T he Main Challenge
Study the seven clues below and place the numbers 1-9 into the nine positions. Each number should appear exactly once in this grid.
x x x
x x x
x x x
Clues:
- The 1 is directly left of the 9,
- The 9 is directly above the 6,
- The 6 is further right than the 4,
- The 4 is directly right of the 8,
- The 8 is directly above the 2,
- The 2 directly left of the 5,
- The 5 is not next to the 7.
The 7puzzle Challenge
The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.
The 1st & 3rd rows contain the following fourteen numbers:
2 9 13 14 15 22 25 36 40 42 45 66 72 80
What is the difference between the highest and lowest numbers?
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 is only ONE way of making 96 when using Lagrange’s Theorem. Can you find it?
The Mathematically Possible Challenge
Using 5, 7 and 10 once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?
9 18 27 36 45 54 63 72 81 90
#9TimesTable
The Target Challenge
Can you arrive at 96 by inserting 2, 3, 5 and 6 into the gaps on each line?
- (◯+◯)×◯×◯ = 96
- (◯×◯+◯)×◯ = 96
- ◯³+◯²+◯–◯² = 96
- (◯+◯)²–(◯+◯)² = 96
- (◯+◯)²+◯²–◯² = 96
Answers can be found here.
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