Mathematics Higher Level Robert Joinson

More documents

Recommendations

Info

©Sumbooks2003Higher Level92 Box Plots1) There are 150 apple trees in the cider farmer’s orchard. The following figures relate to theirheights.Tallest tree 450cmSmallest tree 250cmLower quartile 310cm Upper quartile 360cmMedian 334cmRepresent this information on a box plot.2) The box plot below represents the life of 30 Regular electric light bulbs tested by the ShinyElectric Light Company.200 300 400 500 600 700 800 900Life of bulbs (in hours)1,000When they test the Super bulbs they get the following results.Shortest life 350 hoursLongest life 950 hoursLower quartile 650 hours Upper quartile 770 hoursMedian life 720 hours.Copy the diagram and on it show the box plot for the Super bulbs.Compare the two types of bulbs and make comments.3) The diagram shows two box plots representing the diameters of rods made on two machines.Two samples of 100 rods were taken from each of the machines.Machine AMachine B15.05DiameterofRods (mm)15.0014.95The rods are produced to a diameter of 15.00 mm and any rod which is more than 0.01mmabove or below that value is a) scrapped if it is too small or b) re-machined if it is too large.Any value between these allowances is acceptable.Use the diagrams to comment on the accuracy of the machines.
HigherAnswers1. Estimations and Calculation1) a) 1.8572×5b) -----------5c) 22) a) 20.1210 × 4b) --------------2c) 203) a) 18.029×9b) -----------4c) 204) a) 1.0020.5 × 7b) ----------------3c) 15) a) 0.10743 × 0.4b) ----------------9c) 0.16) a) 0.32748 × 0.3b) ----------------8c) 0.37) a) 0.10990.7 × 0.8b) --------------------5c) 0.18) a) 0.018140.2 × 0.6b) --------------------6c) 0.029) a) 0.060960.6 × 0.8b) --------------------8c) 0.0610) a) 1.0352 × 0.2b) ----------------0.4c) 111) a) 12.228 × 0.3b) ----------------0.2c) 1212) a) 4.33220 × 0.2b) -------------------0.8c) 513) a) 616.310 × 30b) -----------------0.6c) 50014) a) 650030 × 100b) --------------------0.4c) 750015) a) 21080200 × 30b) --------------------0.3c) 2000016) a) 0.975320 × 0.02b) ----------------------0.3c)117) a) 144530 × 0.8b) -------------------0.02c) 120018) a) 1,411,00070 × 30b) -----------------0.001c) 2,100,00019) a) 395.9( 30) × 10b) ------------------------30c) 30020) a) 5.3035 × ( 0.8) b) -----------------------0.6c) 521) a) 58.8820 × ( 20) b) ------------------------100c) 8022) a) 246.9( 20) × 2b) ---------------------0.6 × 3c) 40023) a) 0.5510100 × ( 0.3) b) -----------------------------0.8 × 30c) 0.424) a) 0.7783( 0.3) × 30b) --------------------------0.5 × 7c) 0.825) a) 13.3640 × 7b) --------------20c) 1426) a) 6.88310 × 20b) -----------------50c) 4Page 9327) a) 2.09930 × 0.9b) -------------------10c) 2.728) a) 16.8930 2 × 0.4b) ---------------------20c) 1829) a) 123140 × 10b) -----------------0.4c) 100030) a) 639.930 2 × 20b) --------------------3×10c) 60031) a) 700930 × 20 2b) --------------------0.3 × 4c) 10,00032) a) 137230 2 × 0.8 2b) ------------------------0.4c) 144033) a) 213.140 × 4 2b) -------------------0.3 × 10c) 16034) a) 8.47110 × 30b) -----------------40c) 7.535) a) 245540 2 × 0.02b) ------------------------0.8 × 0.01c) 400036) a) 0.13520.5 2 × 0.006b) -----------------------------0.8 × 0.02c) 0.0937) a) 6784100b) ---------0.02c) 500038) a) 5.86627000 × 0.008b) ----------------------------------32c) 72. Standard FormExercise 11) 4.57 × 10 2 2) 1.427 × 10 3 3) 9.431 × 10 34) 1.56321 × 10 5 5) 1.7 × 10 7 6) 2.813 × 10 17) 8.142 × 10 2 8) 4.86 × 10 4 9) 9.7 × 10 6Exercise 21) 280,000 2) 64,000,000 3) 93,0004) 4,315,000 5) 8,614,000,000 6) 0.04317) 0.0000032 8) 0.000000684 9) 0.00000000438Exercise 31) 2.432 × 10 7 2) 4.482 × 10 9 3) 1.564 × 10 44) 3.784 × 10 1 5) 5.312 × 10 7 6) 2.438 × 10 37) 1.676 × 10 4 8) 1.537 × 10 9 9) 3.5 × 10 810) 1.25 × 10 5 11) 1.37 × 10 10 12) 8.123 × 10 413) 1.316 × 10 8 14) 2.400 × 10 4 15) 1.207 × 10 416) 2.093 × 10 2 17) 9.928 × 10 5 18) 1.963 × 10 1419) 2× 10 2 20) 3×10 3Exercise 41) a) 9.4608 × 10 12 km b) 8.456 years2) a) 5.976 × 10 21 and 7.35 × 10 19 b) 81 times3) a) 1,839 b) 1.098 × 10 30 electrons
Page 6:
48. Transformations of Graphs49. Ma
Page 9 and 10:
©Sumbooks2002Higher Level3. Ration
Page 11:
©Sumbooks2002Higher Level5. Prime
Page 15 and 16:
©Sumbooks2002Higher Level9. Indice
Page 17:
©Sumbooks2002Higher Level11. Re-ar
Page 20 and 21:
©Sumbooks2002Higher Level14. Facto
Page 22 and 23:
©Sumbooks2002Higher Level16. Itera
Page 24 and 25:
©Sumbooks2002Higher Level18. Solvi
Page 26 and 27:
©Sumbooks2002Higher Level20. Probl
Page 28 and 29:
©Sumbooks2002Higher Level22. Probl
Page 30 and 31:
©Sumbooks2002Higher Level24. Inequ
Page 32 and 33:
©Sumbooks2002Higher Level26. Linea
Page 34 and 35:
©Sumbooks2002Higher Level28. Graph
Page 36 and 37:
©Sumbooks2002Higher Level30. Graph
Page 38 and 39:
©Sumbooks2002Higher Level32. Dista
Page 40 and 41:
©Sumbooks2002Higher Level34. Angle
Page 42 and 43:
©Sumbooks2002Higher Level36. Congr
Page 44 and 45:
©Sumbooks2002Higher Level38. Geome
Page 46 and 47:
©Sumbooks2002Higher Level40. Vecto
Page 48 and 49: ©Sumbooks 2002Higher Level42. Simi
Page 50 and 51: ©Sumbooks 2002Higher Level44. Cons
Page 52 and 53: ©Sumbooks 2002Higher Level46. Tran
Page 54 and 55: ©Sumbooks 2002Higher Level48. Tran
Page 56 and 57: ©Sumbooks 2002Higher Level50. Area
Page 58 and 59: ©Sumbooks 2002Higher Level52. Rati
Page 60 and 61: ©Sumbooks 2002Higher Level54. Form
Page 62 and 63: ©Sumbooks 2002Higher Level56. Sine
Page 64 and 65: ©Sumbooks 2002Higher Level58. Area
Page 66 and 67: ©Sumbooks 2002Higher Level60. Grap
Page 68 and 69: ©Sumbooks2002Higher Level62. Quest
Page 70 and 71: ©Sumbooks2002Higher Level64. Scatt
Page 72 and 73: ©Sumbooks2002Higher Level66. Flowc
Page 74 and 75: ©Sumbooks2002Higher Level68. Histo
Page 76 and 77: ©Sumbooks2002Higher Level70. Histo
Page 78 and 79: ©Sumbooks2002Higher Level72. Mean,
Page 80 and 81: ©Sumbooks2002Higher Level74. Frequ
Page 82 and 83: ©Sumbooks2002Higher Level76. Cumul
Page 84 and 85: ©Sumbooks2002Higher Level78. Proba
Page 86 and 87: ©Sumbooks2002Higher Level80. Tree
Page 88 and 89: ©Sumbooks2002Higher Level82 Comple
Page 90 and 91: ©Sumbooks2002Higher Level84 Enlarg
Page 92 and 93: ©Sumbooks2002Higher Level86 Simult
Page 94 and 95: ©Sumbooks2002Higher Level88 Sampli
Page 96 and 97: ©Sumbooks2002Higher Level90 3 Dime
Page 100 and 101: Higher3. Rational & Irrational Numb
Page 102 and 103: HigherPage 963) 2x 2 - 11x - 21 4)
Page 104 and 105: Higher11) 0.79 or - 2.12 12) 0.19 o
Page 106 and 107: Higher6) Two angles and a side are
Page 108 and 109: HigherPage 102Exercise 21) a) iii b
Page 110 and 111: Higher2) a)Time500 < x ≤ 600b)600
Page 112 and 113: HigherPage 106323BC is - -- DC is -
Page 114: 50% of the rods are acceptable. Als
show all

Mathematics Higher Level Robert Joinson

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?