T he Main Challenge
The two sections below both contain eight letters, A-H. Each letter has an addition calculation attached, all involving 2-digit numbers.
Which is the only letter that has exactly the same answer in both sections?
- Section 1
D:68+18 B:51+14 E:47+31 H:62+32 A:44+29 G:59+25 C:36+23 F:38+26
- Section 2
E:64+28 A:31+27 F:34+22 B:43+19 G:48+36 C:54+16 D:48+21 H:50+38
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
Which three different numbers have a total which is also present on the list?
The Lagrange Challenge
Lagrange’s Four-Square Theorem states that every 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).
Show how you can make 168, in FOUR different ways, when using Lagrange’s Theorem.
The Mathematically Possible Challenge
Using 4, 6 and 10 once each, with + – × ÷ available, which are the only TWO numbers it is 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 168 by inserting 2, 4, 6 and 9 into the gaps on each line?
- (◯–◯)×◯×◯ = 168
- ◯³×√◯–◯²×◯ = 168
Answers can be found here.
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