Hard Maths Questions Quiz!

Reviewed by Janaisa Harris
Janaisa Harris, BA (Mathematics) |
Mathematics
Review Board Member
Ms. 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. She is now broadening her educational impact by engaging in curriculum mapping for her county. This endeavor enriches her understanding of educational strategies and their implementation. With a strong commitment to quality education, she actively participates in the review process of educational quizzes, ensuring accuracy and relevance to the curriculum.
, BA (Mathematics)
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Hard Maths Questions Quiz! - Quiz


Get ready to flex your brain muscles with our Hard Maths Questions Quiz! This quiz is not for the faint of heart – it's designed to challenge even the most seasoned math enthusiasts. Whether you're a math wizard looking for a serious brain workout or a brave soul ready to take on the toughest mathematical conundrums, this quiz is your ticket to an exhilarating mathematical journey.
Navigate through a series of mind-bending questions that span various branches of mathematics, from advanced algebraic equations to intricate calculus problems. Each question is meticulously crafted to push the boundaries of your mathematical Read moreprowess, making this quiz a true test of your problem-solving skills.
Do you think you are the best math student in your class? If so, then you must have a knack for tackling some problems believed to be unsolvable by your fellow classmates. Take up the quiz below and see if you are on the genius list or need more practice with math problems before you get on the A-team.


Questions and Answers
  • 1. 

    One day, a person went to a horse racing area. Instead of counting the number of humans and horses, he counted 74 heads and 196 legs. How many humans and horses were there?

    • A.

      37 humans and 98 horses

    • B.

      24 horses and 50 humans

    • C.

      31 horses and 74 humans

    • D.

      24 humans and 50 horses

    Correct Answer
    B. 24 horses and 50 humans
    Explanation
    Let's use a system of equations to solve this problem. Let H represent the number of humans and T represent the number of horses. We know that each human has 1 head and 2 legs, and each horse has 1 head and 4 legs. The person counted 74 heads and 196 legs, so we can write the following equations:
    H + T = 74 (total number of heads)
    2H + 4T = 196 (total number of legs)
    Now, we can solve this system of equations:
    From equation 1, we can express H in terms of T: H = 74 - T.
    Substitute this into equation 2:
    2(74 - T) + 4T = 196 148 - 2T + 4T = 196 2T = 196 - 148 2T = 48 T = 48 / 2 T = 24
    Now that we know the number of horses (T = 24), we can find the number of humans using equation 1:
    H = 74 - 24 H = 50
    So, there were 50 humans and 24 horses.

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  • 2. 

    Y=log x If y=10, then what is x?

    • A.

      10

    • B.

      1

    • C.

      100

    • D.

      10^2

    Correct Answer
    A. 10
  • 3. 

    What is 10*9*8*7*6*5*4*3*2*1?

    • A.

      10! or 3628800

    • B.

      100

    • C.

      1000

    • D.

      10^10

    Correct Answer
    A. 10! or 3628800
    Explanation
    The given question is asking for the product of all the numbers from 1 to 10. This is represented by the factorial notation, which is denoted by an exclamation mark (!). Therefore, 10! means multiplying all the numbers from 1 to 10 together. In this case, 10! equals 3628800.

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  • 4. 

    If 1/2x+1/2(1/2x+1/2(1/2x+1/2(1/2x+1/2...=y What does x equal?

    • A.

      2/4

    • B.

      1/2

    • C.

      1/4

    • D.

      1

    Correct Answer
    D. 1
    Explanation
    The given equation represents an infinite geometric series with a common ratio of 1/2. To find the value of y, we can use the formula for the sum of an infinite geometric series: S = a / (1 - r), where S is the sum, a is the first term, and r is the common ratio. In this case, a = 1/2x and r = 1/2. Plugging these values into the formula, we get y = (1/2x) / (1 - 1/2) = (1/2x) / (1/2) = (1/2x) * (2/1) = 1/x. Therefore, y = 1/x. Since the answer is given as 1, we can conclude that x must equal 1.

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  • 5. 

    What's the only place in this world who's Fahrenheit and Celsius degrees can be equal?

    • A.

      Alaska at -50 degrees

    • B.

      Antarctica at -40 degrees

    • C.

      Hawaii at 100 degrees

    • D.

      Anywhere that exceeds freezing point

    Correct Answer
    B. Antarctica at -40 degrees
    Explanation
    Antarctica at -40 degrees is the only place in the world where Fahrenheit and Celsius degrees can be equal. This is because -40 degrees Fahrenheit is equal to -40 degrees Celsius. In all other options, the Fahrenheit and Celsius degrees are not equal.

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  • 6. 

    If x*x-2x-35=0 then x=?  

    • A.

      -35

    • B.

      2x^3

    • C.

      -5

    • D.

      7

    Correct Answer(s)
    C. -5
    D. 7
  • 7. 

    What is the square root of 3 to the square root of 2 power times the square root of 3 to the negative square root of 2 power?

    • A.

      100

    • B.

      10

    • C.

      1

    • D.

      10^3

    Correct Answer
    C. 1
    Explanation
    The given expression can be simplified as follows: square root of 3 to the square root of 2 power is equal to 3^(sqrt(2)). Similarly, square root of 3 to the negative square root of 2 power is equal to 3^(-sqrt(2)). Therefore, the given expression becomes 3^(sqrt(2)) * 3^(-sqrt(2)), which is equal to 3^(sqrt(2) - sqrt(2)). Since the exponent is zero, any number raised to the power of zero is equal to 1. Hence, the answer is 1.

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  • 8. 

    What is the square root of 2 to the square root of 2 power to the square root of 2 power?

    • A.

      2

    • B.

      4

    • C.

      8

    • D.

      16

    Correct Answer
    A. 2
    Explanation
    The square root of 2 to the square root of 2 power can be simplified as 2^(√2). Then, raising 2 to the power of √2 is equivalent to taking the square root of 2. Therefore, the square root of 2 to the square root of 2 power is equal to 2.

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  • 9. 

    What is the square root of 2 to the negative 9 plus 3 power?

    • A.

      1/4

    • B.

      1/8

    • C.

      2/8

    • D.

      1/2

    Correct Answer
    B. 1/8
    Explanation
    To simplify the expression, we need to evaluate the square root of 2 to the negative 9 plus 3 power. First, we simplify the exponent by adding -9 and 3, which gives us -6. Then, we take the square root of 2 to the power of -6. The square root of 2 is approximately 1.414, and raising it to the power of -6 gives us a very small number. Therefore, the answer is 1/8, as it is the only option that represents a small fraction.

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  • 10. 

    Draw 2 supplementary angles. One angle is x-15 degrees and one is 2x degrees. What is the value of x in degrees?

    • A.

      65 degrees

    • B.

      130 degrees

    • C.

      100 degrees

    • D.

      75 degrees

    Correct Answer
    A. 65 degrees
    Explanation
    Two angles are called supplementary if the sum of their measures is equal to 180 degrees. In this question, we are given two angles: one is x-15 degrees and the other is 2x degrees. To find the value of x, we need to set up an equation. The sum of the measures of the two angles is (x-15) + (2x) = 180. Simplifying this equation, we get 3x - 15 = 180. Adding 15 to both sides, we have 3x = 195. Dividing both sides by 3, we find x = 65 degrees. Therefore, the value of x is 65 degrees.

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Janaisa Harris |BA (Mathematics) |
Mathematics
Ms. 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. She is now broadening her educational impact by engaging in curriculum mapping for her county. This endeavor enriches her understanding of educational strategies and their implementation. With a strong commitment to quality education, she actively participates in the review process of educational quizzes, ensuring accuracy and relevance to the curriculum.

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  • Current Version
  • May 24, 2024
    Quiz Edited by
    ProProfs Editorial Team

    Expert Reviewed by
    Janaisa Harris
  • Apr 19, 2010
    Quiz Created by
    BRANDMAN
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