If each child can blow up 3 balloons in 1 minutes, how many balloons can a group of 5 children blow up in 2 minutes ?

I roll two dice with the numbers 1 to 6 on each one and obtain a total of 9. Which of the following numbers could not have been rolled ?

Henry covers his des using 100 post-it notes. Sally’s post-it notes are half the area of Henry’s and her desk is twice the area. How many of Sally’s post it notes will she need to cover hher desk ?

Five towns are joined by a system of roads as shown

How many different ways are there of travelling from town P to town T if, on any particular journey, no road is used more than once and no town is passed more than once ?

In my pocket  have three coins, a 50c coin, a 1 dollar coin and a 2 dollars coin. How many different amounts of money can I make up using one or more coins ?

Jenny arrived at the bus stop to find she had missed the 09:27 bus by two minutes and would have to wait for the 09:57 bus. How long will she have to wait ?

The digits 7, 5, and 9 are written on cards as shown

Six different 3-digit numbers can be made using these cards. If these numbers are arranged from the smallest to the largest, in which position is 795 ?

Twelve 1 by 1 tiles, like this  are arranged to form a rectangle. Which of the following could be the perimeter of that rectangle ?

A 3 by 3 square is made up from nine 1 by 1 squares as shown

A straight line is drawn through the large square. What is the largest number of small squares which the ine can  pass through ?

There are five blocks of different colours stacked on top of each other. The red block is above the purple block, the blue block is underneath the orange block and the green block is below the blue and above the red

Which colour is the bottom block ?

Some steps are built using 36 wooden blocks as shown in the diagram

All the faces on the outside except the bottom ones are painted blue. How many blocks do not get any of their faces painted ?

In the year 5 classroom, the desks are arranged in equal rows, Phil sits at the desk that is fourth from the front and third from the back. There are four desks on the right of Phil’s desk but only one to the left. How many desks are there in the room ?

A carpenter made 20 chairs and stools with a total number of 73 legs

If the chairs each have 4 legs and the stools each have 3 legs, how many chairs did she make ?

Lisa collected 50 seashells over a period of five days. Each day she collected three more than she had collected the day before. How many shells did she collect on the fifth day ?

An apartment block has a number of square apartments and a number of square gardens. Apartments must have at least one window, either to the out side or to a garden. In figure 1, one apartment has a window to an internal garden G, and ten have windows to the outside.

What is the smallest number of gardens needed for an apartment block built on a 6 x 6 square, as in figure 2, so that each apartment has a window to the outside or to an internal garden ?