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A-Level Mathematics
Predicted Paper 2023
Edexcel
Paper 2 – Pure Mathematics
Name ………………………………………………
Date ………………………………………………
2 hours allowed
Calculator Paper
Maximum Mark: 100
Grade boundaries
These are VERY rough guesses! Getting an A on this paper does not
guarantee you the same mark in the exam.
A* 75%
A 55%
B 45%
C 35%
D 25%
E 15%
1
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2
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01 An archer shoots an arrow, which is modelled by the formula
𝐻 = 1.6 + 0.6𝑑 − 0.003𝑑2 , 𝑑≥0
where 𝐻 is the height of the arrow above the ground and 𝑑 is the
horizontal distance of the arrow from the archer, measured in metres.
a) Find the horizontal distance travelled by the arrow, as
given by the model.
[3 marks]
b) With reference to the model, interpret the significance of
the 1.6 in the formula.
[1 mark]
c) Write 1.6 + 0.6𝑑 − 0.003𝑑2 in the form
𝐴 − (𝑑 − 𝐶 2)
where 𝐴, 𝐵 and 𝐶 are constants to be found.
[3 marks]
3
A-Level Mathematics
Predicted Paper 2023
Edexcel
Paper 2 – Pure Mathematics
Name ………………………………………………
Date ………………………………………………
2 hours allowed
Calculator Paper
Maximum Mark: 100
Grade boundaries
These are VERY rough guesses! Getting an A on this paper does not
guarantee you the same mark in the exam.
A* 75%
A 55%
B 45%
C 35%
D 25%
E 15%
1
,vc
2
, vc
01 An archer shoots an arrow, which is modelled by the formula
𝐻 = 1.6 + 0.6𝑑 − 0.003𝑑2 , 𝑑≥0
where 𝐻 is the height of the arrow above the ground and 𝑑 is the
horizontal distance of the arrow from the archer, measured in metres.
a) Find the horizontal distance travelled by the arrow, as
given by the model.
[3 marks]
b) With reference to the model, interpret the significance of
the 1.6 in the formula.
[1 mark]
c) Write 1.6 + 0.6𝑑 − 0.003𝑑2 in the form
𝐴 − (𝑑 − 𝐶 2)
where 𝐴, 𝐵 and 𝐶 are constants to be found.
[3 marks]
3
