Foundation Higher Data Assessment Calculator allowed for all questions MATHSWATCH All questions Time for the test: 45 minutes Name: MATHSWATCH ANSWERS Grade Title of clip Marks Score Percentage Clip 4 D Data collection (qu. ) Clip 5 D Two-way tables (qu. ) Clip 6 D Pie charts (qu. ) Clip 7 D Scatter graphs (qu. 4) 5 Clip D Frequency diagrams (qu. 5) Clip 4 E to G Pictograms (qu. 6) 4 Clip 9 D Stem and leaf diagrams (qu. 7) Clip 40 E to G Probability scale (qu. ) 4 Clip 4 E to G Averages (qu. 9) 7 Clip C Averages from a table (qu. 0, ) 0 Clip 4 C Questionnaires (qu. ) 4 Clip 90 D List of outcomes (qu. ) Clip 9 C Exclusive events (qu. 4, 5) 4 Clip C Experimental probability (qu. 6, 7) 4 Out of 60 TOTAL SCORE % FINAL PERCENTAGE
) Tony wants to know which sport pupils like watching on TV. Design a suitable data collection sheet he could use to gather the information. Sport Tally Frequency Football Cricket Rugby Athletics Swimming Other ) 0 students each study one of three languages. The two-way table shows some information about these students. French German Spanish Total Female Male 4 0 7 5 4 Total 4 0 of the 0 students are female. 4 of the female students study French. Complete the two-way table. Page
) Susan asked some people which region their favourite football team came from. The table shows her results. Region Frequency Midlands 5 London Southern England 9 Northern England 4 90 Angle 00 6 96 60 Draw an accurate pie chart to show these results. Use Complete the circle the accurate given below. pie chart to show these results. Use the circle given below. Northern England Midlands Southern England London Page
4) The table below shows the Module results for students. The results show what they got in Stage and Stage of their examination. Stage 4 4 0 0 4 6 5 4 Stage 6 0 5 6 The first 6 results have been plotted on the scatter diagram below. 50 40 Stage 0 0 0 0 0 0 0 0 40 Stage a) Plot the next six points. b) Draw a line of best fit. c) Describe the relationship between Stage and Stage results. Positive correlation d) If a pupil scored in the stage test, use the line of best fit to estimate their score in Stage. 6 Page 4
5) 60 students take a maths test. The test is marked out of 50. This table shows information about the students marks. Maths mark 0-0 - 0-0 - 40 4-50 Frequency 5 6 9 On the grid, draw a frequency polygon to show this information. 0 9 7 6 5 4 Frequency 0 9 7 6 5 4 0 0.5 5 7.5 0.5 5 7.5 0.5 5 7.5 0.5 5 7.5 40 4.5 45 47.5 50 5.5 Maths mark Page 5
6) Peter talks to the owner of each house in his street. He asks how many cars they have. The pictogram shows the results. 4 cars cars is two houses cars car 0 cars a) How many houses have only car? 0 b) How many houses have more than cars? 9 c) How many houses are there in Peter's street? d) How many cars are there in Peter s street? 56 7) Jane measures the heights, in millimetres, of 0 plants in her greenhouse. Here are her results. 7 9 46 47 66 67 5 7 64 5 9 66 65 55 5 47 5 4 5 7 Complete the stem and leaf diagram to show this information. Stem Leaf 4 6 7 7 5 5 6 4 5 6 6 7 7 means 7 7 9 9 Page 6
) There are eight counters in a bag numbered to. Each one is equally likely to be taken from the bag. D B A C 0 On the number line i) Mark with the letter A the probability of taking out an even number. ii) Mark with the letter B the probability of taking out the number 7. iii) Mark with the letter C the probability of taking out numbers to 6. iv) Mark with the letter D the probability of taking out the number 0. 9) Sara wrote down a list of her homework marks. They were as follows:,, 4, 9,, 6, 5,, 6, a) What was her mean homework mark? 6.5 b) What was her median homework mark? 7 c) What was her modal homework mark? d) What was the range of her homework marks? 6 0) Twenty students scored goals for the school football team last month. The table below gives information about how many each of them scored. Goals scored Number of students 5 0 4 4 5 5 6 6 0 56 a) What was the modal number of goals scored? b) What was the mean number of goals scored?. c) What was the median number of goals scored? Page 7
) The heights of 00 plants were measured and the results can be seen in the table below. Height(cm) Frequency 0 < h < 0 0 < h < 0 0 < h < 0 4 0 < h < 40 4 40 < h < 50 MP 5 5 5 5 45 MP F 05 45 50 490 60 00 50 Work out an estimate for the mean height of the plants. (Show all workings) 50 00 =.5 Estimate for the mean height is.5cm ) Paul wants to find out how much time pupils in his class spend sleeping. The first question on his questionnaire is How long do you sleep? A lot Not much Very little a) Write down two things that are wrong with this question: st nd A lot, not much, etc mean different things to different people Is the question about amount of sleep in a day, week, month, etc? b) Design a better question, using tickboxes, that Paul could use. How long do you sleep each night? Less than 6 hours? Between 6 and hours? More than hours? Other answers are possible Page
) If a coin is flipped and a dice is rolled a) How many different outcomes can there be? b) List all the possible outcomes H H H H4 H5 H6 T T T T4 T5 T6 4) If the probability of passing a driving test is what 7 is the probability of failing? 4 5) A box contains bricks which are orange or blue or brown or yellow. David is going to choose one brick at random from the box. The table shows each of the probabilities that David will choose an orange brick or a brown brick or a yellow brick. Colour Orange Blue Brown Yellow Probability 0. 0. 0.7 Work out the probability that Duncan David will choose a blue brick. 0. 6) On a biased dice, the probability of getting a 6 is 0. If the dice is rolled 00 times, about how many sixes would you expect? 60 7) A biased dice is rolled and the results can be seen in the table. The dice is rolled once more. Use the table to work out an estimate for the probability 9 that a six will be rolled. 00 Score Frequency 4 6 4 9 5 0 6 9 Page 9
Mark % Mark % 5 5 5 55 4 7 4 57 5 5 5 6 0 6 60 7 7 6 6 9 5 9 65 0 7 40 67 4 6 0 4 70 4 7 4 44 7 5 5 45 75 6 7 46 77 7 47 7 0 4 0 9 49 0 50 5 5 5 7 5 7 5 4 40 54 90 5 4 55 9 6 4 56 9 7 45 57 95 47 5 97 9 4 59 9 0 50 60 00 Page 0