Follow the instructions in this flow chart.

A square piece of paper is folded along the dashed lines shown and then the top is cut off.

The paper is then unfolded. Which shape shows the unfolded piece ?

Sally, Li and Raheelah have birthdays on different days in the week beginning Sunday 2 August. No two birthdays are on following days and the gap between the first and second birthday is less than the gap between the second and third. Which day is definitely not one of their birthdays ?

A square of side length 3 cm is placed along side a square of side 5 cm

What is the area, in square centimetres, of the shaded part ?

A cube has the letters A, C, M, T, H and S on its six faces. Here are two views of this cube.

Which one of the following could be a third view of the same cube ?

Bernd wants to paint the word KANGAROO. He begins on a Wednesday and paints on letter each day. On which day will he paint the last letter ?

A motorcycle driver covers a distance 28km in 30 minutes. What was his average speed in km/h ?

A square piece of paper is cut in a straight line into two pieces. Which of the following shapes can not be created ?

In Crazy town the houses on the right hand side of the street all have odd numbers. The Crazy towners don’t use any numbers with the digit 3 in them. The first house on the right hand side has the number 1. Which number does the fifteenth house on the right hand side have ?

A rectangle has a perimeter of 24cm and one side is twice as long as another. What, in square centimetres, is the rectangle’s area ?

One corner of a cube is cut off, as shown on the picture. Then, the resulting solid is unfolded. Which of the nets below is the net of this solid ?

In the addition shown on the figure the digits of the numbers are replaced by symbols. Different symbols represent different digits, and equal symbols represent equal digits. Find the digit replaced by the square.

The date 01-03-05 ( 1^st March 2005 ) has three consecutive odd numbers. This is the first day in the 21^st Century with this property. How many days with this property are there in total in the 21^st Century ?

In a regular die, the faces are numbered by the numbers 1 to 6 and the sum of the numbers on any two opposite faces is 7. Nick composed a rectangular prism 2 x 2 x 1 using four identical regular dice, with the numbers on any two touching faces of the dice being equal ( see the figure ). The numbers on some faces are shown. Which number must be written on the face denoted by the (?) ?

The structure shown on the figure is glued together from 10 cubes. Roman painted the entire structure, including the bottom. How many faces of the cubes are painted ?