Unit Test: Fractions and Decimals

Time: 1 hour

M.M.: 30

Attempt all questions.

Question numbers 1 to 5 carry 1 mark each.

Question numbers 6 to 8 carry 2 marks each.

Question numbers 9 to 11 carry 3 marks each.

Question numbers 12 & 13 carry 5 marks each.

Q1: Which of the drawings (a) to (d) show: (1 Mark)

(i) 2 × (1/5) (ii) 2 × ½ (iii) 3 × (2/3) (iv) 3 × ¼

Q2: What is the product of 2/3 and 4/5? (1 Mark)
(i) 8/15
(ii) 8/5
(iii) 6/15
(iv) 12/15

Q3: Multiply 3.4 by 0.05. (1 Mark)

Q4: What is the reciprocal of 9/11? (1 Mark)
(i) 9
(ii) 11/9
(iii) 9/11
(iv) 1

Q5: Multiply: $\frac{7}{9}\times 0.5$ (1 Mark)

$\frac{\mathrm{<strong\; style="box-sizing:border-box;font-family:lato,sans-serif;letter-spacing:inherit;font-weight:700;word-break:break-word;font-size:20px;line-height:1.8">Q6: </strong>}}{}$A rectangular field is 15.4 m long and 7.6 m wide. Find its area. (2 Marks)

Q7: Simplify: $1.23÷0.3$. (2 Marks)

Q8:Find three different fractions between $\frac{1}{3}$ and $\frac{2}{3}$. (2 Marks)

$\frac{\mathrm{<strong\; style="box-sizing:border-box;font-family:lato,sans-serif;letter-spacing:inherit;font-weight:700;word-break:break-word;font-size:20px;line-height:1.8">Q9: </strong>}}{}$Vidya and Pratap went for a picnic. Their mother gave them a water bottle that contained 5 litres of water. Vidya consumed $\frac{2}{5}$of the water, and Pratap consumed the remaining water.(3 Marks)

(i) How much water did Vidya drink?
(ii) What fraction of the total quantity of water did Pratap drink?

Q10: A vehicle covers a distance of 72.8 km in 3.2 litres of petrol. How much distance will it cover in 1 litre of petrol? (3 Marks)

Q11: Riya plants 5 saplings in a row in her garden. The distance between two adjacent saplings is $\frac{2}{3}$m. Find the distance between the first and the last sapling. (3 Marks)

Q12: In a class of 50 students: (5 Marks)

$\frac{2}{5}$ of the total number of students like to study English,

$\frac{3}{10}$of the total number like to study Mathematics,

The remaining students like to study Science.

Answer the following questions:

(i) How many students like to study English?
(ii) How many students like to study Mathematics?
(iii) What fraction of the total number of students like to study Science?
(iv) How many students like to study Science?

Q13: Solve the following problems (5 Marks)

(i) Rani ate 2/7 part of a cake while her brother Ravi ate 4/5 of the remaining. Part of the cake left is

(ii) Provide the number in the box, such that:

(iii) The simplest form of the number obtained in (ii) is ______.

You can find the solutions of this Unit Test here: Unit Test (Solution): Fractions and Decimals