Page 370 - Start Up Mathematics_8 (Non CCE)

Section B

Question number 11 to 17 carry 2 marks each.
11. Find the rate of discount given on a book whose selling price is ` 315 after deducting a discount of ` 210
on its marked price.
12. A scooter was bought at ` 42,000. Its value depreciated at the rate of 8% per annum. Find its value after
1 year.
13. Draw nets for (a) triangular prism and (b) tetrahedron.
14. The area of a trapezium is 720 cm . If the parallel sides are 7 cm and 13 cm long, find the distance
2
between them.
OR
The area of a rhombus is 252 cm . If one of its diagonals measures 18 cm, find the length of the other
2
diagonal.
15. A rectangular sheet of aluminium foil is 44 cm long and 22 cm wide. A cylinder is made out of it by rolling
the foil along its length. Find the total surface area of the cylinder.
OR
The paint in a certain container is sufficient to paint an area equal to 9.375 m . How many bricks of
2
dimensions 22.5 cm × 10 cm × 7.5 cm can be painted out of this container?
16. The pulse rate (per min) of 30 persons was recorded as given below:
61, 76, 72, 73, 71, 66, 78, 73, 68, 81, 78, 63, 72, 75, 80, 68, 75, 62, 71, 81, 73, 60, 79, 72, 73, 74, 71, 64,
76, 71
Construct a frequency table using class intervals of equal width, one class interval being 60–65.
17. The following table shows the sales of a commodity during the years 2004–2009:

Years 2004 2005 2006 2007 2008 2009
Sales (in lakh of `) 1.6 1.8 2.2 3.4 5.2 6.8
Draw a graph to represent the above data.

Section C
Question number 18 to 21 carry 3 marks each.

18. In the given figure, CLUB is a parallelogram. Find the B U
measures of the angles x, y and z. x y

19. A square of side 4 cm is inscribed in a circle as shown 35° 55°
z
in the figure. Find the area of the shaded portion. C L T
(Use π = 3.14 and 2 = 1.41) T 4 cm A
20. Solve the following: r
2 A B O
+ A B 1 S
B 1 8 K
21. The following table shows the subjects preferred by 300 students of a school during a survey. Represent
it by a pie chart.
Moral Social
Subjects Maths Science English Science Science Total

Number of students 75 60 90 40 35 300

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