SSC (English Medium)
Academic Year: 2024-2025
Date & Time: 1st July 2025, 11:00 am
Duration: 2h
Advertisements
Note:
- 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.
The value of determinant `|(5, 3),(-7, -4)|` is ______.
–1
–41
41
1
Chapter:
Out of the following equations which one is not a quadratic equation?
x2 + 4x = 11 + x2
x2 = 4x
5x2 = 90
2x – x2 = x2 + 5
Chapter:
For given A.P. a = 3.5, d = 0, then t2 = ______.
0
3.5
7
10.5
Chapter:
From the following numbers which number cannot represent a probability?
0.6
2.0
0.15
0.75
Chapter:
For simultaneous equations in variables x and y Dx = 49, Dy = –63, D = 7, then find the value of x.
Chapter:
Write the following quadratic equation in standard form:
2y = 10 – y2
Chapter:
Face value of one share is ₹ 100 and premium is ₹ 10. Find the market value of the share.
Chapter:
Complete the following activity to solve the quadatic equation x2 + 8x – 48 = 0 by completing square method.
Activity:
∴ x2 + 8x – 48 = 0
∴ x2 + 8x + 16 – `square` – 48 = 0
∴ (x + 4)2 – `square` = 0
∴ (x + 4)2 = 64
∴ x + 4 = `square` or x + 4 = –8
∴ x = 4 or x = `square`
Chapter:
Advertisements
Courier service agent charged total ₹ 590 to courier a parcel from Nashik to Nagpur. In the tax invoice taxable value is ₹ 500 on which CGST is ₹ 45 and SGST is ₹ 45. Complete the following activity to find the rate of GST charged for this service:
Activity:
Total GST = CGST + SGST
= ₹ `square` + 45
= ₹ `square`
Rate of GST = `90/500 xx square`
∴ Rate of GST charged by agent is `square`%
Chapter:
The monthly expenditure of a family on different items is shown in the following table. Complete the following activity to calculate the related central angles.
Activity:
| Different items | Percentage of expenditure | Measure of central angle |
| Food | 40 | `40/100 xx 360^circ = square` |
| Clothing | 20 | `20/100 xx 360^circ = square` |
| Eduaction | 30 | `30/100 xx 360^circ = square` |
| Other expenditure | 10 | `10/100 xx 360^circ = square` |
| Total | 100 | 360° |
Chapter:
Find the values of (x + y) and (x – y) of the following given simultaneous equations:
101x + 99y = 501
99x + 101y = 499
Chapter:
Solve the following quadratic equation by factorisation method:
x2 – 15x + 54 = 0
Chapter:
Which term of the following A.P is 560?
2, 11, 20, 29,......
Chapter:
Market value of a share is Rs 200. If the brokerage rate is 0.3% then find the purchase value of the share.
Chapter:
If `sumf_i d_i = 10,000, sumf_i = 100` and A = 2000, then find mean `(barx)`.
Chapter:
In an A.P sum of three consecutive terms is 27 and their product is 504. Complete the following activity to find the terms.
Activity:
Let three consecutive terms be a – d, a, a + d.
∴ a – d + a + a + d = `square`
∴ a = `square`
Similarly:
(a – d) × a × (a + d) = `square`
∴ [(9)2 – d2] × 9 = 504
∴ (81 – d2) × 9 = 504
∴ d2 = 81 – `square`
∴ d = ± 5
Thus by puting a = 9 and d = 5 we get three consecutive terms = `square`
Or by putting a = 9 and d = –5 we get three consecutive terms = `square`
Chapter:
A card is drawn from a well shuffled pack of 52 playing cards.
Complete the following activity to find the probability of the following events:
- A red card
- A face card.
Activity:
Let ‘S’ is the sample space.
∴ n(S) = `square`
Event A: Card drawn is a red card.
Total red cards = `square`
∴ n(A) = `square`
∴ P(A) = `("n"("A"))/("n"("S"))` .........[Formula]
∴ P(A) = `26/52`
∴ P(A) = `square`
Event B: Card drawn is a face card.
Total face cards = 12
∴ n(B) = `square`
∴ P(B) = `("n"("B"))/("n"("S"))` .........[Formula]
∴ P(B) = `12/52`
∴ P(B) = `square`
Chapter:
Advertisements
In the following table the yearly investment made by 210 families is given. From this information draw the histogram.
| Investment (Thousand Rupees) | Number of families |
| 10 – 20 | 30 |
| 20 – 30 | 50 |
| 30 – 40 | 60 |
| 40 – 50 | 55 |
| 50 – 60 | 15 |
Chapter:
Shri Shivajirao has purchased 150 shares of F.V. ₹ 100, for M.V. of ₹ 120. Company has paid 7% dividend. Find the rate of return on his investment.
Chapter:
Product of Shraddha’s age 2 years ago and 3 years hence is 84. Find her present age.
Chapter:
Solve the following simultaneous equations graphically:
x + y = 6, x – y = 4
Chapter:
In an agriculture field the ratio of salary of skilled and unskilled workers is 5 : 4. Total salary of one day of both of them is ₹ 900. Find daily wages of skilled and unskilled workers.
Chapter:
Two dice are thrown. Find the probability of the following events:
- Event A: The sum of the numbers on their upper faces is at least 9.
-
Event B: The sum of the numbers on their upper faces is divisible by 5.
- Event C: The number on the upper face of the first die is greater than the number on the upper face of the second die.
Chapter:
In the following frequency distribution table ages of 300 patients and number of patients in a hospital is given. Find the median age of the patients:
| Age (In years) | Number of patients |
| 10 – 20 | 60 |
| 20 – 30 | 42 |
| 30 – 40 | 55 |
| 40 – 50 | 70 |
| 50 – 60 | 53 |
| 60 – 70 | 20 |
Chapter:
The condition is given below. Write the quadratic equation to satisfy the condition:
If discriminant Δ = 0
Chapter:
The condition is given below. Write the quadratic equation to satisfy the condition:
If discriminant Δ > 0
Chapter:
The condition is given below. Write the quadratic equation to satisfy the condition:
If discriminant Δ < 0
Chapter:
If first term of an A.P. is ‘p’, second term is ‘q’ and last term is ‘r’, then show that the sum of all terms is `((p + r)(q + r - 2p))/(2(q - p))`.
Chapter:
Other Solutions
Submit Question Paper
Help us maintain new question papers on Shaalaa.com, so we can continue to help studentsonly jpg, png and pdf files
Maharashtra State Board previous year question papers 10th Standard Algebra Mathematics 1 with solutions 2024 - 2025
Previous year Question paper for Maharashtra State Board 10th Standard Algebra Maths 1-2025 is solved by experts. Solved question papers gives you the chance to check yourself after your mock test.
By referring the question paper Solutions for Algebra Mathematics 1, you can scale your preparation level and work on your weak areas. It will also help the candidates in developing the time-management skills. Practice makes perfect, and there is no better way to practice than to attempt previous year question paper solutions of Maharashtra State Board 10th Standard.
How Maharashtra State Board 10th Standard Question Paper solutions Help Students ?
• Question paper solutions for Algebra Mathematics 1 will helps students to prepare for exam.
• Question paper with answer will boost students confidence in exam time and also give you an idea About the important questions and topics to be prepared for the board exam.
• For finding solution of question papers no need to refer so multiple sources like textbook or guides.
