# NCERT Solutions for Class 7 Maths

Find 100% accurate solutions for NCERT Class VII Science. All questions have been explained and solved step-by-step, to help you understand thoroughly. Free Download option available!

# Fractions and Decimals

1.    Solve: 2.    Arrange the following in descending order: 3.    In a “magic square”, the sum of the numbers in each row, in each column and along the diagonals is the same. Is this a magic square? 4.     A rectangular sheet of paper is cm long and cm  wide.  Find its  perimeter.

5.     Find the perimeter of (i) ΔABE, (ii) the rectangle BCDE in this  figure. Whose perimeter is greater? 6.    Salil wants to put a picture in a frame. The picture is cm wide. To fit in the frame the picture cannot be  more than cm wide. How much should the picture be trimmed?

7.    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?

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

Exercise 2

9.    Which of the drawings (a) to (d) show: 10.  Some pictures (a) to (c) are given below. Tell which of them show: 11.  Multiply and reduce to lowest form and convert into a mixed fraction:  13.  Find: 14.  Multiply and express as a mixed fraction: 15.  Find: 16.  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?

Exercise 3

17.  Find: 18.  Multiply and reduce to lowest form (if possible): 19.  Multiply the following fractions: 20.  Which is greater: 21.  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.

22.  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?

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

24.  (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 _____.

Exercise 4

25.  Find: 26.  Find the reciprocal of each of the following fractions. Classify the reciprocals as proper fraction, improper fractions and whole numbers. 27.  Find: 28.  Find: Exercise 5

29.  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

30.  Express as rupees using decimals:

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

(iv) 50 paise                     (v) 235 paise

31.  (i) Express 5 cm in metre and kilometer.

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

32.  Express in kg.:

(i) 200 g                           (ii) 3470 g

33.  Write the following decimal numbers in the expanded form:

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

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

(i) 2.56                             (ii) 21.37

(iv) 9.42                           (v) 63.352

35.  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? 36.  Shyam 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?

37.  How much less is 28 km than 42.6 km?

Exercise 6

38.  Find:

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

(ii) 20.1 × 4            (v) 0.05 × 7         (vi) 211.02 × 4

(iii) 2 × 0.86

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

40.  Find:

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

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

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

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

41.   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?

42.  Find:

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

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

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

(x) 100.01 × 1.1

Exercise 7

43.  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

44.  Find:

(i) 4.8 ÷ 10         (ii) 52.5 4 ÷ 10     (iii) 0.7 ÷ 10

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

(vii) 3.97 ÷ 10

45.  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

46.  Find:

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

(iv) 128.9 ÷ 1000  (v) 0.5 ÷ 1000

47.  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

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

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