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Preparing for competitive exams? Jump to
IMO

NSTSEMATHS

Olympiad

NTSEMaths
SCHOOL TOPICS
Number System
Sample Question
Is variable x in x
^{2}
=25 represents a rational or an irrational number?
A.
Irrational
B.
Rational
C.
D.
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Polynomials
Sample Question
Find sum of zeroes of polynomial

p
^{2}
 17
p
 72
.
A.
15
B.
17
C.
16
D.
17
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Coordinate Geometry
Sample Question
If coordinates of the point shown in the picture are (p+10, p+15), find the value of p.
A.
25
B.
40
C.
35
D.
30
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Linear Equations in Two Variables
Sample Question
Find the linear equation represented in the graph below.
A.
y =
x
 1
B.
y =

x
 1
C.
y =
1
D.
y =
 1
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Lines and Angles
Sample Question
If AB and DE are parallel, find the value of ∠ACB
A.
100°
B.
110°
C.
105°
D.
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Quadrilaterals
Sample Question
In a triangle ABC, AD is the median. F is the point on AC such that line BF bisect AD at E. If AD = 10 cm and AF = 4 cm, find the measure of AC.
A.
15 cm
B.
8 cm
C.
10 cm
D.
12 cm
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Circles
Sample Question
If AB is a diameter of the circle and C, D, E are any three points on the semicircle. Find the value of ∠ACD + ∠BED.
A.
180º
B.
235º
C.
270º
D.
360º
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GeometryOverall
Sample Question
If BC is a diameter of the circle and ∠BAO = 60º. Then find the value of ∠ADC.
A.
65°
B.
50°
C.
60º
D.
70°
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Herons Formula
Sample Question
The area of an equilateral triangle with a side of 4 cm is :
A.
16cm
^{2}
B.
64cm
^{2}
C.
cm
^{2}
D.
4cm
^{2}
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Surface Area and Volume
Sample Question
Find the volume the biggest hemisphere, which can fit in a cube of side 4x.
A.
16/3 π x
^{3}
B.
2/3 π x
^{3}
C.
18 π x
^{3}
D.
128/3 π x
^{3}
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Data Handling  Probability, Statistics
Sample Question
The letters of the word PROBABILITY are rearranged in a random order. What is the probability that the letters have exactly 3 letters between them?
A.
20
105
B.
13
120
C.
10
110
D.
14
110
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Logical Reasoning
Sample Question
How many 3digit numbers satisfy the property that the digit in the middle is the average of the first and the third digits?
A.
48
B.
47
C.
45
D.
44
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Full Year 9th Grade Review
Sample Question
If a prime number is less than 29, what is the probability that it is also less than 19.
A.
8/9
B.
7/10
C.
7/9
D.
2/3
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