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Maths
GCSE

We have a parallelogram with sides of 8cm and 5cm and an angle of 140 degrees, calculate the length of two diagonals

We would first like to work out the size of all the angles which have not been give, as one angle is 140 degrees we know the angle opposite to it is also 140 degrees due to the symetry of the shape. The t...

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Answered by Thomas O. Maths tutor
3116 Views

If one shop has melons for sale on a buy one get one free offer at £2 a melon with each melon weighing 2kg, and a second shop offering melons at 30p per kilogram. Which shop is the best value for money?

Firstly you would analyse the cost of the melons in the first shop per kg. So you could buy 2 melons for £2 because they're buy one get one free and each weighs 2kg so therefore you're getting 4kg of melo...

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Answered by Faye B. Maths tutor
2929 Views

write log2(5) +log2​​​​​​​(3) in its simplest form

This is an exapmle of the addition rule as part of the logorithm syllabus. 

The general rule is logab + logac = loga(b*c)

When the base of the logarithm is t...

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Answered by Nicole P. Maths tutor
10921 Views

Simplify 3(x-5)/x^2-3x-10

The question is asking us to simplify; in particular, we have to simplify a fraction. We simplify a fraction by cancelling a factor from both the numerator and the denominator. We can apply this algebraic...

NB
Answered by Nathan B. Maths tutor
4806 Views

Emma wants to buy a radio, the full price is £80. In the shop, she is given a discount. A year later, she sells the radio for £78, giving her a profit of 30% of what she bought it for the year before. What discount did she receive? (4)

Finding what Emma paid for her radio £78 / 1.3 = £60 (M1) (A1)

Finding what percentage of £80 that is £60 / £80 = 0.8 or 80% (M1)

Recognising the discount is 20% ie. 1-0.8=0.2 (A1)

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Answered by Helena R. Maths tutor
2794 Views

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