2 a Ramesh is doing a survey to measure the time taken to solve a puzzle. He records the time taken in minutes.

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1 Cambridge Essentials Mathematics Core 9 S End-of-unit Test S End-of-unit Test Here are five numbers. Find the following. the mode the median the mean the range 2 a Ramesh is doing a survey to measure the time taken to solve a puzzle. He records the time taken in minutes. Which of these boxes describes Ramesh s data? 4 marks Quantitative Qualitative Neither of these b Which of the boxes below describes Ramesh s data? Discrete Continuous Neither of these Original material Cambridge University Press 200

2 Cambridge Essentials Mathematics Core 9 S End-of-unit Test 3 Look at the scatter graphs. Graph A Graph B Graph C a Which scatter graph shows negative correlation? A B C b Which scatter graph shows strong correlation? A B C 4 This two-way table shows some information about the number of boys and girls in each of three form groups. 9A 9B 9C Total Boys 6 4 Girls 3 Total Complete the table. 2 marks Original material Cambridge University Press 200 2

3 Cambridge Essentials Mathematics Core 9 S End-of-unit Test In a survey, 60 people were asked: Here are the results. When do you eat your largest meal of the day? Breakfast 0 Lunch Dinner 3 Complete the pie chart to show this information. 2 marks Original material Cambridge University Press 200 3

4 Cambridge Essentials Mathematics Core 9 S End-of-unit Test 6 Students are investigating the size of fish in a lake. They want to collect some fish and measure their length. They plan to throw a net in once from the side of the lake, and measure the length of any fish they catch. Give two reasons why this sample of fish may not be representative of all the fish in the lake. st reason 2nd reason Jill asked 0 students: What is your favourite subject? Here are her results. Maths Drama PE English PE Drama Science ICT Drama ICT a Is it possible to work out the mean of these results? Yes No b Is it possible to work out the mode of these results? Yes No Original material Cambridge University Press 200 4

5 Cambridge Essentials Mathematics Core 9 S End-of-unit Test 8 The scatter graph shows the ages of some cars plotted against their values. a What type of correlation does the scatter graph show? b Draw a line of best fit on the scatter graph. c Another car was three years old. Estimate the value of this car. d Carol used this scatter graph to estimate the value of a car six years old. Explain why this might not be a reliable estimate. Original material Cambridge University Press 200

6 Cambridge Essentials Mathematics Core 9 S End-of-unit Test 9 Mia has 20 bags. Each bag contains some sweets. The table shows some information about how many sweet are in the bags. Number of sweets in a bag Frequency Calculate an estimate for the mean number of sweets in the bags. 3 marks 0 Lyle is in a spelling competition. To get into the semi-finals, his mean mark over six rounds must be at least 20. His mean mark after five rounds is 9. To get into the semi-finals, what mark does he need in the 6th round? END OF ASSESSMENT 2 marks Original material Cambridge University Press 200 6

7 Cambridge Essentials Mathematics Core 9 S End-of-unit Test S End-of-unit Test Teacher Guidance Units covered: S., S.2, S.3 Guide to Levels. Level Description Finding the mean, mode, median, range from discrete data Classifying types of data 6 Choosing appropriate measures of average Identifying correlation Drawing a pie chart; completing a two-way table Criticising and improving survey methods Justifying the use of statistical presentation Drawing and using scatter diagrams; using a line of best fit; deducing correlation Finding an estimate for the mean from a grouped frequency table Using means in calculation Answers Question Level Mark Answer Notes a b c d a b Quantitative and reason Continuous for Quantitative and reason for Continuous and reason 3 a b 6 6 and reason A and reason C and reason , for A and reason e.g. one variable goes up, other goes down for C and reason e.g. points closer to a line 2 marks for all four correct, or for just two correct 6 2 Pie chart 2 marks for other two sectors with angles at 60±2 and 90±2 and labelled, for two sectors with angles unlabelled or angles calculated but not drawn 6 6 a 6 b 6 st reason 2nd reason No and reason Yes and reason for No and reason e.g. not quantitative for Yes and reason e.g. drama, the most popular Original material Cambridge University Press 200

8 Cambridge Essentials Mathematics Core 9 S End-of-unit Test 8 a b c d Negative Line drawn Reason for good line of best fit for answer within range for reason e.g. no data/graph beyond for use of midpoints (fx) for sum and divide by 20 for answer for mean calculation (9 or 6 20) NB: Levels are approximate only. Suggested guidance on overall level based on performance: Level Level 6 Level Total marks 3 marks 8 marks 2 marks NB: Levels are approximate only. Original material Cambridge University Press 200 8