The product of two numbers is 88. If one number is three more than the other, what are the numbers?

A right-angled triangle has sides 1cm and 8cm shorter than the hypotenuse. Find the length of the hypotenuse. 

A ball is thrown in the air. After \(t\) seconds, its height, \(h\), is given by the formula \(h=40t-5t^2\) (where \(h\) is in metres)

i) What is the height after 2 seconds?

ii) When will the ball strike the ground?

A rectangle is 8cm longer than its breadth. If the area of the rectangle is \(48\,cm^2\), what is its perimeter?

Each term inthe sequence \(2,5,8,...\) is 3 more than the previous term. The sum \(S\) of the first \(n\) terms in the sequence is given by \(S=\dfrac{n}{2}(3n+1)\). How many terms are needed to make a sum of \(155\)?

Amy's mother is 2 years less than 5 times Amy's age. 12 years from now, the product of their ages will be 1320. What is Amy's present age?

As shown in figure, ABC is a right angled triangle with dimensions marked in cm. If its area is \(60~\rm{cm}^2\), find the length of its hypotenuse \(AC\).

The sum of squares of two consecutive positive odd integers is 2594. Which even number comes between these two odd integers?

\(ABCD\) is a kite such that its longer diagonal AC is \(10~\rm{cm}\) longer than twice the length of diagonal BD. If its area is \(300~\rm{cm}^2\), find the length of longer diagonal.

As shown in figure, \(ABCD\) is a trapezoidal block. If its area equals \(156~\rm{cm}^2\), find the value of \(x\).