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Maths
GCSE

Anne picks a 4-digit number. The first digit is not zero. The 4-digit number is a multiple of 5. How many different 4-digit numbers could she pick?

We know that a digit can be a number between 0 and 9. In this case, the first digit can't be 0, so it has to be a number between 1 and 9. So, we have 9 possible choices for the fi...

Answered by XENI D. Maths tutor
9192 Views

Solve the simultaneous equations: 2x + 3y = 5 and 3x + 4y = 12

  1. 2x + 3y = 52. 3x + 4y = 12
    Firstly, you want to have the same amount of x variables, or y variables. To get the same x, we multiply 1. by 3, and multiply 2. by 2, giving us:
    3. 6x + 9y = 1...
Answered by Quincy O. Maths tutor
5522 Views

How do I make x the subject of the formula?

5x+11=(y+2)/2
Best way to think about this is like its a normal equation where you're trying to find the value of x, just break it down into simple steps. The best thing to do first is to get rid of ...

Answered by Isabelle O. Maths tutor
11087 Views

The first floor of an ancient japanese tower has 150 steps. Each floor above has 5 fewer floors than the previous. So, the second floor has 145 steps, the third 140 etc. How many floors does the tower have if the final floor has 30 steps leading to it.

Note this is an arithmetic series problem, so we use the equation: xn = a + d(n-1).
Number of steps on the first floor is 'a', i.e. a = 150.
Difference in the number of steps on each ...

Answered by Joel F. Maths tutor
2619 Views

The ratio of Adam's age to Bob's age is 1:2. In 12 years time, the ratio of their ages will be 3:5. Calculate their current ages.

Now: In 12 years:A:B A:B1:2x:2x x+12:2x+12 = 3:5
x+12 = 2x+123 55(x+12) = 3(2x+12)5x + 60 = 6x + 36x = 24
A:B Adam = 24, Bob = 48x:2x24:2(24)24:48

Answered by Aaron S. Maths tutor
4027 Views

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