Dividing into a Ratio – Higher – GCSE Questions

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Presentation transcript:

Dividing into a Ratio – 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 4 5 of the children had seats in the Lower Tier. Edexcel Higher: June 2017 Paper 2, Q2 Edexcel Higher: June 2017 Paper 2, Q2 1 On Sunday, some adults and children were in a football stadium. The ratio of the number of children to adults was 3:4 Each person had a seat in the Upper Tier or had a seat in the Lower Tier. 4 5 of the children had seats in the Lower Tier. 129 children had seats in the Upper Tier. There are exactly 2100 seats in the football stadium. On this Sunday, were there people on more than 70% of the seats? You must show how you get your answer. 1 On Sunday, some adults and children were in a football stadium. The ratio of the number of children to adults was 3:4 Each person had a seat in the Upper Tier or had a seat in the Lower Tier. 4 5 of the children had seats in the Lower Tier. 129 children had seats in the Upper Tier. There are exactly 2100 seats in the football stadium. On this Sunday, were there people on more than 70% of the seats? You must show how you get your answer. (Total for Question 1 is 5 marks) (Total for Question 1 is 5 marks)

GCSE GCSE GCSE GCSE Edexcel Higher: May 2018 Paper 1, Q8 The perimeter of a right-angled triangle is 84 cm. The lengths of its sides are in the ratio 3 : 4 : 5 Work out the area of the triangle. 1 The perimeter of a right-angled triangle is 84 cm. The lengths of its sides are in the ratio 3 : 4 : 5 Work out the area of the triangle. cm2 cm2 (Total for Question 1 is 4 marks) (Total for Question 1 is 4 marks) GCSE GCSE Edexcel Higher: May 2018 Paper 1, Q8 Edexcel Higher: May 2018 Paper 1, Q8 1 The perimeter of a right-angled triangle is 84 cm. The lengths of its sides are in the ratio 3 : 4 : 5 Work out the area of the triangle. 1 The perimeter of a right-angled triangle is 84 cm. The lengths of its sides are in the ratio 3 : 4 : 5 Work out the area of the triangle. cm2 cm2 (Total for Question 1 is 4 marks) (Total for Question 1 is 4 marks)

GCSE GCSE 2 7 of the cookies are chocolate cookies. Edexcel Higher: June 2017 Paper 3, Q4 Edexcel Higher: June 2017 Paper 3, Q4 1 Sarah bakes 420 cookies. She bakes only chocolate cookies, raisin cookies, toffee cookies and plain cookies. 1 Sarah bakes 420 cookies. She bakes only chocolate cookies, raisin cookies, toffee cookies and plain cookies. 2 7 of the cookies are chocolate cookies. 35% of the cookies are raisin cookies. The ratio of the number of toffee cookies to plain cookies is 4:5 2 7 of the cookies are chocolate cookies. 35% of the cookies are raisin cookies. The ratio of the number of toffee cookies to plain cookies is 4:5 Work out the number of toffee cookies Sarah bakes. Work out the number of toffee cookies Sarah bakes. (Total for Question 1 is 5 marks) (Total for Question 1 is 5 marks)

GCSE 4 5 of the children had seats in the Lower Tier. Edexcel Higher: June 2017 Paper 2, Q2 1 On Sunday, some adults and children were in a football stadium. The ratio of the number of children to adults was 3:4 Each person had a seat in the Upper Tier or had a seat in the Lower Tier. 4 5 of the children had seats in the Lower Tier. 129 children had seats in the Upper Tier. There are exactly 2100 seats in the football stadium. On this Sunday, were there people on more than 70% of the seats? You must show how you get your answer. (Total for Question 1 is 5 marks)

GCSE Edexcel Higher: May 2018 Paper 1, Q8 1 The perimeter of a right-angled triangle is 84 cm. The lengths of its sides are in the ratio 3 : 4 : 5 Work out the area of the triangle. cm2 (Total for Question 1 is 4 marks)

GCSE 2 7 of the cookies are chocolate cookies. Edexcel Higher: June 2017 Paper 3, Q4 1 Sarah bakes 420 cookies. She bakes only chocolate cookies, raisin cookies, toffee cookies and plain cookies. 2 7 of the cookies are chocolate cookies. 35% of the cookies are raisin cookies. The ratio of the number of toffee cookies to plain cookies is 4:5 Work out the number of toffee cookies Sarah bakes. (Total for Question 1 is 5 marks)

Yes, there were people on more than 70% of the seats. GCSE Edexcel Higher: June 2017 Paper 2, Q2 1 On Sunday, some adults and children were in a football stadium. The ratio of the number of children to adults was 3:4 Each person had a seat in the Upper Tier or had a seat in the Lower Tier. 4 5 of the children had seats in the Lower Tier. 129 children had seats in the Upper Tier. There are exactly 2100 seats in the football stadium. On this Sunday, were there people on more than 70% of the seats? You must show how you get your answer. 1: Number of Children LT = 4 5 UP = 1 5 = 129 Total Children = 5 x 129 = 645 Children : Adults 3 : 4 1 part = 215 645 : 860 = 1505 70% of 2100 0.7 x 2100 = 1470 1470 < 1505 Yes, there were people on more than 70% of the seats. (Total for Question 1 is 5 marks)

= 12 pieces 1 piece = 7cm Area = ½ × b × h 35cm = ½ × 21 × 28 28cm GCSE Edexcel Higher: May 2018 Paper 1, Q8 1 The perimeter of a right-angled triangle is 84 cm. The lengths of its sides are in the ratio 3 : 4 : 5 Work out the area of the triangle. = 12 pieces 1 piece = 7cm Area = ½ × b × h 35cm 28cm = ½ × 21 × 28 14 × 21 = 294 21cm cm2 (Total for Question 1 is 4 marks)

GCSE Edexcel Higher: June 2017 Paper 3, Q4 1 Sarah bakes 420 cookies. She bakes only chocolate cookies, raisin cookies, toffee cookies and plain cookies. 2 7 of the cookies are chocolate cookies. 35% of the cookies are raisin cookies. The ratio of the number of toffee cookies to plain cookies is 4:5 Work out the number of toffee cookies Sarah bakes. Choc 2/7 of 420 = 120 Raisin 0.35 x 420 = 147 Toffee + Plain = 420 – 120 – 147 = 153 Toffee : Plain 4 : 5 9 parts, 1 part = 153 9 = 17 Toffee = 4 parts = 4 x 17 = 68 80 Toffee Cookies (Total for Question 1 is 5 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