Level 1 Functional Skills Maths Practice Paper
Test Time:
Test Equipment:
2hrs 30 mins
Calculator
Dictionary (if required)
Blue or Black Pen (if test is printed out)
This question paper is the property of the Royal Air Force and must be used solely for RAF exam preparation. It must not be copied in any way for any other purposes.
Read the following notes before you begin this paper.
You can choose from the following ways to do this exam:
1.
On Screen - download the paper onto your computer and type your answers on the screen (remember to save your answers as you go)
2.
Paper Based – print out the exam and complete the exam on paper
All workings are to be done on the actual paper in the boxes provided (you get marks for your workings)
Attempt all questions. If you find a question difficult, leave it and return to it later.
Do not feel tempted to look at the answers until you have made every effort to answer all the questions. If you get really stuck, have a look at the worked examples in the Revision Guide.
© Crown Copyright/MOD 2011
Reproduction, storage, adaptation or translation, in any form or by any means, of this publication is prohibited without prior written permission of the publisher.
1
Task 1
Perimeter
Calculate the airfield plan’s Perimeter in cm accurate to one decimal place.
14.8cm
4.8cm
9.7cm
6.4cm
Labelled
Answer Form : -- Maths Functional Skills level 1 Task 1 Perimeter
Information
Written
Sum
Written
Answer
© Crown Copyright/MOD 2011
Reproduction, storage, adaptation or translation, in any form or by any means, of this publication is prohibited without prior written permission of the publisher.
2
Task 2
Volume
What is the Volume of this helicopter blade storage container?
35cm
30cm
425cm
Labelled
Answer Form : -- Maths Functional Skills level 1 Task 2 Volume
Information
Written
Sum
Written
Answer
© Crown Copyright/MOD 2011
Reproduction, storage, adaptation or translation, in any form or by any means, of this publication is prohibited without prior written permission of the publisher.
3
Task 3
Scale Drawing
Calculate the actual concrete base dimensions (length and width) for this T1 radar unit in metres.
12cm
10cm
Scale 1 : 100
Answer Form : -- Maths Functional Skills level 1 Task 3 Scale Drawing
Labelled
Information
Written
Sum
Written
Answer
© Crown Copyright/MOD 2011
Reproduction, storage, adaptation or translation, in any form or by any means, of this publication is prohibited without prior written permission of the publisher.
4
Task 4
2-Dimensional Problem
How many 5.56mm rifle rounds can be placed on this display tray?
Allow each round a 2cm x 8cm space and all aligned in the same direction.
21cm
2cm
11cm
8cm
Answer Form : -- Maths Functional Skills level 1 Task 4 2D problem
Labelled
Information
Written
Sum
Written
Answer
© Crown Copyright/MOD 2011
Reproduction, storage, adaptation or translation, in any form or by any means, of this publication is prohibited without prior written permission of the publisher.
5
Task 5
3D Dimensional Problem
Work out how many ration boxes will fit into a flight crate.
Ration box Flight crate
15cm
8cm
20cm
1.2m
0.8m
1.8m
m
Hint : change m to cm first : 1m = 100cm
Answer Form : -- Maths Functional Skills level 1 Task 5 3D problem
Labelled
Information
Written
Sum
Written
Answer
© Crown Copyright/MOD 2011
Reproduction, storage, adaptation or translation, in any form or by any means, of this publication is prohibited without prior written permission of the publisher.
6
Task 6
Formula
F ind the weight of this aircraft engine assembly part using the formula: W = 20t – 2a + 4h where: W is in grams t = 90 a = 25 h = 10.5
Labelled
Answer Form : -- Maths Functional Skills level 1 Task 6 Formula
Information
Written
Sum
Written
Answer
© Crown Copyright/MOD 2011
Reproduction, storage, adaptation or translation, in any form or by any means, of this publication is prohibited without prior written permission of the publisher.
7
Task 7
Percentages
If there are 9 corporals allocated to teach parade ground marching routines to
150 new recruits. What is the percentage of corporals to recruits ?
Answer Form : -- Maths Functional Skills level 1 Task 7 Percentages
Labelled
Information
Written
Sum
Written
Answer
© Crown Copyright/MOD 2011
Reproduction, storage, adaptation or translation, in any form or by any means, of this publication is prohibited without prior written permission of the publisher.
8
Task 8
Ratio
A bunker is to be dug out and a temporary 5cm flooring of concrete is laid.
The concrete is made up of 5 parts sand, 3 parts gravel and 2 parts cement.
If 8 bags of cement are used, how many bags of Sand and Gravel are needed?
5 parts + 3 parts + 2 parts
Answer Form : -- Maths Functional Skills level 1 Task 8 Ratio
Labelled
Information
Written
Sum
Written
Answer
© Crown Copyright/MOD 2011
Reproduction, storage, adaptation or translation, in any form or by any means, of this publication is prohibited without prior written permission of the publisher.
9
Task 9
Capacity Measurement
Ten WWII fuel cans are being used to carry fuel to a fuel dump. Each can holds
5 gallons.
How much fuel would this be in Litres?
Hint : 1 gallon is about 4.5 Litres
Answer Form : -- Maths Functional Skills level 1 Task 9 Capacity Measurement
Labelled
Information
Written
Sum
Written
Answer
© Crown Copyright/MOD 2011
Reproduction, storage, adaptation or translation, in any form or by any means, of this publication is prohibited without prior written permission of the publisher.
10
Task 10
Formula use
Calculate how many flying hours 25 Litres of fuel will give.
To convert Fuel into flying hours of a certain type of aircraft the following formula is used :
10 Litres of Fuel =
3
3 F
6 W
Hours
where : W = wing drag factor on this type of aircraft is 0.5
F = fuselage drag factor on this type of aircraft is 0.1
Answer Form : -- Maths Functional Skills level 1 Task 10 Formula use
Labelled
Information
Written
Sum
Written
Answer
© Crown Copyright/MOD 2011
Reproduction, storage, adaptation or translation, in any form or by any means, of this publication is prohibited without prior written permission of the publisher.
11
Task 11
Data – Range & Mean
Below are the payloads carried by a Globemaster III on 12 of its mission flights as logged by the logistic mover staff.
Calculate the Range and Mean of the payloads.
Globemaster III - flight payloads in kg
53000
69000
43000
52000
47000
54000
67000
70000
37000
74000
51000
55000
Answer Form : -- Maths Functional Skills level 1 Task 11 Data – Range & Mean
Labelled
Information
Written
Sum
Written
Answer
© Crown Copyright/MOD 2011
Reproduction, storage, adaptation or translation, in any form or by any means, of this publication is prohibited without prior written permission of the publisher.
12
Task 12
Data Graphs
Using information read from the graph below --- a) Estimate how many more men movers there are than women movers b) Which trades were allocated more recruits :
(caterers plus chefs) or (pers plus supply)?
RAF Trade Allocations 1st Quarter of the Year
35
30
25
20
15
10
5
0 m ed ic dr ive r r m ove fir ef ig ht er w ea po ns ca te re r ch ef pe rs m ech in t a n
Trades ops te ch
(a v) su pp ly men women
Answer Form : -- Maths Functional Skills level 1 Task 12 Data Graphs
Labelled
Information
Written
Sum
Written
Answer
© Crown Copyright/MOD 2011
Reproduction, storage, adaptation or translation, in any form or by any means, of this publication is prohibited without prior written permission of the publisher.
13
Task 13
Probability
In a NATO exercise the RAF used the following Helicopters to move troops from a combat zone :
4 Chinooks, 5 Griffen HAR2s, 6 Pumas, 2 Merlins & One Sea King.
Calculate, as a fraction, the probability of being picked up from the zone by a
Puma helicopter.
Answer Form : -- Maths Functional Skills level 1 Task 13 Probability
Labelled
Information
Written
Sum
Written
Answer
© Crown Copyright/MOD 2011
Reproduction, storage, adaptation or translation, in any form or by any means, of this publication is prohibited without prior written permission of the publisher.
14
Task 14
Data -Mean
MET office records for rainfall in 2008, which can affect flying conditions are shown. Calculate the Mean rainfall of each quarter and the Mean for the whole year.
Periods
First Quarter
2008 UK Rainfall in mm
January 81.6
February 16.9
Second
Quarter
Third
Quarter
March
April
May
June
July
August
September
90.3
46.9
106.6
67.3
90
77
73.5
Fourth
Quarter
October
November
December
39.3
94.2
37.3
Answer Form : -- Maths Functional Skills level 1 Task 14 Mean
Labelled
Information
Written
Sum
Written
Answer
© Crown Copyright/MOD 2011
Reproduction, storage, adaptation or translation, in any form or by any means, of this publication is prohibited without prior written permission of the publisher.
15
Task 15
Reading Data from a Table
The Cargo to be airlifted in a round trip of 100Km is:
120 boxes weighing 5Kg each, 25 boxes weighing 20Kg each and 50 boxes weighing 40Kg each.
Choose which single means of transport you would use taking into consideration the time it will take to make the round trip and the cost. Reinforce your answer with your reasoning.
Type Payload max Cost per
100km
Chinook 12000Kg
Griffen HAR2 1300Kg
Puma
Merlin
2500Kg
7500Kg
Agusta A109E 1000Kg
£10000
£1500
£2000
£4000
£1000
Answer Form : -- Maths Functional Skills level 1 Task 15 Data Reading
Labelled
Information
Written
Sum
Written
Answer
© Crown Copyright/MOD 2011
Reproduction, storage, adaptation or translation, in any form or by any means, of this publication is prohibited without prior written permission of the publisher.
16
Task 16
Calculation Problem
You are tasked to supply 140 meals for service personnel from the RAF
Regiment.
The recipe used is for 10 people and includes 2Kg of potatoes.
Select the best potato product and work out the prices. State your reasons for choosing your selected product taking into account quality and cost.
Potato Type
White
Cost of 5Kg Bag
£1.70
British £2.00
Channel Island £2.50
Discount for 5 bags or more Quality rating none *
10%
20%
**
****
Answer Form : -- Maths Functional Skills level 1 Task 16 Calculation Problem
Labelled
Information
Written
Sum
Written
Answer
© Crown Copyright/MOD 2011
Reproduction, storage, adaptation or translation, in any form or by any means, of this publication is prohibited without prior written permission of the publisher.
17
© Crown Copyright/MOD 2011
Reproduction, storage, adaptation or translation, in any form or by any means, of this publication is prohibited without prior written permission of the publisher.
18