WIN MATHS CBSE

HALF-YEARLY EXAMINATION, 2024 -‘25
MATHEMATICS SAMPLE PAPER


Grade: X1 Maximum Marks: 80




SECTION A
This section comprises of multiple-choice questions of 1 mark each
1 A,B and C are any three non-empty sets, then A x (BUC) is equal to ----------- 1
a) (AxB)U(AxC)
b) (AUB)x(AUC)
c) (AxB)∩(AxC)
d) None of these.
2 Which of the following is a null set? 1
a) { x : x∈ R , 𝑥 2 − 4 = 0 }
b) { x : x∈ R , 𝑥 2 + 1 = 0 }
c) { x : x∈ N , 3 < 𝑋 < 5 }
d) None of these.
3 Empty set is a ----------- 1
a) Finite set.
b) Infinite set.
c) Invalid set.
d) None of these.




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, 4 The range of the function f(x) = −|𝑋| ----------- 1
a) ( −∞ , ∞)
b) [ 0 , ∞)
c) (−∞ , 0 ]
d) None of these.
5 A = { 1,2,3,5 } , B = { y:y satisfy the equation y3 – 2y2 – y + 2.= 0 } . The number of 1
relations from A to B is -------------
a) 27
b) 212
c) 63
d) None of these.
6 Let X = { 4, 7, 8, 11, 12 } . If the relation f = { ( 4,8) (7,5) (11,6)( 12,5) ( 8,11) } from X 1
to N is a function , then f(f(f(4))) is ---------------
a) 8
b) 5
c) 6
d) None of these.
7 The value of sin
31𝜋
, which of the following is true 1
3
1
a)
2

√3
b)
2

√3
c)
4
d) 0
8 π 1
tan ( + 𝑥) = …………
2
a) −cos x
b) −cot x
c) tanx
d) None of these.




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