Algebra Mathematics 1 Board Question Paper 2025-2026 SSC (English Medium) 10th Standard Question Paper Solution

Rate of GST on essential commodities is ______.

5%

 12%

 0%

18%

Out of the following equations which one is not a quadratic equation?

x² + 4x = 11 + x²

x² = 4x

5x² = 90

2x – x² = x² + 5

To draw a graph of 4x + 5y = 19, find the value of y when x = 1.

4

3

2

−3

The Sum of first five multiples of 3 is ______.

45

55

15

75

On a certain article, if the rate of CGST is 9%, then what is the rate of GST?

For simultaneous equations in variables x and y, if Dx = −42 and D = −3, then find the value of х.

Two coins are tossed simultaneously. Write the sample space ‘S’.

Write the following quadratic equation in the form ax² + bx + c = 0:

2y = 10 − y²

If one die is rolled, then find the probability of the event that the number on the upper face is prime.

Solution:

‘S’ is the sample space.

S = {1, 2, 3, 4, 5, 6}

∴ n(S) = `square`

Event A: Prime number on the upper face.

A = (2, 3, 5)

∴ n(A) = `square`

∴ P(A) = `(n(A))/square`

∴ P(A) = `square/6`

= `1/2`

Write the correct number in the given boxes from the given A.P.: 70, 60, 50, 40, ......

Here `t_1 = square` t₂ = 60, `t_3 = square`

∴ a = `square`, d = `square`

Complete the following table to draw graph of the equation.

x + y = 3

Two coins are tossed simultaneously. Find the probability of getting at least 1 head.

Solve the following simultaneous equations:

x + y = 4; 2x – y = 2

Solve the following quadratic equation by factorisation method:

x² + x – 20 = 0

Find the mean from the given values:

∑x_if_i = 1265; N = 50

Shreekar bought a Laptop with 10% discount on the printed price. The printed price of that Laptop was ₹ 50,000. 18% GST was charged on the discounted price. Find the amount of CGST and SGST. What amount did Shreekar pay?

Solution:

Discount = 10% of 50,000 = ₹ `square`

∴ Taxable value of Laptop = 50,000 − `square`

= ₹ 45,000

∴ Rate of GST = `square`

∴ Rate of CGST = 9%

∴ GST = 9% of 45,000

= `square` × 45,000

= ₹ `square`

= SGST = ₹ 4,050

Total amount of Laptop = 45,000 + 4,050 + 4,050 = ₹ `square`

One of the roots of the quadratic equation 5m² + 2m + k = 0 is `(-7)/5`. Complete the following activity to find the value of ‘k’.

Solution:

`(-7)/5` is a root of quadratic equation 5m² + 2m + k = 0.

∴ put m = `(-7)/5` in the equation.

∴ 5 × `square^2` + 2 × `square` +  k = 0

`square + square` + k = 0

`square` + k = 0

∴ k = `square`

Sachin invested some amount in a National Savings Certificate Scheme. In the first year, he invested ₹ 5,000; in the second year, ₹ 7,000; in the third year, ₹ 9,000, and so on. Find the total amount that he invested in 12 years.

Draw a histogram of the following data.

The sum of two roots of a quadratic equation is 7, and the sum of their cubes is 91; find the equation.

Smt. Tejaswini purchased 100 shares of FV ₹ 80 when the MV is ₹ 900. She paid brokerage at the rate of 0.5% and 18% GST on brokerage. Find the following:

1. Net amount paid for 100 shares.
2. Brokerage paid on the sum invested.
3. GST paid on brokerage.
4. Total amount paid for 100 shares.

The following table shows the funds collected by 105 students for flood-affected people. Find the median of the data.

A survey was conducted in the school. Students using different modes of transport are given below:

Find the value of a and draw the Pie diagram.

There are some students in group A and group B. If one student goes from group A to group B, then the number of students in both groups is the same. But one student goes from group B to group A, then the number of students in group A becomes twice of group B. Find the number of students in each group.