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Poly Plug Pattern
Create a pattern on the small grid. How could you extend your pattern on the larger grid?
The Puzzling Sweet Shop
There were cola bottles for 2p, mini eggs for 3p, marshmallow twists for 5p and lollipops for 7p in the sweet shop. What could each of the children buy with their money?
Always, Sometimes or Never?
Are these statements relating to odd and even numbers always true, sometimes true or never true?
Operating Machines
What functions can you make using the function machines RECIPROCAL and PRODUCT and the operator machines DIFF and INT?
Back Fitter
10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?
Reflected Clock
Beatrix has a 24-hour digital clock on a glass table. How many times in a 24-hour period will the display and its reflection give the same time?
Ones, Twos and Threes
Each digit of a positive integer is 1, 2 or 3, and each of these occurs at least twice. What is the smallest such integer that is not divisible by 2 or 3?
Reflected Back
Imagine reflecting the letter P in all three sides of a triangle in turn. What is the final result?