2 P59022a0228-Books Pdf

2 P59022A0228
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International GCSE Mathematics, Formulae sheet Higher Tier. DO NOT WRITE IN THIS AREA, Arithmetic series 1, n Area of trapezium a b h. Sum to n terms Sn 2a n 1 d 2, The quadratic equation a. The solutions of ax2 bx c 0 where, a 0 are given by h. Trigonometry In any triangle ABC, sin A sin B sin C.
DO NOT WRITE IN THIS AREA, b a Cosine Rule a2 b2 c2 2bccos A. Area of triangle ab sin C, 1 2 Volume of prism, Volume of cone r h area of cross section length. Curved surface area of cone rl, DO NOT WRITE IN THIS AREA. Volume of cylinder r2h 4 3, Curved surface area Volume of sphere r. of cylinder 2 rh, Surface area of sphere 4 r2, P59022A0228.
Answer ALL TWENTY THREE questions, Write your answers in the spaces provided. DO NOT WRITE IN THIS AREA, You must write down all the stages in your working. 1 Show that 1 2 4, DO NOT WRITE IN THIS AREA, Total for Question 1 is 3 marks. DO NOT WRITE IN THIS AREA, P59022A0328 Turn over, 2 There are 60 children in a club. In the club the ratio of the number of girls to the number of boys is 3 1. DO NOT WRITE IN THIS AREA, of the girls play a musical instrument.
of the boys play a musical instrument, What fraction of the 60 children play a musical instrument. Total for Question 2 is 4 marks DO NOT WRITE IN THIS AREA. DO NOT WRITE IN THIS AREA, P59022A0428, Q Diagram NOT. accurately drawn, DO NOT WRITE IN THIS AREA, P 5 cm S 10 cm R. In triangle PQR, S is the point on PR such that angle RSQ 90. Work out the length of PQ, DO NOT WRITE IN THIS AREA.
DO NOT WRITE IN THIS AREA, Total for Question 3 is 4 marks. P59022A0528 Turn over, 4 a a b and 40 are four numbers. a is the least number, DO NOT WRITE IN THIS AREA, 40 is the greatest number. The range of the four numbers is 14, The median of the four numbers is 30. Work out the value of a and the value of b, DO NOT WRITE IN THIS AREA.
Total for Question 4 is 3 marks, DO NOT WRITE IN THIS AREA. P59022A0628, 5 The Shanghai Maglev Train takes 8 minutes to travel a distance of 30 5 kilometres. Work out the average speed of the train, DO NOT WRITE IN THIS AREA. Give your answer in kilometres per hour, kilometres per hour. DO NOT WRITE IN THIS AREA, Total for Question 5 is 3 marks.
DO NOT WRITE IN THIS AREA, P59022A0728 Turn over, 6 The diagram shows the triangle PQR. DO NOT WRITE IN THIS AREA, Diagram NOT, accurately drawn. 3x 10 x 52, In the diagram all the angles are in degrees. Find the value of y, Show clear algebraic working, DO NOT WRITE IN THIS AREA. DO NOT WRITE IN THIS AREA, Total for Question 6 is 4 marks.
P59022A0828, 8 Solve the simultaneous equations, DO NOT WRITE IN THIS AREA. Show clear algebraic working, DO NOT WRITE IN THIS AREA. Total for Question 8 is 3 marks, DO NOT WRITE IN THIS AREA. P59022A01028, 9 N 480 109, a Write N as a number in standard form. DO NOT WRITE IN THIS AREA, b Write N as a product of powers of its prime factors.
Show your working clearly, DO NOT WRITE IN THIS AREA. c Find the largest factor of N that is an odd number. DO NOT WRITE IN THIS AREA, Total for Question 9 is 5 marks. P59022A01128 Turn over, 11 There are 12 boys and 8 girls in a class. The boys and the girls have some coins, DO NOT WRITE IN THIS AREA. The mean number of coins that the boys have is 5 5. The girls have a total of 18 coins, Work out the mean number of coins the 20 children have.
DO NOT WRITE IN THIS AREA, Total for Question 11 is 3 marks. DO NOT WRITE IN THIS AREA, P59022A01328 Turn over, 12 Here are the first four terms of a sequence of fractions. DO NOT WRITE IN THIS AREA, The numerators of the fractions form the sequence of whole numbers 1 2 3 4. The denominators of the fractions form the sequence of odd numbers 1 3 5 7. a Write down an expression in terms of n for the nth term of this sequence of fractions. DO NOT WRITE IN THIS AREA, b Using algebra prove that when the square of any odd number is divided by 4 the. remainder is 1, DO NOT WRITE IN THIS AREA, Total for Question 12 is 5 marks.
P59022A01428, 13 A curve C has equation y x3 x2 8x 12. DO NOT WRITE IN THIS AREA, The curve C has two turning points. b Work out the x coordinates of the two turning points. Show your working clearly, DO NOT WRITE IN THIS AREA. c Show that the x axis is a tangent to the curve C. DO NOT WRITE IN THIS AREA, Total for Question 13 is 7 marks. 4 P59022A0428 O NOT RITE IN THIS AREA O NOT RITE IN THIS AREA O NOT RITE IN THIS AREA 5 2 There are 60 children in a club In the club the ratio of the number of girls to the number of boys is 3 1

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