Search our library of Maths GCSE questions

Top answers

Maths

GCSE

We have two straight lines AB and CD. The coordinates of A,B and C are A(1,3), B(5,9) and C(0,8). The point D lies on the line AB and is halfway between points A and B. Is the line CD perpendicular to AB?

First of all we need to find the coordinates of the point D. As D is halfway between the two points A and B, to find the midpoint of a line segment, we add the x coordinates then divide by 2, and add the ...

Answered by Bryony H. • Maths tutor

5527 Views

Kevser buys 5kg of sweets for £10. She separates the sweets so that there are 250g of sweets in each bag. She sells each bag for 65p. She sells all bags. What is her percentage profit?

1kg = 1000grams 5kg = 5000 grams. 5kg will give 20 bags (5000/250). Total amount she will make from selling is £13. Hence, profit percentage is (13-10)/10*100. Which gives profit percentage since profit i...

Answered by Kevser T. • Maths tutor

3021 Views

The equation of a straight line is 3x + 2y = 24. Find where the line crosses the x-axis.

Let's first think about what it means when the line crosses the x-axis. If we consider a normal x-y coordinate plane, every point on the x-axis has a y value of 0. So if we are trying to find out where th...

Answered by Angela D. • Maths tutor

6536 Views

Write 8^2(4^2 / 2^7) in the form 2^x

We know that 8² = (2³)² = 2⁶and 4² = (2²)² = 2⁴So we can write the original expression as 2⁶(2⁴

Answered by Charlotte C. • Maths tutor

2516 Views

Probability: These 6 coins are in a box - 10p, 10p, 10p, 20p, 20p, 50p. Someone takes 2 coins at random. What is the probability that the total value of the two coins is at least 40p?

The question has a number of important points which should be highlighted before beginning. Firstly the fact that the picks are at random. Secondly that the value of the coins must be at least 40p, so a t...

Answered by Tom P. • Maths tutor

6972 Views