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SHINING STAR SECONDARY BOARDING SCHOOL<br />
Lakeside- 6, Pokhara<br />
Annual Virtual Examination- 2077/78<br />
Class: 8 F.M.= 75<br />
Sub: <strong>Maths</strong> Time: 2 hours 15min P.M.= 30<br />
Group: A [5x1=5]<br />
1. (a) How much area will a circle with radius ‘r’ occupy ?<br />
(b) What is the value of x, when 2 ! = 1 ?<br />
2. (a) Solve : x − 3 ≥ 5<br />
(b) Find the range from the following data: 10, 12, 9, 8, 15, 20, 22,<br />
(c) Write down 0.00035 in scientific notation .<br />
Group: B [10x2=20]<br />
3. (a) Find the value of x and y :<br />
(b) Find the interior angle of regular pentagon<br />
(c) If the distance between the points (2, 0 ) and (8, k ) is 10 units . Find the value of k .<br />
4. (a) If A = {c, a, t} and B = {m, a, t}, find A ∩ B and show it in a venn diagram.<br />
(b) Simplify : 5√7 − 2√28 + √63<br />
(c) How much does A get if Rs 750 is divided to A and B in the ratio of 2:3 ?<br />
5. (a) If the given data is in ascending order and the median is 70, find the value of x :<br />
50, 60, "!#$<br />
, 80, 90<br />
%<br />
(b) Find the median from the following data: 50, 80, 30, 60, 40, 70, 20<br />
6. (a) Factorize : m % + 24x − 24<br />
(b) Solve: !! "#<br />
= 5<br />
$<br />
7. Find the value of x and y:<br />
Group: C [10x4=40]<br />
8. In a survey of 100 people it was found that 65 liked folk songs, 55 liked modern songs and 35 liked<br />
both songs.<br />
i) Draw a Venn- diagram to illustrate the information.<br />
ii) How many people did not like both songs?
9. Construct a regular hexagon having a side 6cm by calculating its interior angle.<br />
10. The ratio of length, breadth and height of a cuboid is 3:2:1, if the volume of the cuboid is 48 m 3 , find<br />
the base area of the cuboid.<br />
11. Draw a triangle ABC with vertices A(6, 6), B(3, 4)and C(6, 2) on a graph paper and reflect it on<br />
x-axis. Also shade the image so formed and write down the co-ordinates of the vertices.<br />
12. If x + & ! = 4, then find the value of (i) x! + " # ' (ii) x( + 1 x 4<br />
13. 15 men can do a piece of work in 80 days. How many days before the work will be<br />
completed if 10 men are added ?<br />
14. Find the value of y, z, p and q:<br />
15. If the interest of Rs 4000 in 5 years is Rs 2400, what is the interest of Rs 5000 in 3 years at the same<br />
rate of interest ?<br />
16. Find the arithmetic mean of given data.<br />
Obtained<br />
marks<br />
No. of<br />
students<br />
15 25 30 40 45 50<br />
3 8 5 6 4 2<br />
Group:D [2x5=10]<br />
17. Find the volume of the combined solid :<br />
18. A bought 50 glasses for Rs 1500. Out of which 10 were broken. If he sold the rest of the glasses at<br />
Rs 40 each, how much profit or loss percentage did he bear ?
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