Pickles AcademyStart for freeArea on a square grid – practice for Years 5–7
Sample questions on Area on a square grid with the right answer and a worked solution, from easy to hard. In the Pickles Academy app a child gets new questions of the same kind every time, so they can't just learn the answers by heart.
- Subject
- Maths
- Year
- Years 5–7
- Curriculum area
- Geometry and measures
Question types: Area on a square grid
Rule: Area on a square grid
Split the shape into rectangles and right-angled triangles, or complete it to a rectangle and take away the extra.
A right-angled triangle is half a rectangle: A = a × b ÷ 2. Trapezium: A = (a + c) × h ÷ 2.
Example: A trapezium with parallel sides 7 and 5 cm and height 4 cm: A = (7 + 5) × 4 ÷ 2 = 24 cm²
Watch out: Don’t count squares along a slanted side. Count the slanted parts as halves of rectangles.
Sample questions
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Question 1 Easy
The shape is drawn on a square grid; each small square has sides of 1 cm. Work out the area of the shape.
Show the solution
Answer: 18 cm²How it works: A trapezium with parallel sides 3 cm and 3 cm and height 6 cm: A = (3 + 3) × 6 ÷ 2 = 18 cm²
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Question 2 Normal
The shape is drawn on a square grid; each small square has sides of 1 cm. Work out the area of the shape.
Show the solution
Answer: 13.5 cm²How it works: Draw the 9 cm × 3 cm rectangle around the shape (27 cm²) and take away the parts of it outside the shape (right-angled triangles and rectangles), 13.5 cm² in all: A = 27 − 13.5 = 13.5 cm²
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Question 3 Hard
The shape is drawn on a square grid; each small square has sides of 1 cm. Work out the area of the shape.
Show the solution
Answer: 27 cm²How it works: Draw the 10 cm × 6 cm rectangle around the shape (60 cm²) and take away the parts of it outside the shape (right-angled triangles and rectangles), 33 cm² in all: A = 60 − 33 = 27 cm²
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