This exercise involves reading and analysing data from charts, calculating averages and percentages and estimating length. It will also help you with the Driving Theory Test and hopefully help you to stay safe when you are driving.
There is an interactive version here and a worksheet version here.
Here are the highlights of the 2015 Mens Final.
Can you use your skills to answer the questions? They range from easy Entry Level to GCSE questions involving data handling, time, distance, speed and Pythagoras. There is a Scale Drawing task that is very good practice for Level 1 students.
Many thanks to Mr Barton for this excellent quiz.
Can you correctly answer the questions about this graph?
There are two extra questions on the worksheet which are also below.
- Draw a suitable chart to display this data.
- Write two interesting facts that the graph shows.
In May 2015 the United Kingdom went to the polls. A Conservative Government was elected. The UK uses the “first past the post” electoral system. The country is divided into 650 constituencies. The candidate with the most votes from each constituency is elected.
Most other countries in Europe use various forms of proportional representation. This means that the number of MP’s for each party would be proportional to the number of votes that were cast for them. (There are many different forms of PR, but in this exercise, to keep it simple we are going to work out the number of MPs by dividing the vote for each party by the total vote and then multiplying by 650, which is the total number of MP’s in the House of Commons. )
First fill in the missing numbers in this table. You will need a calculator. Remember that to round to two decimal places you need to look at the 3rd decimal place. If this is 5 or more round the 2nd decimal place up. If it is less than 5 then ignore it. eg 34.349239=34.35 to 2dp. 2.983432909=2.98 to 2 dp.
If you got the first exercise correct I want you to illustrate your results with two pie charts. Use this table to work out the degrees for each party. You can draw them in excel or with a protractor and pencil.
If you would rather do this exercise using a worksheet download here.
If you can factorise a quadratic that is the easiest way to solve it. Some quadratics don’t factorise, so then we can use the formula. This video from jayates shows how to do it. If you are studying GCSE Higher you are currently given the formula in the exam so you don’t have to learn it off by heart, but don’t forget to refer to the formula sheet at the front of your exam paper when you need it.
Maths is fun explains this well but don’t worry too much about the “imaginary numbers” at the end. If you are doing Higher you don’t need to know that yet.
Here is a worksheet that you can print off and practice solving quadratics with the formula.
This video shows you how to solve simultaneous equations using algebra.
This video shows how to solve simultaneous equations using a graph.
Now you try!
Study Maths (more examples and interactive worksheets)
Have a go at this worksheet to find all the Prime Numbers less than 100.
Now try this much bigger Sieve to find all the Prime Numbers less than 400! Start by clicking on 2 and all the multiples of 2 will be removed. Then click on 3 to remove the multiples of 3 and continue clicking on the prime numbers until you are only left with red prime numbers.
Also take a look at this video
In these days of austerity, benefits are being cut and prices continue to rise. It has never been more important to be careful with your money, as getting into debt can spiral out of control and have dire consequences. A first step in taking control of your finances is to understand what you spend your money on. This sheet will help you work this out. To do it accurately you will need to record your spending carefully for several weeks but you may be able to estimate figures until you have got more accurate information.
Fill the figures in for an average month. So for example if you pay an MOT fee of £54.85 each year this would be recorded as 54.85/12 = £4.57 a month. If you spend £10 at the pub once a week that would be recorded as 4 x £10 = £40.
There is also an on-line version which does the sums for you here.
Be systematic! What sort of numbers are important to help you solve this problem?
How many triangles are in this shape? (A Transum starter)
When you are absolutely sure you have counted them all, click here and press the yellow button to see if you are right.
Click here to download this Level 2 Functional Maths worksheet, Don’t always believe what you read in the newspaper.
It concerns how much money you can save by spending less time in the shower.
How many sqaures can you find in this diagram? Download a pdf worksheet here.
An excellent introduction to upper and lower bounds from mymaths