Class 10 Maths contains mainly three concepts one is numbers second is geometry and third is trigonometry and Mensuration. NCERT solutions for class 10 maths are really helpful while doing home work and preparing for exams to score good marks in the board exam. https://www.entrancei.com/topics-topics-class-10-mathematics

1. Entrancei.com Math’s questions for class 10
Class-10 Math’s | Theory | NCERT Solutions | Questions | Solved questions | online test | Entrancei.com
Practice questions for class 10 Mathematics
1. Find the value of : ; where a > 0
(a) (b) a (c) a2
(d) none of
these
2. Roots of the quadratic equation x2
+ x – 1 = 0 are
(a) imaginary (b) real and equal (c) real and irrational (d) real and
rational
3. A sphere of diameter ‘d’ is inscribed in a closed cylinder. The total surface area of the
cylinder is :
(a) (b) (c) (d)
4. What is the remainder when x4
– x3
+ x+ 2 is divided by 2x –3 ?
(a) (b) (c) (d) none of
these
5. Which is true ?
(a) log220 = log221 (b) log218 > log236 (c) (d) log220 >
log221
6. then minimum value of
(a) 16 (b) 2 (c) 256 (d) 4
7. The fourth root of is ?
(a) (b) (c) (d)
8. Which statement is false ?
(a) A rhombus is always a parallelogram
(b) A square is always a rhombus
(c) Diagonals of a parallelogram are always equal
(d) Diagonals of a rhombus always intersect at right angles
9. If and then,
(a) 3 (b) 6 (c) (d)
10. The diagonal of a cube is decreased by 10 %. The percentage decrease in its volume is
(a) 33. 1% (b) 72. 9% (c) 27.1% (d) 9 %
11. Alisha is twice as old as Ishaan. 4 years earlier, ratio of Alisha’s age to that of
Ishaan’s age was 4 : 1. Present age of Alisha is :
........a a a a ¥
a
2
dp 25
2
dp
2
2
dp 2
3
2
dp
83
16
85
16
115
16
1 1
2 2
log 18 log 36>
2
4log log 4 ; 0,k x k x> = > ?x =
27 16 3-
1 3- 3 1- 8 3- 3 8-
3 2 2
3 2 2
x
-
=
+
3 2 2
3 2 2
y
+
=
-
?x y+ =
3
2
4 2

2. Entrancei.com Math’s questions for class 10
Class-10 Math’s | Theory | NCERT Solutions | Questions | Solved questions | online test | Entrancei.com
(a) 6 (b) 12 (c) 18 (d) 24
12. If mx2
– x + 1 has real roots, then :
(a) (b)
(c) (d) m can be any real number
13.
ABCD is a rhombus. If OD = 5 cm, CD = 13 cm. Then area of rhombus ABCD is
(a) 60 cm2
(b) 240 cm2
(c) 120 cm2
(d) 30 cm2
14.
ABC is a triangle with area 100 cm2
. AC is produced to D such that AC = CD, BA to
E such that
BA = AE and CB to F such that CB = BF. Then area of DDEF is
(a) 600 cm2
(b) 500 cm2
(c) 700 cm2
(d) none of
these
15. If ; p and q are prime numbers. ‘a’ and ‘b’ are integers. Then
(a) 48 (b) 4 (c) 16 (d) none of
these
16. If , then x = ?
(a) 1 (b) 0 (c) 2 (d) can’t be
determined
17. If , then ;
(a) a + b £ 4 (b) a + b £ 8 (c) a + b ³ 4 (d) a + b ³ 8
18. Find the value of :
(a) –7 (b) 8 (c) 0 (d) either (a)
or (b)
19. If logxy = a, then :
1
4
m =
1
4
m ³
1
4
m £
2009a b
p q´ =
p q
a b
+
+
2
sin ( 2) 1xq = - +
4ab =
56 56 56 .......+ + + ¥
A B
CD
O
A
B
C
D
E
F

3. Entrancei.com Math’s questions for class 10
Class-10 Math’s | Theory | NCERT Solutions | Questions | Solved questions | online test | Entrancei.com
(a) x £ 0 (b) y £ 0 (c) a > 0 (d) x ¹ 1
20. Which statement is true ?
(a) If logax > logay and x, y, then a > 1
(b) If sinq > cosq and q is acute then 0o
< q < 45o
(c) The diagonals of a rectangle are equal
(d) None of these