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NCERT Exemplar Class 7 Maths Fractions And Decimals

NCERT Exemplar Class 7 Maths Book PDF Download Chapter 2 Fractions and Decimals Solutions

Multiple Choice Questions (MCQs)

Question 1:

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Solution:
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Question 2:
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Solution:

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Question 3:
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Solution:
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Question 4:
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Solution:
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Question 5:
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Solution:
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Question 6:
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Solution:
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Question 7:
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Solution:
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Question 8:
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Solution:
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Question 9:
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Solution:
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Question 10:
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Solution:
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Question 11:
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Solution:
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Question 12:
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Solution:
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Question 13:
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Solution:
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Question 14:
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Solution:
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Question 15:
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Solution:
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Question 16:
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Solution:
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Question 17:
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Solution:
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Question 18:
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Solution:
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Question 19:
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Solution:
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Question 20:
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Solution:
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Fill in the Blanks

In questions 21 to 44, fill in the blanks to make the statements true.

Question 21:
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Solution:
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Question 22:
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Solution:
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Question 23:
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Solution:
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Question 24:
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Solution:
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Question 25:
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Solution:
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Question 26:
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Solution:
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Question 27:
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Solution:
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Question 28:
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Solution:
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Question 29:
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Solution:
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Question 30:
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Solution:
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Question 31:
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Solution:
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Question 32:
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Solution:
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Question 33:
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Solution:
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Question 34:
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Solution:
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Question 35:
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Solution:
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Question 36:
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Solution:
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Question 37:
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Solution:
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Question 38:
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Solution:
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Question 39:
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Solution:
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Question 40:
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Solution:
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Question 41:
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Solution:
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Question 42:
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Solution:
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Question 43:
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Solution:
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Question 44:
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Solution:
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True / False

In questions 45 to 54, State whether the statements are True or False.

Question 45:
The reciprocal of a proper fraction is a proper fraction.
Solution:
False
The reciprocal of a proper fraction is always an improper fraction.
e.g. 5/6   —> Proper fraction
Its reciprocal is 5/6 , i.e. improper fraction.

Question 46:
The reciprocal of an improper fraction is an improper fraction.
Solution:
False
The reciprocal of an improper fraction is a proper fraction, e.g. 7/6  —> Improper fraction
Its reciprocal is 7/6, i.e. proper fraction.

Question 47:
 
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Solution:
False
Two fractions are multiplied by multiplying their numerators and denominators separately and writing the product as,
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 90

Question 48:
The product of two improper fractions are less than both the fractions.
Solution:
False
The product of two improper fractions are greater than both the fractions.
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 91

Question 49:
A reciprocal of a fraction, is obtained by inverting it upside down.
Solution:
True
Let a/b be the fraction. Then, for obtaining its reciprocal, numerator and denominator are interchanged.
∴ Reciprocal of a/b = b/a

Question 50:
To multiply a decimal number by 1000, we move the decimal point in the number to the right by three places.
Solution:
True
e.g. 2.732 x 1000= 2732 (moving the decimal to right by three places)

Question 51:
To divide a decimal number by 100, we move the decimal point in the number to the left by two places.
Solution:
True
e.g. 273.2/100 = 2.732 (moving decimal point to the left by two places.

Question 52:
1 is the only number which is its own reciprocal.
Solution:
True
For obtaining the reciprocal of a number, we simply interchange the numerator and denominator.
Hence, reciprocal of 1 will be 1/1, i.e. 1

Question 53:
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Solution:
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Question 54:
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Solution:
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Question 55:
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Solution:
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Question 56:
What happens to the value of a fraction, if the denominator of the fraction is decreased while numerator is kept unchanged?
Solution:
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Question 57:
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Solution:
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Question 58:
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Solution:
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Question 59:
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Solution:
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Question 60:
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Solution:
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Question 61:
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Solution:
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Question 62:
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Solution:
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Question 63:
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Solution:
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Question 64:
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Solution:
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Question 65:
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Solution:
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Question 66:
Animals: The label on a bottle of pet vitamins lists dosage guidelines. What dosage would you give to each of these animals?
(a) a 18 kg adult dog
(b) a 6 kg cat
(c) a 18 kg pregnant dog
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Solution:
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Question 67:
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Solution:
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Question 68:
Anvi is making bookmarker like the one shown in the given figure. How many bookmarker can she make from a 15 m long ribbon?
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Solution:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 123

Question 69:
A rule for finding the approximate length of diagonal of a square is to multiply the length of a side of the square by 1.414.
Find the length of the diagonal when:
(a) the length of a side of the square is 8.3 cm.
(b) the length of a side of the square is exactly 7.875 cm.
Solution:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 124

Question 70:

The largest square that can be drawn in a circle has a side whose length is 0.707 times the diameter of the circle. By this rule, find the length of the side of such a square, when the diameter of the circle is
(a) 14.35 cm
(b) 8.63 cm

Solution:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 125

Question 71:
To find the distance around a circular disc, multiply the diameter of the disc by 3.14.
What is the distance around the disc, when
(a) the diameter is 18.7cm?
(b) the radius is 6.45cm?
Solution:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 126

Question 72:
What is the cost of 27.5 m of cloth at Rs. 53.50 per metre ?
Solution:
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Question 73:
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Solution:
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Question 74:
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Solution:
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Question 75:
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Solution:
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Question 76:
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Solution:
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Question 77:
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Solution:
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Question 78:
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Solution:
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Question 79:
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Solution:
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Question 80:
Heena’s father paid an electric bill of Rs. 385.70 out of a Rs. 500 note. How much change should he have received?
Solution:
Given, total rupees = Rs. 500
and money paid = Rs. 385.70
∴ Change he received = Rs. (500 – 385.70) = Rs. 114.30

Question 81:
The normal body temperature is 98.6°F. When Savitri was ill, her temperature rose to 103.1°F. How many degrees above normal was that?
Solution:
Given, normal body temperature = 98.6° F
and temperature rise to = 103.1° F
∴Rise in temperature = (103.1 – 98.6)° F = 4.5° F

Question 82:
Meteorology One measure of average global temperature shows how each year varies from a base measure.The table shows results for several years.
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See the table and answer the following:
(a) Order the five years from coldest to warmest.
(b) In 1946, the average temperature varied by – 0.03°C from the base measure. Between which two years should 1946 fall, when the years are ordered from coldest to warmest?
Solution:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 143
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 144

Science Application

Question 83:
In her Science class, Jyoti learned that the atomic weight of Helium is 4.0030; of Hydrogen is 1.0080; and of Oxygen is 16.0000. Find the difference between the atomic weights of:
(a) Oxygen and Hydrogen
(b) Oxygen and Helium
(c) Helium and Hydrogen.
Solution:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 145

Question 84:
Measurement made in Science lab must be as accurate as possible. Ravi measured the length of an iron rod and said, it was 19.34 cm long; Kamal said 19.25 cm; and Tabish said 19.27 cm. The correct length was 19.33 cm. How much of error was made by each of the boys?
Solution:
The actual length of an iron rod = 19.33 cm
Measured Ravi = 19.34 cm
Error = Measured value – Actual value
= (19.34-19.33) cm = 0.01 cm
Kamal measured = 19.25 cm
Error = (19.25- 19.33) cm = – 0.08 cm
Tabish measured = 19.27 cm
Error = (19 27 -19.33) cm = – 0.06 cm

Question 85:
When 0.02964 is divided by 0.004, What will be the quotient?
Solution:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 146

Question 86:
What number divided by 520 gives the same quotient as 85 divided by 0.625 ?
Solution:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 147

Question 87:
A floor is 4.5 m long and 3.6 m wide. A 6 cm square tile costs ?Rs. 23.25. What will be the cost to cover the floor with these tiles?
Solution:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 148

Question 88:
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Solution:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 150

Question 89:
A flower garden is 22.50 m long. Sheela wants to make a border along one side using bricks that are 0.25 m long. How many bricks will be needed?
Solution:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 151

Question 90:
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Solution:
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Question 91:
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Solution:
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Question 92:
For the celebrating children’s day, students of Class VII bought sweets for Rs. 740.25 and cold drink for Rs. 70. If 35 students contributed equally what amount was contributed by each student?
Solution:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 156

Question 93:
The time taken by Rohan in five different races to run a distance of 500 m was 3.20 minutes, 3.37 minutes, 3.29 minutes, 3.17 minutes and 3.32 minutes. Find the average time taken by him in the races.
Solution:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 157

Question 94:
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Solution:
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Question 95:
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Solution:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 161

Question 96:
In a survey, 200 students were asked what influenced them most to buy their latest CD. The results are shown in the circle graph
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 162
(a) How many students said radio influenced them most?
(b) How many students were influenced by radio than by a music video channel?
(c) How many said a friend or relative influenced them or they heard the CD in a shop?
Solution:
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NCERT Exemplar Class 7 Maths Fractions And Decimals Img 164

Question 97:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 165
Solution:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 166

Question 98:
Anuradha can do a piece of work in 6hours. What part of the work can she do in 1 hour, in 5 hours and in 6 hours?
Solution:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 167

Question 99:
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Solution:
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Question 100:
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Solution:
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Question 101:
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Solution:
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Question 102:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 174
Solution:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 175

Question 103:
Raj travels 360 km on three-fifth of his petrol tank. How far would he travel at the same rate with a full tank of petrol?
Solution:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 176

Question 104:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 177
Solution:
“NCERT Exemplar Class 7 Maths Fractions And Decimals Img 178

Question 105:
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Solution:
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Question 106:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 181
Solution:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 182
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 183

Question 107:
Some pictures (a) to (f) are given below. Tell which of them show:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 184
Solution:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 185

NCERT Exemplar Class 7 Maths Fractions And Decimals Img 186

Question 108:
Evaluate: (0.3) x (0.3)-(0.2) x (0.2)
Solution:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 187

Question 109:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 188
Solution:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 189

Question 110:
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Solution:
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Question 111:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 192
Solution:
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Question 112:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 194
Solution:
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NCERT Exemplar Class 7 Maths Fractions And Decimals Img 196

Question 113:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 197
Solution:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 198

Question 114:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 199
Solution:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 200

Question 115:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 201
Solution:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 202

Question 116:
Sports: Reaction time measures, how quickly a runner reacts to the starter pistol? In the 100 m dash at the 2004 Olympic Games, Lauryn Williams had a reaction time of 0.214 second. Her total race time, including reaction time, was 11.03 seconds. How Long did it take her to run the actual distance?
Solution:
Time taken to run the actual distance =Total race time – Reaction time
=(11.03-0.214) s
= 10.816 s

Question 117:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 203
Solution:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 204

Question 118:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 205
Solution:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 206

In questions 119 to 122, replace ‘?’ with appropriate fraction.

Question 119:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 207
Solution:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 208

Question 120:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 209
Solution:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 210

Question 121:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 211
Solution:
Given sequence is 0.05, 0.5, 5, 50, ?.
We observe that, each number is multiplied by 10 to get next number.
?= 50 x 10 = 500

Question 122:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 212
Solution:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 213

What is the error in each of questions 123 to 125 ?

Question 123:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 214
Solution:
If the numbers are negative, then the numbers whose absolute value is greater, will be smaller.
Hence, -0.25 is greater than -0.3.
So, the student made the error that (- 0.3)> – (0.25)

Question 124:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 215
Solution:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 216

Question 125:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 217
Solution:
NCERT Exemplar Class 7 Maths Fractions And Decimals Img 218

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