T he Main Challenge
If you multiply two whole numbers together and then add 4, the result is 40. Which one of the following could NOT be the sum of the two whole numbers you initially multiplied?
12 13 15 18 20 37
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 & 6th rows contain the following fourteen numbers:
5 8 12 17 18 20 28 33 48 49 55 56 63 64
Can you find four different numbers that have a sum of 100?
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 45 when using Lagrange’s Theorem. Can you find them?
The Mathematically Possible Challenge
Using 8, 9 and 10 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?
6 12 18 24 30 36 42 48 54 60
#6TimesTable
The Target Challenge
Can you arrive at 45 by inserting 2, 3, 5 and 6 into the gaps on each line?
- (◯×◯÷◯)×◯ = 45
- ◯²+◯×◯+◯ = 45
- (◯+◯)×◯+◯ = 45
Answers can be found here.
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