Rithvik's Blog GCSE

The diagram shows a trapezium ABCD with AB parallel to DC. E is a point on AD such that DE is perpendicular to DC. The length of AD is x cm and the length of DE is y cm. Given that: The area of triangle AED is x²/4 The area of the trapezium ABCD is x² + 16cm^2 Find an expression for the length of BC in terms of x

A box contains red, blue, and green marbles. There are twice as many red marbles as blue marbles, and there are 5 more green marbles than blue marbles. If the total number of marbles is 37, how many of each colour marble are there?

A train travels a distance of 180 miles in 3 hours. If the train travels at a constant speed, how long will it take the train to travel 270 miles?

A rectangle has a length that is 3 times its width. If the perimeter of the rectangle is 48 cm, find the dimensions of the rectangle.