Starter quiz
- A carpet costs £30 per m². 8.5 m² of carpet costs £______.
- '255' ✓
- A ______ shape is a shape created using two or more basic shapes.
- 'compound' ✓
- A rectangle has a base of 8 cm and an area of 40 cm². The height of the rectangle is ______ cm.
- '5' ✓
- A circle has a diameter of 9 cm. What is its area (to 1 decimal place)?
- 14.1 cm
- 28.3 cm
- 56.5 cm
- 63.6 cm ✓
- 254.5 cm
-
Which calculations would find the perimeter of the compound rectilinear shape?- 35 + 12 + 27 + 16
- 35 + 12 + 19 + 27 + 16 + 39 ✓
- 2 × (35 + 39) ✓
- 2 × (16 + 12)
- 2 × (35 + 12 + 27 + 16)
-
- The area of the compound rectilinear shape is ______ cm².
- '852' ✓
Exit quiz
The length of the square is 20 cm. Calculate the area of the shaded region, give your answer correct to 1 decimal place.- 85.8 cm² ✓
- 314.2 cm²
- 343.4 cm²
- 400 cm²
-
- The radius of the circle is 20 cm. Which calculation can be used to find the area of the shaded region?
- 20² − × 20²
- 20² − × 40²
- 40² − × 20² ✓
- 40² − × 40²
-
The compound rectilinear shape is constructed by joining two congruent rectangles. The total area is 90 m². The area of each congruent rectangle is ______ m².- '45' ✓
- The perimeter of the square is 40 cm. The area of the shaded region is ______ cm² (to 1 decimal place).
- '21.5' ✓
- The compound rectilinear shape is constructed by joining two congruent rectangles. The total area is 120 cm² and = 10. Calculate the length of the longest side.
- 6 cm
- 10 cm
- 16 cm ✓
- 52 cm
- 60 cm
-
- The compound rectilinear shape is constructed by joining two congruent rectangles. The total area is 80 cm² and = 8. The perimeter of the shape is ______ cm.
- '42' ✓
Worksheet
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Lesson Details
Key learning points
- When problem solving, consider whether any elements are familiar from other areas of maths.
- Keep the goal in mind, it is easy to get distracted by too much information.
- With diagrams, it can be beneficial to add information to them (such as extra lines).
Common misconception
When finding the perimeter of a rectilinear compound shape, pupils might sum the perimeters of each rectangle.
Part of the perimeter for each rectangle is inside the compound shape. Therefore, not all of the perimeter of each rectangle contributes towards the perimeter of the compound shape in this problem.
Keywords
Area - The area is the size of the surface and states the number of unit squares needed to completely cover that surface.
Compound shape - A compound shape is a shape created using two or more basic shapes.
Composite shape - A composite shape is an alternative for a compound shape.
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