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Edexcel Math 1H Paper

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Published in: Maths
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Solutions to the January 2019- Edexcel Math 1H Paper

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  1. Z vauv NI ION oa DO NOT WRITE IN THIS AREÄ vauv NI ION oa DO NOT WRITE IN THIS AREA vauv 3118M ION oa DO NOT WRITE IN THIS AREA
  2. (a) Describe fully the single transformation that maps triangle A onto triangle B. qoO (b) On the grid, translate triangle A by the vector Label the new triangle C. p 59017 A 0428
  3. DO NOTWRITEINTHIS AREA 'DONOTWRITE'INTHISAREA DO NOTWRITE INTHIS AREA On d ? enlarge triangleDwithscale factor , ? dcen ? | 4 ? 2 ? otalfor estion 2 6 marks
  4. 4 The table gives information about the price Of gold. 1st February 2016 Price of one ounce of 1126.50 Id (dollars) 1st March 2016 1236.50 8 Z (a) Work out the percentage increase in the price of gold between 1st February 2016 and 1st March 2016 Give your answer correct to 3 significant figures. I a BC.so. q.-rc The price of one ounce ofgold on 1st February 2016 was 1126.50 dollars. The price of gold increased by 19% from 1st February 2016 to 1st July 2016 (b) Work out the price of one ounce of gold on 1st July 2016 Give your answer correct to 13k v dollars (Total for Question 4 is 6 marks) 7 Turn over
  5. 3 Here is a biased 5-sided spinner. yellow blue WIIen the spinner is spun, it can land on red, blue, green, brown or yellow. The table gives the probabilities that the spinner lands on red or on blue or on green. Colour Probability 0.15 blue 0.26 green brown yellow 0.33 0.1b O • > > 8 z z When the spinner is spun once, the probability that the spmner lands on brown is 0.06 more than the probability that the spinner lands on yellow. Jenine spins the spinner 150 times. Work out an estimate for the number of times the spinner lands on yellow. (Total for Question 3 is 4 marks) 6 P 5 9 17 A 0 628
  6. 17 Here is triangle ABC. 4.1 cm Calculate the value of x. 5.3 cm Diagram NOT accurately drawn 1100 q.q3 Give your answer correct to 3 significant figures. k k •q 1k.€C z s-rs (Total for Question 17 is 5 marks)
  7. 14 Tis directly proportional to the cube of r T = 21.76 when r —4 (a) Find a formula for T in terms of r (3) (b) Work out the value of T when r = 6 (1) (Total for Question 14 is 4 marks)
  8. Sil-u NI ION oa DO NOTWRITE IN THIS AREA vauv Sil-u NI ION oa DO NOT WRITE IN THIS AREA SIHL NI LON oa DO Not WRITE IN TAIS AREA
  9. 10 Here is triangle ABD. Sok C.A TOA The point C lies on BD. 000 200 13 cm 8 cm k.qs 200 Diagram NOT accurately drawn 12 •'73 AD = 13 cm BC = 8cm angle ADB = 900 Calculate the size of angle BAC. Give your answer correct tnecimal place. 14 (Total for Question 10 is 5 marks) p 59017 A 0 1428
  10. 9 000 The table shows information about the speeds of 60 cycles. Speed (s km/h) o < s < 10 10 < s 20 < s 30 30 < s < 40 40 < s < 50 50 < s 60 (a) Complete the cumulative frequency table. Speed (s km/h) o < s < 20 o < s < 30 O < s 40 o < s 50 12 Frequency 3 16 24 10 5 2 Cumulative frequenc 3 o z I I I Ill I I I I Il I I I I I I I I I I I I I Ill I I I I I Il I I I I I I Il I I I I I I I Ill I I I I I I I I I I I I I Il
  11. vauv SIHL NI ION oa DO NOTWRITE IN THIS AREA vauv SIHL NI ION oa DO NOT WRITE IN THIS AREA vauv SIHI NI LON oa DO NOT WRITE IN THIS AREA
  12. (J t, V3MV Sib-IL NI ION oa DO NOT WRITE IN THIS AREA 11 Sli-u NI ION oa DO NOT WRITE IN THIS AREÄ SIHI LON og DO Not WRITE Ti-lis AREA
  13. 7 The table shows the volumes, in km', of four oceans. Ocean Arctic Ocean Atlantic Ocean Indian Ocean Southern Ocean (a) Write 7.18 x 10' as an ordinary number. | 1 t 60000 Volume (km') 1.88 x 107 3.10 x 10' 2.64 x 10' 7.18 x 10' 31.0 66 •k b K 107 (b) Calculate the total volume of these four oceans. 10 The volume of the South China Sea is 9 880000 km3 (c) Write in standard form. (Total for Question 7 is 4 marks) 10 I I I I I I I Il I I I Ill I I I Il I I I I I Il I I I I I I I I I Il I I I I I I I I I I Il I I I I I I I I Il Il I I I I Il P 59017 A 01028 -4 > > > m > z z Z o 0
  14. (30t - Diagram NOT accurately drawn (4t+ 15)0 (20t + 45)' BCD and AFE are straight lines. Show that BCD is parallel to AFE. Give reasons for your working. BOC —S = + (O c (GO (Total for Question 5 is 5 marks) A (D 828
  15. 6 (a) Complete the table of values for y = x: — 5x + 6 (b) On the grid, draw the graph of y — 5x + 6 for O x 5 (c) By drawing a suitable straight line on the grid, find estimates for the solutions of the equauon x: — Sr = x — 7 (Total for Question 6 is 6 marks) I Ill I I I I I Il I I I I I I I I I I I I I I I Il I I I I I I I I I I I I I I I I I I I I I I I Il I I I I Illi P 5 g 0 17A0928 Turn over
  16. 18 The graph ofy = f(x) is shown on the grid. (a) On the grid above, sketch the graph Of y f —x I I I I I I I I I Il I I I Il I Il I Il I I I I I Ill Il I I I Ill Il Il I I I I I I I I I I I I I I I I I I I I I Il A 2228
  17. DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
  18. 13 All the students in Year Il at a school must study at least one of Geography (G), History (H) and Religious Studies (R). In Year I I there are 65 students. Of these students 15 study Geography, History and Religious Studies 21 study Geography and History 16 study Geography and Religious Studies 30 study Geography 18 study only Religious Studies 37 study Religious Studies (a) Using this information, complete the Venn diagram to show the number of students in each region of the Venn diagram. (3) A student in Year I I who studies both History and Religious Studies is chosen at random. (b) Work out the probability that this student does not study Geography. (2) (Total for Question 13 is 5 marks)
  19. 15 The total surface area of a solid hemisphere is=l to the curved surface area of a cylinder. The radius of the leiEe is r cm. The radius of the cylinder is twice the radius 2— Given that volume of hemisphere: volume Of cylinder I find the value of m. SD lia z xo.Aö.A Total for uestion 15 is 4 marks 19 Turn over P 59017 A 0192 e
  20. 17 Here is triangle ABC. 5.3 cm Diagram NOT accurately drawn I IOO 4.1 cm Calculate the value of x. Give your answer correct to 3 significant figures. k k •q + 1k.€C s-rs (Total for Question 17 is 5 marks)
  21. 19 g is the function with domain x —3 such that g(x) = x: + 6v (a) Write down the range of g-l (b) Express the inverse function g' I in the form g :.r—•. (1) (Total for Question 19 is 5 marks) I Il I I I I I I I I I I Ill I I I I I I I I I I I Il I Il I I I I I I Il Il I I I I I I I I I I I I I I I I Il Il I I I I I I P 5 g017A02428
  22. 20 A bowl contains n pieces of fruit. Of these, 4 are oranges and the rest are apples. Two pieces of fmit are going to be taken at random from the bowl. The probability that the bowl will then contain (n — 6 apples is — Work out the value of n Show your working clearly. — kn 2-0 2-0) (Total for Question marks) Turn over
  23. 21 (2K + 23), (Sr + 2) and (20.1 — 52) are three consecutive terms of an arithmetic sequence. Prove that the common difference of the sequence is 12 2-3 z 2-om— 33 z (Total for Question 21 is 4 marks) TOTAL FOR PAPER IS 100 MARKS I I I I I I I I I I I I Il I I I I I I I I I I I Ill I I I I I Ill Il I I I I I I I I I I I I I I I I I Il I I I I I I I I Ill P 5 9 C) 17 ()2628

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