SSC (English Medium)
Academic Year: 2024-2025
Date & Time: 5th March 2025, 11:00 am
Duration: 2h
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General Instructions :
- All questions are compulsory.
- Use of a calculator is not allowed.
- The numbers to the right of the questions indicate full marks.
- In case of MCQs [Q. No. 1(A)] only the first attempt will be evaluated and will be given credit.
Write the degree of the given statement.
`|(1, 2),(3, 4)|`
1
2
3
4
Chapter:
Which one is the quadratic equation?
`5/x - 3 = x^2`
x(x + 5) = 2
n – 1 = 2n
`1/x^2(x + 2) = x`
Chapter:
Find the common difference of the following A.P.:
4, 4, 4, ....
1
8
4
0
Chapter:
Which number cannot represent a probability?
`2/3`
1.5
15%
0.7
`15/10`
Chapter:
If 2x + y = 7 and x + 2y = 11, then find the value of x + y.
Chapter:
Write the first two terms of the sequence whose nth term is tn = 3n ‒ 4.
Chapter:
How many alpha numerals are there in the format of GSTIN?
Chapter:
Two coins are tossed simultaneously. Write the sample space ‘S’.
Chapter:
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Complete the following table to draw the graph of x + 2y = 4.
Activity:
| x | −2 | `square` |
| y | `square` | 1 |
| (x, y) | `square` | `square` |
Chapter:
Complete the following activity to form a quadratic equation.
Activity:
| I am a quadratic equation. |
| ↓ |
| My standard form is ______. |
| ↓ |
| My roots are 5 and 12. |
| ↓ |
| Sum of my roots is ______. |
| ↓ |
| Product of my roots is ______ |
| ↓ |
| My quadratic equation is ______. |
Chapter:
Pushpmala has invested ₹ 24,000 and purchased shares of FV ₹ 20 at a premium of ₹ 4. Complete the following activity to find the number of shares she purchased.
Activity:
FV = ₹ 20
Premium = ₹ 4
MV = FV + `square`
= 20 + `square`
= ₹ 24
Number of shares = `"Total investment"/"MV"`
= `(24,000)/square`
= `square` shares
Chapter:
Solve the following simultaneous equations:
x + y = 3; 3x − 2y = 4
Chapter:
Solve the following quadratic equation by factorisation method:
m2 + 14m + 13 = 0
Chapter:
Find the 19th term of the following A.P.:
7, 13, 19, 25, ...
Chapter:
A share is sold for the market value of ₹ 2,000. A brokerage is paid at the rate of 0.5%. What is the amount received after the sale?
Chapter:
The following table shows the number of students and the time they utilized daily for their studies. Find the mean time spent by students for their studies:
| Time (hrs.) | No. of. students |
| 0 - 2 | 8 |
| 2 - 4 | 14 |
| 4 - 6 | 18 |
| 6 - 8 | 10 |
| 8 - 10 | 10 |
Chapter:
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Shri Maniklal has purchased 300 shares of F.V. ₹ 100 for M.V. ₹ 120. Company has paid dividend at 7%. Complete the following activity to find the rate of return on his investment.
Activity:
F.V. = ₹ 100
Number of shares = 300
Market value = ₹ 120
(a) Sum invested = M.V. × No. of shares
= `square xx square`
= ₹ 36,000
(b) Dividend per share = F.V. × rate of dividend
= `square xx square/100`
= ₹ 7
∴ Total dividend received = 300 × 7
= ₹ `square`
(c) Rate of return = `"Dividend income"/"Sum invested" xx 100`
= `(2,100)/(36,000) xx 100`
= `square` %
Chapter:
A two digit number is to be formed from the digits 2, 3, 5 without repetition of the digits. Complete the following activity to find the probability that the number so formed is an odd number.
Activity:
Let S be the sample space.
∴ S = {23, 25, 32, `square`, 52, 53}
∴ n(S) = `square`
Event A: The number so formed is an odd number.
∴ A = {23, 25, `square`, 53}
∴ n(A) = 4
∴ P(A) = `(square)/(n(S))` .....(Formula)
∴ P(A) = `(square)/(6)`
∴ P(A) = `(square)/(3)`
Chapter:
Solve the following simultaneous equations using Cramer’s rule.
4x + 3y = 18, 3x − 2y = 5
Chapter:
Solve the following quadratic equation by using the formula method:
x2 − 2x − 3 = 0
Chapter:
A committee of two members is to be formed from three boys and two girls. Find the probability of the following events:
Event A: At least one girl must be a member of the committee.
Event B: Committee must be of one boy and one girl.
Chapter:
The prices of different articles and demand for them is shown in the following frequency distribution table. Find the median of the prices.
|
Price (Rupees)
|
20 less than | 20 – 40 | 40 – 60 | 60 – 80 | 80 – 100 |
| No. of articles | 140 | 100 | 80 | 60 | 20 |
Chapter:
If the roots of the given quadratic equation are real and equal, then find the value of ‘m’.
(m – 12)x2 + 2(m – 12)x + 2 = 0
Chapter:
A farmer borrows ₹ 1,000 and agrees to repay with a total interest of ₹ 140 in 12 installments. Each installment being less than the preceding installment by ₹ 10. What should be the amount of his first and last installment?
Chapter:
The following frequency distribution table shows marks obtained by 180 students in Mathematics examination.
| Marks | No. of students |
| 0 – 10 | 25 |
| 10 – 20 | x |
| 20 – 30 | 30 |
| 30 – 40 | 2x |
| 40 – 50 | 65 |
Find the value of x. Also draw a histogram representing the above information.
Chapter:
Draw the graphs representing the equations 2x = y + 2 and 4x + 3y = 24 on the same graph paper. Find the area of the triangle formed by these lines and the X-axis.
Chapter:
The following pie diagram shows the percentage of persons according to blood group in a blood group checking camp. Answer the following questions:
- Find the measure of the central angle for each blood group.
- Find the total number of persons if there are 600 persons with blood group B.
Chapter:
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