IGCSE Edexcel Paper 4H Janaury 2013 Quiz by mujeeb | Feb 3, 2022 Welcome to your IGCSE Edexcel Paper 4H Janaury 2013 Quiz 1) (a) Use your calculator to work out the value of \[\frac{8.7 + 2.8}{1.4²}\]Give your answer as a decimal.Write down all the figures on your calculator display. None (b) Give your answer to part (a) correct to 2 significant figures. None 2) A circle has a diameter of 7.6 cm.Work out the circumference of the circle.Give your answer correct to 3 significant figures. None 3) The table shows information about the marks of 20 students in a science test.Work out the mean mark of the 20 students. None 4) Abid is waiting for a bus.The probability that his bus will be early is 0.2The probability that his bus will be on time is 0.7Work out the probability that his bus will be either early or on time. None 5) E = {even numbers}A = {2, 4, 6, 8, 10}(a) B is a set such that A ∩ B = {4, 8}The set B has 3 members.List the members of one possible set B. None (b) C is a set such that A ∩ C = ØThe set C has 3 members.List the members of one possible set C. None 6) \[\frac{5}{9}\]of the students in a group are male.\[\frac{5}{6}\]of the female students in the group are right-handed.(a) Work out the fraction of students in the group who are right-handed females. None (b) Find the smallest possible number of students in the group. None 7)The diagram shows a shape.Work out the area of the shape None 8 (a) Factorise n² + 8n None (b) Expand and simplify 3(2x - 5) - 4(x + 3) None (c) Expand and simplify (y + 7)(y + 2) None 9)Work out the value of x.Give your answer correct to 3 significant figures. None 10) Solve 3x + 16 = 1 - 2xShow clear algebraic working. None 11) Jack, Kate and Lila share some money in the ratios 5 : 9 : 6In total, Jack and Kate receive £56Work out the amount of money Lila receives. None 12) Use ruler and compasses to construct the bisector of angle ABC.You must show all your construction lines. None 13)Write down inequalities to fully define the shaded region. None 14) Solve \[\frac{2}{5x - 2}] = \[\frac{3}{6x + 1}\]Show clear algebraic working None 15 (a) Simplify None (b) Simplify ( 2\[n^{4}\] )³ None 16) The grouped frequency table gives information about the lengths of 160 pythons.(a) Complete the cumulative frequency table. None (b) On the grid, draw a cumulative frequency graph for your table. (c) Use your graph to find an estimate for the median length of the pythons. None 17)AB is parallel to DE.The lines AE and BD intersect at C.AB = 7.5 cm, AC = 7 cm, CD = 5.2 cm, CE = 5.6 cm.(a) Calculate the length of BC. None (b) Calculate the length of DE. None (c) The area of triangle ABC is 21 cm²Calculate the area of triangle EDC. None 18) Solve 5x² + 2x - 4 = 0Give your solutions correct to 3 significant figures.Show your working clearly. None 19) (3 + √a)(4 + √a) = 17 + k√a where a and k are positive integers.Find the value of a and the value of k None 20)In Box X, there are 4 black discs and 1 white disc.In Box Y, there are 2 black discs and 2 white discs.Vikram takes at random a disc from Box X and puts it in Box Y.He then takes at random a disc from Box Y.(a) Calculate the probability that the disc he takes from Box X and the disc he takesfrom Box Y will both be black discs None (b) Calculate the probability that the disc he takes from Box Y will be a white disc. None 21) When a photograph is taken, the exposure time, t, is directly proportional to thesquare of the size, f, of the opening in the camera lens.t = 0.02 when f = 8(a) Find a formula for t in terms of f None (b) Calculate the value of f when t = 0.0098 None 22)A, B and C are points on a circle, centre O.Angle ACB = 76°PA and PB are tangents to the circle.Calculate the size of angle APB. None 23) f is a function such thatf(x) = \[\frac{1}{x² + 1}\](a) Find f(\[\frac{1}{2}\]) None g is a function such thatg(x) = √x-1 x ≥ 1(b) Find fg(x)Give your answer as simply as possible. None 24) On Monday, Nalim made a journey.On Tuesday, she made the same journey.Her average speed on Tuesday was 25% greater than her average speed on Monday.Calculate the percentage reduction in the time her journey took on Tuesday comparedwith Monday. None 25)The diagram shows a vertical flagpole in Chennai, India.The point A is at the top of the flagpole.The point B is at the foot of the flagpole.There is a platform at the point D on the flagpole.B and C are points on horizontal ground.AD = 16.5 mThe angle of elevation of A from C is 69°The angle of elevation of D from C is 59°Calculate the height, AB, of the flagpole.Give your answer correct to 3 significant figures. None 26 Solve the simultaneous equationsy = 3x + 2x² + y² = 20Show clear algebraic working None Time's up