Class 10 Mathematics (Basic) TERM 1 Sample Paper Solution - CBSE | Session- 2021-22

1. A box contains cards numbered 6 to 50. A card is drawn at random from the box. The probability that the drawn card has a number which is a perfect square like 4,9….is 

(a) 1/45 

(b) 2/15 

(c) 4/45 

(d) 1/9

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2. In a circle of diameter 42cm ,if an arc subtends an angle of 60 ˚ at the centre where ∏=22/7,then the length of the arc is 

(a) 22/7 cm 
(c) 22 cm 
(d) 44 cm
(b) 11cm 

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3. If sinƟ = x and secƟ = y , then tanƟ is 

(a) xy 

(b) x/y 

(c) y/x 

(d) 1/xy

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4. The pair of linear equations y = 0 and y =-5 has 

(a) One solution 

(b) Two solutions 

(c) Infinitely many solutions 

(d) No solution

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5. A fair die is thrown once. The probability of even composite number is 

(a) 0 

(b) `1/3` 

(c) `3/4` 

(d) 1

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6. 8 chairs and 5 tables cost Rs.10500, while 5 chairs and 3 tables cost Rs.6450. The cost of each chair will be 

(a) Rs. 750 

(b) Rs.600 

(c) Rs. 850 

(d) Rs. 900

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7. If cosƟ+`"cos"^{2}Ɵ` =1,the value of `"sin"^{2}`Ɵ+`"sin"^{4}Ɵ` is

(a) -1 

(b) 0 

(c) 1 

(d) 2

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8. The decimal representation of `\frac{"23"}{"2"^{"3"}\times "5"^{"2"}}` will be 

(a) Terminating 

(b) Non-terminating 

(c) Non-terminating and repeating 

(d) Non-terminating and non-repeating

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9. The LCM of `2^{3}\times 3^{2}` and `2^{2}\times 3^{3}` is

(a) `2^{3}`

(b) `3^{3}`

(c) `2^{3}\times 3^{3}`

(d) `2^{2}\times 3^{2}`

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10. The HCF of two numbers is 18 and their product is 12960. Their LCM will be 

(a) 420 

(b) 600 

(c) 720 

(d) 800

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11. In the given figure, DE II BC. Which of the following is true?

(a)  x = `\frac{"a + b"}{"ay"}`

(b) y = `\frac{"ax"}{"a + b"}`

(c) x = `\frac{"ay"}{"a + b"}`

(d) `\frac{"x"}{"y"}`=`\frac{"a"}{"b"}`

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12. The co-ordinates of the point P dividing the line segment joining the points A (1,3) and B (4,6) internally in the ratio 2:1 are 

(a) (2,4) 

(b) (4,6) 

(c) (4,2) 

(d) (3,5)

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13. The prime factorisation of 3825 is

(a) `3\times 5^{2}\times21`
(b) `3^{2}\times 5^{2}\times35`
(c) `3^{2}\times 5^{2}\times3517`
(d) `3^{2} 25 \times3517`

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14. In the figure given below, AD=4cm,BD=3cm and CB=12 cm, then cotƟ equals

(a) 3/4 

(b) 5/12 

(c) 4/3 

(d) 12/5

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15. If ABCD is a rectangle , find the values of x and y

(a) X=10,y=2 

(b) X=12,y=8 

(c) X=2,y=10 

(d) X=20,y=0

 

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16. In an isosceles triangle ABC, if AC=BC and `"AB"^{2}`=`"2AC"^{2}` , then the measure of angle C will be 

(a) 30˚ 

(b) 45˚ 

(c) 60˚ 

(d) 90˚

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17. If -1 is a zero of the polynomial p(x)=`"x"^{2}` -7x-8 , then the other zero is

(a) -8 

(b) -7 

(c) 1 

(d) 8

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18. In a throw of a pair of dice, the probability of the same number on each die is 

(a) 1/6 

(b) 1/3 

(c) 1/2 

(d) 5/6

 

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19. The mid-point of (3p,4) and (-2,2q) is (2,6) . Find the value of p+q 

(a) 5 

(b) 6 

(c) 7 

(d) 8

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20. The decimal expansion of `"147"/"120"` will terminate after how many places of decimals? 

(a) 1 

(b) 2 

(c) 3 

(d) 4

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