__Angles____Alien Angles__

__Shape__

__Square Numbers and Square Roots__

**Mental Maths Strategies**

When answering maths questions, especially worded problems, it is important to know how to work through it. Below are some **hints and tips** on how to tackle maths questions and worded problems.

__Problem Solving Strategies__

***Remember that not all of these are suitable for every maths question. Choose the best strategy for the problem you are working on.**

**Look for the important words in the question**. Write them down or underline them. Decide on what the question is asking you to do .e.g. multiplication? fractions? subtraction?**Look for a pattern**. Can you see somehting happening over and over again? Will this help you solve the problem?**Have a go!**Try an answer. Does the answer make sense?**Use a table or a chart.**Will something like this help?**Use a drawing.**Can you draw something about the problem? Will this help you to find the answer?**Work backwards.**Can you start at the ned of the question to help work it out? Will your answer work?**Try an easier problem.**Can you change the numbers in the question to make it simpler? Will this make finding the answer easier?**Make a model.**Can you use paper or blocks to help you find the answer? Can you use people to help you find the answer?**Think logically.**Can you tell somehting about the answer straight away? Can you get rid of answers that are not correct?

__Mental Maths Strategies__

***We will be practising these strategies in class throughout the year. Use the strategies that feel best to you because not every one will ‘feel’ natural for you.**

**Use the maths links on the Blog and the maths online dictionary to remind yourself of some of the concepts you might not remember.**

__Mathematical Vocabulary – Word Problem Words__

**Increased by: ** The class had 15 pupils and was __increased__ by 10 children. How many children are there in the class now?

** more: **Julie has 21 Beanie Babies in her collection – her sister Emma has 10 __more__. How many does Emma have?

**combined/put together:** Jake and Joel __combined__ their pocket money of £5.50 each to buy the new Xbox game. How much money did they have __together__?

** ****total (smaller numbers):** There were 8 Roses, 12 Carnations, and 2 Daisies. How many flowers did they have in __total__?

** sum: **Alexis earned £10 washing cars and Sarah earned £15. What was the __sum__ of their earnings?

** ****added to:** Ellie saved £3.50 last week. __Added to__ savings of £2 this week, how much does she now have?

** ****altogether:** Jake has 13 sweets and Jarratt has 22! How many sweets do they have __altogether?__

**in all:** Auntie Anne gives Jade 12 carrots from her allotment and her mum brings back a bag of 8 from Asda. How many carrots does she have __in all__?

**additional: **Ben has 105 Harry Potter collector cards. If he had ten __additional__ baseball cards, how many would he have in all?

** ****decreased by:** The population of 1000 whales __decreased__ by 400 in the last year. How many are left?

**minus:** She had £10, __minus__ the amount she spent on the £3 drink. How much did she have in all?

**drops/dropped: **The temperature was 4° and just __dropped__ by another 3°! What is the temperature now?

** ****difference between /****difference of:** Gemma’s mum gives her £3.50 pocket money for hovering and polishing through the house. James gets £5 for doing the same thing. What is the __difference between__ their pocket money?

**More than:** Jacob has 16 marbles – that’s 12 __more than__ William. How many marbles does William have?

**Less than:** Sarah has 20 sweets and her sister Suzie has 5 less than her. How many sweets does Suzie have?

**Fewer:** Jenny baked six __fewer__ cookies than Elizabeth, who made 12. How many cookies does Jenny have?

**How many more?:** Kate has 20 Daises and Emily has 31. __How many more__ Daises does Emily have than Kate?

**How much more?: **Billy has spent the last year saving £150 – he desperately wants a laptop that costs £300. __How much more__ does he need to buy it?

** ****Left:** Mrs. Bee bakes 30 beautiful chocolate-chip muffins for the adults in school. 18 people grab one at break. How many are __left__?

** ****remain/remains:** There are 15 people on the bus and 3 people get off. How many people __remain__ on the bus?

**Words ending in “er” ****(higher, longer, faster, heavier, larger, shorter, ****slower, further, etc.):** Jack can run 100m in 25 seconds but Andrew can do it in 14! How much __faster__ is Andrew’s 100m race than Jack’s?

** ****Take away:** Jamie has 12 biscuits. If his mum __takes away__ 10, how many does he have?

** ****TWICE: **Elijah Wood, the actor in ‘lord of the Rings,’ played a hobbit that was 120cm tall but in real life the actor is __twice__ as tall! How tall is he really?

** ****TIMES: **Caroline’s school bag weighs 2g but her brother, Ollie, likes to take lots of books to school – his bag weighs __5 times__ as much! What does his weigh?

** ****multiplied by:** There used to be 100 children in school. The number of pupils has __multiplied by three__ in the last few years! How many children are there now?

** ****product of: **What is the __product of__ five and four?

** ****in all: **At the cinema (screen 8) there were 10 rows of seats and 20 chairs in each row. How many seats were there __in all?__

** ****total: **In the garden there are five rows with five plants in each row. How many plants are there __total__?

** ****each****:** __Each __pair of socks cost £1.00. How much will six pairs cost?

** ****doubled, tripled, quadrupled ****etc.:** There were 3,000 rabbits in the UK. The population (total number of rabbits) __tripled__ in two years. How many are there now?

**equal / equally: **I bought a dozen (12) eggs from the market this morning and split them __equally __between two boxes. How many eggs went in each box?

** ****separate:** Hannah and I make 50 friendship bracelets – we decide to __separate__ them evenly and sell them. How many bracelets do we each have?

** ****share:** Bailey brings in 60 sweets for his birthday and decides to __share__ them out in class. There are 20 children in his class – how many sweets do they each receive?

** ****split: **On a class trip, there is a class of 24 children and they are __split__ into 6 groups. How many children are in each group?

** ****group/groups:** At swimming, the class of 32 children is split evenly into two __groups__. How many pupils are in each group?

** ****fractions ****(****half, quarter, fifth, sixth, tenth etc.****): **Kieran has £20. He spends __half__ of this money on cat food – how much does he have left for other things?