# A Simple Math IQ Quiz

Reviewed by Janaisa Harris
Janaisa Harris, BA-Mathematics |
Mathematics Expert
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 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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Ready to put your math IQ to the test? Dive into our 'Simple Math IQ Quiz' and discover the fun side of math! This quiz is designed to challenge your mathematical skills with a range of questions that cover various concepts. Whether you're a math whiz or just looking to sharpen your skills, this quiz is a fantastic way to engage your brain and boost your numerical prowess. Explore a mix of problems and see how you fare. It's not just a quiz; it's an opportunity to enjoy the world of numbers while enhancing your math IQ. Give it a Read moretry and enjoy the journey of mathematical discovery!

• 1.

### If a = 1.9 and b = 0.6, what is a/b (round to 2 decimal places)?

• A.

0.32

• B.

2.5

• C.

3.17

• D.

1.3

C. 3.17
Explanation
To find the value of a/b, we divide the value of a (1.9) by the value of b (0.6). Dividing 1.9 by 0.6 gives us approximately 3.17 when rounded to 2 decimal places. Therefore, the correct answer is 3.17.

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• 2.

### How much is 1/4 of the sum of 260 and 64?

• A.

324

• B.

16

• C.

65

• D.

81

D. 81
Explanation
To find 1/4 of the sum of 260 and 64, we first need to calculate the sum which is 324. Then, we divide this sum by 4 to find the 1/4 value. Therefore, 1/4 of 324 is 81.

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• 3.

### Which number is evenly divisible by 7?

• A.

674

• B.

672

• C.

673

• D.

671

B. 672
Explanation
672 is evenly divisible by 7 because it can be divided by 7 without leaving a remainder.

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• 4.

### What is 2/3 of 192?

• A.

108

• B.

118

• C.

138

• D.

128

D. 128
Explanation
To find 2/3 of 192, we can multiply 192 by 2 and then divide the result by 3. This gives us (192 * 2) / 3 = 384 / 3 = 128. Therefore, the correct answer is 128.

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• 5.

### How many feet are in 2/3 of a mile?

• A.

1,760 Feet

• B.

8,520 Feet

• C.

5,280 Feet

• D.

3,520 Feet

D. 3,520 Feet
Explanation
There are 5,280 feet in a mile. To find 2/3 of a mile, we can multiply 5,280 by 2 and then divide by 3. This gives us 3,520 feet, which is the correct answer.

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• 6.

### In how many different ways can the cars of a three-car train be arranged?

• A.

6

• B.

10

• C.

30

• D.

20

A. 6
Explanation
To calculate the number of different ways the cars of a three-car train can be arranged, you can use the concept of permutations. In this case, you want to arrange three distinct cars, so you would use a permutation of 3 objects taken 3 at a time.

The formula for permutations is:

[P(n, r) = frac{n!}{(n - r)!}]

where:
- (P(n, r)) is the number of permutations of (n) objects taken (r) at a time.
- (n!) is the factorial of (n), which is the product of all positive integers from 1 to (n).
- ((n - r)!) is the factorial of (n - r).

For your three-car train, you have three cars, so (n = 3), and you want to arrange all three, so (r = 3).

Using the permutation formula:

[P(3, 3) = frac{3!}{(3 - 3)!} = frac{3!}{0!} = frac{6}{1} = 6]

There are 6 different ways to arrange the cars of the three-car train.

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• 7.

### What's the width of a cube whose height is 10 inches?

• A.

20 Inches

• B.

10 Inches

• C.

100 Inches

• D.

5 Inches

B. 10 Inches
Explanation
The width of a cube is equal to its height, so if the height of the cube is 10 inches, then the width would also be 10 inches.

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• 8.

### How would you write 4^3 (4 to the 3rd power) without an exponent?

• A.

16

• B.

64

• C.

12

• D.

43

B. 64
Explanation
To write 4^3 without an exponent, we need to multiply 4 by itself three times. This can be written as 4 Ã— 4 Ã— 4, which equals 64.

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• 9.

### Which of the examples below shows the "Multiplicative Inverse"?

• A.

2 + (-2) = 0

• B.

2 x (1/2) = 1

• C.

2 + 0 = 2

• D.

2 x 0 = 0

B. 2 x (1/2) = 1
Explanation
The example 2 x (1/2) = 1 shows the "Multiplicative Inverse" because when a number is multiplied by its multiplicative inverse, the result is always 1. In this case, 2 is multiplied by the multiplicative inverse of 2, which is 1/2, resulting in 1.

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• 10.

### What is the prime factorization of 100?

• A.

10 x 10

• B.

2 x 2 x 5 x 5

• C.

2 x 2 x 25

• D.

2 x 5

B. 2 x 2 x 5 x 5
Explanation
The prime factorization of 100 is 2 x 2 x 5 x 5 because it can be expressed as a product of prime numbers. The number 100 can be divided by 2, resulting in 50. Then, 50 can be divided by 2 again, resulting in 25. Finally, 25 can be divided by 5, resulting in 5. Therefore, the prime factorization of 100 is 2 x 2 x 5 x 5.

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Janaisa Harris |BA-Mathematics |
Mathematics Expert
Ms. Janaisa Harris, an experienced educator, has devoted 4 years to teaching high school math and 6 years to tutoring. She holds a 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
• Oct 19, 2023
Quiz Edited by
ProProfs Editorial Team

Expert Reviewed by
Janaisa Harris
• May 14, 2015
Quiz Created by
Thames

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