class 8 math sample paper
Mathematics
Class 8
(1)
Find the correct answer
Find a natural number such that twice of
its square added to itself gives 10?
(a)
8
(b) 4 (c)
2 (d) 10
(2)
If you subtract a number ‘A’ from 48 times that
number ,then take the square of the difference, what will the result be?
(a)
2133 A2 (b) 2209 A2 (c) 2116 A2 (d) 2412A2
(3)
What is the sum of dots lies opposite to the
face having three dots and two dots, when the given figure is folded to form a
cube ?
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(a)
11
(b) 8 (c)
6 (d) 7
(4)
How many perfect numbers lie between 1 to 600?
(a)
3
(b) 8 (c)
4 (d) 11
(5)
If p, q, r, s stands for addition, subtraction,
multiplication and division respectively ,then the value of 12 s 4 r 7 p 24 q
11 is
(a) 34
(b) 6 ( c) 21 (d) 45
(6) if semi perimeter of a right angled
triangle is three times its smallest side then the three sides of this triangle
are in the ratio of
(a) 15: 5 :
12 (b) 18 : 12: 5
(c) 12 : 5 :
13 (d) 13 :
5 : 10
(7) the smallest natural number by which 352
must be multiplied to obtain a perfect square is
(a) 2 (b) 12
(c) 22 (d) 13
(8) Rahul ranked 8th from the top
and 37th from the bottom in a class. How many students are there in
the class ?
(a ) 42 (b)
44 (c) 46 (d)
47
(9) the value of
{P+1/Q}m {P-1/Q}m /
{Q+1/P}m {Q-1/P}m is
(a) P/Q (b) [P/Q]m (c)
[P/Q ]2m (d) [Q/P]2m
(10) if [a-1 b2 /a3 b-2 } 
[a6b-3/a-2b3] = apbq then the value of p+q where p$q are
different positive primes is
(a)-2 (b) 1 (c)
0 (d) -1
(11) at the time of
sunset, Rahul and Ritwik are sitting facing each other. If the shadow of Rahul
falls to the right of Ritwik ,in which direction is Ritwik facing?
(a) south (b) east
(c) north (d)
west
(12) find out the
correct option for unsolved equation based on the pattern
2 3 5 *
4 * = 620
2 * 4 * 3
* 5 * = 815
2 * 2
*4 *4 * = ?
(a)
42 (b)
235 (c) 304
(d) 416
(13) which one of the
following must be placed in 2nd position if they are arranged in
increasing order?
(a) 
(b)
(c)
(d)
8/2
(14) a dice is roll
on 30 times. How many times do you expect the number ‘5’ to come up?
(a) 6 times (b) 24 times
(c) 5 times (d) 12 times
(15) what must be subtracted from 14p2 +13p -15 so that the resulting polynomial is
exactly divisible by 7p-4 ?
(a) 3 (b) -3
(c) 5
(d) -5
(16) two pipes P and Q can fill a tank in 16 minutes and 20
minutes respectively. Both the pipes are opened together but after 8 minutes,
pipe A is turned off. What is the total time required to fill the tank?
(a) 10 min.20 sec
(b) 2 min. (c) 12 min. 30
sec. (d) 10 min.
(17) Harbal tea worth Rs 135/kg and Rs 126/kg are mixed with
a third variety in the ratio 1: 1:2. If the mixture is worth Rs.153 per kg. the
price of the third variety per kg will be ----
(a) Rs.169.50
(b) Rs. 170.00 (c) Rs. 175.50 (d) Rs.180
(18) P,Q and R can
do a piece of work in 30 days,24 days and 40 days respectively.They began the
work together but R left 4 days before the completion of the work. In how many
days was the work completed?
(a) 111 days (b)
12 days (c) 73 days (d) 14 days
(19) A’s efficiency is twice that of B.if B can complete a
work in 18 days independently,the number of days in which A and B can together
finish the work is:
(a) 4 days (b) 6
days (c) 8 days (d)
10 days
(20) A cuboidal block
9cm by 15 cm is cut up into an exact number of equal cubes. Find the least
possible number of cubes?
(a) 124 (b) 120 (c)
40 (d) 24
(21) the sum of ages of 4 students born at the interval of 4
years each is 60. What is he age of eldest one?
(a) 20years (b) 21 years
(c) 10 years (d) 9 years
(22) two pipes A and B can fill a tank in 12 minutes and 15
minutes respectively. If both the tapes are opened simultaneously and the tap A
is closed after 3 minutes,then how much more time will it take to fill the tank
by tap B?
(a) 7 min 15 sec
(b) 7 min 45 sec (c)
8 min 5 sec (d) 8 min 15 sec
(23) a container is filled with liquid, 4 parts of which is
tonic water and 6 parts syrup .
How much of the mixture must be drawn off and replaced with
tonic water so that the mixture may be half tonic water and half syrup?
(a)
1/3
(b) 1/4 (c) 1/6
(d) 1/7
(24 )
A’s efficiency is more than B.A and B each walk 24 km. the sum of their
speeds is 7 km/hr and the sum of times taken by them Is 14 hours. Find the
speed of A?
(a) 3 km/hr (b) 4 km/hr (c) 5 km/hr (d) 7 km/hr
(25) A bag contains 50 P,25P and 10 P coins in the ratio 5:9:4, amounting to Rs.206.find the number of coins of each type.
(a) 360,160,200 (b)
160,360,200 (c) 200,360,160 (d)
200,160,300
(26) in the given figure AB II CD, ∠PQR =98, ∠ RQB=x0 , ∠ AQP=y0 and ∠ RQB is half of angle ∠ AqP then ∠ STD: ∠STC is
(27) A fraction which bears the same ratio to 1/24 that 3/11 does to 5/8 to equal to
(a) 1/55 (b) 1/11
(c) 3/11 (d)
55
(28) in a 120 L mixture of orange
juice and water , the ratio of orange juice to water is 2:1. How many litre of
water is to be added to this,to make this ratio 1:2 in the new mixture?
(a) 80 (b) 40
(c) 120 (d)
20
(29) henry sold two flats for Rs
675958 each. Onone he gains 16% while on the other he loses 16%. How much
percentage does he gain or lose in the whole transaction?
(a) 3.28% (b) 2.56%
(c) 1.29 % (d) 2.98%
(30) 8 girls or 12 boys complete a work in 25 days ,6 girls and 11 boys
together can complete the work in
( a) 15 days (b) 12 days (c) 16 days (d) 18 days
(31) A river runs at 2km/hr. if a man takes twice as long to row up the
river as to row down, the speed of the man in still water is
(a) 8km/hr (b) 5 km/hr
(c) 9km/hr (d) 6 km/hr
(33) if the ara of a square is same as the area of a
circle ,then the ratio of their perimeter is
(a) 22:7 3 (b)
7:11 (c) 22: 7 2
(d) 2 7:
22
(34) A football team won 40% of the total number of
matches if played during a year. If it lost 50% of the matches played and 20
matches were drawn. Find the total number of matches played by the team during
the year.
(a) 200
(b) 100 (c)
150 (d) 50
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