PEARSON EDEXCEL A LEVEL JUNE 2023 MATHEMATICS QUESTION PAPER 1.

TESTED AND CONFIRMED A+ ANSWERS A B C The sets A, B, and C are as follows: A = {1, 2, 3, 5, 6, 7} B = {2, 3, 4, 5, 8, 9} C = {1, 4, 5, 10}. (a) Complete the Venn diagram below. (b) List the elements of each of the following sets. A  B = A C = A  (B  C) = (c) Complete the following identity. A  (B  C) = (A  B)  ( ) If you need a professional to complete your college homework at a small fee, then reach out to H Question 2 ( (a) David weighs 88 kg. The average male triathlete of his height weighs 83 kg. If David aims to reach this weight, what percentage decrease is required? Give your answer correct to two decimal places. (b) Mary’s house was worth €200000. Mary increased the value of her house by 15% by building a conservatory. She then increased its value by a further 10% by repaving the driveway. Find the total percentage increase in value. Question 3 (Suggested maximum time: 10 minutes) page running Eleanor has a gross income of €38500 for the year. She has an annual tax credit of €3300. The standard rate cut-off point is €33800. The standard rate of income tax is 20% and the higher rate is 40%. (a) Find Eleanor’s net income for the year (i.e. after tax is paid). Eleanor receives a pay rise. As a result, her net income for the year is €34 780. (b) Find Eleanor’s new gross income for the year. Question 4 (Suggested maximum time: 5 minutes) Let f (x) = 3x + 5, for x  ℝ. (a) Find the value of f (7). (b) Write f (k ) in terms of k. (c) Using your answer to part (b), or otherwise, find the value of k for which f (k ) = k. Question 5 (Suggested maximum time: 10 minutes) page running The Kelvin scale is one way of measuring temperature. To convert a temperature from degrees Fahrenheit (F) to kelvin (K), you: add 459·67 to F, then multiply your answer by 5 and divide by 9. (a) Convert 212 degrees Fahrenheit (F) to kelvin (K). (b) Write an algebraic formula to express K in terms of F. K = If you need a professional to complete your college homework at a small fee, then reach out to H (c) Hence, or otherwise, convert 400 kelvin (K) to degrees Fahrenheit (F)