Daily Math — 2026-04-26
Grade 1 Problems
[Easy] Count the Money
- EN: How many cents are in two dimes?
- FR: Combien de cents y a-t-il dans deux dimes?
- Choices: A) 10 B) 20 C) 30 D) 15
- Hint: Multiply the value of one dime.
- Steps:
- Step 1: Know the value of one dime.
- Step 2: Multiply by 2.
- Answer: 20
[Easy] How Many Apples?
- EN: You have 3 apples. You buy 2 more. How many apples do you have?
- FR: Tu as 3 pommes. Tu en achètes 2 de plus. Combien de pommes as-tu?
- Choices: A) 4 B) 5 C) 3 D) 6
- Hint: Add 3 and 2.
- Steps:
- Step 1: Start with 3 apples.
- Step 2: Add the 2 more apples.
- Answer: 5
[Easy] Days of the Week
- EN: How many days are in a week?
- FR: Combien de jours y a-t-il dans une semaine?
- Choices: A) 5 B) 6 C) 7 D) 8
- Hint: A familiar cycle.
- Steps:
- Step 1: Recall the days.
- Step 2: Count them.
- Answer: 7
[Easy] Simple Addition
- EN: What is 4 + 3?
- FR: Quel est 4 + 3?
- Choices: A) 5 B) 7 C) 6 D) 8
- Hint: Start at 4 and count up.
- Steps:
- Step 1: Start with 4.
- Step 2: Add 3 more.
- Answer: 7
[Medium] Comparing Numbers
- EN: Which is greater: 8 or 5?
- FR: Lequel est plus grand: 8 ou 5?
- Choices: A) 5 B) 8 C) Both are equal D) Neither
- Hint: Think about counting.
- Steps:
- Step 1: Compare the two numbers.
- Step 2: Identify the larger number.
- Answer: 8
[Medium] Adding Money
- EN: You have 1 dollar (100 cents). You buy a toy for 30 cents. How much do you have left?
- FR: Tu as 1 dollar (100 cents). Tu achètes un jouet pour 30 cents. Combien te reste-t-il?
- Choices: A) 70 B) 60 C) 50 D) 80
- Hint: Subtract from 100.
- Steps:
- Step 1: Start with 100 cents.
- Step 2: Subtract the price of the toy.
- Answer: 70
[Medium] Skip Counting
- EN: What is 10, 20, 30, ...? What comes next?
- FR: Qu'est-ce que 10, 20, 30, ...? Qu'est-ce qui vient ensuite?
- Choices: A) 40 B) 35 C) 45 D) 50
- Hint: Count by tens.
- Steps:
- Step 1: Look for the pattern.
- Step 2: Identify the next number.
- Answer: 40
[Medium] Simple Subtraction
- EN: If you have 10 candies and eat 4, how many left?
- FR: Si tu as 10 bonbons et que tu en manges 4, combien en reste-t-il?
- Choices: A) 5 B) 6 C) 7 D) 4
- Hint: Start from 10 and take away 4.
- Steps:
- Step 1: Start with 10 candies.
- Step 2: Subtract the 4 eaten.
- Answer: 6
[Hard] Combine Coins
- EN: You have 3 toonies and 4 loonies. How much money is that?
- FR: Tu as 3 toonies et 4 loonies. Combien d’argent cela fait-il?
- Choices: A) 10 B) 11 C) 12 D) 9
- Hint: Know the value of toonies and loonies.
- Steps:
- Step 1: Calculate the value of toonies.
- Step 2: Calculate the value of loonies and add them.
- Answer: 10
[Hard] Days until the Weekend
- EN: Today is Wednesday. How many days until Sunday?
- FR: Aujourd'hui, c'est mercredi. Combien de jours jusqu'à dimanche?
- Choices: A) 2 B) 3 C) 4 D) 5
- Hint: Count the days from Wednesday to Sunday.
- Steps:
- Step 1: List the days to Sunday.
- Step 2: Count how many days there are.
- Answer: 4
Grade 2 Problems
[Easy] Count the Coins
- EN: How many nickels are in a dollar?
- FR: Combien de nickels y a-t-il dans un dollar?
- Choices: A) 15 B) 20 C) 25 D) 30
- Hint: Calculate the value of one nickel.
- Steps:
- Step 1: Value of one nickel is 5 cents.
- Step 2: Divide 100 by 5.
- Answer: 20
[Easy] Simple Time
- EN: What time is it if the hour hand is on 3 and the minute hand is on 6?
- FR: Quelle heure est-il si l'aiguille des heures est sur 3 et l'aiguille des minutes est sur 6?
- Choices: A) 3:30 B) 4:00 C) 3:00 D) 2:30
- Hint: Look at the minute hand.
- Steps:
- Step 1: Identify the hour.
- Step 2: Identify the minutes.
- Answer: 3:30
[Easy] Total Length
- EN: You have a ribbon that is 10 cm long. You cut it in half. How long is each piece?
- FR: Tu as un ruban de 10 cm de long. Tu le cuts en deux. Combien mesure chaque morceau?
- Choices: A) 3 cm B) 4 cm C) 5 cm D) 6 cm
- Hint: Divide by 2.
- Steps:
- Step 1: Start with 10 cm.
- Step 2: Divide by 2.
- Answer: 5
[Easy] Ice Cream Cones
- EN: You have 2 ice cream cones and your friend gives you 2 more. How many do you have?
- FR: Tu as 2 cornets de crème glacée et ton ami t’en donne 2 de plus. Combien en as-tu?
- Choices: A) 4 B) 6 C) 5 D) 3
- Hint: Add them together.
- Steps:
- Step 1: Count your cones.
- Step 2: Add your friend’s cones.
- Answer: 4
[Medium] Adding Coins
- EN: If you have 80 cents and find 20 cents, how much do you have now?
- FR: Si tu as 80 cents et que tu trouves 20 cents, combien as-tu maintenant?
- Choices: A) 90 B) 100 C) 80 D) 75
- Hint: Start with 80 and add 20.
- Steps:
- Step 1: Start with 80 cents.
- Step 2: Add 20 cents.
- Answer: 100
[Medium] Measuring Time
- EN: John watched a movie for 1 hour and 30 minutes. If he started at 5 PM, what time did he finish?
- FR: John a regardé un film pendant 1 heure et 30 minutes. S'il a commencé à 17 h, à quelle heure a-t-il terminé?
- Choices: A) 6:30 PM B) 7:00 PM C) 7:30 PM D) 8:00 PM
- Hint: Add the time to 5 PM.
- Steps:
- Step 1: Add 1 hour to 5 PM.
- Step 2: Add 30 minutes.
- Answer: 6:30
[Medium] Pattern Recognition
- EN: What comes next in the pattern: red, blue, red, blue, ...?
- FR: Que vient-il ensuite dans le motif : rouge, bleu, rouge, bleu, ...?
- Choices: A) Blue B) Red C) Green D) Yellow
- Hint: Identify the repeating colours.
- Steps:
- Step 1: Look for the color pattern.
- Step 2: Determine what follows.
- Answer: Red
[Medium] Subtracting Time
- EN: If you have 45 minutes until lunch and it is 12:15 PM, what time is lunch?
- FR: Si tu as 45 minutes jusqu'au déjeuner et qu'il est 12 h 15, à quelle heure est le déjeuner?
- Choices: A) 12:45 B) 1:00 C) 1:15 D) 12:30
- Hint: Add 45 minutes to the current time.
- Steps:
- Step 1: Start from 12:15 PM.
- Step 2: Add 45 minutes.
- Answer: 1:00
[Hard] Dividing Length
- EN: You have a piece of string that is 30 cm long. If you cut it into 6 equal pieces, how long is each piece?
- FR: Tu as un morceau de ficelle qui mesure 30 cm de long. Si tu le coupes en 6 morceaux égaux, quelle est la longueur de chaque morceau?
- Choices: A) 5 B) 4 C) 6 D) 7
- Hint: Divide the total length by the number of pieces.
- Steps:
- Step 1: Know the total length.
- Step 2: Divide by 6.
- Answer: 5
[Hard] Comparing Lengths
- EN: If a pencil is 15 cm long and an eraser is 10 cm long, how much longer is the pencil than the eraser?
- FR: Si un crayon mesure 15 cm de long et une gomme mesure 10 cm de long, combien le crayon est-il plus long que la gomme?
- Choices: A) 3 B) 4 C) 5 D) 2
- Hint: Subtract the length of the eraser from the pencil.
- Steps:
- Step 1: Identify the lengths.
- Step 2: Subtract the lengths.
- Answer: 5
Grade 3 Problems
[Easy] Simple Multiplication
- EN: What is 3 times 2?
- FR: Quel est 3 fois 2?
- Choices: A) 5 B) 6 C) 7 D) 8
- Hint: Count by 3s.
- Steps:
- Step 1: Start with 3.
- Step 2: Add it twice.
- Answer: 6
[Easy] Basic Division
- EN: If you have 10 apples and share them with 2 friends, how many apples does each get?
- FR: Si tu as 10 pommes et que tu les partages avec 2 amis, combien de pommes chacun reçoit?
- Choices: A) 3 B) 4 C) 5 D) 6
- Hint: Divide 10 by 3.
- Steps:
- Step 1: Total apples = 10.
- Step 2: Divide by 2.
- Answer: 5
[Easy] Identify Fractions
- EN: What fraction is 1 out of 4?
- FR: Quelle fraction est 1 sur 4?
- Choices: A) 1/2 B) 1/4 C) 3/4 D) 2/4
- Hint: Think of a pizza cut into 4.
- Steps:
- Step 1: Recognize parts of the whole.
- Step 2: Identify 1 part of 4.
- Answer: 1/4
[Easy] Counting Shapes
- EN: How many sides does a triangle have?
- FR: Combien de côtés a un triangle?
- Choices: A) 3 B) 4 C) 2 D) 5
- Hint: Count the corners.
- Steps:
- Step 1: Know triangle points.
- Step 2: Count straight edges.
- Answer: 3
[Medium] Area of a Rectangle
- EN: A rectangle has a length of 4 cm and a width of 3 cm. What is its area?
- FR: Un rectangle a une longueur de 4 cm et une largeur de 3 cm. Quelle est sa superficie?
- Choices: A) 12 B) 10 C) 7 D) 8
- Hint: Multiply length by width.
- Steps:
- Step 1: Length is 4 cm.
- Step 2: Width is 3 cm.
- Answer: 12
[Medium] Comparing Fractions
- EN: Which is greater: 1/2 or 1/4?
- FR: Lequel est plus grand: 1/2 ou 1/4?
- Choices: A) 1/2 B) 1/4 C) Both are equal D) None
- Hint: Think about half and a quarter of a pie.
- Steps:
- Step 1: Understand the values of each.
- Step 2: Compare them to find the larger one.
- Answer: 1/2
[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. Quel est son périmètre?
- Choices: A) 20 B) 16 C) 12 D) 18
- Hint: Add all the sides together.
- Steps:
- Step 1: Use the formula for perimeter.
- Step 2: Calculate.
- Answer: 16
[Medium] Simple Graph Reading
- EN: If 5 kids like apples, 3 kids like bananas, and 2 like oranges, how many kids like fruit?
- FR: Si 5 enfants aiment les pommes, 3 enfants aiment les bananes et 2 aiment les oranges, combien d'enfants aiment les fruits?
- Choices: A) 8 B) 9 C) 10 D) 7
- Hint: Add all the kids together.
- Steps:
- Step 1: Add the kids who like each fruit.
- Step 2: Find the total number of kids.
- Answer: 10
[Hard] Basic Multiplication and Addition
- EN: Johnny buys 3 packs of gum, and each pack has 4 pieces. How many pieces total?
- FR: Johnny achète 3 paquets de chewing-gum, et chaque paquet contient 4 pièces. Combien y a-t-il de pièces en tout?
- Choices: A) 12 B) 10 C) 15 D) 8
- Hint: Multiply packs by pieces in each.
- Steps:
- Step 1: Multiply 3 by 4.
- Step 2: Find the total amount of gum pieces.
- Answer: 12
[Hard] Fraction Addition
- EN: If you have 1/4 of a pizza and your friend gives you another 1/4, how much do you have now?
- FR: Si tu as 1/4 d'une pizza et que ton ami t'en donne un autre 1/4, combien en as-tu maintenant?
- Choices: A) 3/4 B) 2/4 C) 1/2 D) 1/4
- Hint: Add the fractions.
- Steps:
- Step 1: Recognize same denominators.
- Step 2: Add the numerators.
- Answer: 2/4
Grade 4 Problems
[Easy] Multiplication Facts
- EN: What is 7 times 3?
- FR: Quel est 7 fois 3?
- Choices: A) 21 B) 24 C) 18 D) 15
- Hint: Think of 7 groups of 3.
- Steps:
- Step 1: Use multiplication table.
- Step 2: Find the product.
- Answer: 21
[Easy] Simple Division
- EN: If you have 24 cookies and share them with 8 friends, how many cookies does each get?
- FR: Si tu as 24 biscuits et que tu les partages avec 8 amis, combien de biscuits chacun reçoit?
- Choices: A) 3 B) 4 C) 5 D) 6
- Hint: Divide 24 by 8.
- Steps:
- Step 1: Understand how many friends.
- Step 2: Divide cookies equally.
- Answer: 3
[Easy] Adding Fractions
- EN: What is 1/2 + 1/2?
- FR: Quel est 1/2 + 1/2?
- Choices: A) 1 B) 1/2 C) 2 D) 3/2
- Hint: They make a whole.
- Steps:
- Step 1: Look at the denominators.
- Step 2: Add the numerators.
- Answer: 1
[Easy] Area of a Square
- EN: A square has a side length of 4 cm. What is its area?
- FR: Un carré a une longueur de côté de 4 cm. Quelle est sa superficie?
- Choices: A) 12 B) 16 C) 20 D) 8
- Hint: Use side × side.
- Steps:
- Step 1: Know the formula for area.
- Step 2: Calculate using the side.
- Answer: 16
[Medium] Subtracting Fractions
- EN: What is 3/4 - 1/4?
- FR: Quel est 3/4 - 1/4?
- Choices: A) 1/4 B) 3/4 C) 2/4 D) 4/4
- Hint: Subtract the numerators.
- Steps:
- Step 1: Keep the denominator the same.
- Step 2: Subtract the numerators.
- Answer: 2/4
[Medium] Finding Perimeter
- EN: A rectangle’s length is 7 cm and its width is 4 cm. What is its perimeter?
- FR: Un rectangle a une longueur de 7 cm et une largeur de 4 cm. Quel est son périmètre?
- Choices: A) 11 B) 20 C) 18 D) 14
- Hint: Use the perimeter formula (2 × (length + width)).
- Steps:
- Step 1: Add the length and width.
- Step 2: Multiply by 2.
- Answer: 22
[Medium] Finding the Unknown
- EN: If 5x = 20, what is x?
- FR: Si 5x = 20, quelle est la valeur de x?
- Choices: A) 2 B) 4 C) 5 D) 10
- Hint: Divide 20 by 5.
- Steps:
- Step 1: Start with 5x.
- Step 2: Solve for x by dividing.
- Answer: 4
[Medium] Finding the Total Cost
- EN: A toy costs $12. If you buy 3 toys, how much do you spend?
- FR: Un jouet coûte 12 $. Si tu achètes 3 jouets, combien dépenses-tu?
- Choices: A) 36 B) 30 C) 24 D) 15
- Hint: Multiply the toy cost by 3.
- Steps:
- Step 1: Know the cost of one toy.
- Step 2: Multiply by the quantity.
- Answer: 36
[Hard] Surface Area of a Cube
- EN: A cube has a side length of 3 cm. What is its surface area?
- FR: Un cube a une longueur de côté de 3 cm. Quelle est sa surface?
- Choices: A) 18 B) 27 C) 24 D) 36
- Hint: Surface area = 6 × side².
- Steps:
- Step 1: Square the side length.
- Step 2: Multiply by 6.
- Answer: 54
[Hard] Solving Two-Step Equations
- EN: If 3x + 5 = 20, what is x?
- FR: Si 3x + 5 = 20, quelle est la valeur de x?
- Choices: A) 3 B) 4 C) 5 D) 6
- Hint: Subtract 5, then divide by 3.
- Steps:
- Step 1: Isolate the term with x.
- Step 2: Solve for x.
- Answer: 5
Grade 5 Problems
[Easy] Adding Whole Numbers
- EN: What is 25 + 15?
- FR: Quel est 25 + 15?
- Choices: A) 40 B) 45 C) 35 D) 30
- Hint: Add 25 and 15 together.
- Steps:
- Step 1: Align the numbers.
- Step 2: Carry over if needed.
- Answer: 40
[Easy] Subtracting Whole Numbers
- EN: What is 50 - 20?
- FR: Quel est 50 - 20?
- Choices: A) 25 B) 30 C) 35 D) 28
- Hint: Start at 50 and count backwards.
- Steps:
- Step 1: Begin at 50.
- Step 2: Count down 20.
- Answer: 30
[Easy] Multiplying by 10
- EN: What is 7 times 10?
- FR: Quel est 7 fois 10?
- Choices: A) 70 B) 71 C) 60 D) 80
- Hint: Just add a zero.
- Steps:
- Step 1: Only multiply by 7 and 0.
- Step 2: Combine the two to find the answer.
- Answer: 70
[Easy] Dividing by 5
- EN: If you have 25 candies and share them with 5 friends, how many does each get?
- FR: Si tu as 25 bonbons et que tu les partages avec 5 amis, combien chacun reçoit-il?
- Choices: A) 5 B) 4 C) 3 D) 6
- Hint: Divide 25 by 5.
- Steps:
- Step 1: Total candies = 25.
- Step 2: Divide by 5.
- Answer: 5
[Medium] Adding Fractions with Like Denominators
- EN: What is 2/5 + 1/5?
- FR: Quel est 2/5 + 1/5?
- Choices: A) 3/5 B) 4/5 C) 2/5 D) 1/5
- Hint: Keep the denominator the same.
- Steps:
- Step 1: Add the numerators.
- Step 2: Keep the denominator unchanged.
- Answer: 3/5
[Medium] Finding Volume
- EN: What is the volume of a rectangular prism with length 4 cm, width 3 cm, and height 2 cm?
- FR: Quelle est la volume d'un prisme rectangulaire avec longueur de 4 cm, largeur de 3 cm et hauteur de 2 cm?
- Choices: A) 24 B) 20 C) 18 D) 6
- Hint: Use the formula: length × width × height.
- Steps:
- Step 1: Multiply the dimensions.
- Step 2: Find the total volume.
- Answer: 24
[Medium] Finding Percentages
- EN: What is 10% of 200?
- FR: Quel est 10 % de 200?
- Choices: A) 20 B) 30 C) 10 D) 40
- Hint: Divide by 10.
- Steps:
- Step 1: Calculate 1/10 of 200.
- Step 2: Multiply by 10.
- Answer: 20
[Medium] Multi-step Word Problem
- EN: Sarah has 5 packs of crayons with 8 crayons each. If she gives away 10 crayons, how many does she have left?
- FR: Sarah a 5 paquets de crayons avec 8 crayons chacun. Si elle donne 10 crayons, combien lui reste-t-il?
- Choices: A) 30 B) 25 C) 28 D) 35
- Hint: Calculate total crayons first, then subtract.
- Steps:
- Step 1: Find total crayon count.
- Step 2: Subtract the given away.
- Answer: 30
[Hard] Simplifying Fractions
- EN: Simplify 8/12.
- FR: Simplifie 8/12.
- Choices: A) 2/3 B) 1/2 C) 3/4 D) 1/3
- Hint: Find the greatest common divisor.
- Steps:
- Step 1: Determine what divides evenly.
- Step 2: Divide both terms by that number.
- Answer: 2/3
[Hard] Mixed Number to Improper Fraction
- EN: Convert 2 1/3 to an improper fraction.
- FR: Convertis 2 1/3 en une fraction impropre.
- Choices: A) 7/3 B) 6/3 C) 5/3 D) 8/3
- Hint: Multiply the whole number by the denominator and add the numerator.
- Steps:
- Step 1: Calculate as indicated.
- Step 2: Write in the improper format.
- Answer: 7/3
Grade 6 Problems
[Easy] Adding Fractions with Like Denominators
- EN: What is 1/6 + 2/6?
- FR: Quel est 1/6 + 2/6?
- Choices: A) 1/6 B) 3/6 C) 4/6 D) 2/6
- Hint: Keep the denominator and add the numerators.
- Steps:
- Step 1: Add the numerators.
- Step 2: Keep the denominator the same.
- Answer: 3/6
[Easy] Finding Ratios
- EN: If there are 2 cats for every 3 dogs, what is the ratio of cats to dogs?
- FR: S'il y a 2 chats pour chaque 3 chiens, quel est le ratio de chats par rapport aux chiens?
- Choices: A) 2:3 B) 3:2 C) 1:1 D) 4:3
- Hint: Look at the numbers of each.
- Steps:
- Step 1: Identify the counts.
- Step 2: Write as a ratio.
- Answer: 2:3
[Easy] Integer Addition
- EN: What is -4 + 9?
- FR: Quel est -4 + 9?
- Choices: A) 2 B) 3 C) 5 D) 6
- Hint: Start at -4 and count up.
- Steps:
- Step 1: Visualize on a number line.
- Step 2: Count to +9.
- Answer: 5
[Easy] Simple Percentages
- EN: What is 50% of 50?
- FR: Quel est 50 % de 50?
- Choices: A) 25 B) 50 C) 15 D) 35
- Hint: Half of 50.
- Steps:
- Step 1: Divide 50 by 2.
- Step 2: Find the answer.
- Answer: 25
[Medium] Simple Algebraic Expressions
- EN: If x = 3, what is 2x + 4?
- FR: Si x = 3, quel est 2x + 4?
- Choices: A) 8 B) 10 C) 7 D) 5
- Hint: Substitute x into the equation.
- Steps:
- Step 1: Replace x with 3.
- Step 2: Perform the operations.
- Answer: 10
[Medium] Mixed Numbers and Improper Fractions
- EN: Convert 1 1/4 to an improper fraction.
- FR: Convertis 1 1/4 en une fraction impropre.
- Choices: A) 5/4 B) 6/4 C) 4/3 D) 3/2
- Hint: Find the total parts.
- Steps:
- Step 1: Multiply the whole by the bottom.
- Step 2: Add the top.
- Answer: 5/4
[Medium] Finding the Average
- EN: What is the mean of the numbers 4, 6, and 8?
- FR: Quelle est la moyenne des nombres 4, 6 et 8?
- Choices: A) 6 B) 7 C) 5 D) 8
- Hint: Sum and divide by the number of values.
- Steps:
- Step 1: Add 4 + 6 + 8.
- Step 2: Divide by 3.
- Answer: 6
[Medium] Surface Area of a Cube
- EN: A cube with a side length of 2 cm has what surface area?
- FR: Un cube avec une longueur de côté de 2 cm a quelle surface?
- Choices: A) 8 B) 12 C) 24 D) 30
- Hint: Use the formula 6 × side².
- Steps:
- Step 1: Square the side length.
- Step 2: Multiply by 6.
- Answer: 24
[Hard] Ratio Problems
- EN: If a recipe needs 4 cups of flour for every 2 cups of sugar, what is the ratio of flour to sugar?
- FR: Si une recette nécessite 4 tasses de farine pour chaque 2 tasses de sucre, quel est le rapport de la farine au sucre?
- Choices: A) 2:1 B) 4:2 C) 1:2 D) 4:1
- Hint: Simplify the ratio if possible.
- Steps:
- Step 1: Write the ratio.
- Step 2: Simplify.
- Answer: 2:1
[Hard] Integer Operations
- EN: What is -6 - (+2)?
- FR: Quel est -6 - (+2)?
- Choices: A) -8 B) -4 C) -10 D) -5
- Hint: Think about combining negatives.
- Steps:
- Step 1: Convert to addition.
- Step 2: Add the numbers.
- Answer: -8
[Hard] Two-Step Algebra Equations
- EN: Solve for y: 3y - 5 = 10.
- FR: Résous pour y: 3y - 5 = 10.
- Choices: A) 3 B) 5 C) 9 D) 7
- Hint: Add 5 to both sides, then divide by 3.
- Steps:
- Step 1: Isolate terms.
- Step 2: Solve for y.
- Answer: 5
[Hard] Percent Increase
- EN: A shirt costs $20 and is now $25. What is the percent increase?
- FR: Une chemise coûte 20 $ et coûte maintenant 25 $. Quel est le pourcentage d'augmentation?
- Choices: A) 10% B) 15% C) 25% D) 20%
- Hint: Subtract the old price, then divide by the old price.
- Steps:
- Step 1: Calculate the difference.
- Step 2: Find the percent based on the original.
- Answer: 25%
[Hard] Financial Math: Simple Interest
- EN: If you invest $100 at 5% per year for 3 years, what will the total interest be?
- FR: Si tu investis 100 $ à 5 % par an pendant 3 ans, quel sera le total des intérêts?
- Choices: A) 10 B) 15 C) 12 D) 5
- Hint: Use the interest formula: I = PRT.
- Steps:
- Step 1: Multiply the principal by rate and time.
- Step 2: Find total interest earned.
- Answer: 15
[Hard] Solving for x
- EN: If 2x + 4 = 14, what is x?
- FR: Si 2x + 4 = 14, quelle est la valeur de x?
- Choices: A) 5 B) 7 C) 6 D) 8
- Hint: Subtract 4, then divide by 2.
- Steps:
- Step 1: Isolate the variable.
- Step 2: Solve for x.
- Answer: 5
[Hard] Comparing Fractions
- EN: Which is greater: 3/8 or 1/2?
- FR: Lequel est plus grand: 3/8 ou 1/2?
- Choices: A) 1/2 B) 3/8 C) They are equal D) None
- Hint: Convert to a common denominator for comparison.
- Steps:
- Step 1: Find a common denominator.
- Step 2: Compare the numerators.
- Answer: 1/2
Grade 7 Problems
[Easy] Addition with Integers
- EN: What is -2 + 3?
- FR: Quel est -2 + 3?
- Choices: A) 5 B) -1 C) 1 D) 0
- Hint: Start from -2 and count up.
- Steps:
- Step 1: Think about the number line.
- Step 2: Add accordingly.
- Answer: 1
[Easy] Simple Probability
- EN: If you roll a die, what is the probability of rolling a 4?
- FR: Si tu lances un dé, quelle est la probabilité d'obtenir un 4?
- Choices: A) 1/6 B) 1/12 C) 1/3 D) 1/4
- Hint: Consider the total number of sides and desired outcomes.
- Steps:
- Step 1: Count the total outcomes.
- Step 2: Find favorable outcomes.
- Answer: 1/6
[Easy] Multi-digit Addition
- EN: What is 242 + 156?
- FR: Quel est 242 + 156?
- Choices: A) 398 B) 400 C) 392 D) 394
- Hint: Align the numbers and add.
- Steps:
- Step 1: Align and add the columns.
- Step 2: Carry if needed.
- Answer: 398
[Easy] Finding the Mode
- EN: In the set 2, 3, 3, 5, what is the mode?
- FR: Dans l'ensemble 2, 3, 3, 5, quel est le mode?
- Choices: A) 2 B) 3 C) 5 D) 4
- Hint: The number that appears most.
- Steps:
- Step 1: Count appearances.
- Step 2: Identify the highest count.
- Answer: 3
[Medium] Calculating Area
- EN: What is the area of a triangle with a base of 5 cm and a height of 6 cm?
- FR: Quelle est la superficie d'un triangle dont la base mesure 5 cm et la hauteur 6 cm?
- Choices: A) 15 B) 30 C) 25 D) 10
- Hint: Use the area formula: 1/2 × base × height.
- Steps:
- Step 1: Multiply base by height.
- Step 2: Divide by 2.
- Answer: 15
[Medium] Solving One-Step Equations
- EN: If x - 5 = 10, what is x?
- FR: Si x - 5 = 10, quelle est la valeur de x?
- Choices: A) 15 B) 5 C) 10 D) 20
- Hint: Add 5 to both sides.
- Steps:
- Step 1: Rearrange the equation.
- Step 2: Identify x.
- Answer: 15
[Medium] Integer Operations
- EN: What is 3 - (-2)?
- FR: Quel est 3 - (-2)?
- Choices: A) 1 B) 2 C) 5 D) -5
- Hint: Think of subtracting a negative as adding.
- Steps:
- Step 1: Convert to addition.
- Step 2: Solve.
- Answer: 5
[Medium] Finding Surface Area of a 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) 44 B) 24 C) 20 D) 32
- Hint: Use the formula: 2(lb + lh + wh).
- Steps:
- Step 1: Calculate each pair area.
- Step 2: Sum and multiply by 2.
- Answer: 44
[Hard] Simple Interest Calculation
- EN: If you invest $200 at an annual interest rate of 3% for 4 years, what is the total interest earned?
- FR: Si tu investis 200 $ à un taux d’intérêt annuel de 3 % pendant 4 ans, quel est le total des intérêts gagnés?
- Choices: A) 24 B) 20 C) 30 D) 36
- Hint: Use the interest formula I = PRT.
- Steps:
- Step 1: Calculate total using the formula.
- Step 2: Convert percentage to decimal.
- Answer: 24
[Hard] Solving Two-Step Equations
- EN: If 4x + 5 = 29, what is x?
- FR: Si 4x + 5 = 29, quelle est la valeur de x?
- Choices: A) 5 B) 6 C) 4 D) 7
- Hint: Subtract 5, then divide by 4.
- Steps:
- Step 1: Isolate variable using algebra.
- Step 2: Solve for x.
- Answer: 6
[Hard] Finding Slope
- EN: What is the slope of the line through the points (2,3) and (4,7)?
- FR: Quelle est la pente de la ligne passant par les points (2,3) et (4,7)?
- Choices: A) 2 B) 1.5 C) 4 D) 3
- Hint: Use the slope formula: (y2 - y1)/(x2 - x1).
- Steps:
- Step 1: Identify coordinates.
- Step 2: Apply the formula.
- Answer: 2
[Hard] Algebraic Expressions with Distributive Property
- EN: Simplify 3(2x + 4).
- FR: Simplifie 3(2x + 4).
- Choices: A) 6x + 8 B) 8x C) 10x D) 5x
- Hint: Distribute the 3.
- Steps:
- Step 1: Multiply 3 by each term.
- Step 2: Combine like terms if necessary.
- Answer: 6x + 12
[Hard] Probability of Multiple Events
- EN: If you flip a coin and roll a die, what is the probability of heads and a 3?
- FR: Si tu lances une pièce et un dé, quelle est la probabilité d'obtenir pile et un 3?
- Choices: A) 1/12 B) 1/6 C) 1/2 D) 1/3
- Hint: Multiply the probabilities of each event.
- Steps:
- Step 1: Find heads probability (1/2).
- Step 2: Find die probability (1/6).
- Answer: 1/12
[Hard] Finding the Median
- EN: What is the median of the set: 2, 5, 3, 8, 10?
- FR: Quelle est la médiane de l'ensemble : 2, 5, 3, 8, 10?
- Choices: A) 5 B) 3 C) 8 D) 4
- Hint: Order the numbers first.
- Steps:
- Step 1: Arrange from least to greatest.
- Step 2: Identify the middle value.
- Answer: 5
[Hard] Common Factors Problem
- EN: What common factors do 12 and 18 have?
- FR: Quels facteurs communs ont 12 et 18?
- Choices: A) 2, 3, 6 B) 1, 2, 4 C) 2, 3 D) 1, 2, 6
- Hint: Break down the numbers into factors.
- Steps:
- Step 1: List all factors.
- Step 2: Identify common ones.
- Answer: 1, 2, 3, 6
Grade 8 Problems
[Easy] Finding GCF
- EN: What is the greatest common factor (GCF) of 8 and 12?
- FR: Quel est le plus grand facteur commun (PGCD) de 8 et 12?
- Choices: A) 2 B) 3 C) 4 D) 6
- Hint: List out the factors.
- Steps:
- Step 1: Find factors for each number.
- Step 2: Identify the largest common factor.
- Answer: 4
[Easy] Identifying Perfect Squares
- EN: What is the square root of 49?
- FR: Quelle est la racine carrée de 49?
- Choices: A) 5 B) 6 C) 7 D) 8
- Hint: Think of numbers that multiply to 49.
- Steps:
- Step 1: Look for pairs.
- Step 2: Determine the root.
- Answer: 7
[Easy] Understanding Pythagorean Theorem
- EN: Which of these forms a right triangle: 3, 4, 5?
- FR: Lequel de ceux-ci forme un triangle rectangle : 3, 4, 5 ?
- Choices: A) Yes B) No C) Sometimes D) Not enough info
- Hint: Check if a² + b² = c².
- Steps:
- Step 1: Use the theorem.
- Step 2: Verify the lengths.
- Answer: Yes
[Easy] Evaluating Expressions
- EN: If 2a + 3 = 11, what is a?
- FR: Si 2a + 3 = 11, quelle est la valeur de a?
- Choices: A) 2 B) 4 C) 3 D) 1
- Hint: Solve for a.
- Steps:
- Step 1: Isolate 2a.
- Step 2: Divide by 2.
- Answer: 4
[Medium] Finding the Mean
- EN: What is the mean of 5, 3, 8, 10?
- FR: Quelle est la moyenne de 5, 3, 8, 10 ?
- Choices: A) 9 B) 6.5 C) 7.5 D) 8
- Hint: Average = Sum/Count.
- Steps:
- Step 1: Add numbers together.
- Step 2: Divide by total numbers.
- Answer: 6.5
[Medium] Evaluating Inequalities
- EN: If x < 10 and x > 5, what could x be?
- FR: Si x < 10 et x > 5, quelle pourrait être la valeur de x ?
- Choices: A) 8 B) 11 C) 5 D) 10
- Hint: Find numbers within the range.
- Steps:
- Step 1: Look at the restrictions.
- Step 2: Identify suitable values.
- Answer: 8
[Medium] Solving Two-Step Inequalities
- EN: Solve the inequality: 3x + 5 < 20.
- FR: Résous l'inégalité : 3x + 5 < 20.
- Choices: A) x < 5 B) x < 10 C) x > 15 D) x > 0
- Hint: Subtract 5, then divide by 3.
- Steps:
- Step 1: Isolate x term.
- Step 2: Solve.
- Answer: x < 5
[Medium] Algebraic Graphing
- EN: What is the y-intercept of the equation y = 2x + 3?
- FR: Quelle est l'ordonnée à l'origine de l'équation y = 2x + 3 ?
- Choices: A) 2 B) 3 C) 5 D) 4
- Hint: The constant term gives y-intercept.
- Steps:
- Step 1: Identify the y term.
- Step 2: Recognize its value.
- Answer: 3
[Hard] Solving Linear Equations
- EN: If 2x - 7 = 13, what is x?
- FR: Si 2x - 7 = 13, quelle est la valeur de x ?
- Choices: A) 10 B) 8 C) 11 D) 7
- Hint: Add 7, then divide by 2.
- Steps:
- Step 1: Isolate x.
- Step 2: Solve.
- Answer: 10
[Hard] Ratio Problems
- EN: If a recipe calls for 4 cups of flour to 2 cups of sugar, what is the ratio?
- FR: Si une recette nécessite 4 tasses de farine et 2 tasses de sucre, quel est le ratio ?
- Choices: A) 2:1 B) 1:2 C) 4:2 D) 1:1
- Hint: Reduce to lowest terms.
- Steps:
- Step 1: Write initial ratio.
- Step 2: Simplify.
- Answer: 2:1
[Hard] Surface Area of a Cylinder
- 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 3 cm de rayon et de 5 cm de hauteur ?
- Choices: A) 75π B) 36π C) 60π D) 54π
- Hint: Use the formula SA = 2πr(r + h).
- Steps:
- Step 1: Plug values into formula.
- Step 2: Calculate.
- Answer: 75π
[Hard] Mixed Number to Improper Fraction
- EN: Convert 3 2/3 to an improper fraction.
- FR: Convertis 3 2/3 en fraction impropre.
- Choices: A) 11/3 B) 10/3 C) 8/3 D) 9/3
- Hint: Multiply whole number by denominator and add the numerator.
- Steps:
- Step 1: Multiply.
- Step 2: Add the numerator.
- Answer: 11/3
[Hard] Determining Slope
- EN: What is the slope of the line that passes through the points (1,2) and (4,6)?
- FR: Quelle est la pente de la ligne qui passe par les points (1,2) et (4,6) ?
- Choices: A) 4/3 B) 2 C) 3/4 D) 3
- Hint: Use the formula (y2-y1)/(x2-x1).
- Steps:
- Step 1: Determine the differences.
- Step 2: Calculate.
- Answer: 4/3
[Hard] Graphing Inequalities
- EN: What would the graph look like for x > 3?
- FR: À quoi ressemblerait le graphique pour x > 3 ?
- Choices: A) Solid line at x=3 B) Dotted line at x=3 C) Both A and B D) None
- Hint: Think about include or exclude the endpoint.
- Steps:
- Step 1: Decide on endpoint treatment.
- Step 2: Visualize on the number line.
- Answer: Dotted line at x=3
[Hard] Analyzing Data Sets
- EN: In a data set of 2, 5, 8, 9, what is the range?
- FR: Dans un ensemble de données de 2, 5, 8, 9, quelle est l'étendue ?
- Choices: A) 7 B) 5 C) 6 D) 4
- Hint: Subtract the smallest from the largest.
- Steps:
- Step 1: Identify the max and min.
- Step 2: Subtract the two.
- Answer: 7
Grade 9 Problems
[Easy] Solving Simple Equations
- EN: If x + 4 = 10, what is x?
- FR: Si x + 4 = 10, quelle est la valeur de x ?
- Choices: A) 7 B) 6 C) 5 D) 4
- Hint: Subtract 4 from both sides.
- Steps:
- Step 1: Isolate variable x.
- Step 2: Solve for x.
- Answer: 6
[Easy] Identifying Like Terms
- EN: Which of these are like terms: 3x and 2x?
- FR: Lequel de ceux-ci est un terme similaire : 3x et 2x ?
- Choices: A) Yes B) No C) Sometimes D) Nothing
- Hint: Check if they have the same variable.
- Steps:
- Step 1: Analyze the terms.
- Step 2: Confirm if they match.
- Answer: Yes
[Easy] Evaluating Expressions
- EN: Evaluate 2x + 3 when x = 2.
- FR: Évalue 2x + 3 quand x = 2.
- Choices: A) 6 B) 8 C) 10 D) 5
- Hint: Substitute the value of x and calculate.
- Steps:
- Step 1: Replace x.
- Step 2: Perform operations.
- Answer: 7
[Easy] Finding the Mode
- EN: What is the mode of the set: 2, 3, 3, 5, 3?
- FR: Quel est le mode de l'ensemble: 2, 3, 3, 5, 3 ?
- Choices: A) 2 B) 3 C) 5 D) 4
- Hint: Look for the most frequent number.
- Steps:
- Step 1: Count each number’s occurrence.
- Step 2: Identify the highest count.
- Answer: 3
[Medium] Finding the Slope
- EN: What is the slope of the line passing through (2,4) and (5,10)?
- FR: Quelle est la pente de la ligne passant par (2,4) et (5,10) ?
- Choices: A) 2 B) 3 C) 4 D) 5
- Hint: Use slope formula (y2-y1)/(x2-x1).
- Steps:
- Step 1: Determine the differences.
- Step 2: Calculate slope.
- Answer: 2
[Medium] Solving Linear Inequalities
- EN: Solve the inequality: 2x + 5 > 15.
- FR: Résous l'inégalité : 2x + 5 > 15.
- Choices: A) x > 5 B) x < 5 C) x > 7 D) x < 7
- Hint: Subtract 5 and divide by 2.
- Steps:
- Step 1: Isolate x term.
- Step 2: Solve and determine the solution.
- Answer: x > 5
[Medium] Determining Mean and Median
- EN: Find the mean of 3, 7, 8, 9, 10.
- FR: Trouve la moyenne de 3, 7, 8, 9, 10.
- Choices: A) 8 B) 7 C) 6 D) 5
- Hint: Add and divide by total numbers.
- Steps:
- Step 1: Calculate sum.
- Step 2: Divide by total.
- Answer: 7.4
[Medium] Understanding Rates
- EN: If a car travels 120 km in 2 hours, what is the average speed?
- FR: Si une voiture parcourt 120 km en 2 heures, quelle est la vitesse moyenne ?
- Choices: A) 20 km/h B) 50 km/h C) 60 km/h D) 40 km/h
- Hint: Speed = Distance/Time.
- Steps:
- Step 1: Identify the values.
- Step 2: Calculate using the formula.
- Answer: 60 km/h
[Hard] Solving for x in Equations
- EN: If 3x - 7 = 2x + 5, what is x?
- FR: Si 3x - 7 = 2x + 5, quelle est la valeur de x ?
- Choices: A) 5 B) -5 C) 10 D) 6
- Hint: Combine like terms.
- Steps:
- Step 1: Get all x terms to one side.
- Step 2: Solve for x.
- Answer: 12
[Hard] Evaluating Piecewise Functions
- EN: Evaluate f(x) = { x + 2 if x < 0; 3x if x ≥ 0 }. Find f(-1).
- FR: Évalue f(x) = { x + 2 si x < 0; 3x si x ≥ 0 }. Trouve f(-1).
- Choices: A) 1 B) 2 C) 0 D) -1
- Hint: Determine which condition to use.
- Steps:
- Step 1: Substitute -1 into the function.
- Step 2: Simplify.
- Answer: 1
[Hard] Factoring Quadratics
- EN: Factor the quadratic: x² - 5x + 6.
- FR: Factorise le quadratique : x² - 5x + 6.
- Choices: A) (x-2)(x-3) B) (x+2)(x-3) C) (x+1)(x+6) D) (x-1)(x-6)
- Hint: Look for two numbers that multiply and add.
- Steps:
- Step 1: Find factors of 6.
- Step 2: Check sum against -5.
- Answer: (x-2)(x-3)
[Hard] Solving Quadratic Equations
- EN: Solve for x: x² - 4 = 0.
- FR: Résous pour x : x² - 4 = 0.
- Choices: A) 2, -2 B) 4, -4 C) 6, -6 D) 8, -8
- Hint: Factor or use square roots.
- Steps:
- Step 1: Isolate x² term.
- Step 2: Solve for x.
- Answer: 2, -2
[Hard] Solving Systems of Equations
- EN: Solve the system: 2x + 3y = 6 and x - y = 2.
- FR: Résous le système : 2x + 3y = 6 et x - y = 2.
- Choices: A) (0, 2) B) (1, 1) C) (3, 0) D) (0, 0)
- Hint: Use substitution or elimination.
- Steps:
- Step 1: Solve one equation for one variable.
- Step 2: Substitute.
- Answer: (0, 2)
[Hard] Analyzing Graphs
- EN: Given the graph of a function, determine if it is increasing or decreasing over an interval.
- FR: Étant donné le graphique d'une fonction, déterminez si elle est croissante ou décroissante sur un intervalle.
- Choices: A) Increasing B) Decreasing C) Constant D) All of the above
- Hint: Look for the trend in the y-values.
- Steps:
- Step 1: Observe y-value changes.
- Step 2: Identify trends.
- Answer: Increasing
[Hard] Probability Distributions
- EN: What is the probability of rolling an even number on a standard six-sided die?
- FR: Quelle est la probabilité de lancer un nombre pair sur un dé standard à six faces ?
- Choices: A) 1/3 B) 1/2 C) 1/6 D) 2/3
- Hint: Count the even numbers.
- Steps:
- Step 1: Identify the total numbers.
- Step 2: Count the even outcomes.
- Answer: 1/3
Grade 10 Problems
[Easy] Evaluating Quadratics
- EN: Find the value of f(x) = x² - 4 when x = 3.
- FR: Trouve la valeur de f(x) = x² - 4 quand x = 3.
- Choices: A) 5 B) 6 C) 7 D) 8
- Hint: Substitute and evaluate.
- Steps:
- Step 1: Replace x with 3.
- Step 2: Calculate the outcomes.
- Answer: 5
[Easy] Factoring Expressions
- EN: Factor x² + 5x + 6.
- FR: Factorise x² + 5x + 6.
- Choices: A) (x + 2)(x + 3) B) (x - 2)(x - 3) C) (x + 1)(x + 6) D) (x - 1)(x + 6)
- Hint: Find numbers that add and multiply.
- Steps:
- Step 1: Identify factor pairs.
- Step 2: Confirm by expanding.
- Answer: (x + 2)(x + 3)
[Easy] Solving Quadratic Equations
- EN: Solve for x: x² - 16 = 0.
- FR: Résous pour x : x² - 16 = 0.
- Choices: A) 4, -4 B) 6, -6 C) 8, -8 D) 10, -10
- Hint: Use the difference of squares.
- Steps:
- Step 1: Factor the expression.
- Step 2: Determine roots.
- Answer: 4, -4
[Medium] Graphing Quadratics
- EN: What is the vertex of the quadratic equation y = x² - 4x + 5?
- FR: Quel est le sommet de l'équation quadratique y = x² - 4x + 5 ?
- Choices: A) (2, 1) B) (4, -1) C) (3, 2) D) (0, 5)
- Hint: Use -b/2a for x value.
- Steps:
- Step 1: Calculate x-coordinate of the vertex.
- Step 2: Substitute to find y-coordinate.
- Answer: (2, 1)
[Medium] Finding Roots with Quadratic Formula
- EN: Solve x² + 5x + 6 = 0 using the quadratic formula.
- FR: Résous x² + 5x + 6 = 0 en utilisant la formule quadratique.
- Choices: A) -3, -2 B) -1, -6 C) -6, -1 D) -2, -3
- Hint: Use x = (-b ± √(b²-4ac))/(2a).
- Steps:
- Step 1: Identify a, b, c.
- Step 2: Solve using the formula.
- Answer: -3, -2
[Medium] Completing the Square
- EN: Complete the square for x² + 6x + 8.
- FR: Complète le carré pour x² + 6x + 8.
- Choices: A) (x + 3)² - 1 B) (x - 3)² + 1 C) (x - 4)² + 4 D) (x + 4)² - 4
- Hint: Use (b/2)² method.
- Steps:
- Step 1: Identify b and complete the square.
- Step 2: Write the expression in vertex form.
- Answer: (x + 3)² - 1
[Hard] Solving Quadratic Inequalities
- EN: Solve the quadratic inequality x² - 5x > 0.
- FR: Résous l'inégalité quadratique x² - 5x > 0.
- Choices: A) x < 0 or x > 5 B) x > 0 and x < 5 C) x < 0 and x > 5 D) x < 5
- Hint: Factor and test intervals.
- Steps:
- Step 1: Factor the inequality.
- Step 2: Test intervals around the roots.
- Answer: x < 0 or x > 5
[Hard] Solving Complex Quadratics
- EN: Solve 2x² - 8x = 0.
- FR: Résous 2x² - 8x = 0.
- Choices: A) 0, 4 B) 2, 6 C) 4, 0 D) -4, 4
- Hint: Factor out common terms.
- Steps:
- Step 1: Factor out 2x.
- Step 2: Solve for x.
- Answer: 0, 4
[Hard] Determining Discriminants
- EN: What is the discriminant of the equation 2x² - 4x + 2?
- FR: Quel est le discriminant de l'équation 2x² - 4x + 2 ?
- Choices: A) 0 B) 4 C) 16 D) 8
- Hint: Use b² - 4ac method.
- Steps:
- Step 1: Substitute values into the formula.
- Step 2: Calculate the result.
- Answer: 0
[Hard] Rotating Shapes
- EN: Rotate the point (3,4) 90° around the origin, where will it go?
- FR: Fais tourner le point (3,4) de 90° autour de l'origine, où ira-t-il ?
- Choices: A) (-4, 3) B) (4, -3) C) (-3, -4) D) (3, -4)
- Hint: Use rotation rules for coordinates.
- Steps:
- Step 1: Apply rotation rules.
- Step 2: Identify new coordinates.
- Answer: (-4, 3)
[Hard] Finding Maximum and Minimum
- EN: What is the maximum value of the function f(x) = -x
Today's Encouragement
Every problem you solve makes your brain stronger.
Test Yourself! 📝
Log in and select your grade — problems will appear above!