Hard Maths Questions Quiz!
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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.
- 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 humansExplanation
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.Rate this question:
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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. 10Explanation
To find the value of x when y = 10 in the equation y = log(x), you can use the properties of logarithms. In this case, you're looking for the value of x such that log(x) = 10.
The logarithm with a base of 10 is commonly used and is called the common logarithm, denoted as log10. So, you can rewrite the equation as:
log10(x) = 10
Now, to solve for x, you can use the fact that log10(10) = 1:
log10(x) = log10(10)
Since the logarithm on both sides has the same base (log10), you can equate the expressions inside the logarithms:
x = 10
So, when y = 10 in the equation y = log(x), the value of x is 10.Rate this question:
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- 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 3628800Explanation
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.Rate this question:
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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. 1Explanation
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.Rate this question:
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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 degreesExplanation
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.Rate this question:
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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. 7Explanation
The equation x^2 - 2x - 35 = 0 can be factored as (x - 7)(x + 5) = 0. By setting each factor equal to zero, we find two possible solutions: x = 7 and x = -5. Therefore, the correct answer is -5 and 7.Rate this question:
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- 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. 1Explanation
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.Rate this question:
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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. 2Explanation
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.Rate this question:
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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. 1/8Explanation
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.Rate this question:
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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 degreesExplanation
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.Rate this question:
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.jpg "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?")
.jpg "If 1/2x+1/2(1/2x+1/2(1/2x+1/2(1/2x+1/2...=y
What does x equal?")
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Current Version
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Dec 15, 2023Quiz Edited by
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Expert Reviewed by
Janaisa Harris -
Apr 19, 2010Quiz Created by
BRANDMAN
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