1 out of 3
The challenge is to find the values of the variables if you are to solve this Sudoku.
2 out of 3
Two cubes have a combined volume equal to the total of the lengths of their edges. How big are the cubes?
2 out of 3
What fractions can you find between the square roots of 65 and 67?
2 out of 3
Kyle and his teacher disagree about his test score - who is right?
2 out of 3
Three fences of different lengths form three sides of an enclosure. What arrangement maximises the area?
2 out of 3
Powers of numbers might look large, but which of these is the largest...
1 out of 3
Which rational numbers cannot be written in the form x + 1/(y + 1/z) where x, y and z are integers?
2 out of 3
Take a few whole numbers away from a triangle number. If you know the mean of the remaining numbers can you find the triangle number and which numbers were removed?
1 out of 3
The familiar Pythagorean 3-4-5 triple gives one solution to (x-1)^n + x^n = (x+1)^n so what about other solutions for x an integer and n= 2, 3, 4 or 5?
