Search our library of Maths questions

Top answers

Maths

All levels

There are 10 boys and 20 girls in a class. The mean mark for the class is 60, the mean mark for the girls is 54. Work out the mean mark for the boys.

Answer: The boys mean mark is 72.Explanation:Start by writing down all the information given in the question: (number of boys = 10, number of girls = 20, girls mean = 54, class mean = 60)Then have a think...

Answered by Verity B. • Maths tutor

11263 Views

How do you solve simultaneous equations?

A simultaneous equation is when we have 2 equations which both have X and Y in them. The best way to solve these equations is to rearrange one of them to make either X or Y the subject, and then substitut...

Answered by Charlie N. • Maths tutor

3694 Views

Differentiate y = x^2 + 3x + 5

y = x² + 3x + 5
dy/dx = 2x + 3

Answered by Jonny M. • Maths tutor

7439 Views

The co-ordinates of P and Q respectively are (-9,7) and (11,12). M is on the line PQ such that PM:MQ = 2:3. L passes perpendicularly through M. What is the equation of L?

Draw a visual representation of P, Q, M and L.Work out the gradient of PQ to be 1/4.Know that the gradient of 2 lines perpendicular to each other multiplied is -1, therefore the gradient of L = -4. Work o...

Answered by Varun A. • Maths tutor

9035 Views

How do I differentiate a function of x and y with respect to x?

To differentiate a function of x and y, you must differentiate x as you would ordinarily, and then differentiate y as you would normally, but multiply the differentiated term by dy/dx. For terms with x an...

Answered by Hannah M. • Maths tutor

31194 Views