Anonymous
timer Asked: Apr 25th, 2020

Question Description

Please look and answer the file attached.


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P59756A © 2020 Pearson Education Ltd. P59756A © 2020 Pearson Education Ltd. Answer all TWENTY TWO questions. Write your answers in the spaces provided. You must write down all the stages in your working. 1 The point A has coordinates (5, −4) The point B has coordinates (13, 1) (a) Work out the coordinates of the midpoint of AB. (............................ , ............................) (2) Line L has equation y = 2 − 3x (b) Write down the gradient of line L. ....................................................... (1) Line L has equation y = 2 − 3x (c) Does the point with coordinates (100, −302) lie on line L? You must give a reason for your answer. ...................................................................................................................................................... ...................................................................................................................................................... ...................................................................................................................................................... (1) (Total for Question 1 is 4 marks) ___________________________________________________________________________ P59756A © 2020 Pearson Education Ltd. 2 Find the lowest common multiple (LCM) of 28 and 105 ....................................................... (Total for Question 2 is 2 marks) ___________________________________________________________________________ P59756A © 2020 Pearson Education Ltd. 3 The diagram shows a shape. The shape has area 129 cm2 Work out the value of x. x = ....................................................... (Total for Question 3 is 4 marks) ___________________________________________________________________________ P59756A © 2020 Pearson Education Ltd. 4 The table shows information about the weights, in kilograms, of 40 babies. Weight (w kg) Frequency 2 4 Using the axes below, sketch the curve C. On your sketch show clearly, in terms of a, (i) the coordinates of any points of intersection of C with the coordinate axes, (ii) the coordinates of the turning point. (Total for Question 20 is 4 marks) ___________________________________________________________________________ P59756A © 2020 Pearson Education Ltd. 21 The functions f and g are such that f (x) = x2 − 2x g (x) = x + 3 The function h is such that h (x) = fg (x) for x ⩾ −2 Express the inverse function h−1 (x) in the form h−1 (x) = … h−1 (x) = ....................................................... (Total for Question 21 is 5 marks) ___________________________________________________________________________ P59756A © 2020 Pearson Education Ltd. 22 Triangle HJK is isosceles with HJ = HK and JK = H is the point with coordinates (−4, 1) J is the point with coordinates ( j, 15) where j < 0 K is the point with coordinates (6, k) M is the midpoint of JK. The gradient of HM is 2 Find the value of j and the value of k. P59756A © 2020 Pearson Education Ltd. 80 j = ....................................................... k = ....................................................... (Total for Question 22 is 6 marks) ___________________________________________________________________________ TOTAL FOR PAPER IS 100 MARKS P59756A © 2020 Pearson Education Ltd. ...
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