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Mathematics Question Paper
Class VII- Final Exam – Model Question paper 1
Subject: Mathematics
Time: 3 Hours
Full Marks: 80
Pass Marks: 40
Answer all the questions
Group A [1 X 10 = 10]
Mark the correct alternative in each of the following.
1.
2.
3.
4.
5.
If A is the set of even numbers from 1 to 13, what is the cardinality of the set A?
(a)13
(b) 6
(c)1
(d) 14
The place value of 6 in 3689 is
(a) one
(b) ten
(c) hundred
(d) six
From the following fractions, choose two fractions which are like.
2
2
5
4
(a)
(b)
(c)
(d)
5
7
2
5
3
2
What is the sum of +
8
8
5
6
6
5
(a)
(b)
(c)
(d)
16
16
64
8
Which one of the following is not a factor of 12:
(a) 3
(b) 4
(c) 5
(d) 6
6. Which of the following numbers is a multiple of 8?
a)0
(b) 9
(c) 7
(d) 16
7. What is the square of
2
?
5
4
4
(b)
10
25
8. If x = 2, what will be the value of 2x2?
(a) 2
(b) 4
(c) 6
(a)
9. What is 3.4568 x 100?
(a) 34.568
(b) 345.68
(c)
2
5
(d)
2
25
(d) 8
(c)0.034568
(d) 34568
10. If A = {1, 2, 3, 4, 5} and B = {4, 5}, the set B is ....................................
(a) a proper subset of A
(b) an improper subset of A
(c) disjoint to A
(d) an infinite set
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Mathematics Question Paper
Group B [(3+3) X 5 = 30]
11. a. If A = { 1, 2, 3, 4, 5, 6} and B = {5, 6, 7, 8}, find A u B in Venn diagram.
b. Find the HCF of 60, and 90.
4
5
12. a. Test whether and are equivalent fractions
7
8
8
b. What is
of Rs 220?
11
13. a. Express 1.3 as a fraction.
b. Simplify: 23.67 + 34 – 12.768
14. a. Find the square root of 21028
b. If the cost of 7 books is Rs 210, find the cost of 12 such books.
15. a. Find the product of (2x + 3) and (3x -4)
b. Factorize: x2 + xy + xz + yz
a 3b 2c4
a 5 b 3c 4
16. a. Simplify:
÷
.
8 x 3 y 2 8x 5 y 3 z 2
4
5
2
b. Simplify:
 
9
6
3
17. a Define complementary angles with an example
and a well labelled drawing.
b. From the adjoining figure, calculate the value of
x. And hence, find the values of unknown angles
Group C [5 x 8 = 40]
18. Find the HCF and LCM of 2x2y – 6xy2 and x2 – 9y2
a 3b 2c4
a 5 b 3c 4
19. Simplify:
÷
.x
8 x 3 y 2 8x 5 y 3 z 2
4
5 2
2
 1  of 2
20. Simplify:
9
6 3
3
22. If U = {a, b, c, d, e, f, g, h, i, j, k}, A = {a, b, c, d, e}, B = {d, e, f, g, h, i}, draw Venn diagram to show
the relationship among the sets. Hence, write the set (AUB) in listing method.
23. Convert 110012 into decimal numeral and then convert the base 10 numeral into quinary numeral.
24. From the adjoining figure, calculate the
values of unknown angles.
25. Construct a triangle ABC in which AB = 5cm, BC =
6cm and angle B = 50°
z
The End
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