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Reasoning: Statistics - Worksheets, Questions and Revision

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KS2 · Statistics

KS2.M-R5 Reasoning: Statistics

STA NC-KS2-MA-STATS · Calculators not allowed · about 75 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
A group of Year 4 pupils were asked to choose their favourite drink. The pictogram shows the results.
Favourite Drinks = 2 pupils = 1 pupil Water Juice Milk Squash
(a)How many pupils chose Milk?(1)
(b)How many more pupils chose Squash than Water?(1)
2
The bar chart shows the rainfall, in mm, recorded at a school in Cumbria over five days.
0 1 2 3 4 5 6 7 8 9 10 Rainfall (mm) Mon Tue Wed Thu Fri
(a)Which day had the least rainfall?(1)
(b)Work out the total rainfall for Tuesday and Friday combined.(2)
3
The table shows the number of goals scored by five players in a Sunday league football season.
Priya 12 | Kwame 9 | Freya 15 | Oliver 6 | Isla 11
(a)Who scored the most goals?(1)
(b)Work out the range of the number of goals scored.(1)
4
A survey asked pupils in Year 6 whether they prefer chess or football. Some totals are missing from the two-way table.
ChessFootballTotal
Boys712?
Girls9?17
Total??36
Chess Football Total Boys Girls Total 7 12 ? 9 ? 17 ? ? 36
(a)Complete the table by finding the missing Boys total, the missing Girls Football value, and the missing Football column total.(3)
(b)How many more girls than boys chose chess?(1)
5
The line graph shows the temperature, in degrees Celsius, at a school in Leeds during one day.
0 2 4 6 8 10 12 14 16 18 20 8am 10am 12pm 2pm 4pm 6pm Time Temperature (°C)
(a)At what time was the temperature highest?(1)
(b)Work out the difference in temperature between 8am and 2pm.(2)
(c)Describe what happens to the temperature between 2pm and 6pm.(1)
6
During a reading challenge, six pupils recorded the number of books they read in a month: 4, 7, 5, 8, 6, 6.

Calculate the mean number of books read.
(3)
7
The pie chart shows how 60 pupils in Year 5 travel to school.
How pupils travel to school Walk 1/2 Car 1/4 Bus 1/6 Bike 1/12 Total = 60 pupils
(a)What fraction of the pupils travel by car?(1)
(b)Work out how many pupils travel by bus.(2)
(c)Work out how many pupils travel by bike.(2)
8
Two classes were asked what pets they own. The bar charts show the results for Class 5C and Class 5F (20 pupils in each class).

Class 5C: Dogs 8, Cats 6, Fish 4, None 2
Class 5F: Dogs 5, Cats 9, Fish 3, None 3
Class 5C Class 5F 0 2 4 6 8 10 Number of pupils 8 6 4 2 Dogs Cats Fish None Pet owned 0 2 4 6 8 10 Number of pupils 5 9 3 3 Dogs Cats Fish None Pet owned
(a)Which class has more pupils who own a cat?(1)
(b)Work out how many more pupils, across both classes combined, own a dog than own a fish.(2)
9
The heights, in cm, of five friends are 132, 128, 135, 130 and x. The mean height of the five friends is 131 cm.

Show that x = 130.
(2)
10
The table shows part of a bus timetable.
NewtownMillfieldOakham
Bus A09:0509:3209:58
Bus B09:4010:0310:35
(a)How long does Bus A take to travel from Newtown to Oakham?(1)
(b)Amara arrives at Millfield station at 09:50. Work out how long she must wait for the next bus to Oakham.(2)
11
A garden centre recorded the number of packets of seeds sold each month. The total for the four months shown was 210 packets.
March 45 | April 62 | May x | June 58
(a)Work out the number of packets sold in May.(2)
(b)Which month had the highest sales?(1)
12
A rain gauge pictogram shows the rainfall, in cm, collected over 4 weeks.

Key: @ = 4 cm, half@ = 2 cm

Week 1: @ @ @
Week 2: @ @ half@
Week 3: @ @
Week 4: @ half@
Rainfall recorded over 4 weeks (cm) Key: = 4 cm = 2 cm Week 1 Week 2 Week 3 Week 4
(a)How much rain fell in Week 3?(1)
(b)The average expected rainfall for a 4-week period at this location is 40 cm. Work out by how much the actual total for these 4 weeks was below average.(3)
13
In a survey of 30 pupils, 12 said they like Maths only, 9 said they like Science only, and 5 said they like both Maths and Science.
30 pupils Maths Science 12 5 9 4
(a)How many pupils like neither Maths nor Science?(1)
(b)How many pupils like Maths altogether (Maths only, plus both)?(2)
14
The bar chart shows the number of laps swum by four swimmers in a school gala.
Laps swum by four swimmers 25 30 15 20 0 5 10 15 20 25 30 Ben Chidi Grace Priya Swimmer Number of laps
(a)How many more laps did Chidi swim than Grace?(1)
(b)Work out the mean number of laps swum by the four swimmers.(2)
15
Four pupils recorded the number of minutes they spent reading one evening: 22, 15, 30 and 25. A fifth pupil, whose reading time is x minutes (a whole number), is added to the data. The range of all five values is 18 minutes.

Find the two possible values of x.
(3)
16
A survey of 80 pupils' favourite sport is shown in a pie chart: Football 40%, Swimming 25%, Athletics 20%, Other 15%.
Favourite sport (80 pupils surveyed) Football 40% Swimming 25% Athletics 20% Other 15%
(a)How many pupils chose Athletics?(1)
(b)The following year, the same 80 pupils were surveyed again. The number who chose Swimming had increased by 20% compared with the first survey. Work out the number of pupils who chose Swimming in the second survey.(2)
(c)In the second survey, the number of pupils who chose Other stayed the same as in the first survey. Work out how many fewer pupils chose Other than chose Swimming in the second survey.(2)
17
A tank is being filled with water. The line graph shows the volume of water, in litres, in the tank over time.
Volume of Water in Tank 0 5 10 15 20 0 10 20 30 40 50 60 70 80 90 100 Time (minutes) Volume (litres)
(a)Between which two times did the volume of water in the tank stay the same?(1)
(b)Work out the rate at which the tank was filling, in litres per minute, while the water was flowing.(2)
(c)The tank holds 100 litres when full. If the tap continues to flow at the rate found in part (b) from the 20 minute mark, work out how many more minutes it will take until the tank is full.(3)
18
Two teams' scores in five matches were recorded.

Hawks: 12, 15, 14, 13, 16
Kestrels: 8, 20, 10, 22, 15
(a)Calculate the range of scores for each team.(2)
(b)Which team's scores were more consistent? Explain your answer using your ranges from part (a).(1)
19
The mean age of 5 members of a family is 24 years. Four of the ages are 8, 45, 12 and 40. The fifth member's age is x years.
(a)Show that x = 15.(2)
(b)A sixth family member, aged y years, joins the family. The new mean age of all six members is 22 years. Work out y.(2)
20
A survey of 50 pupils' favourite crisp flavour is shown in an incomplete bar chart. Cheese scored 18. Salt & Vinegar scored half of Cheese's total. Plain scored 4 more than Salt & Vinegar. Prawn Cocktail scored the remainder of the 50 pupils.
Favourite crisp flavour (survey of 50 pupils) 0 2 4 6 8 10 12 14 16 18 20 Number of pupils Cheese Salt & Vinegar Plain Prawn Cocktail Crisp flavour
(a)Work out the missing values for Salt & Vinegar, Plain and Prawn Cocktail.(3)
(b)Which flavour was the least popular?(1)
Mark scheme · KS2.M-R5 Reasoning: Statistics

Question 1

Question 2

Question 3

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Question 5

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