Estimating Calculations – 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: May 2017 Paper 1, Q15 A cone has a volume of 98 cm3. The radius of the cone is 5.32 cm. (a) Work out an estimate for the height of the cone. Volume of cone = 1 3 π r2 h 1 A cone has a volume of 98 cm3. The radius of the cone is 5.32 cm. (a) Work out an estimate for the height of the cone. Volume of cone = 1 3 π r2 h h h r r cm cm (3) (3) Jenny uses a calculator to work out the height of the cone to 2 decimal places. (b) Will your estimate be more than Jenny’s answer or less than Jenny’s answer? Give reasons for your answer. Jenny uses a calculator to work out the height of the cone to 2 decimal places. (b) Will your estimate be more than Jenny’s answer or less than Jenny’s answer? Give reasons for your answer. (1) (1) (Total for Question 1 is 4 marks) (Total for Question 1 is 4 marks)

GCSE GCSE Edexcel Higher: May 2018 Paper 1, Q4 A cycle race across Europe is 2056.23 miles in length. Annie knows her average speed for her previous races is 25.32 miles per hour. For the next race she will cycle 8 hours a day. (a) Estimate how many days Annie will take to complete the race. 1 A cycle race across Europe is 2056.23 miles in length. Annie knows her average speed for her previous races is 25.32 miles per hour. For the next race she will cycle 8 hours a day. (a) Estimate how many days Annie will take to complete the race. Annie trains for the race. The average speed she can cycle at increases. It is now 26.34 miles per hour. (b) How does this affect your answer to part (a)? Annie trains for the race. The average speed she can cycle at increases. It is now 26.34 miles per hour. (b) How does this affect your answer to part (a)? (Total for Question 1 is 4 marks) (Total for Question 1 is 4 marks)

GCSE Edexcel Higher: May 2017 Paper 1, Q15 A cone has a volume of 98 cm3. The radius of the cone is 5.32 cm. (a) Work out an estimate for the height of the cone. Volume of cone = 1 3 π r2 h h r cm (3) Jenny uses a calculator to work out the height of the cone to 2 decimal places. (b) Will your estimate be more than Jenny’s answer or less than Jenny’s answer? Give reasons for your answer. (1) (Total for Question 1 is 4 marks)

GCSE Edexcel Higher: May 2018 Paper 1, Q4 1 A cycle race across Europe is 2056.23 miles in length. Annie knows her average speed for her previous races is 25.32 miles per hour. For the next race she will cycle 8 hours a day. (a) Estimate how many days Annie will take to complete the race. Annie trains for the race. The average speed she can cycle at increases. It is now 26.34 miles per hour. (b) How does this affect your answer to part (a)? (Total for Question 1 is 4 marks)

More, because with Jenny’s calculation the numerator goes down and the GCSE Edexcel Higher: May 2017 Paper 1, Q15 1 A cone has a volume of 98 cm3. The radius of the cone is 5.32 cm. (a) Work out an estimate for the height of the cone. Volume of cone = 1 3 π r2 h h r V = 97 ≈ 100 100 = 1 3 x 3 x 52 x h r = 5.32 ≈ 5 100 = 1 x 25 x h r = 3.14 ≈ 3 100 25 = h = 4 4 cm (3) Jenny uses a calculator to work out the height of the cone to 2 decimal places. (b) Will your estimate be more than Jenny’s answer or less than Jenny’s answer? Give reasons for your answer. More, because with Jenny’s calculation the numerator goes down and the numbers in the denominator go up. (1) (Total for Question 1 is 4 marks)

25 2000 GCSE Miles per day = 25 miles per hour x 8 hours = 200 miles Edexcel Higher: May 2018 Paper 1, Q4 1 A cycle race across Europe is 2056.23 miles in length. Annie knows her average speed for her previous races is 25.32 miles per hour. For the next race she will cycle 8 hours a day. (a) Estimate how many days Annie will take to complete the race. 2000 25 Miles per day = 25 miles per hour x 8 hours = 200 miles 2000 total miles ÷ 200 miles per day = 10 days OR) 2000 ÷ 25 ÷ 10 = 8 days Annie trains for the race. The average speed she can cycle at increases. It is now 26.34 miles per hour. (b) How does this affect your answer to part (a)? Less days will be required, OR, it will not affect the answer because I will still round down to 25. (Total for Question 1 is 4 marks)

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