Maths Questions on Rational Numbers for Class 8

A student need to practice maths problems. Its helps in developing problem solving skills. The problems shall not be (i) too simple, (ii) too difficult or (iii) too many. Simple problems are boring, difficult problems discourages (at times), and too many problems don't leave time for fun.

I selected following problems on rational numbers for my son studying in class 8.

1. Express following rational numbers in standard form: (a) $\frac{-14}{49}$ (b) $\frac{24}{-64}$ (c) $\frac{-36}{-63}$
2. Arrange the numbers $\frac{-3}{5}$, $\frac{7}{-10}$ and $\frac{-5}{8}$ in ascending order.
3. Arrange the numbers $-2$, $\frac{-13}{6}$, $\frac{8}{-3}$ and $\frac{1}{3}$ in descending order.
4. Represent $\frac{13}{5}$ and $\frac{-13}{5}$ on the number line.
5. The sum of two rational numbers is $-5$. If one of them is $\frac{-13}{6}$, find the other.
6. What number should be added to $\frac{-7}{8}$ to get $\frac{4}{9}$.
7. What number should be subtracted from $\frac{-5}{7}$ to get $-1$.
8. Find the value of $\frac{-16}{7}\times\left(\frac{-8}{9}+\frac{-7}{6}\right)$.
9. The product of two numbers is $\frac{-28}{27}$. If one of the number is $\frac{-4}{9}$, find the other.
10. By what number should $\frac{-33}{8}$ be divided to get $\frac{-11}{2}$?
11. A basket contains three types of fruits weighing $19\frac{1}{3}$ kg in all. If $8\frac{1}{9}$ kg of these be apples, $3\frac{1}{6}$ kg be oranges and the rest pears, what is the weight of the pears in the basket?
12. A car is moving at an average speed of $60\frac{2}{5}$ km/hr. How much distance will it cover in $6\frac{1}{4}$ hours?
13. The area of a room is $65\frac{1}{4}$ square metre. If its breadth is $5\frac{7}{16}$ metres, what is its length?
14. After reading $\frac{7}{9}$ of a book, 40 pages are left. How many pages are there in the book?
15. If $\frac{3}{5}$ of a number exceeds its $\frac{2}{7}$ by 44, find the number.