1. Functional Skills Maths Ratios for army soldiers /mountain leader trainers Underpins the following Functional Maths coverage & range statements Level 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.orgwww.skillsworkshop.org Please refer to the download page for this resource on skillsworkshop.org for detailed curriculum links and related resources. January 2014. Kindly contributed by Lulu Spink, Salisbury. Search for Lulu on www.skillsworkshop.orgwww.skillsworkshop.org Please refer to the download page for this resource on skillsworkshop.org for detailed curriculum links and related resources.

2. RATIO Created by Spink

3. 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

4. Simplify the ratio First: simplify the ratio if possible MLTs: Novices 2:12 1:61:6 Created by Spink

5. Method for question 1 Ratio MLTs:Novices 1:61:6 ?:24 Method: 24 ÷ 6 = 4 4 x 1 = 4 Answer:4: 24 X 4 Created by Spink

6. 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

7. Simplify the ratio Simplify the ratio if possible MLT:Novices 2:12 1:61:6 Created by Spink

8. 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

9. Summary When given the value of one of the parts 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 : Novice 1 : 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

10. Any questions so far? Created by Spink

11. 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

12. 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 into 7 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

13. 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 an instructor to keep within the legal ratio. 6 x 9 = 54 plus the left over 5 Answer: 10 : 59 Check: 10 + 59 = 69 Created by Spink

14. 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

15. 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