Maths (I) 1998 - HKCEE Mathematics Paper I 1998 Question Paper SECTION A(1 CE-98-1 Figure 1 shows a right prism the cross-section of which is a

Maths (I) 1998 - HKCEE Mathematics Paper I 1998 Question...

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HKCEE Mathematics Paper I 1998 Question Paper SECTION A(1) CE-98-1 Figure 1 shows a right prism, the cross-section of which is a trapezium. Find the volume of the prism. (3 marks) CE-98-2 In Figure 2, CDE is a straight line. Find x and y . (3 marks) CE-98-3 In Figure 3, find x and y . (3 marks) 6 cm 3 cm 4 cm 8 cm Figure 1 80 120 140 y x A B C D E Figure 2 x y 7 5 Figure 3
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CE-98-4 Simplify 2 4 3 b a a and express your answer with positive indices. (3 marks) CE-98-5 Make x the subject of the formula a x x b ) 1 ( 2 . (3 marks) CE-98-6 In Figure 4, A , B , C , D are points on a circle. AC and BD meet at E . (a) Which triangle is similar to ECD ? (b) Find y . (4 marks) CE-98-7 The marked price of a toy car is $29. It is sold at a discount of 20%. (a) Find the selling price of the toy car. (b) If the cost of the toy car is $18, find the percentage profit. (4 marks) CE-98-8 A (0, 4) and B (–2, 1) are two points. (a) Find the slope of AB . (b) Find the equation of the line passing through (1, 3) and perpendicular to AB . (5 marks) Figure 4 A D C B y 4 3 6 E
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CE-98-9 Let 6 5 2 ) ( f 2 3 x x x x . (a) Show that x – 2 is a factor of ) ( f x . (b) Factorize ) ( f x . (5 marks)
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SECTION A(2) CE-98-10 Two hundred students took a test in Mathematics. Figure 5 shows the cumulative frequency polygon of the distribution of the test scores. (a) Complete the tables below. (3 marks) Test Score ( x ) Cumulative frequency 50 x 8 60 x 50 70 x 80 x 90 x 188 100 x 200 Test Score ( x ) Frequency 50 40 x 8 60 50 x 42 70 60 x 80 70 x 90 80 x 30 100 90 x 12
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  • Summer '19
  • test score, Figure 8

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