draft (31/032/10)

National 4 Mathematics Test - Added Value Unit
Practice Test 1
Name: __________________________________
Class: __________________________________
Marker: _________________________________
Date: __________________________________
Mathematics Test — Part 1
Read carefully
 You may NOT use a calculator.
 Attempt all the questions, write your answers in the spaces provided.
 Show appropriate working.
 You have approximately 20 minutes to complete Part 1.
Marks achieved
Part 1
Question
Operational skills
Reasoning skills
1
2
3
4
5
6
Total
NLC N4 AV Practice Test 1 March 2015
out of 13
out of 2
1
Formulae list
Circumference of a circle: C = d
Area of a circle: A = r2
Curved surface area of a cylinder: A = 2rh
Volume of a cylinder: V = r2h
Volume of a prism: V = Ah
Theorem of Pythagoras:
a2 + b2 = c2
Trigonometric ratios
in a right angled triangle:
NLC N4 AV Practice March 2015
tan x° =
opposite
adjacent
sin x° =
opposite
hypotenuse
cos x° =
adjacent
hypotenuse
2
1
A new cinema with 760 seats has just opened.
The cinema manager predicted that during the first show, the cinema would be over 70% full.
The official sales during the first show totalled 535. Was the manager correct?
(2)
(#1)
2
On the diagram below, draw a reduction of the given shape using a scale factor of
2
3
.
(2)
NLC N4 AV Practice March 2015
3
3
4
The workers in a factory were voting on a proposed pay offer.
5
of the 368 workers voted to accept the offer.
8
How many workers was this?
(3)
Change the subject of the formula to x:
y = 4x + 7
NLC N4 AV Practice March 2015
(2)
4
5
6
In a car park there were 49 family cars, 15 sports cars and 11 four-wheel-drive vehicles.
What is the probability that the first car leaving the car park is a sports car?
Give your answer as a fraction in its simplest form.
(2)
The pie chart shows how a company spent £86 000 000 in one year on machinery, spares and
repairs.
Calculate the amount of money spent on repairs.
(2)
(#1)
[End of Part 1 of the Test]
NLC N4 AV Practice March 2015
5
Space for Additional Working
NLC N4 AV Practice March 2015
6