Page 167 - Maths Skills - 7

Assessment - 3 165

Read the paragraph carefully and answer the following questions.
16. What are the measurements of the sides of an isosceles triangle?

17. What is the area of the isosceles triangle given in fig. If its altitude is 12 cm. 80 cm 80 cm
18. Find the cost of painting of the triangle at the rate ` 18.25 per sq m.
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Assertion-Reason Based Questions 40 cm
Directions for Questions 19 to 20: Each question consists of two statements of the questions given below,
there are two statements marked as Assertion (A) and Reason (R).mark your answer as per the code provide
below:
(a) Both A and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false. (d) A is false but R is true.

19. Assertion (A) : The sum of measure of two angles is 180° the angles are called supplementary
angles.
Reason (R) : To obtuse angles be supplementary each other.
20. Assertion (A) : Assertion (A) An algebraic expression containing there term is called trinomial.

Reason (R) : 3x + 2x + 1 is a trinomial.
2
SUBJECTIVE BASED QUESTIONS
21. Through rectangular field of length 80 m and breadth 50 m, two roads of width 3 m are constructed
parallel to the sides of the rectangular field which cut each other at right angles through the centre
of the field. Find:
(a) area of the roads

(b) cost of leaving the roads at the rate of ` 15 per m .
2
22. If A = 3x – 7x – 8 , B = x + 8x – 3 and c = 6x + 2
2
2
Then solve the expression A – B + C and also the value of the expression obtained for x = 2.
23. A wire is in the form of a circle of radius 21 cm. It is bent into a square. Determine the sides of the
square.
B
24. What should be added to a + 2ab – b – 10ab to get 4ab – 6b a + 7b .
2
2
2
2
2
25. Find the area of a quadrilateral ABCD as given along side in the given figure A M N C
AC = 11 m, BM = 1.5M, DN = 1.5 M.
E D

26. Find the value of missing angle x in the figure given along side. D
30° x° 25°
A B C

27. A window of length 23 m and width 2 m is fitted in a wall whose length is 6 m and width is 5 m find
the cost of white washing the wall @ ` 25/m .
2
28. If the dimensions of conference hall are 40 m long 30 m wide and 35 m high, then find the cost of
white washing the four walls at the rate ` 2.50 per m .
2