Linear Equations
- EN: What is the solution to 2x + 4 = 12?
- FR: Quelle est la solution de 2x + 4 = 12 ?
- Choices: A) 4 B) 6 C) 5 D) 3
- Hint: Isolate x by subtraction and division.
- Steps:
- Solve step by step.
- Answer: 4
[Easy] Finding the Slope
- EN: What is the slope of the line represented by y = 2x + 5?
- FR: Quelle est la pente de la ligne représentée par y = 2x + 5 ?
- Choices: A) 1 B) 2 C) 3 D) 4
- Hint: Look at the coefficient of x.
- Steps:
- Identify slope directly.
- Answer: 2
[Easy] Evaluating Algebraic Expressions
- EN: Evaluate f(x) = 3x + 2 when x = 3.
- FR: Évaluez f(x) = 3x + 2 lorsque x = 3.
- Choices: A) 7 B) 8 C) 10 D) 11
- Hint: Substitute and calculate.
- Steps:
- Replace x and complete evaluation.
- Answer: 11
[Easy] Plotting Points
- EN: What is the point (3, 1) in the coordinate plane?
- FR: Quel est le point (3, 1) dans le plan coordonné ?
- Choices: A) First quadrant B) Second quadrant C) Third quadrant D) Fourth quadrant
- Hint: Identify which quadrant it lies in.
- Steps:
- Locate point on coordinate plane.
- Answer: First quadrant
[Medium] Finding the Equation
- EN: Find the equation of the line passing through (2, 3) with a slope of 4.
- FR: Trouvez l'équation de la ligne passant par (2, 3) avec une pente de 4.
- Choices: A) y = 4x - 5 B) y = 4x - 6 C) y = 4x + 1 D) y = 4x + 2
- Hint: Use the point-slope formula.
- Steps:
- Apply the formula to find the line.
- Answer: y = 4x - 5
[Medium] Solving Systems
- EN: Solve the system: 2x + 3y = 12 and x - y = 3.
- FR: Résolvez le système : 2x + 3y = 12 et x - y = 3.
- Choices: A) (3, 2) B) (2, 3) C) (4, 1) D) (1, 4)
- Hint: Use substitution or elimination method.
- Steps:
- Solve both equations.
- Answer: (3, 2)
[Medium] Standard Form to Vertex Form
- EN: Convert y = x² - 4x + 3 to vertex form.
- FR: Convertissez y = x² - 4x + 3 en forme sommet.
- Choices: A) y = (x - 2)² - 1 B) y = (x - 1)² + 2 C) y = (x + 4)² + 3 D) y = (x - 3)² + 2
- Hint: Complete the square.
- Steps:
- Rewrite expression.
- Answer: y = (x - 2)² - 1
[Medium] Area of Parallelogram
- EN: Find the area of a parallelogram with base 10 cm and height 5 cm.
- FR: Trouvez l'aire d'un parallélogramme avec une base de 10 cm et une hauteur de 5 cm.
- Choices: A) 20 cm² B) 30 cm² C) 50 cm² D) 10 cm²
- Hint: Use Area = base × height.
- Steps:
- Calculate area using the formula.
- Answer: 50
[Hard] Finding Roots
- EN: Solve for x: x² - 9 = 0.
- FR: Résolvez pour x : x² - 9 = 0.
- Choices: A) 3, -3 B) 2, -2 C) 4, -4 D) 1, -1
- Hint: Factor the equation.
- Steps:
- Apply square root method.
- Answer: 3, -3
[Hard] Volume of a Cylinder
- EN: Find the volume of a cylinder with a radius of 4 cm and height of 10 cm.
- FR: Trouvez le volume d'un cylindre de rayon 4 cm et de hauteur 10 cm.
- Choices: A) 160π cm³ B) 120π cm³ C) 200π cm³ D) 80π cm³
- Hint: Use Volume = πr²h.
- Steps:
- Calculate using the cylinder formula.
- Answer: 160π
[Hard] Quadratic Equation Roots
- EN: Find the roots of the quadratic equation: x² - 6x + 8 = 0.
- FR: Trouvez les racines de l'équation quadratique : x² - 6x + 8 = 0.
- Choices: A) (2, 4) B) (1, 6) C) (3, 3) D) (4, 2)
- Hint: Factor or use the quadratic formula.
- Steps:
- Solve using factoring or quadratic theory.
- Answer: 2, 4
[Hard] Surface Area of Sphere
- EN: Find the surface area of a sphere with a radius of 6 cm.
- FR: Trouvez la surface d'une sphère de rayon 6 cm.
- Choices: A) 144π cm² B) 72π cm² C) 66π cm² D) 36π cm²
- Hint: Use Surface Area = 4πr².
- Steps:
- Calculate based on the radius.
- Answer: 144π
[Hard] Probability Calculation
- EN: If there are 3 red and 7 blue marbles, what is the probability of picking a blue marble?
- FR: S'il y a 3 billes rouges et 7 billes bleues, quelle est la probabilité de prendre une bille bleue ?
- Choices: A) 1/4 B) 7/10 C) 1/3 D) 3/10
- Hint: Calculate favorable outcomes over total.
- Steps:
- Use the probability formula.
- Answer: 7/10
[Hard] Completing the Square
- EN: Convert x² + 4x + 1 into vertex form.
- FR: Convertissez x² + 4x + 1 en forme sommet.
- Choices: A) (x + 2)² - 3 B) (x + 2)² + 1 C) (x - 2)² - 5 D) (x + 2)² - 2
- Hint: Complete the square.
- Steps:
- Calculate using completion method.
- Answer: (x + 2)² - 3
[Hard] Solving Inequalities
- EN: Solve the inequality: 3x - 5 < 10.
- FR: Résolvez l'inégalité : 3x - 5 < 10.
- Choices: A) x < 5 B) x < 3 C) x < 2 D) x > 5
- Hint: Isolate x.
- Steps:
- Solve step by step.
- Answer: x < 5
Grade 11 Problems
[Easy] Evaluating Functions
- EN: If f(x) = 2x + 3, what is f(1)?
- FR: Si f(x) = 2x + 3, quelle est f(1) ?
- Choices: A) 4 B) 5 C) 6 D) 7
- Hint: Substitute x then calculate.
- Steps:
- Add values for evaluation.
- Answer: 5
[Easy] Finding the Domain
- EN: What is the domain of f(x) = √(x - 2)?
- FR: Quel est le domaine de f(x) = √(x - 2) ?
- Choices: A) x ≥ 2 B) x < 2 C) All real numbers D) x = 0
- Hint: Consider what makes the expression valid.
- Steps:
- Identify valid values for x.
- Answer: x ≥ 2
[Easy] Simplifying Expressions
- EN: Simplify 3x + 4x.
- FR: Simplifiez 3x + 4x.
- Choices: A) 5x B) 7x C) 6x D) 8x
- Hint: Combine like terms.
- Steps:
- Perform addition of like terms.
- Answer: 7x
[Easy] Identifying Roots
- 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, -3 B) 2, -2 C) 1, -1 D) 5, -5
- Hint: Factor the equation.
- Steps:
- Solve using roots identification.
- Answer: 3, -3
[Medium] Solving Quadratic Equations
- EN: Solve for x in the equation x² + 4x + 4 = 0.
- FR: Résolvez pour x dans l'équation x² + 4x + 4 = 0.
- Choices: A) 0 B) -2 C) 2 D) 4
- Hint: Recognize perfect square.
- Steps:
- Factor or find roots directly.
- Answer: -2
[Medium] Finding the Vertex
- EN: What is the vertex of the function y = x² - 4x + 1?
- FR: Quel est le sommet de la fonction y = x² - 4x + 1 ?
- Choices: A) (2, -3) B) (1, 2) C) (3, 0) D) (-2, 4)
- Hint: Use vertex formula or complete the square.
- Steps:
- Calculate using methods to find vertex.
- Answer: (2, -3)
[Medium] Evaluating Limits
- EN: Evaluate the limit as x approaches 3 for the function f(x) = 5x + 1.
- FR: Évaluez la limite quand x s'approche de 3 pour la fonction f(x) = 5x + 1.
- Choices: A) 14 B) 15 C) 16 D) 17
- Hint: Substitute directly if continuous.
- Steps:
- Calculate directly at the limit.
- Answer: 16
[Medium] Finding Asymptotes
- EN: What are the asymptotes of the function f(x) = 1/(x - 2)?
- FR: Quelles sont les asymptotes de la fonction f(x) = 1/(x - 2) ?
- Choices: A) y = 0 B) x = 2 C) Both A & B D) None
- Hint: Look for restrictions in the function.
- Steps:
- Identify vertical and horizontal asymptotes.
- Answer: x = 2
[Hard] Piecewise Function Evaluation
- EN: Evaluate the piecewise function f(x) = { x + 2 if x < 0, 2x - 1 if x ≥ 0 } at x = -1.
- FR: Évaluez la fonction par morceaux f(x) = { x + 2 si x < 0, 2x - 1 si x ≥ 0 } à x = -1.
- Choices: A) 1 B) 2 C) 0 D) -1
- Hint: Determine which part to use.
- Steps:
- Substitute into the correct piece.
- Answer: 1
[Hard] Analyzing Functions
- EN: What is the end behavior of the function f(x) = -x³?
- FR: Quel est le comportement à l'infini de la fonction f(x) = -x³ ?
- Choices: A) Both ends up B) Left up, right down C) Left down, right up D) Both ends down
- Hint: Consider the leading term.
- Steps:
- Analyze polynomial end behavior.
- Answer: Left up, right down
[Hard] Finding the Integral
- EN: What is the integral of f(x) = 2x?
- FR: Quelle est l'intégrale de f(x) = 2x ?
- Choices: A) x² + C B) x² C) 2x² + C D) 3x + C
- Hint: Use the power rule for integration.
- Steps: -
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