Year 5 · Summer term · Shape · Step 8
Year 5 Lengths and angles in shapes worksheets
Use what you know about squares, rectangles and triangles to find lengths and angles. 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.
- This is a square. All its sides are the same length and every corner is a right angle.a) What size is each angle? ____b) How many degrees do the four angles of a square add up to? ____
Show the answer
90; 360
- This triangle is half of a square. It has a right angle and two sides of the same length. Work out the size of angle x.x = ____ °
Show the answer
45
- A square has a diagonal.Eva: Angle a is 90°.Is Eva correct? Circle yes or no.Circle yes or no.Explain how you know.
Show the answer
No; No. The diagonal cuts the right angle of 90° in half. 90° ÷ 2 = 45°, so angle a is 45°, not 90°.
- A rectangle is 12 cm by 16 cm. A straight cut from one corner to the opposite corner (a diagonal) is 20 cm long. The rectangle is cut along the diagonal into two identical triangles.Perimeter of one triangle = ____ cmPerimeter of the whole rectangle = ____ cm
Show the answer
48; 56
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.