Year 9 Interactive Maths - Second Edition

Problem Solving Unit

Problem 3.1  Cube

Using a graphics calculator or otherwise, find the smallest natural N whose cube ends in the digits 99.

The sides of a right-angled triangle have lengths
a – b, a and a + b where a > b > 0.
a.  Show that a = 4b
b.  Find the ratio of a to b.

Problem 3.3  Space Diagonal

The diagonal of a cube is the line joining the vertices that are not on the same face.

The diagonal of the cube shown is 9 cm. What is the total surface area of the cube?

The 8 cm sides of a large square are divided into 4 equal parts.  The square PQRS is then drawn.

Problem 3.5  Area

Problem 3.6  The Square

The diameter of the circle shown in the diagram is 14 cm.  What is the area of the square PQRS?

Problem 3.7  What Part?

Study Another Topic in Chapter 3: Pythagoras' Theorem

[ Squares ] [ Square Roots ] [ Cubes ] [ Cube Roots ] [ Order of Operations ] [ Pythagoras' Theorem ] [ Finding a Short Side ] [ Pythagorean Triples ] [ Problem Solving ] [ Using a Construction Line ] [ Pythagoras' Theorem in Three Dimensions ] [ Problem Solving Unit ] [ Projects ] [ Symbols ] [ Index ]