Mathematics Test Papers For
MTSE / IPM / IMO
Standard – 4 Paper
number: 005
Time: 90 minutes
1.
How many times 2/14 should be added to 2/14 to
get an answer of 2.
A)
14 B)
12 C)
13 D) 15
2. 13/36 + 19/36 - 5/36 = ɸ
. Find ɸ
A)
1/3 B)
2/3 C)
3/4 D) 5/4
3.
In how many ways can 36 be written as product of
2 numbers?
A)
3 B) 5 C) 4 D)
6
4.
If 19/ ɸ + 15/ ɸ = 2. Then find “ɸ”.
A)
16 B)
68 C) 17 D) 34
5.
How many trees are there on a road side of 1 km,
if the distance between 2 consecutive trees is 25 meters?
A) 42 B) 41 C)
40 D) 39
6.
The height of a wooden window is 1 metre, if we
fix horizontal iron bars at a distance of 10 cm each, then how many bars will
be required?
A) 10 B) 11 C)
9 D) 12
7.
How many kilolitres make a litre?
A) 0.001 B) 0.01 C) 1000 D) 100
8.
Divide 150 into 2 parts such that one is greater
than the other by 6. What is greater part?
A) 75 B) 72 C) 78 D) 80
9.
4ɸ/15 - ɸ/5 =15. Find
the value of ɸ.
A) 210 B) 200 C) 225 D) 125
10.
Find the 6th Term of the series 1, 2,
4, 7, 11, 16, ......, .......
A) 22 B)
21 C) 20 D) 23
11.
What is the angle between the hour and the
minute arm at 3:15 pm.
A) 0 B)
15 C)
45 D) 7.5
12.
The smallest term in the following --2/16 , 2/18, 2/14,
2/15, 2/19 is ?
A) 2/16 B) 2/19 C)
2/18 D)
2/14
13.
In the diagram shown the area of triangle ABC is
,
 |
A) ½ x(AD x DB) B) ½ x(BC x CA) C)
½ x(AB x CE) D) ½ x(BC x EC)
14.
Write the number 100 1/1000 in decimal form?
A) 100.01 B) 100.100 C) 100.001 D) 1000.1
15.
How many 2 digit numbers are there in which 8 is
absent
A) 71 B)
72 C) 73 D) 81
16.
Find the value of the expression 3x +4y-7 when
x=7 and y= x-4
A) 26 B)
30 C) 2 D) none of these
17.
What is the least number that should
be added to 5026 so that the new number is completely divisible by 3?
A) 0 B) 1 C) 3 D)
2
18.
Solve: 1/6 + 1/6 =?/9
A) 2 B) 3 C) 5 D) None of these
19. What is the place value of digit 4 in the
number 8.7345?
A) 4/10 B)
4/100 C) 4/1000 D) 400
20.
A perfect square will never have the
digit -------------- in its units place
A) 1 B)
8 C) 5 D)
9
21. From a point if 8 rays are drawn, how many
angles will be formed?
A) 28 B) 16 C) 8 D)
32
22. Express the number of seconds in the year
2008?
A) 365x24x60x60 B) 366x24x3600 C) 366x60x60 D) 12x24x60x60
23. The number 5*736
is divisible by 11. What digit can be in place of the *?
A) 9 B)
4 C) 7 D) 6
24. Express 3 3/4 hours as decimal?
A) 3.34 B)
3.45 C) 3.15 D) 3.75
25. In the month of March 2013, which days will
occur 5 times?
A) Mon, Tue, Wed B) Tue, wed C) Sun,
Mon, Tue D) Thurs, Fri, Sat
26. How many factors do 210 have?
A)
8 B) 14 C)
15 D) 16
27. Movie tickets from 734453 to 734500 were
sold. How many tickets were sold?
A) 48 B)
49 C)
89 D)
137
28. The equivalent fraction of 12 /18 is?
A) 3
/4 B) 2 /5 C) 4/9 D)
2 /3
29. (ɸΩɸ)
x (Ωɸ)
=14749 and the difference between the digits ɸ and Ω is 1, which digit should
be there at Ω?
A) 1 B)
5 C)
3 D)
4
30. 
?
?
A) IV B)
VI C)
XXII D) XXX
31. Which of the following decimal is the
greatest?
A) 0.04678 B)
0.03235 C) 0.0041 D) 0.0032
32. What divisor gives 8 as the quotient when “y”
is the dividend?
A) 8/y B)
8y C) Y/8 D) 8+Y
33. How many 3 digit even numbers is possible
using the following numbers 4, 0, 5?
A) 3 B)
4 C)
6 D) 1
34. Nanu wants to buy a pen for Rs 180. She does
not have enough money to buy the pen, so she convinces the shop keeper to take equal
amounts every month for 15 months. The shopkeeper agrees to charge Rs 15 per
month. How much extra did Nanu Pay at the end of the period?
A) 24 B)
45 C) 36 D) 30
35. The perimeter of a square is 48 cm. If each
side is shortened by 2 cm, then the perimeter of the new square is?
A)
38 cm B) 42 cm C)
40 cm D) 48 cm
36. A two digit number has “x” in the units place
and “y” in the tens place. Then the number is.....
A)
10x + y B) yx C) 10y+x D) xy
37.
In 2002 the Republic day was celebrated on Saturday. In which year will it be
celebrated on Wednesday?
A) 2004 B)
2005 C)2007 D) 2006
38.
If there is “k” numbers each equal to “x”, what is their sum?
A) k+x B)
kx C) k/x D) data insufficient
39.
How many numbers are divisible by 10, between 1 AND 200?
A) 20 B)
19 C) 21 D) 18
40. What is the greatest 2 digit number that is
divisible by 5 ,8 and 10?
A) 85 B)
80 C) 95 D) 90
41. On the Circumference of a circle, 5 points
are drawn. How many chords can be drawn joining any 2 points?
A) 10 B) 8 C) 9 D) 12
42. Find the value of (2a x b) ÷ c,
where a= 1 /3 , b= 1 /2 , c=1
/4
A) 2/3 B)
4 /3 C) 8 /3 D)
1 /12
43. What will be the digit in the unit’s place of
the product of 14x14x14x14x14?
A) 0 B)
4 C) 6 D) 2
44. 125 metre = ? Kilometre
A) 1 /8 B)
1 /125 C) 125 /100 D)
12.5
45. If the letter “R” represents the smallest 2
digit prime number, then which of the following would
represent the greatest 2 digit prime
number?
A) R + 86 B) R + 95 C)
R + 43 D) R +21
46. What is the smallest number that should be
added to 43789 to make it divisible by 9?
A) 3 B)
6 C) 4 D) 5
47. The difference of which two numbers of the
following is a square number?
A) 169-25 B) 156-24 C)
100-30 D) 256-25
48. If 3 four-digit numbers are added, the
maximum carry over would be
A) 3 B)
4 C) 5 D)
2
49. Which of the following is not a square?
A) 144 B) 1000 C) 729 D)
529
50. What is the maximum number of acute angles
in a triangle?
A) 1 B) 2 C) 3 D)
4
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