Please check the examination details below before entering your candidate information
Candidate surname Other names
Pearson BTEC Level 3 Centre Number Learner Registration Number
Nationals Extended
Certificate, Foundation
Diploma, Diploma,
Extended Diploma
Wednesday 5 June 2019
Afternoon (Time: 2 hours) Paper Reference 31706H
Engineering
Unit 1: Engineering Principles
You must have: Total Marks
Information booklet of formulae and constants
Ruler, protractor, pencil and calculator.
Instructions
• Use black ink or ball-point pen.
• Fill in the boxes at the top of this page with your name,
centre number and learner registration number.
• Answer all questions.
• Answer the questions in the spaces provided
– there may be more space than you need.
Information
• The total mark for this paper is 80.
• You may need to recall a few formulae and constants that are not provided in
the Information Booklet of Formulae and Constants and you may be rewarded
for doing so.
• The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
• You may use a non-programmable calculator that does not have the facility
for symbolic algebraic manipulation or allow the storage and retrieval of
mathematical formulae.
Advice
• Read each question carefully before you start to answer it.
• Try to answer every question, show all your working and always answer to an
appropriate degree of accuracy.
Turn over
*P61579A0120*
P61579A
©2019 Pearson Education Ltd.
1/1/1/1/1/1/1/1
, SECTION A
Applied Mathematics
Answer ALL questions. Write your answers in the spaces provided.
Engineers use the sine function when plotting AC waveforms.
1 Draw the waveform to represent the function:
y = sinθ
where θ is an angle between 0° to 360°.
You should include labels and axis values on your graph.
(Total for Question 1 = 4 marks)
2
,The diagram shows the cross section of an extrusion with a uniform thickness of 4 mm.
16 mm
24 mm
4 mm
Diagram not to scale
2 Calculate the area of the extrusion.
Answer:
................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 2 = 3 marks)
3
, The length of time an alarm sounds is represented by the formula:
l = (n2)3
Where l is the length of time (in milliseconds) and n is the number of activations.
3 (a) Simplify the formula using one law of indices.
(2)
Answer:
................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(b) Calculate the value of l when n = 4.
(1)
Answer:
................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 3 = 3 marks)
4
Candidate surname Other names
Pearson BTEC Level 3 Centre Number Learner Registration Number
Nationals Extended
Certificate, Foundation
Diploma, Diploma,
Extended Diploma
Wednesday 5 June 2019
Afternoon (Time: 2 hours) Paper Reference 31706H
Engineering
Unit 1: Engineering Principles
You must have: Total Marks
Information booklet of formulae and constants
Ruler, protractor, pencil and calculator.
Instructions
• Use black ink or ball-point pen.
• Fill in the boxes at the top of this page with your name,
centre number and learner registration number.
• Answer all questions.
• Answer the questions in the spaces provided
– there may be more space than you need.
Information
• The total mark for this paper is 80.
• You may need to recall a few formulae and constants that are not provided in
the Information Booklet of Formulae and Constants and you may be rewarded
for doing so.
• The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
• You may use a non-programmable calculator that does not have the facility
for symbolic algebraic manipulation or allow the storage and retrieval of
mathematical formulae.
Advice
• Read each question carefully before you start to answer it.
• Try to answer every question, show all your working and always answer to an
appropriate degree of accuracy.
Turn over
*P61579A0120*
P61579A
©2019 Pearson Education Ltd.
1/1/1/1/1/1/1/1
, SECTION A
Applied Mathematics
Answer ALL questions. Write your answers in the spaces provided.
Engineers use the sine function when plotting AC waveforms.
1 Draw the waveform to represent the function:
y = sinθ
where θ is an angle between 0° to 360°.
You should include labels and axis values on your graph.
(Total for Question 1 = 4 marks)
2
,The diagram shows the cross section of an extrusion with a uniform thickness of 4 mm.
16 mm
24 mm
4 mm
Diagram not to scale
2 Calculate the area of the extrusion.
Answer:
................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 2 = 3 marks)
3
, The length of time an alarm sounds is represented by the formula:
l = (n2)3
Where l is the length of time (in milliseconds) and n is the number of activations.
3 (a) Simplify the formula using one law of indices.
(2)
Answer:
................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(b) Calculate the value of l when n = 4.
(1)
Answer:
................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 3 = 3 marks)
4
