CBSE has released their mathematics sample paper for term 1 2021 exam. Sample paper comes with two categories first is for basic math and second is standard math.
Here in this post we will discuss one sample paper questions for basic math term 1.
Given below sample paper has also answer key.
But, before we started let’s learn the basic instructions that we have to follow before exam.
Instructions
There are total three sections that divides the all 20 questions. Namely section A, B, and C.
Section A has 20 questions, out of that we have to give answer of only 16.
Section B has also 20 questions, out of that we have to give answer of only 16.
Section C has 10 questions, based on case studies. Out of 10 questions, we have to answer only 8.
The full marks of the exam is 40. Because each question carried 1 marks.
The time allotted for the exam is 90 minutes.
CBSE basic Math sample paper class 10 2021
Section A
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
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
(b) 11cm
(c) 22 cm
(d) 44 cm
3. If sinƟ = x and secƟ = y , then tanƟ is
(a) xy
(b) x/y
(c) y/x
(d) 1/xy
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
5. A fair die is thrown once. The probability of even composite number is
(a) 0
(b) 1/3
(c) 3/4
(d) 1
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
7. If cosƟ+cos2Ɵ =1, the value of sin2Ɵ+sin4Ɵ is
(a) -1
(b) 0
(c) 1
(d) 2
8. The decimal representation of 23/(23 × 52) will be
(a) Terminating
(b) Non-terminating
(c) Non-terminating and repeating
(d) Non-terminating and non-repeating
9. The LCM of 23X32 and 22X33 is
(a) 2 3
(b) 3 3
(c) 2 3X33
(d) 2 2X32 1
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
11. In the given figure, DE II BC. Which of the following is true?
(a) x = a + b / ay
(b) y = ax / a + b
(c) x = ay / a + b
(d) x / y = a / b
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)
13. The prime factorisation of 3825 is
(a) 3×52 x21
(b) 32 x52 x35
(c) 32 x52 x17
(d) 32 x25x17
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
15. If ABCD is a rectangle , find the values of x and y
Given that :- AB = 12, BC = 8, DC = x + y, AC = x – y.
(a) X=10,y=2
(b) X=12,y=8
(c) X=2,y=10
(d) x = 20, y = 0
16. In an isosceles triangle ABC, if AC=BC and AB2=2AC2, then the measure of angle C will be
(a) 30˚
(b) 45˚
(c) 60˚
(d) 90˚
17. If -1 is a zero of the polynomial p(x) = x2 -7x – 8 , then the other zero is
(a) -8
(b) -7
(c) 1
(d) 8
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
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
20. The decimal expansion of 147/120 will terminate after how many places of decimals?
(a) 1
(b) 2
(c) 3
(d) 4
Section B
21. The perimeter of semicircular protector whose radius is r is,
(a) 𝜋 + 2r
(b) 𝜋 + r
(c) 𝜋r
(d) 𝜋r + 2r
22. If P (E) denotes the probability of an event E, then
(a) 0 < P (E) ≤ 1
(b) 0 < P (E) < 1
(c) 0 ≤ P (E) ≤ 1
(d) 0 ≤ P (E) < 1
23. In triangle ABC, angle B = 90 degree, If AC = 9 cm and AD = 3 cm then BD = ?
(a) 2√2
(b) 3√2
(c) 2√3
(d) 3√3
24. The pair of linear equations 3x + 5y = 3, and 6x ky + 8 do not have a solution if
(a) k = 5
(b) k = 10
(c) k ≠ 10
(d) k ≠ 5
25. If the circumference of the circle increases from 2𝜋 to 4𝜋 then its area _____ the original area.
(a) Half
(b) Double
(c) Three times
(d) Four times
26. Given that Sin theta = a/b, then than theta is equal to
27. If x = 2 sin square theta and y = 2 cos square theta + 1 then x + y is,
(a) 3
(b) 2
(c) 1
(d) 1/2
28. If the difference between the circumference and the radius of a circle is 37 cm, 𝜋 = 22/7, the circumference (in cm) of the circle is,
(a) 154
(b) 44
(c) 14
(d) 7
29. The least number that is divisible by all the numbers from 1 to 10 (both includes)
(a) 100
(b) 1000
(c) 2520
(d) 5040
30. Three bells ring at intervals of 4, 7 and 14 minutes. All three rings at 6 :00 AM. When when will they ring together again?
(a) 6:07 AM
(b) 6:14 AM
(c) 6:28 AM
(d) 6:25AM
31. What is the age of father, if the sum of the ages of a father and his son in years is 65 and twice the difference of their ages in years is 50?
(a) 40 years
(b) 45 years
(c) 55 years
(d) 65 years
32. What is the value of (tan 𝚹 cosec 𝚹)2 – (sin𝚹 sec𝚹)2 ?
(a) -1
(b) 0
(c) 1
(d) 2
33. The perimeter of two similar triangles are 26cm and 39cm. The ratio of their areas will be
(a) 2:3
(b) 6:9
(c) 4:6
(d) 4;9
34. There are 20 vehicles, cars and motorcycle in a parking area. If there are 56 wheels together, how many cars are there?
(a) 8
(b) 10
(c) 12
(d) 20
35. A man goes 15m due west and then 8m due north. How far is he from the starting point?
(a) 7m
(b) 10m
(c) 17m
(d) 23m
36. What is the length of an altitude of an equilateral triangle of side 8cm?
(a) 2√3
(b) 3√3
(c) 4√3
(d) 5√3
37. If the letter of the word RAMAJUN are put in a box and one letter is drown at random, The probability that the letter A is
(a) 3/5
(b) 1/2
(c) 3/7
(d) 1/3
38. Area of a sector of a circle is 1/6 to the area of circle. Find the degree measure of its minor arc?
(a) 90 degree
(b) 60 degree
(c) 45 degree
(d) 30 degree
39. A vertical stick 20m long casts a shadow10 m long on the ground. At the same time a tower cast a shadow 50m long. what is the height of the tower?
(a) 30 m
(b) 50m
(c) 80m
(d) 100m
40. What is the solution of the pair of linear equations 37x + 43y = 123, 43x + 37y = 117?
(a) x = 2, y = 1
(b) x = -1, y = 2
(c) x = -2, y = 1
(d) x = 1, y = 2
Section C
Case Study based Questions
In this section, there are total 10 questions, having 8 of them should be answer. So this section contains more images and discuss format. That didn’t suitable for typing.
CBSE basic Math sample paper class 10 answer key with Solution
- Question Number 1 Solution
- Question number 2 solution
- Question Number 3 solution
- Question Number 4 Solution
- Question Number 5 Solution
- Question Number 6 Solution
- Question Number 7 Solution
- Question Number 8 Solution
- Question Number 9 Solution
- Question Number 10 Solution
- Question Number 11 Solution
- Question Number 12 Solution
- Question Number 13 Solution
- Question Number 14 Solution
- Question Number 15 Solution
- Question Number 16 Solution
- Question Number 17 Solution
- Question Number 18 Solution
- Question Number 19 Solution
- Question Number 20 Solution
- Question Number 21 Solution
- Question Number 22 Solution
- Question Number 23 Solution
- Question Number 24 Solution
- Question Number 25 Solution
- Question Number 26 Solution
- Question Number 27 Solution
- Question Number 28 Solution
- Question Number 29 Solution
- Question Number 30 Solution
- Question Number 31 Solution
- Question Number 32 Solution
- Question Number 33 Solution
- Question Number 34 Solution
- Question Number 35 Solution
- Question Number 36 Solution
- Question Number 37 Solution
- Question Number 38 Solution
- Question Number 39 Solution
- Question Number 40 Solution