Vikas Bharati Public School SAMPLE PAPER (Session 2018-19) Class: VIII Time : Hrs. Subject: MATHEMATICS M.M. = 80 Note: 1. This question paper contains_5_ printed pages. 2. Blue-Print on last page. SECTION-A 1. If =99 then find the value of. 1 2. Find the value of 125 + 52. 1. Find the digits A, B and C. 1. Find the range of the data: 6,1,20,16,6,5,,18,25,15, and 5. 1 5. Two year ago my age was x years, then what was my age 5 years ago? 1 6. How many rational numbers lie between 0 and -1? 1 SECTION-B 7. If the cube root of 70969 is 89 then find the cube root of 70.969 2 8. If 2x5 is a multiple of 9 and x is a digit, then find the value of x. 2 9. Divide 0 into two parts such that 1/th of one part is /8th of the other. 2 10. Simplify: 2 11. A die is thrown. What is the probability of getting: (i) an even number? (ii) A number between and 6? 12. Write. (i) The rational number that does not have any reciprocal at all. (ii) The rational number that is equal to its negative. 2 2 SECTION-C 1. The area of a square plot is 20 m 2. Find the side of the square. 1. In a quadrilateral ABCD, the angles A, B, C and D are in the ratio 1: 2: :. Find the measure of each angle of the quadrilateral. The measures of two adjacent angles of a parallelogram are in the ratio : 5. Find the measure of 1 P.T.O
each of the angles of the parallelogram. 15. a) Represent the rational number 1.8 on the number line. b) What should be subtracted from thrice the rational number to get? 16. The given pie-chart represents the amount spent on different sports by a school administration in a year. If the total money spent on football is ` 10,000, answer the following questions : (i) What is the amount spent on sports? (ii) How much more money is spent on cricket than hockey? (iii) How much money is spent on basketball? The marks scored by 20 students in a test are given below: 8, 57, 5, 89, 1, 57, 7, 6, 58,, 5, 72, 51, 78, 71, 62, 56, 68, 5, 2 Complete the following frequency table: (i) What is the upper limit of 0 50? (ii) What is the upper limit of 70 80? (iii) What is the class size? 17. What is the smallest number by which 087 must be divided so that the quotient is a perfect cube? Also find the cube root of the resulting number. 18. The present of Sita s father is three times the present age of Sita. After six years sum of their ages will be 69 years. Find their present ages. The digits of a two-digit number differ by. If digits are interchanged and the resulting number is added to the original number, we get 121. Find the original number. 19. Evaluate: ( 5-1 8 2 ) ( 2-10 -1 ) 2 P.T.O
20. a) The volume of a cube is 17.576cm. Find the length of an edge of the cube. b) What least number should be multiplied to 1719 to get a perfect cube? 21. The number of students admitted in different faculties of a college are given below. Represent the above information by a pie-chart. 22. Using division method, find the square root of 256.60 Simplify: ) SECTION-D 2. Solve: 2. If 5 x+1 5 x = 500 then find the value of x. Simplify and express the result as a rational number. 25. 100 students are sitting in a lecture room in such a manner that there are as many students in a row as there are rows in a lecture room. How many students are there in each row of a lecture room? 26. The adjacent figure HOPE is a parallelogram. Find the angle measure x, y and z. State the properties you use to find them. Find value of x and y in the following figure where ABCD is a parallelogram. P.T.O
27. A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is : (i) a face card (ii) a black card (iii) other than an ace (iv) a red king 28. Solve the following equation for p. Solve: 2 (p 1) [p (1 p)] = p - 7 2 2 29. The pulse rate (per minute) of 0 persons was recorded as 61 76 72 7 71 66 78 7 68 81 78 6 72 75 80 68 75 62 71 81 7 60 79 72 7 7 71 6 76 71 Construct a frequency table using class intervals 60-65, 65-70 etc. Draw histogram also. 0. a) If the diagonals of a rhombus are 10cm and 2cm. Find the length of the side of the rhombus. C D A B b) Diagonal QS of rhombus PQRS is equal to one of its side RS. Find the angles of the rhombus PQRS. S R P Q Q P.T.O
BLUE-PRINT CLASS: VIII MATHEMATICS Marks 1Mark 2 Marks Marks Marks Total Chapters Ques. Ques. Ques. Ques. Marks Rational Number 1 1 1 6 Linear Equation in 1 1 2 2 17 One Variable Understanding 1 2 11 Quadrilaterals Data Handling 1 1 2 2 17 Squares and Square 1 2 1 11 Roots Cubes and Cube 1 1 5 Roots Exponents and 1 1 1 1 10 Power Playing with 1 1 Numbers Total Marks 6 12 0 2 80 Note: Internal Choice in sections where students have to attempt only one question. questions of marks, in section C. questions of marks, in section D. 5 P.T.O