T he Main Challenge
You must arrive at the target number of 24 by using four unique numbers from 10-19 and with + – × ÷ available to use; one such example being (15×12÷18)+14 = 24.
Can you derive another 4-number combination to make 24?
The 7puzzle Challenge
The playing board of the 7puzzle game is a 7-by-7 grid of 49 different numbers, ranging from 2 up to 84.
The 2nd & 7th rows contain the following fourteen numbers:
4 8 11 17 24 27 28 30 48 55 63 64 70 77
How many cube numbers are present?
The Lagrange Challenge
Lagrange’s Four-Square Theorem states that every positive integer can be made by adding up to four square numbers.
For example, 7 can be made by 2²+1²+1²+1² (or 4+1+1+1).
There are FOUR ways of making 65 when using Lagrange’s Theorem. Can you find them?
The Mathematically Possible Challenge
Using 1, 6 and 7 once each, with + – × ÷ available, which FIVE numbers is it possible to make from the list below?
40 41 42 43 44 45 46 47 48 49
#NumbersIn40s
The Target Challenge
Can you arrive at 65 by inserting 1, 5, 6 and 8 into the gaps on each line?
- (◯+◯–◯)×◯ = 65
- ◯×◯+(◯–◯)² = 65
- ◯²+(◯+◯)÷◯ = 65
- ◯²+◯–◯×◯ = 65
Answers can be found here.
Click Paul Godding for details of online maths tuition.
