Fractions and Decimals

A car covers a distance of 89.1 km in 2.2 hours. What is the average
distance covered by it in 1 hour?

Each side of a regular polygon is 2.5 cm in length. The perimeter of the
polygon is 12.5cm. How many sides does the polygon have?

Find the average of 4.2, 3.8 and 7.6.

The length of a rectangle is 7.1 cm and its breadth is 2.5 cm. What
is the area of the rectangle?

The side of an equilateral triangle is 3.5 cm. Find its perimeter.

A vehicle covers a distance of 43.2 km in 2.4 litres of petrol. How much distance will it cover in one litre of petrol?

Find:

(i) 7 ÷ 3.5 (ii) 36 ÷ 0.2 (iii) 3.25 ÷ 0.5

(iv) 30.94 ÷ 0.7 (v) 0.5 ÷ 0.25 (vi) 7.75 ÷ 0.25

(vii) 76.5 ÷ 0.15 (viii) 37.8 ÷ 1.4 (ix) 2.73 ÷ 1.3

Find:

(i) 7.9 ÷ 1000 (ii) 26.3 ÷ 1000 (iii) 38.53 ÷ 1000

(iv) 128.9 ÷ 1000 (v) 0.5 ÷ 1000

Find:

(i) 2.7 ÷ 100 (ii) 0.3 ÷ 100 (iii) 0.78 ÷ 100

(iv) 432.6 ÷ 100 (v) 23.6 ÷ 100 (vi) 98.53 ÷ 100

Find:

(i) 4.8 ÷ 10 (ii) 52.5 ÷ 10 (iii) 0.7 ÷ 10

(iv) 33.1 ÷ 10 (v) 272.23 ÷ 10 (vi) 0.56 ÷ 10

(vii) 3.97 ÷ 10

Find:

(i) 0.4 ÷ 2 (ii) 0.35 ÷ 5 (iii) 2.48 ÷ 4

(iv) 65.4 ÷ 6 (v) 651.2 ÷ 4 (vi) 14.49 ÷ 7

(vii) 3.96 ÷ 4 (viii) 0.80 ÷ 5

Find:

(i) 2.5 x 0.3 (ii) 0.1 x 51.7 (iii) 0.2 x 316.8

(iv) 1.3 x 3.1 (v) 0.5 x 0.05 (vi) 11.2 x 0.15

(vii) 1.07 x 0.02 (viii) 10.05 x 1.05 (ix) 101.01 x 0.01

(x) 100.01 x 1.1

A two-wheeler covers a distance of 55.3 km in one litre of petrol. How much distance will it cover in 10 litres of petrol?

Find:

(i) 1.3 x 10 (ii) 36.8 x 10 (iii) 153.7 x 10

(iv) 168.07 x 10 (v) 31.1 x 100 (vi) 156.1 x 100

(vii) 3.62 x 100 (viii) 43.07 x 100 (ix) 0.5 x 10

(x) 0.08 x 10 (xi) 0.9 x 100 (xii) 0.03 x 1000

Find the area of rectangle whose length is 5.7 cm and breadth is 3 cm.

Find:

(i) 0.2 x 6 (ii) 8 x 4.6 (iii) 2.71 x 5

(iv) 20.1 x 4 (v) 0.05 x 7 (vi) 211.02 x 4

(vii) 2 x 0.86

How much less is 28 km than 42.6 km?

Shyama bought 5 kg 300 g apples and 3 kg 250 g mangoes. Sarala bought 4 kg 800 g oranges and 4 kg 150 g bananas. Who bought more fruits?

Dinesh went from place A to place B and from there to place C. A is 7.5 km from B and B is 12.7 km from C. Ayub went from place A to place D and from there to place C. D is 9.3 km from A and C is 11.8 km from D. Who travelled more and by how much?

Write the place value of 2 in the following decimal numbers:

(i) 2.56 (ii) 21.37 (iii) 10.25

(iv) 9.42 (v) 63.352

Write the following decimal numbers in the expanded form:

(i) 20.03 (ii) 2.03 (iii) 200.03

(iv) 2.034

Express in kg:

(i) 200 g (ii) 3470 g (iii) 4 kg 8 g

(i) Express 5 cm in metre and kilometre

(ii) Express 35 mm in cm, m and km

Express as rupees using decimals:

(i) 7 paise (ii) 7 rupees 7 paise (iii) 77 rupees 77 paise

(iv) 50 paise (v) 235 paise

Which is greater?

(i) 0.5 or 0.05 (ii) 0.7 or 0.5 (iii) 7 or 0.7

(iv) 1.37 or 1.49 (v) 2.03 or 2.30 (vi) 0.8 or 0.88

Find:

(i)  (ii)  (iii) 

(iv)  (v)  (vi) 

(vii)  (viii) 

Find:

(i)  (ii)  (iii) 

(iv)  (v)  (vi) 

Find the reciprocal of each of the following fractions. Classify the reciprocals as proper fractions, improper fractions and whole numbers.

(i)  (ii)  (iii) 

(iv)  (v)  (vi) 

(vii) 

Find:

(i)  (ii)  (iii) 

(iv)  (v)  (vi) 

(a) (i) Provide the number in the box , such that .

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

(b) (i) Provide the number in the box , such that ?

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

A car runs 16 km using 1 litre of petrol. How much distance will it cover using litres of petrol.

Lipika reads a book for hours everyday. She reads the entire book in 6 days. How many hours in all were required by her to read the book?

Saili plants 4 saplings, in a row, in her garden. The distance between two adjacent saplings is m. Find the distance between the first and the last sapling.

Which is greater:

(i)  of  orof 

(ii)  of orof 

Multiply the following fractions:

(i)  (ii)  (iii) 

(iv)  (v)  (vi) 

(vii) 

Multiply and reduce to lowest form (if possible):

(i)  (ii)  (iii) 

(iv)  (v)  (vi) 

(vii) 

Find:

(i) of (a)  (b)  (c) 

(ii) of (a)  (b)  (c) 

Vidya and Pratap went for a picnic. Their mother gave them a water bottle that contained 5 litres of water. Vidya consumed of the water. Pratap consumed the remaining water.

(i) How much water did Vidya drink?

(ii) What fraction of the total quantity of water did Pratap drink?

Find (a) of (i)  (ii)  (b) of (i)  (ii) 

Multiply and express as a mixed fraction:

(a)  (b) 

(c)  (d) 

(e)  (f) 

Find:

(a)  of (i) 24 (ii) 46

(b)  of (i) 18 (ii) 27

(c)  of (i) 16 (ii) 36

(d)  of (i) 20 (ii) 35

Shade:

(i) of the circles in box (a) (ii) of the triangles in box (b)

(iii) of the squares in box (c)

(a)	(b)	(c)

Multiply and reduce to lowest form and convert into a mixed fraction:

(i)  (ii)  (iii)  (iv) 

(v)  (vi)  (vii)  (viii) 

(ix)  (x) 

Some pictures (a) to (c) are given below. Tell which of them show:

(i)  (ii)  (iii) 

(a)

(b)

(c)

Which of the drawings (a) to (d) show:

(i)  (ii)  (iii)  (iv) 

(a)

(b)

(c)

(d)

Michael finished colouring a picture in hour. Vaibhav finished colouring the same picture in hour. Who worked longer? By what fraction was it longer?

Ritu ate part of an apple and the remaining apple was eaten by her brother Somu. How much part of the apple did Somu eat? Who had the larger share? By how much?

Salil wants to put a picture in a frame. The picture is cm wide.

To fit in the frame the picture cannot be more thancm wide. How much should the picture be trimmed?

Find the perimeters of (i) ΔABE (ii) the rectangle BCDE in this figure. Whose perimeter is greater?

A rectangular sheet of paper is cm long and cm wide.

Find its perimeter.

In a “magic square“, the sum of the numbers in each row, in each column and along the diagonal is the same. Is this a magic square?

Arrange the following in descending order:

(i)  (ii) 

Solve:

(i)  (ii)  (iii) 

(iv)  (v)  (vi) 

(vii)