## Check out the most important questions for class 10 maths ssc board exam 2021

Hey, there, I am once again excited to share with you the most expected or imp questions for maths (mathematics paper 1) for SSC board 2021.

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Important questions for class 10 maths ssc board exam 2021, important questions for class 10 maths 2021 state board

*Note that: Here are imp questions based on only 2021 syllabus.*

## Check out the following Important Questions For Mathematics Paper 1

### Chapter 1: Linear Equations in two variables

- Give the equation o x-axis and y-axis
- Solve by graphical method: 2x – 3y = 4 ; 3y – x = 4
- Find the coordinates to plot a graph (two simultaneous equation are given)
- 99x + 101y = 499; 101x + 99y = 501 (Addition-Subtraction Method) OR one example of cramer’s rule.
- One MCQ, And one for determinant solving
- One word problem out of first three examples.

## Chapter 2: Quadratic Equations

- Identify whether the given equation is a quadratic equation
- Compare with quadratic equations and write the value of a, b and c
- One of the roots of equation 5m2 + 2m + k = 0 is -7/5, Find the value of ’k’. (like this one example)
- Solve quadratic equation by factorization (one example) e.g. x2 + 5x + 6 =0
- Solve a quadratic equation by formula method (one example)
- Find the value of the discriminant
- Determine the nature of roots
- Addition and product of roots of the quadratic equation.
- One Word Problem for ⅔ mark

## Chapter 3: Arithmetic Progression

- Write an A.P when ‘a’ and ‘d’ is given
- Given Arithmetic Progression 12, 16, 20, 24, . . . Find the 24th term of this progression.
- The 11th term and the 21st term of an A.P. are 16 and 29 respectively, then find the 41th term of that A.P.
- Find the sum of first n natural numbers.
- Find the sum of first n odd/even numbers.
- The sum of the first 55 terms in an A.P. is 3300, find its 28th term.
- One application-based word problem.

## Chapter 5: Probability

- All questions are really important
- Sample space, no of elements in the sample space, events, their probability.
- Experiments are one coin tossed, two coins tossed, one dice is rolled, two dices are rolled simultaneously, 52 playing cards, making numbers by using given digits when repetition not allowed
- The problem of forming a committee of two members.
- The random experiment of selecting a card from a particular number of cards.

## Check out the following Important Questions For Mathematics Paper 2

**1. Similarity**

- Two problems on ratios of areas of triangles based on their two properties.
- One Problem on Area of two similar triangles theorem
- Properties of similar triangles
- Areas of two similar triangles are 225 sq. cm. 81 sq. cm. If a side of the smaller triangle is 12 cm, then find the corresponding side of the bigger triangle
- The ratio of corresponding sides of similar triangles is 3 ः 5; then find the ratio of their areas.

**2. Pythagoras Theorem**

- Pythagorean triplets
- 30-60-90 and 45-45-90 Property-based problems
- Find the diagonal of a rectangle whose length is 35 cm and breadth is 12 cm.
- Find the diagonal of a square whose length is side is 10 cm.

### 3. Circle

- One tangent-radius theorem based problem
- Two circles having radii 3.5 cm and 4.8 cm touch each other internally. Find the distance between their centers.
- Two circles of radii 5.5 cm and 4.2 cm touch each other externally. Find the distance between their centers.
- One 4 marks problem on an inscribed angle and intercepted arc.
- 3/4 marks problem on cyclic quadrilateral.

### 4. Geometric Constructions

- Triangle construction
- 🔺AMT~🔺AHE. In 🔺AMT, AM=6.3cm, ∟TAM=50
^{0}, AT=5.6, and AM/AH=7/5 then construct 🔺AHE - Construction of a tangent to a circle using the center of the circle.

## 5. Coordinate Geometry

- Find the distance between A(x
_{1}, y_{1}) and B(x_{2}, y_{2)} - Find the coordinates of a point on the Y-axis which is equidistant from M (-5,-2) and N(3,2)
- Determine whether the points are collinear (A, B, and C)
- Show that points A(-4, -7), B(-1, 2), C(8, 5) and D(5, -4) are vertices of a rhombus/rectangle/square/ ABCD
- Midpoint and centroid-based problem.

## 6. Trigonometry

- If sinx =7/25, find the values of cosx and tanx
- One or two proofs
- Three fundamentals identities based proofs or numerical

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