The diagram shows a right-angled triangle and a parallelogram. The area of the parallelogram is 5 times the area of the triangle. The perpendicular height of the parallelogram is h cm. Find the value of h.

Here are the first four terms of an arithmetic sequence. 5 11 17 23. Write down an expression, in terms of n, for the nth term of the sequence.

Ben is n years old. Chloe is twice as old as Ben. Dan is five years younger than Ben. The total of Ben's age, Chloe's age and Dan's age is T years. Find a formula for T in terms of n.

A stadium cost £600 million. 13/15 of this cost was for the building. The rest of the cost was for the land. Work out the cost of the land.

In a sale, the normal price of a boat is reduced by 15%. The sale price of the boat is £272 000. Work out the normal price of the boat.

The diagram shows a right-angled triangle and a quarter circle. The right-angled triangle ABC has angle ABC = 90° The quarter circle has centre C and radius CB. Work out the area of the quarter circle. Give your answer correct to 3 sf

Here are the first five terms of a number sequence. 45 40 35 30 25. A term of this sequence is −5 . Which term?

A square has an area of 81 cm2 Find the perimeter of the square.

Mary needs to work out the size of angle x in this diagram. She writes x = 63° because base angles of an isosceles triangle are equal. Mary is wrong. Explain why.

Write the ratio 4.5 : 2.25 in the form n : 1

In the Northern hemisphere the ratio of the area of land to the area of water is 2 : 3 Work out what percentage of the area of the Northern hemisphere is land.

The table shows information about the heights of 80 plants. Find the class interval that contains the median.

There are men and women at a meeting. There are 28 women. 30% of the people at the meeting are men. Work out the total number of people at the meeting.