Created by T. Madas
IYGB GCE
Mathematics MP1
Advanced Level
Practice Paper J
Difficulty Rating: 3.68/1.2069
Time: 2 hours
Candidates may use any calculator allowed by the
regulations of this examination.
Information for Candidates
This practice paper follows closely the Pearson Edexcel Syllabus, suitable for first
assessment Summer 2018.
The standard booklet “Mathematical Formulae and Statistical Tables” may be used.
Full marks may be obtained for answers to ALL questions.
The marks for the parts of questions are shown in round brackets, e.g. (2).
There are 13 questions in this question paper.
The total mark for this paper is 100.
Advice to Candidates
You must ensure that your answers to parts of questions are clearly labelled.
You must show sufficient working to make your methods clear to the Examiner.
Answers without working may not gain full credit.
Non exact answers should be given to an appropriate degree of accuracy.
The examiner may refuse to mark any parts of questions if deemed not to be legible.
Created by T. Madas
, Created by T. Madas
Question 1 (***+)
a) Simplify fully each of the following expressions, writing the final answer in
terms of 3 .
i. 108 + 3 . (1 )
6+ 3
ii. . ( 3)
2 +1
b) Solve the equation
3
(5 − x ) 2 = 8 . ( 3)
Detailed working must be shown in this question.
Question 2 (**+)
Relative to a fixed origin O , the point A has coordinates ( −2,4 ) .
The point B is such so that BA = 5i − j , where i and j are mutually perpendicular
unit vectors lying on the same plane.
a) Determine the distance of B from O . ( 3)
b) Calculate the angle OAB . (4)
Question 3 (****)
The curve C has equation
y = 2x , x ≥ 0
Find an equation of the normal to C at the point where x = 2 , giving the answer in
the form y = mx + c , where m and c are constants. (6)
Created by T. Madas
IYGB GCE
Mathematics MP1
Advanced Level
Practice Paper J
Difficulty Rating: 3.68/1.2069
Time: 2 hours
Candidates may use any calculator allowed by the
regulations of this examination.
Information for Candidates
This practice paper follows closely the Pearson Edexcel Syllabus, suitable for first
assessment Summer 2018.
The standard booklet “Mathematical Formulae and Statistical Tables” may be used.
Full marks may be obtained for answers to ALL questions.
The marks for the parts of questions are shown in round brackets, e.g. (2).
There are 13 questions in this question paper.
The total mark for this paper is 100.
Advice to Candidates
You must ensure that your answers to parts of questions are clearly labelled.
You must show sufficient working to make your methods clear to the Examiner.
Answers without working may not gain full credit.
Non exact answers should be given to an appropriate degree of accuracy.
The examiner may refuse to mark any parts of questions if deemed not to be legible.
Created by T. Madas
, Created by T. Madas
Question 1 (***+)
a) Simplify fully each of the following expressions, writing the final answer in
terms of 3 .
i. 108 + 3 . (1 )
6+ 3
ii. . ( 3)
2 +1
b) Solve the equation
3
(5 − x ) 2 = 8 . ( 3)
Detailed working must be shown in this question.
Question 2 (**+)
Relative to a fixed origin O , the point A has coordinates ( −2,4 ) .
The point B is such so that BA = 5i − j , where i and j are mutually perpendicular
unit vectors lying on the same plane.
a) Determine the distance of B from O . ( 3)
b) Calculate the angle OAB . (4)
Question 3 (****)
The curve C has equation
y = 2x , x ≥ 0
Find an equation of the normal to C at the point where x = 2 , giving the answer in
the form y = mx + c , where m and c are constants. (6)
Created by T. Madas
