The Main Challenge
There are two sections below, both containing ten letters, A-J. Each letter is linked to a division calculation:
- Section 1
D:9÷3 H:8÷2 B:12÷3 I:8÷4 A:4÷2 E:24÷6 G:15÷5 C:20÷4 F:25÷5 J:7÷7
- Section 2
I:6÷2 G:6÷3 D:10÷2 E:12÷4 J:14÷7 B:20÷5 A:18÷6 C:10÷5 F:16÷4 H:15÷3
Which is the only letter to contain 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
How many pairs of numbers from the list have a sum of 88?
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 SIX ways of making 139 when using Lagrange’s Theorem. Can you find them?
The Mathematically Possible Challenge
Using 3, 6 and 10 once each, with + – × ÷ available, which THREE numbers is it possible to make from the list below?
1 3 6 10 15 21 28 36 45 55
#TriangularNumbers
The Target Challenge
Can you arrive at 139 by inserting 3, 7, 9 and 11 into the gaps on each line?
- ◯×(◯+◯)+◯ = 139
- ◯²+◯×◯–◯² = 139
Answers can be found here.
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