# CLASS 10 MATHS SAMPLE PAPER PDF

## CBSE CLASS 10 MATH SAMPLE PAPER

Hello students I am Bijoy and welcome to our educational forum. And today we discuss about **class 10 maths sample paper**, in this section we will see solution hints and at the end download the sample paper.

This is the official **NCERT sample paper** by **CBSE**. Students now I am giving official paper and our official sample paper coming soon by **jeewithbijoy.**

Before starts solving the sample paper, covered that topics which mentioned in below with the hints. That’s help you to learning the mathematics properly

So let’s start the discussion about **ncert class 10 mathematics sample paper**

**Question based upon the topics and Hints**

**VSA: 1 mark**

1. Application of finding n – th term of an A.P , Use t_{n} = a + ( n-1 )·d [where a = first term, d = common difference ]

2. Question no 2.0 is the application of **Height and Distance**, where given the ratio of Base and Height is √3:1 , hence you can use cotθ = √3:1.

3. In question no 3.0 you have to find the **surface area** of a cone.

Hints : First find radius of base of the given cone then apply pythagoras theorem.

4. Hints : **Area of triangle** given by Δ = 1/2 | x_{1} ( y_{2} – y_{1} ) + x_{2} ( y_{3} – y_{1} ) + x_{3} ( y_{1} – y_{2} ) | sq^{2} unit.

**NCERT CLASS 10 MATHS SAMPLE PAPER PDF**

**SA – I : 2 MARKS**

1. Finding the roots of a given **quadratic equation**.

Hints : Use Shreedhar Acharya’ formula

2. Finding the n – th term of an A.P

Hints : Find common difference -11 – (-8) = – 3,

Then use, t_{n} = a + (n-1).d and put t_{n} =49, then find the value of t_{n-4}

3. In the question no 3.0 just use theorem.

4. Finding the area of a required sector.

Hints : Area of a sector given by A_{θ} = ½ (θ r^{2})

5. Just use theorem of **probability**

Hints : Probability = no of chance to outcomes/ total no of events

6. In question no 6.0 has given coin tossing problem in **probability**, hence use same formula. In this case total no of events is 4 and outcomes are 2.

**CLASS 10 SAMPLE PAPER IN PDF**

**SA – II : 3 MARKS**

1. In this question has given a **quadratic equation** in rational form.

Hints : first reduce in quadratic form and then use Shreedhar Acharya’s formula.

2. Hints : First find common difference, then use formula of t_{n} = a + ( n-1 ).d. Now find the value of ‘n’

3. The question no 3.0 is the application of geometry.

Hints : Just follow the steps, first draw two **perpendicular** from R to O and Q to O respectively. Hence ∠MRO = ∠LQO= 90^{0} and then find ∠SQO and ∠SRO then add ∠SOR and ∠SRO and minus from 180 that will be yours answer.

4. Application of Height and Distance.

Hints : Use this diagram

5. Finding the **area of a sector**

Hints : use A_{θ} = 1/2 (θ r^{2})

6. Find the **area of a circle**, A = π·r^{2} In this case you have to find area of the path.

Hints : first find the area of the Pond without Path A_{1}, then add the radius and width of path and now find total area A_{2} . Then do A_{2} -A_{1} you get area of path.

7. Hints : Find the total **area of Cylinder** A_{1} then find the area of two cones A_{2} and A_{3} , now add them A_{1}+A_{2}+A_{3}. That will be your answer.

8. Hints : First compare the **surface area of sphere** with 5 times of **surface area of Cone** ( A_{1}= 5·A_{2} ), now you get an equation and find the height of cone from this equation. Then use V = 1⁄3 ×π×r^{2}×h.

9. Hints : Apply divisional or inter sectional formula both Internally and Externally one by one and use m=1, n=1.

10. Question no 10 is the application of coordinate geometry.

Hints: Write a second degree equation of Circle with the help of any one point ( ) then put the value of x and y from another point.

**LA : 4 MARKS**

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**CLASS 10TH RELATED TOPICS**