![Page 1: Functional Skills Maths Ratios for army soldiers /mountain leader trainers Underpins the following Functional Maths coverage & range statements Level 1](https://reader036.vdocuments.us/reader036/viewer/2022070409/56649e975503460f94b9a968/html5/thumbnails/1.jpg)
Functional Skills MathsRatios for army soldiers /mountain leader trainers
Underpins the following Functional Maths coverage & range statementsLevel 1• Solve simple problems involving ratio, where one number is a multiple of the other Level 2• Understand, use and calculate ratio and proportion, including problems involving scale
http://www.ofqual.gov.uk/
January 2014. Kindly contributed by Lulu Spink, Salisbury. Search for Lulu on www.skillsworkshop.org Please refer to the download page for this resource on skillsworkshop.org for detailed curriculum links and related resources.
![Page 2: Functional Skills Maths Ratios for army soldiers /mountain leader trainers Underpins the following Functional Maths coverage & range statements Level 1](https://reader036.vdocuments.us/reader036/viewer/2022070409/56649e975503460f94b9a968/html5/thumbnails/2.jpg)
RATIO
Created by Spink
![Page 3: Functional Skills Maths Ratios for army soldiers /mountain leader trainers Underpins the following Functional Maths coverage & range statements Level 1](https://reader036.vdocuments.us/reader036/viewer/2022070409/56649e975503460f94b9a968/html5/thumbnails/3.jpg)
• Joint Service Mountain Leader Trainers (MLTs) can take novices on mountain expeditions with a maximum instructor to novice ratio of 2:12
Question 1
• If 24 novices go on an expedition, how many instructors (MLTs) are needed?
Created by Spink
![Page 4: Functional Skills Maths Ratios for army soldiers /mountain leader trainers Underpins the following Functional Maths coverage & range statements Level 1](https://reader036.vdocuments.us/reader036/viewer/2022070409/56649e975503460f94b9a968/html5/thumbnails/4.jpg)
Simplify the ratio
First: simplify the ratio if possible
MLTs : Novices
2 : 12
2 : 12
1 : 6
Created by Spink
![Page 5: Functional Skills Maths Ratios for army soldiers /mountain leader trainers Underpins the following Functional Maths coverage & range statements Level 1](https://reader036.vdocuments.us/reader036/viewer/2022070409/56649e975503460f94b9a968/html5/thumbnails/5.jpg)
Method for question 1
Ratio MLTs : Novices
1 : 6
? : 24
Method:
24 ÷ 6 = 4
4 x 1 = 4
Answer: 4 : 24
X 4
Created by Spink
![Page 6: Functional Skills Maths Ratios for army soldiers /mountain leader trainers Underpins the following Functional Maths coverage & range statements Level 1](https://reader036.vdocuments.us/reader036/viewer/2022070409/56649e975503460f94b9a968/html5/thumbnails/6.jpg)
MLTs can take novices on mountain expeditions
with a maximum leader to novice ratio of 2:12
Question 2
• 21 people are going on an expedition. How many of them must be MLT qualified?
Created by Spink
![Page 7: Functional Skills Maths Ratios for army soldiers /mountain leader trainers Underpins the following Functional Maths coverage & range statements Level 1](https://reader036.vdocuments.us/reader036/viewer/2022070409/56649e975503460f94b9a968/html5/thumbnails/7.jpg)
Simplify the ratio
Simplify the ratio if possible
MLT : Novices
2 : 12
2 : 12
1 : 6
Created by Spink
![Page 8: Functional Skills Maths Ratios for army soldiers /mountain leader trainers Underpins the following Functional Maths coverage & range statements Level 1](https://reader036.vdocuments.us/reader036/viewer/2022070409/56649e975503460f94b9a968/html5/thumbnails/8.jpg)
Method for question 2
• Step 1: Add the ratio parts
• Step 2: Find the value of one part. • Step 3: Multiply according to the ratio.
• Answer:
MLT : Novices 1 : 6
7
(21 ÷ 7 = 3)
(1 x 3 = 3) (6 x 3 = 18)
3 : 18
21 people are going on an expedition. How many of them must be MLT qualified?
Created by Spink
![Page 9: Functional Skills Maths Ratios for army soldiers /mountain leader trainers Underpins the following Functional Maths coverage & range statements Level 1](https://reader036.vdocuments.us/reader036/viewer/2022070409/56649e975503460f94b9a968/html5/thumbnails/9.jpg)
Summary
When given the value of one of theparts
a) Enter information under correct heading
b) Apply the same operation to both sides
MLT : Novice 1 : 6 ? : 24 8 : ?
When given the total quantity of a mixture e.g. 21 people
a) Add ratio parts
b) Divide to find the value of one part
c) Multiply according to ratio
MLT : Novice1 : 6
7
(21 ÷ 7 = 3) 3 : 18
1. Always set out the ratio problem with headings.
2. Simplify the ratio if you can.
Created by Spink
![Page 10: Functional Skills Maths Ratios for army soldiers /mountain leader trainers Underpins the following Functional Maths coverage & range statements Level 1](https://reader036.vdocuments.us/reader036/viewer/2022070409/56649e975503460f94b9a968/html5/thumbnails/10.jpg)
Any questions so far?Any questions so far?
Created by Spink
![Page 11: Functional Skills Maths Ratios for army soldiers /mountain leader trainers Underpins the following Functional Maths coverage & range statements Level 1](https://reader036.vdocuments.us/reader036/viewer/2022070409/56649e975503460f94b9a968/html5/thumbnails/11.jpg)
Try these questions
Level 1 questions
Q1. Using the same ratio of 1:6
how many instructors are
needed if 30 novices want to
go on an expedition?
Q2. If a total of 28 people are on
an expedition, how many of
them must be instructors?
Level 2 questions
Q1. Using the same ratio of 1:6
how many instructors are
needed if 84 novices want to
go on an expedition?
Q2. If a total of 69 people are on
the expedition, how many of
them must be instructors?
Created by Spink
![Page 12: Functional Skills Maths Ratios for army soldiers /mountain leader trainers Underpins the following Functional Maths coverage & range statements Level 1](https://reader036.vdocuments.us/reader036/viewer/2022070409/56649e975503460f94b9a968/html5/thumbnails/12.jpg)
Answers to Level 1 questions
Q1. MLT : Novice
1 : 6 ? : 30
Method: 30 ÷ 6 = 5 5 x 1 = 5
30 novices need 5 instructors.
Answer: 5 : 30
Q2. MLT : Novice
1 : 6 Method: The whole has been divided into7 equal parts. Find value of 1 part
28 ÷ 7 = 4
(4 x 1 = 4) (4 x 6 = 24)
Answer: 4 : 24
Check: 4 + 24 = 28
Created by Spink
![Page 13: Functional Skills Maths Ratios for army soldiers /mountain leader trainers Underpins the following Functional Maths coverage & range statements Level 1](https://reader036.vdocuments.us/reader036/viewer/2022070409/56649e975503460f94b9a968/html5/thumbnails/13.jpg)
Answers to Level 2 questions
Q1. MLT : Novice 1 : 6 ? : 84
Method: 84 ÷ 6 = 14
14 x 1 = 14
Answer: 14 : 84
Q2. MLT : Novice 1 : 6 Method: Find value of 1 part 69 ÷ 7 = 9 remainder 6
7 x 9 = 63 but there are 6 extra people. One of them must be aninstructor to keep within the legalratio. 6 x 9 = 54 plus the left over 5
Answer: 10 : 59
Check: 10 + 59 = 69
Created by Spink
![Page 14: Functional Skills Maths Ratios for army soldiers /mountain leader trainers Underpins the following Functional Maths coverage & range statements Level 1](https://reader036.vdocuments.us/reader036/viewer/2022070409/56649e975503460f94b9a968/html5/thumbnails/14.jpg)
An ammo container holds 200 rounds.
The rounds have a ball and tracer mix of 4:1 (4BIT)
How many rounds are ball?
How many rounds are tracer?
Now try this
Created by Spink
![Page 15: Functional Skills Maths Ratios for army soldiers /mountain leader trainers Underpins the following Functional Maths coverage & range statements Level 1](https://reader036.vdocuments.us/reader036/viewer/2022070409/56649e975503460f94b9a968/html5/thumbnails/15.jpg)
Method
• Step 1: Add the ratio parts
• Step 2: Divide to find the value of one part.
• Step 3: Multiply according to the ratio.
• Answer:
Ball : Tracer 4 : 1
5 (200 ÷ 5 = 40)
(4 x 40 = 160) (1 x 40 = 40)
160 : 40
Q. The ammo container holds 200 rounds which have a ball and tracer mix of 4:1 (4B1T). How many rounds are ball? How many are tracer?
Created by Spink