Year 6 · Spring term · Area, perimeter and volume · Step 4
Year 6 Area of a right-angled triangle worksheets
Use half of base times height for a right-angled triangle. 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.
- The rectangle is cut into two identical right-angled triangles.Area of the rectangle = ____ cm²Area of one triangle = ____ cm²
Show the answer
24; 12
- Put the numbers into the formula to find the area of the triangle.1/2 × ____ × ____ = ____ cm²The first number is the base. The second number is the height.
Show the answer
3, 4, 6
- Sam uses ½ × 5 × 12 to work out the area. "I can ignore the 13 cm side because it is not the base or the perpendicular height."Do you agree with Sam? Circle yes or no.Circle yes or no.Explain your answer.
Show the answer
Yes; Yes. The 13 cm side is the slanting side, so it is not needed. The area is ½ × 5 × 12 = 30 cm².
- The shape is made from a rectangle and a right-angled triangle. Work out its area.Area = ____ cm²
Show the answer
63
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.