Daily Math — 2026-05-10
Grade 1 Problems
[Easy] Counting Coins
- EN: How many nickels are in 15 cents?
- FR: Combien de cinq cents y a-t-il dans 15 cents?
- Choices: A) 2 B) 3 C) 4 D) 5
- Hint: Each nickel is worth 5 cents.
- Steps:
- Find out how many 5s are in 15.
- Count the nickels.
- Answer: 3
[Easy] Adding Apples
- EN: I have 3 apples, and my friend gave me 2 more. How many apples do I have now?
- FR: J'ai 3 pommes, et mon ami m'en a donné 2 de plus. Combien de pommes ai-je maintenant ?
- Choices: A) 4 B) 5 C) 6 D) 7
- Hint: Add the two numbers together.
- Steps:
- Start with 3.
- Add 2 more apples.
- Answer: 5
[Easy] Skip Counting
- EN: Count by 5s: 5, 10, ___?
- FR: Compte par 5 : 5, 10, ___?
- Choices: A) 12 B) 15 C) 20 D) 25
- Hint: What comes after 10 when counting by 5s?
- Steps:
- Recite the pattern.
- Find the next number.
- Answer: 15
[Easy] Morning Snack
- EN: Jamie has 2 dimes. How much money does he have?
- FR: Jamie a 2 dimes. Combien d'argent a-t-il ?
- Choices: A) 10 cents B) 20 cents C) 30 cents D) 40 cents
- Hint: Each dime is worth 10 cents.
- Steps:
- Determine the value of one dime.
- Multiply by the number of dimes.
- Answer: 20
[Medium] Birthday Candles
- EN: Mia is 8 years old. How old will she be in 3 years?
- FR: Mia a 8 ans. Quel âge aura-t-elle dans 3 ans ?
- Choices: A) 10 B) 11 C) 12 D) 15
- Hint: Add 3 to 8.
- Steps:
- Start with Mia's current age.
- Add 3 to find her future age.
- Answer: 11
[Medium] Buying Tim Bits
- EN: A Tim Bit costs 1 dollar. If I buy 6, how much do I spend?
- FR: Un Tim Bit coûte 1 dollar. Si j'en achète 6, combien dépense-je ?
- Choices: A) 5 dollars B) 6 dollars C) 7 dollars D) 8 dollars
- Hint: Multiply the number of Tim Bits by their price.
- Steps:
- Determine the price for 1.
- Multiply by 6.
- Answer: 6
[Medium] compare numbers
- EN: Which is greater, 14 or 18?
- FR: Lequel est plus grand, 14 ou 18 ?
- Choices: A) 14 B) 18 C) Neither D) Both
- Hint: Think about the number line.
- Steps:
- Look at both numbers on the number line.
- Compare them.
- Answer: 18
[Medium] Simple Subtraction
- EN: I had 10 candies. I gave away 4. How many do I have left?
- FR: J'avais 10 bonbons. J'en ai donné 4. Combien m'en reste-t-il ?
- Choices: A) 6 B) 7 C) 8 D) 5
- Hint: Subtract the number given away from the total.
- Steps:
- Start with 10 candies.
- Subtract 4.
- Answer: 6
[Hard] Sharing Cookies
- EN: Alex has 24 cookies. He wants to share them equally among 6 friends. How many cookies does each friend get?
- FR: Alex a 24 biscuits. Il veut les partager également entre 6 amis. Combien chaque ami reçoit-il ?
- Choices: A) 3 B) 4 C) 5 D) 6
- Hint: Divide the total number of cookies by the number of friends.
- Steps:
- Remember to divide 24 by 6.
- Find the result.
- Answer: 4
[Hard] Half of Pizza
- EN: A pizza is cut into 8 slices. If Jim eats half of them, how many slices does he eat?
- FR: Une pizza est coupée en 8 parts. Si Jim en mange la moitié, combien de parts mange-t-il ?
- Choices: A) 2 B) 3 C) 4 D) 5
- Hint: What is half of 8?
- Steps:
- Define "half."
- Calculate the slices eaten.
- Answer: 4
Grade 2 Problems
[Easy] Adding Numbers
- EN: What is 5 + 3?
- FR: Quel est 5 + 3 ?
- Choices: A) 6 B) 7 C) 8 D) 9
- Hint: Count 3 more from 5.
- Steps:
- Count from 5.
- Add 3 more.
- Answer: 8
[Easy] Counting Coins
- EN: How many quarters are in 2 dollars?
- FR: Combien de quarts y a-t-il dans 2 dollars ?
- Choices: A) 6 B) 7 C) 8 D) 10
- Hint: Each quarter is 25 cents.
- Steps:
- Convert 2 dollars into cents.
- Divide by 25.
- Answer: 8
[Easy] Morning Time
- EN: If it’s 2:00 now, what time will it be in half an hour?
- FR: S'il est 2h00 maintenant, quelle heure sera-t-il dans une demi-heure ?
- Choices: A) 2:30 B) 3:00 C) 2:15 D) 3:15
- Hint: Add 30 minutes.
- Steps:
- Add 30 to the hour.
- Keep the same hour or change it.
- Answer: 2:30
[Easy] Simple Patterns
- EN: What comes next in this pattern: 2, 4, 6, ___?
- FR: Quelle est la suite de ce motif : 2, 4, 6, ___ ?
- Choices: A) 7 B) 8 C) 9 D) 10
- Hint: What do you add each time?
- Steps:
- Look for the number added each time.
- Find the next number.
- Answer: 8
[Medium] Buying School Supplies
- EN: If a pencil costs 3 dollars, how much do 4 pencils cost?
- FR: Si un crayon coûte 3 dollars, combien coûtent 4 crayons ?
- Choices: A) 10 B) 12 C) 15 D) 20
- Hint: Multiply the cost of one pencil by 4.
- Steps:
- Calculate 3 × 4.
- Find total cost.
- Answer: 12
[Medium] Coin Collection
- EN: Lisa has 20 coins. If 4 are dimes, how many are not dimes?
- FR: Lisa a 20 pièces. Si 4 sont des dimes, combien ne sont pas des dimes ?
- Choices: A) 12 B) 16 C) 14 D) 18
- Hint: Subtract the number of dimes from total coins.
- Steps:
- Start with 20 coins.
- Subtract 4 dimes.
- Answer: 16
[Medium] Length Measuring
- EN: A pencil is 10 cm long. How long are 3 pencils together?
- FR: Un crayon mesure 10 cm de long. Quelle est la longueur de 3 crayons ensemble ?
- Choices: A) 20 cm B) 30 cm C) 25 cm D) 15 cm
- Hint: Multiply the length of one pencil by 3.
- Steps:
- Measure one pencil's length.
- Multiply by 3.
- Answer: 30
[Medium] Time Difference
- EN: If the time is 1:30 PM now, what time was it 1 hour ago?
- FR: S'il est 13h30 maintenant, quelle heure était-il il y a une heure ?
- Choices: A) 12:30 B) 1:00 C) 1:15 D) 12:45
- Hint: Subtract 1 hour from the current time.
- Steps:
- Reduce the hour by 1.
- Remain in PM.
- Answer: 12:30
[Hard] Dividing Toys
- EN: There are 36 toys. If each child gets 4 toys, how many children are there?
- FR: Il y a 36 jouets. Si chaque enfant reçoit 4 jouets, combien d'enfants y a-t-il ?
- Choices: A) 8 B) 6 C) 9 D) 10
- Hint: Divide the total number of toys by toys per child.
- Steps:
- Calculate 36 ÷ 4.
- Find the number of children.
- Answer: 9
[Hard] Total Cost of Books
- EN: If each book costs 12 dollars and I buy 5 books, what is my total cost?
- FR: Si chaque livre coûte 12 dollars et que j'achète 5 livres, quel est mon coût total ?
- Choices: A) 50 B) 58 C) 60 D) 65
- Hint: Multiply the price of one book by total books.
- Steps:
- Calculate 12 × 5.
- Find the total price.
- Answer: 60
Grade 3 Problems
[Easy] Basic Addition
- EN: What is 6 + 7?
- FR: Quel est 6 + 7 ?
- Choices: A) 12 B) 13 C) 14 D) 15
- Hint: Count up from 6.
- Steps:
- Start with 6.
- Add 7 more.
- Answer: 13
[Easy] Counting Flowers
- EN: There are 10 flowers in the garden. 4 are red. How many flowers are not red?
- FR: Il y a 10 fleurs dans le jardin. 4 sont rouges. Combien de fleurs ne sont pas rouges ?
- Choices: A) 5 B) 6 C) 7 D) 8
- Hint: Subtract the red flowers from the total.
- Steps:
- Total flowers are 10.
- Subtract 4 red ones.
- Answer: 6
[Easy] Comparing Numbers
- EN: Which number is larger, 8 or 3?
- FR: Quel nombre est plus grand, 8 ou 3 ?
- Choices: A) 8 B) 3 C) Both are equal D) None
- Hint: Think about which is more.
- Steps:
- Look at each number.
- Determine which is larger.
- Answer: 8
[Easy] Simple Shapes
- EN: What shape has 4 equal sides?
- FR: Quelle forme a 4 côtés égaux ?
- Choices: A) Circle B) Triangle C) Square D) Rectangle
- Hint: Think about a box shape.
- Steps:
- Identify shapes with 4 sides.
- Match them.
- Answer: 4
[Medium] Multiplying by 2
- EN: What is 4 times 2?
- FR: Quel est 4 fois 2 ?
- Choices: A) 6 B) 7 C) 8 D) 9
- Hint: Adding 4 two times.
- Steps:
- Multiply 4 by 2.
- Find the product.
- Answer: 8
[Medium] Understanding Fractions
- EN: What is half of 6?
- FR: Quelle est la moitié de 6 ?
- Choices: A) 2 B) 3 C) 4 D) 5
- Hint: Think of dividing into two equal parts.
- Steps:
- Divide 6 by 2.
- Determine the result.
- Answer: 3
[Medium] Finding Volume
- EN: What is the volume of a cube with sides of 3 cm?
- FR: Quel est le volume d'un cube avec des côtés de 3 cm ?
- Choices: A) 9 cm³ B) 18 cm³ C) 27 cm³ D) 30 cm³
- Hint: Use the formula length × width × height.
- Steps:
- Calculate 3 × 3 × 3.
- Find the volume.
- Answer: 27
[Medium] Reading a Graph
- EN: A graph shows 12 apples. If 4 are green, how many are red?
- FR: Un graphique montre 12 pommes. Si 4 sont vertes, combien sont rouges ?
- Choices: A) 6 B) 8 C) 9 D) 10
- Hint: Subtract the green apples from total.
- Steps:
- Take 12 apples.
- Remove 4 green apples.
- Answer: 8
[Hard] Time Calculation
- EN: If school starts at 8:30 AM and lasts for 6 hours, what time does it end?
- FR: Si l'école commence à 8h30 et dure 6 heures, à quelle heure se termine-t-elle ?
- Choices: A) 2:30 PM B) 3:30 PM C) 1:30 PM D) 4:30 PM
- Hint: Add 6 hours to 8:30.
- Steps:
- Calculate 8:30 + 6 hours.
- Consider AM/PM.
- Answer: 2:30
[Hard] Area Calculation
- EN: What is the area of a rectangle with a length of 4 cm and a width of 3 cm?
- FR: Quelle est l'aire d'un rectangle de longueur 4 cm et de largeur 3 cm ?
- Choices: A) 10 cm² B) 12 cm² C) 14 cm² D) 15 cm²
- Hint: Use the formula length × width.
- Steps:
- Calculate 4 × 3.
- Determine the area.
- Answer: 12
Grade 4 Problems
[Easy] Basic Multiplication
- EN: What is 3 times 4?
- FR: Quel est 3 fois 4 ?
- Choices: A) 12 B) 10 C) 14 D) 16
- Hint: Add 3 four times.
- Steps:
- Calculate 3 × 4.
- Find the product.
- Answer: 12
[Easy] Comparing Fractions
- EN: Which is larger, ⅗ or ⅖?
- FR: Lequel est plus grand, ⅗ ou ⅖ ?
- Choices: A) ⅗ B) ⅖ C) They are equal D) None
- Hint: Think about the pieces.
- Steps:
- Compare the numerators.
- Determine which fraction is larger.
- Answer: ⅗
[Easy] Rectangle Area
- EN: What is the area of a rectangle that is 2 cm long and 5 cm wide?
- FR: Quelle est l'aire d'un rectangle qui mesure 2 cm de long et 5 cm de large ?
- Choices: A) 7 cm² B) 10 cm² C) 6 cm² D) 8 cm²
- Hint: Use length × width.
- Steps:
- Calculate 2 × 5.
- Find the area.
- Answer: 10
[Easy] Simple Division
- EN: What is 20 divided by 4?
- FR: Quel est 20 divisé par 4 ?
- Choices: A) 5 B) 4 C) 6 D) 10
- Hint: Think of equal groups.
- Steps:
- Determine how many times 4 fits into 20.
- Find the result.
- Answer: 5
[Medium] Long Division
- EN: What is 45 divided by 5?
- FR: Quel est 45 divisé par 5 ?
- Choices: A) 8 B) 9 C) 10 D) 7
- Hint: Find how many 5's are in 45.
- Steps:
- Divide 45 by 5.
- Get the quotient.
- Answer: 9
[Medium] Elapsed Time
- EN: If school starts at 9:00 AM and finishes at 3:00 PM, how many hours are spent at school?
- FR: Si l'école commence à 9h00 et se termine à 15h00, combien d'heures passe-t-on à l'école ?
- Choices: A) 5 hours B) 6 hours C) 4 hours D) 3 hours
- Hint: Think about the time between.
- Steps:
- Calculate hours from 9 AM to 3 PM.
- Count the total hours.
- Answer: 6
[Medium] Multiplying Fractions
- EN: What is ⅓ of 12?
- FR: Qu'est-ce que ⅓ de 12 ?
- Choices: A) 2 B) 3 C) 4 D) 5
- Hint: Divide 12 by 3.
- Steps:
- Calculate 12 ÷ 3.
- Find the answer.
- Answer: 4
[Medium] Area of a Triangle
- EN: What is the area of a triangle with a base of 6 cm and a height of 4 cm?
- FR: Quelle est l'aire d'un triangle avec une base de 6 cm et une hauteur de 4 cm ?
- Choices: A) 12 cm² B) 15 cm² C) 10 cm² D) 8 cm²
- Hint: Use A = ½ × base × height.
- Steps:
- Calculate the area.
- Find the correct answer.
- Answer: 12
[Hard] Surface Area of a Cube
- EN: What is the surface area of a cube with a side length of 3 cm?
- FR: Quelle est la surface d'un cube avec une longueur de côté de 3 cm ?
- Choices: A) 24 cm² B) 36 cm² C) 30 cm² D) 12 cm²
- Hint: Surface area = 6 × side².
- Steps:
- Calculate the area of one face.
- Multiply by 6.
- Answer: 54
[Hard] Volume of a Rectangular Prism
- EN: What is the volume of a rectangular prism with a length of 4 cm, a width of 3 cm, and a height of 5 cm?
- FR: Quel est le volume d'un prisme rectangulaire de longueur 4 cm, de largeur 3 cm et de hauteur 5 cm ?
- Choices: A) 60 cm³ B) 50 cm³ C) 40 cm³ D) 70 cm³
- Hint: Use volume = length × width × height.
- Steps:
- Calculate 4 × 3 × 5.
- Find the total volume.
- Answer: 60
Grade 5 Problems
[Easy] Simple Addition of Fractions
- EN: What is 1/4 + 1/4?
- FR: Quel est 1/4 + 1/4 ?
- Choices: A) 1/2 B) 1/4 C) 1/3 D) 3/4
- Hint: Think about combining the pieces.
- Steps:
- Add the two fractions together.
- Simplify if possible.
- Answer: 1/2
[Easy] Age Calculation
- EN: If I am 10 years old now, how old will I be in 5 years?
- FR: Si j'ai 10 ans maintenant, quel âge aurai-je dans 5 ans ?
- Choices: A) 14 B) 15 C) 16 D) 17
- Hint: Add 5 years to your current age.
- Steps:
- Start with 10.
- Add 5.
- Answer: 15
[Easy] Introduction to Percentages
- EN: What is 50% of 20?
- FR: Quel est 50 % de 20 ?
- Choices: A) 5 B) 10 C) 20 D) 15
- Hint: Think of half of 20.
- Steps:
- Calculate half of 20.
- Verify your answer.
- Answer: 10
[Easy] Finding Volume
- EN: What is the volume of a box that is 2 cm long, 3 cm wide, and 4 cm high?
- FR: Quel est le volume d'une boîte de 2 cm de long, 3 cm de large et 4 cm de haut ?
- Choices: A) 16 cm³ B) 24 cm³ C) 12 cm³ D) 20 cm³
- Hint: Use the formula length × width × height.
- Steps:
- Multiply the dimensions.
- Find the volume.
- Answer: 24
[Medium] Multiplying Fractions
- EN: What is 2/3 times 3/4?
- FR: Quel est 2/3 fois 3/4 ?
- Choices: A) 1/2 B) 1/4 C) 1/3 D) 1/6
- Hint: Multiply the numerators and denominators.
- Steps:
- Calculate (2 x 3) / (3 x 4).
- Simplify if possible.
- Answer: 1/2
[Medium] Volume of a Cylinder
- EN: What is the volume of a cylinder with a radius of 2 cm and a height of 5 cm? (Use π as 3)
- FR: Quel est le volume d'un cylindre avec un rayon de 2 cm et une hauteur de 5 cm ? (Utiliser π comme 3)
- Choices: A) 10 cm³ B) 12 cm³ C) 15 cm³ D) 18 cm³
- Hint: Volume = πr²h.
- Steps:
- Calculate the base area.
- Multiply by height.
- Answer: 12
[Medium] Percent of a Number
- EN: What is 25% of 200?
- FR: Quel est 25 % de 200 ?
- Choices: A) 50 B) 30 C) 40 D) 60
- Hint: Think of one quarter of 200.
- Steps:
- Calculate 200 divided by 4.
- Confirm the answer.
- Answer: 50
[Medium] Time Calculation
- EN: If a movie starts at 6:00 PM and lasts for 2 hours and 15 minutes, what time does it end?
- FR: Si un film commence à 18h00 et dure 2 heures et 15 minutes, à quelle heure se termine-t-il ?
- Choices: A) 8:15 PM B) 8:00 PM C) 8:30 PM D) 8:45 PM
- Hint: Add 2 hours and 15 minutes to start time.
- Steps:
- Add hours first, then minutes.
- Adjust for any time overflow.
- Answer: 8:15
[Hard] Dividing Fractions
- EN: If you have 3/4 of a pizza and you give away 1/2 of it, how much pizza do you have left?
- FR: Si vous avez 3/4 d'une pizza et que vous en donnez 1/2, combien de pizza vous reste-t-il ?
- Choices: A) 1/4 B) 1/2 C) 1/3 D) 3/8
- Hint: Multiply by the reciprocal of the fraction given away.
- Steps:
- Calculate the amount given away.
- Subtract from the original amount.
- Answer: 1/4
[Hard] Finding Missing Numbers in Equations
- EN: If 5x = 30, what is the value of x?
- FR: Si 5x = 30, quelle est la valeur de x ?
- Choices: A) 5 B) 4 C) 6 D) 9
- Hint: Think about how to isolate x.
- Steps:
- Divide 30 by 5.
- Find the value of x.
- Answer: 6
Grade 6 Problems
[Easy] Fraction of a Number
- EN: What is 1/3 of 9?
- FR: Quelle est 1/3 de 9 ?
- Choices: A) 2 B) 3 C) 4 D) 5
- Hint: Think of dividing 9 into 3 equal parts.
- Steps:
- Divide 9 by 3.
- Determine the piece size.
- Answer: 3
[Easy] Basic Ratio
- EN: The ratio of cats to dogs is 2:3. If there are 4 cats, how many dogs are there?
- FR: Le ratio de chats à chiens est de 2:3. S'il y a 4 chats, combien de chiens y a-t-il ?
- Choices: A) 6 B) 8 C) 10 D) 12
- Hint: Use the ratio to find the number of dogs.
- Steps:
- Set up the ratio equation.
- Solve for the number of dogs.
- Answer: 6
[Easy] Simple Percent Calculation
- EN: What is 10% of 50?
- FR: Quel est 10 % de 50 ?
- Choices: A) 5 B) 10 C) 15 D) 20
- Hint: Find one-tenth of 50.
- Steps:
- Calculate 50 divided by 10.
- Find the answer.
- Answer: 5
[Easy] Adding Integers
- EN: What is -3 + 7?
- FR: Quel est -3 + 7 ?
- Choices: A) 4 B) 3 C) 5 D) 6
- Hint: Think about moving up the number line.
- Steps:
- Add the positive and negative numbers.
- Find the total.
- Answer: 4
[Medium] Simple Algebra
- EN: If x + 5 = 12, what is x?
- FR: Si x + 5 = 12, quelle est la valeur de x ?
- Choices: A) 6 B) 5 C) 7 D) 8
- Hint: Subtract 5 from both sides.
- Steps:
- Isolate x by subtracting.
- Find the value.
- Answer: 7
[Medium] Order of Operations
- EN: What is 3 + 5 × 2?
- FR: Quel est 3 + 5 × 2 ?
- Choices: A) 13 B) 10 C) 8 D) 11
- Hint: Remember to do multiplication first.
- Steps:
- Perform the multiplication first.
- Add the result to 3.
- Answer: 13
[Medium] Rate Problems
- EN: If it costs 20 dollars to fill a gas tank and you can drive 400 km, what is the cost per 100 km?
- FR: Si cela coûte 20 dollars pour remplir un réservoir d'essence et que vous pouvez conduire 400 km, quel est le coût par 100 km ?
- Choices: A) 4 B) 5 C) 6 D) 7
- Hint: Divide the total cost by the distance and multiply by 100.
- Steps:
- Find cost per km first.
- Multiply by 100 for the answer.
- Answer: 5
[Medium] Solving for x
- EN: If 2x = 16, what is x?
- FR: Si 2x = 16, quelle est la valeur de x ?
- Choices: A) 6 B) 7 C) 8 D) 9
- Hint: Divide both sides by 2.
- Steps:
- Isolate x.
- Calculate.
- Answer: 8
[Hard] Working with Negatives
- EN: What is -5 + (-4)?
- FR: Quel est -5 + (-4) ?
- Choices: A) -9 B) -8 C) -7 D) -6
- Hint: Think about the total loss of 5 and 4.
- Steps:
- Combine the negative numbers.
- Find the answer.
- Answer: -9
[Hard] Complex Measures
- EN: If a recipe calls for 3/4 cup of sugar and you want to double it, how much sugar do you need?
- FR: Si une recette demande 3/4 de tasse de sucre et que vous voulez la doubler, combien de sucre avez-vous besoin ?
- Choices: A) 1 cup B) 1.5 cups C) 2 cups D) 2.5 cups
- Hint: Think of multiplying the amount by 2.
- Steps:
- Calculate 3/4 × 2.
- Find the total amount needed.
- Answer: 1.5
[Hard] Surface Area Calculation
- EN: What is the surface area of a rectangular prism that is 2 cm long, 3 cm wide, and 5 cm high?
- FR: Quelle est la surface d’un prisme rectangulaire de 2 cm de long, 3 cm de large et 5 cm de haut ?
- Choices: A) 22 cm² B) 30 cm² C) 40 cm² D) 50 cm²
- Hint: Use the formula SA = 2(lw + lh + wh).
- Steps:
- Calculate area of each face.
- Sum them for the total.
- Answer: 30
[Hard] Probability Scenario
- EN: If there are 6 red marbles and 4 blue marbles, what is the probability of drawing a red marble?
- FR: S'il y a 6 billes rouges et 4 billes bleues, quelle est la probabilité de tirer une bille rouge ?
- Choices: A) 3/5 B) 1/3 C) 1/2 D) 2/5
- Hint: Consider the total number of marbles.
- Steps:
- Calculate total marbles.
- Find fraction of red marbles.
- Answer: 3/5
Grade 7 Problems
[Easy] Adding Integers
- EN: What is -2 + 5?
- FR: Quel est -2 + 5 ?
- Choices: A) 3 B) 4 C) 5 D) 2
- Hint: Think about moving to the right on the number line.
- Steps:
- Add the positive and negative integers.
- Find the result.
- Answer: 3
[Easy] Simple Percentages
- EN: What is 50% of 80?
- FR: Quel est 50 % de 80 ?
- Choices: A) 30 B) 35 C) 40 D) 50
- Hint: What is half of 80?
- Steps:
- Calculate 80 ÷ 2.
- Verify your answer.
- Answer: 40
[Easy] Basic Ratios
- EN: The ratio of cats to dogs is 3:4. If there are 12 cats, how many dogs are there?
- FR: Le rapport de chats à chiens est de 3:4. S'il y a 12 chats, combien de chiens y a-t-il ?
- Choices: A) 14 B) 16 C) 18 D) 20
- Hint: Set up a proportion.
- Steps:
- Determine how many dogs correspond to the cats.
- Use the ratio.
- Answer: 16
[Easy] Multiplying Integers
- EN: What is 6 times -2?
- FR: Quel est 6 fois -2 ?
- Choices: A) -10 B) -12 C) 12 D) -8
- Hint: One number is negative.
- Steps:
- Multiply the two numbers.
- Keep track of the sign.
- Answer: -12
[Medium] Solving for x
- EN: If 3x + 6 = 24, what is x?
- FR: Si 3x + 6 = 24, quelle est la valeur de x ?
- Choices: A) 4 B) 6 C) 5 D) 8
- Hint: First, subtract 6 from both sides.
- Steps:
- Isolate x.
- Solve the equation.
- Answer: 6
[Medium] Area of Triangle
- EN: What is the area of a triangle with a base of 10 cm and a height of 5 cm?
- FR: Quelle est l'aire d'un triangle avec une base de 10 cm et une hauteur de 5 cm ?
- Choices: A) 15 cm² B) 25 cm² C) 40 cm² D) 50 cm²
- Hint: Area = 1/2 × base × height.
- Steps:
- Calculate using the formula.
- Find the correct area.
- Answer: 25
[Medium] Decimal Operations
- EN: What is 3.5 + 4.5?
- FR: Quel est 3,5 + 4,5 ?
- Choices: A) 8 B) 7 C) 9 D) 10
- Hint: Add the numbers like whole numbers.
- Steps:
- Align decimals.
- Perform the addition.
- Answer: 8
[Medium] Surface Area of Rectangular Prism
- EN: What is the surface area of a rectangular prism with dimensions 2 cm, 3 cm, and 4 cm?
- FR: Quelle est la surface d'un prisme rectangulaire de dimensions 2 cm, 3 cm et 4 cm ?
- Choices: A) 32 cm² B) 24 cm² C) 20 cm² D) 18 cm²
- Hint: Use SA = 2(lw + lh + wh).
- Steps:
- Calculate each area.
- Add to find total surface area.
- Answer: 44
[Hard] Working with Decimals
- EN: What is 7.5 divided by 2.5?
- FR: Quel est 7,5 divisé par 2,5 ?
- Choices: A) 3 B) 5 C) 2 D) 6
- Hint: Think of how many times 2.5 fits into 7.5.
- Steps:
- Perform the division.
- Confirm the answer.
- Answer: 3
[Hard] Solving Inequalities
- EN: Solve for x: 2x + 4 < 12.
- FR: Résoudre pour x : 2x + 4 < 12.
- Choices: A) x < 4 B) x < 5 C) x < 3 D) x < 6
- Hint: Isolate x on one side.
- Steps:
- Subtract 4, then divide by 2.
- Check inequality.
- Answer: x < 4
[Hard] Probability Calculation
- EN: If a bag contains 3 red balls and 2 blue balls, what is the probability of drawing a red ball?
- FR: Si un sac contient 3 billes rouges et 2 billes bleues, quelle est la probabilité de tirer une bille rouge ?
- Choices: A) 1/3 B) 2/5 C) 2/3 D) 3/5
- Hint: Think about favorable outcomes over total outcomes.
- Steps:
- Find total balls.
- Divide red balls by total.
- Answer: 3/5
[Hard] Finding Mean Average
- EN: What is the mean of the numbers 4, 8, and 12?
- FR: Quelle est la moyenne des nombres 4, 8 et 12 ?
- Choices: A) 8 B) 10 C) 12 D) 14
- Hint: Add all numbers, then divide by how many there are.
- Steps:
- Sum the numbers.
- Divide by 3.
- Answer: 8
[Hard] 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) 1 B) 2 C) 3 D) 4
- Hint: Substitute the value of x into the equation.
- Steps:
- Solve for y after substitution.
- Verify.
- Answer: 2
[Hard] Calculate Median
- EN: What is the median of the numbers 7, 12, 3, 5, 8?
- FR: Quelle est la médiane des nombres 7, 12, 3, 5, 8 ?
- Choices: A) 7 B) 5 C) 8 D) 6
- Hint: Arrange numbers in order first.
- Steps:
- List numbers from smallest to largest.
- Find the middle value.
- Answer: 7
[Hard] Finding Surface Area of Sphere
- EN: If a sphere has a radius of 3 cm, what is its surface area? (Use π as 3)
- FR: Si une sphère a un rayon de 3 cm, quelle est sa surface ? (Utiliser π comme 3)
- Choices: A) 24 cm² B) 54 cm² C) 36 cm² D) 28 cm²
- Hint: Use SA = 4πr².
- Steps:
- Calculate using the radius.
- Multiply for total area.
- Answer: 36
Grade 8 Problems
[Easy] Finding the Slope
- EN: What is the slope of the line between points (1, 2) and (3, 6)?
- FR: Quelle est la pente de la ligne entre les points (1, 2) et (3, 6) ?
- Choices: A) 2 B) 3 C) 4 D) 1
- Hint: Use (y2 - y1)/(x2 - x1).
- Steps:
- Substitute values into the formula.
- Simplify to find the slope.
- Answer: 2
[Easy] Simple Square Roots
- EN: What is the square root of 16?
- FR: Quelle est la racine carrée de 16 ?
- Choices: A) 2 B) 4 C) 5 D) 3
- Hint: Think of the number that multiplies by itself to get 16.
- Steps:
- Identify pairs that equal 16.
- Find the base number.
- Answer: 4
[Easy] Simple Equations
- EN: If x - 5 = 3, what is x?
- FR: Si x - 5 = 3, quelle est la valeur de x ?
- Choices: A) 7 B) 8 C) 5 D) 6
- Hint: Isolate x by adding 5.
- Steps:
- Solve for x.
- Confirm your answer.
- Answer: 8
[Easy] Finding Average
- EN: What is the average of 2, 4, and 6?
- FR: Quelle est la moyenne de 2, 4 et 6 ?
- Choices: A) 3 B) 4 C) 5 D) 6
- Hint: Sum the numbers and divide by how many.
- Steps:
- Calculate total.
- Divide by 3.
- Answer: 4
[Medium] Two-Step Equations
- EN: If 2(x + 3) = 16, what is x?
- FR: Si 2(x + 3) = 16, quelle est la valeur de x ?
- Choices: A) 5 B) 4 C) 6 D) 7
- Hint: Divide both sides by 2 first.
- Steps:
- Solve the equation step-by-step.
- Verify x's value.
- Answer: 4
[Medium] Calculating Mean
- EN: What is the mean of 10, 20, and 30?
- FR: Quelle est la moyenne de 10, 20 et 30 ?
- Choices: A) 20 B) 25 C) 30 D) 15
- Hint: Add numbers, then divide by count.
- Steps:
- Calculate total sum.
- Divide by number of items.
- Answer: 20
[Medium] Basic Geometry
- EN: What is the area of a rectangle with a length of 5 cm and a width of 7 cm?
- FR: Quelle est l'aire d'un rectangle avec une longueur de 5 cm et une largeur de 7 cm ?
- Choices: A) 35 cm² B) 25 cm² C) 15 cm² D) 45 cm²
- Hint: Use area = length × width.
- Steps:
- Multiply the given dimensions.
- Find area.
- Answer: 35
[Medium] Number Patterns
- EN: What is the next number in the sequence 2, 4, 6, 8, ___?
- FR: Quel est le prochain nombre dans la séquence 2, 4, 6, 8, ___ ?
- Choices: A) 10 B) 12 C) 9 D) 11
- Hint: Identify the pattern.
- Steps:
- Look at the increments.
- Predict the next step.
- Answer: 10
[Hard] Slope-Intercept Form
- EN: What is the slope of the line given by the equation y = 2x + 1?
- FR: Quelle est la pente de la ligne donnée par l'équation y = 2x + 1 ?
- Choices: A) 1 B) 2 C) 3 D) 0
- Hint: Identify the coefficient of x.
- Steps:
- Understand slope-intercept form.
- Recognize the slope.
- Answer: 2
[Hard] Pythagorean Theorem
- EN: What is the length of the hypotenuse of a right triangle with legs of 3 cm and 4 cm?
- FR: Quelle est la longueur de l'hypoténuse d'un triangle rectangle avec des côtés de 3 cm et 4 cm ?
- Choices: A) 5 cm B) 6 cm C) 7 cm D) 8 cm
- Hint: Use a² + b² = c².
- Steps:
- Calculate using the Pythagorean theorem.
- Find c.
- Answer: 5
[Hard] Surface Area Calculation
- EN: What is the surface area of a cube with a side length of 6 cm?
- FR: Quelle est la surface d'un cube avec une longueur de côté de 6 cm ?
- Choices: A) 72 cm² B) 36 cm² C) 48 cm² D) 60 cm²
- Hint: Use SA = 6a².
- Steps:
- Calculate using the formula.
- Confirm your answer.
- Answer: 216
[Hard] Factorization
- EN: What are the factors of 24?
- FR: Quels sont les facteurs de 24 ?
- Choices: A) 1, 2, 3, 4, 6, 8, 12, 24 B) 2, 4, 6, 12 C) 1, 24 D) 2, 12
- Hint: Think of all numbers that multiply to 24.
- Steps:
- List all factor pairs.
- Confirm completeness.
- Answer: 1, 2, 3, 4, 6, 8, 12, 24
Grade 9 Problems
[Easy] Solving for x
- EN: If x + 5 = 10, what is x?
- FR: Si x + 5 = 10, quelle est la valeur de x ?
- Choices: A) 4 B) 5 C) 6 D) 7
- Hint: Subtract 5 from both sides.
- Steps:
- Isolate x.
- Solve for x.
- Answer: 5
[Easy] Understanding Inequalities
- EN: Which is a true statement? 2 < 5 or 5 < 2?
- FR: Quelle est une déclaration vraie ? 2 < 5 ou 5 < 2 ?
- Choices: A) 2 < 5 B) 5 < 2 C) Both D) Neither
- Hint: Compare the numbers.
- Steps:
- Evaluate both statements.
- Determine which is true.
- Answer: 2 < 5
[Easy] Converting Percentages
- EN: What is 25% as a fraction?
- FR: Quelle est la fraction de 25 % ?
- Choices: A) 1/4 B) 1/3 C) 1/5 D) 1/2
- Hint: Think of quarters.
- Steps:
- Translate percentage to a fraction.
- Simplify.
- Answer: 1/4
[Easy] Finding Similar Triangles
- EN: If triangle A has sides 6 cm, 8 cm, and 10 cm, what is the smallest side?
- FR: Si le triangle A a des côtés de 6 cm, 8 cm et 10 cm, quel est le plus petit côté ?
- Choices: A) 6 cm B) 8 cm C) 10 cm D) 9 cm
- Hint: Compare the lengths.
- Steps:
- Identify the smallest number.
- Confirm.
- Answer: 6
[Medium] Solving Linear Equations
- EN: What is 3x - 4 = 5?
- FR: Quelle est 3x - 4 = 5 ?
- Choices: A) 3 B) 4 C) 5 D) 2
- Hint: Add 4 to both sides.
- Steps:
- Isolate x then divide by 3.
- Solve x.
- Answer: 3
[Medium] Finding Slope
- EN: What is the slope of the line that passes through (1,2) and (3,8)?
- FR: Quelle est la pente de la ligne qui passe par (1,2) et (3,8) ?
- Choices: A) 2 B) 3 C) 4 D) 6
- Hint: Use the slope formula (y2 - y1)/(x2 - x1).
- Steps:
- Determine differences in y and x.
- Calculate slope.
- Answer: 3
[Medium] Polynomials
- EN: What is (x + 2)(x + 3)?
- FR: Quel est (x + 2)(x + 3) ?
- Choices: A) x² + 5x + 6 B) x² + 6x + 2 C) x² + x + 2 D) x² + 2x + 3
- Hint: Use the distributive property.
- Steps:
- Multiply both binomials.
- Combine like terms.
- Answer: x² + 5x + 6
[Medium] Identifying the Mode
- EN: What is the mode of the numbers 1, 2, 2, 3, 4?
- FR: Quelle est la mode des nombres 1, 2, 2, 3, 4 ?
- Choices: A) 1 B) 2 C) 3 D) 4
- Hint: Find the number that appears most often.
- Steps:
- Count occurrences of each number.
- Identify the mode.
- Answer: 2
[Hard] Solving Quadratics
- EN: If x² - 5x + 6 = 0, what are the roots?
- FR: Si x² - 5x + 6 = 0, quelles sont les racines ?
- Choices: A) 2, 3 B) 1, 5 C) 0, 6 D) 3, 6
- Hint: Factor the quadratic.
- Steps:
- Find pairs that multiply to 6 and add to -5.
- Solve for x.
- Answer: 2, 3
[Hard] Assessing Linear Functions
- EN: The function f(x) = 3x + 2. What is f(4)?
- FR: La fonction f(x) = 3x + 2. Quelle est f(4) ?
- Choices: A) 12 B) 14 C) 10 D) 20
- Hint: Substitute x with 4.
- Steps:
- Compute f(4).
- Find the output.
- Answer: 14
[Hard] Probability of Compound Events
- EN: If you roll two dice, what is the probability that the sum is 7?
- FR: Si vous lancez deux dés, quelle est la probabilité que la somme soit 7 ?
- Choices: A) 1/6 B) 1/12 C) 1/9 D) 1/8
- Hint: Consider all combinations.
- Steps:
- Identify successful combinations.
- Calculate total outcomes.
- Answer: 1/6
[Hard] Graphing Inequalities
- EN: Graph the inequality y > 2x - 4.
- FR: Tracez l'inégalité y > 2x - 4.
- Choices: A) Solid Line B) Dashed Line C) Horizontal Line D) Vertical Line
- Hint: How do you represent 'greater than' on a graph?
- Steps:
- Identify the type of line.
- Graph to show the solution area.
- Answer: Dashed Line
[Hard] Understanding Functions
- EN: If f(x) = x² - 3, what is f(-1)?
- FR: Si f(x) = x² - 3, quelle est f(-1) ?
- Choices: A) -1 B) 0 C) 1 D) 2
- Hint: Substitute -1 into f(x).
- Steps:
- Compute f(-1).
- Confirm the result.
- Answer: -2
[Hard] Volume of a Cylinder
- EN: What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm? (Use π as 3)
- FR: Quel est le volume d'un cylindre avec un rayon de 3 cm et une hauteur de 5 cm ? (Utiliser π comme 3)
- Choices: A) 27 cm³ B) 45 cm³ C) 36 cm³ D) 70 cm³
- Hint: Use the formula πr²h.
- Steps:
- Calculate the base area.
- Multiply by height.
- Answer: 45
[Hard] Identifying Functions' Characteristics
- EN: What is the y-intercept of the line 4x - 2y = 8?
- FR: Quel est l'ordonnée à l'origine de la ligne 4x - 2y = 8 ?
- Choices: A) 0 B) 2 C) 4 D) -2
- Hint: Rearrange to slope-intercept form.
- Steps:
- Solve for y and find the intercept.
- Confirm.
- Answer: -4
Grade 10 Problems
[Easy] Finding Zeroes in Quadratics
- EN: What are the roots of the equation x² - 4 = 0?
- FR: Quelles sont les racines de l'équation x² - 4 = 0 ?
- Choices: A) 2, -2 B) 0 C) 4 D) -4
- Hint: Factor or use square root.
- Steps:
- Find square roots.
- Confirm answers are correct.
- Answer: 2, -2
[Easy] Area vs. Perimeter
- EN: What is the perimeter of a rectangle with a length of 5 cm and a width of 3 cm?
- FR: Quelle est le périmètre d'un rectangle de 5 cm de long et de 3 cm de large ?
- Choices: A) 15 cm B) 16 cm C) 14 cm D) 12 cm
- Hint: Perimeter = 2(length + width).
- Steps:
- Calculate length and width.
- Add and multiply.
- Answer: 16
[Easy] 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) 0 B) 1 C) 2 D) 3
- Hint: What is the coefficient of x?
- Steps:
- Recognize the slope from the equation.
- Confirm the value.
- Answer: 2
[Easy] Evaluating Expressions
- EN: What is 3(2 + 4)?
- FR: Quel est 3(2 + 4) ?
- Choices: A) 12 B) 18 C) 20 D) 6
- Hint: Follow the order of operations.
- Steps:
- Perform addition in parentheses.
- Then multiply.
- Answer: 18
[Medium] Factoring Quadratics
- EN: Factor the quadratic expression x² + 5x + 6.
- FR: Factorisez l'expression quadratique x² + 5x + 6.
- Choices: A) (x + 3)(x + 2) B) (x + 2)(x + 3) C) (x + 1)(x + 6) D) (x - 1)(x - 6)
- Hint: Find factors of 6 that add to 5.
- Steps:
- Identify factor pairs.
- Write them in parenthesis.
- Answer: (x + 2)(x + 3)
[Medium] Solving Inequalities
- EN: Solve for x: 2x + 3 < 7.
- FR: Résolvez pour x : 2x + 3 < 7.
- Choices: A) x < 2 B) x < 1 C) x < 3 D) x < 0
- Hint: Isolate x.
- Steps:
- Subtract 3, then divide.
- Find the solution set.
- Answer: x < 2
[Medium] Evaluating Limits
- EN: Find the limit of f(x) as x approaches 1 for f(x) = x² + 2.
- FR: Trouvez la limite de f(x) lorsque x approche de 1 pour f(x) = x² + 2.
- Choices: A) 3 B) 2 C) 1 D) 4
- Hint: Substitute x with 1.
- Steps:
- Calculate the limit by substitution.
- Confirm the value.
- Answer: 3
[Medium] Identifying Roots
- EN: What is the value of x in the equation x² - 6x + 9 = 0?
- FR: Quelle est la valeur de x dans l'équation x² - 6x + 9 = 0 ?
- Choices: A) 3 B) 2 C) 1 D) 4
- Hint: Factor or use the quadratic formula.
- Steps:
- Identify roots.
- Solve for x.
- Answer: 3
[Hard] Quadratic Formula
- EN: Use the quadratic formula to find roots of x² + 4x + 4 = 0.
- FR: Utilisez la formule quadratique pour trouver les racines de x² + 4x + 4 = 0.
- Choices: A) -2 B) -4 C) 2 D) 0
- Hint: Use x = (-b ± √(b² - 4ac)) / 2a.
- Steps:
- Input values into the formula.
- Calculate.
- Answer: -2
[Hard] Matrix Operations
- EN: What is the sum of the matrices [1, 2], [3, 4]?
- FR: Quelle est la somme des matrices [1, 2], [3, 4] ?
- Choices: A) [4, 6] B) [3, 5] C) [2, 5] D) [1, 2]
- Hint: Add corresponding elements.
- Steps:
- Calculate element-wise sum.
- Confirm matrix format.
- Answer: [4, 6]
[Hard] Finding Derivatives
- EN: Find the derivative of f(x) = 3x² + 5x.
- FR: Trouvez la dérivée de f(x) = 3x² + 5x.
- Choices: A) 6x + 5 B) 2x + 5 C) 3x + 5 D) 5x + 3
- Hint: Use power rule.
- Steps:
- Differentiate each term.
- Sum the resulting terms.
- Answer: 6x + 5
[Hard] Systems of Equations
- EN: Solve the system: x + y = 10 and x - y = 4.
- FR: Résoudre le système : x + y = 10 et x - y = 4.
- Choices: A) (7, 3) B) (6, 2) C) (5, 5) D) (4, 6)
- Hint: Use substitution or elimination.
- Steps:
- Solve two equations.
- Find values of x and y.
- Answer: (7, 3)
[Hard] Finding Surface Area of a Cylinder
- EN: What is the surface area of a cylinder with a radius of 2 cm and a height of 5 cm?
- FR: Quelle est la surface d'un cylindre avec un rayon de 2 cm et une hauteur de 5 cm ?
- Choices: A) 28π cm² B) 30π cm² C) 24π cm² D) 36π cm²
- Hint: Use SA = 2πr(h + r).
- Steps:
- Compute each part of the area.
- Combine results.
- Answer: 28π
[Hard] Finding Probability Distributions
- EN: If you flip a fair coin 3 times, what is the probability of getting exactly 2 heads?
- FR: Si vous lancez une pièce de monnaie équitable 3 fois, quelle est la probabilité d'obtenir exactement 2 faces ?
- Choices: A) 1/8 B) 3/8 C) 1/2 D) 5/8
- Hint: Use binomial probability formula.
- Steps:
- Calculate outcomes.
- Confirm actions.
- Answer: 3/8
[Hard] Finding Areas in Geometry
- EN: Find the area enclosed by the line y = 2x + 3 and the axes.
- FR: Trouvez l'aire enfermée par la ligne y = 2x + 3 et les axes.
- Choices: A) 15 B) 20 C) 25 D) 10
- Hint: Determine where the line intercepts the axes.
- Steps:
- Calculate intersections.
- Use geometry formulas for area.
- Answer: 10
Grade 11 Problems
[Easy] Evaluating Functions
- EN: If f(x) = 2x + 3, what is f(2)?
- FR: Si f(x) = 2x + 3, quelle est f(2) ?
- Choices: A) 7 B) 8 C) 9 D) 10
- Hint: Substitute and calculate for f(x).
- Steps:
- Plug in 2 for x.
- Solve for f(2).
- Answer: 7
[Easy] Finding Roots of 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, -3 B) 0 C) 9, -9 D) 1, 2
- Hint: Use factoring to solve.
- Steps:
- Factor the equation.
- Identify roots.
- Answer: 3, -3
[Easy] Understanding Functions
- EN: What is the y-intercept of the function y = 4x + 2?
- FR: Quelle est l'ordonnée à l'origine de la fonction y = 4x + 2 ?
- Choices: A) 0 B) 1 C) 2 D) 4
- Hint: Where does the line cross the y-axis?
- Steps:
- Identify the constant term.
- Confirm value.
- Answer: 2
[Easy] Basic Algebra
- EN: What is -3x = 9?
- FR: Quel est -3x = 9 ?
- Choices: A) 3 B) -3 C) -9 D) 6
- Hint: Isolate for x by dividing.
- Steps:
- Solve for x.
- Identify final answer.
- Answer: -3
[Medium] Evaluating Quadratics
- EN: If f(x) = x² + 5x + 6, what are the roots?
- FR: Si f(x) = x² + 5x + 6, quelles sont les racines ?
- Choices: A) -3, -2 B) -5, -6 C) 2, 3 D) 1, 2
- Hint: Use quadratic factoring.
- Steps:
- Identify factors and roots.
- Confirm solutions.
- Answer: -2, -3
[Medium] Understanding Exponents
- EN: What is (x²)³?
- FR: Quel est (x²)³ ?
- Choices: A) x⁵ B) x⁶ C) x⁸ D) x⁹
- Hint: Apply power of a power rule.
- Steps:
- Multiply exponents.
- Write answer.
- Answer: x⁶
[Medium] Finding Limits
- EN: What is the limit as x approaches 0 of (3x²)/(x²)?
- FR: Quelle est la limite lorsque x approche de 0 de (3x²)/(x²) ?
- Choices: A) 0 B) 1 C) 3 D) Undefined
- Hint: Simplify before evaluating.
- Steps:
- Cancel common factors.
- Evaluate limit.
- Answer: 3
[Medium] Interpreting Functions
- EN: If f(x) = 3x - 1, what is f(-1)?
- FR: Si f(x) = 3x - 1, quelle est f(-1) ?
- Choices: A) 2 B) -4 C) -3 D) 1
- Hint: Substitute and compute.
- Steps:
- Find f(-1).
- Calculate.
- Answer: -4
[Hard] Deriving Functions
- EN: What is the derivative of f(x) = 5x² + 3x?
- FR: Quelle est la dérivée de f(x) = 5x² + 3x ?
- Choices: A) 10x + 3 B) 5x + 3 C) 3x + 5 D) 8x
- Hint: Apply power rule to each term.
- Steps:
- Derive f(x).
- Simplify.
- Answer: 10x + 3
[Hard] Solving Systems of Equations
- EN: Solve: 2x + 3y = 6 and x - 2y = 1.
- FR: Résoudre : 2x + 3y = 6 et x - 2y = 1.
- Choices: A) (0, 2) B) (3, 0) C) (1, 1) D) (2, 0)
- Hint: Use substitution or elimination.
- Steps:
- Solve one equation for one variable.
- Substitute in the second equation.
- Answer: (0,2)
[Hard] Probability in Statistics
- EN: If a bag contains 5 red, 3 blue, and 2 green marbles, what is the probability of drawing a blue marble?
- FR: Si un sac contient 5 billes rouges, 3 billes bleues et 2 billes vertes, quelle est la probabilité de tirer une bille bleue ?
- Choices: A) 1/2 B) 1/5 C) 3/10 D) 3/20
- Hint: Find successful outcomes over total outcomes.
- Steps:
- Total marbles = 10.
- Calculate probability.
- Answer: 3/10
[Hard] Quadratic Formula Application
- EN: Use the quadratic formula to solve for x in x² - 2x - 15 = 0.
- FR: Utilisez la formule quadratique pour résoudre x dans x² - 2x - 15 = 0.
- Choices: A) 3, -5 B) 2, 3 C) -1, 15 D) -3, 5
- Hint: Identify values of a, b, and c.
- Steps:
- Substitute into quadratic formula.
- Calculate and summarize roots.
- Answer: 5, -3
[Hard] Finding Area of a Circle
- EN: What is the area of a circle with a radius of 4 cm? (Use π as 3.14)
- FR: Quelle est l'aire d'un cercle avec un rayon de 4 cm ? (Utiliser π comme 3,14)
- Choices: A) 50.24 cm² B) 45.56 cm² C) 12.56 cm² D) 30.16 cm²
- Hint: Use formula A = πr².
- Steps:
- Compute using radius.
- Identify area.
- Answer: 50.24
[Hard] Graphing Inequalities
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