Student resources.

Twenty divided into six: http://nrich.maths.org/1047
Journeys in Numberland: http://nrich.maths.org/7285

The forgotten code: a brain teaser

A man wanted to get into his work building, but he had forgotten his code. However, he did remember five clues. These are what those clues were:

• The fifth number plus the third number equals fourteen.
• The fourth number is one more than the second number.
• The first number is one less than twice the second number.
• The second number plus the third number equals ten.
• The sum of all five numbers is 30.
• What were the five numbers and in what order?

On Sunday I spent 114 minutes on my art project and 45 minutes on my maths homework. On Thursday evening I spent a total of 111 minutes on my homework. What is the difference between the time I spent doing homework on Sunday and Thursday evening?

Dad drives a truck. Last week he drove 267 miles on Monday, 186 on Tuesday and 198 on Wednesday. This week Dad drove 282 miles in total. What is the difference between mileage for this week and last week?

One watch costs £3.99 and another costs £2.99. I bought them both with a 10 pound note. How much change did I get?

At the fabric shop I bought 238 metres of orange fabric, 100 metres of yellow fabric and 267 metres of purple fabric. I have used 15 metres of the orange fabric, 25 metres of yellow fabric and 7 metres of purple fabric. How many metres of fabric do I have left in total?

I got £48.50 for my birthday. I spent £12.50 on Saturday and £19.20 on Sunday. How much spending money do I have left?

Sally bought 3 photo frames, each costing £7.55. She paid with £30. How much change did she get?

Alice is trying to complete a sticker book. It needs 350 stickers overall. She has 134 in the book and a further 74 ready to stick in. How many more stickers will she need?

A supermarket has 1284 loaves of bread at the start of the day. During the day, 857 loaves are sold and a further 589 loaves are delivered. How many loaves of bread are there at the end of the day?

In a garden centre, rose seeds cost £1.38, lily seeds cost £1.15 and daffodil seeds cost 85p. Jan buys a packet of rose seeds and a packet of daffodil seeds. How much change does she get from a £5 note?

Barry has 50 litres of fuel in his car and his petrol tank is full. On a journey to Wales, he uses 30 litres of fuel. On a journey to the shop, he used 1250ml of fuel. How much fuel will he have to put back in to fill the tank?