# Free Decimals 03 Practice Test - 6th grade

### Question 1

Which of the following fraction will give non-terminating decimal on conversion?

83

38

12

714

#### SOLUTION

Solution :A

Among the options, only 83 is the fraction which will give non-terminating decimal. This is because all other options have denominator having on 2 and 5 as prime factors after standardising.

### Question 2

Which one of the following lies between 0.3 and 0.7?

0.2

0.4

0.8

0.9

#### SOLUTION

Solution :B

Consider 0.9, it is greater than 0.7 as well as 0.3, hence it cannot lie between 0.3 and 0.7. Similarly, 0.2 and 0.8 cannot lie between 0.3 and 0.7.

But, 0.4 is greater than 0.3 and less than 0.7. Hence, it lies between 0.3 and 0.7.

OR

0.2 has 2 tenths, 0.3 has 3 tenths, 0.4 has 4 tenths, 0.7 has 7 tenths, 0.8 has 8 tenths and 0.9 has 9 tenths.

2 tenths<3 tenths<4 tenths<7 tenths<8 tenths<9 tenths

⟹0.2<0.3<0.4<0.7<0.8<0.9

Thus, 0.4 lies between 0.3 and 0.9.

### Question 3

If ₹ 70 is distributed equally among 40 poor children, how much will each child get?

₹17.5

₹1.75

₹2.80

₹ 3.20

#### SOLUTION

Solution :B

Amount each child will get =Total moneyNumber of children=7040=74=7×254×25=175100=₹1.75

So, each child will get ₹ 1.75.

### Question 4

In a marathon of 5.75 km, first break was taken after running 2.8 km and second break after another 1.3 km . Find the distance left to finish the marathon.

1.65 km

1.75 km

1.85 km

1.95 km

#### SOLUTION

Solution :A

Total distance covered before second halt = (2.8 + 1.3) km = 4.1 km

Therefore, distance left = (5.75 - 4.10) km = 1.65 km

### Question 5

Find the digit in the hundredths place in the number 562.3254.

3

5

6

2

#### SOLUTION

Solution :D

The place value chart for the decimal number 562.3254 is as below:

Hundreds 5

Tens 6

Ones 2

Tenths 3

Hundredths 2

Thousandths 5

Ten-thousandths 4

So, the digit in the hndredths place in the number 562.3254 is 2.

### Question 6

Ram bought 5.5 kg of rice at Rs. 13.5 per kg. What was the total cost of rice?

Rs 74.25

Rs. 42.96

Rs. 73.96

Rs. 43.69

#### SOLUTION

Solution :A

Total cost = Amount of rice × rate per kg

= 5.5 × 13.5

The product is given by:

So, the total amount paid is Rs. 74.25.

### Question 7

Represent 435 as a decimal.

3.6

4.6

5.6

6.6

#### SOLUTION

Solution :B

435=235=2×232×5=4610 = 4.6

### Question 8

59.365 + 362.58 + 64.187 = ______.

468.123

486.322

486.122

486.132

#### SOLUTION

Solution :D

Addition should be done as follows:

59.365

+ 362.580

+ 64.187486.132

So, the answer is 486.132.

### Question 9

Convert 1.25 into a fraction in its simplest form.

12

34

54

74

#### SOLUTION

Solution :C

1.25=125100

=5×254×25

=54

∴1.25=54

### Question 10

The number which is greater among 0.0037 and 0.0307 is

#### SOLUTION

Solution :Compare the decimals.Till tenth place, digits are same. But digit at hundredth place in 0.0307 is more than the digit at hundredth place in 0.0037. So, 0.0307 is greater than 0.0037.