An A square fits exactly inside a circle with each of its vertices
being on the circumference of the circle.
The square has sides of length x cm.
The area of the circle is 56 cm.
Work out the value of x.
Give your answer correct to 3 significant figures.

Prove that 3: 8 is equivalent to 12: 32.a. use diagrams to support your answer.

Find the quotient. 50a2 – 98b2 -5a +7b

Agroup of students want to create a garden. they do not know the exact measurements but they propose using a variable to represent the length and width of the garden. the length of the garden is 10 feet longer than double the width. use a single variable to write algebraic expressions for both the length and width of the garden. write an algebraic expression for the area of the garden. use mathematical terms to describe this expression.