S4 EXAMS PRELIMS : CREDIT PAPER 1 SOLUTIONS

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Presentation transcript:

S4 EXAMS PRELIMS : CREDIT PAPER 1 SOLUTIONS do not copy questions or solutions ask your teacher for further help if required

Summary Sheet This sheet is your only record of your exam performance. It will help you focus on topics which require revision.

Question 1

Question 2

Question 3a

Question 3b

Question 4

Question 5 For the graph shown, find the values of a and b. 6 units amplitude 6 units , a = 6 2 cycles in 360° , b = 2

Question 6 A group of 50 library users were questioned about their preferred reading material. Their responses are summarised in the table. What is the probability that a person chosen at random from this group is male? (b) In a sample of 300 library users, how many would be expected to be a female whose preferred reading material is non-fiction?

Question 6 TOTAL = 50 people 7 + 14 = 21 male, (b) 9 female and non-fiction,

Question 7 The line drawn through the point P (9, 8) meets the y-axis at the point (0, 2) as shown. Find the equation of the line. The line meets the x-axis at the point (a, 0). (b) Find the value of a.

Question 7a

Question 7b

Question 8 A ski jump is in the shape of part of a parabolic curve. It is supported by vertical columns spaced every 2 metres as shown in the diagram below. The height of a column, h metres, is given by the formula where n metres is the horizontal distance of the column from the end of the ski jump and a and b are constants.

Question 8

Question 8

Question 9 The cost of posting a letter depends on its mass in grams, as given in the table below. (a) Calculate the cost in pence of posting a 45 gram letter. (b) Express, in simplest form, the cost in pence of posting a letter which has a mass of w grams, where w has a value between 50 and 75.

Question 9a Calculate the cost in pence of posting a 45 gram letter.

Question 9b Express, in simplest form, the cost in pence of posting a letter which has a mass of w grams, where w is between 50 and 75.

Question 10 Change the subject of the formula to r :

Question 11 The diagram below shows part of the graph of a quadratic function, with equation of the form . The graph cuts the x-axis at the points P (-1, 0) and Q (5, 0). (a) Write down the values of a and b. R is the minimum turning point of the graph of the function. (b) Find the coordinates of point R. (c) Calculate the area of the triangle PQR.

Question 11a The diagram below shows part of the graph of a quadratic function, with equation of the form . The graph cuts the x-axis at the points P (-1, 0) and Q (5, 0). Write down the values of a and b.

Question 11b R is the minimum turning point of the graph of the function. Find the coordinates of point R.

Question 11c Calculate the area of the triangle PQR.

THE END Any further questions, ask your class teacher. Use your exam performance to help you focus on topics which require revision.