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The Number System Practice Questions

Common Core (US) · Common Core Math Grade 7 · 128 free MCQs with instant results and detailed explanations.

128
Total
36
Easy
64
Medium
28
Hard

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Sample Questions from The Number System

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Q1
Easy
Which of the following numbers is an irrational number?
A. 3.14
B. √2
C. 7
D. 0.75
Show Answer & Explanation
Correct Answer: B
The number √2 is irrational because it cannot be expressed as a fraction of two integers. In contrast, 3.14, 7, and 0.75 can all be expressed as fractions.
Q2
Easy
What is the sum of -5 and 8?
A. 3
B. -3
C. 13
D. 5
Show Answer & Explanation
Correct Answer: A
Adding -5 and 8 gives 8 - 5, which equals 3. This is because adding a negative number is the same as subtracting its absolute value.
Q3
Easy
Which expression represents the absolute value of -9?
A. -9
B. 9
C. 0
D. 9 or -9
Show Answer & Explanation
Correct Answer: B
The absolute value of a number is its distance from zero on the number line, ignoring the sign. Therefore, the absolute value of -9 is 9.
Q4
Medium
Which of the following fractions is equivalent to 0.75?
A. 3/4
B. 1/3
C. 2/5
D. 5/6
Show Answer & Explanation
Correct Answer: A
0.75 can be expressed as 75/100, which simplifies to 3/4. Therefore, the correct answer is option A.
Q5
Medium
Which of the following sets of numbers includes only rational numbers?
A. √2, 0.5, -3
B. 3.14, 0, -1.25
C. π, 2/3, 1.414
D. √3, 0.333..., 5
Show Answer & Explanation
Correct Answer: B
Rational numbers are those that can be expressed as the quotient of two integers, where the denominator is not zero. The numbers in option B are all rational: 3.14 (approximation of π), 0 (0/1), and -1.25 (-5/4).
Q6
Medium
If 3x - 5 = 16, what is the value of x?
A. 7
B. 9
C. 11
D. 14
Show Answer & Explanation
Correct Answer: A
To isolate x, first add 5 to both sides, giving 3x = 21. Then, divide by 3 to find x = 7.
Q7
Medium
Which of the following fractions is equivalent to 0.75?
A. 3/4
B. 2/5
C. 1/3
D. 5/8
Show Answer & Explanation
Correct Answer: A
0.75 can be expressed as 75/100, which simplifies to 3/4 when divided by 25. Thus, the correct fraction is 3/4.
Q8
Hard
If the sum of a number and its reciprocal is 2.5, what is the number?
A. 2
B. 1
C. 0.5
D. 3
Show Answer & Explanation
Correct Answer: A
Let the number be x. Then, the equation is x + 1/x = 2.5. Solving this gives x = 2, making option A correct.
Q9
Hard
Which of the following expressions represents the sum of -3.5 and the absolute value of -4.2?
A. 0.7
B. -0.7
C. 0.3
D. -0.3
Show Answer & Explanation
Correct Answer: A
The absolute value of -4.2 is 4.2. Adding -3.5 to 4.2 gives us -3.5 + 4.2 = 0.7.
Q10
Hard
What is the result of multiplying -3/4 by 2/3, and then adding 5/6 to the product?
A. 1/2
B. 1/3
C. 1/4
D. 2/3
Show Answer & Explanation
Correct Answer: B
To find the result, first multiply -3/4 by 2/3 which gives -1/2. Then add 5/6 to -1/2. Converting -1/2 to sixths gives -3/6, so adding yields 2/6 or 1/3.

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More Common Core Math Grade 7 Chapters

1 Ratios and Proportional Relationships
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4 Statistics and Probability
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The Number System — Common Core (US) Common Core Math Grade 7 Practice Questions Online

This page contains 128 practice MCQs for the chapter The Number System in Common Core (US) Common Core Math Grade 7. The questions are organized by difficulty — 36 easy, 64 medium, 28 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.