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The Number System Practice Questions

Common Core (US) · Common Core Math Grade 6 · 132 free MCQs with instant results and detailed explanations.

132
Total
34
Easy
66
Medium
32
Hard

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Sample Questions from The Number System

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Q1
Easy
Which of the following numbers is closest to 0 on the number line?
A. -1
B. 1
C. -0.5
D. 2
Show Answer & Explanation
Correct Answer: C
-0.5 is closer to 0 than -1 or 1, as it is less negative and more positive than -1.
Q2
Easy
If you have the number 5.8, which of the following fractions is equivalent to it?
A. 58/10
B. 58/100
C. 5/8
D. 8/5
Show Answer & Explanation
Correct Answer: A
5.8 can be expressed as the fraction 58/10 since it has one decimal place which corresponds to a denominator of 10.
Q3
Easy
What is the value of -3 + 6?
A. 3
B. -9
C. 9
D. 0
Show Answer & Explanation
Correct Answer: A
Adding -3 to 6 gives 3, as you move 3 units left from 6 on the number line.
Q4
Medium
What is the absolute value of -7?
A. 7
B. -7
C. 0
D. 14
Show Answer & Explanation
Correct Answer: A
The absolute value of a number is its distance from zero on the number line, regardless of direction. Thus, the absolute value of -7 is 7.
Q5
Medium
Which value makes the equation 2x + 3 = 11 true?
A. 4
B. 5
C. 3
D. 6
Show Answer & Explanation
Correct Answer: A
To solve for x, subtract 3 from both sides to get 2x = 8. Then, divide both sides by 2, resulting in x = 4.
Q6
Medium
Which of the following numbers is a rational number?
A. 0.75
B. π
C. √2
D. e
Show Answer & Explanation
Correct Answer: A
A rational number is any number that can be expressed as a fraction of two integers. The number 0.75 can be expressed as 3/4, hence it is rational.
Q7
Medium
What is the result of adding the rational numbers 3/4 and 2/3?
A. 17/12
B. 13/12
C. 1/2
D. 1
Show Answer & Explanation
Correct Answer: A
To add 3/4 and 2/3, we find a common denominator. The least common multiple of 4 and 3 is 12. Converting each fraction, we get 9/12 + 8/12 = 17/12.
Q8
Hard
A number is divided by 3 and the result is 15. What is the original number?
A. 45
B. 30
C. 12
D. 18
Show Answer & Explanation
Correct Answer: A
To find the original number, you multiply the result by 3. Since the result is 15, the calculation is 15 * 3 = 45.
Q9
Hard
If a certain fraction is equivalent to 3/4, and the denominator is 20, what is the numerator of the fraction?
A. 15
B. 12
C. 18
D. 10
Show Answer & Explanation
Correct Answer: A
To find the numerator, set up the proportion 3/4 = x/20. Cross-multiplying gives 4x = 60, leading to x = 15.
Q10
Hard
A teacher has 120 marbles, which are either red or blue. If the ratio of red marbles to blue marbles is 3:5, how many blue marbles does she have?
A. 75
B. 45
C. 60
D. 30
Show Answer & Explanation
Correct Answer: A
To find the number of blue marbles, we first calculate the total parts in the ratio (3 + 5 = 8). Each part represents 120 marbles / 8 parts = 15 marbles per part. Therefore, the number of blue marbles is 5 parts * 15 marbles/part = 75.

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More Common Core Math Grade 6 Chapters

1 Ratios and Proportional Relationships
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The Number System — Common Core (US) Common Core Math Grade 6 Practice Questions Online

This page contains 132 practice MCQs for the chapter The Number System in Common Core (US) Common Core Math Grade 6. The questions are organized by difficulty — 34 easy, 66 medium, 32 hard — so you can choose the right level for your preparation.

Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit.