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Question 1 - 25 marks This question is based on your work on MU123 up to and including Unit 3. (a) (i) Use a factor tree or similar method to write 7056 as a product of prime factors. Display your factor tree in your answer. If you choose to use an alternative method, then clearly show your working: just writing down the answer is not sufficient. [4] (ii) Calculate 1 13 + 21 leaving your answer as a fraction in its simplest form, showing all your working [4] (iii) Simplify the surd 6V/4 V24 + V54 by writing it as a surd in its simplest form, showing your working. [3] (b) A group of 432 students are required to take a test. Of these, 384 actually take the test, and 48 are absent that day. (i) Write down the ratio of the number of students who take the test to the number of students who are absent. Simplify this ratio as far as possible. [3] (ii) Of the 384 students who take the test, the numbers of students obtaining grades A, B, C and D are in the ratio 6 : 12 : 10 : 4, respectively. Calculate the number of students obtaining each grade. Explain how you could check that your answers are plausible. [4] (c) Ashleigh Barty played in tennis matches for a total of 7 hours and 33 minutes to win the 2022 Australian Open women's singles title and end a 44-year wait for a local singles champion. The winner's prize money was $2 875 000 (Australian dollars). (i) Calculate how long Ashleigh played (in minutes) for each dollar that she won in this tournament. Give your answer to three significant figures in both ordinary notation and scientific notation. [4] (ii) Calculate how much Ashleigh won (in dollars) for each hour that she played in this tournament. Give your answer to three significant figures in both ordinary notation and scientific notation. [3]