Pythagoras – Mixed – Higher – 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 Higher: June 2017 Paper 3, Q8 A square with sides of length x cm, is inside a circle. Each vertex of the square is on the circumference of the circle. The area of the circle is 36 cm2. Work out the value of x. Give your answer correct to 3 significant figures. 1 A square with sides of length x cm, is inside a circle. Each vertex of the square is on the circumference of the circle. The area of the circle is 36 cm2. Work out the value of x. Give your answer correct to 3 significant figures. (Total for Question 1 is 4 marks) (Total for Question 1 is 4 marks)

GCSE GCSE Edexcel Higher: June 2017 Paper 2, Q21 The diagram shows 3 identical circles inside a rectangle. Each circle touches the other two circles and the sides of the rectangle, as shown in the diagram. 1 The diagram shows 3 identical circles inside a rectangle. Each circle touches the other two circles and the sides of the rectangle, as shown in the diagram. The radius of each circle is 16 mm. Work out the area of the rectangle. Give your answer correct to 3 significant figures. The radius of each circle is 16 mm. Work out the area of the rectangle. Give your answer correct to 3 significant figures. mm2 mm2 (Total for Question 1 is 4 marks) (Total for Question 1 is 4 marks)

GCSE GCSE Edexcel Higher: May 2017 Paper 1, Q5 This rectangular frame is made from 5 straight pieces of wood. The weight of the wood is 2.5 kg per metre. Work out the total weight of the wood in the frame. 1 This rectangular frame is made from 5 straight pieces of wood. The weight of the wood is 2.5 kg per metre. Work out the total weight of the wood in the frame. 9 m 9 m 12 m 12 m kg kg (Total for Question 1 is 5 marks) (Total for Question 1 is 5 marks)

GCSE Edexcel Higher: June 2017 Paper 3, Q8 A square with sides of length x cm, is inside a circle. Each vertex of the square is on the circumference of the circle. The area of the circle is 36 cm2. Work out the value of x. Give your answer correct to 3 significant figures. (Total for Question 1 is 4 marks)

GCSE Edexcel Higher: June 2017 Paper 2, Q21 The diagram shows 3 identical circles inside a rectangle. Each circle touches the other two circles and the sides of the rectangle, as shown in the diagram. The radius of each circle is 16 mm. Work out the area of the rectangle. Give your answer correct to 3 significant figures. mm2 (Total for Question 1 is 4 marks)

GCSE Edexcel Higher: May 2017 Paper 1, Q5 This rectangular frame is made from 5 straight pieces of wood. The weight of the wood is 2.5 kg per metre. Work out the total weight of the wood in the frame. 9 m 12 m kg (Total for Question 1 is 5 marks)

𝑥 𝑥 𝑥 𝑥 Area = πr2 36 = πr2 r2 = 36 𝜋 r = 36 𝜋 =3.385… GCSE Edexcel Higher: June 2017 Paper 3, Q8 1 A square with sides of length x cm, is inside a circle. Each vertex of the square is on the circumference of the circle. The area of the circle is 36 cm2. Work out the value of x. Give your answer correct to 3 significant figures. 𝑥 Area = πr2 36 = πr2 6.7702… 𝑥 r2 = 36 𝜋 r = 36 𝜋 =3.385… 2 r = 2 × 3.385…=6.7702… 𝑎2+𝑏2=𝑐2 𝑥 6.7702… 𝑥2+𝑥2=6.77022 𝑥 2𝑥2=45.8 𝑥2=22.9 𝑥= 22.9 𝑥=4.79 cm (Total for Question 1 is 4 marks)

𝑥 𝑥 GCSE a2 + b2 = c2 132 + 𝑥2 = 322 𝑥2 = 322 – 132 = 855 𝑥 = 855 Edexcel Higher: June 2017 Paper 2, Q21 1 The diagram shows 3 identical circles inside a rectangle. Each circle touches the other two circles and the sides of the rectangle, as shown in the diagram. 16mm 𝑥 16mm 16mm 16mm x 4 = 64mm The radius of each circle is 16 mm. Work out the area of the rectangle. Give your answer correct to 3 significant figures. a2 + b2 = c2 132 + 𝑥2 = 322 32mm 𝑥2 = 322 – 132 = 855 𝑥 𝑥 = 855 𝑥 = 29.24𝑚𝑚 16mm Area = ( 855 + 16 + 16) x 64 = 3919.384514mm 3920 mm2 (Total for Question 1 is 4 marks)

GCSE Edexcel Higher: May 2017 Paper 1, Q5 1 This rectangular frame is made from 5 straight pieces of wood. The weight of the wood is 2.5 kg per metre. Work out the total weight of the wood in the frame. 9 m 12 m a2 + b2 = c2 c 9 92 + 122 = c2 81 + 144 = c2 225 = c2 c = 225 =15 a 12 b Total Length = 9 + 12 + 9 + 12 + 15 = 57 m Total Weight = 57 × 2.5 kg 57 × 2 = 114 57 × 0.5 = 28.5 Total = 142.5 kg 142.5 kg (Total for Question 1 is 5 marks)

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