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Here is a list of numbers, ' 1, 3, 9, 24, 30'. Which number is i) prime ii) a square number and iii) a multiple of 4

i) 3 is the only prime number (be careful not to say 1, because 1 is NOT prime) ii) 9 is the only square number iii) 24 is the only multiple of 4
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Answered by Anika S. • Maths tutor
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Solve the following simultaneous equations: a + 3b = 12, 4a - 3b = 18 (KS3 2010 Paper 2)

So with simultaneous equations we want to try and eliminate one of the unknowns we have. In this case, they are a and b. If we label the two equations 1 and 2 we have to find a way to reduce the equations to...
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Answered by George B. • Maths tutor
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A cake recipe for 4 people has the following ingredients: 150g of flour, 120g of sugar, 80g of butter, 20ml of milk, and 2 eggs. How much sugar do I need to bake a cake for 7 people?

120 g of sugar is required for 4 people Therefore 120/4=30 g of sugar is required per person. So 30x7=210 g of sugar is required to make a cake for 7 people.
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Answered by Anika S. • Maths tutor
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Find the next term in the arithmetic sequence '8,11,14,17,...'

Begin by finding the difference between each consecutive term11-8=314-11=317-14=3 This shows that to get to the next term of the sequence, you add 3. Therefore the next term of the sequence is 20.
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Answered by Anika S. • Maths tutor
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Prove that √2 is irrational

Begin by assuming that √2 is rational, and can therefore be written as √2 = p\q where p and q are coprime integers.By squaring both sides, you get the result 2 = p 2 \q 2 , which rearranges to show that p 2 ...
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Answered by Anika S. • Maths tutor
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