The Main Challenge
The seven musical letters, A-G, in the three sections below each contain an addition calculation. Only one letter has the same answer in all three sections, which one?
Visit FlagMath.com for details of our card game involving similar numerical challenges.
- Section 1
E: 11+6 G: 7+7 C: 10+4 A: 13+6 B: 9+4 F: 8+8 D: 9+3
- Section 2
A: 11+5 C: 13+5 F: 9+6 E: 15+3 D: 6+6 B: 8+5 G: 7+6
- Section 3
C: 11+3 B: 11+2 D: 7+4 G: 14+1 F: 12+3 E: 14+3 A: 15+4
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 1st & 4th rows of the playing board contain the following fourteen numbers:
2 3 9 10 14 15 22 32 35 40 44 54 60 72
Which two separate numbers, when 9 is added to them, both become square numbers?
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).
How many different ways can you find to make 246 when using Lagrange’s Theorem?
The Mathematically Possible Challenge
Based on our best-selling arithmetic board game.
Using 2, 5 and 10 once each, with + – × ÷ available, which FOUR numbers is it possible to make from the list below?
1 4 9 16 25 36 49 64 81 100
#SquareNumbers
The Target Challenge
Can you arrive at 246 by inserting 3, 4, 5, 6 and 7 into the gaps below?
- (◯×◯+◯×◯)×◯ = 246
Answers can be found here.
Click Paul Godding for details of online maths tuition.
