14122021 Using RUCSAC Understand the RUCSAC method Apply

14/12/2021 Using RUCSAC • Understand the RUCSAC method. • Apply it to Numeracy questions.

RUCSAC What have you got in your RUCSAC to help you solve word problems?

Read the question carefully. What is the important information?

Underline the key words – what is this question asking you to do?

Calculation? Decide which calculation you will need to do. Write it down.

Solve the problem, make sure you follow all the steps.

Answer Have you answered the question? What were you meant to find out?

Check your answer. If possible, check using the reverse operation to check your working out.

Sally has saved 70 p of her pocket money. She wants to buy a comic that costs £ 1. 20. How much more does she need to save?

• Sally has saved 70 p of her • £ 1. 20 is the amount she needs. • How much more does she need to save? Sally has saved 70 p of her pocket money. She wants to buy a comic that costs £ 1. 20. How much more does she need to save? • What is 70 p as a decimal? • What is £ 1. 20 in pence? 120 70 50 Sally needs to save 50 p more (£ 0. 50) CHECK 70 p + 50 p = £ 1. 20

There 78 books on the top shelf, and 42 on the bottom shelf. I take 29 of them away. How many are left?

How many are left? • 78 Books on the top shelf. • 42 on the bottom shelf. • 29 are taken away There 78 books on the top shelf, and 42 on the bottom shelf. I take 29 of them away. How many are left? • What is the total number of books? 120 29 91 There are 91 books left. CHECK 91 + 29 = 120

14/12/2021 More RUCSAC • Understand the RUCSAC method. • Apply it to Numeracy questions.

• 21 , 27, 93 are odd numbers. • Find the sum of the odd numbers 21 • Sum means add. + 27 93 141 CHECK 21, 27 and 93 are odd.

• Orange robot moves 200 m in 1 hour. • Blue robot moves 100 m in 1 hour. • They start at 4 pm. • What time do they meet? • How far does it take the orange robot to travel 100 m? 200 m 4 pm 200 m 5 pm 100 m 6 pm 100 m 5 pm CHECK 600 m apart; orange travels 400 m and blue 200 m 4 pm

• • Orange robot moves 200 m in 1 hour. Blue robot moves 100 m in 1 hour. They start at 4 pm. They are travelling in the same direction! • What is the distance between them after each hour? • What time do they meet? 4 pm – 600 m 5 pm – 500 m It takes them 6 hours to meet; they start at 4 pm. Six hours from 4 pm is 10 pm.

• The first puzzle is 5 by 5. • The second puzzle is 7 by 5. • The third puzzle has 45 pieces. • How many pieces does the first puzzle have? • How many pieces does the second puzzle have? • Explain why there are 45 pieces in the next jigsaw puzzle. Area = Length x Width First puzzle; A = L x W First puzzle; Third puzzle; =5 x 5 = 25 cm² (Check count 25 squares) =9 x 5 = 45 cm²

• One Third of a number = 18 • What is the original Number? ? • What is One SIXTH of that number One third = 18 Two Thirds = 36 Three thirds = 54 (Three thirds is a whole) 1/6 of 54 = 54 ÷ 6 =9

• The red balloon lifts 0. 4 kg • The yellow balloon lifts 3. 2 kg • The blue balloon lifts 25. 6 kg • BUT NO MORE – means you can’t go over the limit, which is 8 kg. • How many red balloons are needed to lift 8 kg? – BUT NO MORE • How many other ways can you lift 8 kg? – BUT NO MORE • 1 red = 0. 4 kg • 10 red = 4 kg • 20 red = 8 kg • 2 yellow = 6. 4 kg • 4 red = 1. 6 kg • Total = 8 kg • 1 yellow = 3. 2 kg • 12 red = 4. 8 kg • Total = 8 kg

• • The red balloon lifts 0. 4 kg The yellow balloon lifts 3. 2 kg The blue balloon lifts 25. 6 kg The man weighs 72 kg • BUT NO MORE – means you can’t go over the limit, which is 72 kg • You must try more than one option. • Which balloons can lift his weight but no more? • Work this out using as few balloons as possible. • • 2 Blue = 51. 2 kg 6 yellow = 19. 2 kg 4 red = 1. 6 kg Total = 72 kg 20. 8 kg left 1. 6 kg left

• The red balloon lifts 0. 4 kg • The yellow balloon lifts 3. 2 kg • The blue balloon lifts 25. 6 kg • The lifting does not double when the size doubles. • How much can the purple lift? • The balloons double in height but the lifting power is not double. • Red = 0. 4 kg • Yellow = 3. 2 kg • 3. 2 ÷ 0. 4 = 8 TIMES • 25. 6 x 8 = 204. 8 kg

• • They are making 275 biscuits. They cost 8 p to make. They want to sell them at 25 p They want a profit of £ 40. 00 • How much will it cost to make 275 biscuits? • We need to work out the profit. • How many biscuits do they need to sell to make a profit of £ 40. 00? Initial cost = 275 x 8 p = £ 22. 00 Amount needed to make = £ 62. 00 (Cost + profit) £ 62. 00 ÷ 0. 25 = 248 biscuits sold Check = 248 x 0. 25 = £ 62. 00

• Costs £ 875 plus VAT. • Can fit up to 200 people. • How much will you charge for people to come to the pool party? 20% of 875 = £ 175 Total Price = 875 + 175 = £ 1050 • How much is VAT? • How many people are likely to come? Total at £ 5. 00 per ticket = 5 x 200 = £ 1000 (Not enough to cover cost) Total at £ 6. 00 per ticket = 6 x 200 = £ 1200 (but will all 200 come) Total at £ 7. 00 per ticket = 7 x 200 = £ 1400

• Cat and one brick = 35 cm • Cat and two bricks = 40 cm • Cat and unknown number of bricks = 90 cm • How tall is the cat? • How tall is each brick? • How many bricks are there? Cat and one brick = 35 cm Cat and two bricks = 40 cm Difference = 5 cm Brick is 5 cm high so cat is 35 – 5 = 30 cm tall. How many bricks = 90 – 30 (cats height) = 60 cm 60 ÷ 5 = 12 bricks. Check 12 x 5 = 60 + cats height of 30 = 90 cm

• There are 4 statements. Even + Even = Even - Even = Even x Even = Even ÷ Even = Even • Workings to show which one is wrong. • What are even numbers? • Which statement is WRONG? Even + Even = Even 2 + 2 = 4. 6 + 10 = 16 This is TRUE Even x Even = Even - Even = Even 4 x 2 = 8. 4 - 2 = 2. 20 – 4 = 16 This is TRUE 10 x 6= 60 This is TRUE Even - Even = Even 6 ÷ 2 = 3. 30 ÷ 2 = 15 This is FALSE

• 2 dice are thrown. • Each dice has 1, 2, 3, 4, 5 and 6 on it. • What numbers are on the dice? • What are the possible outcomes on the dice? • Which is more likely an odd or even number? • Which total are you most likely to get? • 7 is the most likely total. • It is Just as likely to get an odd or even (50/50)

• Hot Tap Fills the Bath in 15 minutes. • Cold tap fills it in 10 minutes. • How long will it take to fill with both taps on? • What fraction of the bath is filled in one minute with the hot tap? • What fraction of the bath is filled in one minute with the cold tap? 10 1 15 + 15 1 10 150 = = 25 150 1 6 = 6 Minutes

• • 8 Km/h steep mountains. 16 Km/h on the flat. 32 Km/h downhill. Total Distance is 143 Km • Time = Distance / Speed • How long does it take to cycle the 143 Km.