The Main Challenge
The two sections below both contain ten letters, A-J; each of which has a multiplication calculation assigned to it:
- Section 1
C:10×2 J:4×3 F:8×5 D:3×3 I:3×2 G:7×4 B:5×4 H:9×4 E:10×3 A:6×4
- Section 2
B:12×2 D:6×1 G:8×3 J:5×2 E:6×5 I:6×6 H:8×6 A:9×2 F:7×2 C:6×3
Which is the only letter that contains the same answer in both sections?
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 5th & 7th rows contain the following fourteen numbers:
4 6 7 11 16 21 24 27 30 50 70 77 81 84
Find three different numbers that have a sum of 77?
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 TEN ways of making 138 when using Lagrange’s Theorem. Can you find them all?
The Mathematically Possible Challenge
Using 3, 6 and 10 once each, with + – × ÷ available, which FOUR numbers is it possible to make from the list below?
2 3 5 7 11 13 17 19 23 29
#PrimeNumbers
The Target Challenge
Can you arrive at 138 by inserting 2, 6, 10 and 15 into the gaps on each line?
- ◯×◯–◯×◯ = 138
- (◯+◯–◯)×◯ = 138
- ◯²+double◯+◯+◯ = 138
Answers can be found here.
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