GCSE Mathematics Edexcel Predicted Paper 2023 Higher Paper 1 with correct marking scheme

GCSE Mathematics Edexcel Predicted Paper 2023 Higher Paper 1 with correct marking scheme Name ……………………………………………… Date ……………………………………………… 1 hour 30 minutes allowed Non-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 1 k 3  125 Calculate the value of [1 mark] 2 The bearing of B from A is 120° Calculate the bearing of A from B. [1 mark] 3 Work out the value of sin 30 [1 mark] 4 Circle the geometric progression. [1 mark] 3,5,7,9,11,13 2,5,10,17,26,37 5,15,45,135,405,1215 2,4,6,10,16,26,42 5 a is a multiple of 6 and 12 b is a factor of 270 and 36. Work out the greatest value of b , leaving your answer as a fraction a in its simplest form. [4 marks] 6 Here is some information about the time taken for 20 people to complete a task. Number of minutes taken t Frequency Midpoint 0≤t6 1 6≤t12 3 12≤t18 12 18≤t24 3 24≤t30 1 6a. Work out an estimate of the mean number of minutes taken. [4 marks] 6b. Simran says, “The mean time taken 18 minutes and above is 3 of the overall mean time”. 2 Is she correct? Show working to support your answer. [2 marks] 7 On the grid below, drawn the line with the equation 3y  9  6x [1 mark] 8 16x  35  ax  b 10 Work out the values of a and b [2 marks] 9 q is ten percent of p r is ten percent more than the sum of q and p Work out the ratio p : q : r in its simplest form . [3 marks] 10 Riva and Binny are buying bicycles. The two shops are having a sale. Here is the price label for a certain bicycle in shop A. The price of the bicycle in Shop B is the same as the price of the bicycle in Shop A before discount is applied. Prove that it is cheaper for Binny and Riva to buy two of these bicycles from Shop B than Shop A. [4 marks] 11 a is directly proportional to b2 When a  20 , b  11a. Work out the value of b when a = 80 [3 marks] 11b. In fact, when a  20 , b  How does this affect your answer to part (a)? [1 mark] 12 ABC and DEF are parallel straight lines. Work out the values of a and b. [3 marks] 13 Solve x2  x  6  0 [3 marks] 14 In a sandwich shop there is a meal deal. There are 15 choices of sandwich, with each being available in brown or white bread. There are 12 choices of snack. There are 5 choices of drink. How many different combinations of the meal deal are there? [2 marks] 15 There are 28 cubes in a bag. The cubes are only red and blue, A seventh of the cubes are red. Mo takes a cube from the bag randomly and then puts it back. Omar takes a cube from the bag randomly and then puts it back. Mo then takes another cube from the bag randomly. Work out the probability that all three cubes chosen are the same colour. Give your answer as a fraction. [4 marks]