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23 questions · self-marked practice — reveal the answer and mark yourself.

Question 22 Marks
Express the following fractions as decimals:
$15\frac{1}{25}$
Answer
$15\frac{1}{25}$
$=15+\frac{1}{25}$
$=15+\frac{1\times4}{25\times4}$
$=15+\frac{4}{100}$
$=15+0.04$
$=15.04$
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Question 32 Marks
A vehicle covers a distance of 43.2km in 2.4 litres of petrol. How much distance will it travel in 1 litre of petrol?
Answer
Distance covered in 2.4 litres of petrol = 43.2km
Distance covered in 1 litre of petrol $=\frac{43.2}{2.4}$
$=18\text{km}$
The distance travelled in 1 litre of petrol is 18km.
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Question 42 Marks
By how much should 34.79 be increased to get 70.15?
Answer
34.79 + x = 70.15
x = 70.15 - 34.79
x = 35.36
Therefore 35.36 is increased to 70.15
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Question 52 Marks
Divide:
88 by 0.08
Answer
$\frac{88}{0.08}$
$=\frac{88\times100}{0.08\times100}$
$=\frac{8800}{8}$
$=1100$
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Question 62 Marks
Convert the following into fractions in the lowest from:
17.38
Answer
$17.38$
$=\frac{17.38}{1}$
$=\frac{17.38\times100}{1\times100}$
$=\frac{1738}{100}$
$=\frac{869}{50}$
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Question 72 Marks
The total weight of some bags of wheat is 1743kg. If each bag weights 49.8kg, how many bags are there?
Answer
Total weight of bags of wheat = 1743kg
Each bag weight = 49.8kg
No of bags $=\frac{1743}{49.8}$
$=\frac{1743\times10}{49.8\times10}$
$=\frac{17430}{498}$
$=35$
Therefore the total numbers of bags are 35
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Question 82 Marks
By how much should 59.71 be decreased to get 34.58?
Answer
59.71 - x = 34.58
59.71 - 34.58 = x
x = 25.13
Therefore 25.13 is decreased to get 34.58
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Question 92 Marks
One kg of rice costs ₹ 42.65. What will be the cost of 18.25kg of rice?
Answer
Cost of one kg rice = 42.65
Cost of 18.25kg = 42.65 × 18.25
= ₹ 778.3625
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Question 102 Marks
How many buckets of equal capacity can be filled from 586.5 litres of water, if each bucket has capacity of 8.5 litres?
Answer
Capacity of each bucket = 805 litres
Total water available = 586.5 litres
Number of buckets $=\frac{805}{586.5}$
$=\frac{805\times10}{586.5\times10}$
$=69$
Total number of buckets is 69
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Question 112 Marks
Divide:
148 by 0.074
Answer
$\frac{148}{0.074}$
$=\frac{148\times1000}{0.074\times1000}$
$=\frac{148000}{74}$
$=2000$
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Question 122 Marks
The weight of 34 bags of sugar is 3483.3kg. If all bags weight equally, find the weight of each bag.
Answer
Total weight of sugar = 3483.3kg
No of bags = 34
Weight of each bag $=\frac{3483.3}{34}$
$=102.45\text{kg}$
Therefore, weight of each bag is 102.45kg.
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Question 132 Marks
Convert the following into fractions in the lowest from:
0.04
Answer
$0.04$
$=\frac{0.04}{1}$
$=\frac{0.04\times100}{1\times100}$
$=\frac{4}{100}$
$=\frac{1}{25}$
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Question 142 Marks
What is to be subtracted from 17.1 to get 2.051?
Answer
17.1 - x = 2.051
17.1 = x + 2.051
x = 17.1 - 2.051
x = 15.049
Therefore 15.049 is subtracted from 17.1 to get 15.049
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Question 152 Marks
The weight of 34 bags of sugar is 3483.3kg. If all bags weigh equally, find the weight of each bag.
Answer
We have,
The product of the given decimals = 42.987
One decimal = 12.46
The other decimal $=\frac{42.987}{12.46}$
$=3.45$
The number is 3.45
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Question 162 Marks
Convert the following into fractions in the lowest from:
0.342
Answer
$0.342$
$=\frac{0.342}{2}$
$=\frac{0.342\times1000}{1\times1000}$
$=\frac{342}{1000}$
$=\frac{171}{500}$
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Question 172 Marks
What is to be added to 36.85 to get 59.41?
Answer
x + 36.85 = 59.41
x = 59.41 - 36.85
x = 22.56
Therefore 22.56 is added to 36.85 to get 59.41
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Question 182 Marks
A car covers adistance of 14.75km in one litre of petrol. How much distance will it cover in 15.5 litres of petrol?
Answer
We have,
Distance in one litre of petrol = 14.75 km
Distance covered in 15.5 litres of petrol = 14.75 × 15.5
= 228.625km
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Question 192 Marks
If the cost of a book is ₹ 25.75, find the cost of 24 such books.
Answer
Cost of one book = ₹ 25.75
Therefore cost of 24 books = 25.75 × 24
= ₹ 618.00
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Question 202 Marks
Divide:
76 by 0.019
Answer
$\frac{76}{0.019}$
$=\frac{76\times1000}{0.019\times1000}$
$=\frac{76000}{19}$
$=4000$
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Question 212 Marks
Divide:
8 by 100
Answer
$\frac{8}{100}$
By shifting the decimal point to the left,
$=\frac{8}{100}$
$=0.08$
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Question 222 Marks
Find the area of a rectang whose length is 5.5m and breadth is 3.4m.
Answer
We have,
Length of rectangle $=5.5 m$
Breadth of rectangle $=3.4 m$
Area of rectangle $=$ Length $\times$ Breadth
$=55 \times 3.4$
$=18.7 m^2$
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Question 232 Marks
Convert the following into fractions in the lowest from:
2.34
Answer
$2.34$
$=\frac{2.34}{1}$
$=\frac{2.34\times100}{1\times100}$
$=\frac{234}{100}$
$=\frac{117}{50}$
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