Rational Numbers quiz

Which is NOT a rational number?

The standard form of 18/-24 is:

Which rational number is positive?

-3/5 is equivalent to:

-2/7 + 5/7 equals:

The reciprocal of -5/8 is:

Which is greater?

-3/4 x 8/9 equals:

The number of rational numbers between 1/3 and 1/2 is:

0 divided by -7/3 equals:

Write -7/4 with denominator 20 and with numerator 21. (2 marks)

Which is greater: -3/7 or -2/5? Show your working. (2 marks)

Find -5/8 + 3/4. (2 marks)

Find 2/3 - (-5/6). (2 marks)

Find -7/9 x -3/14. (2 marks)

Find 3/13 divided by -4/65. (2 marks)

Find x if -4/7 = x/-21. (2 marks)

Write two rational numbers between 2/5 and 3/5. (2 marks)

The sum of two rational numbers is -2. If one is -14/5, find the other. (2 marks)

Is -9 a rational number? Write it in p/q form with denominator 4. (2 marks)

Simplify: -3/4 + 5/6 - 7/12. (3 marks)

Simplify: (-2/3 x 9/10) + (5/6 divided by -5/3). (3 marks)

The product of two rational numbers is -9/16. If one of them is -4/3, find the other. (3 marks)

What should be added to -5/8 to get 1/4? What should be subtracted from 3/4 to get -1/6? (3 marks)

Arrange in descending order: -1/2, 2/-3, -5/12, -3/4. (3 marks)

Read the passage and answer the questions. A diver is at -15/2 m (below sea level). He rises 5/4 m and then dives 3/2 m. (i) Write his position after rising. (ii) Write his final position. (iii) Is he above or below his starting point, and by how much? (5 marks)

Read the passage and answer the questions. In a quiz, +3/2 marks are given for a correct answer and -1/2 mark for a wrong answer. Meena answers 8 correctly and 4 wrongly. (i) Find the marks for correct answers. (ii) Find the marks lost for wrong answers. (iii) Find her total score. (5 marks)

Read the passage and answer the questions. A shopkeeper records profit as positive and loss as negative. Over three days he records 5/2, -7/4 and -3/8 thousand rupees. (i) Find the total over the three days. (ii) Was it a profit or loss overall? (iii) Express the result in rupees. (5 marks)

Read the passage and answer the questions. A water tank loses 3/8 of a litre every hour due to a leak. Loss is written as negative. (i) Write the change in 4 hours as a rational number. (ii) How many hours will it take to lose 6 litres? (iii) Write the change in 4 hours in standard form. (5 marks)

Read the passage and answer the questions. On a number line, point A is at -3/4 and point B is at 5/4. (i) Find the distance between A and B. (ii) Find the midpoint of A and B. (iii) Write two rational numbers between A and B. (5 marks)

Represent -3/2, -1/4, 2/3 and 5/4 on a number line. Arrange them in ascending order and explain your method. (6 marks)

Explain how to find rational numbers between two rational numbers using equivalent fractions. Find five rational numbers between -3/4 and -1/4 and show them on a number line. (6 marks)

Simplify: (i) -5/9 + 7/12 - 1/6 (ii) (-3/4 x 2/9) divided by -1/6 (iii) -11/12 x 6/-11 + 1/2. (6 marks)

Explain with examples: (i) positive and negative rational numbers (ii) standard form (iii) equivalent rational numbers (iv) comparison of two negative rational numbers. (6 marks)

A rope of length 15/2 m is cut into pieces of 3/4 m each. Find the number of pieces. Then 3/5 of the pieces are used; how many are used and how many left? Show the cutting on a labelled diagram. (6 marks)