Only Geniuses Can Crack This Maths Quiz

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1) If 3x = 666, then x = _____

If 3x = 666, we can solve for x by dividing both sides of the equation by 3. This gives us x = 666/3, which simplifies to x = 222. Therefore, the value of x in this equation is 222.

Explanation

If 3x = 666, we can solve for x by dividing both sides of the equation by 3. This gives us x = 666/3, which simplifies to x = 222. Therefore, the value of x in this equation is 222.

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Only Geniuses Can Crack This Maths Quiz - Quiz

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2) 2n = 20, then n = _____ (2n means 2 times n)

To find the value of n, we need to solve the equation 2n = 20. By dividing both sides of the equation by 2, we can isolate n. This gives us n = 10. Therefore, the value of n that satisfies the equation is 10.

Explanation

To find the value of n, we need to solve the equation 2n = 20. By dividing both sides of the equation by 2, we can isolate n. This gives us n = 10. Therefore, the value of n that satisfies the equation is 10.

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3) Fraction is basically same as division. So this fraction, 48/8 = _____

The given fraction 48/8 can be simplified by dividing 48 by 8, which equals 6.

Explanation

The given fraction 48/8 can be simplified by dividing 48 by 8, which equals 6.

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4) A rectangle has _____ right angles.

A rectangle has four right angles because by definition, a right angle measures 90 degrees. A rectangle is a quadrilateral with four sides and opposite sides that are equal in length. Since each corner of a rectangle forms a right angle, there are four right angles in total.

Explanation

A rectangle has four right angles because by definition, a right angle measures 90 degrees. A rectangle is a quadrilateral with four sides and opposite sides that are equal in length. Since each corner of a rectangle forms a right angle, there are four right angles in total.

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5) 10⁴ equals to 1 followed by how many zeros?

1

2

3

4

5

The number 104 is equal to 1 followed by 2 zeros. Therefore, the correct answer is 4, as it represents the number of zeros that follow the digit 1 in 104.

Explanation

The number 104 is equal to 1 followed by 2 zeros. Therefore, the correct answer is 4, as it represents the number of zeros that follow the digit 1 in 104.

6) Simplify 18/28 = _____ (write in fraction)

To simplify the fraction 18/28, we need to find the greatest common divisor (GCD) of the numerator and denominator, which is 2. By dividing both the numerator and denominator by 2, we get 9/14. Therefore, the simplified form of 18/28 is 9/14.

Explanation

To simplify the fraction 18/28, we need to find the greatest common divisor (GCD) of the numerator and denominator, which is 2. By dividing both the numerator and denominator by 2, we get 9/14. Therefore, the simplified form of 18/28 is 9/14.

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7) 2⁵ = _____

The given equation states that 25 is equal to a blank space. The answer provided is 32. Therefore, the blank space should be filled with the number 32 in order for the equation to be correct.

Explanation

The given equation states that 25 is equal to a blank space. The answer provided is 32. Therefore, the blank space should be filled with the number 32 in order for the equation to be correct.

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8) 15 x 2 - 3³ = _____

The given equation can be solved by following the order of operations (PEMDAS/BODMAS). First, we multiply 15 by 2, resulting in 30. Then, we subtract 33 from 30, which gives us -3. Therefore, the blank should be filled with -3. However, the given answer is 3, which is incorrect.

Explanation

The given equation can be solved by following the order of operations (PEMDAS/BODMAS). First, we multiply 15 by 2, resulting in 30. Then, we subtract 33 from 30, which gives us -3. Therefore, the blank should be filled with -3. However, the given answer is 3, which is incorrect.

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9) Sum of all the angles in an equilateral triangle = _____ degrees.

The sum of all the angles in any triangle is always 180 degrees. Since an equilateral triangle has three equal angles, each angle must measure 60 degrees. Therefore, the sum of all the angles in an equilateral triangle is 60 + 60 + 60 = 180 degrees.

Explanation

The sum of all the angles in any triangle is always 180 degrees. Since an equilateral triangle has three equal angles, each angle must measure 60 degrees. Therefore, the sum of all the angles in an equilateral triangle is 60 + 60 + 60 = 180 degrees.

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10) 57 + (12 + 41) x (4 - 4) = _____

The given equation involves addition and multiplication. However, the expression inside the parentheses, (4-4), evaluates to zero. Any number multiplied by zero is zero. Therefore, the entire expression inside the parentheses becomes zero. Adding this zero to 57 does not change the value, so the answer remains 57.

Explanation

The given equation involves addition and multiplication. However, the expression inside the parentheses, (4-4), evaluates to zero. Any number multiplied by zero is zero. Therefore, the entire expression inside the parentheses becomes zero. Adding this zero to 57 does not change the value, so the answer remains 57.

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11) The probability of rolling 5 on a regular die is _____

The probability of rolling a 5 on a regular die is 1 out of 6 possible outcomes. This is because a regular die has 6 sides, numbered from 1 to 6, and each side has an equal chance of landing face up when rolled. Therefore, the probability of rolling a specific number, in this case, 5, is 1 out of the 6 possible outcomes, which can be represented as 1/6.

Explanation

The probability of rolling a 5 on a regular die is 1 out of 6 possible outcomes. This is because a regular die has 6 sides, numbered from 1 to 6, and each side has an equal chance of landing face up when rolled. Therefore, the probability of rolling a specific number, in this case, 5, is 1 out of the 6 possible outcomes, which can be represented as 1/6.

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12) The probability of rolling a 7 with an octahedron die is _____

The octahedron die has 8 faces numbered 1 to 8. To calculate the probability of rolling a 7, we need to determine the number of favorable outcomes (rolling a 7) and divide it by the total number of possible outcomes (rolling any number from 1 to 8). Since there is only one face with the number 7, the number of favorable outcomes is 1. Therefore, the probability of rolling a 7 is 1/8.

Explanation

The octahedron die has 8 faces numbered 1 to 8. To calculate the probability of rolling a 7, we need to determine the number of favorable outcomes (rolling a 7) and divide it by the total number of possible outcomes (rolling any number from 1 to 8). Since there is only one face with the number 7, the number of favorable outcomes is 1. Therefore, the probability of rolling a 7 is 1/8.

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13) 58 + (22 - 4) x (36 - 34) = _____

The given equation follows the order of operations (PEMDAS/BODMAS). First, we solve the expression within the parentheses: 22 - 4 = 18, and 36 - 34 = 2. Then, we multiply the two results: 18 x 2 = 36. Finally, we add 58 to the product: 58 + 36 = 94. Therefore, the blank should be filled with the number 94.

Explanation

The given equation follows the order of operations (PEMDAS/BODMAS). First, we solve the expression within the parentheses: 22 - 4 = 18, and 36 - 34 = 2. Then, we multiply the two results: 18 x 2 = 36. Finally, we add 58 to the product: 58 + 36 = 94. Therefore, the blank should be filled with the number 94.

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14) Simplify 11/15 = _____

The given equation is already simplified. The fraction 11/15 cannot be simplified any further because 11 and 15 do not have any common factors other than 1. Therefore, the given fraction is already in its simplest form.

Explanation

The given equation is already simplified. The fraction 11/15 cannot be simplified any further because 11 and 15 do not have any common factors other than 1. Therefore, the given fraction is already in its simplest form.

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15) 40 x 6³ = _____

The given question asks for the product of 40 multiplied by 216. To find the answer, we multiply the two numbers together. By performing the calculation, we get the result of 8640.

Explanation

The given question asks for the product of 40 multiplied by 216. To find the answer, we multiply the two numbers together. By performing the calculation, we get the result of 8640.

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16) Simplify 36/63 = _____

The given question asks to simplify the fraction 36/63. To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator, and then divide both by this GCD. In this case, the GCD of 36 and 63 is 9. So, when we divide both the numerator and denominator by 9, we get 4/7. Therefore, the simplified form of 36/63 is 4/7.

Explanation

The given question asks to simplify the fraction 36/63. To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator, and then divide both by this GCD. In this case, the GCD of 36 and 63 is 9. So, when we divide both the numerator and denominator by 9, we get 4/7. Therefore, the simplified form of 36/63 is 4/7.

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17) If two angles of an isoceles triangle are 32 degrees each, the third angle is _____ degrees.

An isosceles triangle has two equal angles. Since two angles of the triangle are given as 32 degrees each, the third angle can be found by subtracting the sum of the two given angles from 180 degrees (the total sum of angles in a triangle). Therefore, 180 - (32 + 32) = 116 degrees.

Explanation

An isosceles triangle has two equal angles. Since two angles of the triangle are given as 32 degrees each, the third angle can be found by subtracting the sum of the two given angles from 180 degrees (the total sum of angles in a triangle). Therefore, 180 - (32 + 32) = 116 degrees.

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18) The probability of rolling 5 OR an even number on a regular die is _____

The probability of rolling 5 OR an even number on a regular die can be calculated by finding the probability of rolling a 5 and the probability of rolling an even number separately, and then adding them together. The probability of rolling a 5 on a regular die is 1/6, since there is only one 5 on the die out of six possible outcomes. The probability of rolling an even number is 3/6, since there are three even numbers (2, 4, and 6) out of six possible outcomes. Adding these probabilities together gives us 4/6, which can also be simplified to 2/3.

Explanation

The probability of rolling 5 OR an even number on a regular die can be calculated by finding the probability of rolling a 5 and the probability of rolling an even number separately, and then adding them together. The probability of rolling a 5 on a regular die is 1/6, since there is only one 5 on the die out of six possible outcomes. The probability of rolling an even number is 3/6, since there are three even numbers (2, 4, and 6) out of six possible outcomes. Adding these probabilities together gives us 4/6, which can also be simplified to 2/3.

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19) The probability of rolling an even number on a regular die is _____

The probability of rolling an even number on a regular die is 1/2 because there are 3 even numbers (2, 4, and 6) out of a total of 6 possible outcomes (1, 2, 3, 4, 5, and 6). Therefore, the ratio of favorable outcomes to total outcomes is 3/6, which simplifies to 1/2.

Explanation

The probability of rolling an even number on a regular die is 1/2 because there are 3 even numbers (2, 4, and 6) out of a total of 6 possible outcomes (1, 2, 3, 4, 5, and 6). Therefore, the ratio of favorable outcomes to total outcomes is 3/6, which simplifies to 1/2.

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20) 6 + 8 x 10 / 2 - 2 = p , then p = _____ Remember : the symbol " / " means divide. Fraction = Division

When solving this equation, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right). In this equation, there are no parentheses or exponents, so we move on to multiplication and division. We multiply 8 by 10, which equals 80, and then divide it by 2, resulting in 40. Next, we add 6 to 40, giving us 46. Finally, we subtract 2 from 46, which equals 44. Therefore, the value of p is 44.

Explanation

When solving this equation, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right). In this equation, there are no parentheses or exponents, so we move on to multiplication and division. We multiply 8 by 10, which equals 80, and then divide it by 2, resulting in 40. Next, we add 6 to 40, giving us 46. Finally, we subtract 2 from 46, which equals 44. Therefore, the value of p is 44.

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