11 original questions, 36 marks. Type your answers below for an instant mark and a score (algebra in any equivalent form, e.g. 2sqrt(3) or 2√3), or print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.
Write down the type of correlation you would expect to see in a scatter graph of each of the following.
The daily temperature and the number of ice creams sold at a kiosk.
The age of a car and its value.
2 marks
Show answer
a) positive correlationb) negative correlation
2
Here are three scatter graphs, A, B and C.
For each graph, write down the type of correlation it shows.
3 marks
Show answer
A) positiveB) negativeC) no correlation
3
There are 200 pupils in Year 7 at Hillside School.
Jamal asks 50 of the Year 7 pupils how they get to school. 30 of them say they walk.
Estimate how many of the 200 Year 7 pupils walk to school.
Jamal asked the 50 pupils as they arrived through the main gate, which is next to the bus stop. Give one reason why his estimate might not be good for the whole of Year 7.
3 marks
Show answer
a) 120b) The sample is biased: pupils who use the bus stop gate are over-represented, so it may not represent all of Year 7
4
A PE teacher measures the height and the arm span of 8 Year 7 pupils.
Height (cm)
138
142
145
147
150
152
155
158
Arm span (cm)
135
143
144
149
148
153
154
160
On the grid, plot the points to complete the scatter graph.
Describe the relationship between height and arm span.
3 marks
Show answer
a) 8 points plottedb) positive correlation: the taller the pupil, the longer the arm span tends to be
5
The scatter graph shows the number of hours of sunshine and the number of visitors to a country park on each of 10 days.
Describe the correlation shown by the scatter graph.
On another day there were 7.5 hours of sunshine. By drawing a line of best fit, estimate the number of visitors to the park on this day.
3 marks
Show answer
a) positive correlationb) approximately 160 (accept 150-175)
6
The scatter graph shows the outside temperature and the number of hot chocolates sold by a school canteen on 9 days.
Describe the correlation.
Draw a line of best fit on the scatter graph.
Use your line to estimate the number of hot chocolates sold on a day when the temperature is 9°C.
Use your line to estimate the temperature on a day when 42 hot chocolates are sold.
4 marks
Show answer
a) negative correlationb) a straight line through the middle of the pointsc) about 31 (accept 28 to 34)d) about 4.5°C (accept 3.5 to 5.5)
7
40 students each chose one sport. 15 chose football and 6 chose tennis. Ellie is going to draw a pie chart of the results.
Work out the angle Ellie should use for football.
Work out the angle Ellie should use for tennis.
3 marks
Show answer
a) 135b) 54
8
30 pupils were asked to name their favourite flavour of crisps.
Flavour
Frequency
Salt and vinegar
9
Cheese and onion
7
Ready salted
10
Prawn cocktail
4
Draw an accurate pie chart for this information.
4 marks
Show answer
Salt and vinegar 108°, Cheese and onion 84°, Ready salted 120°, Prawn cocktail 48°
9
A pie chart shows information about the members of a leisure centre.
The sector for swimming has an angle of 72° and represents 18 members.
Work out the total number of members of the leisure centre.
3 marks
Show answer
90
10
The pie chart shows how 60 pupils travel to school.
What fraction of the pupils walk? Give your answer in its simplest form.
How many pupils travel by car?
How many more pupils walk than travel by bus?
4 marks
Show answer
a) 5/12b) 14c) 10
11
Two schools each drew a pie chart to show their students' favourite lunch.
School
Number of students
Angle for pizza
School A
80
45°
School B
240
30°
Sam says, "More students chose pizza at School A than at School B, because the angle for pizza is bigger at School A."
Is Sam right? You must show your working.
4 marks
Show answer
No. School A: 45360 of 80 = 10 students. School B: 30360 of 240 = 20 students. More students chose pizza at School B
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Every question here is original and written by Robinson Tuition. It follows the Key Stage 3 programme of study; Year 9 sheets end with extension questions for top sets.