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Home
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
How many prime factors are there in the prime factorization of 50820 ?
A.
8
B.
9
C.
7
D.
6
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Linear Equations in Two Variables
Sample Question
If following pair of equations have infinitely many solutions, find the value of p and q.
40x + 44y = 8
(3p + 2q)x + (3p + q)y = 4
A.
p = 8, q = -1
B.
p = 8, q = -2
C.
p = 7, q = -3
D.
p = 9, q = -2
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Quadratic Equations
Sample Question
The sum of the squares of two consecutive natural numbers is 181. Find the numbers.
A.
10 and 11
B.
8 and 9
C.
9 and 10
D.
7 and 8
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Arithmetic Progressions
Sample Question
Element number 17 of the arithmetic progression
8, 14, 20, 26
is :
A.
104
B.
98
C.
116
D.
92
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Trigonometry
Sample Question
If AB =
and AC =
, find value of (cos A / tan A).
A.
B.
C.
D.
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Mean, Mode and Median
Sample Question
If the mean of the following data is 35, and the sum of all the frequencies is 100, then what is the value of
y
Class interval
0-10
10-20
20-30
30-40
40-50
50-60
60-70
Frequency
12
16
x
y
8
12
18
A.
16
B.
20
C.
18
D.
15
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Probability
Sample Question
What is the probability that an integer in the set 1, 2, 3, ...86 is divisible by 2 and not divisible by 3?
A.
32
85
B.
26
84
C.
29
86
D.
27
87
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Dice and Cubes
Sample Question
Faces of a cube are marked with A,B,C,D,E and F. If three views of cube are as shown below, what will be there on the face opposite to face A?
A.
C
B.
E
C.
A
D.
D
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Venn Diagrams
Sample Question
In this diagram, the triangle represents men, the square represents doctors and the circle represents employed. Find the number of men who are doctors and employed.
A.
6
B.
5
C.
7
D.
1
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Number Series
Sample Question
Find the next term of given sequence ..
12, 27, 59, 125, 261, 535, ....
A.
1087
B.
2174
C.
1092
D.
11957
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Alphabet Problems
Sample Question
Which of the following choices would replace the blank below?
EGIK:____::KMOQ:OQSU
A.
KMOQ
B.
NPRT
C.
PRTV
D.
OQST
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NTSE_MAT
Sample Question
Find the next term of given sequence ..
4, 9, 19, 39, 79, ....
A.
155
B.
160
C.
159
D.
163
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Full Year 10th Grade Review
Sample Question
If AB =
and AC =
, find value of (sin A / tan A).
A.
B.
C.
D.
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Polynomials
Sample Question
If two zeros of polynomial x
^{3}
+ bx
^{2}
+ cx + d are 5+√3 and 5-√3, find its third zero.
A.
-b - 10
B.
- c - 10
C.
b - 10
D.
10 - b
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