Daily Math — 2026-10-14
Grade 1 Problems
[Easy] Counting Stars
- EN: How many stars are there if you see 8 stars in each of 5 constellations?
- FR: Combien d'étoiles y a-t-il si vous voyez 8 étoiles dans chacune des 5 constellations?
- Choices: A) 28 B) 40 C) 32 D) 50
- Hint: Multiply stars per constellation by number of constellations.
- Steps:
- Multiply 8 by 5.
- 8 × 5 = 40.
- Answer: 40
[Easy] Add To Find Out
- EN: What is 12 plus 6?
- FR: Que font 12 plus 6?
- Choices: A) 16 B) 18 C) 20 D) 22
- Hint: Use your fingers to add 12 and 6.
- Steps:
- Start with 12 and count up 6 more.
- 12 + 6 = 18.
- Answer: 18
[Easy] Compare Numbers
- EN: Which number is larger, 15 or 19?
- FR: Quel nombre est plus grand, 15 ou 19?
- Choices: A) 15 B) 19 C) 11 D) 14
- Hint: Think of a number line with 15 and 19.
- Steps:
- Compare 15 and 19.
- 19 is larger.
- Answer: 19
[Easy] Skip Counting by 10s
- EN: What number comes after 30 when skip counting by 10s?
- FR: Quel nombre vient après 30 quand on compte par sauts de 10?
- Choices: A) 35 B) 40 C) 45 D) 50
- Hint: Add 10 to 30.
- Steps:
- Start at 30, then count: 30, 40.
- Answer: 40
[Medium] Subtract to Find Out
- EN: What is 18 minus 4?
- FR: Que font 18 moins 4?
- Choices: A) 14 B) 15 C) 16 D) 17
- Hint: Count back 4 from 18.
- Steps:
- Start at 18 and count back 4: 17, 16, 15, 14.
- Answer: 14
[Medium] Coins in the Pocket
- EN: You have 3 nickels and 4 pennies. How much money is this?
- FR: Vous avez 3 nickels et 4 sous. Combien d'argent est-ce?
- Choices: A) 19 cents B) 19 nickels C) 19 dollars D) 19 dimes
- Hint: Add the value of nickels and pennies separately.
- Steps:
- 3 nickels = 15 cents.
- 4 pennies = 4 cents.
- 15 + 4 = 19 cents.
- Answer: 19 cents
[Medium] Find the Total Fruit
- EN: Jane has 5 apples and 9 oranges. How many fruits does she have in total?
- FR: Jane a 5 pommes et 9 oranges. Combien de fruits a-t-elle au total?
- Choices: A) 15 B) 14 C) 13 D) 16
- Hint: Add the apples and oranges Jane has.
- Steps:
- Add 5 apples and 9 oranges.
- 5 + 9 = 14.
- Answer: 14
[Medium] Count the Pennies
- EN: How many pennies are there in 1 nickel?
- FR: Combien de sous y a-t-il dans 1 nickel?
- Choices: A) 5 B) 6 C) 4 D) 3
- Hint: Remember, 1 nickel = 5 pennies.
- Steps:
- A nickel equals 5 pennies.
- Answer: 5
[Hard] Adding to 20
- EN: What two numbers add up to 20, using two different numbers?
- FR: Quels deux nombres ajoutent jusqu'à 20, en utilisant deux nombres différents?
- Choices: A) 10 and 10 B) 12 and 8 C) 15 and 5 D) 9 and 11
- Hint: Find two numbers that sum to 20.
- Steps:
- Try combinations: 12 + 8.
- Answer: 12 and 8
[Hard] Coins to a Dollar
- EN: How many dimes make $1?
- FR: Combien de dîmes font 1 $?
- Choices: A) 8 B) 10 C) 12 D) 9
- Hint: Remember, each dime is 10 cents.
- Steps:
- Count how many 10-cent coins make 100 cents.
- Answer: 10
Grade 2 Problems
[Easy] Adding Small Numbers
- EN: What is 7 plus 5?
- FR: Que font 7 plus 5?
- Choices: A) 10 B) 12 C) 11 D) 13
- Hint: Start with 7 and count up 5 more.
- Steps:
- Add 5 to 7: 7, 8, 9, 10, 11, 12.
- Answer: 12
[Easy] Counting Coins
- EN: How many quarters make up 75 cents?
- FR: Combien de quarts font 75 sous?
- Choices: A) 2 B) 3 C) 4 D) 5
- Hint: Each quarter is 25 cents.
- Steps:
- Divide 75 by 25.
- Answer: 3
[Easy] Subtracting Within 20
- EN: What is 18 minus 6?
- FR: Que font 18 moins 6?
- Choices: A) 12 B) 10 C) 11 D) 13
- Hint: Think about taking away 6 from 18.
- Steps:
- Subtract 6 from 18 to get 12.
- Answer: 12
[Easy] Reading Clocks
- EN: If the time is 3:00, what time will it be in 2 hours?
- FR: Si l'heure est 3 h, quelle heure sera-t-il dans 2 heures?
- Choices: A) 4:00 B) 5:00 C) 6:00 D) 7:00
- Hint: Add 2 hours to 3:00.
- Steps:
- Add 2 hours to 3:00.
- Answer: 5:00
[Medium] Patterns with Shapes
- EN: What comes next in the pattern: circle, square, circle, square, ____?
- FR: Que vient ensuite dans le motif: cercle, carré, cercle, carré, ____?
- Choices: A) Circle B) Square C) Rectangle D) Triangle
- Hint: Observe the repeating sequence of shapes.
- Steps:
- Look for circles and squares alternating.
- Answer: Circle
[Medium] Simple Measurement
- EN: How many centimeters are in 2 meters?
- FR: Combien de centimètres y a-t-il dans 2 mètres?
- Choices: A) 100 cm B) 200 cm C) 150 cm D) 250 cm
- Hint: Each meter has 100 centimeters.
- Steps:
- Multiply 2 meters by 100.
- Answer: 200 cm
[Medium] Total Cost of Coins
- EN: You have 4 nickels and 3 dimes. How much money do you have?
- FR: Vous avez 4 nickels et 3 dîmes. Combien d'argent avez-vous?
- Choices: A) 35 cents B) 40 cents C) 45 cents D) 50 cents
- Hint: Calculate the value of nickels and dimes separately.
- Steps:
- 4 nickels = 20 cents, 3 dimes = 30 cents; 20 + 30 = 50.
- Answer: 50 cents
[Medium] Add Two Numbers
- EN: What is 23 plus 14?
- FR: Que font 23 plus 14?
- Choices: A) 36 B) 37 C) 38 D) 39
- Hint: Add 23 and 14 digitally.
- Steps:
- Add ones first, then tens.
- Answer: 37
[Hard] Measuring Length
- EN: A ribbon is 150 cm long. If you cut 50 cm off, how long is it?
- FR: Un ruban mesure 150 cm de long. Si vous coupez 50 cm, quelle est sa longueur?
- Choices: A) 90 cm B) 100 cm C) 110 cm D) 120 cm
- Hint: Subtract the cut length from total length.
- Steps:
- 150 cm minus 50 cm equals 100 cm.
- Answer: 100 cm
[Hard] Coins for a Dollar
- EN: How many 20-cent coins make $1?
- FR: Combien de pièces de 20 cents font 1 $?
- Choices: A) 4 B) 5 C) 6 D) 7
- Hint: Divide 100 cents by 20.
- Steps:
- 100 divided by 20 equals 5.
- Answer: 5
Grade 3 Problems
[Easy] Multiplication Tables
- EN: What is 3 times 4?
- FR: Que font 3 fois 4?
- Choices: A) 11 B) 12 C) 13 D) 14
- Hint: Use a times table or groups of objects.
- Steps:
- Count 4 three times.
- Answer: 12
[Easy] Basic Division
- EN: If 10 is divided by 2, what is the result?
- FR: Si 10 est divisé par 2, quel est le résultat?
- Choices: A) 4 B) 5 C) 6 D) 7
- Hint: How many groups of 2 can fit into 10?
- Steps:
- 10 divided by 2 = 5.
- Answer: 5
[Easy] Understanding Fractions
- EN: What fraction of a pizza is left if 1/4 has been eaten?
- FR: Quelle fraction d'une pizza reste-t-il si 1/4 a été mangée?
- Choices: A) 1/3 B) 1/2 C) 3/4 D) 2/3
- Hint: Subtract the eaten part from the whole.
- Steps:
- 1 whole minus 1/4 = 3/4.
- Answer: 3/4
[Easy] Perimeter Calculation
- EN: What is the perimeter of a square with each side measuring 5 cm?
- FR: Quel est le périmètre d'un carré dont chaque côté mesure 5 cm?
- Choices: A) 15 cm B) 18 cm C) 20 cm D) 25 cm
- Hint: Add all sides of the square.
- Steps:
- 5 cm times 4 sides is 20 cm.
- Answer: 20 cm
[Medium] Read the Graph
- EN: If a bar graph shows 8 apples, 10 bananas, and 5 pears, how many fruits in total?
- FR: Si un diagramme montre 8 pommes, 10 bananes et 5 poires, combien de fruits au total?
- Choices: A) 23 B) 24 C) 25 D) 26
- Hint: Add all the items from the graph.
- Steps:
- 8 + 10 + 5 = 23.
- Answer: 23
[Medium] Missing Factor Puzzle
- EN: What number times 5 equals 25?
- FR: Quel nombre multiplié par 5 égale 25?
- Choices: A) 3 B) 4 C) 5 D) 6
- Hint: Think about division. 25 divided by 5.
- Steps:
- 25 divided by 5 is 5.
- Answer: 5
[Medium] Length Comparison
- EN: Which rope is longer, 90 cm or 1 meter?
- FR: Quelle corde est plus longue, 90 cm ou 1 mètre?
- Choices: A) 90 cm B) 1 meter C) They are equal D) 95 cm
- Hint: Remember 1 meter = 100 cm.
- Steps:
- Compare 90 cm with 100 cm.
- Answer: 1 meter
[Medium] Fractions Again
- EN: If 1/3 of a pie is gone, how much is remaining?
- FR: Si 1/3 d'une tarte a disparu, combien reste-t-il?
- Choices: A) 1/2 B) 2/3 C) 3/4 D) 1/4
- Hint: 1 - 1/3 equals the remaining.
- Steps:
- Subtract 1/3 from 1.
- Answer: 2/3
[Hard] Division Challenge
- EN: How many groups of 4 can be formed from 24?
- FR: Combien de groupes de 4 peuvent être formés à partir de 24?
- Choices: A) 5 B) 6 C) 7 D) 8
- Hint: Divide 24 by 4.
- Steps:
- 24 divided by 4 equals 6.
- Answer: 6
[Hard] Solving for Missing Factor
- EN: __ × 5 = 45
- FR: __ × 5 = 45
- Choices: A) 7 B) 8 C) 9 D) 10
- Hint: Divide 45 by 5.
- Steps:
- 45 divided by 5 equals 9.
- Answer: 9
Grade 4 Problems
[Easy] Multiplication Table
- EN: What is 6 times 3?
- FR: Que font 6 fois 3?
- Choices: A) 15 B) 16 C) 17 D) 18
- Hint: Think of 3 groups of 6.
- Steps:
- 6 + 6 + 6 = 18.
- Answer: 18
[Easy] Decimal Place Value
- EN: What is the value of the digit 5 in 3.57?
- FR: Quelle est la valeur du chiffre 5 dans 3,57?
- Choices: A) 5 B) 0.5 C) 0.05 D) 50
- Hint: Check the position after the decimal.
- Steps:
- The tenths place is represented by 5.
- Answer: 0.5
[Easy] Comparison of Fractions
- EN: Which is greater, 1/3 or 1/4?
- FR: Quel est le plus grand, 1/3 ou 1/4?
- Choices: A) 1/3 B) 1/4 C) They are equal D) Need more information
- Hint: Compare denominators.
- Steps:
- The smaller the denominator, the larger the fraction.
- Answer: 1/3
[Easy] La taille de Jan
- EN: Cary is 72 inches tall. Her younger brother Bill is half her height, and her younger sister Jan is 6 inches taller than Bill. How tall is Jan?
- FR: Cary mesure 72 pouces. Son frère cadet Bill mesure la moitié de sa taille et sa sœur cadette Jan mesure 6 pouces de plus que Bill. Quelle est la taille de Jan?
- Choices: A) 42 B) 32 C) 34 D) 30
- Hint: Find a common step: what is half, a third, or a quarter of the number first?
- Steps:
- First find Bill's height by dividing Cary's height by 2: 72 inches / 2 = 36 inches
- Then add six inches to find Jan's height: 36 inches + 6 inches = 42 inches
- Answer: 42
[Medium] Elapsed Time
- EN: If a movie starts at 2:00 PM and ends at 3:30 PM, how long is it?
- FR: Si un film commence à 14 h et finit à 15 h 30, combien dure-t-il?
- Choices: A) 1 hour B) 1 hour 30 minutes C) 2 hours D) 2 hours 30 minutes
- Hint: Count the hours and then the minutes separately.
- Steps:
- 1 hour from 2:00 to 3:00, add 30 minutes to 3:30.
- Answer: 1 hour 30 minutes
[Medium] Missing Factor Division
- EN: 36 ÷ __ = 9
- FR: 36 ÷ __ = 9
- Choices: A) 3 B) 4 C) 5 D) 6
- Hint: Think, what number multiplied by 9 equals 36?
- Steps:
- 9 × 4 = 36.
- Answer: 4
[Medium] Rectangle Perimeter
- EN: What is the perimeter of a rectangle with sides 7 cm and 4 cm?
- FR: Quel est le périmètre d'un rectangle de côtés 7 cm et 4 cm?
- Choices: A) 20 cm B) 21 cm C) 22 cm D) 23 cm
- Hint: Add the lengths of all sides.
- Steps:
- (7 + 4) times 2.
- Answer: 22 cm
[Medium] Information Table Problem
- EN: If an apple costs $2 and a banana costs $1, how much is 3 apples and 2 bananas?
- FR: Si une pomme coûte 2 $ et une banane 1 $, combien coûtent 3 pommes et 2 bananes?
- Choices: A) $8 B) $9 C) $10 D) $11
- Hint: Add apple and banana costs separately then sum.
- Steps:
- 3 apples = 6$, 2 bananas = 2$.
- 6 + 2 = 8.
- Answer: $8
[Hard] Decimal Operation
- EN: What is 5.4 + 3.6?
- FR: Que font 5,4 + 3,6?
- Choices: A) 8.8 B) 9.0 C) 9.8 D) 10.0
- Hint: Align decimal points and add.
- Steps:
- Add tenths and then whole numbers.
- Answer: 9.0
[Hard] Table Problem with Word Problem
- EN: If a toy costs $5 and a book costs $7, how much for 2 toys and 1 book?
- FR: Si un jouet coûte 5 $ et un livre 7 $, combien pour 2 jouets et 1 livre?
- Choices: A) $15 B) $16 C) $17 D) $18
- Hint: Calculate for toys then add book cost.
- Steps:
- 2 toys = 10$, book = 7$.
- 10 + 7 = 17$.
- Answer: $17
Grade 5 Problems
[Easy] Multiple Digits Multiplication
- EN: What is 200 times 3?
- FR: Que font 200 fois 3?
- Choices: A) 500 B) 600 C) 700 D) 800
- Hint: Multiply 2 by 3 and add two zeros.
- Steps:
- 200 × 3 = 600.
- Answer: 600
[Easy] Fractions Addition
- EN: What is 1/3 plus 1/3?
- FR: Que font 1/3 plus 1/3?
- Choices: A) 1/2 B) 1 C) 2/3 D) 3/4
- Hint: Add the numerators of the fractions.
- Steps:
- 1 + 1 = 2; denominator remains 3.
- Answer: 2/3
[Easy] Simple Decimals
- EN: What is 0.5 plus 0.25?
- FR: Que font 0,5 plus 0,25?
- Choices: A) 0.7 B) 0.75 C) 0.8 D) 0.85
- Hint: Line up decimals and add.
- Steps:
- 0.5 + 0.25 = 0.75.
- Answer: 0.75
[Easy] Les cartes de Rob
- EN: Rob has some baseball cards, and a few are doubles. One third of Rob's cards are doubles, and Jess has 5 times as many doubles as Rob. If Jess has 40 doubles baseball cards, how many baseball cards does Rob have?
- FR: Rob a des cartes de baseball, et certaines sont des doubles. Un tiers des cartes de Rob sont des doubles, et Jess a 5 fois plus de doubles que Rob. Si Jess a 40 cartes de baseball en double, combien de cartes de baseball Rob possède-t-il?
- Choices: A) 17 B) 22 C) 24 D) 8
- Hint: Find a common step: what is half, a third, or a quarter of the number first?
- Steps:
- Rob has 40/5=8 doubles baseball cards.
- Rob has 8*3=24 baseball cards.
- Answer: 24
[Medium] Volume of Prism
- EN: A rectangle box is 4 cm by 5 cm by 6 cm. What is its volume?
- FR: Une boîte rectangulaire mesure 4 cm sur 5 cm sur 6 cm. Quel est son volume?
- Choices: A) 110 cm³ B) 120 cm³ C) 130 cm³ D) 140 cm³
- Hint: Multiply length, width, and height.
- Steps:
- 4 × 5 = 20, 20 × 6 = 120.
- Answer: 120 cm³
[Medium] Greater Decimal Operation
- EN: What is greater, 0.4 or 0.45?
- FR: Que est plus grand, 0,4 ou 0,45?
- Choices: A) 0.4 B) 0.45 C) They are equal D) Need more information
- Hint: Consider tenths and hundredths place.
- Steps:
- Compare hundredths; 45 is greater.
- Answer: 0.45
[Medium] Problem with Table of Information
- EN: If 5 notebooks cost $15, how much do 3 notebooks cost?
- FR: Si 5 cahiers coûtent 15 $, combien coûtent 3 cahiers?
- Choices: A) $7 B) $8 C) $9 D) $10
- Hint: Find the cost per notebook first.
- Steps:
- 5 notebooks = $15; 1 notebook = $3; 3 × $3 = $9.
- Answer: $9
[Medium] Subtraction in Decimals
- EN: What is 1.2 minus 0.5?
- FR: Que fait 1,2 moins 0,5?
- Choices: A) 0.6 B) 0.7 C) 0.8 D) 0.9
- Hint: Subtract the smaller decimal.
- Steps:
- 1.2 − 0.5 = 0.7.
- Answer: 0.7
[Hard] Fraction Multiplication
- EN: What is 2/3 of 6?
- FR: Que fait 2/3 de 6?
- Choices: A) 3 B) 4 C) 5 D) 6
- Hint: Multiply 6 by 2/3.
- Steps:
- 6 × 2 = 12; 12 ÷ 3 = 4.
- Answer: 4
[Hard] Missing Factor Larger Numbers
- EN: __ × 18 = 108
- FR: __ × 18 = 108
- Choices: A) 4 B) 5 C) 6 D) 7
- Hint: Divide 108 by 18.
- Steps:
- 108 ÷ 18 = 6.
- Answer: 6
Grade 6 Problems
[Easy] Simple Ratios
- EN: If you have 4 red marbles and 8 blue marbles, what is the ratio of red to blue?
- FR: Si vous avez 4 billes rouges et 8 billes bleues, quel est le ratio des rouges aux bleues?
- Choices: A) 1:2 B) 1:3 C) 1:4 D) 2:1
- Hint: Simplify the number of red to blue.
- Steps:
- 4:8 simplifies to 1:2.
- Answer: 1:2
[Easy] Percent Calculation
- EN: What is 25% of 200?
- FR: Que fait 25 % de 200?
- Choices: A) 25 B) 50 C) 75 D) 100
- Hint: Divide 200 by 4.
- Steps:
- 25% equals 1/4 of the total.
- Answer: 50
[Easy] Basic BEDMAS
- EN: What is 2 + 3 × 4?
- FR: Que fait 2 + 3 × 4?
- Choices: A) 10 B) 14 C) 18 D) 20
- Hint: Multiply before adding.
- Steps:
- 3 × 4 = 12; 12 + 2 = 14.
- Answer: 14
[Easy] Les bras des animaux
- EN: Carly collected 7 starfish with 5 arms each and one seastar with 14 arms. How many arms do the animals she collected have in total?
- FR: Carly a ramassé 7 étoiles de mer avec 5 bras chacune et une ophiure avec 14 bras. Combien de bras ont les animaux qu'elle a collectés au total?
- Choices: A) 24 B) 54 C) 98 D) 49
- Hint: Think about equal groups: how many groups, and how many in each group?
- Steps:
- First find the total number of starfish arms: 7 starfish * 5 arms/starfish = 35 arms
- Then add the number of seastar arms to find the total number of arms: 35 arms + 14 arms = 49 arms
- Answer: 49
[Medium] Integer Operations
- EN: What is -3 plus 7?
- FR: Que fait -3 plus 7?
- Choices: A) 4 B) 5 C) 6 D) 7
- Hint: Think of subtraction if adding a negative.
- Steps:
- Move right 3 spots from -3 to 4.
- Answer: 4
[Medium] Fraction Division
- EN: What is 4 divided by 1/2?
- FR: Que fait 4 divisé par 1/2?
- Choices: A) 2 B) 6 C) 8 D) 10
- Hint: Multiplying by the reciprocal.
- Steps:
- 4 × 2/1 = 8.
- Answer: 8
[Medium] Simplifying Algebraic Expressions
- EN: Simplify: 2x + 3x.
- FR: Simplifiez: 2x + 3x.
- Choices: A) 5x B) 6x C) 7x D) 8x
- Hint: Add like terms.
- Steps:
- Combine coefficients of x.
- Answer: 5x
[Medium] Multi-Step Word Problems
- EN: If a pen costs $2 and a notebook costs $3, what is the total for 4 pens and 1 notebook?
- FR: Si un stylo coûte 2 $ et un cahier coûte 3 $, quel est le total pour 4 stylos et 1 cahier?
- Choices: A) $10 B) $11 C) $12 D) $13
- Hint: Calculate separately then sum.
- Steps:
- 4 pens = 8$, 1 notebook = 3$.
- 8 + 3 = 11$.
- Answer: $11
[Hard] Solving Equations Using BEDMAS
- EN: Solve 5 + (6 × 2) - 4.
- FR: Résolvez 5 + (6 × 2) - 4.
- Choices: A) 11 B) 13 C) 15 D) 17
- Hint: Solve multiplication first.
- Steps:
- 6 × 2 = 12; 5 + 12 = 17.
- Answer: 13
[Hard] Problem-Solving with Information
- EN: If a soccer ball costs $15 and a jersey costs $20, how much for 2 balls and 2 jerseys?
- FR: Si un ballon de soccer coûte 15 $ et un maillot 20 $, combien pour 2 ballons et 2 maillots?
- Choices: A) $60 B) $65 C) $70 D) $75
- Hint: Multiply then add.
- Steps:
- 2 balls = 30$, 2 jerseys = 40$.
- 30 + 40 = 70$.
- Answer: $70
Grade 7 Problems
[Easy] Adding Integers
- EN: What is -5 plus -3?
- FR: Que fait -5 plus -3?
- Choices: A) -7 B) -8 C) -9 D) -10
- Hint: Add absolute values, keep the sign.
- Steps:
- Add 5 and 3; both negative.
- Answer: -8
[Easy] Subtraction of Decimals
- EN: Subtract 3.5 from 5.2.
- FR: Soustrayez 3,5 de 5,2.
- Choices: A) 1.5 B) 1.7 C) 1.9 D) 2.0
- Hint: Focus on tenths first.
- Steps:
- Subtract tenths then whole numbers.
- Answer: 1.7
[Easy] One-Step Linear Equations
- EN: Solve x + 4 = 9.
- FR: Résolvez x + 4 = 9.
- Choices: A) x = 3 B) x = 4 C) x = 5 D) x = 6
- Hint: Subtract 4 from both sides.
- Steps:
- x = 9 - 4.
- Answer: x = 5
[Easy] Simple Probability
- EN: What is the probability of rolling a 3 on a 6-sided die?
- FR: Quelle est la probabilité d'obtenir un 3 avec un dé à 6 faces ?
- Choices: A) 1/2 B) 1/3 C) 1/6 D) 1/4
- Hint: One outcome out of 6.
- Steps:
- One desired outcome from six possibilities.
- Answer: 1/6
[Medium] Surface Area Calculation
- EN: What is the surface area of a cube with side length 3 cm?
- FR: Quelle est la surface totale d'un cube dont le côté mesure 3 cm ?
- Choices: A) 36 cm² B) 54 cm² C) 27 cm² D) 45 cm²
- Hint: Surface area = 6 times one side area.
- Steps:
- 3 × 3 = 9; 9 × 6 = 54.
- Answer: 54 cm²
[Medium] Discount Calculation
- EN: How much is a $50 item with a 10% discount?
- FR: Combien coûte un article de 50 $ avec un rabais de 10 % ?
- Choices: A) $40 B) $45 C) $47.50 D) $50
- Hint: Find 10% of 50 then subtract.
- Steps:
- 10% of 50 is $5; 50 - 5 = 45.
- Answer: $45
[Medium] Multiplying Mixed Numbers
- EN: Multiply 1 1/2 by 4.
- FR: Multipliez 1 1/2 par 4.
- Choices: A) 5 B) 6 C) 7 D) 8
- Hint: Convert mixed number to improper fraction.
- Steps:
- 3/2 × 4/1 = 12/2 = 6.
- Answer: 6
[Medium] Tissu restant
- EN: Ann is cutting fabric to make curtains. She cuts a 4 foot by 6 foot rectangle for the living room, and a 2 foot by 4 foot rectangle for the bedroom. If the bolt of fabric is 16 feet by 12 feet, how much fabric is left in square feet?
- FR: Ann découpe du tissu pour fabriquer des rideaux. Elle coupe un rectangle de 4 pieds par 6 pieds pour le salon et un rectangle de 2 pieds par 4 pieds pour la chambre. Si le rouleau de tissu mesure 16 pieds par 12 pieds, combien de tissu reste-t-il en pieds carrés?
- Choices: A) 208 B) 160 C) 8 D) 120
- Hint: Check what unit the question wants, and convert if needed before doing the math.
- Steps:
- First figure out how many square feet the original bolt of fabric was: 16 feet * 12 feet = 192 square feet
- Then figure out how much fabric Ann took for the living room curtains: 4 feet * 6 feet = 24 square feet
- Then figure out how much fabric Ann took for the bathroom curtains: 2 feet * 4 feet = 8 square feet
- Finally, subtract the square footage of both sets of curtains from the total square footage: 192 - 24 - 8 = 160 square feet
- Answer: 160
[Hard] Data Inference
- EN: If 60% of class likes hockey, and there are 30 students, how many like hockey?
- FR: Si 60 % de la classe aime le hockey, et qu'il y a 30 élèves, combien aiment le hockey ?
- Choices: A) 15 B) 18 C) 20 D) 22
- Hint: 60% of 30 is calculated by multiplying.
- Steps:
- 60/100 × 30 = 18.
- Answer: 18
[Hard] Complex Word Problem
- EN: If a book costs $8 and you have $50, how many can you buy, and change left?
- FR: Si un livre coûte 8 $ et que vous avez 50 $, combien pouvez-vous en acheter, et combien reste-t-il ?
- Choices: A) 5 books, $10 left B) 6 books, $2 left C) 6 books, $4 left D) 7 books, $6 left
- Hint: Divide then calculate leftovers.
- Steps:
- 50 ÷ 8 = 6 full books; 6 × 8 = 48; 50 - 48 = 2.
- Answer: 6 books, $2 left
Grade 8 Problems
[Easy] Simple Two-Step Equations
- EN: Solve 2x + 3 = 11.
- FR: Résolvez 2x + 3 = 11.
- Choices: A) x = 3 B) x = 4 C) x = 5 D) x = 6
- Hint: Subtract 3 then divide by 2.
- Steps:
- 11 - 3 = 8; 8 ÷ 2 = 4.
- Answer: x = 4
[Easy] Recognizing Perfect Squares
- EN: What is the square root of 49?
- FR: Quelle est la racine carrée de 49?
- Choices: A) 6 B) 7 C) 8 D) 9
- Hint: Find a number that when multiplied by itself gives 49.
- Steps:
- 7 × 7 = 49, so the root is 7.
- Answer: 7
[Easy] Intro to Slope
- EN: What is the slope of a line with points (0, 0) and (2, 4)?
- FR: Quelle est la pente d'une ligne avec les points (0, 0) et (2, 4)?
- Choices: A) 1 B) 2 C) 3 D) 4
- Hint: Find rise over run.
- Steps:
- Rise = 4, run = 2; slope = 4/2 = 2.
- Answer: 2
[Easy] Calculating Mean
- EN: What is the mean of the numbers 2, 4, 6, 8?
- FR: Quelle est la moyenne des nombres 2, 4, 6, 8?
- Choices: A) 4 B) 5 C) 6 D) 7
- Hint: Sum numbers then divide by count.
- Steps:
- Total is 20; divide by 4.
- Answer: 5
[Medium] Percent Increase
- EN: If a $50 item is increased by 10%, what is the new price?
- FR: Si un article de 50 $ est augmenté de 10 %, quel est le nouveau prix ?
- Choices: A) $52 B) $53 C) $54 D) $55
- Hint: Find 10% of 50, then add.
- Steps:
- 10% of 50 is $5; 50 + 5 = 55.
- Answer: $55
[Medium] Using the Pythagorean Theorem
- EN: What is the length of the hypotenuse of a right triangle with the other two sides 3 and 4?
- FR: Quelle est la longueur de l'hypoténuse d'un triangle rectangle dont les deux autres côtés mesurent 3 et 4 ?
- Choices: A) 4 B) 5 C) 6 D) 7
- Hint: a² + b² = c².
- Steps:
- 3² + 4² = 9 + 16 = 25; √25 = 5.
- Answer: 5
[Medium] Median Calculation
- EN: What is the median of the numbers 3, 7, 9, 10, 12?
- FR: Quelle est la médiane des nombres 3, 7, 9, 10, 12?
- Choices: A) 8 B) 9 C) 10 D) 11
- Hint: Find the middle number.
- Steps:
- Arrange: 3, 7, 9, 10, 12; median is 9.
- Answer: 9
[Medium] Solving for Slope
- EN: Find the slope for points (2, 3) and (4, 7).
- FR: Trouvez la pente pour les points (2, 3) et (4, 7).
- Choices: A) 1 B) 2 C) 3 D) 4
- Hint: (y2-y1)/(x2-x1).
- Steps:
- (7 - 3)/(4 - 2) = 4/2 = 2.
- Answer: 2
[Hard] Solving Systems with Graphing
- EN: Which point is the solution to the system: y = x + 1 and y = 2x - 1?
- FR: Quel point est la solution du système : y = x + 1 et y = 2x - 1 ?
- Choices: A) (0,1) B) (1,2) C) (2,3) D) (3,4)
- Hint: Graph equations to find intersection.
- Steps:
- Solve: x=2, y=3 by substitution or graph.
- Answer: (2,3)
[Hard] Identifying Perfect Squares
- EN: What is the perfect square of 12?
- FR: Quel est le carré parfait de 12?
- Choices: A) 114 B) 124 C) 144 D) 154
- Hint: Multiply 12 by itself.
- Steps:
- 12 × 12 = 144.
- Answer: 144
Grade 9 Problems
[Easy] Solving Linear Equations
- EN: Solve 3x - 4 = 8.
- FR: Résolvez 3x - 4 = 8.
- Choices: A) x = 4 B) x = 5 C) x = 6 D) x = 7
- Hint: Add 4 then divide by 3.
- Steps:
- 8 + 4 = 12; 12/3 = 4.
- Answer: x = 4
[Easy] Adding Polynomials
- EN: Add (2x + 3) + (4x + 5).
- FR: Ajoutez (2x + 3) + (4x + 5).
- Choices: A) 6x + 8 B) 6x + 9 C) 7x + 8 D) 8x + 8
- Hint: Add like terms of x and constants.
- Steps:
- 2x + 4x = 6x, 3 + 5 = 8.
- Answer: 6x + 8
[Easy] Graphing Lines
- EN: What is the y-intercept of y = 2x + 3?
- FR: Quel est l'ordonnée à l'origine de y = 2x + 3 ?
- Choices: A) 1 B) 2 C) 3 D) 4
- Hint: Look at where line crosses y-axis.
- Steps:
- The y-intercept is 3.
- Answer: 3
[Easy] Similar Triangles
- EN: If two triangles are similar and one has sides 3, 4, 5, the other has x, 8, 10, find x.
- FR: Si deux triangles sont similaires et qu'un a des côtés 3, 4, 5, l'autre a x, 8, 10, trouvez x.
- Choices: A) 5 B) 6 C) 7 D) 8
- Hint: Use proportional sides.
- Steps:
- 3 corresponds to x; 3/5 = x/10.
- Answer: 6
[Medium] Solving Inequalities
- EN: Solve 2x + 3 < 11.
- FR: Résolvez 2x + 3 < 11.
- Choices: A) x < 3 B) x < 4 C) x < 5 D) x < 6
- Hint: Subtract then divide.
- Steps:
- 11 - 3 = 8; 8/2 < x.
- Answer: x < 4
[Medium] Trigonometric Ratios
- EN: What is sin of a 30° angle in a right triangle?
- FR: Quelle est la sin de 30° dans un triangle rectangle ?
- Choices: A) 0.5 B) 0.6 C) 0.7 D) 0.8
- Hint: Opposite over hypotenuse.
- Steps:
- Sin30 = 1/2.
- Answer: 0.5
[Medium] Polynomial Multiplication
- EN: Multiply (x + 2)(x + 3).
- FR: Multipliez (x + 2)(x + 3).
- Choices: A) x² + 5x + 6 B) x² + 6x + 6 C) x² + 7x + 6 D) x² + 8x + 6
- Hint: Use distributive property.
- Steps:
- x² + 2x + 3x + 6 = x² + 5x + 6.
- Answer: x² + 5x + 6
[Medium] Understanding Statistics
- EN: Calculate the range of these numbers: 3, 5, 8, 12.
- FR: Calculez l'étendue de ces nombres: 3, 5, 8, 12.
- Choices: A) 7 B) 8 C) 9 D) 10
- Hint: Subtract smallest from largest.
- Steps:
- 12 - 3 = 9.
- Answer: 9
[Hard] Solving Using Trigonometry
- EN: In a triangle, if hypotenuse = 10 and opposite = 5, find angle θ use sin.
- FR: Dans un triangle, si l'hypoténuse = 10 et opposé = 5, trouvez l'angle θ en utilisant sin.
- Choices: A) 20° B) 30° C) 60° D) 45°
- Hint: sin θ = opposite/hypotenuse.
- Steps:
- 5/10 = 0.5; θ = 30°.
- Answer: 30°
[Hard] Graphing with Algebraic Expressions
- EN: Graph the line y = -x + 4. What is the y-intercept?
- FR: Tracez la ligne y = -x + 4. Quel est l'ordonnée à l'origine ?
- Choices: A) 2 B) 3 C) 4 D) 5
- Hint: Find where line crosses y-axis.
- Steps:
- y-intercept is 4.
- Answer: 4
Grade 10 Problems
[Easy] Simplifying Quadratic Equations
- EN: Solve x² = 16.
- FR: Résolvez x² = 16.
- Choices: A) x = 2 B) x = 4 C) x = 8 D) x = 10
- Hint: Find the square root.
- Steps:
- √16 = 4; x = ±4 (only positive considered here).
- Answer: x = 4
[Easy] Trigonometric Values
- EN: What is cos 0°?
- FR: Que vaut cos 0° ?
- Choices: A) 0 B) 0.5 C) 1 D) 1.5
- Hint: Consider unit circle.
- Steps:
- Cos0 = 1.
- Answer: 1
[Easy] Solving Systems of Equations
- EN: Solve x + y = 6 and x - y = 2.
- FR: Résolvez x + y = 6 et x - y = 2.
- Choices: A) (2, 4) B) (3, 3) C) (4, 2) D) (5, 1)
- Hint: Add and subtract the equations.
- Steps:
- x + y = 6, x - y = 2; add: 2x = 8, x = 4; x + y = 6, y = 2.
- Answer: (4, 2)
[Easy] Circle Geometry
- EN: What is the circumference of a circle with a diameter of 10 cm?
- FR: Quelle est la circonférence d'un cercle dont le diamètre mesure 10 cm?
- Choices: A) 28.5 cm B) 30.4 cm C) 31.4 cm D) 32.4 cm
- Hint: C = πd.
- Steps:
- π ≈ 3.14, d = 10, C = 31.4 cm.
- Answer: 31.4 cm
[Medium] Factoring Quadratics
- EN: Factor x² + 5x + 6.
- FR: Factorisez x² + 5x + 6.
- Choices: A) (x + 1)(x + 5) B) (x + 2)(x + 3) C) (x + 3)(x + 4) D) (x + 2)(x + 4)
- Hint: Find numbers that multiply to 6 and add to 5.
- Steps:
- Use (x + 2)(x + 3).
- Answer: (x + 2)(x + 3)
[Medium] Solving Systems Graphically
- EN: If y = x + 3 and y = 2x - 1, find the intersection point.
- FR: Si y = x + 3 et y = 2x - 1, trouvez le point d'intersection.
- Choices: A) (0, 3) B) (1, 4) C) (2, 5) D) (3, 6)
- Hint: Solve algebraically for x first.
- Steps:
- Set x + 3 = 2x - 1; x = 4, plug x to find y.
- Answer: (3, 6)
[Medium] Understanding Volume Calculations
- EN: What is the volume of a sphere with a radius of 3 cm?
- FR: Quel est le volume d'une sphère avec un rayon de 3 cm ?
- Choices: A) 112 cm³ B) 115 cm³ C) 113.1 cm³ D) 120 cm³
- Hint: Use V = ⁴⁄₃πr³.
- Steps:
- π ≈ 3.14, r = 3; calculate using formula.
- Answer: 113.1 cm³
[Medium] Identifying Trigonometric Ratios
- EN: If sin A = 0.6, what is cos A?
- FR: Si sin A = 0,6, que vaut cos A ?
- Choices: A) 0.4 B) 0.8 C) 0.6 D) 1.0
- Hint: Use identity sin²A + cos²A = 1.
- Steps:
- cos²A = 1 - (0.6)²; solve for cos A.
- Answer: 0.8
[Hard] Completing the Square
- EN: Complete the square for x² + 6x + 5.
- FR: Complétez le carré pour x² + 6x + 5.
- Choices: A) (x + 3)² - 4 B) (x + 2)² - 1 C) (x + 1)² D) (x + 3)² + 1
- Hint: Add and subtract (b/2)².
- Steps:
- (x + 3)² - 9, then adjust constant.
- Answer: (x + 3)² - 4
[Hard] Trigonometry with non-trivial angles
- EN: Use SOH-CAH-TOA to solve right triangle with adjacent 8 cm, angle 30°.
- FR: Utilisez SOH-CAH-TOA pour résoudre un triangle rectangle avec adjacent 8 cm, angle 30°.
- Choices: A) Opposite 4 B) Opposite 6 C) Opposite 5 D) Opposite 8
- Hint: Use tan θ = opposite/adjacent.
- Steps:
- tan 30° = opposite/8; solve for opposite.
- Answer: Opposite 4 ```
Grade 11 Problems
[Easy] Quadratic Functions
- EN: What is the vertex of y = x² - 4x + 3?
- FR: Quel est le sommet de y = x² - 4x + 3?
- Choices: A) (1, -2) B) (2, -1) C) (3, 0) D) (4, 1)
- Hint: Use vertex formula x = -b/2a.
- Steps:
- x = 2; substitute to find y = -1.
- Answer: (2, -1)
[Easy] Exponential Growth
- EN: Double 100 through exponential growth x times leads to 800. Find x.
- FR: Doublez 100 par croissance exponentielle x fois pour atteindre 800. Trouvez x.
- Choices: A) 2 B) 3 C) 4 D) 5
- Hint: 100 doubled x times should reach 800.
- Steps:
- 100, 200, 400, 800; 3 doublings needed.
- Answer: 3
[Easy] Simple Sequences
- EN: What is the next number in the arithmetic sequence: 2, 5, 8, 11?
- FR: Quel est le nombre suivant dans la séquence arithmétique : 2, 5, 8, 11 ?
- Choices: A) 13 B) 14 C) 15 D) 16
- Hint: Find common difference.
- Steps:
- 11 + 3 = 14.
- Answer: 14
[Easy] Financial Math Basics
- EN: What is simple interest on $1000 for 2 years at 5% per annum?
- FR: Quel est l'intérêt simple sur 1000 $ pour 2 ans à 5 % par an ?
- Choices: A) $80 B) $90 C) $100 D) $150
- Hint: I = PRT, principal x rate x time.
- Steps:
- 1000 × 0.05 × 2 = $100.
- Answer: $100
[Medium] Functions Operations
- EN: If f(x) = x² and g(x) = x + 3, find f(g(2)).
- FR: Si f(x) = x² et g(x) = x + 3, trouvez f(g(2)).
- Choices: A) 11 B) 16 C) 25 D) 49
- Hint: Substitute g(x) into f(x).
- Steps:
- g(2) = 5, f(5) = 25.
- Answer: 25
[Medium] Logarithms Basics
- EN: Solve log₂ 16 = x.
- FR: Résolvez log₂ 16 = x.
- Choices: A) 2 B) 3 C) 4 D) 5
- Hint: 2 raised to what equals 16?
- Steps:
- 2⁴ = 16; x = 4.
- Answer: 4
[Medium] Compound Interest Calculations
- EN: Calculate compound interest on $1000 for 1 year at 5%, compounded annually.
- FR: Calculez l'intérêt composé sur 1000 $ pour 1 an à 5 %, composé annuellement.
- Choices: A) $50 B) $51 C) $52 D) $53
- Hint: Use A = P(1 + r/n)^(nt).
- Steps:
- 1000(1 + 0.05)^1; A - P = Interest.
- Answer: $50
[Medium] Sequences and Series Sum
- EN: Find the sum of first 4 terms: 3, 6, 9, 12.
- FR: Trouvez la somme des 4 premiers termes : 3, 6, 9, 12.
- Choices: A) 28 B) 30 C) 36 D) 40
- Hint: Add each term.
- Steps:
- 3 + 6 + 9 + 12 = 30.
- Answer: 30
[Hard] Complex Logarithms
- EN: If log₃(x) = 4, find x.
- FR: Si log₃(x) = 4, trouvez x.
- Choices: A) 27 B) 64 C) 81 D) 243
- Hint: 3 raised to what equals x.
- Steps:
- 3⁴ = 81; x = 81.
- Answer: 81
[Hard] Solving Sequences
- EN: What is the nth term of the sequence 2, 6, 12, 20?
- FR: Quel est le nième terme de la séquence 2, 6, 12, 20 ?
- Choices: A) n² + n B) n² - n C) n² + 2n D) n² - 2n
- Hint: Patterns among terms guide.
- Steps:
- Differences: 4, 6, 8; 2n pattern.
- Answer: n² + n
Grade 12 Problems
[Easy] Trigonometric Functions
- EN: What is sin 90°?
- FR: Quelle est la valeur de sin 90° ?
- Choices: A) 0 B) 0.5 C) 1 D) 1.5
- Hint: Think of sine of right angle.
- Steps:
- sin 90° = 1.
- Answer: 1
[Easy] Derivatives Introduction
- EN: What is the derivative of f(x) = 3x?
- FR: Quelle est la dérivée de f(x) = 3x ?
- Choices: A) 1 B) 2 C) 3 D) 4
- Hint: Apply power rule.
- Steps:
- Power rule: bring down exponent.
- Answer: 3
[Easy] Combinations Query
- EN: From 5 items, how many ways to pick 2?
- FR: Parmi 5 objets, combien de manières de choisir 2 ?
- Choices: A) 5 B) 10 C) 15 D) 20
- Hint: Use nCr formula.
- Steps:
- Combination formula 5C2 = 10.
- Answer: 10
[Easy] Probability Distributions
- EN: In a fair die roll, what is probability of getting even number?
- FR: Dans un lancer de dé équitable, quelle est la probabilité d'obtenir un nombre pair ?
- Choices: A) 1/2 B) 1/3 C) 1/4 D) 1/6
- Hint: Count even outcomes.
- Steps:
- 3 even numbers on die.
- Answer: 1/2
[Medium] Understanding Vectors
- EN: If vector A = [3, 4], find magnitude.
- FR: Si le vecteur A = [3, 4], trouvez la magnitude.
- Choices: A) 4 B) 5 C) 6 D) 7
- Hint: Use √a² + b².
- Steps:
- √(3² + 4²) = 5.
- Answer: 5
[Medium] Rational Functions
- EN: Simplify (x² - 9)/(x + 3).
- FR: Simplifiez (x² - 9)/(x + 3).
- Choices: A) x - 3 B) x + 3 C) x² + 3 D) x - 9
- Hint: Factor numerator.
- Steps:
- (x-3)(x+3)/(x+3); cancel x+3.
- Answer: x - 3
[Medium] Polynomial Functions
- EN: If f(x) = x³ - 3x² + 2x, find f’(x).
- FR: Si f(x) = x³ - 3x² + 2x, trouvez f’(x).
- Choices: A) 3x² - 6x + 2 B) 3x² - 6x C) 3x - 6 D) 3x² + 6x - 2
- Hint: Differentiate each term.
- Steps:
- Derivative: 3x² - 6x + 2.
- Answer: 3x² - 6x + 2
[Medium] Solve Combinations with Probability
- EN: From 5 letters, how many 3-letter passwords?
- FR: Parmi 5 lettres, combien de mots de passe à 3 lettres ?
- Choices: A) 10 B) 15 C) 20 D) 60
- Hint: Use permutations.
- Steps:
- 5P3 = 60.
- Answer: 60
[Hard] Evaluating Advanced Functions
- EN: Evaluate limit as x approaches 2 of (x² - 4)/(x - 2).
- FR: Évaluez la limite quand x approche de 2 de (x² - 4)/(x - 2).
- Choices: A) 1 B) 2 C) 3 D) 4
- Hint: Factor first.
- Steps:
- (x+2)(x-2)/(x-2); cancel, remains x+2, plug x=2.
- Answer: 4
[Hard] Solving Derivatives for Real World Applications
- EN: Speed is rate of change of position. Find position derivative: position = 5t² + 3t.
- FR: La vitesse est le taux de changement de position. Trouvez la dérivée de la position : position = 5t² + 3t.
- Choices: A) 10t + 3 B) 5t + 3 C) 15t + 1 D) 20t + 3
- Hint: Differentiate with respect to t.
- Steps:
- Derivative: d/dt of 5t² + 3t = 10t + 3.
- Answer: 10t + 3
Today's Encouragement
Every mistake you make is a stepping stone towards mastering what you've learned.
A Story of Kindness
In a busy library in Toronto, a boy named Ethan noticed a younger child struggling to reach a book. Ethan gently asked if they needed help and, with a smile, reached up high to fetch the book. The child beamed with gratitude, and Ethan felt a warm sense of happiness. The librarian saw this act of kindness and praised Ethan for his helpfulness, reminding everyone around how a small gesture can make a big difference.
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