A string of coloured beads begins with a red, then a green, then a blue, then a yellow. This pattern is repeated many times. What colour is the 26th bead?
In the diagram, the arrow ‘$\longrightarrow$’ means ‘is half of’. For example, ‘$\boxed{\phantom{xx}}\longrightarrow\triangle$’ means ‘$\boxed{\phantom{xx}}$ is half of $\triangle$’. If $\diamond$ is 8, what is $\square$?
A park needs seven new picnic tables, each with a top and two seats. The tops are each made from four boards and each seat is made from two boards. How many boards does the park manager need to order?
Jenny has three boxes, each having the same number of toy cars inside. She finds two more cars down the back of the sofa. When she counts all her cars she finds that she has 17. How many cars are there in each box?
A box holds socks which are all the same size. There are 6 white, 10 blue and 16 grey socks. What is the least number of socks I need to take out, without looking, so that I can be certain of getting a pair of matching socks?
There is a stack of 45 blocks with one block on top, 2 blocks in the next row, 3 in the next row and so on. How many blocks are in the bottom row and how many rows are there?
Annie leaves home at 9:15 am to walk to Derek’s house, which takes her 25 minutes. Carl leaves his house 5 minutes after Annie but only takes 6 minutes to get to Derek’s house. When Carl arrives, how long, in minutes, will he and Derek have to wait for Annie to arrive?
At half-time in a soccer match between Newcastle and Melbourne, the score was Newcastle 1, Melbourne 0. Three goals were scored in the second half. Which of the following could not be the result of the match?
I have three rectangular tiles, which are 2 cm by 1 cm, 3 cm by 1 cm and 4 cm by 1 cm. If I put them together so that they do not overlap, but touch along edges, what is the smallest possible perimeter of their combined shape?
Lying Larry decided that from now on he is going to tell the truth on Mondays, Wednesdays and Fridays, but will lie on all the other days. Once, he said ‘Tomorrow I am going to tell the truth.’ On what day did this happen?