Daily Math — 2026-05-04
Grade 1 Problems
[Easy] Counting Candies
- EN: You have 5 candies. Your friend gives you 3 more. How many candies do you have now?
- FR: Tu as 5 bonbons. Ton ami t'en donne 3 de plus. Combien de bonbons as-tu maintenant?
- Choices: A) 6 B) 8 C) 7 D) 9
- Hint: Add the candies you got from your friend.
- Steps:
- Count the candies you started with.
- Add the candies from your friend.
- Answer: 8
[Easy] Compare Numbers
- EN: Which number is greater: 12 or 15?
- FR: Quel nombre est plus grand : 12 ou 15 ?
- Choices: A) 12 B) 15 C) Both D) Neither
- Hint: Think about the number line.
- Steps:
- Look at both numbers.
- Determine which one is higher.
- Answer: 15
[Easy] Skip Counting
- EN: Count by 2s: 2, 4, __?
- FR: Compte par 2 : 2, 4, __ ?
- Choices: A) 5 B) 6 C) 7 D) 8
- Hint: What comes after 4 when you add 2?
- Steps:
- Start at 4.
- Add 2 to find the next number.
- Answer: 6
[Easy] Penny Counting
- EN: You have 4 pennies and find 2 more. How many pennies do you have?
- FR: Tu as 4 sous et tu en trouves 2 de plus. Combien de sous as-tu ?
- Choices: A) 6 B) 7 C) 5 D) 8
- Hint: Simply add the pennies together!
- Steps:
- Count your pennies.
- Add the ones you found.
- Answer: 6
[Medium] Adding Time
- EN: The clock shows 3:00. If you wait for 2 hours, what time will it be?
- FR: L'horloge montre 3h00. Si tu attends 2 heures, quelle heure sera-t-il ?
- Choices: A) 4:00 B) 5:00 C) 6:00 D) 3:30
- Hint: Think about how many hours you add.
- Steps:
- Start from 3:00.
- Count forward 2 hours.
- Answer: 5:00
[Medium] Measuring Length
- EN: A pencil is 10 cm long. You buy another pencil that is 5 cm longer. How long is the new pencil?
- FR: Un crayon mesure 10 cm de long. Tu achètes un autre crayon qui est 5 cm plus long. Quelle est la longueur du nouveau crayon ?
- Choices: A) 12 cm B) 14 cm C) 15 cm D) 16 cm
- Hint: Add the extra length to the first pencil.
- Steps:
- Note the length of the first pencil.
- Add the extra length.
- Answer: 15
[Medium] Coin Collection
- EN: You have 1 loonie, 2 toonies, and 3 dimes. How much money do you have?
- FR: Tu as 1 dollar, 2 dollars et 3 dimes. Combien d'argent as-tu ?
- Choices: A) 4.60 B) 5.30 C) 6.00 D) 7.10
- Hint: Convert coins to dollars.
- Steps:
- Calculate the value of each type of coin.
- Add them together.
- Answer: 6.00
[Medium] Hockey Scores
- EN: Your favorite hockey team scored 4 goals. Another team scored 6 goals. How many goals in total?
- FR: Ton équipe de hockey préférée a marqué 4 buts. Une autre équipe a marqué 6 buts. Combien de buts au total ?
- Choices: A) 10 B) 9 C) 8 D) 6
- Hint: Think about combining both teams' goals.
- Steps:
- Add the goals of both teams.
- Answer: 10
[Hard] Fraction Comparison
- 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 equal D) Neither
- Hint: Think about sharing a pie.
- Steps:
- Convert both fractions to decimals if needed.
- Compare their values.
- Answer: 1/2
[Hard] Area of a Rectangle
- EN: A rectangle is 4 cm long and 3 cm wide. What is the area?
- FR: Un rectangle mesure 4 cm de long et 3 cm de large. Quelle est l'aire ?
- Choices: A) 12 cm² B) 10 cm² C) 8 cm² D) 7 cm²
- Hint: Multiply length by width.
- Steps:
- Use the formula for area.
- Calculate using the given dimensions.
- Answer: 12
Grade 2 Problems
[Easy] Count the Coins
- EN: You have 3 nickels. How much money is that?
- FR: Tu as 3 nickels. Combien d'argent cela fait-il ?
- Choices: A) 10 cents B) 15 cents C) 5 cents D) 20 cents
- Hint: Each nickel is worth 5 cents.
- Steps:
- Find the value of one nickel.
- Multiply by the number of nickels.
- Answer: 15 cents
[Easy] Simple Addition
- EN: 7 apples and 2 apples make how many apples?
- FR: 7 pommes et 2 pommes font combien de pommes ?
- Choices: A) 8 B) 9 C) 10 D) 11
- Hint: Just add the numbers together!
- Steps:
- Count the first group of apples.
- Add the second group of apples.
- Answer: 9
[Easy] Clock Reading
- EN: If the clock shows 2:30, what hour is it?
- FR: Si l'horloge montre 2h30, quelle heure est-il ?
- Choices: A) 2 B) 3 C) 1 D) 4
- Hint: Look at the hour hand.
- Steps:
- Identify the hour on the clock.
- Note the minute.
- Answer: 2
[Easy] Adding Lengths
- EN: You have a string that is 7 cm long and another that is 3 cm long. How long are they together?
- FR: Tu as une ficelle de 7 cm de long et une autre de 3 cm de long. Quelle est leur longueur ensemble ?
- Choices: A) 8 cm B) 10 cm C) 9 cm D) 11 cm
- Hint: Add the lengths of the strings.
- Steps:
- Measure the first string's length.
- Add the second string's length.
- Answer: 10
[Medium] Coin Addition
- EN: You have 5 loonies and 6 quarters. How much money do you have in total?
- FR: Tu as 5 dollars et 6 quarts. Combien d'argent as-tu au total ?
- Choices: A) $5.50 B) $6.00 C) $6.50 D) $7.00
- Hint: Convert each type of coin to dollars.
- Steps:
- Calculate the total from loonies.
- Calculate the total from quarters.
- Add both totals.
- Answer: $6.50
[Medium] Subtracting Time
- EN: If you leave home at 3:00 PM and arrive at 4:30 PM, how long did it take?
- FR: Si tu pars de chez toi à 15h00 et arrives à 16h30, combien de temps cela a-t-il pris ?
- Choices: A) 1 hour B) 1.5 hours C) 2 hours D) 2.5 hours
- Hint: Find the difference between the two times.
- Steps:
- Start at 3:00 PM.
- Subtract to find arrival time.
- Answer: 1.5 hours
[Medium] Measuring Area
- EN: A square garden has sides of 4 meters. What is the area?
- FR: Un jardin carré a des côtés de 4 mètres. Quelle est l'aire ?
- Choices: A) 16 m² B) 12 m² C) 8 m² D) 20 m²
- Hint: Remember the formula for the area of a square.
- Steps:
- Multiply the length of one side by itself.
- Answer: 16
[Medium] Understanding Patterns
- EN: What is the next number in the pattern: 1, 3, 5, 7, __?
- FR: Quel est le prochain nombre dans le motif : 1, 3, 5, 7, __ ?
- Choices: A) 9 B) 10 C) 11 D) 12
- Hint: Look for how much it's increasing.
- Steps:
- Determine the rule of the pattern.
- Add to find the next number.
- Answer: 9
[Hard] Comparing Fractions
- EN: Which is larger: 3/4 or 2/3?
- FR: Lequel est plus grand : 3/4 ou 2/3 ?
- Choices: A) 3/4 B) 2/3 C) Both the same D) Neither
- Hint: Convert to decimals if needed for comparison.
- Steps:
- Convert both to decimals or find a common denominator.
- Compare the results.
- Answer: 3/4
[Hard] Total Length of Pens
- EN: You have 2 pens that are each 10 cm long and 3 pens that are each 6 cm long. What is the total length of all the pens?
- FR: Tu as 2 stylos qui mesurent chacun 10 cm de long et 3 stylos qui mesurent chacun 6 cm de long. Quelle est la longueur totale de tous les stylos ?
- Choices: A) 52 cm B) 40 cm C) 60 cm D) 64 cm
- Hint: Calculate the length of each group of pens and add them.
- Steps:
- Measure the first group of pens.
- Measure the second group of pens.
- Add both lengths together.
- Answer: 52
Grade 3 Problems
[Easy] Simple Multiplication
- EN: What is 2 times 3?
- FR: Quel est 2 fois 3 ?
- Choices: A) 5 B) 6 C) 7 D) 8
- Hint: Think of 2 groups of 3.
- Steps:
- Multiply the two numbers.
- Answer: 6
[Easy] Adding Fractions
- 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) 1/5
- Hint: Think about how many quarters make a half.
- Steps:
- Add the fractions together.
- Answer: 1/2
[Easy] Counting Sides
- EN: How many sides does a triangle have?
- FR: Combien de côtés a un triangle ?
- Choices: A) 2 B) 3 C) 4 D) 5
- Hint: Think about the shape!
- Steps:
- Recall the definition of a triangle.
- Answer: 3
[Easy] Daily Temperature
- EN: The temperature is 10°C today and it gets warmer by 5°C. What is the new temperature?
- FR: La température est de 10°C aujourd'hui et elle devient plus chaude de 5°C. Quelle est la nouvelle température ?
- Choices: A) 10°C B) 15°C C) 5°C D) 20°C
- Hint: Add the temperature increase.
- Steps:
- Start with the current temperature.
- Add the increase.
- Answer: 15
[Medium] Simple Division
- EN: If you have 20 cookies and share them equally among 5 friends, how many cookies does each friend get?
- FR: Si tu as 20 biscuits et que tu les partages également entre 5 amis, combien de biscuits chaque ami reçoit-il ?
- Choices: A) 2 B) 3 C) 4 D) 5
- Hint: Divide the total cookies by the number of friends.
- Steps:
- Identify the total number of cookies.
- Divide by the number of friends.
- Answer: 4
[Medium] Reading a Graph
- EN: A bar graph shows 4 people have 5 apples each. How many apples are there in total?
- FR: Un diagramme à barres montre que 4 personnes ont chacune 5 pommes. Combien de pommes y a-t-il au total ?
- Choices: A) 20 B) 15 C) 10 D) 5
- Hint: Multiply the number of people by the apples each has.
- Steps:
- Count the number of people.
- Multiply by apples per person.
- Answer: 20
[Medium] Finding 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. Quelle est sa circonférence ?
- Choices: A) 16 cm B) 15 cm C) 14 cm D) 12 cm
- Hint: Use the perimeter formula for rectangles.
- Steps:
- Add all four sides together.
- Answer: 16
[Medium] Fraction of a Set
- EN: What is 1/2 of 10?
- FR: Quel est 1/2 de 10 ?
- Choices: A) 4 B) 5 C) 6 D) 8
- Hint: Think about splitting something in half.
- Steps:
- Divide the total by 2.
- Answer: 5
[Hard] Total Area of Shapes
- EN: A rectangle is 4 cm long and 3 cm wide, and a square is 2 cm on each side. What is the total area?
- FR: Un rectangle mesure 4 cm de long et 3 cm de large, et un carré mesure 2 cm de chaque côté. Quelle est l'aire totale ?
- Choices: A) 14 cm² B) 13 cm² C) 15 cm² D) 12 cm²
- Hint: Calculate the area of each shape then add.
- Steps:
- Find areas of both shapes.
- Add them together.
- Answer: 14
[Hard] More than One Operation
- EN: You have 25 candies. You give away 5, then buy another 10. How many candies do you have now?
- FR: Tu as 25 bonbons. Tu en donnes 5, puis tu en achètes 10. Combien de bonbons as-tu maintenant ?
- Choices: A) 30 B) 35 C) 25 D) 20
- Hint: First subtract, then add.
- Steps:
- Subtract the candies given away.
- Add the candies bought.
- Answer: 30
[Hard] Comparing Distances
- EN: A car travels 60 km, and a bike travels 45 km. How much further does the car travel than the bike?
- FR: Une voiture parcourt 60 km, et un vélo parcourt 45 km. Combien le car a-t-il parcouru de plus que le vélo ?
- Choices: A) 15 km B) 10 km C) 20 km D) 25 km
- Hint: Subtract the bike's distance from the car's.
- Steps:
- Identify distances of both vehicles.
- Subtract to find the difference.
- Answer: 15
[Hard] Total Volume of Boxes
- EN: A box is 2 cm long, 3 cm wide, and 4 cm high. 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) 20 cm³ B) 24 cm³ C) 22 cm³ D) 18 cm³
- Hint: Remember the volume formula for a box.
- Steps:
- Multiply length by width and height.
- Answer: 24
[Hard] Total Cost of Camping
- EN: You buy a tent for $80 and sleeping bags for $20 each. If you buy 3 sleeping bags, what is the total cost?
- FR: Tu achètes une tente pour 80$ et des sacs de couchage à 20$ chacun. Si tu achètes 3 sacs de couchage, quel est le coût total ?
- Choices: A) $160 B) $140 C) $100 D) $120
- Hint: First calculate the cost of sleeping bags.
- Steps:
- Find the cost of sleeping bags.
- Add it to the cost of the tent.
- Answer: $140
[Hard] Combining Fractions
- EN: If you walk 1/3 of a mile and then 1/6 of a mile, how far have you walked total?
- FR: Si tu marches 1/3 de mile et ensuite 1/6 de mile, combien as-tu marché au total ?
- Choices: A) 1/2 B) 1/3 C) 1/6 D) 2/3
- Hint: Find a common denominator to add.
- Steps:
- Convert both fractions.
- Add them together.
- Answer: 1/2
[Hard] Dividing Money
- EN: You have $72 and want to divide it equally among 9 friends. How much does each friend get?
- FR: Tu as 72$ et veux le diviser également entre 9 amis. Combien chaque ami reçoit-il ?
- Choices: A) $8 B) $9 C) $7 D) $6
- Hint: Divide the total by the number of friends.
- Steps:
- Use division to find each share.
- Answer: $8
Grade 4 Problems
[Easy] Simple Division
- EN: What is 10 divided by 2?
- FR: Quel est 10 divisé par 2 ?
- Choices: A) 2 B) 3 C) 4 D) 5
- Hint: Think about how many times 2 fits into 10.
- Steps:
- Count out twos until you reach 10.
- Answer: 5
[Easy] Basic Multiplication
- EN: What is 7 times 2?
- FR: Quel est 7 fois 2 ?
- Choices: A) 12 B) 13 C) 14 D) 15
- Hint: Think of adding 7 two times.
- Steps:
- Multiply the two numbers.
- Answer: 14
[Easy] Adding Whole Numbers
- EN: If you have 8 apples and buy 4 more, how many apples do you have?
- FR: Si tu as 8 pommes et que tu en achètes 4 de plus, combien de pommes as-tu ?
- Choices: A) 10 B) 11 C) 12 D) 13
- Hint: Just add the two numbers!
- Steps:
- Start with your apples.
- Add the ones you bought.
- Answer: 12
[Easy] Counting Time
- EN: If it’s 2:00 PM now, what will the time be in two hours?
- FR: S'il est 14h00 maintenant, quelle heure sera-t-il dans deux heures ?
- Choices: A) 3:00 PM B) 4:00 PM C) 5:00 PM D) 6:00 PM
- Hint: Just count forward from 2:00.
- Steps:
- Start at 2 and count 2 hours forward.
- Answer: 4:00 PM
[Medium] Area of Rectangle
- EN: A rectangle has a length of 4 m and a width of 5 m. What is its area?
- FR: Un rectangle mesure 4 m de long et 5 m de large. Quelle est son aire ?
- Choices: A) 20 m² B) 15 m² C) 12 m² D) 10 m²
- Hint: Multiply the length by the width.
- Steps:
- Length × Width.
- Answer: 20
[Medium] Subtracting Numbers
- EN: You have 50 candies, and you give away 13. How many candies do you have left?
- FR: Tu as 50 bonbons et tu en donnes 13. Combien de bonbons te reste-t-il ?
- Choices: A) 36 B) 37 C) 38 D) 39
- Hint: Subtract the candies given away.
- Steps:
- Start with 50.
- Calculate how many remain after giving.
- Answer: 37
[Medium] Finding the Mean
- EN: What is the average of these numbers: 2, 4, 6, and 8?
- FR: Quelle est la moyenne de ces nombres : 2, 4, 6 et 8 ?
- Choices: A) 4 B) 5 C) 6 D) 7
- Hint: Add them up and divide by how many there are.
- Steps:
- Sum the numbers.
- Divide by the total count.
- Answer: 5
[Medium] Solving for Length
- EN: A rectangle has a width of 4 m. If its area is 32 m², what is the length?
- FR: Un rectangle a une largeur de 4 m. Si son aire est de 32 m², quelle est la longueur ?
- Choices: A) 6 m B) 8 m C) 10 m D) 12 m
- Hint: Length = Area ÷ Width.
- Steps:
- Divide the area by width.
- Answer: 8
[Hard] Long Division
- EN: Divide 144 by 12. What is the answer?
- FR: Divise 144 par 12. Quelle est la réponse ?
- Choices: A) 10 B) 11 C) 12 D) 13
- Hint: Think how many times 12 fits into 144.
- Steps:
- Perform long division.
- Answer: 12
[Hard] Comparing Area of Shapes
- EN: A park is rectangular with a length of 10 m and a width of 8 m. A playground inside it is square with sides of 4 m. What is the area of the park compared to the playground?
- FR: Un parc est rectangulaire avec une longueur de 10 m et une largeur de 8 m. Un terrain de jeux à l'intérieur est carré avec des côtés de 4 m. Quelle est l'aire du parc par rapport à celle du terrain de jeux ?
- Choices: A) Park has 6 m² more area B) Park has 8 m² less area C) Park has 70 m² more area D) Park has 4 m² less area
- Hint: Calculate the area of both.
- Steps:
- Find area of park and playground.
- Compare the two areas.
- Answer: Park has 70 m² more area
[Hard] Find the Perimeter of a Composite Shape
- EN: A rectangular garden is 6 m long and 2 m wide. What is the perimeter?
- FR: Un jardin rectangulaire mesure 6 m de long et 2 m de large. Quelle est la circonférence ?
- Choices: A) 12 m B) 18 m C) 32 m D) 16 m
- Hint: Perimeter = 2(length + width).
- Steps:
- Add the length and width.
- Multiply by 2.
- Answer: 16
[Hard] Simple Algebra
- EN: If x + 8 = 15, what is x?
- FR: Si x + 8 = 15, quelle est x ?
- Choices: A) 6 B) 7 C) 8 D) 9
- Hint: Think about what number plus 8 equals 15.
- Steps:
- Subtract 8 from 15.
- Answer: 7
[Hard] Area & Perimeter of Rectangle
- EN: A rectangle has a length of 10 cm and a width of 5 cm. What is its area and perimeter?
- FR: Un rectangle a une longueur de 10 cm et une largeur de 5 cm. Quelle est son aire et sa circonférence ?
- Choices: A) Area 50 cm², Perimeter 30 cm B) Area 30 cm², Perimeter 50 cm C) Area 100 cm², Perimeter 40 cm D) Area 60 cm², Perimeter 20cm
- Hint: Use both area and perimeter formulas.
- Steps:
- Calculate area and perimeter separately.
- Answer: Area 50 cm², Perimeter 30 cm
[Hard] Fraction Addition
- EN: What is 3/5 + 1/5?
- FR: Quel est 3/5 + 1/5 ?
- Choices: A) 4/5 B) 5/5 C) 6/5 D) 2/5
- Hint: Denominators are the same!
- Steps:
- Add the numerators together.
- Answer: 4/5
[Hard] Distance Traveled Problem
- EN: A car travels 100 km in 1 hour and 20 minutes. How many kilometers does it travel in one hour?
- FR: Une voiture parcourt 100 km en 1 heure et 20 minutes. Combien de kilomètres parcourt-elle en une heure ?
- Choices: A) 50 km B) 60 km C) 70 km D) 80 km
- Hint: Convert the time into hours for your calculation.
- Steps:
- Find total hours to get speed.
- Calculate based on distance and time.
- Answer: 75 km
Grade 5 Problems
[Easy] Addition of Whole Numbers
- EN: What is 15 + 10?
- FR: Quel est 15 + 10 ?
- Choices: A) 20 B) 25 C) 30 D) 35
- Hint: Just add the two together.
- Steps:
- Add the numbers directly.
- Answer: 25
[Easy] Subtraction from a Total
- EN: If you have 30 candies and give away 12, how many candies are left?
- FR: Si tu as 30 bonbons et que tu en donnes 12, combien de bonbons restent-ils ?
- Choices: A) 18 B) 16 C) 14 D) 12
- Hint: Subtract the given amount from total.
- Steps:
- Start with total candies.
- Subtract what is given away.
- Answer: 18
[Easy] Counting Change
- EN: You have 3 loonies and 2 toonies. How much money do you have?
- FR: Tu as 3 dollars et 2 dollars. Combien d'argent as-tu ?
- Choices: A) $5 B) $7 C) $6 D) $8
- Hint: Convert to total dollars.
- Steps:
- Calculate the total dollar amount.
- Answer: $7
[Easy] Simple Measurement
- EN: A box is 1 meter long, 2 meters wide. What is the perimeter?
- FR: Une boîte mesure 1 mètre de long et 2 mètres de large. Quelle est la circonférence ?
- Choices: A) 6 m B) 8 m C) 5 m D) 9 m
- Hint: Add all sides together.
- Steps:
- Calculate based on rectangle formula.
- Answer: 6 m
[Medium] Adding and Subtracting Fractions
- EN: What is 1/2 + 1/4?
- FR: Quel est 1/2 + 1/4 ?
- Choices: A) 3/4 B) 2/4 C) 5/4 D) 1/4
- Hint: Find a common denominator.
- Steps:
- Convert fractions to a common base.
- Add together.
- Answer: 3/4
[Medium] Multiplying Decimals
- EN: What is 0.5 times 4?
- FR: Quel est 0.5 multiplié par 4 ?
- Choices: A) 1 B) 2 C) 3 D) 4
- Hint: Calculate as if it’s a whole number.
- Steps:
- Multiply the decimals.
- Answer: 2
[Medium] Cost of Items
- EN: If a jacket costs $40 and a pair of shoes costs $60, how much are they together?
- FR: Si une veste coûte 40 $ et une paire de chaussures coûte 60 $, combien cela fait-il ensemble ?
- Choices: A) $90 B) $100 C) $110 D) $120
- Hint: Just add the two prices.
- Steps:
- Calculate the total.
- Answer: $100
[Medium] Calculating Volume
- EN: What is the volume of a box that is 2 cm long, 3 cm wide, and 4 cm high?
- FR: Quel est le volume d'une boîte qui mesure 2 cm de long, 3 cm de large et 4 cm de haut ?
- Choices: A) 24 cm³ B) 20 cm³ C) 18 cm³ D) 12 cm³
- Hint: Use Volume = Length × Width × Height.
- Steps:
- Multiply the dimensions.
- Answer: 24 cm³
[Hard] Adding Mixed Numbers
- EN: What is 1 1/2 + 2 3/4?
- FR: Quel est 1 1/2 + 2 3/4 ?
- Choices: A) 4 1/4 B) 3 3/4 C) 4 1/2 D) 5
- Hint: Convert mixed numbers to improper fractions first.
- Steps:
- Add and convert back to mixed number.
- Answer: 4 1/4
[Hard] Dividing Fractions
- EN: What is 2/3 divided by 4/5?
- FR: Quel est 2/3 divisé par 4/5 ?
- Choices: A) 5/6 B) 6/5 C) 8/15 D) 7/6
- Hint: Remember to multiply by the reciprocal.
- Steps:
- Change to multiplication and calculate.
- Answer: 5/6
[Hard] Solving for 'x'
- EN: If 5x = 30, what is x?
- FR: Si 5x = 30, quelle est x ?
- Choices: A) 5 B) 6 C) 7 D) 8
- Hint: Think about division.
- Steps:
- Divide both sides by 5.
- Answer: 6
[Hard] 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:
- Calculate by multiplying.
- Answer: 50
[Hard] Area of Composite Shapes
- EN: What is the area of a rectangle with length 5 m and width 4 m?
- FR: Quelle est l'aire d'un rectangle d'une longueur de 5 m et d'une largeur de 4 m ?
- Choices: A) 20 m² B) 25 m² C) 15 m² D) 10 m²
- Hint: Area = Length × Width.
- Steps:
- Multiply the dimensions.
- Answer: 20 m²
[Hard] Volume with Altered Dimensions
- EN: If a tube has a radius of 3 cm and a height of 10 cm, what is its volume? (Use π = 3.14)
- FR: Si un tube a un rayon de 3 cm et une hauteur de 10 cm, quel est son volume ? (Utilise π = 3.14)
- Choices: A) 28.26 cm³ B) 84.78 cm³ C) 31.42 cm³ D) 94.2 cm³
- Hint: Volume formula = πr²h.
- Steps:
- Apply the formula using the given measurements.
- Answer: 84.78 cm³
[Hard] Algebraic Problem Solving
- EN: If 3x + 4 = 16, what is the value of x?
- FR: Si 3x + 4 = 16, quelle est la valeur de x ?
- Choices: A) 4 B) 2 C) 3 D) 5
- Hint: Solve for x by isolating it.
- Steps:
- Subtract 4 and then divide by 3.
- Answer: 4
Grade 6 Problems
[Easy] Adding Simple Fractions
- EN: What is 1/2 + 1/2?
- FR: Quel est 1/2 + 1/2 ?
- Choices: A) 1 B) 2 C) 3 D) 4
- Hint: Think about what halves make a whole.
- Steps:
- Add the fractions together.
- Answer: 1
[Easy] Simple Ratios
- EN: If you have 2 apples and 4 oranges, what is the ratio of apples to oranges?
- FR: Si tu as 2 pommes et 4 oranges, quel est le rapport de pommes à oranges ?
- Choices: A) 1:2 B) 2:1 C) 4:2 D) 1:1
- Hint: Compare the quantities.
- Steps:
- Write the ratio in simplest form.
- Answer: 1:2
[Easy] Basic Measurement
- EN: How many centimeters are in 1 meter?
- FR: Combien de centimètres y a-t-il dans 1 mètre ?
- Choices: A) 100 B) 10 C) 1000 D) 1
- Hint: Think about metric units.
- Steps:
- Recall the conversion factor.
- Answer: 100
[Easy] Identifying Positive and Negative Numbers
- EN: What is greater: -5 or -3?
- FR: Lequel est plus grand : -5 ou -3 ?
- Choices: A) -5 B) -3 C) They are the same D) Neither
- Hint: Think along the number line.
- Steps:
- Identify their positions on the line.
- Answer: -3
[Medium] Multiplying Fractions
- EN: What is 2/3 times 3/4?
- FR: Quel est 2/3 multiplié par 3/4 ?
- Choices: A) 1/2 B) 1 C) 3/6 D) 1/4
- Hint: Multiply the numerators and denominators.
- Steps:
- Perform the multiplication.
- Answer: 1/2
[Medium] Working with Ratios
- EN: If a recipe needs 4 cups of flour for every 2 cups of sugar, what is the ratio of sugar to flour?
- FR: Si une recette nécessite 4 tasses de farine pour chaque 2 tasses de sucre, quel est le rapport de sucre à farine ?
- Choices: A) 1:2 B) 2:4 C) 4:1 D) 2:1
- Hint: Write the ratio based on ingredients needed.
- Steps:
- Simplify the ratio of sugar to flour.
- Answer: 1:2
[Medium] Multi-Step Word Problem
- EN: Rob has 30 candies, he eats 5 and then shares the rest with 5 friends. How many candies does each friend get?
- FR: Rob a 30 bonbons, il en mange 5 puis partage le reste avec 5 amis. Combien de bonbons chaque ami reçoit-il ?
- Choices: A) 4 B) 5 C) 6 D) 3
- Hint: Subtract and then divide the remaining amount.
- Steps:
- Start with total candies.
- Subtract eaten candies.
- Divide by friends.
- Answer: 5
[Medium] Calculating Percentages
- EN: What is 20% of 50?
- FR: Quel est 20 % de 50 ?
- Choices: A) 5 B) 10 C) 15 D) 20
- Hint: Think of calculating one-fifth of 50.
- Steps:
- Calculate the percentage.
- Answer: 10
[Hard] Negative Integer Operations
- EN: What is -5 + 3?
- FR: Quel est -5 + 3 ?
- Choices: A) -2 B) 2 C) 3 D) -3
- Hint: Think about moving back and forth on the number line.
- Steps:
- Add the numbers considering their signs.
- Answer: -2
[Hard] Simple equations
- EN: If 3x = 12, what is the value of x?
- FR: Si 3x = 12, quelle est la valeur de x ?
- Choices: A) 2 B) 3 C) 5 D) 4
- Hint: Think of dividing both sides by 3.
- Steps:
- Solve for x using division.
- Answer: 4
[Hard] Finding Averages
- EN: What is the average of 6, 8, and 10?
- FR: Quelle est la moyenne de 6, 8 et 10 ?
- Choices: A) 8 B) 9 C) 10 D) 7
- Hint: Add the numbers and divide by 3.
- Steps:
- Calculate sum and find the average.
- Answer: 8
[Hard] Solving for x in Equations
- EN: What is x if 5x - 3 = 22?
- FR: Quelle est x si 5x - 3 = 22 ?
- Choices: A) 5 B) 4 C) 6 D) 3
- Hint: Add 3 to both sides first.
- Steps:
- Isolate x by performing operations.
- Answer: 5
[Hard] Volume Calculation
- EN: What is the volume of a rectangular prism that is 3 cm long, 4 cm wide, and 5 cm high?
- FR: Quel est le volume d'un prisme rectangulaire qui mesure 3 cm de long, 4 cm de large et 5 cm de haut ?
- Choices: A) 60 cm³ B) 50 cm³ C) 12 cm³ D) 15 cm³
- Hint: Use Volume = Length × Width × Height.
- Steps:
- Multiply dimensions together.
- Answer: 60 cm³
[Hard] Fraction Subtraction Problem
- EN: What is 5/6 - 1/3?
- FR: Quel est 5/6 - 1/3 ?
- Choices: A) 2/6 B) 3/6 C) 1/2 D) 4/6
- Hint: Find a common denominator.
- Steps:
- Convert fractions and subtract.
- Answer: 2/3
[Hard] Solving Ratio Problems
- EN: If 3 oranges cost $1.50, how much does one orange cost?
- FR: Si 3 oranges coûtent 1,50 $, combien coûte une orange ?
- Choices: A) $0.25 B) $0.50 C) $0.75 D) $1.00
- Hint: Divide the total cost by the number of oranges.
- Steps:
- Calculate cost per orange.
- Answer: $0.50
Grade 7 Problems
[Easy] Adding Integers
- EN: What is –3 + 5?
- FR: Quel est –3 + 5 ?
- Choices: A) 2 B) 5 C) –5 D) –2
- Hint: Think about moving right on the number line.
- Steps:
- Combine integers carefully.
- Answer: 2
[Easy] Simple Ratios
- EN: If a class has 10 boys and 5 girls, what is the ratio of boys to girls?
- FR: Si une classe a 10 garçons et 5 filles, quel est le rapport de garçons à filles ?
- Choices: A) 2:1 B) 1:2 C) 1:1 D) 3:1
- Hint: Write as a fraction.
- Steps:
- Simplify the ratio.
- Answer: 2:1
[Easy] Basic Probability
- EN: If you have a bag with 4 red and 6 blue marbles, what is the probability of picking a red marble?
- FR: Si tu as un sac avec 4 billes rouges et 6 billes bleues, quelle est la probabilité de choisir une bille rouge ?
- Choices: A) 2/5 B) 1/2 C) 4/10 D) 6/10
- Hint: Total marbles matter!
- Steps:
- Calculate probability as a fraction.
- Answer: 2/5
[Easy] Finding Averages
- EN: What is the average of 4, 8, and 12?
- FR: Quelle est la moyenne de 4, 8 et 12 ?
- Choices: A) 8 B) 6 C) 10 D) 12
- Hint: Add the numbers, then divide by how many there are.
- Steps:
- Sum and divide.
- Answer: 8
[Medium] Multiplying Integers
- EN: What is –6 times 3?
- FR: Quel est –6 multiplié par 3 ?
- Choices: A) –18 B) 18 C) –9 D) 9
- Hint: Negative times positive.
- Steps:
- Multiply as usual.
- Answer: –18
[Medium] Percentages
- EN: What is 30% of 200?
- FR: Quel est 30 % de 200 ?
- Choices: A) 60 B) 50 C) 70 D) 40
- Hint: Calculate one-third of the total.
- Steps:
- Find percent using multiplication.
- Answer: 60
[Medium] Solving for x in Equation
- EN: If 2x + 4 = 12, what is x?
- FR: Si 2x + 4 = 12, quelle est la valeur de x ?
- Choices: A) 3 B) 4 C) 5 D) 2
- Hint: First, subtract 4 from both sides.
- Steps:
- Solve step by step.
- Answer: 4
[Medium] Dividing Fractions
- EN: What is 3/4 ÷ 1/2?
- FR: Quel est 3/4 ÷ 1/2 ?
- Choices: A) 1 B) 1.5 C) 2 D) 3
- Hint: Flip the second fraction and multiply.
- Steps:
- Apply the rules of division.
- Answer: 1.5
[Hard] Finding Surface Area
- EN: What is the surface area of a cube with side length of 3 cm?
- FR: Quelle est la surface d'un cube avec une longueur de côté de 3 cm ?
- Choices: A) 18 cm² B) 36 cm² C) 54 cm² D) 27 cm²
- Hint: Use the formula for area of a cube.
- Steps:
- Calculate each face’s area.
- Answer: 54 cm²
[Hard] Finding Compound Interest
- EN: What is the total amount after 3 years if $100 is invested at an interest rate of 5% compounded annually?
- FR: Quel est le montant total après 3 ans si 100 $ sont investis à un taux d'intérêt de 5 % composé annuellement ?
- Choices: A) $115.76 B) $120.00 C) $130.00 D) $110.00
- Hint: Use the formula A = P(1 + r/n)^(nt).
- Steps:
- Calculate total compound interest.
- Answer: $115.76
[Hard] Solving Linear Equations
- EN: If 4x - 5 = 27, what is x?
- FR: Si 4x - 5 = 27, quelle est la valeur de x ?
- Choices: A) 8 B) 7 C) 9 D) 6
- Hint: Isolate x by adding 5 first.
- Steps:
- Break down the equation.
- Answer: 8
[Hard] Word problem with ratios
- EN: A recipe calls for a ratio of 2:1 for flour to sugar. If you use 8 cups of flour, how many cups of sugar do you need?
- FR: Une recette nécessite un ratio de 2:1 pour la farine et le sucre. Si tu utilises 8 tasses de farine, combien de tasses de sucre as-tu besoin ?
- Choices: A) 2 B) 3 C) 4 D) 5
- Hint: Maintain the ratio while calculating.
- Steps:
- Use the ratio to find sugar amount.
- Answer: 4
[Hard] Comparing Rate of Speed
- EN: A car travels 60 km in 1 hour. How fast is it traveling in km/h?
- FR: Une voiture parcourt 60 km en 1 heure. À quelle vitesse roule-t-elle en km/h ?
- Choices: A) 60 km/h B) 50 km/h C) 70 km/h D) 55 km/h
- Hint: Speed = Distance ÷ Time.
- Steps:
- Set up and calculate speed.
- Answer: 60 km/h
[Hard] Finding LCM
- EN: What is the least common multiple (LCM) of 4 and 6?
- FR: Quel est le multiple commun le plus bas (MCL) de 4 et 6 ?
- Choices: A) 12 B) 24 C) 18 D) 36
- Hint: Find the first number both go into.
- Steps:
- List multiples to find LCM.
- Answer: 12
[Hard] Finding Roots
- EN: What is the square root of 49?
- FR: Quelle est la racine carrée de 49 ?
- Choices: A) 6 B) 5 C) 7 D) 8
- Hint: Think of a number that multiplied by itself gives 49.
- Steps:
- Identify the number.
- Answer: 7
Grade 8 Problems
[Easy] Adding Rational Numbers
- EN: What is 2 + 3?
- FR: Quel est 2 + 3 ?
- Choices: A) 4 B) 5 C) 6 D) 7
- Hint: Count up from 2.
- Steps:
- Add the two numbers together.
- Answer: 5
[Easy] Multiplication Basics
- EN: What is 5 times 9?
- FR: Quel est 5 fois 9 ?
- Choices: A) 50 B) 45 C) 55 D) 60
- Hint: Think of 5 groups of 9.
- Steps:
- Perform multiplication.
- Answer: 45
[Easy] Identifying Inequalities
- EN: Is 7 greater than 10?
- FR: Est-ce que 7 est plus grand que 10 ?
- Choices: A) Yes B) No
- Hint: Look at the number line.
- Steps:
- Compare the two numbers.
- Answer: No
[Easy] Percentage Basics
- 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 of 100.
- Steps:
- Calculate the percentage.
- Answer: 50
[Medium] Finding the Slope
- EN: If two points on a line are (2,3) and (4,7), what is the slope?
- FR: Si deux points sur une ligne sont (2,3) et (4,7), quelle est la pente ?
- Choices: A) 2 B) 3 C) 4 D) 1
- Hint: Use the formula (y2-y1)/(x2-x1).
- Steps:
- Identify the coordinates and apply slope formula.
- Answer: 2
[Medium] Solving for Variables
- EN: If 2x + 4 = 16, what is x?
- FR: Si 2x + 4 = 16, quelle est la valeur de x ?
- Choices: A) 6 B) 5 C) 4 D) 3
- Hint: Start by subtracting 4 from both sides.
- Steps:
- Break it down step by step.
- Answer: 6
[Medium] Area of Triangle
- EN: What is the area of a triangle with a base of 10 cm and height of 5 cm?
- FR: Quelle est l'aire d'un triangle ayant une base de 10 cm et une hauteur de 5 cm ?
- Choices: A) 25 cm² B) 20 cm² C) 30 cm² D) 15 cm²
- Hint: Area = 1/2 × base × height.
- Steps:
- Apply the area formula.
- Answer: 25 cm²
[Medium] Working with Exponents
- EN: What is 2³?
- FR: Quel est 2³ ?
- Choices: A) 4 B) 6 C) 8 D) 10
- Hint: Think of multiplying 2 by itself three times.
- Steps:
- Calculate the exponent.
- Answer: 8
[Hard] Simplifying Expressions
- EN: Simplify 3x + 5x?
- FR: Simplifie 3x + 5x ?
- Choices: A) 6x B) 8x C) 9x D) 7x
- Hint: Combine like terms.
- Steps:
- Add the coefficients.
- Answer: 8x
[Hard] Finding the Radius of a Circle
- EN: If the diameter of a circle is 12 cm, what is the radius?
- FR: Si le diamètre d'un cercle est de 12 cm, quel est le rayon ?
- Choices: A) 6 cm B) 8 cm C) 10 cm D) 12 cm
- Hint: Divide the diameter by 2.
- Steps:
- Calculate radius from diameter.
- Answer: 6 cm
[Hard] Calculating Volume of Cylinder
- EN: What is the volume of a cylinder with a radius of 3 cm and 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) 45.00 cm³ C) 40.68 cm³ D) 47.12 cm³
- Hint: Use Volume = πr²h.
- Steps:
- Calculate the volume using the formula.
- Answer: 28.26 cm³
[Hard] Solving Quadratic Equations
- 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) 2 and 3 B) 1 and 6 C) 5 and -6 D) 0 and 6
- Hint: Factor the equation.
- Steps:
- Set the equation to zero and find factors.
- Answer: 2 and 3
[Hard] Finding Volume of Box
- EN: If a box is 4 cm long, 3 cm wide, and 2 cm high, what is the volume?
- FR: Si une boîte mesure 4 cm de long, 3 cm de large et 2 cm de haut, quel est le volume ?
- Choices: A) 10 cm³ B) 20 cm³ C) 24 cm³ D) 18 cm³
- Hint: Calculate using Volume = Length × Width × Height.
- Steps:
- Multiply the dimensions together.
- Answer: 24 cm³
[Hard] Solving for a Quadratic
- EN: Solve for x: x² + 3x - 10 = 0.
- FR: Résous pour x : x² + 3x - 10 = 0.
- Choices: A) 2 and -5 B) -2 and 5 C) 5 and -2 D) 3 and -10
- Hint: Factor or use the quadratic formula.
- Steps:
- Find the roots of the equation.
- Answer: 2 and -5
[Hard] Finding the GCF
- EN: What is the greatest common factor (GCF) of 24 and 36?
- FR: Quel est le plus grand facteur commun (PGFC) de 24 et 36 ?
- Choices: A) 6 B) 8 C) 12 D) 24
- Hint: List the factors and find the largest common one.
- Steps:
- Identify shared factors.
- Answer: 12
Grade 9 Problems
[Easy] Identifying Coordinate Points
- EN: What are the coordinates for point A on a grid at (3,2)?
- FR: Quelles sont les coordonnées du point A sur un graphique à (3,2) ?
- Choices: A) (2,3) B) (3,2) C) (1,2) D) (2,1)
- Hint: Remember the order of (x,y).
- Steps:
- Identify coordinates based on (x,y) format.
- Answer: (3,2)
[Easy] Simple Algebraic Equation
- EN: Solve for x: x + 3 = 10.
- FR: Résous pour x : x + 3 = 10.
- Choices: A) 6 B) 7 C) 5 D) 4
- Hint: Subtract 3 from both sides.
- Steps:
- Isolate x and perform operations.
- Answer: 7
[Easy] Evaluating Simple Expressions
- EN: What is 4a if a = 5?
- FR: Que vaut 4a si a = 5 ?
- Choices: A) 15 B) 20 C) 25 D) 30
- Hint: Calculate by replacing a with 5.
- Steps:
- Multiply using the provided value.
- Answer: 20
[Easy] Finding LCM of Two Numbers
- EN: What is the least common multiple of 2 and 3?
- FR: Quel est le multiple commun le plus bas de 2 et 3 ?
- Choices: A) 4 B) 6 C) 3 D) 2
- Hint: It’s the smallest number both can divide into.
- Steps:
- Calculate multiples to find the least.
- Answer: 6
[Medium] Working with Linear Functions
- EN: What is the slope of the line passing through points (1,2) and (3,4)?
- FR: Quelle est la pente de la ligne passant par les points (1,2) et (3,4) ?
- Choices: A) 1 B) 2 C) 0 D) -1
- Hint: Use the slope formula (y2-y1)/(x2-x1).
- Steps:
- Apply the coordinates to find slope.
- Answer: 1
[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) 5 and -1 B) 4 and 1 C) -2 and 2 D) 0 and 5
- Hint: Factor the quadratic equation.
- Steps:
- Find factors to get roots.
- Answer: 5 and -1
[Medium] Finding Perpendicular Lines
- EN: If the slope of line A is 2, what is the slope of line B that is perpendicular?
- FR: Si la pente de la ligne A est 2, quelle est la pente de la ligne B qui est perpendiculaire ?
- Choices: A) -2 B) 0.5 C) -0.5 D) 1
- Hint: The product of slopes should equal -1.
- Steps:
- Find the negative reciprocal of the slope.
- Answer: -0.5
[Medium] Solving Inequalities
- EN: What is the solution for the inequality x + 4 < 10?
- FR: Quelle est la solution de l'inégalité x + 4 < 10 ?
- Choices: A) x < 4 B) x > 4 C) x > 6 D) x < 6
- Hint: Isolate x by subtracting 4.
- Steps:
- Perform operations stepwise.
- Answer: x < 6
[Hard] Percent Increase Problem
- EN: If a shirt costs $50 and increases by 20%, what is its new price?
- FR: Si une chemise coûte 50 $ et augmente de 20 %, quel est son nouveau prix ?
- Choices: A) $55 B) $60 C) $65 D) $70
- Hint: Multiply the original price by the increase.
- Steps:
- Calculate percentage and add to the original.
- Answer: $60
[Hard] Area of Circle
- EN: What is the area of a circle with a radius of 3 cm? (Use π = 3.14)
- FR: Quelle est l'aire d'un cercle ayant un rayon de 3 cm ? (Utilise π = 3.14)
- Choices: A) 28.26 cm² B) 30.78 cm² C) 31.68 cm² D) 25.12 cm²
- Hint: Use Area = πr².
- Steps:
- Square the radius and multiply by π.
- Answer: 28.26 cm²
[Hard] Graphing Linear Equations
- EN: How would you graph the equation y = 2x + 3?
- FR: Comment tracerais-tu l'équation y = 2x + 3 ?
- Choices: A) Points (0,3), (1,5) B) Points (0,2), (1,4) C) Points (1,2), (3,8) D) None of the above
- Hint: Find y-intercept and slope.
- Steps:
- Use intercept and slope to plot points.
- Answer: Points (0,3), (1,5)
[Hard] Standard Form of the Equation
- EN: What is the standard form of the linear equation that passes through (3,4) and has a slope of 2?
- FR: Quelle est la forme standard de l'équation linéaire qui passe par (3,4) et a une pente de 2 ?
- Choices: A) y = 2x + 2 B) y - 4 = 2(x - 3) C) 2x - y = -2 D) None of these
- Hint: Use point-slope form and convert.
- Steps:
- Apply formulas and rearrange.
- Answer: y - 4 = 2(x - 3)
[Hard] Solving Simultaneous Equations
- EN: Solve for x and y: 2x + y = 10 and x - y = 4.
- FR: Résous pour x et y : 2x + y = 10 et x - y = 4.
- Choices: A) x=6, y=-2 B) x=5, y=0 C) x=4, y=2 D) x=3, y=4
- Hint: Use substitution or elimination methods.
- Steps:
- Isolate y in one equation and substitute.
- Answer: x=6, y=-2
[Hard] Evaluating Using Functions
- EN: If f(x) = x² and you need to find f(3), what is the answer?
- FR: Si f(x) = x² et que vous devez trouver f(3), quelle est la réponse ?
- Choices: A) 6 B) 9 C) 3 D) 12
- Hint: Just substitute 3 into f(x).
- Steps:
- Calculate the function output.
- Answer: 9
[Hard] Completing the Square
- EN: What is the vertex of the parabola y = x² - 6x + 8?
- FR: Quelle est le sommet de la parabole y = x² - 6x + 8 ?
- Choices: A) (3,-1) B) (3,1) C) (2,-8) D) (3,8)
- Hint: Use the vertex formula.
- Steps:
- Calculate using vertex form.
- Answer: (3,-1)
Grade 10 Problems
[Easy] Evaluating Expressions
- EN: What is 2x + 3 if x = 4?
- FR: Que vaut 2x + 3 si x = 4 ?
- Choices: A) 10 B) 12 C) 9 D) 11
- Hint: Substitute and perform the arithmetic.
- Steps:
- Replace x with 4.
- Answer: 11
[Easy] Solving Simple Equations
- EN: If 5x = 20, what is x?
- FR: Si 5x = 20, quelle est x ?
- Choices: A) 3 B) 5 C) 4 D) 6
- Hint: Think about dividing both sides by 5.
- Steps:
- Isolate x using division.
- Answer: 4
[Easy] Simplifying Expressions
- EN: What is 3(a + 4)?
- FR: Que vaut 3(a + 4) ?
- Choices: A) 3a + 4 B) 3a + 12 C) 7a D) 12
- Hint: Distribute 3 to both terms.
- Steps:
- Apply distributive property.
- Answer: 3a + 12
[Easy] Identifying Roots
- EN: What are the roots of the equation x² - 9 = 0?
- FR: Quelles sont les racines de l'équation x² - 9 = 0 ?
- Choices: A) 3 and -3 B) 9 C) 0 D) 6
- Hint: Use factoring to solve.
- Steps:
- Factor the equation and find roots.
- Answer: 3 and -3
[Medium] Graphing Linear Inequalities
- EN: What is the solution set for the inequality y > 2x + 1?
- FR: Quel est l'ensemble de solutions de l'inégalité y > 2x + 1 ?
- Choices: A) Just above the line B) Below the line C) On the line D) None of the above
- Hint: Consider the line's slope and intercept.
- Steps:
- Analyze and determine shading for solutions.
- Answer: Just above the line
[Medium] Finding the Equation of a Line
- EN: What is the equation of the line with slope 2 and y-intercept 3?
- FR: Quelle est l'équation de la ligne avec une pente de 2 et un ordonnée à l'origine de 3 ?
- Choices: A) y = 2x + 3 B) y = 3x + 2 C) y = 3 D) y = 2 + 3x
- Hint: Use the slope-intercept form y = mx + b.
- Steps:
- Write equation using slope and intercept.
- Answer: y = 2x + 3
[Medium] Using the Quadratic Formula
- EN: Solve for x using the quadratic formula: x² + 4x + 3 = 0.
- FR: Résous pour x en utilisant la formule quadratique : x² + 4x + 3 = 0.
- Choices: A) x = -1 and -3 B) x = 1 and 3 C) x = 0 D) x = 2 and -2
- Hint: Identify coefficients for the formula.
- Steps:
- Apply the quadratic formula method.
- Answer: x = -1 and -3
[Medium] Finding the Vertex
- EN: What is the vertex of the parabola y = x² - 4x + 5?
- FR: Quel est le sommet de la parabole y = x² - 4x + 5 ?
- Choices: A) (2, 1) B) (5, 0) C) (4, 0) D) (1, 4)
- Hint: Use vertex formula or complete the square.
- Steps:
- Determine x-coordinate and calculate y-coordinate.
- Answer: (2, 1)
[Hard] Solving Real-World Word Problems with Systems
- EN: You buy 3 notebooks and 2 pens for $10. If each notebook costs $2, what is the cost of one pen?
- FR: Tu achètes 3 carnets et 2 stylos pour 10 $. Si chaque carnet coûte 2 $, combien coûte un stylo ?
- Choices: A) $1 B) $3 C) $2 D) $2.50
- Hint: Form at least one equation from the provided data.
- Steps:
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