Hard Maths Quiz Questions With Answers

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Janaisa Harris, BA (Mathematics) |
High School Math Teacher
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Janaisa Harris, an experienced educator, has devoted 4 years to teaching high school math and 6 years to tutoring. She holds a bachelor's degree in Mathematics (Secondary Education, and Teaching) from the University of North Carolina at Greensboro and is currently employed at Wilson County School (NC) as a mathematics teacher.
 , BA (Mathematics)
By Tjpogi12345
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Tjpogi12345
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  • 1/20 Questions

    What is 6372+5849?

    • 14253
    • 12221
    • 06458
    • 74839
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About This Quiz

Are you prepared to take on the ultimate mathematical challenge? Then look no where else because our "Hard Math Quiz" is designed to push your mathematical prowess to the limit! If you're a math enthusiast seeking a cerebral workout or just a student gearing up for a challenging exam, this quiz will put your mathematical skills to the test. Our carefully curated set of math quiz MCQs covers a wide range of mathematical concepts.
With cumulation of advanced algebra to intricate calculus and mind-bending geometry. You'll encounter problems that require creative problem-solving and a deep understanding of mathematical principles. So, tackle this math quiz hard and with agility because it's an excellent way to sharpen your critical thinking and problem-solving abilities. Plus, it's a fun and engaging way to challenge yourself and see just how far your math skills can take you.

Hard Maths Quiz Questions With Answers - Quiz

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  • 2. 

    If a square has a perimeter of 36 cm, what is the length of one side?

    • 9 cm

    • 10 cm

    • 12 cm

    • 15 cm

    Correct Answer
    A. 9 cm
    Explanation
    The formula for the perimeter of a square is:Perimeter = 4 × side length.This formula works because a square has four equal sides.The perimeter is provided as 36 cm. Substitute this into the formula:36 = 4 × side length.To isolate the side length, divide both sides of the equation by 4:side length = 36 ÷ 4.Simplify the equation by dividing:side length = 9 cm.Each side of the square measures 9 cm.

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  • 3. 

    If the sum of three consecutive odd numbers is 45, what are the numbers?

    • 11, 13, 15

    • 13, 15, 17

    • 15, 17, 19

    • 9, 11, 13

    Correct Answer
    A. 13, 15, 17
    Explanation
    Step 1: Let the numbers be x, x + 2, and x + 4.
    Step 2: Write the equation for their sum: x + (x + 2) + (x + 4) = 45.
    Step 3: Simplify: 3x + 6 = 45.
    Step 4: Subtract 6 from both sides: 3x = 39.
    Step 5: Divide by 3: x = 13.
    The numbers are 13, 15, and 17.

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  • 4. 

    If there are 23 boys and 21 girls in class A, Class B has 21 boys and 22 girls. How many girls and boys are there in Class A and B combined?

    • 73 boys and 70 girls

    • 35 boys and 37 girls

    • 44 boys and 43 girls

    • 50 boys and 47 girls

    • 40 boys and 42 girls

    Correct Answer
    A. 44 boys and 43 girls
    Explanation
    To find out how many boys and girls there are in Class A and Class B combined, you can add the numbers of boys and girls in each class.

    In Class A:
    - Boys: 23
    - Girls: 21

    In Class B:
    - Boys: 21
    - Girls: 22

    Now, add the numbers for each category separately:

    Boys in Class A + Boys in Class B = 23 + 21 = 44 boys
    Girls in Class A + Girls in Class B = 21 + 22 = 43 girls

    So, there are 44 boys and 43 girls in Class A and Class B combined.

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  • 5. 

    Your mom is in the market. She bought 22kg of fish and 24kg of chicken. You ate 4kg of chicken and 12kg of fish. How many kg was left of the 2 foods combined?

    • 34kg

    • 37kg

    • 41kg

    • 30kg

    • 28kg

    Correct Answer
    A. 30kg
    Explanation
    To calculate how many kilograms of fish and chicken are left, you need to subtract the amounts you ate from the total amounts your mom bought.

    For fish:
    Total fish bought = 22 kg
    Fish eaten = 12 kg

    Fish left = Total fish bought - Fish eaten = 22 kg - 12 kg = 10 kg

    For chicken:
    Total chicken bought = 24 kg
    Chicken eaten = 4 kg

    Chicken left = Total chicken bought - Chicken eaten = 24 kg - 4 kg = 20 kg

    So, there are 10 kilograms of fish and 20 kilograms of chicken left. So, a total of 30 kgs of food combined is left.

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  • 6. 

    If 5x - 7 = 18, what is the value of x?

    • 5

    • 3

    • 7

    • 10

    Correct Answer
    A. 5
    Explanation
    Step 1: Start with the equation: 5x - 7 = 18.
    Step 2: Add 7 to both sides to isolate the term with x: 5x = 25.
    Step 3: Divide both sides by 5 to solve for x: x = 25 / 5.
    Step 4: Simplify the division: x = 5.
    The solution to the equation is x = 5.

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  • 7. 

    What if you add 7778.1 into 0.0001

    • 7778.0010

    • 7778.1001

    • 7778.0011

    • 7779

    Correct Answer
    A. 7778.1001
    Explanation
    The answer is 7778.1001 because when you add 7778.1 to 0.0001, the sum is 7778.1001.

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  • 8. 

    What if you multiply 45.5 by 2?

    • 91

    • 92

    • 93

    • 90.5

    Correct Answer
    A. 91
    Explanation
    Multiplying a number by 2 means adding that number to itself.So, 45.5 × 2 = 45.5 + 45.5.Add the two values:45.5 + 45.5 = 91.From the given options:91: This is correct because it matches the result of the multiplication.

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  • 9. 

    What if you divide 352 by 12?

    • 23.9

    • 27.9

    • 29.3

    • 67.8

    Correct Answer
    A. 29.3
    Explanation
    Dividing 352 by 12 results in 29.3. This can be calculated by dividing 352 by 12 using long division or a calculator. The quotient of 29.3 means that 352 can be evenly divided by 12, with no remainder. Therefore, 29.3 is the correct answer.

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  • 10. 

    What is the value of x if 5x - 3 = 2x + 9?

    • 2

    • 3

    • 4

    • 5

    Correct Answer
    A. 4
    Explanation
    Start with the equation: 5x - 3 = 2x + 9.
    Subtract 2x from both sides: 3x - 3 = 9.
    Add 3 to both sides: 3x = 12.
    Divide both sides by 3: x = 4.
    The solution for x is 4.

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  • 11. 

    What if you divide 20 by  0.5?

    • 10

    • 20.5

    • 40

    • 30

    Correct Answer
    A. 40
    Explanation
    When you divide 20 by 0.5, you are essentially asking how many times 0.5 can go into 20. Since 0.5 is half of 1, it means that it takes two halves to make 1. Therefore, when you divide 20 by 0.5, you are dividing it by half of 1. Dividing 20 by 0.5 gives you a result of 40, because 40 is the number of times 0.5 can fit into 20.

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  • 12. 

    Solve for y: 2y + 3(4 - y) = 8.

    • 0

    • 2

    • 4

    • 6

    Correct Answer
    A. 4
    Explanation
    Step 1: Expand the equation: 2y + 12 - 3y = 8.
    Step 2: Combine like terms: -y + 12 = 8.
    Step 3: Subtract 12 from both sides: -y = -4.
    Step 4: Divide by -1: y = 4.
    The solution to the equation is y = 4.

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  • 13. 

    What if you divide 70 by 69?

    • 1

    • 11

    • 1.1

    • 1.01

    Correct Answer
    A. 1.01
    Explanation
    Divide 70 by 69:
    70 ÷ 69 = 1.014492753...
    The result is a repeating decimal that continues indefinitely. For simplicity, we round this value to two decimal places:
    1.0145 ≈ 1.01.


    1.01: This is correct because it is the closest rounded value to the result of 1.0145.

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  • 14. 

    The sum of two numbers is 45, and their product is 450. What are the numbers?

    • 15 and 30

    • 10 and 35

    • 20 and 25

    • 18 and 27

    Correct Answer
    A. 15 and 30
    Explanation
    Step 1: Let the numbers be x and y. From the problem, x + y = 45 and xy = 450.
    Step 2: Use the quadratic equation: t² - (sum)t + product = 0.
    Step 3: Substitute: t² - 45t + 450 = 0.
    Step 4: Factorize: (t - 15)(t - 30) = 0.
    Step 5: Solve for t: t = 15 or t = 30.
    Thus, the numbers are 15 and 30.

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  • 15. 

    You have $30.00; you bought a flower that cost $4.50 and sold it to a lady. She gave you $1.20. Then you went to the donut store and bought 3 pieces of donuts that cost $12.45. How much money do you still have?

    • $17.70

    • $14.25

    • $10.00

    • I don't want to waste my money.

    Correct Answer
    A. $14.25
    Explanation
    Let's calculate your remaining money step by step:

    1. You started with $30.00.
    2. You bought a flower for $4.50. Subtract this cost: $30.00 - $4.50 = $25.50 remaining.
    3. You sold the flower for $1.20. Add this amount: $25.50 + $1.20 = $26.70.
    4. You went to the donut store and spent $12.45. Subtract this cost: $26.70 - $12.45 = $14.25.

    After buying the flower, selling it, and purchasing the donuts, you have $14.25 remaining.

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  • 16. 

    You are the baker. You have 253 loaves of bread and 152 donuts. You are making 13 more loaves of bread and 4 donuts, while a boy bought 7 donuts and 17 loaves of bread. How many loaves of bread and donuts do you still have?

    • 264

    • 398

    • 402

    • 372

    • 153

    Correct Answer
    A. 398
    Explanation
    Initially:
    - Loaves of bread = 253
    - Donuts = 152

    After making more:
    - Added 13 loaves of bread
    - Added 4 donuts

    Now, the totals are:
    - Loaves of bread = 253 + 13 = 266
    - Donuts = 152 + 4 = 156

    After the boy's purchase:
    - The boy bought 7 donuts, so subtract 7 from the donuts you have: 156 - 7 = 149 donuts
    - The boy bought 17 loaves of bread, so subtract 17 from the loaves of bread you have: 266 - 17 = 249 loaves of bread

    So, after the boy's purchase, you have 249 loaves of bread and 149 donuts left. So, a combined 398 donuts and loaves are left. 

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  • 17. 

    A triangle has sides measuring 6 cm, 8 cm, and 10 cm. Is it a right triangle?

    • Yes

    • No

    • Sometimes

    • Cannot be determined

    Correct Answer
    A. Yes
    Explanation
    Step 1: Use the Pythagorean theorem: a^2 + b^2 = c^2, where c is the longest side.
    Step 2: Substitute the side lengths: 6^2 + 8^2 = 10^2.
    Step 3: Calculate the squares: 36 + 64 = 100.
    Step 4: Confirm equality: 100 = 100.
    Since the equation holds true, the triangle is a right triangle.

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  • 18. 

    If x^2 - 5x + 6 = 0, what are the values of x?

    • 2 and 3

    • -2 and 3

    • 2 and -3

    • -2 and -3

    Correct Answer
    A. 2 and 3
    Explanation
    Step 1: Factorize the quadratic equation: x² - 5x + 6 = 0.
    Step 2: Write factors: (x - 2)(x - 3) = 0.
    Step 3: Solve each factor:
    x - 2 = 0 → x = 2.
    x - 3 = 0 → x = 3.
    The solutions are x = 2 and x = 3.

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  • 19. 

    A square is inscribed in a circle of radius 7 cm. What is the area of the square?

    • 49 cm²

    • 98 cm²

    • 196 cm²

    • 392 cm²

    Correct Answer
    A. 98 cm²
    Explanation
    Step 1: The diagonal of the square is equal to the diameter of the circle: diameter = 2 × radius = 14 cm.
    Step 2: The diagonal of the square is related to its side length by the formula: diagonal = s√2, where s is the side length.
    Step 3: Solve for s: s = diagonal / √2 = 14 / √2 = 7√2 cm.
    Step 4: Calculate the area: Area = s² = (7√2)² = 49 × 2 = 98 cm².

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  • 20. 

    Simplify: 5(3x - 4) - 2(2x + 3).

    • 13x - 23

    • 11x - 26

    • 13x - 23

    • 15x - 26

    Correct Answer
    A. 11x - 26
    Explanation
     

    Begin by applying the distributive property to eliminate the parentheses:



    For 5(3x - 4): Multiply 5 by each term inside the parentheses:
    5 × 3x = 15x, and 5 × -4 = -20.
    This gives: 15x - 20.


    For -2(2x + 3): Multiply -2 by each term inside the parentheses:
    -2 × 2x = -4x, and -2 × 3 = -6.
    This gives: -4x - 6.



    After expansion, the expression becomes:
    15x - 20 - 4x - 6.

    Now, group the terms with variables and constants separately:



    Variable terms: Combine 15x and -4x:
    15x - 4x = 11x.


    Constant terms: Combine -20 and -6:
    -20 - 6 = -26.



    After combining like terms, the simplified expression is:
    11x - 26.

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Janaisa Harris |BA (Mathematics) |
High School Math Teacher
Janaisa Harris, an experienced educator, has devoted 4 years to teaching high school math and 6 years to tutoring. She holds a bachelor's degree in Mathematics (Secondary Education, and Teaching) from the University of North Carolina at Greensboro and is currently employed at Wilson County School (NC) as a mathematics teacher.

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  • Jul 02, 2025
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    Expert Reviewed by
    Janaisa Harris
  • Sep 19, 2009
    Quiz Created by
    Tjpogi12345
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