AS Mathematics
Edexcel
Paper 1 – Pure Mathematics
Predicted Paper 2022
Name ………………………………………………
Date ………………………………………………
2 hours allowed
Calculator Paper
Maximum Mark: 100
YouTube Tutorials for GCSE and A-Level | Proudly partnered with Primrose Kitten 1
, Question 1
Vector a is defined by 3i – 5j
Vector b is defined by 2i + 3j
(i) Determine the range of values for μ such that μ|b| > |a|
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(2)
Point X has position vector – 4i – 4j
Point Y has position vector 6i + j
(ii) Determine the position vector of the point Z, which lies between X and
Y, such that XZ:ZY is 3:2.
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(3)
(Total 5 Marks)
YouTube Tutorials for GCSE and A-Level | Proudly partnered with Primrose Kitten 2
, Question 2
The diagram below shows the curve given by the equation 𝑦 = 𝑓(𝑥)
Point A has coordinates (0, 2)
(a) Write down the coordinates of point A under the following transformations:
(i) 𝑦 = 𝑓(𝑥) + 2
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(2)
(ii) 𝑦 = 𝑓(𝑥 − 2)
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YouTube Tutorials for GCSE and A-Level | Proudly partnered with Primrose Kitten 3
Edexcel
Paper 1 – Pure Mathematics
Predicted Paper 2022
Name ………………………………………………
Date ………………………………………………
2 hours allowed
Calculator Paper
Maximum Mark: 100
YouTube Tutorials for GCSE and A-Level | Proudly partnered with Primrose Kitten 1
, Question 1
Vector a is defined by 3i – 5j
Vector b is defined by 2i + 3j
(i) Determine the range of values for μ such that μ|b| > |a|
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
(2)
Point X has position vector – 4i – 4j
Point Y has position vector 6i + j
(ii) Determine the position vector of the point Z, which lies between X and
Y, such that XZ:ZY is 3:2.
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
(3)
(Total 5 Marks)
YouTube Tutorials for GCSE and A-Level | Proudly partnered with Primrose Kitten 2
, Question 2
The diagram below shows the curve given by the equation 𝑦 = 𝑓(𝑥)
Point A has coordinates (0, 2)
(a) Write down the coordinates of point A under the following transformations:
(i) 𝑦 = 𝑓(𝑥) + 2
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
(2)
(ii) 𝑦 = 𝑓(𝑥 − 2)
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
…………………………………………………………………………………………………………………………………
YouTube Tutorials for GCSE and A-Level | Proudly partnered with Primrose Kitten 3
