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Quiz

Year 1: Area and perimeter of plane figures

10 questions with solutions for year 1: triangles, trapeziums, kites, regular polygons, rings, using Pythagoras’ theorem – review problems.

Type the number or choose the right answer. When you finish, click Check answers and see the solutions.

1. Trapezium: parallel sides 25 and 15, one leg 8, the angles at the longer side add up to 90°. Area?

2. A rectangle has one side three times the other. The long side is cut by 18 cm, the other extended by 8 cm, and the area stays the same. Perimeter of the new rectangle (cm)?

3. Area of the triangle with sides a = 2, b = 3 and c = 4?

4. Area of a kite with diagonals 15 and 12?

5. The hypotenuse is 6.5 cm and one leg 2.5 cm. Perimeter (cm)?

6. Isosceles triangle: height to the base 8 cm, leg 10 cm. Area (cm²)?

7. Area of the ring between circles with perimeters 8π and 20π?

8. The circle inscribed in a regular hexagon has area 9π. Area of the hexagon?

9. An isosceles trapezium with parallel sides 40 cm and 24 cm has perpendicular diagonals. Area (cm²)?

10. Trapezium: parallel sides 9 cm and 3 cm, legs 8 cm and 10 cm. Area (cm²)?