T he Main Challenge
Read the information below to find each of these three different numbers:
- A is the only 2-digit square number that does not contain any odd digits
- B is the only 2-digit prime number with both its digits the same
- C is the only 2-digit cube number less than 50
Calculate the sum of A, B and C.
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 4th & 6th rows contain the following fourteen numbers:
3 5 10 12 18 20 32 33 35 44 49 54 56 60
Which two numbers, when each is tripled, are also on the 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 THREE ways of making 60 when using Lagrange’s Theorem. Can you find them?
The Mathematically Possible Challenge
Using 1, 6 and 7 once each, with + – × ÷ available, which FOUR numbers is it possible to make from the list below?
7 14 21 28 35 42 49 56 63 70
#7TimesTable
The Target Challenge
Can you arrive at 60 by inserting 2, 3, 4 and 7 into the gaps on each line?
- (◯+◯)×(◯+◯) = 60
- (◯–◯)×◯×◯ = 60
- ◯²+◯²+◯–◯ = 60
- ◯²×◯²+◯–◯ = 60
Answers can be found here.
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