Area of a Triangle – Foundation – GCSE Questions

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Presentation transcript:

Area of a Triangle – Foundation – GCSE Questions These questions are the same format as previous GCSE exams. COPY means they use the exact same numbers as the original GCSE question. Otherwise, they are clone questions using different numbers. The worksheets are provided in a variety of sizes.

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GCSE GCSE Edexcel Foundation: May 2017 Paper 1, Q15 Here are a rectangle and a triangle. 1 Here are a rectangle and a triangle. 12 cm 12 cm 6 cm 6 cm length length 7 cm 7 cm The area of the rectangle is 5 times the area of the triangle. Work out the length of the rectangle. The area of the rectangle is 5 times the area of the triangle. Work out the length of the rectangle. cm cm (Total for Question 1 is 4 marks) (Total for Question 1 is 4 marks)

GCSE GCSE Edexcel Foundation: November 2017 Paper 2, Q10 The diagram shows two shapes drawn on a centimetre grid. 1 The diagram shows two shapes drawn on a centimetre grid. R R S S (a) Find the area of shape R. (a) Find the area of shape R. (2) (2) (a) Write down the mathematical name of quadrilateral S. (a) Write down the mathematical name of quadrilateral S. (1) (1) (Total for Question 1 is 3 marks) (Total for Question 1 is 3 marks)

GCSE GCSE Edexcel Foundation: June 2018 Paper 3, Q21 Here is a trapezium drawn on a square grid. 1 Here is a trapezium drawn on a square grid. On the grid, draw a triangle equal in area to the trapezium On the grid, draw a triangle equal in area to the trapezium (Total for Question 1 is 2 marks) (Total for Question 1 is 2 marks)

GCSE GCSE GCSE GCSE Edexcel Foundation: June 2018 Paper 3, Q17 PRQ is an isosceles triangle. The area of the triangle is 800 cm2 Work out the value of x. 1 PRQ is an isosceles triangle. The area of the triangle is 800 cm2 Work out the value of x. P 5x cm Q P 5x cm Q 5x cm 5x cm R R x = x = (Total for Question 1 is 3 marks) (Total for Question 1 is 3 marks) GCSE GCSE Edexcel Foundation: June 2018 Paper 3, Q17 Edexcel Foundation: June 2018 Paper 3, Q17 1 PRQ is an isosceles triangle. The area of the triangle is 800 cm2 Work out the value of x. P 5x cm 1 PRQ is an isosceles triangle. The area of the triangle is 800 cm2 Work out the value of x. Q P 5x cm Q 5x cm 5x cm R R x = x = (Total for Question 1 is 3 marks) (Total for Question 1 is 3 marks)

GCSE Edexcel Foundation: May 2017 Paper 1, Q15 Here are a rectangle and a triangle. 12 cm 6 cm length 7 cm The area of the rectangle is 5 times the area of the triangle. Work out the length of the rectangle. cm (Total for Question 1 is 4 marks)

GCSE Edexcel Foundation: November 2017 Paper 2, Q10 The diagram shows two shapes drawn on a centimetre grid. R S (a) Find the area of shape R. (2) (a) Write down the mathematical name of quadrilateral S. (1) (Total for Question 1 is 3 marks)

GCSE Edexcel Foundation: June 2018 Paper 3, Q21 1 Here is a trapezium drawn on a square grid. On the grid, draw a triangle equal in area to the trapezium (Total for Question 1 is 2 marks)

GCSE Edexcel Foundation: June 2018 Paper 3, Q17 1 PRQ is an isosceles triangle. The area of the triangle is 800 cm2 Work out the value of x. P 5x cm Q 5x cm R x = (Total for Question 1 is 3 marks)

GCSE Area of triangle = 1 2 x 7 x 6 = 42 Edexcel Foundation: May 2017 Paper 1, Q15 1 Here are a rectangle and a triangle. 12 cm 6 cm length 7 cm The area of the rectangle is 5 times the area of the triangle. Work out the length of the rectangle. Area of triangle = 1 2 x 7 x 6 = 42 Area of rectangle = 42 x 5 = 210 210 ÷ 12 = length 12 24 36 48 60 72 84 17.5 12 210.00 17.5 cm (Total for Question 1 is 4 marks)

GCSE 18cm2 1 2 × 6 × 6 = 1 2 × 36 = Parallelogram Edexcel Foundation: November 2017 Paper 2, Q10 1 The diagram shows two shapes drawn on a centimetre grid. R S (a) Find the area of shape R. 18cm2 1 2 × 6 × 6 = 1 2 × 36 = (2) (a) Write down the mathematical name of quadrilateral S. Parallelogram (1) (Total for Question 1 is 3 marks)

½ × 3 × 5 = 7.5 Total Area = 20 units2 2 × 5 = 10 ½ × 1 × 5 = 2.5 GCSE Edexcel Foundation: June 2018 Paper 3, Q21 1 Here is a trapezium drawn on a square grid. ½ × 3 × 5 = 7.5 Total Area = 20 units2 2 × 5 = 10 ½ × 1 × 5 = 2.5 ½ × 10 × 4 = 20 On the grid, draw a triangle equal in area to the trapezium Trapezium = 𝑎+𝑏 2 × ℎ Trapezium = 5 + 3 2 ×5 = 20 (Total for Question 1 is 2 marks)

GCSE Edexcel Foundation: June 2018 Paper 3, Q17 1 PRQ is an isosceles triangle. The area of the triangle is 800 cm2 Work out the value of x. P 5x cm Q 5x cm ½ × 5𝑥 × 5𝑥 = 800 ½ × 25𝑥2 = 800 R 12.5𝑥2 = 800 𝑥2 = 64 𝑥 = 64 = +/- 8 cm 8 x = (Total for Question 1 is 3 marks)

tom@goteachmaths.co.uk Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths.co.uk