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.

RATIO

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• 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?

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Simplify the ratio

First: simplify the ratio if possible

MLTs : Novices

2 : 12

2 : 12

1 : 6

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Method for question 1

Ratio MLTs : Novices

1 : 6

? : 24

Method:

24 ÷ 6 = 4

4 x 1 = 4

Answer: 4 : 24

X 4

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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?

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Simplify the ratio

Simplify the ratio if possible

MLT : Novices

2 : 12

2 : 12

1 : 6

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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?

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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.

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Any questions so far?Any questions so far?

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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?

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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

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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

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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

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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?

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