IMO Level 2 Mock Test 2 Class 8
CLASS
8
Total-Question:50
Time:60.0 Mins
PATTERN & MARKING SCHEME
Section
(1) Mathematics (2) Achievers' Section
No. of Questions
45
5
Marks per Ques.
1
3
Mathematics
er
Q 1.
Tr
a
in
Simplify:
pi
ad
A
ly
m
B
O
C
Q 2.
Solve :
A
B
C
D
Q 3.
SO
F
D
The sum of the interior angles of a polygon is 1440°. Find the number of sides of the
polygon.
A 14
B 12
C 10
D 5
Q 4.
The value of
er
is _____.
Tr
a
in
A
B
pi
ad
C
ly
m
D
O
Q 5.
SO
F
Find the difference between 0.00000426 and 0.000000346.
A 5.041 × 10 -6
B 2.456 × 10 -7
C 3.914 × 10 -6
D 4.216 × 10 -5
Q 6.
The total age of A and B is 12 years more than the total age of B and C. C is how many
years younger than A?
A 12 years
B 24 years
C Data inadequate
D None of these
Q 7.
How many non-perfect square numbers are there between 19 2 and 20 2 ?
A 34
B 36
C 38
D 40
in
er
Q 8.
Tr
a
Which of the following numbers when multiplied by itself gives 3158.44?
A 56.2
ad
B 55.4
pi
C 58.2
ly
m
D 59.8
O
Q 9.
SO
F
The steps of construction of a quadrilateral ABCD are given below in which AB = 8 cm,
AD = 5 cm, ∠A = 45°, ∠B = 105° and ∠D = 120°. Which of the following is incorrect step?
Step-I : Draw AB = 8 cm.
Step-II : Draw ∠BAY = 45° at A.
Step-III : Draw ∠ABN = 105° at B.
Step-IV : With A as a centre and radius 5 cm draw an arc to cut AY at C.
Step-V : Draw ∠ADM = 120° at D such that its arm DM cuts BN at C.
A Step-II
B Step-III
C Step-IV
D Step-V
Q 10.
If 2 men each working 5 hours per day can finish a job in 12 days, then how long will 4
men each working 2 hours per day take to finish the same job?
A 14 days
B 15 days
C 10 days
D 18 days
Q 11.
If x varies inversely as y 3 and x is 16 when y is 5, then find x when y is 2.
A 250
B 225
er
C 450
Tr
a
in
D 550
Q 12.
pi
ad
If A's expenditure is 20% more than B's expenditure and B's expenditure is 30% less than
C's expenditure, then by what percentage A's expenditure is less than C's expenditure?
ly
m
A 16%
O
B 12%
Q 13.
SO
D 18%
F
C 14%
If S.P. of an article is
______.
A
B
C 25%
D
of its C.P., then the profit percentage in the transaction is
Q 14.
If
=4, then
= _____ .
A
B
C
D
Q 15.
in
er
A bag contains 6 black, 8 yellow, 4 red and 5 white balls. A ball is drawn at random.
What is the probability that the drawn ball is not of red colour?
Tr
a
A 19/21
B 19/23
ad
C 4/23
ly
m
pi
D 14/23
Q 16.
A 1000 m
SO
F
O
A train of length 600 m moving with the speed 144 km/hr crosses another train moving in
opposite direction at the speed 240 km/hr in 15 seconds. Find the length of the second
train.
B 700 m
C 900 m
D 1200 m
Q 17.
The largest possible circle is cut out from a square cardboard. What percent of the
cardboard will be left?
A 21.428%
B 22.422%
C 20.431%
D 23.404%
Q 18.
In a fraction, numerator is 2 more than denominator. If we multiply the fraction by
then we get 40/9. What is the fraction?
A 5/3
B 11/3
er
C 11/9
Tr
a
in
D 15/13
Q 19.
ly
m
pi
ad
Find the missing values of A, B, C and D respectively.
O
A 8, 2, 3, 4
D 2, 8, 3, 4
SO
C 2, 4, 8, 3
F
B 2, 8, 4, 3
Q 20.
The price of a refrigerator is 5 times that of the price of a cooler. If the price of the
refrigerator is increased by 20% and the price of the cooler is decreased by 40%, then
what is the change in the total price of the refrigerator and cooler?
A 40%
B 30%
C 20%
D 10%
Q 21.
In a class, 3/5 of the total number of students are girls and rest are boys. If 2/9 of the
girls and 1/4 of the boys are absent, then what fraction of the total number of students is
absent?
A
B
C
D
er
Q 22.
SO
F
O
ly
m
pi
ad
Tr
a
in
The given line graph shows the number of bicycles sold in whole week. Find the ratio of
the number of bicycles sold on Monday and Tuesday to the average number of bicycles
sold in whole week.
A 5 : 7
B 4 : 5
C 7 : 5
D 5 : 4
Q 23.
In the given figure, if ABCD is a rectangle, then find the area of the shaded region.
A 72 cm 2
B 52.5 cm 2
C 54.5 cm 2
er
D 45.4 cm 2
in
Q 24.
The value of
Tr
a
then the value of z is _______.
ad
A 5
pi
B 4
ly
m
C 10
O
D 20
SO
F
Q 25.
Find the divisor, if the dividend is 2200, remainder is 14 less than the divisor and the
divisor is one-third of the quotient.
A 25
B 27
C 24
D None of these
Q 26.
By selling an article, a person made a loss of
If he would sell the article at ₹ 6
more, then he would have made a profit of 5%. Find the cost price of the article.
A ₹ 80
B ₹ 100
C ₹ 150
D ₹ 180
Q 27.
If a sum of ₹ 200 becomes ₹ 216 at the rate of 4% p.a. simple interest in T years, then
find the difference between the compound interest and the simple interest in T years.
A ₹ 3
B ₹ 0.32
er
C ₹ 2.16
Tr
a
in
D ₹ 1.12
Q 28.
pi
ad
If the diagonal of a square is 'a' units, then the area of the square is ______ square
units.
ly
m
A
D
SO
C
F
O
B
Q 29.
If 5 (x - y) = 125 and 343 = y 3 , then the value of x is ______.
A 3
B 10
C 7
D 5
Q 30.
If S.P. of an article is ₹ x, C.P. of the article is ₹ y and profit is 20%, then
=
________.
A
B
C
D
Q 31.
ad
Tr
a
in
er
Find the number of vertices, edges and faces of the given figure respectively.
pi
A 10, 15, 7
ly
m
B 8, 12, 7
O
C 10, 16, 4
Q 32.
SO
F
D 6, 9, 15
Simplify :
A
B
C
D
Q 33.
What least number must be subtracted from each of the numbers 14, 17, 34 and 42, so
that the remainders will be in proportion?
A 3
B 5
C 4
D 2
Q 34.
If
then find the value of x.
A 11/14
er
B
in
C 12
Tr
a
D 11/12
ad
Q 35.
ly
m
pi
Three numbers are in the ratio of 3 : 4 : 5. The sum of their cubes is 74088. The
numbers are _____.
A 12, 16, 20
D 18, 24, 30
F
SO
C 15, 20, 25
O
B 21, 28, 35
Q 36.
The cube root of 1372 × (-1458) is ______.
A 126
B -126
C 136
D -136
Q 37.
The number of persons varies _________ with the number of days required to consume a
given quantity of food.
A Directly
B Inversely
C Data inadequate
D None of these
Q 38.
Twice the area of lateral surface of a cylinder is equal to four times the sum of area of its
bases. If its radius is 14 cm, then find its volume.
er
A 18624 cm 3
in
B 15456 cm 3
Tr
a
C 17248 cm 3
ad
D 15545 cm 3
pi
Q 39.
ly
m
If x : y = 2 : 5, then (10x + 3y) : (5x + 2y) is _____.
O
A 5 : 4
D 13 : 7
SO
C 5 : 2
F
B 7 : 4
Q 40.
The simple interest on a certain sum of money for 2 years at 13% p.a. is ₹ 2028. What
will be the compound interest on ten times the same sum at 5% p.a. compound interest
for the same period?
A ₹ 7985
B ₹ 9795
C ₹ 7995
D ₹ 7800
Q 41.
If 'n' is a perfect cube, then every prime factor of 'n' occurs
A 1 time
B 2 times
C 3 times
D 4 times
er
Q 42.
Tr
a
in
A x
B xa + b + c
ad
C 0
pi
D 1
ly
m
Q 43.
SO
F
O
If ABCD is a parallelogram, then the values of x, y and z respectively are _____.
A 56°, 30° and 72°
B 56°, 28° and 74°
C 28°, 72° and 58°
D 56°, 28° and 72°
Q 44.
Find the value of
A 341/12
B -341/12
C 341/6
D -341/6
Q 45.
Which of the following statements is incorrect?
A A line graph displays data that changes continuously over periods of time.
B A pie graph can not be use to compare parts of a whole.
er
C A histogram is a bar graph that shows data in intervals.
in
D A bar graph is used to show comparison among categories.
Tr
a
Achievers' Section
ad
Q 46.
O
ly
m
pi
Fill in the blanks.
(i) Prime numbers differing by __(P)__ are called twin primes.
(ii) The number of prime numbers between 0 and 4 is __(Q)__.
(iii) The greatest common factor of relatively prime numbers is __(R)__.
(iv) Least common multiple of first two prime numbers is __(S)__.
C
SO
B
F
A
D
Q 47.
Select the correct option.
A
B
C
D
Q 48.
in
er
Match the following.
Tr
a
A
B
ad
C
ly
m
pi
D
Q 49.
SO
F
O
Read the following statements carefully and select the correct option.
Statement - I : If three metallic cubes with sides 3 cm, 4 cm and 5 cm are melted to form
a new cube, then the total surface area of the new cube is 216 cm 2 .
Statement-II : The area of a trapezium is 3936 cm 2 and the length of one of its parallel
sides is 72 cm and its height is 48 cm. The length of the other parallel side is 92 cm.
A Both Statement-I and Statement-II are true.
B Both Statement-I and Statement-II are false.
C Statement-I is true but Statement-II is false.
D Statement-I is false but Statement-II is true.
Q 50.
In the given figure, PQRS is a rectangle. Diagonals PR and QS intersect at O such that
∠POQ = 60°. ΔSRM is an isosceles triangle with SR = RM and ∠RMS = 30°. Find the
value of angles e, g, h and j respectively.
A 30°, 30°, 90°, 30°
B 30°, 90°, 60°, 30°
C 30°, 30°, 30°, 90°
Tr
a
in
er
D 90°, 30°, 30°, 30°
Answers
Achievers' Section
49.A
50.B
O
48.D
F
47.D
SO
46.B
8.A
22.C
35.B
9.C
10.B
11.A
12.A
13.C
14.A
15.B
23.C
24.A
25.B
26.A
27.B
28.C
36.B
37.B
38.C
39.B
40.C
41.C
pi
7.C
21.B
34.B
ly
m
2.D
3.C
4.D
5.C
6.A
17.A
18.A
19.D
20.D
30.C
31.A
32.C
33.D
43.D
44.B
45.B
ad
Mathematics
1.B
16.A
29.B
42.D