Free Fractions and Decimals 03 Practice Test - 7th grade
Question 1
(0.89345×1000)+8.9345−893.45=
89.345
8.9345
893.45
8934.50
SOLUTION
Solution : B
Shifting the decimal point 3 places to the right of the decimal number 0.89345, we have
0.89345×1000=893.45∴(0.89345×1000)+8.9345−893.45
=893.45+8.9345−893.45
=0+8.9345
=8.9345
Question 2
(12.4+9.6)×(0.1 +0.001) _____ (1.24×10.96)×0.2
>
<
=
can't say
SOLUTION
Solution : B
(12.4+9.6)×(0.1 +0.001)
=22.0×0.101
=2.222
And, (1.24×10.96)×0.2
=13.59×0.2
=2.718
2.718 is greater than 2.222
Therefore, (12.4+9.6)×(0.1 +0.001) < (1.24×10.96)×0.2
Question 3
The length of a cuboid is 0.3m. Its breadth and height is 0.03m and 0.003m respectively. The volume of the cuboid is given as the product of its length, breadth and height. The volume of cuboid is:
SOLUTION
Solution : B and D
Given, length = 0.3m
breadth = 0.03m
height = 0.003m
Volume = Length×Breadth×Height
Volume = 0.3×0.03×0.003m3
=0.000027m3
Question 4
(60×0.06×6)−(0.0006×600×0.6) is equal to:
21.384
213.84
2.1834
20.484
SOLUTION
Solution : A
(60×0.06×6)−(0.0006×600×0.6)
=(21.6)−(0.216)
=21.384
Question 5
A bag contains 25 kg of rice at ₹ 20.04 per kg and 20 kg of dal at ₹ 15.28 per kg. What is the total cost of 5 such bags?
₹ 4033
₹ 4038.36
₹ 4038.92
₹ 4040.40
SOLUTION
Solution : A
Cost of rice in one bag = 25×20.04
=₹ 501
Cost of dal in one bag = 20×15.28
=₹ 305.6
Total cost of one bag = 501 + 305.6
=₹ 806.6
Cost of 5 such bags = 5×806.6
=₹ 4033
Question 6
Convert the following fractions into decimals and find the sum of these decimals that rounded up to 2 decimal places.
12, 52, 49, 520, 310, 7100, 1002, 10000010000000, 1248, 999, 525
SOLUTION
Solution :12=0.5
52=2.5
49=0.4444
520=0.25
310=0.3
7100=0.07
1002=50
10000010000000=0.01
1248=0.25
999=0.09090909
525=0.20
∴ Sum = 54.615
When rounded up to two decimal place,
Then Sum = 54.62
Question 7
0.010.001+0.0010.01 equals ______.
10.101
100.1
10.01
10.1
SOLUTION
Solution : D
0.010.001=0.01×10.001=0.01×10001
=10
0.0010.01=0.001×10.01=0.001×1001
= 0.1⟹ 0.010.001+0.0010.01 =10+0.1=10.1
Question 8
On multiplying a decimal number by 100, we shift the decimal point (i) ______ places to the (ii) ______ and on dividing a decimal number by 100, we shift the decimal point, (iii)_______ places to the (iv) _______.
i) two ii) left iii) two iv) right
i) one ii) right iii) one iv) left
i) two ii) right iii) one iv) left
i) two ii) right iii) two iv) left
SOLUTION
Solution : D
Let's take an example and visualize.
2.48×100=248.0 [Decimal point shifted two places to the right]
2480÷100=2480100=24.80 [Decimal point shifted two places to the left]
Question 9
Find the value of 722 correct up to 4 decimal places.
0.3183
0.3182
0.3180
0.1830
SOLUTION
Solution : B
Now, the 5th decimal place is greater than 5. So, we add 1 to the previous digit, which gives 0.3182
Hence, the required answer is 0.3182.
Question 10
4 kg of fruits are shared equally among 5 children. How many grams of fruits does each child get?
700 g
800 g
80 g
70 g
SOLUTION
Solution : B
Total weight of fruits = 4 kg
Total number of children among whom the fruits are to be shared equally = 5
Thus, the total quantity of fruits each child would get = 45 kg= 45 ×1000 grams
=40005g= 800 g