The 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 2nd & 7th rows contain the following fourteen numbers:
4 8 11 17 24 27 28 30 48 55 63 64 70 77
What is the sum of the even numbers listed?
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 61 when using Lagrange’s Theorem. Can you find them?
The Mathematically Possible Challenge
Using 1, 6 and 7 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?
8 16 24 32 40 48 56 64 72 80
#8TimesTable
The Target Challenge
Can you arrive at 61 by inserting 3, 5, 8 and 10 into the gaps on each line?
- ◯×◯+◯+◯ = 61
- (◯–◯)×◯+◯ = 61
- (◯+◯)×◯+double◯ = 61
- (◯+◯)×◯–half◯ = 61
Answers can be found here.
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