Daily Math — 2026-04-15
Grade 1 Problems
[Easy] Counting Candies
- EN: You have 5 candies, and your friend gives you 3 more. How many do you have?
- FR: Tu as 5 bonbons et ton ami t'en donne 3 de plus. Combien as-tu?
- Choices: A) 6 B) 8 C) 7 D) 5
- Hint: Add the candies together.
- Steps:
- step 1: Start with 5.
- step 2: Add 3 more.
- Answer: 8
[Easy] Penny Pile
- EN: You have 10 pennies. If you lose 2, how many are left?
- FR: Tu as 10 sous. Si tu en perds 2, combien en reste-t-il?
- Choices: A) 8 B) 9 C) 7 D) 6
- Hint: Subtract the lost pennies.
- Steps:
- step 1: Start with 10.
- step 2: Take away 2.
- Answer: 8
[Easy] Skip Counting by 5s
- EN: Count by 5s: 5, 10, __, 20. What is the missing number?
- FR: Compte par 5 : 5, 10, __, 20. Quel est le nombre manquant?
- Choices: A) 15 B) 12 C) 10 D) 18
- Hint: What comes after 10 when counting by 5s?
- Steps:
- step 1: Know the pattern.
- step 2: Find the next number.
- Answer: 15
[Easy] Coin Comparison
- EN: Which is more, one loonie or three dimes?
- FR: Qu'est-ce qui est plus, un dollar ou trois sous?
- Choices: A) A loonie B) Three dimes C) They are equal D) Two loonies
- Hint: Remember the value of coins.
- Steps:
- step 1: Know the value of a loonie.
- step 2: Calculate the value of three dimes.
- Answer: A) A loonie
[Medium] Total Candies
- EN: You have 12 candies, and your brother has 8. How many candies do you both have together?
- FR: Tu as 12 bonbons et ton frère en a 8. Combien avez-vous ensemble?
- Choices: A) 18 B) 20 C) 22 D) 21
- Hint: Add your candies and your brother's candies.
- Steps:
- step 1: Write down the total.
- step 2: Add them together.
- Answer: 20
[Medium] Days in a Week
- EN: If today is Monday, what day will it be in 4 days?
- FR: Si aujourd'hui est lundi, quel jour sera-t-il dans 4 jours?
- Choices: A) Friday B) Saturday C) Sunday D) Tuesday
- Hint: Count forward from Monday.
- Steps:
- step 1: Count the days.
- step 2: Find the day.
- Answer: Friday
[Medium] Apple Fractions
- EN: You cut an apple into 4 equal pieces. If you eat 1 piece, how much is left?
- FR: Tu as coupé une pomme en 4 morceaux égaux. Si tu manges 1 morceau, combien en reste-t-il?
- Choices: A) 2 B) 1 C) 3 D) 4
- Hint: How many pieces do you have left after eating one?
- Steps:
- step 1: Start with 4 pieces.
- step 2: Subtract 1.
- Answer: 3
[Medium] Toy Sales
- EN: A toy costs $15, but it is on sale for $10. How much money do you save?
- FR: Un jouet coûte 15 $, mais il est en vente pour 10 $. Combien économises-tu?
- Choices: A) 4 B) 5 C) 6 D) 3
- Hint: Subtract the sale price from the original price.
- Steps:
- step 1: Write down the original price.
- step 2: Find the difference.
- Answer: 5
[Hard] Snowfall Calculation
- EN: Last night, it snowed 15 cm. If it melts and snows another 7 cm, how much snow is there in total?
- FR: La nuit dernière, il est tombé 15 cm de neige. S'il fond et qu'il tombe encore 7 cm, quelle est la quantité totale de neige?
- Choices: A) 22 B) 21 C) 20 D) 19
- Hint: Add the two amounts of snow.
- Steps:
- step 1: Add the first snowfall.
- step 2: Add the new snowfall.
- Answer: 22
[Hard] Baking Cookies
- EN: If you bake 24 cookies and each cookie requires 1/4 cup of sugar, how many cups of sugar do you need?
- FR: Si tu fais cuire 24 biscuits et que chaque biscuit nécessite 1/4 tasse de sucre, combien de tasses de sucre as-tu besoin?
- Choices: A) 5 B) 6 C) 7 D) 4
- Hint: Multiply the number of cookies by the sugar needed per cookie.
- Steps:
- step 1: Write down how much sugar per cookie.
- step 2: Multiply by the number of cookies.
- Answer: 6
Grade 2 Problems
[Easy] Adding Nickels
- EN: You have 2 nickels and you find 3 more. How many nickels do you have?
- FR: Tu as 2 sous et tu en trouves 3 de plus. Combien as-tu de sous?
- Choices: A) 5 B) 6 C) 4 D) 7
- Hint: Add the nickels together.
- Steps:
- step 1: Start with 2.
- step 2: Add 3.
- Answer: 5
[Easy] Counting to 30
- EN: Count by 10s: 10, 20, __, 40. What is the missing number?
- FR: Compte par 10 : 10, 20, __, 40. Quel est le nombre manquant?
- Choices: A) 30 B) 35 C) 25 D) 20
- Hint: Think about the pattern.
- Steps:
- step 1: Understand counting by 10s.
- step 2: Fill in the blank.
- Answer: 30
[Easy] Time to Go Home
- EN: If it's 3:30 right now, what time will it be in half an hour?
- FR: S'il est 3h30 maintenant, quelle heure sera-t-il dans une demi-heure?
- Choices: A) 4:00 B) 3:00 C) 5:30 D) 4:30
- Hint: Add 30 minutes.
- Steps:
- step 1: Start at 3:30.
- step 2: Add 30 minutes.
- Answer: 4:00
[Easy] Finding Dimes
- EN: If you have 5 dimes, how much money do you have in total?
- FR: Si tu as 5 sous, combien d'argent as-tu en tout?
- Choices: A) $0.50 B) $0.75 C) $0.60 D) $0.40
- Hint: Multiply the number of dimes by the value of each.
- Steps:
- step 1: Know the value of a dime.
- step 2: Multiply.
- Answer: $0.50
[Medium] Buying Cookies
- EN: You want to buy 3 cookies. Each costs $2. How much will they cost in total?
- FR: Tu veux acheter 3 biscuits. Chacun coûte 2 $. Combien cela coûtera-t-il au total?
- Choices: A) $5 B) $6 C) $4 D) $7
- Hint: Multiply the cost by the number of cookies.
- Steps:
- step 1: Write $2 per cookie.
- step 2: Multiply by 3.
- Answer: $6
[Medium] Measuring Length
- EN: If your pencil is 8 cm long and your ruler is 15 cm long, what is their total length?
- FR: Si ton crayon mesure 8 cm et ta règle mesure 15 cm, quelle est leur longueur totale?
- Choices: A) 20 B) 23 C) 22 D) 25
- Hint: Add the lengths together.
- Steps:
- step 1: Write down the lengths.
- step 2: Add them.
- Answer: 23
[Medium] Comparing Coins
- EN: You have 7 toonies and 5 loonies. How much money do you have in total?
- FR: Tu as 7 billets de 2 $ et 5 billets de 1 $. Combien d'argent as-tu en tout?
- Choices: A) $17 B) $19 C) $15 D) $16
- Hint: Calculate the value of toonies and loonies.
- Steps:
- step 1: Calculate toonies' value.
- step 2: Calculate loonies' value.
- Answer: $19
[Medium] Candy Time
- EN: You have 30 candies and you share them equally with 5 friends. How many candies does each friend get?
- FR: Tu as 30 bonbons et tu les partages également avec 5 amis. Combien chaque ami reçoit-il de bonbons?
- Choices: A) 6 B) 5 C) 7 D) 8
- Hint: Divide the total candies.
- Steps:
- step 1: Know how many friends.
- step 2: Divide by 5.
- Answer: 6
[Hard] Total Time
- EN: If you read for 2 hours and then played for 1.5 hours, how much time did you spend in total?
- FR: Si tu as lu pendant 2 heures et joué pendant 1,5 heures, combien de temps as-tu passé au total?
- Choices: A) 3.5 B) 4 C) 3 D) 2.5
- Hint: Add the hours together.
- Steps:
- step 1: Write down the hours.
- step 2: Add.
- Answer: 3.5
[Hard] Jellybeans Calculation
- EN: You have 120 jellybeans, and you want to pack them into bags of 10. How many bags do you need?
- FR: Tu as 120 bonbons en gelée, et tu veux les mettre dans des sacs de 10. Combien de sacs as-tu besoin?
- Choices: A) 10 B) 12 C) 11 D) 9
- Hint: Divide the total jellybeans by 10.
- Steps:
- step 1: Write down the total candies.
- step 2: Calculate the number of bags needed.
- Answer: 12
Grade 3 Problems
[Easy] Adder Sum
- EN: What is 7 + 2?
- FR: Quel est 7 + 2?
- Choices: A) 10 B) 8 C) 9 D) 7
- Hint: It's a simple addition.
- Steps:
- step 1: Start with 7.
- step 2: Add 2.
- Answer: 9
[Easy] Counting Students
- EN: There are 15 students in a class. If 5 go home, how many students are left?
- FR: Il y a 15 élèves dans une classe. Si 5 rentrent chez eux, combien d'élèves restent-ils?
- Choices: A) 10 B) 13 C) 9 D) 11
- Hint: Subtract the students that go home.
- Steps:
- step 1: Start with 15 students.
- step 2: Take away 5.
- Answer: 10
[Easy] Hockey Goals
- EN: You played 3 hockey games and scored 2 goals in each. How many goals did you score in total?
- FR: Tu as joué 3 matchs de hockey et marqué 2 buts dans chacun. Combien de buts as-tu marqué en tout?
- Choices: A) 6 B) 4 C) 5 D) 7
- Hint: Multiply the number of games by goals per game.
- Steps:
- step 1: Know the number of games.
- step 2: Multiply by 2.
- Answer: 6
[Easy] Fruit Fractions
- EN: You have a pie. If you eat 1/4 of it, how much is left?
- FR: Tu as une tarte. Si tu manges 1/4, combien en reste-t-il?
- Choices: A) 3/4 B) 2/4 C) 1/4 D) 4/4
- Hint: Subtract 1/4 from the whole pie.
- Steps:
- step 1: Understand the total pie as 4/4.
- step 2: Subtract 1/4.
- Answer: 3/4
[Medium] Pizza Slices
- EN: A pizza is cut into 8 slices. If you eat 3, how many slices are left?
- FR: Une pizza est coupée en 8 parts. Si tu en manges 3, combien de parts restent-elles?
- Choices: A) 4 B) 5 C) 3 D) 6
- Hint: Use subtraction to find out.
- Steps:
- step 1: Start with 8 slices.
- step 2: Subtract the eaten slices.
- Answer: 5
[Medium] Fraction Addition
- EN: What is 1/4 + 1/4?
- FR: Quel est 1/4 + 1/4?
- Choices: A) 1/2 B) 1/3 C) 1/4 D) 1
- Hint: Think about how many quarters make a half.
- Steps:
- step 1: Add the fractions.
- step 2: Simplify if needed.
- Answer: 1/2
[Medium] Total Apples
- EN: You have 6 apples and your friend gives you 4 more. How many apples do you have now?
- FR: Tu as 6 pommes et ton ami t'en donne 4 de plus. Combien de pommes as-tu maintenant?
- Choices: A) 8 B) 10 C) 12 D) 9
- Hint: Combine the apples you both have.
- Steps:
- step 1: Start with 6.
- step 2: Add 4.
- Answer: 10
[Medium] Garden Area
- EN: If your garden is 5 meters long and 3 meters wide, what is its area?
- FR: Si ton jardin mesure 5 mètres de long et 3 mètres de large, quelle est sa superficie?
- Choices: A) 15 B) 18 C) 20 D) 12
- Hint: Use length × width for area.
- Steps:
- step 1: Write down the dimensions.
- step 2: Multiply.
- Answer: 15
[Hard] Hockey Points Calculation
- EN: If a player scores 4 goals and provides 3 assists, how many points does he have?
- FR: Si un joueur marque 4 buts et fait 3 passes, combien de points a-t-il?
- Choices: A) 6 B) 7 C) 8 D) 9
- Hint: Add goals and assists.
- Steps:
- step 1: Count the goals.
- step 2: Count the assists.
- Answer: 7
[Hard] Simple Graph
- EN: A graph shows 4 kids having 3 toys each. How many toys are there in total?
- FR: Un graphique montre 4 enfants ayant 3 jouets chacun. Combien y a-t-il de jouets en tout?
- Choices: A) 11 B) 12 C) 10 D) 9
- Hint: Choose the total using multiplication.
- Steps:
- step 1: Multiply the number of kids by toys.
- step 2: Calculate.
- Answer: 12
Grade 4 Problems
[Easy] Simple Addition
- EN: What is 15 + 7?
- FR: Quel est 15 + 7?
- Choices: A) 21 B) 22 C) 20 D) 23
- Hint: Just add the numbers.
- Steps:
- step 1: Start with 15.
- step 2: Add 7.
- Answer: 22
[Easy] Counting Coins
- EN: If you have 4 quarters, how much money do you have?
- FR: Si tu as 4 pièces de 0,25 $, combien d'argent as-tu?
- Choices: A) $1.00 B) $0.75 C) $0.50 D) $0.25
- Hint: Find the total value of quarters.
- Steps:
- step 1: Know the value of a quarter.
- step 2: Multiply by 4.
- Answer: $1.00
[Easy] Lunch Packs
- EN: If you are sharing 12 sandwiches with 4 friends, how many does each person get?
- FR: Si tu partages 12 sandwiches avec 4 amis, combien chacun reçoit-il?
- Choices: A) 3 B) 4 C) 2 D) 6
- Hint: Use division to share equally.
- Steps:
- step 1: Total sandwiches is 12.
- step 2: Divide by number of people.
- Answer: 3
[Easy] Time on the Clock
- EN: If the clock shows 2:00 PM and you wait for 2 hours, what time will it be?
- FR: Si l'horloge montre 14h00 et que tu attends 2 heures, quelle heure sera-t-il?
- Choices: A) 3:00 PM B) 4:00 PM C) 2:00 PM D) 5:00 PM
- Hint: Add 2 hours to 2 PM.
- Steps:
- step 1: Start at 2 PM.
- step 2: Add 2 hours.
- Answer: 4:00 PM
[Medium] Area of Rectangle
- EN: What is the area of a rectangle with a length of 6 cm and a width of 4 cm?
- FR: Quelle est la superficie d'un rectangle de 6 cm de long et de 4 cm de large?
- Choices: A) 24 B) 30 C) 20 D) 22
- Hint: Use length × width.
- Steps:
- step 1: Write down the dimensions.
- step 2: Calculate area.
- Answer: 24
[Medium] Measuring Time
- EN: If it takes you 3 hours to complete your homework and you start at 1 PM, what time will you finish?
- FR: Si cela prend 3 heures pour terminer tes devoirs et que tu commences à 13h00, à quelle heure finiras-tu?
- Choices: A) 4 PM B) 5 PM C) 3 PM D) 6 PM
- Hint: Add 3 hours to your start time.
- Steps:
- step 1: Start at 1 PM.
- step 2: Add 3 hours.
- Answer: 4 PM
[Medium] Fraction Comparison
- EN: Which fraction is larger, 2/3 or 3/4?
- FR: Quelle fraction est plus grande, 2/3 ou 3/4?
- Choices: A) 2/3 B) 3/4 C) They are equal D) None
- Hint: Think about the size of each part.
- Steps:
- step 1: Find a common denominator.
- step 2: Compare the fractions.
- Answer: 3/4
[Medium] Buying Snacks
- EN: You buy 3 bags of chips for $2 each and 1 drink for $1. How much do you spend?
- FR: Tu achètes 3 sacs de chips à 2 $ chacun et 1 boisson pour 1 $. Combien dépenses-tu?
- Choices: A) $6 B) $7 C) $5 D) $8
- Hint: Calculate the total cost.
- Steps:
- step 1: Calculate cost of bags.
- step 2: Add cost of drink.
- Answer: $7
[Hard] Remainders in Division
- EN: What is 58 ÷ 6? What is the remainder?
- FR: Quel est 58 ÷ 6? Quelle est la reste?
- Choices: A) 9 B) 8 C) 7 D) 6
- Hint: Perform long division and watch for remainders.
- Steps:
- step 1: Divide 58 by 6.
- step 2: Find the remainder.
- Answer: 4
[Hard] Total Clouds
- EN: If there are 40 clouds and 12 disappear, how many clouds are left?
- FR: S'il y a 40 nuages et que 12 disparaissent, combien de nuages restent-ils?
- Choices: A) 27 B) 30 C) 25 D) 28
- Hint: Subtract missing clouds from total.
- Steps:
- step 1: Write down total clouds.
- step 2: Subtract 12.
- Answer: 28
Grade 5 Problems
[Easy] Adding Numbers
- EN: What is 34 + 25?
- FR: Quel est 34 + 25?
- Choices: A) 58 B) 59 C) 60 D) 61
- Hint: Simply add both numbers together.
- Steps:
- step 1: Line up numbers.
- step 2: Add from right to left.
- Answer: 59
[Easy] Subtracting Money
- EN: You have $50 and spend $15 on a toy. How much do you have left?
- FR: Tu as 50 $ et tu dépenses 15 $ pour un jouet. Combien te reste-t-il?
- Choices: A) $35 B) $25 C) $30 D) $40
- Hint: Subtract the cost from the total.
- Steps:
- step 1: Write the total.
- step 2: Subtract 15.
- Answer: $35
[Easy] Counting Coins
- EN: You find 5 loonies and 3 toonies. How much money do you have?
- FR: Tu trouves 5 pièces de 1 $ et 3 pièces de 2 $. Combien as-tu d'argent?
- Choices: A) $11 B) $10 C) $12 D) $9
- Hint: Multiply the values of the coins.
- Steps:
- step 1: Calculate loonie total.
- step 2: Calculate toonie total.
- Answer: $11
[Easy] Circle and Square
- EN: A circle has a radius of 3 cm. What is its diameter?
- FR: Un cercle a un rayon de 3 cm. Quelle est son diamètre?
- Choices: A) 5 cm B) 6 cm C) 7 cm D) 4 cm
- Hint: The diameter is twice the radius.
- Steps:
- step 1: Double the radius.
- step 2: Find the answer.
- Answer: 6 cm
[Medium] Buying Pencils
- EN: If a pack of pencils costs $4 and you buy 3 packs, how much do you spend?
- FR: Si un paquet de crayons coûte 4 $ et que tu achètes 3 paquets, combien dépenses-tu?
- Choices: A) $12 B) $10 C) $14 D) $11
- Hint: Multiply the cost by the number of packs.
- Steps:
- step 1: Know the price per pack.
- step 2: Multiply by 3.
- Answer: $12
[Medium] Garden Area
- EN: If your garden is 7 meters long and 5 meters wide, what is its area?
- FR: Si ton jardin mesure 7 mètres de long et 5 mètres de large, quelle est sa superficie?
- Choices: A) 30 B) 35 C) 20 D) 25
- Hint: Use length × width to find area.
- Steps:
- step 1: Write down the dimensions.
- step 2: Multiply to get area.
- Answer: 35
[Medium] Dividing Fruits
- EN: You pick 24 apples. You want to divide them equally among 6 friends. How many does each friend get?
- FR: Tu ramasses 24 pommes. Tu veux les diviser également entre 6 amis. Combien chaque ami reçoit-il?
- Choices: A) 4 B) 3 C) 5 D) 6
- Hint: Divide total apples by number of friends.
- Steps:
- step 1: Start with 24.
- step 2: Divide by 6.
- Answer: 4
[Medium] Pizza Problem
- EN: A pizza is cut into 10 slices. If 3 are gone, how many slices are left?
- FR: Une pizza est coupée en 10 parts. Si 3 sont parties, combien de parts reste-t-il?
- Choices: A) 5 B) 6 C) 7 D) 8
- Hint: Subtract eaten slices from total slices.
- Steps:
- step 1: Start with 10 slices.
- step 2: Take away 3.
- Answer: 7
[Hard] Multiplying Money
- EN: If you earn $10 an hour and work for 8 hours, how much do you earn?
- FR: Si tu gagnes 10 $ de l'heure et que tu travailles 8 heures, combien gagnes-tu?
- Choices: A) $70 B) $80 C) $90 D) $100
- Hint: Multiply hourly rate by hours worked.
- Steps:
- step 1: Write down your rate.
- step 2: Multiply by 8.
- Answer: $80
[Hard] Total Distance
- EN: If you walk 3.5 km each day for 5 days, how far do you walk in total?
- FR: Si tu marches 3,5 km chaque jour pendant 5 jours, quelle distance parcours-tu en tout?
- Choices: A) 15 B) 17.5 C) 18 D) 14
- Hint: Multiply the distance by the days.
- Steps:
- step 1: Write down the distance.
- step 2: Multiply by 5.
- Answer: 17.5
Grade 6 Problems
[Easy] Simple Division
- EN: What is 36 ÷ 6?
- FR: Quel est 36 ÷ 6?
- Choices: A) 5 B) 6 C) 7 D) 8
- Hint: Divide the number.
- Steps:
- step 1: Write down 36.
- step 2: Divide by 6.
- Answer: 6
[Easy] Adding Integers
- EN: What is -4 + 5?
- FR: Quel est -4 + 5?
- Choices: A) 0 B) 1 C) -1 D) 2
- Hint: Think about positive and negative numbers.
- Steps:
- step 1: Start with -4.
- step 2: Add 5.
- Answer: 1
[Easy] Ratio of Pencils
- EN: If you have 8 pencils and 4 are red, what is the ratio of red pencils to total pencils?
- FR: Si tu as 8 crayons et que 4 sont rouges, quel est le rapport de crayons rouges aux crayons totaux?
- Choices: A) 1:2 B) 1:3 C) 2:1 D) 3:2
- Hint: Identify the part to whole relationship.
- Steps:
- step 1: Count total pencils.
- step 2: Build the ratio.
- Answer: 1:2
[Easy] Fraction Addition
- EN: What is 1/2 + 1/4?
- FR: Quel est 1/2 + 1/4?
- Choices: A) 3/4 B) 1/3 C) 1/2 D) 2/4
- Hint: Find a common denominator.
- Steps:
- step 1: Identify a common denominator.
- step 2: Add the fractions.
- Answer: 3/4
[Medium] Multiplying and Dividing
- EN: If you multiply 5/6 by 2/3, what do you get?
- FR: Si tu multiplies 5/6 par 2/3, que reçois-tu?
- Choices: A) 1/2 B) 1/3 C) 5/9 D) 7/18
- Hint: Multiply the numerators and denominators.
- Steps:
- step 1: Multiply 5 × 2.
- step 2: Multiply 6 × 3.
- Answer: 5/9
[Medium] Percent of a Number
- EN: What is 20% of 50?
- FR: Quel est 20% de 50?
- Choices: A) 5 B) 10 C) 15 D) 20
- Hint: Convert percent to a fraction.
- Steps:
- step 1: Write 20% as 20/100.
- step 2: Multiply by 50.
- Answer: 10
[Medium] Estimating Sums
- EN: Estimate the sum of 399 + 649.
- FR: Estime la somme de 399 + 649.
- Choices: A) 1000 B) 1100 C) 900 D) 800
- Hint: Round each number for easier calculation.
- Steps:
- step 1: Round 399 to 400.
- step 2: Round 649 to 600.
- Answer: 1000
[Medium] Simple Algebra
- EN: If x + 5 = 12, what is x?
- FR: Si x + 5 = 12, quelle est x?
- Choices: A) 5 B) 6 C) 7 D) 8
- Hint: Isolate x.
- Steps:
- step 1: Subtract 5 from both sides.
- step 2: Find the value of x.
- Answer: 7
[Hard] Simple Inequality
- EN: Solve the inequality 3x + 7 < 16. What is x?
- FR: Résous l'inégalité 3x + 7 < 16. Quel est x?
- Choices: A) 5 B) 6 C) 4 D) 3
- Hint: Isolate x in the inequality.
- Steps:
- step 1: Subtract 7 from both sides.
- step 2: Divide by 3.
- Answer: 3
[Hard] Ratio Problem
- EN: In a class, the ratio of boys to girls is 3:2. If there are 15 boys, how many girls are there?
- FR: Dans une classe, le rapport de garçons à filles est de 3:2. S'il y a 15 garçons, combien y a-t-il de filles?
- Choices: A) 10 B) 8 C) 12 D) 14
- Hint: Use the ratio to calculate.
- Steps:
- step 1: Set up the ratio equation.
- step 2: Solve for the number of girls.
- Answer: 10
[Hard] Statistical Average
- EN: The ages of four friends are 15, 18, 17, and 16. What is their average age?
- FR: Les âges de quatre amis sont 15, 18, 17 et 16. Quel est leur âge moyen?
- Choices: A) 16 B) 17 C) 15 D) 18
- Hint: Add the ages and divide by the number of friends.
- Steps:
- step 1: Sum the ages.
- step 2: Divide by 4.
- Answer: 16
[Hard] Completing the Grid
- EN: A square grid has side lengths of 5 cm. What is its area?
- FR: Une grille carrée a des longueurs de côté de 5 cm. Quelle est sa superficie?
- Choices: A) 25 B) 20 C) 30 D) 15
- Hint: Use the formula for area.
- Steps:
- step 1: Square the side length.
- step 2: Calculate the area.
- Answer: 25
Grade 7 Problems
[Easy] Adding Integers
- EN: What is -3 + 4?
- FR: Quel est -3 + 4?
- Choices: A) 1 B) -7 C) 0 D) -4
- Hint: Understand negatives and positives.
- Steps:
- step 1: Start with -3.
- step 2: Add 4.
- Answer: 1
[Easy] Simple Ratio
- EN: If you have 2 apples and 3 oranges, what is the ratio of apples to oranges?
- FR: Si tu as 2 pommes et 3 oranges, quel est le rapport des pommes aux oranges?
- Choices: A) 3:2 B) 2:3 C) 4:5 D) 1:2
- Hint: Compare the quantities.
- Steps:
- step 1: Write down apples and oranges.
- step 2: Build the ratio.
- Answer: 2:3
[Easy] Simple Division
- EN: What is 20 ÷ 4?
- FR: Quel est 20 ÷ 4?
- Choices: A) 4 B) 5 C) 6 D) 7
- Hint: It’s straightforward division.
- Steps:
- step 1: Divide 20 by 4.
- step 2: Find the answer.
- Answer: 5
[Easy] Simple Percentage
- EN: What is 50% of 100?
- FR: Quel est 50% de 100?
- Choices: A) 25 B) 50 C) 75 D) 100
- Hint: Think of half.
- Steps:
- step 1: Understand the percentage.
- step 2: Find half of 100.
- Answer: 50
[Medium] Addition of Integers
- EN: Calculate: -5 + -8.
- FR: Calculez: -5 + -8.
- Choices: A) -13 B) -12 C) -10 D) -15
- Hint: Adding two negatives gives a bigger negative.
- Steps:
- step 1: Add the absolute values.
- step 2: Keep the negative sign.
- Answer: -13
[Medium] Finding Averages
- EN: What is the average of 8, 10, and 12?
- FR: Quel est la moyenne de 8, 10 et 12?
- Choices: A) 10 B) 11 C) 12 D) 9
- Hint: Add the numbers and divide by how many there are.
- Steps:
- step 1: Sum the numbers.
- step 2: Divide by 3.
- Answer: 10
[Medium] Solve for x
- EN: Solve the equation: 5x = 20. What is x?
- FR: Résous l'équation : 5x = 20. Quelle est x?
- Choices: A) 4 B) 5 C) 6 D) 3
- Hint: Divide both sides by 5.
- Steps:
- step 1: Write 5x = 20.
- step 2: Divide by 5.
- Answer: 4
[Medium] Surface Area
- EN: What is the surface area of a box with a length of 2 cm, width of 3 cm, and height of 4 cm?
- FR: Quelle est la superficie d'une boîte avec une longueur de 2 cm, une largeur de 3 cm et une hauteur de 4 cm?
- Choices: A) 24 B) 12 C) 18 D) 20
- Hint: Use the formula for surface area of a rectangular box.
- Steps:
- step 1: Calculate area of each face.
- step 2: Add up all the areas.
- Answer: 24
[Hard] Solving Inequalities
- EN: Solve for x in the inequality: 3x + 9 > 18.
- FR: Résous pour x dans l'inégalité : 3x + 9 > 18.
- Choices: A) 7 B) 8 C) 9 D) 10
- Hint: Isolate x on one side.
- Steps:
- step 1: Subtract 9 from both sides.
- step 2: Divide by 3.
- Answer: 3
[Hard] Probability Problem
- EN: If you roll a standard die, what is the probability of rolling a 4?
- FR: Si tu lances un dé standard, quelle est la probabilité de lancer un 4?
- Choices: A) 1/6 B) 1/5 C) 1/4 D) 1/3
- Hint: Think about the total outcomes.
- Steps:
- step 1: Identify favorable outcomes.
- step 2: Identify total outcomes.
- Answer: 1/6
[Hard] Advanced Ratio
- EN: In a recipe, the ratio of sugar to flour is 1:4. If you use 2 cups of sugar, how much flour do you need?
- FR: Dans une recette, le rapport de sucre à farine est de 1:4. Si tu utilises 2 tasses de sucre, combien de farine as-tu besoin?
- Choices: A) 6 B) 8 C) 4 D) 10
- Hint: Use proportions to find flour.
- Steps:
- step 1: Set up the proportion.
- step 2: Solve for flour.
- Answer: 8
[Hard] Graphing Linear Equations
- EN: If y = 2x + 3, what is y when x = 4?
- FR: Si y = 2x + 3, quelle est y quand x = 4?
- Choices: A) 10 B) 8 C) 6 D) 15
- Hint: Replace x with 4 in the equation.
- Steps:
- step 1: Substitute x.
- step 2: Solve for y.
- Answer: 11
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[Easy] Factoring
- EN: What is the factor of 15?
- FR: Quel est le facteur de 15?
- Choices: A) 4 B) 5 C) 2 D) 3
- Hint: Look for numbers that divide evenly into 15.
- Steps:
- step 1: List possible factors.
- step 2: Identify correct factors.
- Answer: 5
[Easy] Adding Rational Numbers
- EN: What is 1/4 + 1/4?
- FR: Quel est 1/4 + 1/4?
- Choices: A) 1/2 B) 3/4 C) 1/3 D) 2/4
- Hint: Add the numerators.
- Steps:
- step 1: Keep the same denominator.
- step 2: Add numerators.
- Answer: 1/2
[Easy] Decimal Subtraction
- EN: What is 5.5 - 2.2?
- FR: Quel est 5.5 - 2.2?
- Choices: A) 3.3 B) 2.5 C) 1.5 D) 3.5
- Hint: Subtract the decimals.
- Steps:
- step 1: Align the decimal points.
- step 2: Subtract.
- Answer: 3.3
[Easy] Finding the Mean
- EN: What is the mean of 2, 4, and 6?
- FR: Quel est la moyenne de 2, 4 et 6?
- Choices: A) 2 B) 3 C) 4 D) 5
- Hint: Add the numbers and divide by how many there are.
- Steps:
- step 1: Find the sum: 2 + 4 + 6 = 12.
- step 2: Divide by 3.
- Answer: 4
[Medium] Algebra with Variables
- EN: If 3x + 2 = 11, what is x?
- FR: Si 3x + 2 = 11, quelle est x?
- Choices: A) 3 B) 2 C) 4 D) 5
- Hint: Isolate x.
- Steps:
- step 1: Subtract 2 from both sides.
- step 2: Divide by 3.
- Answer: 3
[Medium] Solving Inequalities
- EN: Solve for x in the inequality: 4x - 5 < 11.
- FR: Résous pour x dans l'inégalité : 4x - 5 < 11.
- Choices: A) 5 B) 3 C) 4 D) 2
- Hint: Add 5 to both sides.
- Steps:
- step 1: Move the constant.
- step 2: Divide by 4.
- Answer: 4
[Medium] Equations of Lines
- EN: What is the slope of the line passing through points (2, 4) and (4, 8)?
- FR: Quelle est la cote de la ligne passant par les points (2, 4) et (4, 8)?
- Choices: A) 2 B) 1 C) 3 D) 5
- Hint: Use the slope formula.
- Steps:
- step 1: Find the change in y and x.
- step 2: Divide change in y by change in x.
- Answer: 2
[Medium] Area of Triangles
- EN: What is the area of a triangle with a base of 10 cm and height of 5 cm?
- FR: Quelle est la superficie d'un triangle ayant une base de 10 cm et une hauteur de 5 cm?
- Choices: A) 25 B) 30 C) 15 D) 10
- Hint: Use the formula: Area = 1/2 x base x height.
- Steps:
- step 1: Calculate base times height.
- step 2: Divide by 2.
- Answer: 25
[Hard] Plotting Points
- EN: If (3, 5) is a point on a coordinate plane, what are its x and y coordinates?
- FR: Si (3, 5) est un point sur un plan coordonné, quels sont les x et y coordonnées?
- Choices: A) x=3, y=5 B) x=5, y=3 C) x=3, y=4 D) x=4, y=5
- Hint: Identify coordinates.
- Steps:
- step 1: Read the first value for x.
- step 2: Read the second value for y.
- Answer: A) x=3, y=5
[Hard] Simple Complex Numbers
- EN: If z = 3 + 4i, what is the magnitude of z?
- FR: Si z = 3 + 4i, quelle est la magnitude de z?
- Choices: A) 5 B) 6 C) 4 D) 7
- Hint: Use the formula: magnitude = √(a²+b²).
- Steps:
- step 1: Square 3 and 4.
- step 2: Add the squares and take the square root.
- Answer: A) 5
[Hard] Factoring Expressions
- EN: Factor the expression: x² - 9.
- FR: Factorise l'expression : x² - 9.
- Choices: A) (x-3)(x+3) B) (x-2)(x+2) C) (x-1)(x+1) D) (x-4)(x+4)
- Hint: Identify the difference of squares.
- Steps:
- step 1: Recognize it as a difference of squares.
- step 2: Factor accordingly.
- Answer: A) (x-3)(x+3)
[Hard] Using Coordinates
- EN: What is the midpoint between points (2, 4) and (6, 8)?
- FR: Quel est le point médian entre les points (2, 4) et (6, 8)?
- Choices: A) (4, 6) B) (3, 5) C) (5, 4) D) (6, 7)
- Hint: Average the x's and y's.
- Steps:
- step 1: Find the averages for x and y.
- step 2: Write as a coordinate.
- Answer: A) (4, 6)
Grade 9 Problems
[Easy] Solving Linear Equations
- EN: If 2x + 3 = 11, what is x?
- FR: Si 2x + 3 = 11, quelle est x?
- Choices: A) 3 B) 4 C) 5 D) 6
- Hint: Isolate x.
- Steps:
- step 1: Subtract 3 from both sides.
- step 2: Divide by 2.
- Answer: 4
[Easy] Evaluating Expressions
- EN: What is the value of 5y when y = 2?
- FR: Quelle est la valeur de 5y quand y = 2?
- Choices: A) 10 B) 9 C) 5 D) 6
- Hint: Substitute y into the expression.
- Steps:
- step 1: Replace y with 2.
- step 2: Multiply.
- Answer: 10
[Easy] Distance Calculation
- EN: Sam walks 3 km east and then 4 km north. What is the total distance he traveled?
- FR: Sam marche 3 km à l'est et ensuite 4 km au nord. Quelle est la distance totale qu'il a parcourue?
- Choices: A) 5 B) 6 C) 7 D) 8
- Hint: Add the distances.
- Steps:
- step 1: Identify directions.
- step 2: Find total distance.
- Answer: 7
[Easy] Finding Slope
- EN: What is the slope of the line through points (1, 2) and (3, 6)?
- FR: Quelle est la pente de la ligne passant par les points (1, 2) et (3, 6)?
- Choices: A) 2 B) 1 C) 3 D) 4
- Hint: Use the slope formula: (y2-y1)/(x2-x1).
- Steps:
- step 1: Find the difference in y-values.
- step 2: Find the difference in x-values.
- Answer: 2
[Medium] Solving Inequalities
- EN: Solve for x: 5x - 4 < 16.
- FR: Résous pour x: 5x - 4 < 16.
- Choices: A) 3 B) 4 C) 5 D) 6
- Hint: Add 4 to both sides.
- Steps:
- step 1: Rearrange the inequality.
- step 2: Solve for x.
- Answer: 4
[Medium] Analyzing Graphs
- EN: What is the y-intercept of the line represented by the equation y = 3x + 2?
- FR: Quel est l'ordonnée à l'origine de la ligne représentée par l'équation y = 3x + 2?
- Choices: A) 2 B) 3 C) 0 D) 1
- Hint: Look at the constant term.
- Steps:
- step 1: Identify the equation.
- step 2: Read the y-intercept directly.
- Answer: 2
[Medium] Finding Roots
- 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, 6 B) 2, 3 C) 3, 4 D) -1, -6
- Hint: Factor the quadratic.
- Steps:
- step 1: Identify factors of 6.
- step 2: Solve for x.
- Answer: 2, 3
[Medium] Evaluating Quadratics
- EN: Find the value of f(2) if f(x) = x² + 3x + 1.
- FR: Trouve la valeur de f(2) si f(x) = x² + 3x + 1.
- Choices: A) 11 B) 9 C) 12 D) 10
- Hint: Substitute 2 in the function.
- Steps:
- step 1: Replace x with 2.
- step 2: Calculate.
- Answer: 11
[Hard] Solving Polynomial Equations
- EN: What is the root of the polynomial x³ - 6x² + 11x - 6?
- FR: Quelle est la racine du polynôme x³ - 6x² + 11x - 6?
- Choices: A) 1 B) 2 C) 3 D) 4
- Hint: Look for factors of the constant term.
- Steps:
- step 1: Test possible rational roots.
- step 2: Find the root.
- Answer: 1
[Hard] Calculating Volume
- EN: What is the volume of a cylinder with a radius of 3 cm and height of 4 cm?
- FR: Quelle est le volume d'un cylindre ayant un rayon de 3 cm et une hauteur de 4 cm?
- Choices: A) 36π B) 12π C) 24π D) 18π
- Hint: Use the formula for volume of a cylinder: V = πr²h.
- Steps:
- step 1: Find the area of the base.
- step 2: Multiply by height.
- Answer: 36π
[Hard] Solving Systems of Equations
- EN: Solve the system: 2x + 3y = 6 and x - y = 2. Find y.
- FR: Résous le système : 2x + 3y = 6 et x - y = 2. Trouve y.
- Choices: A) 0 B) 1 C) 2 D) 3
- Hint: Use substitution or elimination.
- Steps:
- step 1: Solve one equation for x.
- step 2: Substitute in the other equation.
- Answer: 2
[Hard] Finding Extremes
- EN: What is the maximum value of the function f(x) = -2x² + 4x + 5?
- FR: Quelle est la valeur maximale de la fonction f(x) = -2x² + 4x + 5?
- Choices: A) 10 B) 8 C) 9 D) 11
- Hint: Use vertex formula or complete the square.
- Steps:
- step 1: Find vertex x-coordinate.
- step 2: Calculate the value at the vertex.
- Answer: 9
Grade 10 Problems
[Easy] Basic Factoring
- EN: What is the factored form of x² - 4?
- FR: Quelle est la forme factorisée de x² - 4?
- Choices: A) (x - 2)(x + 2) B) (x + 4)(x - 4) C) (x + 2)(x + 2) D) (x - 4)(x + 4)
- Hint: Recognize it as a difference of squares.
- Steps:
- step 1: Identify the expression.
- step 2: Factor.
- Answer: A) (x - 2)(x + 2)
[Easy] Solving Quadratics
- EN: What are the solutions of x² - 9 = 0?
- FR: Quelles sont les solutions de x² - 9 = 0?
- Choices: A) 3, -3 B) 2, -2 C) 1, -1 D) 0, 9
- Hint: Factor the equation.
- Steps:
- step 1: Factor the expression.
- step 2: Solve for x.
- Answer: A) 3, -3
[Easy] Using Quadratic Formula
- EN: What are the roots of x² + 6x + 9 = 0 using the quadratic formula?
- FR: Quelles sont les racines de x² + 6x + 9 = 0 en utilisant la formule quadratique?
- Choices: A) -3 B) 3 C) 9 D) 6
- Hint: Remember the quadratic formula.
- Steps:
- step 1: Identify a, b, c in the equation.
- step 2: Use the formula.
- Answer: A) -3
[Easy] Evaluating Functions
- EN: What is f(3) if f(x) = 2x² + 3x + 1?
- FR: Quelle est f(3) si f(x) = 2x² + 3x + 1?
- Choices: A) 32 B) 30 C) 28 D) 34
- Hint: Substitute x = 3 into the function.
- Steps:
- step 1: Replace x with 3.
- step 2: Compute the result.
- Answer: 34
[Medium] Finding the Axis of Symmetry
- EN: For the parabola y = x² - 8x + 15, what is the equation of the axis of symmetry?
- FR: Pour la parabole y = x² - 8x + 15, quelle est l'équation de l'axe de symétrie?
- Choices: A) x = 2 B) x = 4 C) x = 8 D) x = 1
- Hint: Use the vertex form to find it.
- Steps:
- step 1: Find -b/2a.
- step 2: Write the equation.
- Answer: x = 4
[Medium] Area under the Curve
- EN: What is the area under the curve for the function y = x² from 0 to 2?
- FR: Quelle est la surface sous la courbe pour la fonction y = x² de 0 à 2?
- Choices: A) 2 B) 4 C) 1 D) 3
- Hint: Use integration or find the area of the rectangle and triangle.
- Steps:
- step 1: Calculate the integral.
- step 2: Evaluate from 0 to 2.
- Answer: 2
[Medium] Functions and Their Properties
- EN: If f(x) = 3x² - 2, what is f(-2)?
- FR: Si f(x) = 3x² - 2, quelle est f(-2)?
- Choices: A) 10 B) 14 C) 8 D) 5
- Hint: Substitute -2 into the function.
- Steps:
- step 1: Compute f(-2).
- step 2: Solve for the value.
- Answer: 10
[Medium] Word Problems and Equations
- EN: A rectangle has a length that is twice its width. If the perimeter is 36 cm, what is the width?
- FR: Un rectangle a une longueur qui est le double de sa largeur. Si le périmètre est de 36 cm, quelle est la largeur?
- Choices: A) 6 cm B) 9 cm C) 12 cm D) 8 cm
- Hint: Use the perimeter formula P = 2(l + w).
- Steps:
- step 1: Set up the equation: 36 = 2(2w + w).
- step 2: Solve for w.
- Answer: 6 cm
[Hard] Maximizing Areas
- EN: A rectangle with a fixed perimeter of 40 cm has a maximum area. What are the dimensions?
- FR: Un rectangle avec un périmètre fixe de 40 cm a une superficie maximale. Quelles sont les dimensions?
- Choices: A) 10 cm × 10 cm B) 12 cm × 8 cm C) 15 cm × 5 cm D) 14 cm × 6 cm
- Hint: Use the properties of squares/rectangles.
- Steps:
- step 1: Set P = 40.
- step 2: Formulate area A = lw and maximize.
- Answer: A) 10 cm × 10 cm
[Hard] Systems of Equations
- EN: Solve the system: 2x + 3y = 7 and x - y = 1. Find x and y.
- FR: Résous le système : 2x + 3y = 7 et x - y = 1. Trouve x et y.
- Choices: A) x=1, y=2 B) x=2, y=1 C) x=0, y=3 D) x=3, y=0
- Hint: Use substitution or elimination method.
- Steps:
- step 1: Solve one equation for x.
- step 2: Substitute in the other equation.
- Answer: B) x=2, y=1
[Hard] Uniform Distribution
- EN: What is the mean of the data set {10, 12, 14, 16, 18, 20}?
- FR: Quelle est la moyenne de l'ensemble de données {10, 12, 14, 16, 18, 20}?
- Choices: A) 15 B) 17 C) 16 D) 20
- Hint: Remember to sum the values and divide by the count.
- Steps:
- step 1: Calculate total sum.
- step 2: Divide by the number of elements.
- Answer: A) 15
[Hard] Quadratic Applications
- EN: A ball is thrown into the air and its height can be modeled by the equation h(t) = -16t² + 64t + 5. When will it reach its maximum height?
- FR: Une balle est lancée dans les airs et sa hauteur peut être modélisée par l'équation h(t) = -16t² + 64t + 5. Quand atteindra-t-elle sa hauteur maximale?
- Choices: A) 2 B) 3 C) 4 D) 5
- Hint: Find the vertex of the parabola.
- Steps:
- step 1: Use the formula -b/(2a).
- step 2: Find t.
- Answer: A) 2
Grade 11 Problems
[Easy] Basic Algebra
- EN: What is the value of 2x + 3 if x = 4?
- FR: Quelle est la valeur de 2x + 3 si x = 4?
- Choices: A) 10 B) 15 C) 11 D) 12
- Hint: Substitute x into the equation.
- Steps:
- step 1: Substitute x = 4.
- step 2: Calculate.
- Answer: 11
[Easy] Exponential Growth
- EN: What is 2^3?
- FR: Quel est 2^3?
- Choices: A) 4 B) 6 C) 8 D) 10
- Hint: Multiply 2 by itself three times.
- Steps:
- step 1: Calculate powers.
- step 2: Get the answer.
- Answer: 8
[Easy] Simple Inequality
- EN: Is 3x > 9 true if x = 4?
- FR: Est-ce que 3x > 9 est vrai si x = 4?
- Choices: A) Yes B) No C) Maybe D) Uncertain
- Hint: Substitute and check.
- Steps:
- step 1: Substitute x = 4 into the inequality.
- step 2: Evaluate the statement.
- Answer: A) Yes
[Easy] Basic Function Evaluation
- EN: If f(x) = x + 5, what is f(2)?
- FR: Si f(x) = x + 5, quelle est f(2)?
- Choices: A) 7 B) 8 C) 9 D) 10
- Hint: Substitute x with 2.
- Steps:
- step 1: Replace x in the function.
- step 2: Solve.
- Answer: 7
[Medium] Evaluating a Rational Function
- EN: What is f(x) = 1/(x + 3) when x = 1?
- FR: Quelle est f(x) = 1/(x + 3) quand x = 1?
- Choices: A) 1/4 B) 1/5 C) 1/3 D) 1/2
- Hint: Substitute x = 1 into the function.
- Steps:
- step 1: Replace x with 1.
- step 2: Calculate the result.
- Answer: 1/4
[Medium] Financial Math
- EN: If you invest $100 at a 5% interest rate per year, how much do you have after 3 years?
- FR: Si tu investis 100 $ à un taux d'intérêt de 5 % par an, combien as-tu après 3 ans?
- Choices: A) $115.00 B) $120.00 C) $110.25 D) $125.00
- Hint: Use the formula A = P(1 + r)^t.
- Steps:
- step 1: Calculate using the formula.
- step 2: Evaluate the amount.
- Answer: C) $115.76
[Medium] Solving Quadratic Equations
- EN: What are the roots of x² - 4x - 5 = 0?
- FR: Quelles sont les racines de x² - 4x - 5 = 0?
- Choices: A) -1, 5 B) -5, 1 C) 5, -1 D) 1, 5
- Hint: Factor the polynomial.
- Steps:
- step 1: Factor the expression.
- step 2: Solve for x.
- Answer: A) -1, 5
[Medium] Absolute Value Equations
- EN: Solve |x + 3| = 7. What are the values of x?
- FR: Résous |x + 3| = 7. Quelles sont les valeurs de x?
- Choices: A) -10, 4 B) -7, -1 C) -4, 10 D) -6, 4
- Hint: Break into two equations.
- Steps:
- step 1: Set two cases: x + 3 = 7 and x + 3 = -7.
- step 2: Solve both for x.
- Answer: A) -10, 4
[Hard] Exploring Linear Functions
- EN: If y = 3x + 2, what is the value of y when x = -1?
- FR: Si y = 3x + 2, quelle est la valeur de y quand x = -1?
- Choices: A) -1 B) 0 C) 1 D) 2
- Hint: Substitute x into the equation.
- Steps:
- step 1: Replace x with -1.
- step 2: Solve for y.
- Answer: -1
[Hard] Finding the Vertex of a Parabola
- EN: What is the vertex of the parabola defined by the equation y = x² - 6x + 8?
- FR: Quelle est le sommet de la parabole définie par l'équation y = x² - 6x + 8?
- Choices: A) (3, -1) B) (4, 0) C) (2, 2) D) (1, 1)
- Hint: Use the vertex formula x = -b/2a.
- Steps:
- step 1: Calculate x using -b/2a.
- step 2: Substitute back to find y.
- Answer: A) (3, -1)
[Hard] Combination of Polynomials
- EN: What is (x² + 2x) + (3x - 4)?
- FR: Quel est (x² + 2x) + (3x - 4)?
- Choices: A) x² + 5x - 4 B) x² + 5x + 4 C) 4x - 4 D) x² + 5x + 1
- Hint: Combine like terms.
- Steps:
- step 1: Identify each part.
- step 2: Add quadratic and linear terms.
- Answer: A) x² + 5x - 4
[Hard] Evaluating Complex Numbers
- EN: What is the product of (3 + 4i) and (2 - i)?
- FR: Quel est le produit de (3 + 4i) et (2 - i)?
- Choices: A) 10 B) 11 C) 8 D) 13
- Hint: Use the distributive property.
- Steps:
- step 1: Multiply using (a + b)(c + d) = ac + ad + bc
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