Daily Math — 2026-04-24
Grade 1 Problems
[Easy] Counting Loonies
- EN: How many loonies are in 3 loonies?
- FR: Combien de dollars en pièces de un y a-t-il dans 3 pièces de un ?
- Choices: A) 1 B) 3 C) 2 D) 4
- Hint: Count the loonies carefully!
- Steps:
- Identify how many loonies there are.
- Write down the number.
- Answer: 3
[Easy] Adding Apples
- EN: You have 2 apples, and your friend gives you 1 more. How many apples do you have now?
- FR: Tu as 2 pommes, et ton ami te donne 1 de plus. Combien de pommes as-tu maintenant ?
- Choices: A) 3 B) 2 C) 1 D) 4
- Hint: Add the apples together.
- Steps:
- Count your apples.
- Add the extra apple.
- Answer: 3
[Easy] Skip Counting by 5s
- EN: What is 5, 10, skip to 15? What's the last number?
- FR: Quel est 5, 10, saute à 15 ? Quel est le dernier nombre ?
- Choices: A) 10 B) 15 C) 20 D) 25
- Hint: Keep counting by five!
- Steps:
- Understand the pattern.
- Determine the last number in the count.
- Answer: 15
[Easy] Coin Values
- EN: Which is worth more: 5 dimes or 10 nickels?
- FR: Qu'est-ce qui vaut plus : 5 dimes ou 10 niques ?
- Choices: A) 10 nickels B) 5 dimes C) Both are equal D) 5 pennies
- Hint: Calculate the value of each.
- Steps:
- Find the value of 5 dimes.
- Find the value of 10 nickels.
- Answer: 5
[Medium] Adding Money
- EN: You have $2, and your mom gives you $3. How much do you have now?
- FR: Tu as 2 $ et ta maman te donne 3 $. Combien as-tu maintenant ?
- Choices: A) 4 B) 6 C) 5 D) 8
- Hint: Add your money together.
- Steps:
- Start with $2.
- Add $3 to it.
- Answer: 5
[Medium] Finding the Larger Number
- EN: Which is larger: 10 or 7?
- FR: Lequel est plus grand : 10 ou 7 ?
- Choices: A) 10 B) 7 C) Both are equal D) None
- Hint: Compare the two numbers.
- Steps:
- Identify each number.
- Determine which is greater.
- Answer: 10
[Medium] Subtracting Snowballs
- EN: You have 8 snowballs, and you throw away 3. How many are left?
- FR: Tu as 8 boules de neige et tu en jettes 3. Combien en reste-t-il ?
- Choices: A) 4 B) 5 C) 3 D) 6
- Hint: Subtract the snowballs you threw.
- Steps:
- Start with 8 snowballs.
- Subtract 3 from it.
- Answer: 5
[Medium] Matching Pairs
- EN: If you have 4 pairs of mittens, how many mittens do you have in total?
- FR: Si tu as 4 paires de mitaines, combien de mitaines as-tu au total ?
- Choices: A) 6 B) 8 C) 4 D) 5
- Hint: Remember each pair has two mittens!
- Steps:
- Count pairs of mittens.
- Multiply by 2.
- Answer: 8
[Hard] Comparing Distances
- EN: You run 15 meters and your friend runs 12 meters. How much farther did you run?
- FR: Tu cours 15 mètres et ton ami court 12 mètres. Combien de mètres as-tu couru de plus ?
- Choices: A) 2 B) 4 C) 3 D) 5
- Hint: Find the difference in your distances.
- Steps:
- Start with your distance.
- Subtract your friend's distance.
- Answer: 3
[Hard] Hockey Goals
- EN: If you score 5 goals and your team scored 8, how many goals did your team score in total?
- FR: Si tu marques 5 buts et que ton équipe marque 8, combien de buts ton équipe a-t-elle inscrits au total ?
- Choices: A) 12 B) 11 C) 10 D) 13
- Hint: Add your goals to your team's goals.
- Steps:
- Count your goals.
- Add the team's goals to yours.
- Answer: 13
Grade 2 Problems
[Easy] Adding Coins
- EN: You have 2 nickels. How much is that in cents?
- FR: Tu as 2 nickels. Combien cela fait en cents ?
- Choices: A) 5 B) 2 C) 10 D) 20
- Hint: Think about how much each nickel is worth.
- Steps:
- Know that each nickel is 5 cents.
- Multiply the number of nickels by 5.
- Answer: 10
[Easy] Counting Minutes
- EN: If it's 1:30 now, what will the time be in half an hour?
- FR: S'il est 1h30 maintenant, quelle heure sera-t-il dans une demi-heure ?
- Choices: A) 2:00 B) 2:30 C) 1:00 D) 12:30
- Hint: Add 30 minutes to the current time.
- Steps:
- Start at 1:30.
- Add 30 minutes.
- Answer: 2:00
[Easy] Length in Centimeters
- EN: A pencil is 10 cm long. How many centimeters are in 3 pencils?
- FR: Un crayon mesure 10 cm de long. Combien de centimètres y a-t-il dans 3 crayons ?
- Choices: A) 20 B) 30 C) 40 D) 10
- Hint: Think about how many cm are in each pencil.
- Steps:
- Know the length of one pencil.
- Multiply by 3 for total pencils.
- Answer: 30
[Easy] Counting Patterns
- EN: What comes next in the pattern? 2, 4, 6, __?
- FR: Que vient-il ensuite dans le motif ? 2, 4, 6, __ ?
- Choices: A) 7 B) 8 C) 9 D) 10
- Hint: Look how the numbers are increasing.
- Steps:
- Identify the difference in the pattern.
- Add to the last number.
- Answer: 8
[Medium] Buying Snacks
- EN: If a cookie costs $1 and you buy 5, how much do you spend?
- FR: Si un biscuit coûte 1 $ et que tu en achètes 5, combien dépenses-tu ?
- Choices: A) 4 B) 5 C) 6 D) 1
- Hint: Multiply the cost by the number of cookies.
- Steps:
- Take the cost of one cookie.
- Multiply it by 5.
- Answer: 5
[Medium] Comparing Heights
- EN: You are 130 cm tall and your sister is 120 cm. How much taller are you?
- FR: Tu mesures 130 cm et ta soeur mesure 120 cm. Combien es-tu plus grand ?
- Choices: A) 5 B) 10 C) 15 D) 20
- Hint: Subtract your sister's height from yours.
- Steps:
- Start with your height.
- Subtract your sister's height.
- Answer: 10
[Medium] Making Patterns
- EN: You have 4 red, 5 blue, and 3 green blocks. How many blocks do you have?
- FR: Tu as 4 blocs rouges, 5 blocs bleus et 3 blocs verts. Combien as-tu de blocs au total ?
- Choices: A) 9 B) 11 C) 10 D) 12
- Hint: Add all the blocks together.
- Steps:
- Count each color of blocks.
- Add the totals.
- Answer: 12
[Medium] Reading Time
- EN: If you start your homework at 4:00 PM and work for 1 hour, what time is it when you finish?
- FR: Si tu commences tes devoirs à 16h00 et que tu travailles pendant 1 heure, quelle heure est-il à la fin ?
- Choices: A) 5:00 PM B) 4:30 PM C) 5:30 PM D) 6:00 PM
- Hint: Think about how long you've worked.
- Steps:
- Start with 4:00 PM.
- Add 1 hour.
- Answer: 5:00
[Hard] Subtracting Distances
- EN: You walk 15 meters and then another 8 meters. How much more do you need to walk to reach 30 meters?
- FR: Tu marches 15 mètres puis encore 8 mètres. Combien dois-tu marcher de plus pour atteindre 30 mètres ?
- Choices: A) 5 B) 7 C) 10 D) 4
- Hint: Add your distances first.
- Steps:
- Add 15 and 8.
- Subtract from 30.
- Answer: 7
[Hard] Ice Cream Cones
- EN: If you have 10 ice cream cones and eat 3, how many cones do you have left?
- FR: Si tu as 10 cônes de glace et que tu en manges 3, combien de cônes te reste-t-il ?
- Choices: A) 5 B) 7 C) 6 D) 4
- Hint: Simply subtract the cones you've eaten.
- Steps:
- Start with 10 cones.
- Subtract the number eaten.
- Answer: 7
Grade 3 Problems
[Easy] Simple Addition
- EN: What is 3 + 4?
- FR: Quel est 3 + 4 ?
- Choices: A) 6 B) 8 C) 7 D) 5
- Hint: Add the numbers together.
- Steps:
- Write down the numbers.
- Add them up.
- Answer: 7
[Easy] Counting Fruits
- EN: You have 2 apples and pick 3 more. How many apples do you have?
- FR: Tu as 2 pommes et tu en ramasses 3 de plus. Combien de pommes as-tu ?
- Choices: A) 3 B) 4 C) 5 D) 6
- Hint: Count all the apples together.
- Steps:
- Start with 2 apples.
- Add 3 more apples.
- Answer: 5
[Easy] Simple Multiplication
- EN: What is 2 x 3?
- FR: Quel est 2 x 3 ?
- Choices: A) 5 B) 6 C) 4 D) 7
- Hint: Think of it as 2 groups of 3.
- Steps:
- Find the multiplication.
- Write down the answer.
- Answer: 6
[Easy] Counting Days
- EN: How many days are in a week?
- FR: Combien de jours y a-t-il dans une semaine ?
- Choices: A) 5 B) 7 C) 10 D) 9
- Hint: Count Monday to Sunday.
- Steps:
- Think about the days of the week.
- Write the total.
- Answer: 7
[Medium] Basic Division
- EN: If you have 20 cookies and share them with 5 friends, how many cookies does each friend get?
- FR: Si tu as 20 biscuits et que tu les partages avec 5 amis, combien de biscuits chaque ami reçoit-il ?
- Choices: A) 3 B) 4 C) 5 D) 6
- Hint: Divide cookies among friends.
- Steps:
- Start with 20 cookies.
- Divide by the number of friends.
- Answer: 4
[Medium] Finding Fractions
- EN: If you have a pizza cut into 4 equal slices and eat 1, how much pizza is left?
- FR: Si tu as une pizza coupée en 4 parts égales et que tu en manges 1, combien de pizza reste-t-il ?
- Choices: A) 1/4 B) 2/4 C) 3/4 D) 0
- Hint: Think about what you've eaten.
- Steps:
- Start with 4 slices.
- Subtract 1 slice.
- Answer: 3
[Medium] Reading a Graph
- EN: In a graph, if 10 kids like pizza and 4 like salad, how many kids like either?
- FR: Dans un graphique, si 10 enfants aiment la pizza et 4 aiment la salade, combien d'enfants aiment les deux ?
- Choices: A) 15 B) 14 C) 6 D) 12
- Hint: Add both amounts.
- Steps:
- Start with 10 for pizza lovers.
- Add salad lovers.
- Answer: 14
[Medium] More Multiplication
- EN: What is 4 x 5?
- FR: Quel est 4 x 5 ?
- Choices: A) 20 B) 15 C) 25 D) 10
- Hint: Think of 4 groups of 5.
- Steps:
- Write the equation.
- Find the answer.
- Answer: 20
[Hard] Finding the Perimeter
- 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. Quel est son périmètre ?
- Choices: A) 10 B) 15 C) 16 D) 18
- Hint: Use the formula 2(l + w).
- Steps:
- Add length and width.
- Multiply by 2.
- Answer: 16
[Hard] Simple Fractions
- EN: If you have a cake and you eat 1/4, how much is left?
- FR: Si tu as un gâteau et que tu manges 1/4, combien reste-t-il ?
- Choices: A) 1/4 B) 3/4 C) 2/4 D) 1
- Hint: Think about what part you have.
- Steps:
- Start with the whole cake.
- Subtract the eaten fraction.
- Answer: 3/4
Grade 4 Problems
[Easy] Adding Whole Numbers
- EN: What is 7 + 2?
- FR: Quel est 7 + 2 ?
- Choices: A) 8 B) 9 C) 6 D) 7
- Hint: Add the numbers together.
- Steps:
- Write down the numbers.
- Add them up.
- Answer: 9
[Easy] Finding the Area
- EN: What is the area of a rectangle that is 4 cm long and 2 cm wide?
- FR: Quelle est l'aire d'un rectangle de 4 cm de long et de 2 cm de large ?
- Choices: A) 8 B) 6 C) 4 D) 10
- Hint: Use the formula length × width.
- Steps:
- Multiply the length and width.
- Write down the result.
- Answer: 8
[Easy] Counting Coins
- EN: If you have 3 loonies, how much is that in dollars?
- FR: Si tu as 3 dollars en pièces de un, combien cela fait-il en dollars ?
- Choices: A) 2 B) 3 C) 4 D) 1
- Hint: Count the loonies.
- Steps:
- Recall that each loonie is worth $1.
- Count the total.
- Answer: 3
[Easy] Elapsed Time
- EN: If you start reading at 3 PM and finish at 4:30 PM, how long did you read?
- FR: Si tu commences à lire à 15 heures et que tu finis à 16h30, combien de temps as-tu lu ?
- Choices: A) 1 hour B) 1.5 hours C) 30 minutes D) 2 hours
- Hint: Think about the time difference.
- Steps:
- Start at 3 PM.
- End at 4:30 PM.
- Answer: 1.5
[Medium] Long Division
- EN: What is 56 divided by 7?
- FR: Quel est 56 divisé par 7 ?
- Choices: A) 9 B) 8 C) 7 D) 6
- Hint: Find out how many times 7 fits in 56.
- Steps:
- Use division.
- Write down the answer.
- Answer: 8
[Medium] Comparing Fractions
- EN: Which is larger: 1/2 or 1/3?
- FR: Lequel est plus grand : 1/2 ou 1/3 ?
- Choices: A) 1/2 B) 1/3 C) Both are equal D) Neither
- Hint: Think about their sizes.
- Steps:
- Compare both fractions.
- Write down which is larger.
- Answer: 1/2
[Medium] Finding the Elapsed Time
- EN: If a movie starts at 5 PM and lasts for 2 hours, what time does it end?
- FR: Si un film commence à 17 h et dure 2 heures, à quelle heure se termine-t-il ?
- Choices: A) 6 PM B) 7 PM C) 8 PM D) 5 PM
- Hint: Add 2 hours to the start time.
- Steps:
- Start at 5 PM.
- Add 2 hours.
- Answer: 7
[Medium] Finding Area with Units
- EN: A garden is 6 m long and 4 m wide. What is its area?
- FR: Un jardin mesure 6 m de long et 4 m de large. Quelle est sa superficie ?
- Choices: A) 20 m² B) 24 m² C) 28 m² D) 16 m²
- Hint: Use length × width.
- Steps:
- Multiply length by width.
- Write the area.
- Answer: 24
[Hard] Long Division Remainders
- EN: What is 77 divided by 6?
- FR: Quel est 77 divisé par 6 ?
- Choices: A) 12 with remainder 5 B) 13 with remainder 1 C) 11 with remainder 5 D) 12 with remainder 6
- Hint: Do the division and check for a remainder.
- Steps:
- Use long division.
- Write down quotient and remainder.
- Answer: 12 with remainder 5
[Hard] Finding the Perimeter
- EN: What is the perimeter of a rectangle with a length of 10 cm and a width of 4 cm?
- FR: Quel est le périmètre d'un rectangle dont la longueur est de 10 cm et la largeur de 4 cm ?
- Choices: A) 24 cm B) 16 cm C) 20 cm D) 28 cm
- Hint: Use the formula 2(length + width).
- Steps:
- Add length and width.
- Multiply by 2.
- Answer: 28
Grade 5 Problems
[Easy] Basic Multiplication
- EN: What is 3 x 4?
- FR: Quel est 3 x 4 ?
- Choices: A) 10 B) 12 C) 11 D) 14
- Hint: Think of it as 3 groups of 4.
- Steps:
- Write the multiplication.
- Calculate the answer.
- Answer: 12
[Easy] Adding Fractions
- EN: What is 1/4 + 1/4?
- FR: Quel est 1/4 + 1/4 ?
- Choices: A) 2/4 B) 1/2 C) 1/3 D) 3/4
- Hint: Add the numerators.
- Steps:
- Write the fractions.
- Find a common denominator if needed.
- Answer: 2/4
[Easy] Simple Percentages
- EN: What is 10% of 50?
- FR: Quel est 10 % de 50 ?
- Choices: A) 5 B) 10 C) 15 D) 20
- Hint: Think of 10% as a tenth of the total.
- Steps:
- Find 1/10 of 50.
- Write down the answer.
- Answer: 5
[Easy] Finding Volume
- EN: A box is 2 cm long, 3 cm wide, and 4 cm tall. What is its volume?
- FR: Une boîte mesure 2 cm de long, 3 cm de large et 4 cm de haut. Quel est son volume ?
- Choices: A) 12 cm³ B) 10 cm³ C) 8 cm³ D) 6 cm³
- Hint: Use length × width × height.
- Steps:
- Multiply the dimensions.
- Write the total volume.
- Answer: 24
[Medium] Subtracting Mixed Numbers
- EN: What is 3/4 - 1/2?
- FR: Quel est 3/4 - 1/2 ?
- Choices: A) 1/4 B) 2/4 C) 3/4 D) 1/2
- Hint: Find a common denominator first.
- Steps:
- Convert fractions if needed.
- Subtract the numerators.
- Answer: 1/4
[Medium] Multi-digit Division
- EN: What is 128 divided by 4?
- FR: Quel est 128 divisé par 4 ?
- Choices: A) 32 B) 28 C) 30 D) 24
- Hint: Perform long division.
- Steps:
- Divide.
- Write down the result.
- Answer: 32
[Medium] Finding Percentages
- EN: What is 25% of 200?
- FR: Quel est 25 % de 200 ?
- Choices: A) 50 B) 40 C) 60 D) 30
- Hint: Think of it as one-quarter of 200.
- Steps:
- Divide 200 by 4.
- Write the answer.
- Answer: 50
[Medium] Comparing Volumes
- EN: If a box is 3 cm x 3 cm x 3 cm, what is its volume?
- FR: Si une boîte mesure 3 cm x 3 cm x 3 cm, quel est son volume ?
- Choices: A) 27 cm³ B) 30 cm³ C) 20 cm³ D) 32 cm³
- Hint: Use the formula for volume.
- Steps:
- Multiply the dimensions.
- Find the total volume.
- Answer: 27
[Hard] Multiplying Fractions
- EN: What is 2/3 x 3/4?
- FR: Quel est 2/3 x 3/4 ?
- Choices: A) 1/4 B) 5/12 C) 1/2 D) 1/3
- Hint: Multiply the numerators and denominators.
- Steps:
- Calculate the fractions.
- Simplify if necessary.
- Answer: 1/2
[Hard] Finding the Area of a Triangle
- EN: What is the area of a triangle with a base of 10 cm and a height of 5 cm?
- FR: Quelle est la superficie d'un triangle avec une base de 10 cm et une hauteur de 5 cm ?
- Choices: A) 25 cm² B) 30 cm² C) 20 cm² D) 15 cm²
- Hint: Use the formula (base x height)/2.
- Steps:
- Multiply base and height.
- Divide by 2.
- Answer: 25
Grade 6 Problems
[Easy] Fraction Addition
- EN: What is 1/3 + 1/3?
- FR: Quel est 1/3 + 1/3 ?
- Choices: A) 1/2 B) 1 C) 2/3 D) 1/4
- Hint: Add the numerators together.
- Steps:
- Add 1 + 1.
- Keep the denominator the same.
- Answer: 2/3
[Easy] Order of Operations
- EN: What is 3 + 4 x 2?
- FR: Quel est 3 + 4 x 2 ?
- Choices: A) 11 B) 14 C) 13 D) 10
- Hint: Remember to do multiplication first.
- Steps:
- Calculate 4 x 2.
- Add to 3.
- Answer: 11
[Easy] Simple Ratios
- EN: The ratio of cats to dogs is 2 to 3. If there are 2 cats, how many dogs are there?
- FR: Le rapport entre les chats et les chiens est de 2 à 3. S'il y a 2 chats, combien de chiens y a-t-il ?
- Choices: A) 4 B) 3 C) 2 D) 6
- Hint: Use the ratio to find out.
- Steps:
- Set up the ratio.
- Solve for dogs.
- Answer: 3
[Easy] Percent of a Number
- EN: What is 50% of 80?
- FR: Quel est 50 % de 80 ?
- Choices: A) 60 B) 40 C) 30 D) 50
- Hint: Think of half of 80.
- Steps:
- Calculate half.
- Write the answer.
- Answer: 40
[Medium] Multiplying Integers
- EN: What is -5 x 3?
- FR: Quel est -5 x 3 ?
- Choices: A) -15 B) 15 C) -10 D) 10
- Hint: Multiply the numbers and keep the sign in mind.
- Steps:
- Calculate the multiplication.
- Keep the negative sign.
- Answer: -15
[Medium] Dividing Integers
- EN: What is -24 ÷ 4?
- FR: Quel est -24 ÷ 4 ?
- Choices: A) 6 B) -6 C) 12 D) 8
- Hint: Remember the negative sign.
- Steps:
- Divide the numbers.
- Apply the negative.
- Answer: -6
[Medium] Solving Simple Equations
- EN: If x + 5 = 12, what is x?
- FR: Si x + 5 = 12, quelle est x ?
- Choices: A) 7 B) 8 C) 9 D) 5
- Hint: Subtract to find x.
- Steps:
- Rearrange the equation.
- Solve for x.
- Answer: 7
[Medium] Finding Equivalent Ratios
- EN: If the ratio of apples to oranges is 3:5, how many oranges are there if there are 12 apples?
- FR: Si le rapport entre les pommes et les oranges est de 3:5, combien y a-t-il d'oranges s'il y a 12 pommes ?
- Choices: A) 18 B) 20 C) 15 D) 24
- Hint: Set up a proportion to find out.
- Steps:
- Set up the equation.
- Solve for oranges.
- Answer: 20
[Hard] Fraction Multiplication
- EN: What is 2/3 x 3/4?
- FR: Quel est 2/3 x 3/4 ?
- Choices: A) 1/2 B) 1/4 C) 1/3 D) 1/8
- Hint: Multiply the numerators and denominators.
- Steps:
- Calculate the fractions.
- Simplify if possible.
- Answer: 1/2
[Hard] Two-Step Equations
- EN: If 3x - 4 = 8, what is x?
- FR: Si 3x - 4 = 8, quelle est x ?
- Choices: A) 2 B) 4 C) 5 D) 8
- Hint: Add 4 to both sides and then divide.
- Steps:
- Rearrange the equation.
- Solve for x.
- Answer: 4
[Hard] Percent Increase
- EN: If a shirt costs $40 and is now $50, what is the percent increase?
- FR: Si une chemise coûte 40 $ et coûte maintenant 50 $, quel est l'augmentation en pourcentage ?
- Choices: A) 25% B) 30% C) 20% D) 15%
- Hint: Find the difference and convert it.
- Steps:
- Calculate the increase.
- Divide by the original price.
- Answer: 25
[Hard] Solving Inequalities
- EN: If 2x < 10, what is the largest integer value of x?
- FR: Si 2x < 10, quelle est la plus grande valeur entière de x ?
- Choices: A) 4 B) 5 C) 3 D) 6
- Hint: Divide by 2 to find x.
- Steps:
- Rearrange the inequality.
- Solve for x.
- Answer: 4
[Hard] Distance Problems with Ratios
- EN: If the distance from A to B is 30 km, and C is halfway, how far is C from A?
- FR: Si la distance de A à B est de 30 km, et que C est à mi-chemin, quelle distance C de A ?
- Choices: A) 10 km B) 15 km C) 20 km D) 25 km
- Hint: Think about halfway.
- Steps:
- Divide 30 by 2.
- Find the distance to point C.
- Answer: 15
[Hard] Finding Area of a Triangle
- EN: What is the area of a triangle with a base of 10 m and a height of 5 m?
- FR: Quelle est la superficie d'un triangle avec une base de 10 m et une hauteur de 5 m ?
- Choices: A) 25 m² B) 30 m² C) 20 m² D) 15 m²
- Hint: Use the formula (base x height)/2.
- Steps:
- Multiply base and height.
- Divide by 2.
- Answer: 25
[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 = 3.14)
- FR: Quel est le volume d'un cylindre ayant un rayon de 3 cm et une hauteur de 5 cm ? (Utilise π = 3.14)
- Choices: A) 28.26 cm³ B) 39.24 cm³ C) 20.10 cm³ D) 15.70 cm³
- Hint: Use the formula V = πr²h.
- Steps:
- Calculate area of the base.
- Multiply by height.
- Answer: 28.26
Grade 7 Problems
[Easy] Adding Integers
- EN: What is 5 + 7?
- FR: Quel est 5 + 7 ?
- Choices: A) 12 B) 13 C) 11 D) 14
- Hint: Just add them together.
- Steps:
- Write down both numbers.
- Find the sum.
- Answer: 12
[Easy] Reading Simple Graphs
- EN: If 5 kids like soccer, and 10 like hockey, how many kids like sports?
- FR: Si 5 enfants aiment le soccer, et 10 aiment le hockey, combien d'enfants aiment les sports ?
- Choices: A) 10 B) 15 C) 20 D) 5
- Hint: Add the two amounts together.
- Steps:
- Count kids who like each sport.
- Write the total.
- Answer: 15
[Easy] Basic Ratios
- EN: If there are 4 apples and 2 bananas, what's the ratio of apples to bananas?
- FR: S'il y a 4 pommes et 2 bananes, quel est le rapport de pommes à bananes ?
- Choices: A) 2:1 B) 4:2 C) 1:2 D) 1:1
- Hint: Simplify the ratio.
- Steps:
- Write down the quantities.
- Find the simplest form.
- Answer: 2:1
[Easy] Finding the Mean
- EN: What is the mean of these numbers: 2, 4, 6?
- FR: Quelle est la moyenne de ces nombres : 2, 4, 6 ?
- Choices: A) 4 B) 3 C) 5 D) 2
- Hint: Add them up and divide.
- Steps:
- Calculate the sum.
- Divide by the number of values.
- Answer: 4
[Medium] Simple Algebraic Expressions
- EN: If x = 3, what is x + 4?
- FR: Si x = 3, quel est x + 4 ?
- Choices: A) 7 B) 8 C) 5 D) 9
- Hint: Substitute x in the expression.
- Steps:
- Replace x with 3.
- Simplify the expression.
- Answer: 7
[Medium] Subtracting Integers
- EN: What is 12 - 5?
- FR: Quel est 12 - 5 ?
- Choices: A) 7 B) 8 C) 6 D) 5
- Hint: Think about how many are left.
- Steps:
- Write the subtraction.
- Calculate the answer.
- Answer: 7
[Medium] Finding Percentage Increase
- EN: If a jacket costs $50 and then $60, what is the percentage increase?
- FR: Si une veste coûte 50 $ puis 60 $, quel est l'augmentation en pourcentage ?
- Choices: A) 10% B) 20% C) 25% D) 15%
- Hint: Find the difference and divide by the original.
- Steps:
- Calculate the increase.
- Find the percentage.
- Answer: 20%
[Medium] One-Step Linear Equations
- EN: Solve for x if 2x = 10.
- FR: Résous pour x si 2x = 10.
- Choices: A) 5 B) 6 C) 7 D) 4
- Hint: Divide both sides by 2.
- Steps:
- Rearrange the equation.
- Solve for x.
- Answer: 5
[Hard] Area of a Triangle
- EN: What is the area of a triangle with a base of 8 cm and a height of 4 cm?
- FR: Quelle est la superficie d'un triangle ayant une base de 8 cm et une hauteur de 4 cm ?
- Choices: A) 16 cm² B) 20 cm² C) 24 cm² D) 12 cm²
- Hint: Use the formula (base x height)/2.
- Steps:
- Multiply the base and height.
- Divide by 2.
- Answer: 16
[Hard] Multi-Step Word Problem
- EN: If you have 10 apples and give away 3, then buy 5 more, how many do you have now?
- FR: Si tu as 10 pommes et que tu en donnes 3, puis que tu en achètes 5 de plus, combien en as-tu maintenant ?
- Choices: A) 11 B) 12 C) 13 D) 10
- Hint: Keep track of what you're adding and subtracting.
- Steps:
- Start with 10 apples.
- Subtract 3, then add 5.
- Answer: 12
[Hard] Percent of a Number
- EN: What is 15% of 200?
- FR: Quel est 15 % de 200 ?
- Choices: A) 30 B) 25 C) 45 D) 15
- Hint: Multiply and divide appropriately.
- Steps:
- Calculate 15% of 200.
- Write the answer.
- Answer: 30
[Hard]Probability Problem
- EN: If you have a bag with 3 red marbles and 2 blue marbles, what is the probability of picking a red marble?
- FR: Si tu as un sac avec 3 billes rouges et 2 billes bleues, quelle est la probabilité de piocher une bille rouge ?
- Choices: A) 1/2 B) 3/5 C) 1/5 D) 2/5
- Hint: Calculate the total and the desired condition.
- Steps:
- Total marbles in the bag.
- Find the ratio of red to the total.
- Answer: 3/5
[Hard] Finding the Greatest Common Factor
- EN: What is the greatest common factor of 12 and 18?
- FR: Quel est le plus grand facteur commun de 12 et 18 ?
- Choices: A) 6 B) 9 C) 3 D) 12
- Hint: List the factors.
- Steps:
- Find factors for both numbers.
- Identify the greatest common factor.
- Answer: 6
[Hard] Equation with Variables
- EN: If 5y = 20, what is y?
- FR: Si 5y = 20, quelle est y ?
- Choices: A) 5 B) 4 C) 10 D) 3
- Hint: Divide both sides by 5.
- Steps:
- Rearrange the equation.
- Solve for y.
- Answer: 4
[Hard] Proportions in Cooking
- EN: If 2 cups of flour make 12 cookies, how many cups are needed for 30 cookies?
- FR: Si 2 tasses de farine font 12 biscuits, combien de tasses sont nécessaires pour 30 biscuits ?
- Choices: A) 4 B) 5 C) 6 D) 3
- Hint: Use proportions to calculate.
- Steps:
- Set up a proportion.
- Solve for the cups required.
- Answer: 5
Grade 8 Problems
[Easy] Simplifying Ratios
- EN: What is the ratio of 8 to 4?
- FR: Quel est le rapport de 8 à 4 ?
- Choices: A) 2:1 B) 1:2 C) 4:1 D) 1:4
- Hint: Simplify the numbers.
- Steps:
- Divide both by 4.
- Write the simplified form.
- Answer: 2:1
[Easy] Finding the Mean
- EN: What is the mean of these numbers: 3, 5, 7?
- FR: Quelle est la moyenne de ces nombres : 3, 5, 7 ?
- Choices: A) 4 B) 5 C) 6 D) 7
- Hint: Add the numbers and divide by how many.
- Steps:
- Calculate the sum.
- Divide by 3.
- Answer: 5
[Easy] Converting Percentages
- EN: What is 25% as a fraction?
- FR: Quels sont 25 % en fraction ?
- Choices: A) 1/4 B) 1/3 C) 1/2 D) 1/5
- Hint: Think of a common fraction.
- Steps:
- Convert the percentage.
- Write the fraction.
- Answer: 1/4
[Easy] Calculating Areas
- EN: What is the area of a rectangle with a length of 6 and a width of 3?
- FR: Quelle est l'aire d'un rectangle dont la longueur est de 6 et la largeur de 3 ?
- Choices: A) 12 B) 9 C) 18 D) 15
- Hint: Use length x width.
- Steps:
- Multiply length and width.
- Write down the area.
- Answer: 18
[Medium] Finding Square Roots
- EN: What is the square root of 81?
- FR: Quelle est la racine carrée de 81 ?
- Choices: A) 8 B) 7 C) 9 D) 10
- Hint: Think of a number times itself.
- Steps:
- Identify perfect squares.
- Write down the root.
- Answer: 9
[Medium] Evaluating Expressions
- EN: If x = 3, what is 2x + 5?
- FR: Si x = 3, quel est 2x + 5 ?
- Choices: A) 8 B) 11 C) 9 D) 10
- Hint: Substitute x into the expression.
- Steps:
- Replace x with 3.
- Simplify the expression.
- Answer: 11
[Medium] Finding the Slope
- EN: What is the slope of the line given by the points (1, 2) and (3, 6)?
- FR: Quelle est la pente de la ligne donnée par les points (1, 2) et (3, 6) ?
- Choices: A) 1 B) 2 C) 3 D) 4
- Hint: Use (y₂ - y₁)/(x₂ - x₁).
- Steps:
- Identify coordinates.
- Calculate the slope.
- Answer: 2
[Medium] Solving Two-Step Equations
- EN: Solve for x: 3x + 2 = 11.
- FR: Résous pour x : 3x + 2 = 11.
- Choices: A) 2 B) 3 C) 5 D) 4
- Hint: Subtract first, then divide.
- Steps:
- Rearrange the equation.
- Solve for x.
- Answer: 3
[Hard] Pythagorean Theorem
- EN: In a right triangle, if one leg is 6 and the other leg is 8, what is the length of the hypotenuse?
- FR: Dans un triangle rectangle, si un côté mesure 6 et l'autre 8, quelle est la longueur de l'hypoténuse ?
- Choices: A) 10 B) 12 C) 14 D) 16
- Hint: Use a² + b² = c².
- Steps:
- Calculate 6² + 8².
- Take the square root.
- Answer: 10
[Hard] Finding Percent Decrease
- EN: If a jacket originally costs $80 and is now $60, what is the percent decrease?
- FR: Si une veste coûtait initialement 80 $ et coûte maintenant 60 $, quel est le pourcentage de réduction ?
- Choices: A) 20% B) 25% C) 15% D) 30%
- Hint: Find the decrease and divide by the original cost.
- Steps:
- Calculate the decrease.
- Divide and convert.
- Answer: 25%
[Hard] Solving Inequalities
- EN: Find x if 5x - 7 > 8.
- FR: Trouve x si 5x - 7 > 8.
- Choices: A) 3 B) 2 C) 4 D) 5
- Hint: Solve the inequality.
- Steps:
- Rearrange and solve for x.
- Determine the values satisfying the inequality.
- Answer: 3
[Hard] Evaluating Functions
- EN: If f(x) = x² - 3x + 4, what is f(2)?
- FR: Si f(x) = x² - 3x + 4, quel est f(2) ?
- Choices: A) 4 B) 2 C) 0 D) 5
- Hint: Plug in the value of x.
- Steps:
- Substitute 2 into the function.
- Simplify the expression.
- Answer: 4
[Hard] Calculating Surface Area
- EN: What is the surface area of a cube with a side length of 5 cm?
- FR: Quelle est la superficie d'un cube de longueur de côté de 5 cm ?
- Choices: A) 100 cm² B) 150 cm² C) 200 cm² D) 250 cm²
- Hint: Use the formula 6s².
- Steps:
- Calculate s².
- Multiply by 6.
- Answer: 150
[Hard] Finding Volume of a Cylinder
- EN: What is the volume of a cylinder with a radius of 3 cm and a height of 7 cm? (Use π = 3.14)
- FR: Quel est le volume d'un cylindre ayant un rayon de 3 cm et une hauteur de 7 cm ? (Utilise π = 3.14)
- Choices: A) 63.50 cm³ B) 50.24 cm³ C) 32.66 cm³ D) 47.12 cm³
- Hint: Use the formula V = πr²h.
- Steps:
- Calculate the area of the base.
- Multiply by height.
- Answer: 63.50
[Hard] Solving Quadratic Equations
- EN: Solve for x: x² - 6x + 9 = 0.
- FR: Résous pour x : x² - 6x + 9 = 0.
- Choices: A) 3 B) 2 C) 1 D) 4
- Hint: Factor the quadratic equation.
- Steps:
- Factor to find roots.
- Solve for x.
- Answer: 3
Grade 9 Problems
[Easy] Simplifying Expressions
- EN: What is 2(x + 3)?
- FR: Quel est 2(x + 3) ?
- Choices: A) 2x + 3 B) 2x + 6 C) 2x + 9 D) 3x + 6
- Hint: Distribute the number outside the parentheses.
- Steps:
- Apply the distributive property.
- Simplify the expression.
- Answer: 2x + 6
[Easy] Solving Linear Equations
- EN: What is x if 3x + 9 = 15?
- FR: Que vaut x si 3x + 9 = 15 ?
- Choices: A) 2 B) 3 C) 1 D) 4
- Hint: Subtract 9 from both sides.
- Steps:
- Rearrange the equation.
- Divide by 3.
- Answer: 2
[Easy] Finding Slope
- EN: What is the slope of a line through points (2, 3) and (4, 7)?
- FR: Quelle est la pente d'une ligne passant par les points (2, 3) et (4, 7) ?
- Choices: A) 2 B) 1 C) 3 D) 4
- Hint: Use the formula (y₂ - y₁)/(x₂ - x₁).
- Steps:
- Identify coordinates.
- Calculate the slope.
- Answer: 2
[Easy] Evaluating Functions
- EN: What is f(2) for the function f(x) = x² + 1?
- FR: Quelle est f(2) pour la fonction f(x) = x² + 1 ?
- Choices: A) 4 B) 5 C) 3 D) 1
- Hint: Substitute 2 into the function.
- Steps:
- Replace x with 2.
- Simplify.
- Answer: 5
[Medium] Graphing Inequalities
- EN: What line represents y < 2x + 3?
- FR: Quelle ligne représente y < 2x + 3 ?
- Choices: A) Solid line B) Dashed line C) Not a line D) Both A and B
- Hint: Think about equality conditions.
- Steps:
- Understand solid vs. dashed when graphing.
- Answer: B
[Medium] Standard Form to Slope-Intercept Form
- EN: Convert 2x - 3y = 6 to slope-intercept form.
- FR: Convertis 2x - 3y = 6 en forme de pente-intercept.
- Choices: A) y = 2/3x + 2 B) y = 3/2x - 2 C) y = -2/3x + 2 D) y = 2x + 3
- Hint: Solve for y.
- Steps:
- Isolate y on one side.
- Adjust equation as needed.
- Answer: C
[Medium] Finding Roots of Quadratics
- 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) 1 and 6 B) 2 and 3 C) 0 and 5 D) 3 and 6
- Hint: Factor the equation.
- Steps:
- Factor the quadratic.
- Solve the factors.
- Answer: B
[Medium] Solving for Variables
- EN: If 5x = 20, what is x?
- FR: Si 5x = 20, quelle est x ?
- Choices: A) 4 B) 5 C) 3 D) 6
- Hint: Divide both sides by 5.
- Steps:
- Rearrange.
- Solve for x.
- Answer: 4
[Hard] Solving Simultaneous Equations
- EN: What is the solution of the system 3x + 2y = 6 and y = x + 1?
- FR: Quelle est la solution du système 3x + 2y = 6 et y = x + 1 ?
- Choices: A) (1, 2) B) (2, 3) C) (3, 4) D) (0, 1)
- Hint: Substitute y in the first equation.
- Steps:
- Replace y in the first equation.
- Solve for x.
- Answer: A
[Hard] Area of a Triangle
- EN: What is the area of a triangle with a base of 10 and a height of 5?
- FR: Quelle est l'aire d'un triangle avec une base de 10 et une hauteur de 5 ?
- Choices: A) 25 B) 20 C) 30 D) 15
- Hint: Use (base x height)/2.
- Steps:
- Calculate the base and height.
- Divide by 2.
- Answer: A
[Hard] Polynomial Addition
- EN: What is (3x² + 2x) + (4x² - 3x)?
- FR: Qu'est-ce que (3x² + 2x) + (4x² - 3x) ?
- Choices: A) 7x² - x B) 6x² + x C) 8x² + 2x D) 2x² - x
- Hint: Combine like terms.
- Steps:
- Add polynomials.
- Simplify.
- Answer: A
[Hard] Finding Probability
- EN: If you roll a die, what is the probability of rolling an even number?
- FR: Si tu lances un dé, quelle est la probabilité d'obtenir un nombre pair ?
- Choices: A) 1/2 B) 1/6 C) 2/3 D) 1/3
- Hint: Count the favorable outcomes.
- Steps:
- Identify possible outcomes.
- Write the probability.
- Answer: A
[Hard] Converting Units
- EN: Convert 5 kilometers to meters.
- FR: Convertis 5 kilomètres en mètres.
- Choices: A) 500 m B) 5000 m C) 50 m D) 100 m
- Hint: Know 1 km = 1000 m.
- Steps:
- Multiply by 1000.
- Write down the results.
- Answer: B
[Hard] Using the Pythagorean Theorem
- EN: Find the hypotenuse in a right triangle with legs of 6 and 8.
- FR: Trouve l'hypoténuse d'un triangle rectangle avec des côtés de 6 et 8.
- Choices: A) 10 B) 12 C) 14 D) 16
- Hint: Use a² + b² = c².
- Steps:
- Calculate 6² + 8².
- Take the square root.
- Answer: A
[Hard] Evaluating Quadratics
- EN: Find the value of x² - 4 when x = 3.
- FR: Trouve la valeur de x² - 4 quand x = 3.
- Choices: A) 7 B) 5 C) 6 D) 8
- Hint: Substitute x in the equation.
- Steps:
- Replace x with 3.
- Calculate the result.
- Answer: A
Grade 10 Problems
[Easy] Quadratic Equations
- EN: What are the roots of x² - 4 = 0?
- FR: Quelles sont les racines de x² - 4 = 0 ?
- Choices: A) 4 B) 0 C) ±2 D) ±4
- Hint: Factor the equation.
- Steps:
- Factor into (x - 2)(x + 2).
- Write down the roots.
- Answer: C
[Easy] Converting Standard Form
- EN: Convert 2y = 3x + 6 to slope-intercept form.
- FR: Convertis 2y = 3x + 6 en forme de pente-intercept.
- Choices: A) y = 3/2x + 3 B) y = 3/2x C) y = 3x + 6 D) y = 6 - 3x
- Hint: Solve for y.
- Steps:
- Rearrange the equation.
- Divide and simplify.
- Answer: A
[Easy] Finding the Slope
- 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) 3 C) 2 D) 1
- Hint: Identify the coefficient of x.
- Steps:
- Look at the equation's form.
- Write the slope.
- Answer: C
[Easy] Evaluating a Function
- EN: If f(x) = 3x + 5, what is f(2)?
- FR: Si f(x) = 3x + 5, quel est f(2) ?
- Choices: A) 11 B) 10 C) 9 D) 12
- Hint: Substitute x = 2.
- Steps:
- Plug 2 into the function.
- Calculate the result.
- Answer: A
[Medium] Solving Quadratic Functions
- EN: What are the roots of the quadratic equation x² - 8x + 15 = 0?
- FR: Quelles sont les racines de l'équation quadratique x² - 8x + 15 = 0 ?
- Choices: A) 3 and 5 B) 1 and 3 C) 2 and 3 D) 4 and 5
- Hint: Factor the quadratic.
- Steps:
- Identify the factors.
- Solve for x.
- Answer: A
[Medium] Finding Prime Factors
- EN: What are the prime factors of 28?
- FR: Quels sont les facteurs premiers de 28 ?
- Choices: A) 2, 4, 7 B) 2, 14 C) 2, 7 D) 4, 7
- Hint: List the prime numbers that divide 28.
- Steps:
- Factor 28 into prime numbers.
- Write down the factors.
- Answer: C
[Medium] Quadratic Applications
- EN: A ball is thrown upward from a height of 5 meters with an initial velocity of 10 m/s. What is its height after 1 second?
- FR: Une balle est lancée vers le haut d'une hauteur de 5 mètres avec une vitesse initiale de 10 m/s. Quelle est sa hauteur après 1 seconde ?
- Choices: A) 15m B) 10m C) 5m D) 20m
- Hint: Use the quadratic formula.
- Steps:
- Calculate using the quadratic function of motion.
- Substitute in time to find height.
- Answer: A
[Medium] Solving Simultaneous Equations
- EN: Solve the system of equations 2x + 3y = 6 and x - y = 1.
- FR: Résous le système d'équations 2x + 3y = 6 et x - y = 1.
- Choices: A) (1, 2) B) (2, 1) C) (-1, 5) D) (0, 2)
- Hint: Use substitution or elimination.
- Steps:
- Rearrange one equation for substitution.
- Solve for x and y.
- Answer: A
[Hard] Finding the Vertex of a Parabola
- EN: Find the vertex of the parabola defined by y = x² - 4x + 5.
- FR: Trouve le sommet de la parabole définie par y = x² - 4x + 5.
- Choices: A) (2, 1) B) (0, 4) C) (2, 5) D) (4, 0)
- Hint: Use the vertex formula.
- Steps:
- Find the x-coordinate using -b/2a.
- Substitute back for y.
- Answer: A
[Hard] Calculating the Discriminant
- EN: What is the discriminant of the quadratic equation x² + 4x + 4 = 0?
- FR: Quel est le discriminant de l'équation quadratique x² + 4x + 4 = 0 ?
- Choices: A) 16 B) 0 C) 4 D) 20
- Hint: Use the formula b² - 4ac.
- Steps:
- Identify a, b, and c.
- Calculate the discriminant.
- Answer: B
[Hard] Graphing Quadratic Functions
- EN: Which vertex corresponds to the quadratic function y = -x² + 4?
- FR: Quel sommet correspond à la fonction quadratique y = -x² + 4 ?
- Choices: A) (0, 4) B) (2, 0) C) (0, -4) D) (-2, 0)
- Hint: Identify maximum or minimum points of the parabola.
- Steps:
- Sketch the graph or identify the vertex.
- Write down the vertex.
- Sketch the graph or identify the vertex.
- Answer: A
[Hard] Finding Maximum Values
- EN: What is the maximum value of x² - 6x + 8?
- FR: Quelle est la valeur maximale de x² - 6x + 8 ?
- Choices: A) 1 B) 4 C) 8 D) 10
- Hint: Find the vertex.
- Steps:
- Use Completing the Square or use the vertex formula method.
- Write down the value.
- Answer: C
[Hard] Determining Intersection of Circles
- EN: Given circles with equations (x - 2)² + (y + 3)² = 16 and (x + 4)² + (y - 1)² = 9, how many intersections do they have?
- FR: Donnés des cercles avec les équations (x - 2)² + (y + 3)² = 16 et (x + 4)² + (y - 1)² = 9, combien d'intersections ont-ils ?
- Choices: A) None B) 1 C) 2 D) Infinitely many
- Hint: Analyze the distances between centers and radii.
- Steps:
- Setup the equations.
- Apply intersection conditions.
- Answer: C
[Hard] Logarithmic Applications
- EN: Solve for x in the equation log(x) + log(5) = 2.
- FR: Résous pour x dans l'équation log(x) + log(5) = 2.
- Choices: A) 20 B) 5 C) 10 D) 25
- Hint: Combine logarithms effectively.
- Steps:
- Use properties of logarithms.
- Write the final form.
- Answer: A
[Hard] Calculating Exact Volumes
- EN: What is the volume of a cylinder with radius 3 cm and height 5 cm? (Use π = 3.14)
- FR: Quel est le volume d'un cylindre de rayon 3 cm et de hauteur 5 cm ? (Utiliser π = 3.14)
- Choices: A) 30 B) 47.1 C) 47.1 D) 60
- Hint: Use the formula V = πr²h.
- Steps:
- Compute the base area first.
- Multiply by height.
- Answer: B
Grade 11 Problems
[Easy] Evaluating Functions
- EN: If f(x) = x² + 3, what is f(2)?
- FR: Si f(x) = x² + 3, quel est f(2) ?
- Choices: A) 6 B) 5 C) 4 D) 7
- Hint: Substitute x in the equation.
- Steps:
- Replace x with 2.
- Calculate the value.
- Answer: A
[Easy] Linear Functions
- EN: What is the slope of the line y = 3x + 2?
- FR: Quelle est la pente de la ligne y = 3x + 2 ?
- Choices: A) 2 B) 1 C) 3 D) 0
- Hint: Identify the coefficient of x.
- Steps:
- Write down the slope.
- Answer: C
[Easy] Simple Probability
- EN: What is the probability of flipping a head on a fair coin?
- FR: Quelle est la probabilité d'obtenir un côté sur une pièce équitable ?
- Choices: A) 0.5 B) 0.2 C) 0.8 D) 0.3
- Hint: Consider the number of outcomes.
- Steps:
- Count favorable to total.
- Answer: A
[Easy] Finding 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) 0 C) 4 D) 9
- Hint: Factor the equation.
- Steps:
- Factor into (x - 3)(x + 3).
- Answer: A
[Medium] Matrix Multiplication
- EN: Multiply the matrices: [1 2] and [3; 4].
- FR: Multiplie les matrices: [1 2] et [3; 4].
- Choices: A) 11 B) 10 C) 12 D) 8
- Hint: Use the rule for matrix multiplication.
- Steps:
- Multiply across rows and columns systematically.
- Answer: A
[Medium] Logarithmic Functions
- EN: What is the solution of the equation log(x) = 2?
- FR: Quelle est la solution de l'équation log(x) = 2 ?
- Choices: A) 2 B) 100 C) 10 D) 20
- Hint: Remember that log(x) means 10 raised to that power.
- Steps:
- Convert logarithmic to exponential form.
- Answer: B
[Medium] System of Equations
- EN: Solve the system: 2x + 3y = 12 and x - y = 2.
- FR: Résous le système : 2x + 3y = 12 et x - y = 2.
- Choices: A) (2, 2) B) (3, 0) C) (1, 3) D) (4, 0)
- Hint: Use substitution or elimination method.
- Steps:
- Rearrange one equation.
- Substitute into the other.
- Answer: A
[Medium] Probability and Combinations
- EN: In a class of 30 students, what is the probability of randomly selecting a student who is taller than 6 feet if 5 students meet this condition?
- FR: Dans une classe de 30 élèves, quelle est la probabilité de sélectionner au hasard un élève qui mesure plus de 6 pieds si 5 élèves correspondent à cette condition ?
- Choices: A) 1/6 B) 1/5 C) 1/10 D) 1/3
- Hint: Find favorable outcomes over total outcomes.
- Steps:
- Count conditions and total.
- Calculate the probability.
- Answer: A
[Hard] Quadratic Functions
- EN: What is the vertex of the quadratic y = x² - 6x + 8?
- FR: Quel est le sommet de la quadratique
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