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What is problem solving?

Problem solving is a great way to put your money knowledge into practice and think about how money is used in the real world.

Remember that RUCSAC can help you solve word problems:

A rucksack

RUCSAC is an acronym that helps us to remember the order to tackle word problems:

READ the question carefully.

UNDERLINE and UNDERSTAND key words.

CHOOSE the correct operation (+ - x 梅) and method.

SOLVE the problem!

ANSWER the question.

CHECK your working out.

Now let's take a look at some money problems and use RUCSAC to help us solve them.

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Example 1

Charlotte

Charlotte saved 拢18.45 of the money she got for her birthday and 拢11.53 of the money she earned from babysitting her brother. How much money has she saved altogether?

  • READ

Have you read the question carefully?

  • UNDERLINE and UNDERSTAND

Underline or highlight the important information. Do you know what the problem is asking?

Charlotte saved 拢18.45 of the money she got for her birthday and 拢11.53 she earned from babysitting her brother. How much money has she saved altogether?

  • CHOOSE

'Altogether' tells us that we need to add the amounts together.

  • SOLVE

You can use the column method to work out this sum.

Charlotte
拢18.45 and 拢11.53 added together using the column method. the answer is 拢29.98

So 拢18.45 + 拢 11.53 = 拢29.98

  • ANSWER

You鈥檝e worked out how much Charlotte saved altogether so you have answered the question.

  • CHECK

Double check that you have added up the numbers correctly and the decimal points are in the correct position. Make sure you have used the pound sign.

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Example 2

Cake

A cake costs 拢2.10. How much do 5 cakes cost?

  • READ

Read the question again and make sure you understand it.

  • UNDERLINE

Now highlight the important information:

A cake costs 拢2.10. How much do 5 cakes cost?

  • CHOOSE

This question is asking you what 5 lots of 拢2.10 is, so the operation to choose is multiplication.

Cake
210 x 5 = 1050 shown as column multiplication
  • SOLVE

Turn the pounds into pence first so it鈥檚 easier to multiply.

拢2.10 = 210p

  • ANSWER

Turn the pence back into pounds.

1050p = 拢10.50

  • CHECK

Always check your working out!

Top tip

Top tip

You could also use visual images to help you solve this question through repeated addition.

Top tip

Here are our 5 groups of 拢2.10 using a two-pound coin and a 10p coin.

5 拢2 coins and 5 10p coins

Now add up all the two-pound coins and 10p coins to see how much there is altogether.

拢10.50

Both answers are the same. There's usually more than one way to solve a problem!

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Activities

Activity 1

Using a pen and piece of paper and remembering the RUCSAC method, try to work out the following:

For her birthday, Amelia receives 拢5.00 from her grandfather and 拢10.00 from her aunt.

With the money, she decides to buy a book for 拢7.99 and then some chocolates on offer for 拢3.90.

Does she have any birthday money left, and if so, how much?

Coins made form card

You may find it helpful to use some real or pretend money to help you find the answer to the question.Or you can make your own; draw around real coins or bottle caps onto paper or card.

Coins made form card
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Quiz

Try this quiz to see how well you understand multiplying amounts.

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NEW! Play Guardians: Defenders of Mathematica - the winter update. game

It's Mathematica as you鈥檝e never seen it before, with all-new festive backgrounds and costumes. Available for a limited time only. Use your maths skills to save the day before it's too late!

NEW! Play Guardians: Defenders of Mathematica - the winter update
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