Class: VII                                                                      Max.
Mark: 60
Subject: Maths                                                                  Duration: 2 ½ hours
                                          Instructions
Answer all questions.
Section A : Q No. 1 to 8 are of multiple Choice type and carry 1 mark each.
Section B : Q No. 9 to 14 are short answer type and carry 2 marks each.
Section C : Q No.15 to 22 are short answer type and carry 3 marks each.
Section D : Q No. 23 to 26 are long answer type and carry 4 marks each.
                                           Section A
1. If ∆ART     ∆PEN, then RT =        and ∠A =
(a) EN, ∠P           (b) ∠P , EN        (c) PE, ∠T             (d) PN, ∠N
2. Which of the following English alphabet has reflectional symmetry about a
vertical mirror?
(a) B                (b) D              (c) V          (d) E
3. The ratio of 3km to 300m is
(a) 1 : 10           (b) 10 : 1         (c) 3 : 100            (d) 100 : 3
4. The product of a rational number with its reciprocal is always
(a) 0                 (b) infinite      (c) 1                  (d) None
5. Which of the following is a binomial?
(a) 3x2y             (b) 2 + x          (c) 5x +6y - 3                  (d) 7 mn
6. In     ABC, height AD = 3 cm. Its area is 9 cm2.             A
        Then, its base BC is
                                             B                                   C
(a) 6 cm.            (b) 9 cm.          (c) 12 cm.             D
                                                                        (d) 3 cm.
7. The value of ( 30 + 20 ) x 50 is
(a) 1                (b) 25             (c) 0                           (d) 2
8. When a ball is cut horizontally, its cross section is a          .
a) Square            (b) Rectangle               (c) Circle             (d) Triangle
                                             Section B
  9. Express 1000 as product of powers of its prime factors.
10. Find the whole quantity, if 40% of it is 500km.
11. Find the value of:
12. Draw 2 plane figures with more than one line of symmetry.
13. Find the Simple Interest on Rs.5000 for 3 years at the rate of 10% per annum.
                                          (Or)
      The cost price of a bag is Rs. 350. It is sold for a profit of Rs. 35. Find the profit
percent.
14. Draw an oblique sketch of a cuboid.
                                             Section C                             P
15. In figure given PQ = PR and PS is the bisector of <QPR.
(i) State three pairs of equal parts in Triangles PSQ and PSR
(ii) Is   PSQ     PSR                                              Q                           R
                                                                             S
16. The perimeter of a rectangular sheet is 100 cm. If the length is 35cm, find its breadth.
Also find its area.
17. Arrange the following rational numbers in ascending order:
                                                                            ,      ,
18. A gardener wants to fence a circular garden of diameter 21m. Find the length of the
wire he needs to purchase and cost of it at the rate of Rs.4 per metre.
                               (Or)
Amit runs around a rectangular park which is 120m long and 80 m wide. Find the distance
he covers in 3 rounds.
19. Simplify the expression 2(a2 + ab) – ab       and find its value if a = 5 and b = 2.
20. Simplify:                         .
21. Write the Oder of Rotation and angle of symmetry of (a) Square (b) Rectangle and (c)
Equilateral Triangle.
                                                              Top
22. Draw the Top, Side and Front view of the solid:
                                                                                 Side
                                           Front
                                       Section D
23. Explain why ABC FED?
24. Selling price of a toy car is Rs. 480. If the profit made by shopkeeper is 20%, what is its
cost price?
                                   ( Or )
The population of a city decreased from 25,000 to 24,500. Find the percentage of decrease.
25. A rectangular park is 45m long and 30m wide. A 2.5m wide path is constructed outside
the park. Find the area of the path.
26. From the sum of 4 + 3x and 5 – 4x + 2x2 , subtract the sum of
      3x2 – 5x and –x2 + 2x + 5
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