problem
Power countdown
Age
14 to 16
Challenge level
In this twist on the well-known Countdown numbers game, use your knowledge of Powers and Roots to make a target.
problem
Vector journeys
Age
14 to 18
Challenge level
Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?
problem
Factorising with multilink
Age
14 to 16
Challenge level
Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?
problem
How old am I?
Age
14 to 16
Challenge level
In 15 years' time my age will be the square of my age 15 years ago. Can you work out my age, and when I had other special birthdays?
problem
Beelines
Age
14 to 16
Challenge level
Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?
problem
Matchless
Age
14 to 16
Challenge level
There is a particular value of x, and a value of y to go with it, which make all five expressions equal in value, can you find that x, y pair ?
problem
The legacy
Age
14 to 16
Challenge level
Your school has been left a million pounds in the will of an ex-
pupil. What model of investment and spending would you use in order
to ensure the best return on the money?
problem
Partly painted cube
Age
14 to 16
Challenge level
Jo made a cube from some smaller cubes, painted some of the faces of the large cube, and then took it apart again. 45 small cubes had no paint on them at all. How many small cubes did Jo use?
problem
Training schedule
Age
14 to 16
Challenge level
The heptathlon is an athletics competition consisting of 7 events. Can you make sense of the scoring system in order to advise a heptathlete on the best way to reach her target?
problem
Difference of two squares
Age
14 to 16
Challenge level
What is special about the difference between squares of numbers adjacent to multiples of three?
problem
Square number surprises
Age
14 to 16
Challenge level
There are unexpected discoveries to be made about square numbers...
problem
Triangle midpoints
Age
14 to 16
Challenge level
You are only given the three midpoints of the sides of a triangle. How can you construct the original triangle?
problem
Two ladders
Age
14 to 16
Challenge level
Two ladders are propped up against facing walls. At what height do the ladders cross?
problem
Where to land
Age
14 to 16
Challenge level
Chris is enjoying a swim but needs to get back for lunch. How far along the bank should she land?
problem
Napkin
Age
14 to 16
Challenge level
A napkin is folded so that a corner coincides with the midpoint of an opposite edge. Investigate the three triangles formed.
problem
Dating made easier
Age
14 to 16
Challenge level
If a sum invested gains 10% each year how long before it has
doubled its value?