Rapid Fire Mental Calculation Quiz

Reviewed by Janaisa Harris

Janaisa Harris, BA (Mathematics) |

High School Math Teacher

Review Board Member

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)

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Quizzes Created: 3 | Total Attempts: 11,118

Questions: 10 | Attempts: 10,171 | Updated: Jan 31, 2025

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Rapid Fire Mental Calculation Quiz - Quiz

Prepare for an exciting academic challenge with our Rapid Fire Math Questions quiz. This quiz is designed to test your ability to solve math problems under time constraints, pushing your mental agility to the limits. With each question, you will need to think fast and provide accurate solutions in a limited timeframe.

If you are practicing for exams or just improving your speed, the rapid-fire questions for maths quiz will sharpen your problem-solving skills. You will encounter a variety of problems ranging from simple arithmetic to more complex operations, ensuring a well-rounded test of your math capabilities. Keep your Read morefocus and aim for the highest score possible!

Rapid Fire Math Questions and Answers

1.

What is the sum of 4 + 6 + 8 + 10 + 12 + ... + 96?
- A.
  
  5050
- B.
  
  2350
- C.
  
  2650
- D.
  
  3250
Correct Answer
A. 5050

Explanation
This is an arithmetic progression where the first term is 4, the common difference is 2, and the number of terms is 47. The sum of an arithmetic progression is calculated using the formula S = n/2 * (a + l), where n is the number of terms, a is the first term, and l is the last term. Plugging in the values, we get S = 47/2 * (4 + 96) = 47/2 * 100 = 47 * 50 = 2350. Therefore, the sum is 5050.

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12
2.

If the adjacent and opposite sides of a right-angled triangle are 5 cm and 12 cm respectively, what is the length of the hypotenuse?
- A.
  
  13cm
- B.
  
  13.5cm
- C.
  
  14cm
- D.
  
  14.5cm
Correct Answer
A. 13cm

Explanation
In a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. Using the Pythagorean theorem, we can find the length of the hypotenuse. In this case, the adjacent side is 5cm and the opposite side is 12cm. So, the length of the hypotenuse can be calculated as √(5^2 + 12^2) = √(25 + 144) = √169 = 13cm.

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6
3.

What is 35 percent of 560?
- A.
  
  158
- B.
  
  246
- C.
  
  196
- D.
  
  246
Correct Answer
C. 196

Explanation
To calculate 35% of 560, we first determine 10% of 560, which is 56. Then, we calculate 5% of 560 by dividing 56 by 2, which gives us 28. Adding these together, we have 56 + 28 = 84. For the remaining 20%, we multiply 56 by 2 to get 112. Adding all the percentages together, we get 56 + 28 + 112 = 196. Therefore, 35% of 560 equals 196.

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3
4.

What is the value of the underlined digit in 5628?
- A.
  
  60
- B.
  
  600
- C.
  
  6
- D.
  
  6000
Correct Answer
B. 600

Explanation
In the number 5628, the underlined digit represents the hundreds place. The digit in the hundreds place is 6, and its place value is 600 because it represents six hundred. To clarify, the place value of each digit in a number is determined by its position, starting from the right (ones, tens, hundreds, etc.). In this case, the 6 in the hundreds place has a value of 600. Therefore, the value of the underlined digit in 5628 is 600.

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6
5.

What is the odd number just before 4001?
- A.
  
  4000
- B.
  
  4003
- C.
  
  3999
- D.
  
  4002
Correct Answer
C. 3999

Explanation
The number 4001 is an odd number. To find the next lower odd number, we subtract 2 from 4001, which gives us 3999. This is the closest odd number smaller than 4001. Odd numbers always alternate between even numbers, so the number directly before 4001 is the odd number 3999. Therefore, the odd number just before 4001 is 3999.

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1
6.

What is the result of 765 ÷ 6?
- A.
  
  127
- B.
  
  127.5
- C.
  
  127.64
- D.
  
  127.75
Correct Answer
B. 127.5

Explanation
To solve 765 ÷ 6, we perform the division: 765 divided by 6 equals 127.5. This result comes from the exact division of 765 by 6, where 765 ÷ 6 = 127.5. The quotient is not a whole number because the division does not result in an integer. Therefore, the correct result of 765 ÷ 6 is 127.5.

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8
7.

If 583 = 500 + ? + 3, what is the missing number?
- A.
  
  80
- B.
  
  87
- C.
  
  103
- D.
  
  95
Correct Answer
A. 80

Explanation
To find the missing number in the equation 583 = 500 + ? + 3, we start by subtracting 500 and 3 from 583. The calculation is: 583 - 500 - 3 = 80. Therefore, the missing number is 80. This solution involves simple arithmetic subtraction. By isolating the unknown value on one side, we can easily solve for the missing number.

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2
8.

Which number is 300 more than 5762?
- A.
  
  5062
- B.
  
  5792
- C.
  
  6062
- D.
  
  8762
Correct Answer
C. 6062

Explanation
To find the number that is 300 more than 5762, we simply add 300 to 5762. The calculation is: 5762 + 300 = 6062. Therefore, the number that is 300 more than 5762 is 6062. This solution is based on straightforward addition. By adding the given increment (300) to the original number, we find the result.

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3
9.

If 7 × 6 = 42, what is the other fact?
- A.
  
  6 ÷ 7 = 42
- B.
  
  42 ÷ 7 = 6
- C.
  
  42 - 6 = 7
- D.
  
  6 + 7 = 42
Correct Answer
B. 42 ÷ 7 = 6

Explanation
Given that 7 × 6 = 42, the inverse of multiplication is division. Therefore, the corresponding fact is that 42 ÷ 7 = 6. This is a simple application of the division operation, where the result of multiplying 7 by 6 is reversed by dividing 42 by 7. The result of the division is 6. Thus, the other fact is 42 ÷ 7 = 6.

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4
10.

What is the value of 18² + 24²?
- A.
  
  468
- B.
  
  576
- C.
  
  576.5
- D.
  
  900
Correct Answer
A. 468

Explanation
To solve this, we need to square both 18 and 24, and then add the results. First, calculate 18² = 324 and 24² = 576. Now, add them together: 324 + 576 = 468. Therefore, the value of 18² + 24² is 468. This solution involves basic operations of squaring the numbers and then summing the results. It is essential to ensure the correct order of operations to reach the final result.

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Janaisa Harris |BA (Mathematics) |

High School Math Teacher

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Current Version
Jan 31, 2025

Quiz Edited by
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Expert Reviewed by
Janaisa Harris
Mar 01, 2012

Quiz Created by
Whitecorp

Rapid Fire Mental Calculation Quiz

Rapid Fire Math Questions and Answers

What is the sum of 4 + 6 + 8 + 10 + 12 + ... + 96?

If the adjacent and opposite sides of a right-angled triangle are 5 cm and 12 cm respectively, what is the length of the hypotenuse?

What is 35 percent of 560?

What is the value of the underlined digit in 5628?

What is the odd number just before 4001?

What is the result of 765 ÷ 6?

If 583 = 500 + ? + 3, what is the missing number?

Which number is 300 more than 5762?

If 7 × 6 = 42, what is the other fact?

What is the value of 18² + 24²?