Swiss Cottage Mock WA2 2023.QP

SWISS COTTAGE SECONDARY SCHOOL SECONDARY FOUR MOCK WA2 O Name: ( ) Class: MATHEMATICS Candidates answer on the Question Paper. 38 mins READ THESE INSTRUCTIONS FIRST Write your class, index number and name on all the work you hand in. Write in dark blue or black pen. You may use an HB pencil for any diagrams or graphs. Do not use staples, paper clips, glue or correction fluid. Answer all the questions. If working is needed for any question it must be shown with the answer. Omission of essential working will result in loss of marks. The use of an approved scientific calculator is expected, where appropriate. If the degree of accuracy is not specified in the question and if the answer is not exact, give the answer to three significant figures. Give answers in degrees to one decimal place. For , use either your calculator value or 3.142, unless the question requires the answer in terms of . The number of marks is given in brackets [ ] at the end of each question or part question. The total number of marks for this paper is 25. This document consists of 9 printed pages. [Turn over Home of Thoughtful Leaders: Serve with Honour, Lead with Humility Qn Mark Concept Application Careless Student Analysis/Remarks 1 4    2 8    3 9    4 4    Total Mark 25 Parent’s Signature

2 Mathematical Formulae Statistics Mean = fx f  Standard deviation = 22fx fx ff  

3 1 The cumulative frequency graph shows the distribution of the scores of 60 students in a test. (a) Use the curve to find ( i ) the percentage of students who scored at least 16 marks, Answer …………………………… % [1] ( i i ) the median score, Answer ……………………………… [1] 0 Cumulative Frequency Score

4 (iii) the interquartile range. Answer ……………………………… [1] (b) Three students were found cheating during the test. Their scores were 13, 17 and 19. The mean score for the test was 25. Given that their scores were removed from the list, describe how this would affect the mean. Answer …………………………………………………………………………… …………………………………………………………………………… …………………………………………………………………………… [1]

5 2 Mevin set up a stall at a bazaar selling face masks, hand sanitisers and hand wash. The selling prices of the items were $2.50, $3 and $4.50 respectively. The table below shows the quantity of each item sold at different periods of the day over two weeks. Week 1 Week 2 F a c e mask Hand sanitiser Hand wash Face mask Hand sanitiser Hand wash Morning 105 98 71 84 75 12 Afternoon 54 43 20 42 39 35 Evening 161 102 68 93 51 24 The quantity of the items sold for the two weeks can be represented by the matrices A 105 98 71 54 43 20 161 102 68  and