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Grade 6

Grade 6. A plateau is 300 m high. A missile was fired from the plateau towards a hill in the distance. The missile rose 450 m into the air and then descended 250 m to strike the top of the hill. What is the height of the hill above the ground level? a) 500 m b) 200 m c) 300 m d) 150 m.

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Grade 6

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  1. Grade 6

  2. A plateau is 300 m high. A missile was fired from the plateau towards a hill in the distance. The missile rose 450 m into the air and then descended 250 m to strike the top of the hill. What is the height of the hill above the ground level? a)500 m b)200 m c)300 m d)150 m

  3. A frog tries to climb up a well from the bottom which is slippery. It climbs up 8 cm in one second. After 4 seconds it starts slipping down by 6 cm every second. Where will it be after 5 seconds? • 46 cm under water • 34 cm above water • 32 cm above water • None of the above

  4. John buys 16.5 m of cloth A and 20.75 m of cloth B for furnishing the house. What is the total length of the cloth he buys? • 32.75 m • 35.72 m • 37.25 m • 32.57 m

  5. Mike had $ 80. He wanted to buy note books which were costing $ 3.75. How many could he buy and how much money is left with him? • 21 books, $ 3 • 21 books, $ 1.25 • 12 books, $ 1.25 • 21 books, no money left

  6. Which of the following numbers is not divisible by 3 and 37? • 325 • 888 • 555 • 444

  7. In which of the following examples has prime factorization been done correctly? • 24 = 8  3 • 56 = 7  8 • 48 = 2  2  2  2  3 • 36 = 3  3  4

  8. G.C.F of two numbers is 11 and their L. C. M is 693. If one of the numbers is 77, find the other number. • 99 • 66 • 33 • 44

  9. Which of the following fractions are equivalent to –3/5? • -6/10 • -6/15 • -11/20 • 9/ 20

  10. A teacher takes a few sheets of equal sized paper and cuts each of them into 4 equal parts. She writes ¼ on each piece. Then 5/4 of one such piece contains, • 1 whole sheet + 1/4 • 1 whole sheet + 2/4 • 1 whole sheet + 3/4 • None of the above

  11. Robert bought 14 pens for $ 2½ each and 6 pencils for $ 1¼ each. If Robert gives $ 50 to the shop keeper, how much will he get back as balance? • $ 5.7 • $ 7.5 • $ 8 • $ 7

  12. The total property of two friends is $ 36,00,000. If one is twice as rich as the other, how much does each have? • $ 16,00,000 ; $ 20,00,000 • $ 12,00,000 ; $ 24,00,000 • $ 21,00,000 ; $ 15,00,000 • $ 25,00,000 ; $ 11,00,000

  13. Find the two numbers if twice their sum is 68 and thrice their difference is 96. • 33 and 1 • 22 and 2 • 33 and 3 • 1 and 44

  14. 13. Lucy wants to buy jackets, each costing $8. Find the number of jackets (x) she can buy for no more than $56. • x < 7 • x ≤ 7 • x ≥ 7 • x > 7

  15. A pole is cut into two pieces in the ratio 6:7. If the total length of the pole is 117cm, find the length of each part. • 60 cm, 57 cm • 50 cm, 67 cm • 54 cm, 63 cm • 40 cm, 77 cm

  16. 16 ½ kg of copper and 2 ¼ kg of lead are melted together. What is the percentage of lead in the alloy? • 21 % • 12 % • 88 % • 16 %

  17. When Mr. Peter jogs, each step measures about 90 cm. If he jogs about 900 steps, is this more than 1 km? • Yes • No • No, equal to • None of the above

  18. 17. A pump takes 4 hours to pump out 1600 l of water. Calculate the time it takes to pump out 2400 l of water. • 5 hrs • 4 hrs • 6 hrs • 7 hrs

  19. 18. If one fifth of four times a number is 20, find the number. a) 52 b) 80 c) 25 d) 16

  20. 19. Length of a river is 11 inches on map. The map of the river has a scale of 1 inch : 30 miles. Find the actual length of the river. a)330 miles b) 150 miles c) 180 miles d) 300 miles

  21. a d b c 20. In the adjoining figure, if a = 120°, find the other angles namely b, c, d. a)b = c = 60°, d = 120° b)a =c = 120°, b =d = 60° c)b = c = 120°, d = 60° d) None of the above

  22. C A X + 10 B 2X - 10 D 21. In the adjoining figure, find x, ACD and BCD a)x = 60°, ACD =70° and BCD = 110 ° b)x = 60°, ACD =110° and BCD = 70 ° c)x = 60°, ACD =100° and BCD = 80 ° d)None of the above

  23. 22.Find the sum of the interior angles of a polygon of 6 sides. a)540° b)360° c)720° d)900°

  24. Break!!

  25. A 45 ° 50 ° C D B 23. In the adjacent triangle, AD = BD. Calculate ADB, ACB. a)ADB = 35°, ACB= 80° b)ADB = 80°, ACB= 35° c)ADB = 30°, ACB= 70° d) None of the above

  26. 24. The sum of the opposite angles of a quadrilateral is 160°. The other two opposite angles are equal. What is the measure of the equal angles? a)100° each b) 90° each c)80° each d) 110° each

  27. 25. Which of the following statements is not true. a) An isosceles triangle has one symmetry line b)A square has two symmetry lines c) A rectangle has two symmetry lines d) An equilateral triangle has three symmetry lines

  28. 26. Write the order of fraction in ascending order. 1/6 , ¾ , ¼, 8/7 • 1/6, 8/7, ¾, ¼ • 1/6, ¼, ¾ ,8/7 • ¾, ¼, 1/6, 8/7 • ¼, 1/6, 8/7, ¾

  29. 27. The area of a trapezium is 140 cm2 and its bases are 38 cm and 32 cm. Find its height. a) 4 m b)4 cm c)40 cm d)0.4 cm

  30. 28. Which of the following statements is true w.r.t a cube? a) Has one vertex, one circumference and one curved face b) Has no vertexand only one curved face c)Has 6 faces which are all squares d)None of the above

  31. 29. A wire is bent into the form of a square of side 11cm. The same wire is bent into a circle. Calculate the radius of the circle. a)7 cm b) 70 cm c)8 cm d) 0.7 cm

  32. Last year, Michael height was 104 cm. This year his height increased ½ more. How much does his height this year ? • 52 cm • 104 cm • 156 cm • 106 cm

  33. 31.The area of a right triangle is 160 sq cm. If one of its legs is 40 cm long, find the length of the other leg. a)8 cm b)4 cm c)0.8 cm d)0.4 cm

  34. Find the leaf values of the stem 7 from the following data. 5.8, 5.9, 6.1, 6.2, 6.8, 7.3, 7.4, 7.6, 7.8, 8.1, 8.1, 8.2, 8.7, 9.2 a) 8, 9 b)1, 2, 8 c)3, 4, 6 d)1, 1, 2, 7

  35. 33. In a school examination, it is decided that exactly half the pupils will pass. Name the measure of central tendency that is used. a) Mode b) Mean c) Median d) None of the above

  36. 34. In a sampling method, which of the following information is gathered? a)Population b)Sample c)Parameter d)All the above

  37. H H T H T T 35. Using the following tree diagram find the probability of tossing a head first and then a tail when a coin is tossed twice. a) 3/4 b) 1/2 c) 1/4 d)1/8

  38. 36. A man can hit a target once in 3 shots. If he fires 3 shots in succession, what is the probability that he will hit his target? • 8/27 • 2/3 • 19/27 • None of the above

  39. 37. In how many ways can 7 letters be posted in 4 post boxes, if any number of letters can be posted in all of the three post boxes? a) 7C4 b) 47 c) 74 d) 7P4

  40. y D B A x C 38. The ordered pair for each point in the adjacent graph is, • A(0, 1); B(3, 3); C(6,0); D(8, 7) • A(1, 0); B(3, 3); C(6,0); D(8, 7) • A(0, 1); B(3, 3); C(0,6); D(8, 7) • A(0, 1); B(3, 3); C(6, 0); D(7, 8)

  41. 39. What distance is the point (0, -5) from the x-axis (D1) and y-axis (D2). Also, name the quadrant in which the point lies. • D1= 5 units, D2 = 0 units, lies on y axis between 3rd and 4th quadrants • D1= 5 units, D2 = 0 units, lies on y axis between 2nd and 4th quadrants • D1= 0 units, D2 = 5 units, lies on y axis between 3rd and 4th quadrants • None of the above

  42. 40. The image of a point p under reflection in the x – axis is (5, -2). Write down the coordinates of p. a) (2, 5) b) (5, 2) c) (2, -5) d) (-2, 5)

  43. 41. State which of the following statements is not true w.r.t reflection. • The point p(4, -3) is unaltered under reflection in y-axis. • The point p(3, 0) is said to be invariant under reflection in x–axis. c) The point p(0, 3) will be unaltered under reflection in y-axis. d) The point p(0, 0) is unaltered under reflection in both x-axis and y-axis.

  44. 42. 56,987 people live in New York. How many is that to the nearest 1,000? 55, 000 56, 000 57, 000 56, 900

  45. In the following diagram, name the transformation on the following figure. a)Translation b) Rotation c) Reflection d) None of the above

  46. 44. Which of the following statements is true with the rotation of the following triangle? a) No rotation b) Clock wise rotation by 360° c) Anticlockwise rotation by 360° d)All of the above

  47. 45. Find the equation of the line passing through (2, -1) and parallel to the line 2x – y = 4. a) y = 1/2x - 5 b) y = 1/2x + 5 c)y = 2x - 5 d) y = 2x + 5

  48. 46. Check which of the following points lie on the equation represented by the line 3x + 5y = 2. a)A(4, -2) b) B(2, 4) c) C(2, 3) d) D(-1, 2)

  49. You did a great job today!! Remember to do the practice sheets!!!

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