Candidate surname Other names
Centre Number Learner Registration Number
Pearson BTEC
Level 3 Nationals
Extended Diploma
Monday 13 January 2020
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
• 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
*P64715A0120*
P64715A
©2020 Pearson Education Ltd.
1/1/1/1/1/1/1
, SECTION A
Applied Mathematics
Answer ALL questions. Write your answers in the spaces provided.
1 An aeroplane travels east at a velocity of 250 m/s and at the same time is blown north
with a velocity of 50 m/s.
Draw a vector diagram of the velocities, including the resultant velocity of the
aeroplane.
You should include labels and axes values on your diagram.
N
W E
S
(Total for Question 1 = 4 marks)
2
, 2 The diagram shows a cone that is used to provide a reference line.
0.8 m
1.2 m
Diagram not to scale
Calculate the volume of the cone.
Answer: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ..........................
(Total for Question 2 = 3 marks)
3