Daily Math — 2026-04-25

• EN: How many loonies are there in 4 loonies?
• FR: Combien de pièces de 1 $ y a-t-il dans 4 $ ?
• Choices: A) 2 B) 4 C) 6 D) 3
• Hint: Think of how many $1 coins are in $4.
• Steps:
  • count the loonies
  • write down the total
• Answer: 4

• EN: If you have 2 dimes and you get 3 more, how many dimes do you have?
• FR: Si tu as 2 dimes et que tu en obtiens 3 de plus, combien de dimes as-tu ?
• Choices: A) 5 B) 4 C) 3 D) 6
• Hint: Add the dimes together.
• Steps:
  • start with 2
  • add 3 more
• Answer: 5

• EN: You had 10 nickels, and you gave away 2. How many do you have left?
• FR: Tu avais 10 nickels et tu en as donné 2. Combien t'en reste-t-il ?
• Choices: A) 6 B) 8 C) 7 D) 5
• Hint: Take away from 10.
• Steps:
  • start at 10
  • remove 2
• Answer: 8

[Easy] Skip Counting by 5s

• EN: Count by 5s up to 20. What is the last number?
• FR: Compte par 5 jusqu'à 20. Quel est le dernier nombre ?
• Choices: A) 25 B) 20 C) 15 D) 30
• Hint: Think of 5, 10, 15, and...
• Steps:
  • count by 5s
  • find the last number
• Answer: 20

[Medium] Comparing Numbers

• EN: Which is greater: 15 or 12?
• FR: Lequel est plus grand : 15 ou 12 ?
• Choices: A) 12 B) 15 C) both are equal D) none
• Hint: Think about their values.
• Steps:
  • look at each number
  • decide which is more
• Answer: 15

• EN: If a pencil is 10cm long and a pen is 8cm long, which is longer?
• FR: Si un crayon mesure 10 cm et qu'un stylo 8 cm, lequel est le plus long ?
• Choices: A) pencil B) pen C) they are the same D) none
• Hint: Compare the lengths.
• Steps:
  • measure the pencil
  • measure the pen
• Answer: 10

• EN: If it's 3:00 PM now, what time will it be in half an hour?
• FR: Si il est 15h00 maintenant, quelle heure sera-t-il dans une demi-heure ?
• Choices: A) 3:30 PM B) 4:00 PM C) 2:30 PM D) 5:00 PM
• Hint: Think about adding 30 minutes to the time.
• Steps:
  • start at 3:00 PM
  • add 30 minutes
• Answer: 3:30

[Medium] Coin Counting

• EN: How many pennies make 50 cents?
• FR: Combien de sous en font cinquante centimes ?
• Choices: A) 40 B) 50 C) 60 D) 70
• Hint: Count by 1 cent coins.
• Steps:
  • divide 50 by 1
  • count the total pennies
• Answer: 50

[Hard] Simple Patterns

• EN: If the pattern is 2, 4, 6, what is the next number?
• FR: Si le motif est 2, 4, 6, quel est le prochain nombre ?
• Choices: A) 8 B) 7 C) 10 D) 9
• Hint: What are you adding each time?
• Steps:
  • look for the pattern
  • find the next number
• Answer: 8

• EN: What is half of 8?
• FR: Quelle est la moitié de 8 ?
• Choices: A) 4 B) 3 C) 2 D) 5
• Hint: Think of dividing it into equal parts.
• Steps:
  • divide 8 by 2
  • find the answer
• Answer: 4

• EN: You have 3 quarters and get 2 more. How many quarters do you have?
• FR: Tu as 3 pièces de 25 cents et tu en obtiens 2 de plus. Combien as-tu de pièces ?
• Choices: A) 4 B) 5 C) 6 D) 7
• Hint: Add the quarters together.
• Steps:
  • start with 3
  • add 2
• Answer: 5

• EN: If you have 4 dimes, how much money do you have in cents?
• FR: Si tu as 4 dimes, combien d'argent as-tu en cents ?
• Choices: A) 20 B) 40 C) 30 D) 10
• Hint: Remember each dime is worth 10 cents.
• Steps:
  • count the value of dimes
  • multiply by 10
• Answer: 40

• EN: What is 8 + 7?
• FR: Quel est 8 + 7 ?
• Choices: A) 15 B) 14 C) 13 D) 12
• Hint: Add the two numbers together.
• Steps:
  • write down the numbers
  • add them
• Answer: 15

[Easy] Telling Time

• EN: What time is it if the hour hand is on 3 and the minute hand is on 12?
• FR: Quelle heure est-il si l'aiguille des heures est sur 3 et l'aiguille des minutes est sur 12 ?
• Choices: A) 2:00 B) 3:00 C) 4:00 D) 1:00
• Hint: Look at the hour hand.
• Steps:
  • focus on the hour
  • see where the minute hand points
• Answer: 3:00

[Medium] Length Comparison

• EN: If a ribbon is 20 cm long and a string is 15 cm long, which is longer?
• FR: Si un ruban mesure 20 cm et qu'une ficelle mesure 15 cm, lequel est le plus long ?
• Choices: A) ribbon B) string C) both are the same D) none
• Hint: Compare their lengths.
• Steps:
  • check the lengths
  • decide which one is longer
• Answer: 20

• EN: How many nickels are in 50 cents?
• FR: Combien de nickels y a-t-il dans 50 cents ?
• Choices: A) 10 B) 5 C) 15 D) 20
• Hint: Each nickel is worth 5 cents.
• Steps:
  • divide 50 by 5
  • find the number of nickels
• Answer: 10

• EN: You have 60 cents and spend 20 cents. How much is left?
• FR: Tu as 60 cents et tu dépenses 20 cents. Combien te reste-t-il ?
• Choices: A) 30 B) 40 C) 20 D) 50
• Hint: Subtract the spent amount from total.
• Steps:
  • start with 60
  • take away 20
• Answer: 40

[Medium] Measuring Lengths

• EN: The pencil is 15 cm long, and the eraser is 5 cm long. How much longer is the pencil?
• FR: Le crayon mesure 15 cm et la gomme mesure 5 cm. Combien le crayon est-il plus long ?
• Choices: A) 10 B) 7 C) 5 D) 12
• Hint: Subtract the lengths.
• Steps:
  • take 15 cm
  • subtract 5 cm
• Answer: 10

[Hard] Elapsed Time

• EN: If a movie starts at 6:30 PM and lasts 1 hour 45 minutes, what time does it end?
• FR: Si un film commence à 18h30 et dure 1 heure 45 minutes, à quelle heure se termine-t-il ?
• Choices: A) 8:15 PM B) 7:30 PM C) 8:00 PM D) 9:15 PM
• Hint: Add hours and minutes together.
• Steps:
  • start at 6:30 PM
  • add 1 hour and 45 minutes
• Answer: 8:15

• EN: How many 5-cent coins make up 1 dollar?
• FR: Combien de pièces de 5 cents font 1 dollar ?
• Choices: A) 20 B) 15 C) 25 D) 30
• Hint: Think about the value and divide.
• Steps:
  • divide 100 cents by 5 cents
  • find the number of coins
• Answer: 20

• EN: What is 3 × 2?
• FR: Quel est 3 × 2 ?
• Choices: A) 4 B) 5 C) 6 D) 7
• Hint: Think of adding 3 two times.
• Steps:
  • multiply 3 by 2
  • check the result
• Answer: 6

• EN: What is 14 divided by 3?
• FR: Que fait 14 divisé par 3 ?
• Choices: A) 5 R1 B) 4 R2 C) 6 R2 D) 7 R0
• Hint: Count how many times 3 goes into 14.
• Steps:
  • divide 14 by 3
  • find the whole number and remainder
• Answer: 4

• EN: What is the area of a rectangle with a length of 4 cm and a width of 5 cm?
• FR: Quelle est la surface d'un rectangle de 4 cm de long et 5 cm de large ?
• Choices: A) 20 B) 12 C) 15 D) 10
• Hint: Multiply length by width.
• Steps:
  • multiply 4 by 5
  • find the area
• Answer: 20

[Easy] Basic Time

• EN: If the clock shows 2:00 PM, what is this time in the afternoon?
• FR: Si l'horloge indique 14h00, quelle heure est-ce l'après-midi ?
• Choices: A) 1:00 PM B) 2:00 PM C) 3:00 PM D) 4:00 PM
• Hint: In the afternoon, what time is it represented by the clock?
• Steps:
  • look at the hour
  • confirm PM time
• Answer: 2:00

[Medium] Comparing Fractions

• EN: Which fraction is larger, 1/2 or 1/4?
• FR: Quelle fraction est plus grande, 1/2 ou 1/4 ?
• Choices: A) 1/2 B) 1/4 C) same D) none
• Hint: Think about the size of each piece.
• Steps:
  • compare slices
  • decide which is more
• Answer: 1/2

• EN: What is 12 × 7?
• FR: Quel est 12 × 7 ?
• Choices: A) 80 B) 90 C) 84 D) 78
• Hint: Use grouping to multiply.
• Steps:
  • multiply the two numbers
  • calculate the total
• Answer: 84

• EN: What is 56 - 29?
• FR: Quel est 56 - 29 ?
• Choices: A) 28 B) 26 C) 27 D) 25
• Hint: Take away from 56.
• Steps:
  • subtract 29 from 56
  • find the difference
• Answer: 27

[Medium] Finding Area

• EN: A square has sides of 6 cm. What is its area?
• FR: Un carré a des côtés de 6 cm. Quelle est sa surface ?
• Choices: A) 30 B) 36 C) 24 D) 42
• Hint: Multiply the side by itself.
• Steps:
  • find area by multiplying
  • calculate the result
• Answer: 36

[Hard] Long Division

• EN: How many times does 12 go into 144?
• FR: Combien de fois 12 va-t-il dans 144 ?
• Choices: A) 11 B) 10 C) 12 D) 13
• Hint: Divide 144 by 12.
• Steps:
  • set up division
  • find the whole number
• Answer: 12

• EN: If a train leaves at 2:15 PM and arrives at 3:45 PM, how long is the trip?
• FR: Si un train part à 14h15 et arrive à 15h45, combien de temps dure le voyage ?
• Choices: A) 2 hours B) 1 hour and 30 min C) 1 hour and 15 min D) 1 hour
• Hint: Find the difference between the times.
• Steps:
  • start from the departure time
  • calculate time taken for trip
• Answer: 1 hour and 30 min

• EN: What is 235 + 456?
• FR: Quel est 235 + 456 ?
• Choices: A) 690 B) 700 C) 680 D) 650
• Hint: Add the numbers together.
• Steps:
  • line up the numbers
  • perform the addition
• Answer: 691

• EN: What is 9 × 3?
• FR: Quel est 9 × 3 ?
• Choices: A) 27 B) 26 C) 25 D) 24
• Hint: Think of 9 added three times.
• Steps:
  • multiply the numbers
  • check your result
• Answer: 27

• EN: What is 1/4 + 1/4?
• FR: Quelle est 1/4 + 1/4 ?
• Choices: A) 1/2 B) 1/4 C) 1/3 D) 1
• Hint: Add the fractional parts.
• Steps:
  • add the numerators
  • keep the same denominator
• Answer: 1/2

[Easy] Finding Volume

• EN: A box is 3 cm wide, 2 cm high, and 5 cm long. What is its volume?
• FR: Une boîte mesure 3 cm de large, 2 cm de haut et 5 cm de long. Quel est son volume ?
• Choices: A) 30 B) 31 C) 20 D) 15
• Hint: Use length × width × height.
• Steps:
  • find all dimensions
  • multiply to get volume
• Answer: 30

[Medium] Multi-digit Multiplication

• EN: What is 24 × 3?
• FR: Quel est 24 × 3 ?
• Choices: A) 72 B) 75 C) 76 D) 74
• Hint: Multiply as a group.
• Steps:
  • set up multiplication
  • calculate
• Answer: 72

• EN: What is 3/4 - 1/4?
• FR: Quelle est 3/4 - 1/4 ?
• Choices: A) 2/4 B) 1/4 C) 3/4 D) 0
• Hint: Subtract the numerators.
• Steps:
  • start with 3/4
  • remove 1/4
• Answer: 2/4

• EN: What is 25% of 200?
• FR: Quel est 25% de 200 ?
• Choices: A) 50 B) 40 C) 60 D) 70
• Hint: Find one quarter of the total.
• Steps:
  • divide 200 by 4
  • confirm the answer
• Answer: 50

[Medium] Finding Area of a Triangle

• EN: What is the area of a triangle with a base of 4 cm and a height of 5 cm?
• FR: Quelle est la surface d'un triangle avec une base de 4 cm et une hauteur de 5 cm ?
• Choices: A) 10 B) 20 C) 15 D) 12
• Hint: Use 1/2 x base x height.
• Steps:
  • multiply base by height
  • divide the product by 2
• Answer: 10

[Hard] Multi-digit Division

• EN: What is 144 ÷ 12?
• FR: Quel est 144 ÷ 12 ?
• Choices: A) 10 B) 12 C) 11 D) 13
• Hint: Divide the number.
• Steps:
  • set up long division
  • calculate
• Answer: 12

• EN: What is the total volume of a rectangular prism that is 4 cm wide, 5 cm high, and 6 cm long?
• FR: Quel est le volume total d'un prisme rectangulaire qui mesure 4 cm de large, 5 cm de haut et 6 cm de long ?
• Choices: A) 120 B) 60 C) 80 D) 50
• Hint: Volume formula is length × width × height.
• Steps:
  • calculate using the formula
  • find the total
• Answer: 120

• EN: What is 1/3 × 3?
• FR: Quel est 1/3 × 3 ?
• Choices: A) 1 B) 2 C) 3 D) 0
• Hint: Think of multiplying by a whole number.
• Steps:
  • multiply the fractions
  • simplify if needed
• Answer: 1

• EN: If there are 2 apples and 3 oranges, what is the ratio of apples to oranges?
• FR: S'il y a 2 pommes et 3 oranges, quel est le rapport pommes/oranges ?
• Choices: A) 1:2 B) 2:3 C) 3:2 D) 1:3
• Hint: Compare the counts.
• Steps:
  • write the first quantity
  • write the second quantity
• Answer: 2:3

• EN: What is -3 + 5?
• FR: Quel est -3 + 5 ?
• Choices: A) 1 B) 2 C) 3 D) 0
• Hint: Think about moving to the right on a number line.
• Steps:
  • add -3 to 5
  • check the total
• Answer: 2

• EN: What is 10% of 150?
• FR: Quel est 10% de 150 ?
• Choices: A) 15 B) 10 C) 20 D) 30
• Hint: Divide by 10.
• Steps:
  • calculate 10%
  • check your answer
• Answer: 15

• EN: The ratio of boys to girls in a class is 2:3. If there are 30 students, how many are boys?
• FR: Le rapport garçons/filles dans une classe est de 2:3. S'il y a 30 élèves, combien de garçons y a-t-il ?
• Choices: A) 12 B) 16 C) 18 D) 20
• Hint: Find parts of the ratio and the total.
• Steps:
  • add the ratio parts first
  • use that to compare to total
• Answer: 12

• EN: If a drink costs $2.50 and you buy 4, how much do you spend?
• FR: Si une boisson coûte 2,50 $ et que tu en achètes 4, combien dépenses-tu ?
• Choices: A) $8.00 B) $9.00 C) $10.00 D) $11.00
• Hint: Multiply the cost by the quantity.
• Steps:
  • multiply 2.50 by 4
  • get total cost
• Answer: $10.00

• EN: If x + 4 = 10, what is x?
• FR: Si x + 4 = 10, quelle est la valeur de x ?
• Choices: A) 5 B) 6 C) 4 D) 3
• Hint: Think about what you need to subtract from 10.
• Steps:
  • isolate x
  • solve the equation
• Answer: 6

• EN: What is -6 - 4?
• FR: Quel est -6 - 4 ?
• Choices: A) -10 B) -9 C) -8 D) -7
• Hint: Take away 4 from -6.
• Steps:
  • add the negative integers
  • get the result
• Answer: -10

• EN: What is 3 + 4 × 2?
• FR: Quel est 3 + 4 × 2 ?
• Choices: A) 11 B) 14 C) 10 D) 15
• Hint: Remember to multiply before adding.
• Steps:
  • perform multiplication first
  • then addition
• Answer: 11

• EN: What is 3/4 ÷ 1/2?
• FR: Quelle est 3/4 ÷ 1/2 ?
• Choices: A) 1 B) 1.5 C) 0.75 D) 2
• Hint: Find the reciprocal and multiply.
• Steps:
  • flip the second fraction
  • multiply the fractions
• Answer: 1.5

• EN: What is -5 + 3?
• FR: Quel est -5 + 3 ?
• Choices: A) -2 B) -3 C) -1 D) 0
• Hint: Think about how negative numbers work.
• Steps:
  • add the integers together
  • find the total
• Answer: -2

• EN: What is 50% of 80?
• FR: Quel est 50% de 80 ?
• Choices: A) 30 B) 40 C) 50 D) 60
• Hint: Think of half of the number.
• Steps:
  • divide the number by 2
  • find the answer
• Answer: 40

• EN: If there are 3 boys and 5 girls in a class, what is the ratio of boys to girls?
• FR: S'il y a 3 garçons et 5 filles dans une classe, quel est le rapport garçons/filles ?
• Choices: A) 3:5 B) 5:3 C) 1:2 D) 4:3
• Hint: Remember to write the boys first.
• Steps:
  • write the numbers in order
  • simplify if possible
• Answer: 3:5

[Easy] Integer Subtraction

• EN: What is 8 - 10?
• FR: Quel est 8 - 10 ?
• Choices: A) 2 B) -2 C) 0 D) 1
• Hint: What do you get when you take away more?
• Steps:
  • do the subtraction
  • find the result
• Answer: -2

[Medium] Simplifying Fractions

• EN: What is 8/12 simplified?
• FR: Quelle est 8/12 simplifié ?
• Choices: A) 4/6 B) 2/3 C) 3/4 D) 1/2
• Hint: Find the greatest common factor.
• Steps:
  • divide both terms by 4
  • get the simplified version
• Answer: 2/3

• EN: A rectangle has a length of 10 cm and a width of 4 cm. What is its area?
• FR: Un rectangle mesure 10 cm de long et 4 cm de large. Quelle est sa surface ?
• Choices: A) 14 B) 24 C) 40 D) 44
• Hint: Area formula is length × width.
• Steps:
  • multiply 10 by 4
  • find the area
• Answer: 40

• EN: What is the fraction representation of the ratio 2:5?
• FR: Quelle est la représentation fractionnaire du rapport 2:5 ?
• Choices: A) 2/5 B) 5/2 C) 1/5 D) 2/3
• Hint: Remember the format of ratios as fractions.
• Steps:
  • write the ratio as a fraction
  • confirm your result
• Answer: 2/5

[Medium] Geometry - Finding Perimeter

• EN: What is the perimeter of a rectangle with lengths of 6 cm and 4 cm?
• FR: Quel est le périmètre d'un rectangle dont les côtés mesurent 6 cm et 4 cm ?
• Choices: A) 20 B) 18 C) 22 D) 24
• Hint: Add all sides together.
• Steps:
  • calculate using P = 2(l + w)
  • find the total
• Answer: 20

[Hard] Solving a Linear Equation

• EN: If 3x + 5 = 20, what is x?
• FR: Si 3x + 5 = 20, quelle est la valeur de x ?
• Choices: A) 5 B) 6 C) 4 D) 3
• Hint: Isolate x by subtracting and dividing.
• Steps:
  • subtract 5 from both sides
  • divide by 3
• Answer: 5

• EN: If you have a standard deck of cards, what is the probability of drawing an Ace?
• FR: Si tu as un jeu de cartes standard, quelle est la probabilité de tirer un as ?
• Choices: A) 1/13 B) 1/26 C) 1/52 D) 1/4
• Hint: Consider the number of total cards versus Aces.
• Steps:
  • count the number of Aces
  • determine total cards
• Answer: 1/13

• EN: What is -4 × 3?
• FR: Quel est -4 × 3 ?
• Choices: A) -12 B) 12 C) 1 D) -1
• Hint: Negative times positive gives a negative result.
• Steps:
  • multiply the integers
  • check the sign
• Answer: -12

• EN: What is the simplified form of 30/45?
• FR: Quelle est la forme simplifiée de 30/45 ?
• Choices: A) 2/3 B) 3/2 C) 4/6 D) 6/9
• Hint: Find a common factor.
• Steps:
  • simplify by dividing by 15
  • write the result
• Answer: 2/3

• 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 which number times itself gives 49.
• Steps:
  • consider root calculations
  • find the number
• Answer: 7

[Easy] Area of Square

• EN: If a square has a side length of 5 cm, what is its area?
• FR: Si un carré a une longueur de côté de 5 cm, quelle est sa surface ?
• Choices: A) 20 B) 25 C) 15 D) 30
• Hint: Area is side × side.
• Steps:
  • calculate 5 × 5
  • provide the area result
• Answer: 25

[Medium] Solving for x

• EN: If 2x - 4 = 10, what is x?
• FR: Si 2x - 4 = 10, quelle est la valeur de x ?
• Choices: A) 5 B) 7 C) 10 D) 3
• Hint: Isolate x by adding and dividing.
• Steps:
  • add 4 to both sides
  • divide by 2
• Answer: 7

• EN: What is the least common multiple of 4 and 6?
• FR: Quel est le plus petit multiple commun de 4 et 6 ?
• Choices: A) 12 B) 24 C) 18 D) 10
• Hint: Find multiples for both.
• Steps:
  • list multiples
  • identify the lowest common
• Answer: 12

• EN: Which of the following is a proper fraction: 3/4, 5/5, or 8/3?
• FR: Laquelle des fractions suivantes est une fraction propre : 3/4, 5/5 ou 8/3 ?
• Choices: A) 3/4 B) 5/5 C) 8/3 D) None
• Hint: Think about the numerator and denominator relationship.
• Steps:
  • evaluate each fraction
  • determine proper or improper
• Answer: 3/4

[Medium] Surface Area Calculation

• EN: What is the surface area of a 2 cm by 3 cm rectangle?
• FR: Quelle est la surface d'un rectangle de 2 cm de large et 3 cm de long ?
• Choices: A) 6 B) 5 C) 7 D) 2
• Hint: Use the formula length × width.
• Steps:
  • multiply dimensions
  • find the area
• Answer: 6

[Hard] Pythagorean Theorem

• EN: A right triangle has legs measuring 3 cm and 4 cm. What is the length of the hypotenuse?
• FR: Un triangle rectangle a des côtés mesurant 3 cm et 4 cm. Quelle est la longueur de l'hypoténuse ?
• Choices: A) 5 cm B) 6 cm C) 7 cm D) 8 cm
• Hint: Use a² + b² = c².
• Steps:
  • square the legs
  • sum and take the square root
• Answer: 5

• EN: What is the mean of the following numbers: 4, 8, 6, 10?
• FR: Quelle est la moyenne des nombres suivants : 4, 8, 6, 10 ?
• Choices: A) 7 B) 6 C) 8 D) 5
• Hint: Add all and divide by count.
• Steps:
  • find the sum
  • divide by the number of values
• Answer: 7

• EN: What is the value of x² when x = 3?
• FR: Quelle est la valeur de x² quand x = 3 ?
• Choices: A) 6 B) 9 C) 12 D) 3
• Hint: Multiply x by itself.
• Steps:
  • substitute x in the polynomial
  • calculate the result
• Answer: 9

• EN: Which is greater, 7 or 10?
• FR: Lequel est plus grand, 7 ou 10 ?
• Choices: A) 7 B) 10 C) same D) both
• Hint: Compare the two numbers.
• Steps:
  • look at their values
  • make the comparison
• Answer: 10

• EN: What is 8y when y = 2?
• FR: Que fait 8y quand y = 2 ?
• Choices: A) 14 B) 16 C) 15 D) 12
• Hint: Substitute and calculate.
• Steps:
  • substitute y in the expression
  • solve for the value
• Answer: 16

[Easy] Patterns Identification

• EN: If the pattern is 1, 4, 7, what is the next number?
• FR: Si le motif est 1, 4, 7, quel est le prochain nombre ?
• Choices: A) 10 B) 11 C) 12 D) 9
• Hint: Look for added values.
• Steps:
  • observe the increments
  • determine the next number
• Answer: 10

[Medium] Solving Quadratic Equations

• EN: Solve for x if x² - 16 = 0.
• FR: Trouve x si x² - 16 = 0.
• Choices: A) ±4 B) 4 C) 2 D) 0
• Hint: Think of the roots of the equation.
• Steps:
  • add 16 to both sides
  • find the square roots
• Answer: ±4

• EN: Solve the inequality 5x > 15.
• FR: Résous l'inégalité 5x > 15.
• Choices: A) x > 3 B) x < 3 C) x = 3 D) x ≥ 3
• Hint: Isolate x.
• Steps:
  • divide both sides by 5
  • determine the range
• Answer: x > 3

• EN: What is the slope of the line through the points (1, 2) and (3, 4)?
• FR: Quel est le gradient 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.
• Steps:
  • calculate rise/run
  • simplify the result
• Answer: 1

[Medium] Factoring

• EN: Factor the expression x² - 9.
• FR: Factorise l'expression x² - 9.
• Choices: A) (x - 3)(x + 3) B) (x - 4)(x + 2) C) (x - 1)(x + 9) D) (x - 5)(x + 5)
• Hint: Think of the difference of squares.
• Steps:
  • identify factors based on identity
  • write in the factored form
• Answer: (x - 3)(x + 3)

[Hard] Finding the Angle

• EN: If the angles of a triangle are in a ratio of 2:3:4, what is the largest angle?
• FR: Si les angles d'un triangle sont dans un rapport de 2:3:4, quel est l'angle le plus grand ?
• Choices: A) 60° B) 80° C) 90° D) 100°
• Hint: Set up the ratio relationship.
• Steps:
  • use total angles sum to find x
  • determine the largest from ratio
• Answer: 80°

• EN: Solve for x in the equation x² - 6x + 8 = 0 using the quadratic formula.
• FR: Résous x dans l'équation x² - 6x + 8 = 0 en utilisant la formule quadratique.
• Choices: A) 2, 4 B) 1, 6 C) -2, 4 D) 3, 3
• Hint: Use the formula x = (-b ± √(b² - 4ac)) / 2a.
• Steps:
  • identify a, b, c values
  • substitute and calculate
• Answer: 2, 4

• EN: What is the value of f(3) if f(x) = 2x + 4?
• FR: Quelle est la valeur de f(3) si f(x) = 2x + 4 ?
• Choices: A) 7 B) 6 C) 8 D) 10
• Hint: Substitute x in the function.
• Steps:
  • replace x with 3
  • calculate the result
• Answer: 10

• EN: What is the slope of the line y = 2x + 1?
• FR: Quelle est la pente de la ligne y = 2x + 1 ?
• Choices: A) 1 B) 2 C) 3 D) 0
• Hint: Identify the 'm' in y = mx + b.
• Steps:
  • look at the equation form
  • extract slope
• Answer: 2

• EN: Factor x² - 16.
• FR: Factorise x² - 16.
• Choices: A) (x - 4)(x + 4) B) (x - 2)(x + 2) C) (x + 4)² D) (x + 2)²
• Hint: Think of a difference of squares.
• Steps:
  • identify factors of the equation
  • present in factored form
• Answer: (x - 4)(x + 4)

[Easy] Basic Quadratic Roots

• EN: What are the roots of x² - 5x + 6 = 0?
• FR: Quelles sont les racines de x² - 5x + 6 = 0 ?
• Choices: A) (2, 3) B) (0, 6) C) (1, 5) D) (3, 4)
• Hint: Think about factoring.
• Steps:
  • factor the equation first
  • determine roots from factors
• Answer: (2, 3)

[Medium] Solving Quadratic Equations

• EN: If x² - 4x + 3 = 0, what are the roots?
• FR: Si x² - 4x + 3 = 0, quelles sont les racines ?
• Choices: A) (1, 2) B) (3, 4) C) (2, 1) D) (3, 7)
• Hint: Factor the quadratic expression.
• Steps:
  • identify the quadratic
  • extract factor roots for solution
• Answer: (1, 3)

• EN: What is the standard form of a circle's equation with center at (h,k) and radius r?
• FR: Quelle est la forme standard de l'équation d'un cercle avec le centre en (h,k) et le rayon r ?
• Choices: A) (x-h)² + (y-k)² = r² B) (x+k)² + (y-h)² = r² C) (x-h)² - (y+k)² = r²
• Hint: Remember the circle equation structure.
• Steps:
  • remember the general equation format
  • write down the circle format
• Answer: (x-h)² + (y-k)² = r²

• EN: If a bacteria population doubles every hour and starts with 500, how many will there be after 3 hours?
• FR: Si une population de bactéries double chaque heure et commence avec 500, combien y aura-t-il après 3 heures ?
• Choices: A) 2000 B) 4000 C) 8000 D) 1000
• Hint: Use the doubling rule.
• Steps:
  • apply growth formula for doubling
  • calculate the final amount
• Answer: 4000

• EN: What is the volume of a sphere with a radius of 3 cm? (Use V = 4/3πr³)
• FR: Quel est le volume d'une sphère avec un rayon de 3 cm ? (Utilise V = 4/3πr³)
• Choices: A) 36π B) 12π C) 18π D) 10π
• Hint: Remember to cube the radius.
• Steps:
  • plug in radius in the formula
  • calculate the total
• Answer: 36π

• EN: Find the roots of the polynomial x³ - 3x² + 2x = 0.
• FR: Trouve les racines du polynôme x³ - 3x² + 2x = 0.
• Choices: A) (0, 1, 2) B) (1, 1, 2) C) (3, 2, 1) D) (0, 2, 3)
• Hint: Factor out the common term.
• Steps:
  • factor out the equation
  • find roots from resulting factors
• Answer: (0, 1, 2)

• EN: Solve the system: 2x + 3y = 12 and 4x - y = 1.
• FR: Résous le système: 2x + 3y = 12 et 4x - y = 1.
• Choices: A) x = 2, y = 2 B) x = 3, y = 0 C) x = 1, y = 4 D) x = 0.5, y = 3
• Hint: Use substitution or elimination methods.
• Steps:
  • isolate variables in one equation
  • substitute back into the other equation
• Answer: x = 2, y = 2

• EN: What is f(2) if f(x) = 3x + 2?
• FR: Quelle est f(2) si f(x) = 3x + 2 ?
• Choices: A) 5 B) 6 C) 8 D) 7
• Hint: Substitute x in the function.
• Steps:
  • replace x with 2
  • calculate the result
• Answer: 8

• EN: What is log10(100)?
• FR: Quelle est log10(100) ?
• Choices: A) 1 B) 2 C) 10 D) 3
• Hint: Think about what power of 10 gives you 100.
• Steps:
  • recognize properties of logarithm
  • compute the power
• Answer: 2

• EN: Factor x² - 9.
• FR: Facteur x² - 9.
• Choices: A) (x - 3)(x + 3) B) (x - 2)² C) (x + 2)(x + 2)
• Hint: Think of the difference of squares.
• Steps:
  • identify factors based on identity
  • write the result in factored form
• Answer: (x - 3)(x + 3)

[Easy] Finding Roots

• EN: What are the roots of x² - 4x + 3 = 0?
• FR: Quelles sont les racines de x² - 4x + 3 = 0 ?
• Choices: A) (3, 1) B) (2, 2) C) (2, 1) D) (3, 2)
• Hint: Factor the quadratic.
• Steps:
  • solve using factor method
  • get roots form
• Answer: (3, 1)

[Medium] Solving Quadratic Functions

• EN: Solve for x in the equation 2x² + 3x - 5 = 0.
• FR: Résous pour x dans l'équation 2x² + 3x - 5 = 0.
• Choices: A) 1, -2.5 B) -1, 2 C) 2, 5 D) -2, 3
• Hint: Use the quadratic formula.
• Steps:
  • identify coefficients a, b, c
  • apply formula to find roots
• Answer: 1, -2.5

• EN: Solve the system of equations: 2x + 3y = 6 and 4x - y = 5.
• FR: Résous le système d'équations: 2x + 3y = 6 et 4x - y = 5.
• Choices: A) x=1, y=2 B) x=2, y=0 C) x=0.5, y=1 D) x=0, y=-1
• Hint: Use substitution or elimination.
• Steps:
  • isolate variable from one equation
  • substitute into second equation
• Answer: x = 1, y = 2

• EN: What is the value of g(x) if g(x) = 2³?
• FR: Quelle est la valeur de g(x) si g(x) = 2³ ?
• Choices: A) 4 B) 8 C) 6 D) 10
• Hint: Find 2 raised to the power.
• Steps:
  • calculate powers of base
  • get the result
• Answer: 8

[Medium] Probability

• EN: A card is drawn from a standard deck. What is the probability that it is a heart?
• FR: Une carte est tirée d'un jeu standard. Quelle est la probabilité qu'il s'agisse d'un cœur ?
• Choices: A) 1/4 B) 1/13 C) 1/26 D) 1/52
• Hint: Find the ratio of hearts to total cards.
• Steps:
  • calculate hearts versus total cards
  • find the probability fraction
• Answer: 1/4

[Hard] Logarithmic Identities

• EN: What is log2(8)?
• FR: Quelle est log2(8) ?
• Choices: A) 1 B) 2 C) 3 D) 4
• Hint: Think of powers of 2.
• Steps:
  • recognize logarithmic definition
  • calculate the base results
• Answer: 3

• EN: Find x and y if x = 2t + 1 and y = t² + 5. What is y when t=3?
• FR: Trouve x et y si x = 2t + 1 et y = t² + 5. Quelle est y quand t=3 ?
• Choices: A) 15 B) 14 C) 17 D) 18
• Hint: Plug t into the equations.
• Steps:
  • substitute t values in y
  • calculate for y
• Answer: y = 14

• EN: What is the limit of x as x approaches 2 in the function f(x) = 3x?
• FR: Quelle est la limite de x quand x approche 2 dans la fonction f(x) = 3x ?
• Choices: A) 3 B) 5 C) 6 D) 0
• Hint: Substitute x in the function.
• Steps:
  • evaluate limit by substitution
  • calculate the function value
• Answer: 6

• EN: What is the derivative of f(x) = x²?
• FR: Quelle est la dérivée de f(x) = x² ?
• Choices: A) x B) 2x C) 3x² D) 4x
• Hint: Differentiate using power rule.
• Steps:
  • employ the rule for the exponent
  • find the derivative
• Answer: 2x

• EN: If 2^x = 16, what is x?
• FR: Si 2^x = 16, quelle est la valeur de x ?
• Choices: A) 4 B) 3 C) 2 D) 5
• Hint: Think of powers of 2.
• Steps:
  • determine exponent for equality
  • solve for x
• Answer: 4

• EN: If you invest $1000 at 5% interest, how much do you earn in one year?
• FR: Si tu invests 1000 $ à 5 % d'intérêt, combien gagnes-tu en un an ?
• Choices: A) $50 B) $40 C) $30 D) $20
• Hint: Consider the interest formula.
• Steps:
  • calculate interest for a year
  • determine amount earned
• Answer: 50

• EN: Calculate the area under the curve of f(x) = x² from x = 1 to x = 3.
• FR: Calculez l'aire sous la courbe de f(x) = x² de x = 1 à x = 3.
• Choices: A) 8 B) 7 C) 9 D) 10
• Hint: Use integration to find the area.
• Steps:
  • set up the integral for the range
  • calculate integral value
• Answer: 8

• EN: What is the mean of the data set {2, 4, 6, 8}?
• FR: Quelle est la moyenne de l'ensemble de données {2, 4, 6, 8} ?
• Choices: A) 4 B) 5 C) 6 D) 7
• Hint: Find the total sum and divide by count.
• Steps:
  • add all values together
  • divide by total numbers
• Answer: 5

• EN: Solve for x: log(x) = 2.
• FR: Résous pour x : log(x) = 2.
• Choices: A) 100 B) 1000 C) 10 D) 50
• Hint: Rewrite in exponential form.
• Steps:
  • convert the logarithmic form
  • find x based on definition
• Answer: 100

• EN: How much will you have after 2 years if you invest $1000 at an annual interest rate of 5% compounded yearly?
• FR: Combien aurez-vous après 2 ans si vous investissez 1000 $ à un taux d’intérêt annuel de 5 % composé annuellement ?
• Choices: A) $1102.50 B) $1200 C) $1050 D) $1150
• Hint: Use the compound interest formula.
• Steps:
  • apply formula A = P(1 + r/n)^(nt)
  • calculate total amount
• Answer: $1102.50

• EN: Find the derivative of f(x) = x² * sin(x).
• FR: Trouvez la dérivée de f(x) = x² * sin(x).
• Choices: A) 2x cos(x) B) 2x sin(x) + x² cos(x) C) x² cos(x) D) 2 sin(x)
• Hint: Use the product rule.
• Steps:
  • apply product rule f'(x) = u'v + uv'
  • find the components
• Answer: 2x sin(x) + x² cos(x)

• EN: Calculate the limit as x approaches 0 of (sin(x)/x).
• FR: Calculez la limite lorsque x approche 0 de (sin(x)/x).
• Choices: A) 0 B) 1 C) 2 D) -1
• Hint: Consider applying L'Hôpital's Rule.
• Steps:
  • rewrite limit expression
  • apply rule if it gives indeterminate form
• Answer: 1