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Detailed questions of maths GCSE questions
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HT4 Exam Style Questions
HT4 Exam Style Q uestions 4) The ath term of a sequence is given by 77 + 100 (a) Find the Sth term of the sequence 1 Write 75 millimetres as a fraction of 3 metres. Give your answer in its simplest form. Barney says that 37 is a term in the sequence. (Total for Question 1 is 2 marks) Bamey is wrong. (b) Explain why Barney is wrong. 2 (a) Write 5.142557 to 3 decimal places. (b) Write 6281 to 3 significant figures. tal for Question 4 is 2 marks) 6x10" 41.810" 3x10° Give your answer in standard form. 5 Evaluate (Total for Question 2 is 2 marks) 3 Simplify 7 Without using a calculator and showing all your working, calculate 2h 1 4 7 Give your answer as a mixed number in its simplest form, 2 Diagram NOT accurately drawn 12.6cm The diagram shows isosceles triangle ABC where AB= AC ZBAC=90° BC =12.6em Calculate the perimeter, in cm to one decimal place, of the triangle. 13 P ve Diagram NOT accurately drawn 8cm Q ‘The diagram shows shape PTRO where PRQ is a triangle and PTR is a semicircle with diameter PR ZPOR=90° = ZPRO=40° = PO=8em Calculate the total area, in cm? to the nearest whole number, of shape PTRO 14 Solve the simultaneous equations 2x+6y=14 3x+53y =10 Show clear algebraic working. 15 Make y the subjectof ¢= 19 The students in class 7T and the students in class 8Y were asked to name their favourite ice cream flavour. The table shows information about the favourite ice cream flavour for class 7T The pie chart shows information about the favourite ice cream flavour for class 8Y class 77 class 8Y ice cream flavour | number of students vanilla vanilla 3x41 s0° strawberry 5x-12 cS a chocolate Qxe3 128 strawberry There are 32 students in class 71 There are 45 students in class SY More students in class 7T than in class 8¥ said vanilla was their favourt ice cream flavour. Find how many more. 21 Ces > Diagram NOT accurately drawn The diagram shows a solid shape made by joining a large hemisphere and a small hemisphere The centre of the base of the large hemisphere and the centre of the base of the small hemisphere meet at the point O radius of large hemisphere : radius of small hemisphe The total surface area of the solid shape is $677 cm* Calculate the total volume, in cm’ to 3 significant figures, of the solid shape.