Class 7 Math: CBSE Past Year Paper - 10 | Mathematics (Maths) Class 7 PDF Download

 Page 1


 ANNUAL EXAMINATION - MARCH 2008 
CLASS :VII 
SUBJECT:MATHEMATICS 
SET-A 
Instructions: 
MAX.MARKS:100 
TIME :3 hrs 
1. There are 25 questions in this paper divided into 3 sections.
2. All questions are compulsoi:y. However, there is internal choice in every section.
SECTION-A 
(Each question carries 3 marks 
) 
1. Veri fy (-31) x [ (-2) + (-8)] = [ (-31) x (-2)] + [ (-
31) x (-8) ].
2 .The scores in Mathematics test (out of 100) of 9 students is as follows. 
84, 92, 75, 97, 92, 90, 95, 84, 92. Find the mean, mode and median of this 
data. 
3. Simplify combining like terms and find the value of the expression
a
2 
- ab - b
2 
+ b(a-b), If a
= 
( -2), b = 1 
4. Out of 25,000 voters in a constituency 72% voted. Find the number of voters
who did not vote ?
OR
30% apples in a basket are rotten. How many apples are there in the basket if
135 apples are rotten ?
5. Draw lines of symmetry and give the order of rotational symmetry for the
following figure:
6. A shopkeeper buys a radio
;. set for Rs 550 and sells it for Rs 660. Find his loss
percent or profit percent. 
:,
7. In a class test containing 12 questions, 5 marks are given for every correct
answer and (-2) marks are given for every incorrect answer. Ria attempted all
questions and got 5 correct and 7 incorrect answers. What is her total score ?
8. Construct .£\PQR with PR= 7.5cm, QR= 5cm and lR = 10
°
.
Page 2


 ANNUAL EXAMINATION - MARCH 2008 
CLASS :VII 
SUBJECT:MATHEMATICS 
SET-A 
Instructions: 
MAX.MARKS:100 
TIME :3 hrs 
1. There are 25 questions in this paper divided into 3 sections.
2. All questions are compulsoi:y. However, there is internal choice in every section.
SECTION-A 
(Each question carries 3 marks 
) 
1. Veri fy (-31) x [ (-2) + (-8)] = [ (-31) x (-2)] + [ (-
31) x (-8) ].
2 .The scores in Mathematics test (out of 100) of 9 students is as follows. 
84, 92, 75, 97, 92, 90, 95, 84, 92. Find the mean, mode and median of this 
data. 
3. Simplify combining like terms and find the value of the expression
a
2 
- ab - b
2 
+ b(a-b), If a
= 
( -2), b = 1 
4. Out of 25,000 voters in a constituency 72% voted. Find the number of voters
who did not vote ?
OR
30% apples in a basket are rotten. How many apples are there in the basket if
135 apples are rotten ?
5. Draw lines of symmetry and give the order of rotational symmetry for the
following figure:
6. A shopkeeper buys a radio
;. set for Rs 550 and sells it for Rs 660. Find his loss
percent or profit percent. 
:,
7. In a class test containing 12 questions, 5 marks are given for every correct
answer and (-2) marks are given for every incorrect answer. Ria attempted all
questions and got 5 correct and 7 incorrect answers. What is her total score ?
8. Construct .£\PQR with PR= 7.5cm, QR= 5cm and lR = 10
°
.
9. The length and breadth of a rectangular park is 250m and 125m respectively.
Find the area and perimeter of the park.
10. A 10m long ladder reached a window 8m high from the ground on placing it
against a wall at a distance 'x' meters. Find the distance of the foot of the
ladder from the wall.
SECTION B 
( Each question carries 4 marks ) 
11. Stmphfy: 
-+--. + -x-
. . 
[
5 (-18)
] [
13 3
]
6 15 15  
12. In a garden there are 125 trees in which some are fruittrees. The numbers of
non-fruit trees are five more than twice the number of fruit trees. Find the
number of fruit trees.
OR 
Solve for m: 24 - 5 (m -2) = 9 
13:a) Is it possible to have a triangle with sides 3cm, 4cm and 6cm? Give 
reasons. 
b) FincUhe value of x a-nd yin th-e-followin-g figure:--
14. Using congruence criterion, show that
?ABC and ?CDA are congruent.
B 
A c? 
15. Rs 30000 each were lent to Rajeev and Sanjeev at 6% per annum for a
period of 3 years and 5 years respectively. Find the difference of interests
paid by them.
16. Construct ?ABC if AB= 7cm, LB= 40
° 
and LC= 45
° 
Page 3


 ANNUAL EXAMINATION - MARCH 2008 
CLASS :VII 
SUBJECT:MATHEMATICS 
SET-A 
Instructions: 
MAX.MARKS:100 
TIME :3 hrs 
1. There are 25 questions in this paper divided into 3 sections.
2. All questions are compulsoi:y. However, there is internal choice in every section.
SECTION-A 
(Each question carries 3 marks 
) 
1. Veri fy (-31) x [ (-2) + (-8)] = [ (-31) x (-2)] + [ (-
31) x (-8) ].
2 .The scores in Mathematics test (out of 100) of 9 students is as follows. 
84, 92, 75, 97, 92, 90, 95, 84, 92. Find the mean, mode and median of this 
data. 
3. Simplify combining like terms and find the value of the expression
a
2 
- ab - b
2 
+ b(a-b), If a
= 
( -2), b = 1 
4. Out of 25,000 voters in a constituency 72% voted. Find the number of voters
who did not vote ?
OR
30% apples in a basket are rotten. How many apples are there in the basket if
135 apples are rotten ?
5. Draw lines of symmetry and give the order of rotational symmetry for the
following figure:
6. A shopkeeper buys a radio
;. set for Rs 550 and sells it for Rs 660. Find his loss
percent or profit percent. 
:,
7. In a class test containing 12 questions, 5 marks are given for every correct
answer and (-2) marks are given for every incorrect answer. Ria attempted all
questions and got 5 correct and 7 incorrect answers. What is her total score ?
8. Construct .£\PQR with PR= 7.5cm, QR= 5cm and lR = 10
°
.
9. The length and breadth of a rectangular park is 250m and 125m respectively.
Find the area and perimeter of the park.
10. A 10m long ladder reached a window 8m high from the ground on placing it
against a wall at a distance 'x' meters. Find the distance of the foot of the
ladder from the wall.
SECTION B 
( Each question carries 4 marks ) 
11. Stmphfy: 
-+--. + -x-
. . 
[
5 (-18)
] [
13 3
]
6 15 15  
12. In a garden there are 125 trees in which some are fruittrees. The numbers of
non-fruit trees are five more than twice the number of fruit trees. Find the
number of fruit trees.
OR 
Solve for m: 24 - 5 (m -2) = 9 
13:a) Is it possible to have a triangle with sides 3cm, 4cm and 6cm? Give 
reasons. 
b) FincUhe value of x a-nd yin th-e-followin-g figure:--
14. Using congruence criterion, show that
?ABC and ?CDA are congruent.
B 
A c? 
15. Rs 30000 each were lent to Rajeev and Sanjeev at 6% per annum for a
period of 3 years and 5 years respectively. Find the difference of interests
paid by them.
16. Construct ?ABC if AB= 7cm, LB= 40
° 
and LC= 45
° 
17. In figure AB= AC and Dis the mid-point of BC.
a) State the three pairs of equal parts
•. in ?ADB and ?ADC.
b) Is ?ADB = ?ADC .Give reasons.
A 
B 
,_ __ __.___ ___ c. 
' 
1) 
18. From a circular sheet of radius 12cm a circle of radius 9cm is removed. Find
the area of the remaining sheet. ( use 1r 
= 
22 
).
7 
P _____ --,? 
. 19. PL and RM are heights on sides SR and PS 
respectively of parallelogram FQRS. If the area 
of the parallelogram is 1440cm
2
, SR = 48cm and 
PS= 40cm. Find the lengths of PL and RM. r- - -- . i 
- --
S L 
20. From the sum of 2x
2
- xy + y
2 
and - 2y
2 
+x
2 
-2xy subtract the sum of
y
2
- x2 +xy and -y
2 
+4xy +2x
2
.
SECTION C 
(Each question carries 6 marks ) 
21. The death-rate per thousand of some countries in a certain year is as follows.
Represent the d?ta on a bar graph.
Countries India Japan Russia Australia 
Egypt 
Death rate 24 19 16 9 24
(per thousand) 
a) For which country death rate is minimum.
b) For which country death rate is maximum.
22. In figure AC= BO and LC =LD. With the help of congruence
criterion, show that MOC = MOD. A
a) Is OC = OD ? Justify. ·
b) Is OA =OB? Give reasons.
Pakistan 
11 
23. a) Roshini bought a T.V set for Rs 12500. After two years she sold it at 6%
profit. Find the selling price of the T.V. 
b) Population of a city decreased from 30000 to 28500. Find the percentage
decrease.
(3+3) 
D 
Page 4


 ANNUAL EXAMINATION - MARCH 2008 
CLASS :VII 
SUBJECT:MATHEMATICS 
SET-A 
Instructions: 
MAX.MARKS:100 
TIME :3 hrs 
1. There are 25 questions in this paper divided into 3 sections.
2. All questions are compulsoi:y. However, there is internal choice in every section.
SECTION-A 
(Each question carries 3 marks 
) 
1. Veri fy (-31) x [ (-2) + (-8)] = [ (-31) x (-2)] + [ (-
31) x (-8) ].
2 .The scores in Mathematics test (out of 100) of 9 students is as follows. 
84, 92, 75, 97, 92, 90, 95, 84, 92. Find the mean, mode and median of this 
data. 
3. Simplify combining like terms and find the value of the expression
a
2 
- ab - b
2 
+ b(a-b), If a
= 
( -2), b = 1 
4. Out of 25,000 voters in a constituency 72% voted. Find the number of voters
who did not vote ?
OR
30% apples in a basket are rotten. How many apples are there in the basket if
135 apples are rotten ?
5. Draw lines of symmetry and give the order of rotational symmetry for the
following figure:
6. A shopkeeper buys a radio
;. set for Rs 550 and sells it for Rs 660. Find his loss
percent or profit percent. 
:,
7. In a class test containing 12 questions, 5 marks are given for every correct
answer and (-2) marks are given for every incorrect answer. Ria attempted all
questions and got 5 correct and 7 incorrect answers. What is her total score ?
8. Construct .£\PQR with PR= 7.5cm, QR= 5cm and lR = 10
°
.
9. The length and breadth of a rectangular park is 250m and 125m respectively.
Find the area and perimeter of the park.
10. A 10m long ladder reached a window 8m high from the ground on placing it
against a wall at a distance 'x' meters. Find the distance of the foot of the
ladder from the wall.
SECTION B 
( Each question carries 4 marks ) 
11. Stmphfy: 
-+--. + -x-
. . 
[
5 (-18)
] [
13 3
]
6 15 15  
12. In a garden there are 125 trees in which some are fruittrees. The numbers of
non-fruit trees are five more than twice the number of fruit trees. Find the
number of fruit trees.
OR 
Solve for m: 24 - 5 (m -2) = 9 
13:a) Is it possible to have a triangle with sides 3cm, 4cm and 6cm? Give 
reasons. 
b) FincUhe value of x a-nd yin th-e-followin-g figure:--
14. Using congruence criterion, show that
?ABC and ?CDA are congruent.
B 
A c? 
15. Rs 30000 each were lent to Rajeev and Sanjeev at 6% per annum for a
period of 3 years and 5 years respectively. Find the difference of interests
paid by them.
16. Construct ?ABC if AB= 7cm, LB= 40
° 
and LC= 45
° 
17. In figure AB= AC and Dis the mid-point of BC.
a) State the three pairs of equal parts
•. in ?ADB and ?ADC.
b) Is ?ADB = ?ADC .Give reasons.
A 
B 
,_ __ __.___ ___ c. 
' 
1) 
18. From a circular sheet of radius 12cm a circle of radius 9cm is removed. Find
the area of the remaining sheet. ( use 1r 
= 
22 
).
7 
P _____ --,? 
. 19. PL and RM are heights on sides SR and PS 
respectively of parallelogram FQRS. If the area 
of the parallelogram is 1440cm
2
, SR = 48cm and 
PS= 40cm. Find the lengths of PL and RM. r- - -- . i 
- --
S L 
20. From the sum of 2x
2
- xy + y
2 
and - 2y
2 
+x
2 
-2xy subtract the sum of
y
2
- x2 +xy and -y
2 
+4xy +2x
2
.
SECTION C 
(Each question carries 6 marks ) 
21. The death-rate per thousand of some countries in a certain year is as follows.
Represent the d?ta on a bar graph.
Countries India Japan Russia Australia 
Egypt 
Death rate 24 19 16 9 24
(per thousand) 
a) For which country death rate is minimum.
b) For which country death rate is maximum.
22. In figure AC= BO and LC =LD. With the help of congruence
criterion, show that MOC = MOD. A
a) Is OC = OD ? Justify. ·
b) Is OA =OB? Give reasons.
Pakistan 
11 
23. a) Roshini bought a T.V set for Rs 12500. After two years she sold it at 6%
profit. Find the selling price of the T.V. 
b) Population of a city decreased from 30000 to 28500. Find the percentage
decrease.
(3+3) 
D 
24. a) Express the following as product of powers of their prime factors in
exponential form: 
216 X 
3
24 
b) Using laws of exponents simplify and write the answer in exponential form.
12 
3 
X 
3
3 
X8
6
2 
X 9 
(
3
+
3
) 
25. Two cross roads, each of width 2m, cut at right angles through the centre of a
rectangular park of length 150m and breadth 125m and parallel to its sides.
Find the area of the roads. Also find the area of the park excluding cross
roads.
OR 
Find the area of shaded portion in the following figure. 
A 
lbC/YY) 
13 
2 (/V'() 
g
H 
r-. 
0 
D 
/ 4 Clvv-> &ex<> 
C 
***