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:
x x x
x x x
x x x
Clues:
- The 8 is directly right of the 9,
- The 9 is directly above the 6,
- The 6 is directly right of the 4,
- The 4 is higher than the 1,
- The 1 is further right of the 3,
- The 3 is lower than the 7,
- The 7 is directly above the 5.
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 2nd & 5th rows of the playing board contain the following fourteen numbers:
6 7 8 16 17 21 28 48 50 55 63 64 81 84
What is the biggest difference between two consecutive numbers on the above list?
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 NINE different ways to make 206 when using Lagrange’s Theorem. How many can you find?
The Mathematically Possible Challenge
Using 5, 7 and 11 once each, with + – × ÷ available, which is the ONLY number that is possible to make from the list below?
11 22 33 44 55 66 77 88 99 110
#11TimesTable
The Target Challenge
Can you arrive at 206 by inserting 10, 12, 14 and 18 into the gaps on each line?
- ◯×◯+◯+◯ = 206
- ◯×◯+◯+double◯ = 206
Answers can be found here.
Click Paul Godding for details of online maths tuition.
