Highlights
Task:
Part 1
Question 1 Explain the terms (a) numerator, (b) denominator. (4 marks)
Question 2 Express 24/40 and 18/42 in their simplest forms. (4 marks)
Question 3 a) Express the fractions 2/3, 3/4 and 5/6 as equivalent fractions with a denominator of 12. (3 marks) 1 & 2 1 & 2 Explain each term. Citing a reference for each term is not mandatory. For higher marks, give an example in each case. In answering Question 2, reduce both fractions to their simplest terms. In answering Question 3a, you are expected to convert each fraction but not to carry out any additions. b) A library contains 60,000 books. 14,000 are on the subject of business, 22,000 are on healthcare and 12,000 on psychology and law. What percentage of the library’s books is on computing, if computing books make up twothirds of the remainder? (4 marks) Question 4 A sports shop in Manchester is doing a sale on some merchandise. Liz hears about it and goes to make a purchase of two pairs of running shoes. She gives the sales attendant in the store three crisp £50 notes and is given change of £10.50. What is the price of each pair of running shoes? Show your working. (6 marks) Question 5 a) What is 240.50 x 19.54? Give your answer to 2 significant figures. (4 marks) b) Write the number 52100 as a power of 10. (2 marks) Question 6 a) As a promotional offer, a new gym is offering a 30% discount to those who sign up in the first month. Patty and her 2 siblings take advantage of the offer and sign up for total amount of £210. What were the total savings made? Show your working. (5 marks) 1 & 2 1 & 2 In answering
Question 3b, visualise the scenario. The answer expected is a percentage, not the actual quantity number of computing books. You need to show your working. In answering Question 4, again visualise the scenario: How much did she give them? How much change was she given? How much did she spend? What was the price of each pair of running shoes? Again, show your working. This is a question about money, so your final answer should reflect this. In answering Question 5a, remember that significant figures and decimal places are NOT the same thing. In writing your answer for Question 5b, write the power of 10x in a superscript format as shown (using the superscript formatter in Microsoft Word).
In answering Question 6a, think about what the discount means. What would have been the full price if there was no discount? How much are they saving? Do take note of the word ‘total’, reflecting how much was paid altogether (as a group) by Patty and her siblings. Show your working. This is a question about money, so your final answer should reflect this. b) Work out the average savings per person. (3 marks)
Question 7 Work out the following:
a) 3/4 - 7/9 + 2/3 (4 marks)
b) Which is the largest of the following numbers? 0.1, 0.02, 0.003, 0.0004, 0.00005
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