Please check the examination details below before entering your candidate information
Candidate surname Other names
Pearson BTEC
Centre Number Learner Registration Number
Level 3 Nationals
Extended Certificate,
Foundation Diploma,
Diploma, Extended Diploma
Monday 14 January 2019
Morning (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
• Try to answer every question, show all your working and always answer to an
appropriate degree of accuracy.
• Check your answers if you have time at the end. Turn over
*P54076A0120*
P54076A
©2019 Pearson Education Ltd.
1/1/1/1/1
, SECTION A
Applied Mathematics
Answer ALL questions. Write your answers in the spaces provided.
An engineer has plotted a straight line graph based on the results of an investigation.
11
First
investigation 10
results
9
8
7
6
5
4
3
2
1
0
-3 -2 -1 0 1 2 3 4 5
-1
-2
-3
The results of a second investigation are represented by the expression:
y = 3x + 1
1 (a) Draw a straight line onto the graph paper to show the results of the
second investigation.
(3)
(b) Find the coordinates of the intercept for the lines plotted for the first and
second investigations.
(2)
Answer
................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 1 = 5 marks)
2
,A milling machine cutter completes 1750 revolutions in 3 minutes 30 seconds.
2 Calculate how many revolutions are completed in 1 minute.
Answer
................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 2 = 2 marks)
A communications tower has a cable attached as shown.
A
15m
Cable
Tower
Ground θ
B C
30m
Diagram not to scale
3 Calculate the angle θ.
Answer
................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 3 = 3 marks)
3
, The diagram represents a cone that covers a satellite receiver.
l
3m
2m
Diagram not to scale
4 (a) Calculate the length of the slope l.
(3)
Answer
................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(b) Calculate the surface area of the cone.
(2)
Answer
................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 4 = 5 marks)
4
Candidate surname Other names
Pearson BTEC
Centre Number Learner Registration Number
Level 3 Nationals
Extended Certificate,
Foundation Diploma,
Diploma, Extended Diploma
Monday 14 January 2019
Morning (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
• Try to answer every question, show all your working and always answer to an
appropriate degree of accuracy.
• Check your answers if you have time at the end. Turn over
*P54076A0120*
P54076A
©2019 Pearson Education Ltd.
1/1/1/1/1
, SECTION A
Applied Mathematics
Answer ALL questions. Write your answers in the spaces provided.
An engineer has plotted a straight line graph based on the results of an investigation.
11
First
investigation 10
results
9
8
7
6
5
4
3
2
1
0
-3 -2 -1 0 1 2 3 4 5
-1
-2
-3
The results of a second investigation are represented by the expression:
y = 3x + 1
1 (a) Draw a straight line onto the graph paper to show the results of the
second investigation.
(3)
(b) Find the coordinates of the intercept for the lines plotted for the first and
second investigations.
(2)
Answer
................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 1 = 5 marks)
2
,A milling machine cutter completes 1750 revolutions in 3 minutes 30 seconds.
2 Calculate how many revolutions are completed in 1 minute.
Answer
................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 2 = 2 marks)
A communications tower has a cable attached as shown.
A
15m
Cable
Tower
Ground θ
B C
30m
Diagram not to scale
3 Calculate the angle θ.
Answer
................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 3 = 3 marks)
3
, The diagram represents a cone that covers a satellite receiver.
l
3m
2m
Diagram not to scale
4 (a) Calculate the length of the slope l.
(3)
Answer
................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(b) Calculate the surface area of the cone.
(2)
Answer
................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 4 = 5 marks)
4
