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Great Missenden Church of England Combined School

An Academy of the Great Learners Trust


Problem Solving and Reasoning

This is the first out of two problem solving and reasoning papers. This paper is out of 35 marks. You will need to set a timer for 40 minutes. Please read the instructions below carefully.

You must show your working clearly, this is particularly important for the two and three mark questions.


You will need a ruler and a protractor for this paper. If you do not have a protractor, please let your teacher know when you submit your score that you were unable to complete that question.


Here are common mistakes that we see in the classroom:

- Not showing working.

- Copying the question down wrong.

- Copying the answer down wrong when transferring it from your working to the answer box (if the answer is wrong in the box you wouldn't get a mark).

- Not reading the question properly so doing + instead of - for example.

- Numbers not showing what you want them to show, 0 looking like a 6 for example.

- Missing out decimal points.

- Not checking your answers!

- Remember that problem solving papers are often slightly more challenging that arithmetic papers for many of you but remember, you know how to do the arithmetic methods attached to the different questions. Think carefully about what each question is asking you to do. At least make a start with the questions as you might get there in the end of at least get a mark!


If you finish within the 40 minutes you should use all of the remaining time to check your working and your answers.


Once you have completed the 40 minutes, please mark your work (or ask an adult to go through it with you if they are free). You will find the answers in the below document from pages 18-29.

Now count up how many marks you achieved out of 35 and please send this score to your teacher, it won't be until Friday that we can let you know your combined maths scaled score as we need all three papers to be completed before we can work this out.


If there is an area you need further support with please ask your teacher and we will be happy to help :)