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Creative questions were added in this question paper in order to enhance the student's knowledge and get the idea that how to answer strategic questions asked in the board exams. This question paper is designed based on the academic syllabus. Sample papers should be practiced in examination condition at home or school and also show it to your teachers for checking or compare with the answers provided.
From the post, the questions are covered from the chapter Decimals and questions are prepared from creative like NCERT and HOTs as well as previous year questions.

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Questions:

Generic 5

2 x 5 = 10

Can you now represent 2.3 on a number line? Check, how many ones and tenths are there in 2.3. Where will it lie on the number line?

Ravi and Raju measured the length of their pencils.Ravi's pencil was 7 cm and 5 mm long and Raju'spencil was 8 cm and 3 mm long. Write the lengths of Ravi's and Raju's pencil (in cm) using decimals.

Generic 2

10 x 2 = 20

Mahesh spent Rs.30.55 tor Mathematics book and Rs.20.34 tor Science book. Find the total amount spent by Mahesh

Subtract 0.95 from 2.29.

By what amount should 78.98 be increased get 145?

Fill the following boxes using the signs' <, =. >'. 0.6 \(\Box\) 0.60

Write each of the following decimals in words. 0.03

Write the following in words. 7.62

Express the following as cm using decimals. 162 mm

10.

Write the following decimals as fractions. Reduce the fractions to lowest form. 0.6

11.

Write each of the following as decimals. Six hundreds point eight

12.

Write each of the following as decimals. Seven-tenths

Generic 3

5 x 3 = 15

13.

Add the following 270.24 + 12.52 + 1.5

14.

Add the following 280.64 + 25.5 + 28

15.

Jassy went to the market with Rs 1000. She bought a school bag Rs 275 and a lunch box Rs 90.50. Find the amount left with her.

16.

Express in kilometers, using decimals. 19 km 48 m

17.

Write as fraction in lowest form. 4.50

Multiple Choice Question

5 x 1 = 5

18.

10mm=

(a)

1.0 cm

(b)

0.1 cm

(c)

0.01 cm

(d)

0.001 cm.

19.

One hundred and l-one =

(a)

101

(b)

1.01

(c)

10.1

(d)

0.101.

20.

Which of the following decimals is the greatest?

(a)

0.182

(b)

0.0925

(c)

0.29

(d)

0.038

21.

The decimal 0.238 is equal to the fraction

(a)

\(\frac { 119 }{ 500 } \)

(b)

\(\frac { 238}{ 25 } \)

(c)

\(\frac { 119}{ 25 } \)

(d)

\(\frac { 119}{ 50} \)

22.

0.023 lies between

(a)

0.2 and 0.3

(b)

0.02 and 0.03

(c)

0.03 and 0.029

(d)

0.026 and 0.024

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Answers Key:

Generic 5

2 x 5 = 10

Yes, we can represent all decimals on the number line.
We know that, 2.3 is greater than 2, but less than 3. So, divide the unit length between 2 and 3 into 10 equal parts and take 3 parts as shown below:

Thus, A represents 2.3 on the number line. There are 2 ones and 3 tenths in 2.3 and it will lie between 2 and 3 on the number line.

Given, length of Ravi's pencil = 7 cm 5 mm
and length of Raju's pencil = 8 cm 3 mm
We know that, 10 mm = 1cm
\(\therefore\)1 mm = \(\frac { 1 }{ 10 } \) cm or one-tenth cm = 0.1 cm
Now, length of Ravi's pencil = 7 cm 5 mm
= 7 cm and 5 tenths cm
= 7cm + \(\frac { 5 }{ 10 } \) cm
= 7 crn+ 0.5 cm = 7.5 cm
and length of Raju's pencil = 8 cm 3 mm
= 8 cm and 3 tenths cm
=8 cm + \(\frac { 3 }{ 10 } \)cm=8 cm + 0.3 cm = 8.3 cm

Generic 2

10 x 2 = 20

Money spent for Mathematics book = Rs.30.55 and money spent for Science book = Rs.20.54
ஃ Total amount spent = 30.55 + 20.54 = ~ 51.09

We have, 2.29 - 0.95
Now,
\(\quad Ones\quad Tenths\quad Hundreaths\\\quad\quad2\quad\quad\quad\quad2\quad\quad\quad\quad\quad9\\-\quad0\quad\quad\quad\quad9\quad\quad\quad\quad\quad5\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\\quad\quad1\quad \quad\quad\quad3\quad\quad\quad\quad\quad4\\ \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\)
\(\therefore\) 2.9 - 0.95 = 1.34

66.02

Decimals in words are given below:
We have, 0.03 = Zero point zero three

Seven point six two

162 mm = 16.2 cm

10.

We have, 0.6=0+\(\frac { 6 }{ 10 } =\frac { 6 }{ 10 } \)
Lowest form=\(\frac { 6\div 2 }{ 10\div 2 } =\frac { 3 }{ 5 } \) [\(\because\) HCF of 6 and 10 = 2]
\(\therefore\) Fraction of 0.6=\(\frac{6}{10} \) and lowest form = \(\frac{3}{5 } \)

11.

Six hundreds point eight = 600.8

12.

Seven-tenths=\(7\times \frac { 1 }{ 10 } =\frac { 7 }{ 10 } =0.7\)

Generic 3

5 x 3 = 15

13.

Here, 270.24 + 12.52+ 1.5 can be written as

270.24 + 12.52 + 1.50 = 284.26

14.

Here 280.64 + 25.5 + 28 can be written as

280.64 + 25.5 + 28 = 334.14

15.

Rs 634.50

16.

19 km 48 m = 19 km + 48 m
=19 km + \(\frac { 48 }{ 1000 } km\)
= 19 km + 0.048 km
= 19.048 km

17.

\(4.50=4+\frac { 50 }{ 100 } =4+\frac { 1 }{ 2 } =4\frac { 1 }{ 2 } =\frac { 9 }{ 2 } \)

Multiple Choice Question

5 x 1 = 5

18.

(a)
1.0 cm

19.

(a)
101

20.

21.

(a)
\(\frac { 119 }{ 500 } \)

22.

(b)
0.02 and 0.03

6th CBSE Mathematics Decimals Important Questions

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