Past Paper Example 1
GCSE May 2017 1F Q18
5 marks
Balena has a garden in the shape of a circle of radius 10 m.
He is going to cover the garden with grass seed to make a lawn.
Grass seed is sold in boxes.
Each box of grass seed will cover 46 m2 of garden.
He is going to cover the garden with grass seed to make a lawn.
Grass seed is sold in boxes.
Each box of grass seed will cover 46 m2 of garden.
Balena wants to cover all the garden with grass seed.
(a) Work out an estimate for the number of boxes of grass seed Balena needs.
You must show your working. [4 marks]
You must show your working. [4 marks]
(b) Is your estimate for part (a) an underestimate or an overestimate?
Give a reason for your answer. [1 mark]
Give a reason for your answer. [1 mark]
Worked Solution & Mark Scheme (5 marks)
Part (a) Solution:
Area = π × 10² ≈ 3 × 100 = 300 m² M3
Boxes ≈ 300 ÷ 50 = 6 (or 314 ÷ 45 ≈ 7) A1
Boxes ≈ 300 ÷ 50 = 6 (or 314 ÷ 45 ≈ 7) A1
Answer (a): 6 to 8
Part (b) Solution:
Underestimate because 3 < π and 50 > 46 C1
Answer (b): Underestimate, because 3 was used for π (less than 3.14...) and 50 was used for 46 (greater than 46), giving a smaller value