### CBSE Mathematics Class VIII | Sample Paper -1 |

### Class-VIII

### Time: 3 hour

#### Subject- Mathematics M.M.-80

All questions are compulsory.

- Multiple choice question-

- A bat is bought for 120 and sold for 105. Loss percent is.
- 15% b- 12 % c- 16 d- 14%
- 5 % of 0 number is 9. The number is
- 45 b- 90 c- 135 d- 180
- If 5t – 3 = 3t – 5, then t = ?
- 1 b- -1 c- 2 d- -2
- 2 – 50x
^{3}= ? - 2(1-5x)
^{2}c- (1+5x)^{2 } - (2-5x) (2+5x) d- 2 (1-5x) (1+5x)
- (82)
^{2}– (18)^{2}= ? - 8218 b- 6418 c- 6400 d- 7204
- If 5×6 is exactly divisible by 3 , then the least value of x is,
- 0 b- 1 c- 2 d- 3

100 b- 40 c- 20 d- 30

- Which of the following numbers is not a perfect square?
- 1444 b- 3136 c- 961 d- 2222
- A die is thrown , what is the probability of getting an even Number?
- b- c- d-
- In Which of the following quadrants does the point (-7, -1) lie ?

- I b- II c- III d- IV

- 2 Marks each question-

- Find the gain and loss percent when CP = 675 and SP = 630.
- Express 125% as a ratio.
- Solve : 5x + 7 = 2x-8
- Find products : (3x
^{2}+ 5x – 9) x (3x-5) - Evaluate : ()
^{3}

- 3 marks each question-

- Manjit brought an iron safe for 5580 and paid 170 for its transportation. Then he sold it for Find the gain percent earned by him.
- Find 4% of 3600.
- If 16% of a number is 72, find the number.
- of a number is 20 less than the original number. Find the number.
- The two adjacent sides of a rectangle are 5x
^{2}-3y^{2}and x^{2}+2xy. Find the perimeter. - The unit digit of a two digit number is 3 and seven times the sum of the digits is the number itself. Find the number.
- Write a Pythagorean triplet whose smallest member is 14.
- Find the least number which must be subtracted from 7581 to obtain a perfect square.
- A coin is tossed . what are all possible outcomes.
- Two coin are tossed Simultaneously . what are all possible outcomes.

- Write true and False-

- (5-3x
^{2}) is a binomial. - -8 is a monomial.
- 2x-5 = 0 = x =

- 6 marks each question-

- The height of mount Everest is 8848m. write it in standard form the speed of light is 300000000 m/sec. Express it in standard form.
- Factorise-
- X
^{2}+ 8x+16 b- y^{2}+10y+24 - If (x+) = 4 find the values of (i) (x
^{2}+ ) and (ii) (x^{4}+ ). - Draw the graph of the function p = 4x
- From the graph find the value of P, when

- x = 3 ii) x = 4 iii) x = 6

- Fill in the blanks-

- The square of an even number is ……………………
- The square of an odd number is ……………………
- The square of a proper fraction is ………………….
- N
^{2}= the sum of first n ………………… natural numbers. - = ……………………
- 1+3+5+7+9+11+13 = (………)
^{2}