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Fractions and Decimals Class 7 MCQs Questions with Answers
Students are advised to solve the Fractions and Decimals Multiple Choice Questions of Class 7 Maths to know different concepts. Practicing the MCQ Questions on Fractions and Decimals Class 7 with answers will boost your confidence thereby helping you score well in the exam.
Explore numerous MCQ Questions of Fractions and Decimals Class 7 with answers provided with detailed solutions by looking below.
Question 1.
What is \(\frac { 1 }{ 7 }\) of 49 litres?
(a) 11
(b) 51
(c) 71
(d) 61
Answer
Answer: (c) 71
Question 2.
Find \(\frac{2}{7}\) x 3.
(a) \(\frac{5}{7}\)
(b) \(\frac{6}{7}\)
(c) \(\frac{1}{7}\)
(d) none of these
Answer
Answer: (b) \(\frac{6}{7}\)
Numerator is multiplied by numerator.
Question 3.
If 43m =0.086 then m has the value
(a) 0.002
(b) 0.02
(c) 2
(d) 0.2
Answer
Answer: (a) 0.002
In this blog post, you will learn how to convert 1/2 to a decimal number with step-by-step instructions. Learn what 1/2 as a decimal is.
Question 4.
Write the place value of 2 in the following decimal numbers : 2.56
(a) 5
(b) .06
(c) 2
(d) None of these
Answer
Answer: (c) 2
As 2 is at ones place.
Question 5.
0.01 × 0.01 = ______
(a) 0.0001
(b) 0.001
(c) 1
(d) 0.1
Answer
Answer: (a) 0.0001
Question 6.
Find 0.2 x 0.3
(a) 0.6
(b) 0.06
(c) 6
(d) None of these
Answer
Answer: (b) 0.06
Number of decimal places in the question is always equal to the number of places in the answer.
Question 7.
Which of the following is an improper fraction?
(a) \(\frac { 20 }{ 70 }\)
(b) \(\frac { 30 }{ 40 }\)
(c) \(\frac { 50 }{ 20 }\)
(d) \(\frac { 70 }{ 80 }\)
Answer
Answer: (c) \(\frac { 50 }{ 20 }\)
Question 8.
What is \(\frac{1}{2}\) of 10.
(a) 6
(b) 4
(c) 3
(d) 5
Answer
Answer: (d) 5
Numerator is divided by denominator.
Question 9.
Find the area of rectangle whose length is 6.7 cm and breadth is 2 cm.
(a) 13 cm2
(b) 13.4 cm2
(c) 13.8 cm2
(d) 14 cm2
Answer
Answer: (b) 13.4 cm2
Question 10.
Express 5 cm in metre.
(a) .05
(b) .5
(c) .005
(d) None of these
Answer
Answer: (a) .05
As 1 metre contains 100 cm, therefore given number is divided by 100.
Question 11.
Which amongst the following is the largest?
|-89|, -89, -21, |-21|
(a) -89
(b) -21
(c) |-89|
(d) |-21|
Answer
Answer: (c) |-89|
Question 12.
The side of an equilateral triangle is 3.5 cm. Find its perimeter.
(a) 10.5 cm
(b) 1.05 cm
(c) 105 cm
(d) None of these
Answer
Answer: (a) 10.5 cm
Perimeter of a equilateral triangle is 3a.
Question 13.
Provide the number in the box ≅ such that \(\frac{3}{5}\) x ≅ = \(\frac{24}{75}\).
(a) \(\frac{7}{15}\)
(b) \(\frac{8}{15}\)
(c) \(\frac{5}{3}\)
(d) none of these
Answer
Answer: (b) \(\frac{8}{15}\)
Result is divided by given number.
Multiplying Fractions and Whole Numbers Calculator is useful to multiply fraction with whole number.
Question 14.
What is the fraction of the shaded area?
(a) \(\frac { 2 }{ 3 }\)
(b) \(\frac { 1 }{ 3 }\)
(c) \(\frac { 1 }{ 4 }\)
(d) None of these
Answer
Answer: (a) \(\frac { 2 }{ 3 }\)
Question 15.
Which of the following is a proper fraction?
(a) \(\frac { 28 }{ 15 }\)
(b) \(\frac { 21 }{ 23 }\)
(c) \(\frac { 16 }{ 7 }\)
(d) \(\frac { 34 }{ 3 }\)
Answer
Answer: (b) \(\frac { 21 }{ 23 }\)
Question 16.
Compare 0.5 and 0.05.
(a) =
(b) >
(c) <
(d) None of these
Answer
Answer: (b) >
Here, whole number part in each decimal is equal to zero. So, whole number parts are equal. Therefore, we will compare the decimal part.
Question 17.
What does this drawing show :
(a) \(\frac{1}{3}\)
(b) \(\frac{1}{2}\)
(c) \(\frac{1}{6}\)
(d) \(\frac{1}{4}\)
Answer
Answer: (d) \(\frac{1}{4}\)
One is taken out of four.
Question 18.
Find the area of rectangle whose length is 5.7 cm and breadth is 3 cm.
(a) 171 cm2
(b) 1.71 ccm2
(c) 17.1 cm2
(d) None of these
Answer
Answer: (c) 17.1 cm2
Area of rectangle is length x breadth.
Question 19.
What should be added to \(\frac { 21 }{ 27 }\) to make it \(\frac { 26 }{ 27 }\) ?
(a) \(\frac { 26 }{ 27 }\)
(b) \(\frac { 6 }{ 27 }\)
(c) \(\frac { 5 }{ 27 }\)
(d) \(\frac { 7 }{ 27 }\)
Answer
Answer: (c) \(\frac { 5 }{ 27 }\)
Question 20.
What are fractions with different denominators called?
(a) Like
(b) Unlike
(c) Proper
(d) Improper
Answer
Answer: (b) Unlike
Question 21.
Express 7 paise in rupees.
(a) \(\frac{7}{10}\)
(b) \(\frac{7}{100}\)
(c) \(\frac{7}{1000}\)
(d) None of these
Answer
Answer: (b) \(\frac{7}{100}\)
As 1 rupee contains 100 paise, therefore given number is divided by 100.
Question 22.
Which is greater \(\frac{2}{7}\) or \(\frac{3}{7}\).
(a) \(\frac{2}{7}\)
(b) \(\frac{3}{7}\)
(c) both are equal
Answer
Answer: (b) \(\frac{3}{7}\)
As numerator is greater and denominator are same.
Question 23.
Find the reciprocal of \(\frac{5}{8}\).
(a) \(\frac{8}{5}\)
(b) 5
(c) 8
(d) none of these
Answer
Answer: (a) \(\frac{8}{5}\)
As reciprocal are numbers whose product is 1.
Question 24.
Indian cricket team won 4 more matches than it lost with New Zealand. If it won \(\frac { 3 }{ 5 }\) of its matches, how many matches did India play?
(a) 8
(b) 12
(c) 16
(d) 20
Answer
Answer: (d) 20
Question 25.
What is the equivalent fraction of \(\frac { 8 }{ 11 }\) having the numerator 40?
(a) \(\frac { 40 }{ 11 }\)
(b) \(\frac { 44 }{ 40 }\)
(c) \(\frac { 40 }{ 55 }\)
(d) \(\frac { 10 }{ 40 }\)
Answer
Answer: (c) \(\frac { 40 }{ 55 }\)
Question 26.
Write the place value of 2 in the following decimal numbers : 10.25
(a) 2 tens
(b) 2 tenths
(c) None of these
Answer
Answer: (b) 2 tenths
As 2 is an at tenth place.
Question 27.
Guru reads \(\frac { 3 }{ 5 }\) of a book. He finds that there are still 80 pages left to be read. What is the total number of pages in the book?
(a) 100
(b) 200
(c) 300
(d) 400
Answer
Answer: (b) 200
Question 28.
Write in mixed fraction \(\frac{54}{7}\)
(a) 7\(\frac{5}{7}\)
(b) 7\(\frac{7}{5}\)
(c) 5\(\frac{7}{7}\)
(d) None of these
Answer
Answer: (a) 7\(\frac{5}{7}\)
By long division we get proper fraction.
Question 29.
2.05 x 1.3 equals to
(a) 2.665
(b) 2.667
(c) 2.323
(d) 2.456
Answer
Answer: (a) 2.665
Question 30.
Express 200 g in kg.
(a) .02
(b) .002
(c) .2
(d) None of these
Answer
Answer: (c) .2
As 1 kg contains 1000 grams, therefore given number is divided by 1000.
Question 31.
Compare 35.63 and 35.67.
(a) >
(b) <
(c) =
(d) None of these
Answer
Answer: (b) < Here, the whole number are equal. So we compare the decimals. In decimal part, the extreme left digits are equal. So we compare next digits 7 > 3 : 35.67 > 35.63
Question 32.
Find the perimeter of a square whose one side is 1.6 cm.
(a) 6.4 cm
(b) 64 cm
(c) .64 cm
(d) None of these
Answer
Answer: (a) 6.4 cm
Perimeter of square is obtained by multiplying its side by four.
Question 33.
(\(\frac { 1 }{ 3 }\)) of 3 is ____
(a) 2
(b) 1
(c) 3
(d) none of these
Answer
Answer: (b) 1
Question 34.
Write the following decimal numbers in the expanded form 20.03.
(a) 2 x 10 + 0 x \(\frac{1}{10}\) + 3 x \(\frac{3}{100}\)
(b) 2 x 10 + 3 x \(\frac{1}{100}\)
(c) None of these
Answer
Answer: (a) 2 x 10 + 0 x \(\frac{1}{10}\) + 3 x \(\frac{3}{100}\)
2 x 10 = 20. 3 x \(\frac{1}{100}\) = \(\frac{3}{100}\) = 0.03
20 + 0.03 = 20.03
Question 35.
Given that \(\frac { p }{ q }\) = \(\frac { s }{ t }\), which of these is true?
(a) pq = st
(b) ps = qt
(c) pt = sq
(d) pt = st
Answer
Answer: (c) pt = sq
Question 36.
Three sides of a triangle are 12, 10 and 8, its perimeter is :
(a) 30
(b) 15
(c) 25
(d) None of these
Answer
Answer: (a) 30
Perimeter of a triangle is sum of three sides, i.e., a + b + c.
Question 37.
(\(\frac { 1 }{ 2 }\))×(\(\frac { 1 }{ 5 }\))= ____
(a) \(\frac { 1 }{ 7 }\)
(b) \(\frac { 1 }{ 10 }\)
(c) \(\frac { 5 }{ 2 }\)
(d) \(\frac { 2 }{ 5 }\)
Answer
Answer: (b) \(\frac { 1 }{ 10 }\)
Question 38.
Express 35 mm in cm.
(a) 3.5
(b) .35
(c) .035
(d) None of these
Answer
Answer: (a) 3.5
As 1 cm contains 10 mm, therefore given number is divided by 10.
Question 39.
What will be \(\frac{3}{4}\) ÷ 3.
(a) \(\frac{1}{4}\)
(b) \(\frac{1}{3}\)
(c) \(\frac{9}{4}\)
(d) None of these
Answer
Answer: (a) \(\frac{1}{4}\)
1st number is multiplied by reciprocal of second number.
Question 40.
Find the average of 4.2, 3.8 and 7.6.
(a) 52
(b) .52
(c) 5.2
(d) None of these
Answer
Answer: (c) 5.2
Average can be found by dividing the sum of all numbers by the number of observations.
Question 41.
Thrice the first of three consecutive odd integers is 3 more than twice the third. The third integer is:
(a) 9
(b) 11
(c) 13
(d) 15
Answer
Answer: (d) 15
Question 42.
Express in kg : – 4 kg 8 g.
(a) 4.008
(b) 4.08
(c) 4.8
(d) None of these
Answer
Answer: (a) 4.008
Whole number is multiplied by 1000 and then 8 is added to it.
Question 43.
A rectangular sheet of paper is 12 cm long and 10 cm wide. Its perimeter is :
(a) 40
(b) 42
(c) 44
(d) None of these
Answer
Answer: (c) 44
Perimeter of a rectangle is 2(l + b).
Match the following:
Question 1.
| 1. 1 cm | (a) 1 kg |
| 2. 100 cm | (b) 1 rupee |
| 3. 1000 g | (c) .01 m |
| 4. 100 paise | (d) 1 m |
Answer
Answer:
| 1. 1 cm | (c) .01 m |
| 2. 100 cm | (d) 1 m |
| 3. 1000 g | (a) 1 kg |
| 4. 100 paise | (b) 1 rupee |
Question 2.
| 1. \(\frac{3}{8}\) | (a) \(\frac{1}{2}\) |
| 2. – \(\frac{5}{7}\) | (b) 1 |
| 3. 1 | (c) – \(\frac{7}{5}\) |
| 4. 2 | (d) \(\frac{8}{3}\) |
Answer
Answer:
| 1. \(\frac{3}{8}\) | (d) \(\frac{8}{3}\) |
| 2. – \(\frac{5}{7}\) | (c) – \(\frac{7}{5}\) |
| 3. 1 | (b) 1 |
| 4. 2 | (a) \(\frac{1}{2}\) |
state whether the statements are true or false:
Question 1.
A proper fraction is a fraction that represents a part of whole.
Answer
Answer: true
Question 2.
Like fractions have equal numerator.
Answer
Answer: false
Question 3.
\(\frac{1}{2}\) x \(\frac{1}{7}\) = \(\frac{1}{14}\)
Answer
Answer: true
Question 4.
4.1 x 100 = 41
Answer
Answer: false
Fill in the blanks:
1. Product of two fractions = \(\frac { product\quad of\quad their\quad numerator }{ …………………………………. }\)
Answer
Answer: product of their denominator
2. Fractions having same denominators are …………….. fractions.
Answer
Answer: like
3. Fractions having different denominators are ………… fractions.
Answer
Answer: unlike
4. Fractions with numerator 1 are called ……………… fractions.
Answer
Answer: unit
5. A mixed fraction is a combination of whole number and a ……….. fraction.
Answer
Answer: proper
6. The non-zero numbers whose product with each other is 1 are called the ……………….. of each other.
Answer
Answer: reciprocals
7. A reciprocal of a fraction is obtained by ………….. it upside down.
Answer
Answer: inverting
8. All the sides of an equilateral triangle are …………….
Answer
Answer: equal
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