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Class 8 CBSE Notes 2017 : Mathematics (South Point High School (SPHS), Kolkata)

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Aditya Kanjilal
South Point High School (SPHS), Kolkata

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CCE-15-SA-II-Class-7 -Maths-Ouestion Paper SECTION A (lx15=15) I. The ratio of 3 kg. to I kg. 500 g. in the simplest form is (a)J:5 (b)5:J (c)2:1 (d) 1:2 2. 30% of which of the following is 9? (a) 270 (b) 900 (c) 30 .., .:>. 4. (d) 60 If c.P. = Rs.I 0,000. P% = 20. S.P. = (a) Rs. 12,000- (b) Rs. 10.020 (c) Rs. 10,200 The additive inverse of =: . (d) Rs. 10.002 is 5 (a)~ (b)~ 4 5 5. The height (a) 21 cm. (c) -5 (d) ~ 4 -5 of a parallelogram with area 42 cm~ and base 7 cm. is (b) 12 ern. (c) 3 ern. 6. The .., circumference of a circle whose diameter is ~IOcm. is ~ (a).:>1.4cm(b) 31.4 em. (c)314cm(d)314cm. 7. The number (a) 200 8. Subtracting (a)-3x2 9. - 1 The expression (a) monomial - 1 from (b) -3X2 The value of the expression (a) J 2 (b) 8 II. The value of (100) is (a)O (b)-l 12. 13. 14. 15. 0 we get +1 5-3t is a (b) binomial 10. The standard form of25730 (a) 257.3x 102 (b) 25.73x when n +1 (d) ) 3x2 (c) trinomial (d) none (c) 3x2 = (d) 100 X The angle of rotation of an equilateral triangle (a) 60 (b) 120 (c) 180(1 is 103 . (d) 2.573 x 104 (d) 2700 Which of the following has only one axis of symmetry (a) a rectangle (b) a square (c) a semi-circle each of edge 3cm is joined (b) 6 ern. 1 in 5n - 2.is (c) - J 2 (d) - 8 (c) I is 103 - -2 (c) 2.573 Two cubes (a) 3 ern. . 28cm must rotate to go 352 m. is (d) 250 of times a wheel of radius (b) 20 (c) 2000 -3x2 (d) 6 cm. face to face. The breadth (c) 9 em. (d) an equilateral triangle of the solid so formed is (d) none. 2 33. The cost of25 chairs is 36000. (i) Find the cost of 12 such chairs. t ii) How many chairs can be bought for Rs 14400? 3-L The area of a triangular field is equal to that of a square field whose each side measures 70 m. Find the side of a triangle whose corresponding altitude is 98m. 35. Write the number of rotational symmetries of the following figures. Also give the order of rotation and the angle of rotation. (i) equilateral triangle (ii) square 36. Do as directed: 37. (i) (ii) Find the ratio of3 days to 40 hours Convert 4025 % into fraction. (iii) Convert- S 16 . mto percentage. ~ Find the value of the following: (i) (ii i) (ii) (4X5=20) SECTION-D 38 (i) In what time will Rs. 1860 amount to Rs. 2278.50. if simple interest is calculated at 9 0 per annum? (ii) Convert the following into percentages. (a) 1 0.89 (b) 3:4 (c) 5 12.67 (d) 167)-2 (1;) -2 _ (_;) 2 _ (;) 2 39. SimPlifY{ _ X 40. Construct a right angled triangle PQR with hypotenuse PR Draw the perpendicular = 8 em and QR = 7 em, bisector of the hypotenuse meeting it at O. With 0 as the centre and OP as the radius draw a circle. Does it pass through the other two vertices? 41. A piece of land is 240 m. long and 120 m. wide, has two roads in its centre of equal width 2.5 m. One road ~ parallel to length and other is parallel to its width.nd the area of roads and also find the cost of cementing the roads at the rate of Rs 100 per square metre. 42.. (i) Find the value of X2 if x (ii) = - 1, y = ~ + y2 + Z2 and z - xy - yz - zx =-3 The number of diagonals of a polygon of 11 sides is n(n -3) 2 Find the number of diagonals of a polygon of 15 sides. 4 SECTION B 16. Out of720 people. 450 of them voted. What percentage of people voted? 17. Represent 18. The product of two rational numbers is 19. The circumference 20. Identify like terms. -3a2b, 21. 4 -8 . 9 If one of the rational number is -17. 6 then find the other. of a circle is 88 ern. Find its area. 4ab, 7ab2, -52 a2b, -3b2a, 9ba, -4a2b2, -7b2a2 Add: x + y - 7, ,.., ~ on the number line. Y - x + 3, x - Y+4 Express 216 as a product of powers of their prime factors. Express in exponential notation. (i) a x a x a x a x b x b x a (ii) 5 x 5 x P x P x q x q x q 24. Name two letters of the English alphabet which has vertical line symmetry. ~5. What cross-section (i) a die 26. Draw the net of a cuboid. do you get when you give a vertical cut to (ii) a marble SECTION -C (3Xll=33) 27. A man borrowed Rs. 700000 from a bank for 3 years at 18% p.a. Find the interest and the amount he will have to pay after the stipulated time. 28. By selling an article for Rs. 4500, a man lost 25%. Find the cost price of the article. 29. Simplify: 3U. For what value of k. we have 31. From the sum of 5x 3)' + 9. 3~. Construct L\MAT in which MA TS from T to MA. -+- - (-14 25 + 1) 5 1) +(-33 50 ) - (2---x5 20 '2'5 -66 7X2 + (5 - k)x 7)' - 12 and 3x- 5y = 6 ern, AT = =- 4, given tha +2 =-2 subtract the sum of 2x- 7y- 1 and - 6x 5.5 em and MT = + 4.8 em. Draw a perpendicular 3

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