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# Sample Solution Paper 1 - Term- 2 Mathematics, Class 7 Class 7 Notes | EduRev

## Sample Papers For Class 7

Created by: Praveen Kumar

## Class 7 : Sample Solution Paper 1 - Term- 2 Mathematics, Class 7 Class 7 Notes | EduRev

``` Page 1

CBSE VII | Mathematics
Sample Paper 1 â€“ Solution

CBSE Board
Class VII Mathematics
Term II
Sample Paper 1 â€“ Solution
Time: 2 ½ hours                          Total Marks: 80

Section A

Discount = 40% on Rs 7000 = ??
4
7000 Rs 2800
100

Therefore, SP = Rs (7000 - 2800) = Rs 4200.

Since the numerators are equal, so the rational number with the least denominator
is the greatest.

Measure of one side.

a ? a ? a ? a ? y ? y ? y ? y ? z ? z = a
4
y
4
z
2

Number of lines of symmetry of a regular polygon is equal to its number of sides.
Since, regular heptagon has 7 sides, it has 7 lines of symmetry.

Page 2

CBSE VII | Mathematics
Sample Paper 1 â€“ Solution

CBSE Board
Class VII Mathematics
Term II
Sample Paper 1 â€“ Solution
Time: 2 ½ hours                          Total Marks: 80

Section A

Discount = 40% on Rs 7000 = ??
4
7000 Rs 2800
100

Therefore, SP = Rs (7000 - 2800) = Rs 4200.

Since the numerators are equal, so the rational number with the least denominator
is the greatest.

Measure of one side.

a ? a ? a ? a ? y ? y ? y ? y ? z ? z = a
4
y
4
z
2

Number of lines of symmetry of a regular polygon is equal to its number of sides.
Since, regular heptagon has 7 sides, it has 7 lines of symmetry.

CBSE VII | Mathematics
Sample Paper 1 â€“ Solution

A number is chosen from numbers 1 to 5.
Odd numbers are 1, 3 and 5.
Required probability=  ?
Number of ways to choose an odd number 3
Total number of numbers 5

A regular hexagon has 1 centre of rotation.

Substituting the value of x in the given expression, we get:
7 × (-2)
2
-5 × (-2) + k = -4
28 + 10 + k = -4
38 + k = -4
Thus, k = -42

Since, the angle measuring 150
o
and y are corresponding angles. Therefore, y = 150
o
.
(As the lines are parallel, corresponding angles are equal)

-5 + 9 + (-5) + (-10) + (1)
-5 + 9 = 4
4 + (-5) = -1
-1 + (-10) = -1 - 10 = -11
-11 + 1 = -10
So, -5 + 9 + (-5) + (-10) + (1) = -10

Page 3

CBSE VII | Mathematics
Sample Paper 1 â€“ Solution

CBSE Board
Class VII Mathematics
Term II
Sample Paper 1 â€“ Solution
Time: 2 ½ hours                          Total Marks: 80

Section A

Discount = 40% on Rs 7000 = ??
4
7000 Rs 2800
100

Therefore, SP = Rs (7000 - 2800) = Rs 4200.

Since the numerators are equal, so the rational number with the least denominator
is the greatest.

Measure of one side.

a ? a ? a ? a ? y ? y ? y ? y ? z ? z = a
4
y
4
z
2

Number of lines of symmetry of a regular polygon is equal to its number of sides.
Since, regular heptagon has 7 sides, it has 7 lines of symmetry.

CBSE VII | Mathematics
Sample Paper 1 â€“ Solution

A number is chosen from numbers 1 to 5.
Odd numbers are 1, 3 and 5.
Required probability=  ?
Number of ways to choose an odd number 3
Total number of numbers 5

A regular hexagon has 1 centre of rotation.

Substituting the value of x in the given expression, we get:
7 × (-2)
2
-5 × (-2) + k = -4
28 + 10 + k = -4
38 + k = -4
Thus, k = -42

Since, the angle measuring 150
o
and y are corresponding angles. Therefore, y = 150
o
.
(As the lines are parallel, corresponding angles are equal)

-5 + 9 + (-5) + (-10) + (1)
-5 + 9 = 4
4 + (-5) = -1
-1 + (-10) = -1 - 10 = -11
-11 + 1 = -10
So, -5 + 9 + (-5) + (-10) + (1) = -10

CBSE VII | Mathematics
Sample Paper 1 â€“ Solution

Section B

13.
2x-1 x+2
=
32

Multiply both sides by 6 (L.C.M of 3 and 2)
2 (2x -1) = 3 (x + 2)
4x - 2 = 3x + 6
Transpose 3x to L.H.S and -2 to R.H.S
4x -3x = 6 + 2
x = 8

14. Decrease in consumption = 10 - 8 = 2 kg
Therefore,

= ??
2
100 20
10
%

15. The rational form of the given decimals are:

The rational numbers obtained above can be represented as follows:

16. Area of the triangle ABC = 48 m
2

Height, CD = 12 m
Area =
1
2
x base x height
48 =
1
2
x AB x 12
6 x AB = 48
AB = 8 m
Thus, base AB = 8 m

Page 4

CBSE VII | Mathematics
Sample Paper 1 â€“ Solution

CBSE Board
Class VII Mathematics
Term II
Sample Paper 1 â€“ Solution
Time: 2 ½ hours                          Total Marks: 80

Section A

Discount = 40% on Rs 7000 = ??
4
7000 Rs 2800
100

Therefore, SP = Rs (7000 - 2800) = Rs 4200.

Since the numerators are equal, so the rational number with the least denominator
is the greatest.

Measure of one side.

a ? a ? a ? a ? y ? y ? y ? y ? z ? z = a
4
y
4
z
2

Number of lines of symmetry of a regular polygon is equal to its number of sides.
Since, regular heptagon has 7 sides, it has 7 lines of symmetry.

CBSE VII | Mathematics
Sample Paper 1 â€“ Solution

A number is chosen from numbers 1 to 5.
Odd numbers are 1, 3 and 5.
Required probability=  ?
Number of ways to choose an odd number 3
Total number of numbers 5

A regular hexagon has 1 centre of rotation.

Substituting the value of x in the given expression, we get:
7 × (-2)
2
-5 × (-2) + k = -4
28 + 10 + k = -4
38 + k = -4
Thus, k = -42

Since, the angle measuring 150
o
and y are corresponding angles. Therefore, y = 150
o
.
(As the lines are parallel, corresponding angles are equal)

-5 + 9 + (-5) + (-10) + (1)
-5 + 9 = 4
4 + (-5) = -1
-1 + (-10) = -1 - 10 = -11
-11 + 1 = -10
So, -5 + 9 + (-5) + (-10) + (1) = -10

CBSE VII | Mathematics
Sample Paper 1 â€“ Solution

Section B

13.
2x-1 x+2
=
32

Multiply both sides by 6 (L.C.M of 3 and 2)
2 (2x -1) = 3 (x + 2)
4x - 2 = 3x + 6
Transpose 3x to L.H.S and -2 to R.H.S
4x -3x = 6 + 2
x = 8

14. Decrease in consumption = 10 - 8 = 2 kg
Therefore,

= ??
2
100 20
10
%

15. The rational form of the given decimals are:

The rational numbers obtained above can be represented as follows:

16. Area of the triangle ABC = 48 m
2

Height, CD = 12 m
Area =
1
2
x base x height
48 =
1
2
x AB x 12
6 x AB = 48
AB = 8 m
Thus, base AB = 8 m

CBSE VII | Mathematics
Sample Paper 1 â€“ Solution

17. Consider:
3(a + b) - 2(2a - b) + 4a - 7
= 3a + 3b - 4a + 2b + 4a - 7
= (3a - 4a + 4a) + (2b + 3b) - 7
= 3a + 5b - 7

18. We have,

Since bases are equal, powers are also equal.

19. The alphabet is H
It has 2 lines of symmetry as shown below:

After rotating the letter H through 180
o
, we find that the image remains same. So the
order of rotational symmetry is 2.

20. Number of cubes in the first layer = 5 x 5 = 25
Number of cubes in the second layer = 13 + 4 = 17
Number of cubes in third layer = 4
Hence, total number of cubes = 25 + 17 + 4 = 46

Page 5

CBSE VII | Mathematics
Sample Paper 1 â€“ Solution

CBSE Board
Class VII Mathematics
Term II
Sample Paper 1 â€“ Solution
Time: 2 ½ hours                          Total Marks: 80

Section A

Discount = 40% on Rs 7000 = ??
4
7000 Rs 2800
100

Therefore, SP = Rs (7000 - 2800) = Rs 4200.

Since the numerators are equal, so the rational number with the least denominator
is the greatest.

Measure of one side.

a ? a ? a ? a ? y ? y ? y ? y ? z ? z = a
4
y
4
z
2

Number of lines of symmetry of a regular polygon is equal to its number of sides.
Since, regular heptagon has 7 sides, it has 7 lines of symmetry.

CBSE VII | Mathematics
Sample Paper 1 â€“ Solution

A number is chosen from numbers 1 to 5.
Odd numbers are 1, 3 and 5.
Required probability=  ?
Number of ways to choose an odd number 3
Total number of numbers 5

A regular hexagon has 1 centre of rotation.

Substituting the value of x in the given expression, we get:
7 × (-2)
2
-5 × (-2) + k = -4
28 + 10 + k = -4
38 + k = -4
Thus, k = -42

Since, the angle measuring 150
o
and y are corresponding angles. Therefore, y = 150
o
.
(As the lines are parallel, corresponding angles are equal)

-5 + 9 + (-5) + (-10) + (1)
-5 + 9 = 4
4 + (-5) = -1
-1 + (-10) = -1 - 10 = -11
-11 + 1 = -10
So, -5 + 9 + (-5) + (-10) + (1) = -10

CBSE VII | Mathematics
Sample Paper 1 â€“ Solution

Section B

13.
2x-1 x+2
=
32

Multiply both sides by 6 (L.C.M of 3 and 2)
2 (2x -1) = 3 (x + 2)
4x - 2 = 3x + 6
Transpose 3x to L.H.S and -2 to R.H.S
4x -3x = 6 + 2
x = 8

14. Decrease in consumption = 10 - 8 = 2 kg
Therefore,

= ??
2
100 20
10
%

15. The rational form of the given decimals are:

The rational numbers obtained above can be represented as follows:

16. Area of the triangle ABC = 48 m
2

Height, CD = 12 m
Area =
1
2
x base x height
48 =
1
2
x AB x 12
6 x AB = 48
AB = 8 m
Thus, base AB = 8 m

CBSE VII | Mathematics
Sample Paper 1 â€“ Solution

17. Consider:
3(a + b) - 2(2a - b) + 4a - 7
= 3a + 3b - 4a + 2b + 4a - 7
= (3a - 4a + 4a) + (2b + 3b) - 7
= 3a + 5b - 7

18. We have,

Since bases are equal, powers are also equal.

19. The alphabet is H
It has 2 lines of symmetry as shown below:

After rotating the letter H through 180
o
, we find that the image remains same. So the
order of rotational symmetry is 2.

20. Number of cubes in the first layer = 5 x 5 = 25
Number of cubes in the second layer = 13 + 4 = 17
Number of cubes in third layer = 4
Hence, total number of cubes = 25 + 17 + 4 = 46

CBSE VII | Mathematics
Sample Paper 1 â€“ Solution

21. Drawing the relational part, the images become as follows:

22.

i. 343000 = 343 × 1000
= 7 × 7 × 7 × 10 × 10 × 10
= 7
3
×10
3

ii. 2048 = 2 × 1024
= 2 × 2 × 512
= 2 × 2 × 2 × 256
= 2 × 2 × 2 × 2 × 128
= 2 × 2 × 2 × 2 × 2 × 64
= 2 × 2 × 2 × 2 × 2 × 2 × 32
= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 16
= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 8
= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
= 2
11

23. Total tons of hay owned by the farmer =
1
56
2
tons
Amount of hay sold by him =
3
5
of
1
56
2
tons
i.e.
3
5
×
1
56
2
['of' means multiplication]
3 113
=×
52
3×113
=
5×2
339
=
10
9
=33
10

Thus, the farmer sold
9
33
10
tons of hay.

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