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Math
Grade 10
Grade 10 Math
Grade 4
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Grade 10
Preparing for competitive exams? Jump to
Olympiad
SCHOOL TOPICS
Real Numbers
Sample Question
Which of the following is not an irrational number ..
A.
7  9√4
B.
3 + 10√7
C.
4 + 2√5
D.
10 + 6√3
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Linear Equations in Two Variables
Sample Question
The pair of equations
y = 5
and
y = 2
has
A.
two solutions
B.
an unique solution
C.
infinitely mainy solution
D.
no solution
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Quadratic Equations
Sample Question
Find the roots of the quadratic equation
z
^{2}
 3
z
+ 1
= 0.
A.
and
B.
and
C.
and
D.
and
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Arithmetic Progressions
Sample Question
The sum of the first three terms of an AP in increasing order is 36, and their product is 1296. What is the value of the 13
^{th}
term?
A.
78
B.
96
C.
66
D.
84
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Trigonometry
Sample Question
If cos α + cos
^{2}
α = 1, then find the value of expression (sin
^{2}
α + sin
^{4}
α).
A.
2
B.
1
C.
0
D.
0.5
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Mean, Mode and Median
Sample Question
Ecem selects 3 numbers randomly from the following set of 5 numbers
4, 2, 7, 11 and 3
.
He puts them in the form of a proper fraction of the type
a
b
c
.
What is the probability that you will get a fraction greater than
4
16
17
?
A.
6
36
B.
18
36
C.
18
30
D.
12
30
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Probability
Sample Question
From a deck of cards, Bora took out one card at random. What is the probability that he got a prime number?
A.
6
13
B.
1
13
C.
4
13
D.
2
13
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Dice and Cubes
Sample Question
Faces of a cube are marked with 1,2,3,4,5 and 6. If two views of cube are as shown below, what will be there on the face opposite to face 4?
A.
5
B.
1
C.
2
D.
3
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Venn Diagrams
Sample Question
Following chart shows number of students in a school who play one of three sports. Find the number of students who play exactly two sports.
A.
52
B.
55
C.
58
D.
53
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Number Series
Sample Question
Find the next term of given sequence ..
16, 55, 176, 541, 1640, 4939, ....
A.
14845
B.
14840
C.
163240
D.
44520
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Alphabet Problems
Sample Question
Which of the following options represents the next two terms in the series?
A, Z, D, X, G, V, J, T, ___, ____
A.
L, R
B.
L, Q
C.
N, Q
D.
M, R
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NTSE_MAT
Sample Question
Which of the following choices would replace the blank below
CDE:XWV::HIJ:____
A.
SQR
B.
RQP
C.
SRQ
D.
TSR
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Full Year 10th Grade Review
Sample Question
What is the middle term of the arithmetic progression
7, 14, 35,...,917
?
A.
455
B.
434
C.
497
D.
413
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Polynomials
Sample Question
If α and β are the zeros of quadratic polynomial
x
^{2}

x
+ 2
, find the value of 1/α
^{3}
+ 1/β
^{3}
.
A.
5/8
B.
1/2
C.
7/8
D.
3/8
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