Introduction to rational numbers Quiz - ICSE Class 7 Mathematics

Free practice quiz: Introduction to rational numbers (ICSE Class 7 Mathematics). 46 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This ICSE Class 7 Mathematics practice quiz has 46 multiple-choice questions on Introduction to rational numbers, and 46 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

Sample questions

1. If a rational number can be expressed as p/q where p and q are integers and q is not equal to zero, what is the value of q if the rational number is 7?

   1. 0
   2. 1
   3. 7
   4. Cannot be determined
   Show answer

   Answer: B. 1

   Any integer can be expressed as a rational number by placing it over 1. So, 7 can be written as 7/1. Therefore, q = 1.

2. If a rational number is represented as p/q where p = 0 and q = 10, what is the value of this rational number?

   1. 10
   2. 0
   3. 1/0
   4. Undefined
   Show answer

   Answer: B. 0

   Any rational number with a numerator of 0 and a non-zero denominator is equal to 0. Therefore, 0/10 = 0.

3. Which of the following statements about the number 0.5 is true?

   1. It is not a rational number.
   2. It can be written as 1/2.
   3. It can only be written as 5/10.
   4. It is equal to 0.
   Show answer

   Answer: B. It can be written as 1/2.

   The decimal 0.5 can be expressed as 5/10, which in its simplest form is 1/2. Both 0.5 and 1/2 are representations of the same rational number.

4. The set of natural numbers is a subset of the set of:

   1. Integers
   2. Rational numbers
   3. Whole numbers
   4. All of the above
   Show answer

   Answer: D. All of the above

   Natural numbers (1, 2, 3, ...) are a subset of whole numbers (0, 1, 2, 3, ...), integers (..., -2, -1, 0, 1, 2, ...), and rational numbers (numbers that can be expressed as p/q).

5. If a rational number is -1.5, what is its equivalent fraction in simplest form?

   1. -15/10
   2. -3/2
   3. 3/-2
   4. -15/10 and -3/2
   Show answer

   Answer: B. -3/2

   The decimal -1.5 can be written as -15/10. To simplify, divide the numerator and denominator by their greatest common divisor, which is 5. -15 ÷ 5 / 10 ÷ 5 = -3/2.

More questions in this quiz

Answers and explanations are in the full quiz.

1. Which of the following is NOT a rational number?
2. What is the additive inverse of the rational number -5/9?
3. Convert the decimal 0.75 into a rational number in its simplest form.
4. If a rational number is represented as p/q in its standard form, and p = -15 and q = 25, what is the standard form of this rational number?
5. Which of the following is the largest among the rational numbers: 2/3, 5/6, 7/9?
6. The rational number 0 can be written as:
7. Which statement is true about the rational number -7/8?
8. What is the reciprocal of the rational number 2/(-5)?
9. Which of the following pairs of rational numbers are equivalent: (3/4, 6/8) and (-1/2, 2/-4)?
10. Which rational number lies between 1/2 and 3/4?
11. If a rational number is -4/(-7), what is its value in standard form?
12. Express the mixed number $3 \frac{1}{4}$ as an improper rational number.
13. Which of the following rational numbers is closest to zero on the number line?
14. If a rational number is 0.125, what is it in its simplest fractional form?
15. What is the additive identity for the set of rational numbers?
16. If a rational number is represented by $p/q$ in simplest form, and $p = -18$ and $q = 24$, what is the simplest form?
17. What is the reciprocal of the rational number -1?
18. Which rational number has a terminating decimal representation?
19. The sum of a rational number and its additive inverse is always:
20. Which of the following is equivalent to -3/5?
21. If a rational number is 5, what is its representation as p/q in standard form?
22. The product of a rational number and its reciprocal is always:
23. What is the value of the rational number if its numerator is 10 and it is equivalent to 2/5?
24. Which of the following represents the number 2 as a rational number in standard form?
25. What is the value of 'x' if 3/7 = x/21?
26. Which of the following rational numbers, when converted to a decimal, results in a non-terminating repeating decimal?
27. The rational number -1/4 is equal to which of the following?
28. Which rational number is the smallest among -0.1, -0.01, -0.2, -0.001?
29. If a rational number is represented as p/q where q = -5 and the number is equivalent to 2/5, what is the value of p?
30. What is the multiplicative identity for rational numbers?
31. Express the repeating decimal $0.333...$ as a rational number in its simplest form.
32. Which rational number is NOT equivalent to 1/2?
33. Which of the following is the smallest rational number?
34. What property states that for any two rational numbers a and b, a + b = b + a?
35. If a rational number is 1/100, what is its decimal representation?
36. Which rational number is equal to 0?
37. Which rational number is the largest among 3/4, 5/6, 7/8?
38. What is the additive inverse of -3/(-4)?
39. The rational number 1.75 can be written as:
40. If a rational number is represented as p/q in simplest form, and p = 12 and q = -30, what is the simplest form?
41. What is the value of the rational number 100/(-20)?

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