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KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD–32, SAMPLE PAPER 01 FOR SESSION ENDING EXAM (2019-20), SUBJECT: MATHEMATICS, BLUE PRINT FOR SESSION ENDING EXAM: CLASS VIII, MCQ, FIB, VSA, SA-I, SA-II, LA, (1 mark) (1 mark) (1 mark) (2 marks) (3 marks) (4 marks), , Unit/Topic, , Linear equations in one variable, , Total, , 1(1), , 1(1), , --, , --, , --, , 1(4), , 3(6), , Understanding Quadrilaterals, , --, , --, , 1(1), , 1(2), , 1(3), , --, , 3(6), , Data Handlings, , --, , --, , --, , --, , 1(3), , 1(4), , 2(7), , Squares and Square Roots, , 1(1), , --, , 1(1), , --, , 1(3), , --, , 3(5), , Algebraic Expression, , 2(2), , --, , 1(1), , 1(2), , --, , 1(4), , 5(9), , --, , 1(1), , --, , 1(2), , 1(3), , --, , 3(6), , Mensuration, , 1(1), , 1(1), , --, , --, , 1(3), , 1(4), , 4(9), , Exponents and Powers, , 2(2), , 1(1), , 1(1), , 1(2), , --, , --, , 5(6), , Direct and Inverse Proportion, , 1(1), , 1(1), , 1(1), , 1(2), , 1(3), , --, , 5(8), , Factorisation, , 1(1), , --, , --, , 1(2), , 1(3), , 1(4), , 4(10), , Introduction to Graphs, , 1(1), , --, , --, , --, , --, , 1(4), , 2(5), , Playing with Numbers, , --, , --, , --, , --, , 1(3), , --, , 1(3), , 10(10), , 5(5), , 5(5), , 6(12), , 8(24), , 6(24), , 40(80), , Visualizing Solid Shapes, , Total, , Note:, 1) 30% i.e. 24 marks of 1st term syllabus covering significant topics/chapters have taken as per, CBSE guidelines., 2) Numerals inside the bracket indicate marks and outside the bracket indicate the number of, questions, MARKING SCHEME FOR SESSION ENDING EXAM, NO. OF, SECTION, MARKS, TOTAL, QUESTIONS, 1, 10, 10, MCQ, FIB (Fill in the Blank), , 1, , 5, , 05, , VSA, , 1, , 5, , 05, , SA – I, , 2, , 6, , 12, , SA – II, , 3, , 8, , 24, , 6, , 24, 80, , LA, , 4, GRAND TOTAL, , Prepared by: M. S. KumarSwamy, TGT(Maths), , Page - 1 -
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KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD–32, SAMPLE PAPER 01 FOR SESSION ENDING EXAM (2019-20), SUBJECT: MATHEMATICS, CLASS : VIII, , MAX. MARKS : 80, DURATION : 3 HRS, , General Instruction:, (i) All the questions are compulsory., (ii) The question paper consists of 40 questions divided into 4 sections A, B, C, and D., (iii) Section A comprises of 20 questions of 1 mark each. Section B comprises of 6 questions of 2, marks each. Section C comprises of 8 questions of 3 marks each. Section D comprises of 6, questions of 4 marks each., (iv) Use of calculators is not permitted., , SECTION – A, 1. The solution of 2x – 3 = 7 is, (a) 2, (b) –2, , (c) 5, , (d) –5, , 2. What is the smallest square number which is divisible by each of the numbers 6, 9 and 15 ?, (a) 900, (b) 810, (c) 630, (d) 720, 3. What should be value of ‘a’ if y2 + y – a equals to 3 for y=1, (a) –1, (b) –5, (c) 5, 4. The value of expression 2a2 + 2b2 – ab for a=2, b=1is, (a) 2, (b) 8, (c) 6, 5. The perimeter of the below figure is, (a) 11.6 cm, (b) 14.6 cm, , (c) 12.8 cm, , (d) 0, , (d) 10, , (d) none of these, , 6. If the cost of 1 kg of sugar is Rs 18, then what would be the cost of 3 kg sugar?, (a) Rs. 54, (b) Rs. 6, (c) Rs. 18, (d) none of these, 7. The value of (–1)500 is, (a) –1, 1 , 8. The value of , 2 , , (a) 64, , (b) 1, , (c) 0, , (d) none of these, , 6, , is, (b), , 1, 64, , (c), , 1, 64, , (d) 64, , 9. The factors of 2x2 – 7x + 3 are:, (a) (x – 3)(2x – 1), (b) (x + 3)(2x + 1), (c) (x – 3)(2x + 1), (d) (x + 3)(2x – 1), Prepared by: M. S. KumarSwamy, TGT(Maths), , Page - 2 -
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10. If y – coordinate of a point is zero, then this point always lies:, (a) I quadrant, (b) II quadrant, (c) x – axis, (d) y – axis, 11. A worker is paid Rs. 200 for 8 days work. If he works for 20 days, he get _______, 12. The solution of 5t – 3 = 3t – 5 is ______, 13. The vertical cut of a brick will show the cross section is __________, , , , 14. The value of 61 81, , , , 1, , is _______, , 15. The lateral surface area of the cuboids whose dimensions are Length = 22cm, breadth = 12 cm, and height = 7.5 cm is _______, 2, , 2, , 1, 1, 1, 16. Find the value of , 2, 3, 4, , 2, , 17. The consumption of petrol is in in direct proportion with the corresponding distance travelled,, find the value of x, Petrol in litres (x) :, 4, 8, Distance in km (y) :, 60, x, 18. If three angles of a quadrilateral are each equal to 75°, then find the fourth angle., 19. Find the value of, , 288, ., 128, , 20. Find the product : a2(2ab – 5c), SECTION – B, 21. Draw the top view and side view of the given solid:, , 22. Find m so that (–3)m + 1 × (–3)5 = (–3)7, 23. An electric pole, 14 metres high, casts a shadow of 10 metres. Find the height of a tree that casts, a shadow of 15 metres under similar conditions., 24. Factorise (i) 6xy – 4y + 6 – 9x, , (ii) x2 + x y + 8x + 8y, , 25. Simplify: (x2 – 5) (x + 5) + 25, Prepared by: M. S. KumarSwamy, TGT(Maths), , Page - 3 -
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26. The ratio of exterior angle to interior angle of a regular polygon is 1 : 4. Find the number of sides, of the polygon., SECTION – C, 27. Find x in the following figure., , 28. A volleyball court is in a rectangular shape and its dimensions are directly proportional to the, dimensions of the swimming pool given below. Find the width of the pool., , 29. Factorise: (i) 4p2 – 9q2 (ii) a4 + 2a2b2 + b4., 30. The shape of a garden is rectangular in the middle and semi circular at the ends as shown in the, diagram. Find the area and the perimeter of this garden, , 31. Numbers 1 to 20 are written on ten separate slips (one number on one slip), kept in a box and, mixed well. One slip is chosen from the box without looking into it. What is the probability of, (i) getting a number less than 6?, (ii) getting a number greater than 6?, (iii) getting a 1-digit number?, 32. Under Clean and Green school project, a school planted 6200 plants in the school. School, wanted to plant in such a way that each row contains as many plants as the number of rows., On checking they found that the number of rows and the number of plants are not equal. What is, the least number that should be added to 6200 to make it a perfect square? Find the number of, rows and the number of plants in each row., Prepared by: M. S. KumarSwamy, TGT(Maths), , Page - 4 -
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33. Verify Euler’s formula for these solids:, , 34. Find the values of the letters in the following:, 4A, + 98, CB3, SECTION – D, 35. Lakshmi is a cashier in a bank. She has notes of denominations of Rs.100, 50 and 10, respectively. The ratio of number of these notes is 2:3:5 respectively. The total cash with, Lakshmi is 4,00,000. How many notes of each denomination does she have?, 36. Draw a pie chart of the data given below. The time spent by a child during a day., Sleep, – 8 hours, School, – 6 hours, Home work – 4 hours, Play, – 4 hours, Others, – 2 hours, 37. Use suitable Identity to find the following:, (i) 501 × 502, (ii) 992, 38. Find the area of the following fields. All dimensions are in metres., , Prepared by: M. S. KumarSwamy, TGT(Maths), , Page - 5 -
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39. The following table gives the quantity of petrol and its cost., No. of Litres of petrol, Cost of petrol in Rs, , 10, 500, , 15, 750, , 20, 1000, , 25, 1250, , Plot a graph to show the data., 40. (a) Divide z(5z2 – 80) by 5z(z + 4), (b) Factorise the expressions and divide as directed: (y2 + 7y + 10) (y + 5), , Prepared by: M. S. KumarSwamy, TGT(Maths), , Page - 6 -