7th Standard CBSE Syllabus & Materials
7th Standard CBSE
CBSE 7th Social Science Theme E - Understanding Market - New Sample Question Papers Study Material - QB365 Set A
NEW7th Standard CBSE
CBSE 7th Social Science Theme E - From Barter to Money - New Sample Question Papers Study Material - QB365 Set A
NEW7th Standard CBSE
CBSE 7th Social Science Theme D - The Constitution of India- An Introduction - New Sample Question Papers Study Material - QB365 Set A
NEW7th Standard CBSE
CBSE 7th Social Science Theme D - From the Rulers to the Ruled : Types of Governments - New Sample Question Papers Study Material - QB365 Set A
NEW7th Standard CBSE
CBSE 7th Social Science Theme B - The Age of Reorganisation - New Sample Question Papers Study Material - QB365 Set A
NEW7th Standard CBSE
CBSE 7th Social Science Theme B - The Rise of Empires - New Sample Question Papers Study Material - QB365 Set A
Published on: 31/12/2018
Class 7 Model Question
Download CBSE Class 7th Standard CBSE Mathematics question papers, sample papers, important questions, and previous year solved papers in PDF format. Get free study materials, NCERT solutions, and exam preparation resources for Class 7th Standard CBSE Mathematics
Questions + Answers key
Take MCQ Mathematics Test
1.
Evaluate: 24 x 25
2.
A square has sides of dimension 4 cm. A rectangle is drawn with length equal to side of square and breadth one less than the side of square. Find the perimeter of such rectangle.
3.
Which of the following decimal numbers is greater? 0.9 or 0.11
4.
Find the product \(\frac { 7 }{ 2 } \times \frac { 9 }{ 4 } \times 1\frac { 1 }{ 4 } \)
5.
Find the pairs of supplementary angles in the question figure.
6.
Check whether the value given in the brackets is a solution to the given equation or not: 4p- 3= 13 (p=-4)
7.
An isometric sketch does not have proportional length
8.
\(\left( \frac { 7 }{ 3 } \right) ^{ 2 }\times \left( \frac { 7 }{ 3 } \right) ^{ 5 }=\left( \frac { 7 }{ 3 } \right) ^{ 10 }\).
9.
(-3) \(\div\) (-3) = 1
10.
If two legs of a right angled triangle are equal to two legs of another right angled triangle, then the right angled triangles are congruent.
11.
\(\frac { 24 }{ 64 } \div \frac { 6 }{ 16 } =\frac { 4 }{ 7 } \)
12.
Which is greater \(-\frac{2}{3}\ or\ (-\frac{3}{4})?\)
13.
Solve the teasers:
I have some five-rupee coins and some two-rupee coins. The number of two rupee coins is twice the number of five rupee coins. The total money I have is 108 rupees. So how many five-rupee coins do I have? And how many two rupee coins?
14.
The product of two numbers is 20\(\frac { 5 }{ 7 } \) If one of the numbers is 6\(\frac { 2 }{ 3 } \) find the other
15.
Juhi sells a washing machine for Rs 13500. She loses 20% in the bargain. What was the price at which she bought it?
16.
A die is thrown 300 times and the outcomes are noted as shown below
| Outcomes | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|
| Frequency | 35 | 45 | 38 | 46 | 65 | 71 |
What is the probability of getting an even number?
17.
Express the following in exponential form:
\({2^3\times 2^{10}\over 2^5}\)
18.
In the given \(\triangle PQR\), ST II OR. Find the values of x, y and z.
19.
Look at the following table and fill up the blank spaces.
| Hundreds (100) | Tens (10) | Ones (1) | Tenths (\(\frac{1}{10}\)) | Hundredths (\(\frac{1}{100}\)) |
Thousandths (\(\frac{1}{1000}\)) | Number |
|---|---|---|---|---|---|---|
| 2 | 5 | 3 | 1 | 4 | 7 | 253.147 |
| 6 | 2 | 9 | 3 | 2 | 1 | _______ |
| 0 | 4 | 3 | 1 | 9 | 2 | _______ |
| _____ | 1 | 4 | 2 | 5 | 1 | 514.251 |
| 2 | ______ | 6 | 5 | 1 | 2 | 236.512 |
| _____ | 2 | ______ | 5 | _______ | 3 | 724.503 |
| 6 | ______ | 4 | _______ | 2 | ________ | 614.326 |
| 0 | 1 | 0 | 5 | 3 | 0 | ______ |
20.
Simplify
\(\frac { 3 }{ 7 } \div \left( \frac { 21 }{ -55 } \right) \)
21.
In the given figure, examine whether the following pairs of lines are parallel or not.
EF and GH
22.
When 2x - 3 = 5, then x =______________________.
23.
45 mm =_____m
24.
25 ml is ____________________ percent of 5 liters.
25.
(-28) ÷ (-28) = ______
26.
Rhombus is a figure that has __________ lines of symmetry and has a rotational symmetry of order _____________
27.
Convert \({1\over 5}\) to per cent
10%
20%
40%
80%.
28.
The name of the solid shape is
cuboid
cube
pyramid
cone.
29.
1.2 x 10 is equal to
12
120
0.12
none of these
30.
rational number \(\frac{p}{q}\)is said to be in its simplest form, when
'p' is a prime number.
'q' is a prime number.
'p' and 'q' both are prime to each other.
all of the above.
31.
If the two sides of a triangle are equal then it is called an___________ triangle.
equilateral
isosceles
32.
Which of the following is the value of 2.3 \(\div\) 1000 is:
0.0023
0.023
2300.0
230.0
33.
Statements a and b are as given below:
a: If two lines intersect, then the vertically opposite angles are equal.
b: If a transversal intersects, two other lines, then the sum of two interior angles on the same side of the transversal is 180°.
Then
Both a and b are true
a is true and b is false
a is false and b is true
both a and b are false
34.
[(-3)2]3 is equal to :
(-3)8
(-3)6
(-3)5
(-3)23
35.
A shopkeeper makes a profit of Rs 5 on each pen and incurs a loss of Rs 2 on each pencil box. What will be his net profit if he sells ten pens and ten pencil boxes?
20
30
50
100
36.
The degree of the polynomial 5x3 - 2x2 + 1 is
3
2
0
4
37.
Simplify:
(a) \(\frac{12^4\times 9^3\times 4}{6^3\times 8^2\times 27}\)
(b) 23 x a3 x 5a4
38.
In an isosceles triangle, the base angles are equal. The vertex angle is 48. What are the base angles of the triangles?
39.
If (2n + 1) is an odd number, then find the number for n = 5.
40.
Look at the adjoining figure. Find its area.
41.
What is the order of rotational symmetry of a square?
42.
Find:
\(\frac{-3}{8}\div(\frac{-2}{13})\)
43.
If 2A = 3B and 5B = 6C, then what is A : C?
44.
A transversal is a line that intersects two or more lines at _________points.
45.
Find:35.6 x 10
46.
What do we call a triangle whose each angle is 60°?
47.
In a class test, 5 marks are given for every correct answer and (-2) marks are given for every incorrect answer. Ravi answered all the questions and scored 30 marks. If he gave wrong answers for 10 questions then how many correct answers had he attempted?
48.
The marks of 11 students out of 25 are as follows: 21, 20, 13, 15, 10, 20, 15, 21, 18, 20 and 14
Find the range.
1.
29
2.
14cm
3.
Given, 0.9 or 0.11
For greater decimal number, compare the digits at tenth place.
9 > 1
So, 0.9 > 0.11
4.
\(9\frac { 27 }{ 32 } \)
5.
In this pair, measures of the given angles are 110° and 50°.
\(\therefore\) Sum of the given angles = 110° + 50° = 160°,
which is less than 180°.
So, this pair of angles is not supplementary.
6.
When, p = - 4
then 4p - 3 = 4(- 4) - 3 = - 16 - 3
= -19 \(\neq \) 13
So, P = - 4 is not a solution of the given equation.
7.
(b)
8.
(b)
9.
(a)
10.
(a)
11.
(b)
12.
We have
\(\frac{2}{3}=\frac{2\times4}{3\times4}=\frac{8}{12}\)
\(\frac{3}{4}=\frac{3\times3}{4\times3}=\frac{9}{12}\)
\(\frac{8}{12}<\frac{9}{12}\)
\(\Rightarrow \frac{2}{3}<\frac{3}{4}\Rightarrow-\frac{2}{3}>(-\frac{3}{4})\)
13.
Let the number of five-rupee coins be x.
Then, number of two-rupee coins = 2x
∴ Total money
=5xx+2x2x
=5x + 4x = Rs. 9x
According to the question,
9x=108\(\Rightarrow \)x=\(\frac { 108 }{ 9 } \)
=> x = 12 => 2x = 2 x 12 = 24
Hence, I have 12 five-rupee coins and 24 two-rupee coins.
14.
We have,
Product of two numbers = 20\(\frac { 5 }{ 7 } \)=\(\frac { 145 }{ 7 } \)
One of the number =6\(\frac { 2 }{ 3 } \)=\(\frac { 20 }{ 3 } \)
The other number = (Product of the numbers ÷ One of the numbers)
= \(\frac { 145 }{ 7 } \div \frac { 20 }{ 3 } \)
=\(\frac { 145 }{ 7 } \times \frac { 3 }{ 20 } =\frac { 145\times 3 }{ 7\times 20 } =\frac { 29\times 3 }{ 7\times 4 } =\frac { 87 }{ 28 } =3\frac { 3 }{ 28 } \)
Hence, the other number is 3 \(\frac { 3 }{ 28 } \)
15.
Given, SP of washing machine = Rs 13500
Loss per cent = 20%
Now, SP = CP - Loss
\(\Rightarrow\) SP = CP - 20% of CP
\(\Rightarrow\)\(13500=CP-{1\over5}\times CP\ \Rightarrow\ 13500=CP\left( 1-{1\over5} \right)\)
\(\Rightarrow\) \(CP={13500\times5\over4}=3375\times5
\) \(\Rightarrow\) CP = Rs. 16875
Hence, Juhi bought a washing machine of Rs 16875.
16.
Frequency of getting an even number.
= Frequency of getting 2 + Frequency of getting 4 + Frequency of getting 6.
= 45 + 46 + 71 = 162
\(\therefore\) Probability of getting an even number
=\(\frac { 162 }{ 300 } =\frac { 81 }{ 150 } =\frac { 27 }{ 50 } \)
17.
28
18.
In \(\triangle PQR\)
\(\angle P+\angle Q+\angle R=180°\)
[since, the sum of all angles of a triangle is 180°]
\(\Rightarrow\) z + 30° + 40° = 1800
\(\Rightarrow\) z + 70° = 180°
\(\Rightarrow\) Z = 180° - 70°
\(\Rightarrow\) Z = 110°
ST II QR
Now, \(\angle PST=\angle PQR\)
[since, corresponding angles are equal]
\(\Rightarrow \angle x=30°\) and \( \angle PTS=\angle PRQ\)
[since, corresponding angles are equal]
\(\Rightarrow \angle y=40°\)
19.
The complete table is shown below
| Hudrends (100) | Tens (10) | Ones(1) | Tenths(\(\frac{1}{10}\)) | Hudrendths(\(\frac{1}{100}\)) | Thousandths(\(\frac{1}{1000}\)) | Number |
|---|---|---|---|---|---|---|
| 2 | 5 | 3 | 1 | 4 | 7 | 253.147 |
| 6 | 2 | 9 | 3 | 2 | 1 | 629.321 |
| 0 | 4 | 3 | 1 | 9 | 2 | 043.192 |
| 5 | 1 | 4 | 2 | 5 | 1 | 514.251 |
| 2 | 3 | 6 | 5 | 1 | 2 | 236.512 |
| 7 | 2 | 4 | 5 | 0 | 3 | 724.503 |
| 6 | 1 | 4 | 3 | 2 | 6 | 614.326 |
| 0 | 1 | 0 | 5 | 3 | 0 | 010.530 |
20.
Given,\(\frac { 3 }{ 7 } \div \left( \frac { 21 }{ -55 } \right) \)
The reciprocal of \(\\ \frac { 21 }{ -55 } \frac { -55 }{ 21 } \) .
So,\(\\ \frac { 3 }{ 7 } \times \frac { (-55) }{ 21 } =\frac { (-55)\times 3 }{ 7\times 21 } =\frac { -55 }{ 49 } \)
21.
Given, \(\angle \)PSR = 115°; \(\angle \)RQD = 70° and \(\angle \)CPF = 65°
\(\angle \) PQR + \(\angle \)RQD = 180° [linear pair]
\(\Rightarrow\) \(\angle \)PQR = 180° - 70° \(\Rightarrow\) \(\angle \)PQR = 110°
\(\angle \)CPF = \(\angle \)SPQ = 65 °
[vertically opposite angles]
If EF || GH
Then, according to the definition of cointerior angles, the sum of \(\angle \)SPQ + \(\angle \)RQP should be 180°.
\(\therefore\) 65° + 110° = 175° \(\neq \) 180 °
So, EF is not parallel to GH.
22.
( )
4
23.
( )
0.045
24.
( )
0.5%
25.
( )
1
26.
( )
4
27.
\({1\over5}={1\over5}\times 100\% =20\%\)
28.
(a)
cuboid
29.
12 x 10 = 120 \(\therefore\)1.2 x 10 = 12.
30.
(c)
'p' and 'q' both are prime to each other.
31.
(b)
isosceles
32.
33.
(b)
a is true and b is false
34.
(b)
(-3)6
35.
(b)
30
36.
(a)
3
37.
(a) \(\frac{12^4\times 9^3\times 4}{6^3\times 8^2\times 27} =\frac{(3\times 2^2)^4\times (3^2)^3\times 2^2}{(2\times 3)^3\times (2^3)^2\times 3^3}\)
\(=\frac{3^4\times 2^8\times 3^6\times 2^2}{2^3\times3^3\times2^6\times3^3}\)
\(=\frac{2^{8+2}\times 3^{6+4}}{2^{6+3}\times 3^{3+3}}\)
\(=\frac{2^{10}\times 3^{10}}{2^9\times 3^6}=2^{10-9}\times 3^{10-6}\)
= 2 x 34 = 2 x 81 = 162.
(b) 23 x a3 x 5a4
= 8 x a3 x 5 x a4
= 8 x 5 x a3 x a4
= 40 x a3 + 4
= 40 x a7
= 40a7.
38.
Let the value of the base angle be x°
Vertex angle = 48°
\(\because\) Sum of all angles of triangle = 180°
\(\therefore\) x+x+48° = 180°
\(\Rightarrow\) 2x + 48° = 180°
\(\Rightarrow\) 2x = 180° - 48°
\(\Rightarrow\) 2x = 132°
\(\Rightarrow \quad x=\frac { 132° }{ 2 } \)
\(\Rightarrow\) x = 66°
\(\therefore\) The value of the base angles of the triangle is 66°.
39.
( )
11
40.
( )
504 cm2
41.
( )
4
42.
( )
2\(\frac{7}{16}\)
43.
( )
9 : 5
44.
( )
distinct
45.
( )
356
46.
( )
Equilateral
47.
( )
10
48.
( )
11
7th Standard CBSE Syllabus & Materials
7th Standard CBSE
CBSE 7th Social Science Theme B - New Beginnings : Cities and States - New Sample Question Papers Study Material - QB365 Set A
NEW7th Standard CBSE
CBSE 7th Social Science Theme A - Climates of India - New Sample Question Papers Study Material - QB365 Set A
NEW7th Standard CBSE
CBSE 7th Social Science Theme A - Geographical Diversity of India - New Sample Question Papers Study Material - QB365 Set A
NEW7th Standard CBSE
CBSE 7th Science Earth, Moon and the Sun - New Sample Question Papers Study Material - QB365 Set A
CBSE 7th Standard CBSE Subjects
CBSE Standards
