Year 6 · Spring term · Statistics · Step 6
Year 6 The mean worksheets
Calculate and use the mean as an average. A free editable Word sheet with eight fluency and six reasoning questions. The answers follow the questions: the same sheet again with every answer in red.
Download the worksheets
Print on A4 portrait: every page carries the sheet twice, side by side, so you can cut down the middle and two pupils each get a half to stick in their books. Every question sits in its own box and pupils write their answers in their book. The answers follow the questions in the file: the same sheet again with every answer in red. It opens in Word, Google Docs, Pages and LibreOffice, so you can change numbers, delete questions or add your own. There is no scaffolded version of this step yet.
Not scaffolded sheet
The same questions without the extra support. For pupils working at the expected standard: eight fluency questions first, then the reasoning questions.
Sample questions from this step
These are real questions from the first set of the sheet (two from the fluency page, two from the reasoning page). Open each one to see the answer.
- Mo, Dora, Mia and Ron have some counters. The picture shows how many each person has. Imagine sharing all the counters out evenly between them.How many counters does each person get? This is the mean. ____
Show the answer
7
- Eva collects football cards. The table shows how many cards Eva collected in each of four years.What is the mean number of cards collected each year? ____
Show the answer
77
- A basketball team played 4 games. The mean number of points they scored was 50.a) How many points did they score in total in the four games? ____After the fifth game, the mean number of points had gone up to 56.b) How many points did they score in the fifth game? ____
Show the answer
200; 80
- Six numbers are written on cards. Four of them are 13, 18, 20 and 12. The mean of all six numbers is 12. The other two cards have numbers on them: one number is double the other.What are the two missing numbers? Smaller first. ____
Show the answer
3 and 6
What is on each sheet
- Fluency: eight questions that start easy and get harder, with the key skill of the step practised in different ways.
- Reasoning: questions with pictures, tables and number lines (spot the mistake, true or false and explain, puzzles with one answer, an open-ended task).
- Answers in the same file: the sheet again with every answer in red, so there is only one file to download.
- Boba characters give the instructions in speech bubbles. They are decoration only.
Why one set of questions?
- Everyone works on the same content, and support comes from scaffolds instead of different, easier tasks. This follows the mastery approach described by the NCETM and the thinking in Ofsted's 2021 mathematics research review.
- Worked examples and visual representations lighten the load for pupils who need it, as the Education Endowment Foundation describes.