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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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Welcome to our "Test Your 6th Grade Math IQ Quiz"! This interactive quiz is designed to challenge your mathematical skills and knowledge at the 6th-grade level. Whether you're a student looking to sharpen your math abilities or an adult seeking to refresh your understanding of basic math concepts, this quiz is perfect for you.

• 1.

What is 49% of 130?

• A.

64

• B.

63

• C.

63.7

• D.

70

C. 63.7
Explanation
To calculate 49% of 130, you multiply 130 by 0.49 (which is the decimal equivalent of 49%).49% of 130=130Ã—0.49=63.749% of 130=130Ã—0.49=63.7Therefore, 49% of 13049% of 130 is 63.7

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• 2.

What is the prime factorization of 36?

• A.

2 x 2 x 3 x 3

• B.

2 x 2 x 9

• C.

2 x 3

• D.

4 x 9

A. 2 x 2 x 3 x 3
Explanation
The prime factorization of a number involves breaking it down into its prime factors. In this case, the number 36 can be broken down into 2 x 2 x 3 x 3. This means that 2 and 3 are the prime factors of 36, and they are repeated twice each.

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• 3.

If a \$100 item is discounted 25% and then that price is raised by 25%, what is the new price?

• A.

100

• B.

93.75

• C.

75

• D.

125

B. 93.75
Explanation
If a \$100 item is first discounted by 25% and then the discounted price is raised by 25%, you can calculate the new price as follows:

1. First, calculate the discounted price after a 25% discount:
Discounted Price = Original Price - (Discount Percentage * Original Price)
Discounted Price = \$100 - (0.25 * \$100)
Discounted Price = \$100 - \$25
Discounted Price = \$75

2. Now, calculate the price after raising the discounted price by 25%:
New Price = Discounted Price + (Raise Percentage * Discounted Price)
New Price = \$75 + (0.25 * \$75)
New Price = \$75 + \$18.75
New Price = \$93.75

So, the new price after the 25% discount and then a 25% raise is \$93.75.

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• 4.

Which of the examples demonstrates the Multiplicative Identity?

• A.

3 x 1 = 3

• B.

3 x (1/3) = 1

• C.

3 + (-3) = 0

• D.

None of the above

A. 3 x 1 = 3
Explanation
The example 3 x 1 = 3 demonstrates the Multiplicative Identity. The multiplicative identity is the number 1 in mathematics, which, when multiplied by any other number, leaves that number unchanged. In this example, when a number (3) is multiplied by 1, the result is the same number (3). This is because multiplying any number by 1 does not change the value of the number. Therefore, 3 x 1 = 3 represents the property of the Multiplicative Identity.

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• 5.

What is the cube of 12?

• A.

144

• B.

1728

• C.

120

• D.

1200

B. 1728
Explanation
The cube of a number is obtained by multiplying the number by itself thrice. In this case, the cube of 12 is calculated as 12 x 12 x 12, which equals 1728.

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• 6.

What is the measure of an angle that covers 5% of a circle?

• A.

50 Degrees

• B.

5 Degrees

• C.

9 Degrees

• D.

18 Degrees

D. 18 Degrees
Explanation
The measure of an angle that covers 5% of a circle can be found by multiplying the percentage (5%) by the total degrees in a circle (360 degrees) and dividing by 100. Therefore, 5% of 360 degrees is 18 degrees.

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• 7.

Approximately how many centimeters are in one foot?

• A.

90 Centimeters

• B.

2.4 Centimeters

• C.

30 Centimeters

• D.

52 Centimeters

C. 30 Centimeters
Explanation
One foot is equal to approximately 30 centimeters. This conversion is based on the fact that 1 foot is equal to 12 inches, and 1 inch is equal to 2.54 centimeters. Therefore, when we multiply 12 inches by 2.54 centimeters, we get approximately 30 centimeters.

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• 8.

What is the prime factorization of 264?

• A.

2 x 3 x 3 x 11

• B.

8 x 3 x 11

• C.

2 x 2 x 2 x 3 x 11

• D.

2 x 2 x 2 x 33

C. 2 x 2 x 2 x 3 x 11
• 9.

How do you write 0.013 in scientific notation?

• A.

1.3 x 10^-2

• B.

1.3 x 10^2

• C.

1.3 x 10^-1

• D.

1.3 x 10

A. 1.3 x 10^-2
Explanation
To write a number in scientific notation, we move the decimal point to the right or left until there is only one non-zero digit to the left of the decimal point. In this case, 0.013 can be written as 1.3 x 10^-2 because we moved the decimal point two places to the right to get the non-zero digit 1.3. The negative exponent indicates that the decimal point was moved to the left.

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• 10.

What is the square of 14?

• A.

3.74

• B.

28

• C.

140

• D.

196

D. 196
Explanation
The square of a number is obtained by multiplying the number by itself. In this case, the number is 14. Therefore, to find the square of 14, we multiply 14 by 14, which equals 196.

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• 11.

If the perimeter of a square is 20 centimeters, how long are its sides?

• A.

10 Centimeters

• B.

4.5 Centimeters

• C.

5 Centimeters

• D.

4 Centimeters

C. 5 Centimeters
Explanation
The perimeter of a square is the sum of all its sides. In this case, the perimeter is given as 20 centimeters. Since a square has all sides equal in length, we can divide the perimeter by 4 to find the length of each side. 20 divided by 4 is equal to 5, so each side of the square is 5 centimeters long.

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• 12.

What is the measure of the angle that covers 81% of a circle?

• A.

271.9 Degrees

• B.

81 Degrees

• C.

145.8 Degrees

• D.

291.6 Degrees

D. 291.6 Degrees
Explanation
The measure of the angle that covers 81% of a circle is 291.6 degrees. This can be determined by multiplying the percentage (81%) by the total degrees in a circle (360). Therefore, 81% of 360 is equal to 291.6 degrees.

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• 13.

Which number is divisible by 3?

• A.

192

• B.

196

• C.

197

• D.

292

A. 192
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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• Jul 16, 2024
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Expert Reviewed by
Janaisa Harris
• May 14, 2015
Quiz Created by
DanielCarig

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