Periodic Test – 1 — 2023-24
Class —X
Subject— MATHS (Set-A)
Time: 2 hrs
MM: 40
GENERAL INSTRUCTIONS
SECTION – A: Q NO. 1 TO 10 MCQ EACH CARRY 1 MARK.
SECTION – B: Q NO. 11 TO 14 EACH CARRY 2 MARKS
SECTION – C: Q NO. 15 TO 18 EACH CARRY 3 MARKS
SECTION – D: Q NO. 19,20 EACH CARRY 5 MARKS
SECTION – A (1×10=10)
1. Prime Factors of 98 are:
a) 2×7² b) 2×7^5 c) 2×7^3 d) 3×7^3
2. The product of HCF and LCM of 72 and 132 is:
a) 9504 b) 9054 c) 9045 d) 9540
3. HCF of two prime numbers is
a) 1 b) 0 c) 2 d) 3
4. The sum of the zeroes of the polynomial 2x²-8x+6 is:
a) 4 b) -4 c) 3 d) -3
5. In the figure, the graph of a polynomial p(x) is shown. The number of zeroes of p(x) is :
a) 3 b) 2 c) 1 d) 4
6. Zeroes of the polynomial 4x²-9 are :
a) ±3/2 b) ±5/2 c) ±2/3 d) none of these.
7. What is the modal class in the given table :
| Class | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 |
| Frequency | 6 | 8 | 13 | 11 | 9 |
a) 20-30 b) 0-10 c) 30-40 d) 40-50
8. What should be in the blank
2 Mean = 3 Median – (__________)
a) Mode b) 2 Mode c) 3 Mode d) 4 Mode
9. If an event cannot occur, then its probability is:
a) 0 b) 1 c) 1/2 d) 3/4
10. If P(A) denotes the probability of an event A, then
a) 0≤P(A)≤1 b) P(A)>1 c) P(A)<0 d) -1P≤(A)≤1
SECTION B (2×4=8)
11. A lot consists of 144 pens, of which 20 are defective, and the others are good. Nuri will buy a pen if it is good but will not buy it if it is defective. The shopkeeper draws one pen at random and gives it to her. What is the probability that :
a) She will buy it?
b) She will not buy it?
12. Find the mode from the following data:
| Class | 80-90 | 90-100 | 100-110 | 110-120 | 120-130 |
| Frequency | 7 | 11 | 5 | 4 | 10 |
14. The HCF of two numbers is 119 and their LCM is 11781. If one of the numbers is 1071. Find the other number.
SECTION-C (3×4=12)
15. Prove that 2+√3 is an irrational number.
16. Find the zeroes of the quadratic polynomial 6x²-3-7x and verify the relationship between the zeroes and the coefficients.
17. If the mean of the following distribution is 54, find the value of p.
| Class | 0-20 | 20-40 | 40-60 | 60-80 | 80-100 |
| Frequency | 7 | p | 10 | 9 | 13 |
a) a king of red colour
b) a face card
c) red card.
SECTION – D (5×2=10)
19. If the median of the following frequency distribution is 46, find the missing frequencies x and y.
| Class | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 | Total |
| Frequency | 12 | 30 | x | 65 | y | 25 | 18 | 230 |
20. A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn from the box, find the probability that it bears.
i) a two-digit number
ii) a perfect square number
iii) a number divisible by 5
iv) an odd number
v) an even number