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Prepared by: M. S. KumarSwamy, TGT(Maths)                         Page - 1 - 
KENDRIYA VIDYALAYA GACHIBOWLI, HYDERABAD – 32  
SAMPLE PAPER 01 FOR SA – I (2015-16) 
SUBJECT: MATHEMATICS 
BLUE PRINT : SA-I CLASS VIII 
 
 
Unit/Topic VSA 
(1 mark) 
Short answer  
(2 marks) 
Short answer 
(3 marks) 
Long answer 
(4 marks) 
Total 
Rational Numbers 1(1) 1(2) 1(3) -- 3(6) 
Linear equations in 
one variable 
1(1) -- 1(3) 1(4) 3(8) 
Understanding 
Quadrilaterals 
2(2) 1(2) 1(3) -- 4(7) 
Practical Geometry -- -- 1(3) 1(4) 2(7) 
Data Handlings 1(1) 1(2) 1(3) 1(4) 4(10) 
Squares and Square 
Roots 
1(1) 1(2) 1(3) -- 3(6) 
Cubes and Cube 
Roots 
-- 1(2) 1(3) -- 2(5) 
Comparing Quantities 2(2) 1(2) 1(3) 1(4) 5(11) 
Total 8(8) 6(12) 8(24) 4(16) 26(60) 
 
 
MARKING SCHEME FOR SA – I 
  
SECTION MARKS 
NO. OF 
QUESTIONS 
TOTAL 
VSA 1 8 08 
SA – I 2 6 12 
SA – II 3 8 24 
LA 4 4 16 
GRAND TOTAL 60 
 
 
 
Page 2


Prepared by: M. S. KumarSwamy, TGT(Maths)                         Page - 1 - 
KENDRIYA VIDYALAYA GACHIBOWLI, HYDERABAD – 32  
SAMPLE PAPER 01 FOR SA – I (2015-16) 
SUBJECT: MATHEMATICS 
BLUE PRINT : SA-I CLASS VIII 
 
 
Unit/Topic VSA 
(1 mark) 
Short answer  
(2 marks) 
Short answer 
(3 marks) 
Long answer 
(4 marks) 
Total 
Rational Numbers 1(1) 1(2) 1(3) -- 3(6) 
Linear equations in 
one variable 
1(1) -- 1(3) 1(4) 3(8) 
Understanding 
Quadrilaterals 
2(2) 1(2) 1(3) -- 4(7) 
Practical Geometry -- -- 1(3) 1(4) 2(7) 
Data Handlings 1(1) 1(2) 1(3) 1(4) 4(10) 
Squares and Square 
Roots 
1(1) 1(2) 1(3) -- 3(6) 
Cubes and Cube 
Roots 
-- 1(2) 1(3) -- 2(5) 
Comparing Quantities 2(2) 1(2) 1(3) 1(4) 5(11) 
Total 8(8) 6(12) 8(24) 4(16) 26(60) 
 
 
MARKING SCHEME FOR SA – I 
  
SECTION MARKS 
NO. OF 
QUESTIONS 
TOTAL 
VSA 1 8 08 
SA – I 2 6 12 
SA – II 3 8 24 
LA 4 4 16 
GRAND TOTAL 60 
 
 
 
Prepared by: M. S. KumarSwamy, TGT(Maths)                         Page - 2 - 
KENDRIYA VIDYALAYA GACHIBOWLI, HYDERABAD – 32 
SAMPLE PAPER 01 FOR SA – I (2015-16) 
 
SUBJECT: MATHEMATICS      MAX. MARKS : 60 
CLASS : VIII       DURATION : 2½ HRS  
General Instructions: 
1. All questions are compulsory. 
2. Question paper is divided into four sections: Section A consists 8 questions each carry 1 marks, 
Sections B consists 6 questions each carry 2 marks, Sections C consists 8 questions each carry 3 
marks and Sections D consists 4 questions each carry 4 marks 
 
SECTION – A 
1. Write the additive inverse of 
7
19
?
. 
2. Find the solution of 2x – 3 = 7. 
 
3. State the name of a regular polygon of 6 sides. 
 
4. Find x in the adjoining figure: 
 
5. Find the square of the number 32. 
 
6. An item marked at Rs 840 is sold for Rs 714. What is the discount %? 
 
7. 72% of 25 students are good in mathematics. How many are not good in mathematics? 
 
8. A bag has 4 red balls and 2 yellow balls. (The balls are identical in all respects other than 
colour). A ball is drawn from the bag without looking into the bag. What is probability of getting 
a red ball? 
SECTION – B 
9. Find two rational numbers between 
3
5
 and 
3
4
. 
10. Find the number of sides of a regular polygon whose each exterior angle has a measure of 45°. 
 
11. Find the cube root of 13824 by prime factorisation method. 
 
12. Find the smallest square number which is divisible by each of the numbers 6, 9 and 15. 
 
13. The price of a scooter was Rs 34,000 last year. It has increased by 20% this year. What is the 
price now? 
 
14. The weekly wages (in Rs) of 30 workers in a factory are.  
 
830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 
840, 885, 835, 835, 836, 878, 840, 868, 890, 806, 840  
 
Using tally marks make a frequency table with intervals as 800–810, 810–820 and so on. 
 
Page 3


Prepared by: M. S. KumarSwamy, TGT(Maths)                         Page - 1 - 
KENDRIYA VIDYALAYA GACHIBOWLI, HYDERABAD – 32  
SAMPLE PAPER 01 FOR SA – I (2015-16) 
SUBJECT: MATHEMATICS 
BLUE PRINT : SA-I CLASS VIII 
 
 
Unit/Topic VSA 
(1 mark) 
Short answer  
(2 marks) 
Short answer 
(3 marks) 
Long answer 
(4 marks) 
Total 
Rational Numbers 1(1) 1(2) 1(3) -- 3(6) 
Linear equations in 
one variable 
1(1) -- 1(3) 1(4) 3(8) 
Understanding 
Quadrilaterals 
2(2) 1(2) 1(3) -- 4(7) 
Practical Geometry -- -- 1(3) 1(4) 2(7) 
Data Handlings 1(1) 1(2) 1(3) 1(4) 4(10) 
Squares and Square 
Roots 
1(1) 1(2) 1(3) -- 3(6) 
Cubes and Cube 
Roots 
-- 1(2) 1(3) -- 2(5) 
Comparing Quantities 2(2) 1(2) 1(3) 1(4) 5(11) 
Total 8(8) 6(12) 8(24) 4(16) 26(60) 
 
 
MARKING SCHEME FOR SA – I 
  
SECTION MARKS 
NO. OF 
QUESTIONS 
TOTAL 
VSA 1 8 08 
SA – I 2 6 12 
SA – II 3 8 24 
LA 4 4 16 
GRAND TOTAL 60 
 
 
 
Prepared by: M. S. KumarSwamy, TGT(Maths)                         Page - 2 - 
KENDRIYA VIDYALAYA GACHIBOWLI, HYDERABAD – 32 
SAMPLE PAPER 01 FOR SA – I (2015-16) 
 
SUBJECT: MATHEMATICS      MAX. MARKS : 60 
CLASS : VIII       DURATION : 2½ HRS  
General Instructions: 
1. All questions are compulsory. 
2. Question paper is divided into four sections: Section A consists 8 questions each carry 1 marks, 
Sections B consists 6 questions each carry 2 marks, Sections C consists 8 questions each carry 3 
marks and Sections D consists 4 questions each carry 4 marks 
 
SECTION – A 
1. Write the additive inverse of 
7
19
?
. 
2. Find the solution of 2x – 3 = 7. 
 
3. State the name of a regular polygon of 6 sides. 
 
4. Find x in the adjoining figure: 
 
5. Find the square of the number 32. 
 
6. An item marked at Rs 840 is sold for Rs 714. What is the discount %? 
 
7. 72% of 25 students are good in mathematics. How many are not good in mathematics? 
 
8. A bag has 4 red balls and 2 yellow balls. (The balls are identical in all respects other than 
colour). A ball is drawn from the bag without looking into the bag. What is probability of getting 
a red ball? 
SECTION – B 
9. Find two rational numbers between 
3
5
 and 
3
4
. 
10. Find the number of sides of a regular polygon whose each exterior angle has a measure of 45°. 
 
11. Find the cube root of 13824 by prime factorisation method. 
 
12. Find the smallest square number which is divisible by each of the numbers 6, 9 and 15. 
 
13. The price of a scooter was Rs 34,000 last year. It has increased by 20% this year. What is the 
price now? 
 
14. The weekly wages (in Rs) of 30 workers in a factory are.  
 
830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 
840, 885, 835, 835, 836, 878, 840, 868, 890, 806, 840  
 
Using tally marks make a frequency table with intervals as 800–810, 810–820 and so on. 
 
Prepared by: M. S. KumarSwamy, TGT(Maths)                         Page - 3 - 
SECTION – C 
15. Represent these numbers on the number line:
7 5 3
( ) ( ) ( )
4 6 5
i ii iii
?
     
 
16. Construct a quadrilateral PQRS where PQ = 4 cm,QR = 6 cm, RS = 5 cm, PS = 5.5 cm and PR = 
7 cm. 
 
17. Find CI on Rs 12600 for 2 years at 10% per annum compounded annually. 
 
18. Solve: 
1 3
2 3 8
x
x
?
?
?
 
 
19. Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5 cm. How many such cuboids will 
he need to form a cube? 
 
20. In a parallelogram RING, (see below Figure) if m ?R = 70°, find all the other angles. 
 
21. The number of hours for which students of a particular class watched television during holidays 
is shown through the given graph.  
Answer the following.  
(i) For how many hours did the maximum number of students watch TV?  
(ii) How many students watched TV for less than 4 hours?  
(iii) How many students spent more than 5 hours in watching TV? 
 
 
22. 2025 plants are to be planted in a garden in such a way that each row contains as many plants as 
the number of rows. Find the number of rows and the number of plants in each row. 
 
Page 4


Prepared by: M. S. KumarSwamy, TGT(Maths)                         Page - 1 - 
KENDRIYA VIDYALAYA GACHIBOWLI, HYDERABAD – 32  
SAMPLE PAPER 01 FOR SA – I (2015-16) 
SUBJECT: MATHEMATICS 
BLUE PRINT : SA-I CLASS VIII 
 
 
Unit/Topic VSA 
(1 mark) 
Short answer  
(2 marks) 
Short answer 
(3 marks) 
Long answer 
(4 marks) 
Total 
Rational Numbers 1(1) 1(2) 1(3) -- 3(6) 
Linear equations in 
one variable 
1(1) -- 1(3) 1(4) 3(8) 
Understanding 
Quadrilaterals 
2(2) 1(2) 1(3) -- 4(7) 
Practical Geometry -- -- 1(3) 1(4) 2(7) 
Data Handlings 1(1) 1(2) 1(3) 1(4) 4(10) 
Squares and Square 
Roots 
1(1) 1(2) 1(3) -- 3(6) 
Cubes and Cube 
Roots 
-- 1(2) 1(3) -- 2(5) 
Comparing Quantities 2(2) 1(2) 1(3) 1(4) 5(11) 
Total 8(8) 6(12) 8(24) 4(16) 26(60) 
 
 
MARKING SCHEME FOR SA – I 
  
SECTION MARKS 
NO. OF 
QUESTIONS 
TOTAL 
VSA 1 8 08 
SA – I 2 6 12 
SA – II 3 8 24 
LA 4 4 16 
GRAND TOTAL 60 
 
 
 
Prepared by: M. S. KumarSwamy, TGT(Maths)                         Page - 2 - 
KENDRIYA VIDYALAYA GACHIBOWLI, HYDERABAD – 32 
SAMPLE PAPER 01 FOR SA – I (2015-16) 
 
SUBJECT: MATHEMATICS      MAX. MARKS : 60 
CLASS : VIII       DURATION : 2½ HRS  
General Instructions: 
1. All questions are compulsory. 
2. Question paper is divided into four sections: Section A consists 8 questions each carry 1 marks, 
Sections B consists 6 questions each carry 2 marks, Sections C consists 8 questions each carry 3 
marks and Sections D consists 4 questions each carry 4 marks 
 
SECTION – A 
1. Write the additive inverse of 
7
19
?
. 
2. Find the solution of 2x – 3 = 7. 
 
3. State the name of a regular polygon of 6 sides. 
 
4. Find x in the adjoining figure: 
 
5. Find the square of the number 32. 
 
6. An item marked at Rs 840 is sold for Rs 714. What is the discount %? 
 
7. 72% of 25 students are good in mathematics. How many are not good in mathematics? 
 
8. A bag has 4 red balls and 2 yellow balls. (The balls are identical in all respects other than 
colour). A ball is drawn from the bag without looking into the bag. What is probability of getting 
a red ball? 
SECTION – B 
9. Find two rational numbers between 
3
5
 and 
3
4
. 
10. Find the number of sides of a regular polygon whose each exterior angle has a measure of 45°. 
 
11. Find the cube root of 13824 by prime factorisation method. 
 
12. Find the smallest square number which is divisible by each of the numbers 6, 9 and 15. 
 
13. The price of a scooter was Rs 34,000 last year. It has increased by 20% this year. What is the 
price now? 
 
14. The weekly wages (in Rs) of 30 workers in a factory are.  
 
830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 
840, 885, 835, 835, 836, 878, 840, 868, 890, 806, 840  
 
Using tally marks make a frequency table with intervals as 800–810, 810–820 and so on. 
 
Prepared by: M. S. KumarSwamy, TGT(Maths)                         Page - 3 - 
SECTION – C 
15. Represent these numbers on the number line:
7 5 3
( ) ( ) ( )
4 6 5
i ii iii
?
     
 
16. Construct a quadrilateral PQRS where PQ = 4 cm,QR = 6 cm, RS = 5 cm, PS = 5.5 cm and PR = 
7 cm. 
 
17. Find CI on Rs 12600 for 2 years at 10% per annum compounded annually. 
 
18. Solve: 
1 3
2 3 8
x
x
?
?
?
 
 
19. Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5 cm. How many such cuboids will 
he need to form a cube? 
 
20. In a parallelogram RING, (see below Figure) if m ?R = 70°, find all the other angles. 
 
21. The number of hours for which students of a particular class watched television during holidays 
is shown through the given graph.  
Answer the following.  
(i) For how many hours did the maximum number of students watch TV?  
(ii) How many students watched TV for less than 4 hours?  
(iii) How many students spent more than 5 hours in watching TV? 
 
 
22. 2025 plants are to be planted in a garden in such a way that each row contains as many plants as 
the number of rows. Find the number of rows and the number of plants in each row. 
 
Prepared by: M. S. KumarSwamy, TGT(Maths)                         Page - 4 - 
SECTION – D 
23. The digits of a two-digit number differ by 3. If the digits are interchanged, and the resulting 
number is added to the original number, we get 143. What can be the original number? 
 
24. Construct a quadrilateral ABCD, where AB = 4 cm, BC = 5 cm, CD = 6.5 cm and ?B = 105° 
and ?C = 80°. 
 
25. The population of a place increased to 54,000 in 2003 at a rate of 5% per annum  
(i) Find the population in 2001.  
(ii) What would be its population in 2005?  
(iii) Write any two effects of high populations? 
 
26. A group of 360 people were asked to vote for their favourite season from the three seasons rainy, 
winter and summer.  
(i) Which season got the most votes?  
(ii) Find the central angle of each sector.  
(iii) Draw a pie chart to show this information.

FAQs on Maths class 8

1. What are the basic geometric shapes covered in Class 8 Maths?

Ans. In Class 8 Maths, the basic geometric shapes covered are points, lines, line segments, rays, angles, triangles, quadrilaterals, circles, and polygons.

2. How do we identify different types of triangles in Class 8 Maths?

Ans. In Class 8 Maths, we can identify different types of triangles based on their sides and angles. Triangles can be classified as equilateral (all sides and angles are equal), isosceles (two sides and two angles are equal), scalene (none of the sides or angles are equal), acute (all angles are less than 90 degrees), obtuse (one angle is greater than 90 degrees), or right-angled (one angle is exactly 90 degrees).

3. What is the Pythagorean Theorem and how is it used in Class 8 Maths?

Ans. The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This theorem is used in Class 8 Maths to solve problems related to right-angled triangles, such as finding the length of a side when the lengths of the other two sides are known.

4. How do we calculate the area of a circle in Class 8 Maths?

Ans. In Class 8 Maths, the area of a circle is calculated using the formula A = πr^2, where A represents the area and r represents the radius of the circle. The value of π is approximately 3.14. To find the area, square the radius and multiply it by π.

5. How can we determine if a quadrilateral is a parallelogram in Class 8 Maths?

Ans. In Class 8 Maths, a quadrilateral can be identified as a parallelogram if both pairs of opposite sides are parallel. Additionally, if one pair of opposite sides is parallel and the opposite sides are equal in length, then the quadrilateral is also a parallelogram.

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