Functional Skills Maths Ratios for army soldiers mountain

Functional Skills Maths Ratios for army soldiers /mountain leader trainers 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. 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/

RATIO Created by Spink

• 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

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

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

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

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

Method for question 2 21 people are going on an expedition. How many of them must be MLT qualified? • Step 1: Add the ratio parts MLT : Novices 1 : 6 7 • Step 2: Find the value of one part. • Step 3: Multiply according to the ratio. • Answer: (21 ÷ 7 = 3) (1 x 3 = 3) 3 (6 x 3 = 18) : 18 Created by Spink

Summary 1. Always set out the ratio problem with headings. 2. Simplify the ratio if you can. When given the value of one of the parts When given the total quantity of a mixture e. g. 21 people a) a) Add ratio parts b) Divide to find the value of one part c) Multiply according to ratio b) Enter information under correct heading Apply the same operation to both sides MLT : Novice 1 : 6 ? : 24 8 : ? MLT : Novice 1 : 6 7 (21 ÷ 7 = 3) 3 : 18 Created by Spink

Any questions so far? Created by Spink

Try these questions Level 1 questions Level 2 questions Q 1. Using the same ratio of 1: 6 how many instructors are needed if 30 novices want to go on an expedition? Q 1. Using the same ratio of 1: 6 how many instructors are needed if 84 novices want to go on an expedition? Q 2. If a total of 28 people are on an expedition, how many of them must be instructors? Q 2. If a total of 69 people are on the expedition, how many of them must be instructors? Created by Spink

Answers to Level 1 questions Q 1. Method: MLT : Novice 1 : 6 ? : 30 30 ÷ 6 = 5 5 x 1=5 30 novices need 5 instructors. Answer: 5 : 30 Q 2. 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

Answers to Level 2 questions Q 1. MLT : Novice 1 : 6 ? : 84 Q 2. MLT : Novice 1 : 6 Method: Find value of 1 part 69 ÷ 7 = 9 remainder 6 Method: 84 ÷ 6 = 14 14 x 1 = 14 Answer: 14 : 84 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

Now try this An ammo container holds 200 rounds. The rounds have a ball and tracer mix of 4: 1 (4 BIT) How many rounds are ball? How many rounds are tracer? Created by Spink

Method Q. The ammo container holds 200 rounds which have a ball and tracer mix of 4: 1 (4 B 1 T). How many rounds are ball? How many are tracer? • 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 4 : Tracer : 1 5 (200 ÷ 5 = 40) (4 x 40 = 160) (1 x 40 = 40) 160 : 40 Created by Spink