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White paint costs £2.80 per litre. Blue paint costs £3.50 per litre. White paint and blue paint are mixed in the ratio 3 : 2 Work out the cost of 18 litres of the mixture.

Understanding of the ratio: 2+3=5, 3/5 is white, 2/5 blue, 2.8 18 (3/5) + 3.5 18 (2/5) No calculator paper, so check ability to do accurately arithmetic as above and make sure to think about the answer as co...
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Answered by Rhys T. • Maths tutor
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A rectangular path has perimeter of 240m. If the rectangle is split lengthways, two paths of 160m are formed. Work out the lengths of the sides of the original path.

Firstly, make sure to draw a picture! Worded questions are used to catch people out. Drawing a diagram makes solving certain problems much easier. Secondly, notice that we are asked for two pieces of informa...
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Answered by Henry D. • Maths tutor
4264 Views

A circle is given by the equation x^2+y^2-20x-24y+195=0. Draw this circle.

In order to answer this question, we must transform this equation for a circle into the general form of an equation of a circle; namely something like (x-a) 2 +(y-b) 2 =r 2 . Once we have done this, we know ...
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Answered by Bea A. • Maths tutor
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Solving a quadratic with ax^2 e.g. 2x^2 - 11x + 12 = 0

To solve the equation in the form (ax + b)(x + c): Method 1 Rewrite the x term as the sum of 2 different x terms. Start by multiplying the x^2 term and the final number term, to give 24. The two x terms shou...
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Answered by Andrea W. • Maths tutor
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Charlie goes to the shop and buys six cookies, three ice creams, and four chocolates. Cookies cost 60p, Ice creams cost £1.70 and chocolates cost 65p. How much does Charlie spend?

To find out how much Charlie spends in total, you have to figure out how much he spends on each type of thing, and then add them together. To find how much he spends on each kind of thing, you have to multip...
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Answered by Dan T. • Maths tutor
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