IGCSE Edexcel 3H January 2016 by anees | Feb 8, 2022 Welcome to your IGCSE Edexcel 3H January 2016 1 Here is a list of the ingredients needed to make lentil soup for 6 people.Jenny wants to make lentil soup for 24 people.(a) Work out the amount of vegetable stock she needs. None Ravi is going to make lentil soup.He uses 450 g of carrots.(b) How many people is Ravi making the lentil soup for? None 2 Lizzy drove by car to visit her aunt.She left home at 930 am.Lizzy arrived at her aunt’s house at 1115 am.She drove a distance of 140 km.Work out, in km/h, Lizzy’s average speed for the journey None 3 Show that \[\frac{3}{8}\] ÷ \[\frac{7}{12}\] = \[\frac{9}{14}\] None 4 (a) Factorise 15r + 10 None (b) Simplify y⁷ × y² None (c) Expand and simplify (x + 5)(x – 1) None (d) Simplify fully \[\frac{36k³m⁴}{30k⁵m}\] None 5 Kim asked 40 people how many text messages they each sent on Monday.The table shows her results. (a) Write down the modal class. None (b) Calculate an estimate for the mean number of text messages sent. None (c) What percentage of these 40 people sent 20 or more text messages? None 6 Use ruler and compasses only to construct the perpendicular bisector of line AB.You must show all your construction lines. None 7 E = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}A = {1, 2, 3, 4, 5, 6}B = {odd numbers}(a) List the members of A ∪ B None C is a set such that A ∩ C = {4, 5}The set C has 4 members.(b) List the members of one possible set C None 8 Solve 3(2x + 5) = 4 – xShow clear algebraic working None 9A cylinder has radius 5.4 cm and height 16 cm.(a) Work out the volume of the cylinder.Give your answer correct to the nearest whole number. None The radius 5.4 cm is correct to 2 significant figures.(b) (i) Write down the upper bound of the radius. None (ii) Write down the lower bound of the radius. None 10 (a) On the grid, draw the graph of y = 2x + 3 for values of x from –2 to 4 None (b) Show, by shading on the grid, the region that satisfies all three of the inequalitiesx ≤ 3 and y ≥ 2 and y ≤ 2x + 3Label your region R. None 11Work out the size of angle ACB.Give your answer correct to 1 decimal place. None 12 Make t the subject of 5(t – g) = 2t + 7 None 13 Here are the marks that James scored in eleven maths tests.16 12 19 18 17 13 13 20 11 19 17(a) Find the interquartile range of these marks. None Sunil did the same eleven maths tests.The median mark Sunil scored in his tests is 17The interquartile range is 8(b) Which one of Sunil or James has the more consistent marks?Give a reason for your answer. None Sunil did four more maths tests.His scores in these four tests were 16, 20, 18 and 10(c) How does his new median mark for the fifteen tests compare with his median mark of17 for the eleven tests?Explain your answer. None 14 Liam invests £8000 in a savings account for 4 years.The savings account pays compound interest at a rate of4.5 % for the first year2.75 % for all subsequent years.(a) Work out the value of Liam’s investment at the end of 4 years. None Max invests some money in a savings bond.The savings bond pays interest at a rate of 2% per year.At the end of the first year, his savings bond is worth £5763(b) How much money did Max invest in the savings bond? None 15 The diagram shows the graph of y = f(x) for –3.5 ≤ x ≤ 1.5(a) Find f(0) None (b) For which values of k does the equation f(x) = k have only one solution? None (c) Find an estimate for the gradient of the curve at the point where x = –2.5 None g(x) = \[\frac{1}{2 + x}\] (d) State which value of x must be excluded from any domain of g None (e) Find fg( –3) None 16 Solve the inequality 5x² – 13 < 32Show clear algebraic working. None 17L, M and P are points on a circle, centre OAngle LMP = 48°(a) (i) Write down the size of angle LOP None (ii) Give a reason for your answer None Q, R, S and T are points on a circle.ATB is the tangent to the circle at TAngle STR = 26°Angle RQT = 73°(b) Work out the size of angle STAGive a reason for each stage in your working. None 18 A is the point with coordinates (1, 3)B is the point with coordinates (–2, –1)The line L has equation 3y = 4 – 2xIs line L parallel to AB?Show your working clearly. None 19 The diagram shows a sphere and a cone.The cone has height h cm.The radius of the base of the cone is 3 times the radius of the sphere.Given that the volume of the sphere is equal to the volume of the cone,find an expression for the radius of the sphere in terms of h.Give your expression in its simplest form. None 20Work out the area of triangle ABC.Give your answer correct to 3 significant figures. None 21 Peter travels to work either by bus or by bike.The probability that Peter will travel to work by bus on any one day is 0.7Whenever Peter travels to work by bus, the probability that he will be late is 0.1Whenever Peter travels to work by bike, the probability that he will be late is 0.05Peter is going to go to work on Monday and on Tuesday.Work out the probability that he will be late for work on at least one of these days. None 22 The diagram shows a rectangle.The width of the rectangle is x cm.The length of a diagonal of the rectangle is 12 cm.The perimeter of the rectangle is 28 cm.Find the possible values of x.Give your values correct to 3 significant figures.Show your working clearly. None 23OAB is a triangle.P is the point on OA such that OP : PA = 2 : 1C is the point such that B is the midpoint of OC.M is the midpoint of AB.OA = 6a OB = 4bShow that PMC is a straight line. None Time's up