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Maths
GCSE

a x 10^4 + a x 10^2 = 24 240 where a is a number. Work out a x 10^4 - a x10^2 Give your answer in standard form.

From first principles: ax10^4 is the same as a0000. ax10^2 is the same as a00

So, a0000

          a00

     a0a00

If we look at this pattern and compare to the number in ...

JB
Answered by Joe B. Maths tutor
11613 Views

Solve the following simultaneous equations: 4x+y=10 and 2x-3y=19

To begin to solve this question, we need to re-arrange the equations presented so they both appear in terms of 3y=. This will allow us to get a value for y and thus a value for x. First re-arrange the fir...

HW
Answered by Hugh W. Maths tutor
9175 Views

Solve this pair of simultaneous equations. 5x + 2y = 20 x + 4y= 13

One way to solve simultaneous equations is to express x in terms of y (or vice versa) and solve your new equation to find one of the values. You can then substitute this into your equation to work out the...

NB
Answered by Ned B. Maths tutor
3859 Views

Text books are stored on two shelves. Each shelf is 0.72m long. Each textbook is 30 millimetres wide. Could 50 textbooks be stored on these shelves? (3 marks)

None caluclator paper, so you know that the divisions/multiplications will be relatively simple. First thing to do is convert both measurements we have into the same units (in this case millimetres). We s...

SD
Answered by Sophia D. Maths tutor
3302 Views

Show that 6sin(60◦) + 5tan(60◦) can be written in the form √k where k is an integer.

sin(60◦) = √3 /2 

tan(60◦) = √3

6sin(60◦) + 5tan(60◦) = 3√3 + 5√3 = 8√3 = √64√3 = √192

AG
Answered by Alistair G. Maths tutor
3736 Views

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