Mathematics Test Papers For
MTSE / IPM / IMO
Standard – 4 Paper
number: 001
Time: 90 minutes
1.
Reduce the fraction 65/117 to its lowest form.
A)
5/17 B)
5/9 C) 12/17 D) 6/11
2. 39/42 = ɸ/98 . Find ɸ
A)
97 B)
91 C) 101 D) 85
3.
Multiply the given decimals: 0.4 x 0.04 x 0.004
A)
.00064 B)
0.000064 C) 0.00016 D) 0.64
4.
If 3/7
= (p+4)/35 . Then find “P”.
A)
11 B)
7 C) 15 D) 20
5.
If 28*9 is completely divisible by 11, then find the
value of *.
A) 9 B) 4 C)
5 D) 7
6.
What should be subtracted from 29237 so that the
reminder is completely divisible by 8?
A) 5 B) 1 C)
7 D) 3
7.
How many milligrams make a Decagram?
A) 1000 B)
100 C) 10000 D) 100000
8.
How many prime factors do 84 have?
A) 1 B)
2 C) 4 D) 3
9.
ɸ/3 + ɸ/2 = 10. Find the value of ɸ.
A) 10 B) 12 C) 14 D) 16
10.
Find the 6th Term of the series 24,
39, 53, 66,......., ........
A) 89 B)
86 C) 78 D) 79
11.
What is the angle between the hour and the
minute arm at 12:15 pm.
A) 90 B)
82.5 C) 105 D) 75
12.
Which of the results can be possible outcome of
(**6) x (**8) ?
A) 9848 B)
11448 C) 7760008 D) 204586
13.
In the diagram shown all the circles are
identical. The radius of the circle is 4 cm. Find the perimeter of the
rectangle.
A) 98 B)
96 C)
94 D) 112
14.
How many times “a” is contained in “b”?
A) b/a B)
a/b C) a x b D) b-a
15.
Find the smallest Fraction from the following:
A) 10 /17 B) 9/19 C)
11/21 D) 17/33
16.
Find the largest number which divides 81, 54
& 135.
A) 27 B)
54 C) 9 D) 81
17.
2 /3
of a number is 60. What is the number?
A) 90 B)
40 C) 85 D) 70
18.
Find out the proportional 51/57 in which
the denominator is 38?
A) 17/38 B) 71/38 C)
15/38 D)
34/38
19. The product of two numbers is 98. The HCF of
the number is 7. What is the LCM?
A) 14 B)
28 C) 98 D) 7
20.
(p+4)/12 + 5 =7. Then find “ p”.
A) 14 B)
20 C) 24 D) 12
21. 17 years ago the age of Arun was 7 years,
what will be his age 15 years hence?
A) 42 years B) 28 years C)
35 years D) 39
years
22. The product of which two numbers from the
following would be a perfect Square?
A) 12x13 B) 28x7 C) 15x12 D) 25x12
23. The sum of 2
numbers is 7. The sum of squares of the 2 numbers is 25. What are the numbers?
A) 2,5 B)
3,4 C) 6,1 D) 7,0
24. Find the value of 1 /5 of
1 /4 of 100?
A) 4 B)
5 C) 20 D) 25
25. The highest 2 digit prime number when
subtracted from the cube of the only even prime
number, will give .................
A) 87 B)
89 C) 94 D) 91
26. Nanu has Rs 1000/- in her purse. She shops
for Rs 350/-, donates Rs 125/- to an orphanage and
wins a lottery of Rs 500/-. What is
left in her purse?
A)
Rs 975 B)
Rs 725 C)
Rs 875 D) Rs
1025
27. Divide 90 into 2 parts such that one part is
double of the other?
A) 30,60 B) 25, 75 C)
45,45 D) 35,70
28. Express 1 /125 into Decimals?
A) 0.008 B)
0.08 C) 0.0125 D) 0.125
29. 3 toys and 4 books cost Rs 72/-. What will be
the cost of 9 toys and 12 books?
A) Rs 216/- B) Rs 144/- C)
Rs 256/- D) Rs
300/-
30. Find the sum of even numbers between 70 to
90.
A) 650 B)
720 C) 960 D) 625
31. Add 25000 metres, 4500 millimetres, 725
decimetres and 460 centimetres in kilometres?
A) 25.0816 km B)
29.178 km C) 35.245
km D) 33.546 Km
32. Solve 5÷5+5x5-5+5
A) 6 B)
26 C) 25 D) 27
33. How many 4 digit numbers are possible using
the following numbers 0, 4, 3, 5?
A) 24 B)
18 C) 12 D) 6
34. Divide the sum of Rs 150 into 2 parts such
that Nanu gets 1
/3 more than
the other? How much
did Nanu get?
A) 120 B)
60 C) 100 D) 75
35. The jug of is 1/5th empty. 6
litres of water are added to make it full. How much water does the
jug hold.
A)
20 litres B) 60 litres C) 7.5 litre D) 30 litres
36. Which 3 digit number is a square of a certain
number and also a cube of a certain number.
A)
441 B) 625 C) 729 D) 676
37.
24 apples cost as much as 8 water melons, 4 water melons is same as 6 dozen
bananas. How
many apples will make 2 dozen bananas?
A) 4 B)
6 C) 7 D) 12
38.
12 points lie on the circumference of a circle. How many chords can be drawn?
A) 66 B)
45 C) 125 D) 72
39.
The minimum number of digits of the outcome --(**6) x (**8) is .....................
A) 6 B)
4 C) 5 D) 7
40. What is the greatest 2 digit number that is
divisible by both 6 and 9
A) 63 B)
81 C) 99 D) 90
41. 5 /7th part of children in a school is boys.
If the number of girls in the school is 350, what is the
number of boys?
A) 175 B)
875 C) 1225 D) 900
42. Find the value of a x b ÷ c,
where a= 1 /3 , b= 1 /2 , c=1
/4
A) 2/3 B)
1 /6 C) 2 /6 D)
3 /2
43. Find the 23rd odd number coming
after 27?
A) 51 B)
73 C) 47 D) 71
44. To a given number 5 is added and the result is
divided by 5 to get 7. Find the number?
A) 25 B)
30 C) 7 D) 20
45. Write 1550 in Roman numerals?
A) MD B)
LDM C) MDC D) MDL
46. What is the smallest number that should be
added to 275 to make it a perfect square?
A) 12 B)
25 C) 14 D) 16
47. The product of 2 numbers is 360. If one of
the number is doubled and the other is halved the
new product with be:
A) 360 B)
180 C) 720 D) 90
48. Solve: (19 + 3 x 2 ) ÷ 5 + 4 x 3 = ?
A) 32 B)
27 C) 23 D) 17
49. The only prime number that is even is:
A) 0 B)
2 C) 100 D) 4
50. If 14th Feb 1984 was a Tuesday. What was the day on the 13th Feb
1985?
A) Tuesday B) Wednesday C)
Thursday D) Sunday
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