Operations on rational numbers & decimals Quiz - ICSE Class 7 Mathematics

Free practice quiz: Operations on rational numbers & decimals (ICSE Class 7 Mathematics). 51 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This ICSE Class 7 Mathematics practice quiz has 51 multiple-choice questions on Operations on rational numbers & decimals, and 51 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. What is the value of $(-3.5) \times (-2) + 1.5$?

   1. 8.5
   2. 7.5
   3. 6.5
   4. 5.5
   Show answer

   Answer: A. 8.5

   First, multiply $-3.5$ by $-2$. The product of two negative numbers is positive. So, $(-3.5) \times (-2) = 7.0$. Then, add $1.5$ to $7.0$. $7.0 + 1.5 = 8.5$. Therefore, the value is $8.5$.

2. If $x = -1.5$ and $y = 2.5$, what is $x \times y$?

   1. $-3.75$
   2. $3.75$
   3. $-2.75$
   4. $2.75$
   Show answer

   Answer: A. $-3.75$

   Multiply the numbers as if they were positive: $1.5 \times 2.5$. $15 \times 25 = 375$. Since one number is negative and the other is positive, their product will be negative. There is one decimal place in $1.5$ and one in $2.5$, so there will be two decimal places in the product. Thus, $x \times y = -3.75$.

3. What is the sum of $\frac{1}{3}$ and $\frac{2}{5}$?

   1. $\frac{3}{8}$
   2. $\frac{11}{15}$
   3. $\frac{7}{15}$
   4. $\frac{1}{2}$
   Show answer

   Answer: B. $\frac{11}{15}$

   To add fractions, find a common denominator. The least common multiple of 3 and 5 is 15. Rewrite $\frac{1}{3}$ as $\frac{1 \times 5}{3 \times 5} = \frac{5}{15}$. Rewrite $\frac{2}{5}$ as $\frac{2 \times 3}{5 \times 3} = \frac{6}{15}$. Now, add the fractions: $\frac{5}{15} + \frac{6}{15} = \frac{5+6}{15} = \frac{11}{15}$.

4. Calculate the product of $-0.5$ and $-2.5$.

   1. 1.25
   2. -1.25
   3. 0.125
   4. -0.125
   Show answer

   Answer: A. 1.25

   When multiplying two negative numbers, the result is positive. Multiply $0.5$ by $2.5$. $5 \times 25 = 125$. Since there is one decimal place in $0.5$ and one in $2.5$, the product has $1+1=2$ decimal places. So, the product is $1.25$.

5. If $x = -1.2$ and $y = -0.3$, what is $x \times y$?

   1. 0.36
   2. -0.36
   3. 3.6
   4. -3.6
   Show answer

   Answer: A. 0.36

   When multiplying two negative numbers, the result is positive. Multiply $1.2$ by $0.3$. $12 \times 3 = 36$. Since there is one decimal place in $1.2$ and one in $0.3$, the product will have $1+1=2$ decimal places. So, the product is $0.36$.

More questions in this quiz

Answers and explanations are in the full quiz.

1. The sum of two rational numbers is $-1.25$. If one of the rational numbers is $0.5$, find the other rational number.
2. If $P = \frac{2}{3}$ and $Q = \frac{3}{4}$, what is $P \div Q$?
3. Simplify: $3.14 - (0.5 imes 2) + 1.05$
4. What is the value of $\frac{3}{4} + \frac{1}{2}$?
5. Find the product of $2.5$ and $0.4$.
6. What is the result of $\frac{5}{6} - \frac{1}{3}$?
7. Calculate: $(-4.8) \div 0.6$
8. What is the sum of $\frac{1}{4}$ and $\frac{3}{8}$?
9. Simplify: $5.6 - 2.1 + 3.4$
10. What is the value of $\frac{3}{5} \times \frac{10}{9}$?
11. Calculate: $\frac{1}{2} - \frac{1}{4} + \frac{3}{8}$
12. What is the value of $10.05 - 5.005$?
13. If a number is divided by $-2.5$ and the result is $5$, what is the original number?
14. Find the reciprocal of $-0.25$.
15. Simplify: $10 - 2.5 \times 2 + 3.5$
16. What is the difference between $\frac{7}{10}$ and $\frac{3}{5}$?
17. If $x = -2$ and $y = -3.5$, what is $x \div y$?
18. Calculate the value of $3.14 \times 100$.
19. Simplify: $\frac{1}{4} \times \frac{8}{3} \times \frac{3}{2}$
20. What is the result of $\frac{-3}{4} - \frac{1}{2}$?
21. Calculate: $100 \div 0.1$
22. What is the sum of $2.75$ and $3.25$?
23. If $A = \frac{1}{3}$ and $B = \frac{1}{6}$, what is $A \times B$?
24. What is the value of $\frac{1}{3} + \frac{1}{6} + \frac{1}{2}$?
25. Simplify: $5.2 - 3.8 + 4.1$
26. If $x = 1.5$ and $y = 0.5$, what is $x - y$?
27. What is $\frac{2}{3}$ of 30?
28. What is the reciprocal of $\frac{7}{8}$?
29. What is the value of $2.5 \times 0.2$?
30. If a number is multiplied by $-0.5$ and the result is $2$, what is the original number?
31. What is the sum of $\frac{3}{5}$ and $\frac{1}{10}$?
32. Calculate: $12.34 - 5.67$
33. What is the value of $\frac{1}{4} \times \frac{1}{4}$?
34. If $x = -3$ and $y = 1.5$, what is $x + y$?
35. Calculate: $10.5 \div 0.5$
36. What is the difference between $5\frac{1}{4}$ and $2\frac{1}{2}$?
37. What is $\frac{2}{5}$ of 45?
38. Simplify: $2.75 + 1.25 - 0.5$
39. What is the product of $\frac{3}{4}$ and $\frac{8}{9}$?
40. If $x = -2.5$ and $y = 4$, what is $x \div y$?
41. What is the sum of $\frac{2}{3}$ and $\frac{1}{6}$?
42. Simplify: $\frac{1}{5} + \frac{2}{10} + \frac{3}{15}$
43. What is the result of $\frac{5}{6} \times \frac{12}{25}$?
44. If $x = 10$ and $y = -0.2$, what is $x \div y$?
45. What is the sum of $\frac{1}{2}$, $\frac{1}{4}$, and $\frac{1}{8}$?
46. Simplify: $\frac{12}{18} - \frac{1}{3}$

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