GCSE Mathematics Edexcel Predicted Paper 2023 Higher Paper 3 with correct marking scheme

GCSE Mathematics Edexcel Predicted Paper 2023 Higher Paper 3 with correct marking scheme Name ……………………………………………… Date ……………………………………………… 1 hour 30 minutes allowed Calculator Paper Maximum Mark: 80 Grade boundaries These are VERY rough guesses! Getting a 7 on this paper does not guarantee you the same mark in the exam. • 9 70 • 8 60 • 7 50 • 6 40 • 5 30 • 4 20 5 1 Point A is translated by the vector to give point B. -2 Point B has the co-ordinates (4,2). What are the co-ordinates of point A? [1 mark] 2 State the value of π to three significant figures. [1 mark] 3 Circle the list of integer values which satisfy the inequality 2.5  x  5 [1 mark] -2, -1 ,0,1,2,3,4,5 -3, -2, -1, 0, 1, 2, 3, 4 -2, -1, 0, 1, 2,3,4 -2, -1,1, 2, 3, ,4 4 Work out the midpoint of the points (-6, 3) and (-10, -2). [1 mark] 5 (-3, y ) is a point on the line 2 y  6x  24 Work out the value of y [2 marks] 6 An isosceles triangle has a base of length (x  6) cm and a perpendicular height of 18cm. The triangle has an area of 122.0931cm2 Work out the value of x [3 marks] 7 Here is the pricing structure at a conference venue. 7(a) Kiran wants to hire the venue for 7 hours. She wants to accommodate 170 guests. Work out the total cost of the venue hire. [4 marks] 7(b) Kiran says, “If I invite less guests, the total venue hire cost must be less.” Use an example to prove that she is not correct. [2 marks] 8 A sector of a circle with radius 2.6 centimetres (A) is enlarged by a scale factor of 2.5 to give shape B. A B Work out the value of Area of B – Area of A. Give your answer to two significant figures. [4 marks] 9 There are 675 girls in a school. 54% of the students are girls. 72% of the boys speak only one language. A student is chosen at random. Work out the ratio of Number of boys who speak more than one language : Number of girls in its simplest form. [4 marks] 10 A fork is made of Stainless Steel Stainless Steel has a density of 7.48g / cm3 The fork has a mass of 28 g. Work out the volume of the fork, giving your answer in cm3. [2 marks] 11 Solve 12  3  1 x 2 [2 marks] 12 Factorise 2x2  6x  8 [2 marks] 13 Shelby says, “The lines 6x  3y  24 and 6x 15 y  30  0 are parallel as they both have a gradient of 6x .” Is she correct? Show working to support your answer. [3 marks] 14 Here is a Venn diagram: Use set notation to describe the shaded set. [1 mark] 15 A water tank is a cylinder with radius 250 cm and depth 1200 cm. There is no top face to the tank, so that water can be poured in. 1200 cm The entire outside of the tank is to be painted in red paint. Red paint costs £6 per litre. 1 litre of red paint covers 10m2. Work out how much it will cost to paint the tank. [5 marks] 16 Here is a method used to make a 6-digit code. How many possible combinations of the code are there? You must show your working. [3 marks] 17 Here is some information about the journey times to work of 40 employees. Journey time in minutes (t) Frequency 0<t≤5 1 5<t≤12 4 12<t≤25 12 25<t≤35 14 35<t≤50 9 Draw a cumulative frequency graph on the grid below to show this data. [4 marks]