# DAY 293: The Main Challenge

Here is a FlagMath-style puzzle derived from our series of card games.

Each of the eleven letters, A-K, in the two sections below contains a percentage calculation. Which is the only letter to have the SAME answer in BOTH sections?

• Section 1

F: 40% of 60    A: 25% of 20    G: 50% of 30    B: 60% of 35    D: 20% of 40    J: 30% of 5   K: 16% of 50    C: 70% of 30    H: 15% of 60    E: 10% of 100    I: 5% of 80

• Section 2

H: 1% of 500    D: 80% of 10    K: 2% of 200    G: 30% of 80    J: 20% of 50    F: 10% of 40   C: 25% of 60    I: 70% of 20    A: 15% of 200    E: 5% of 140    B: 8% of 300 The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid of 49 different numbers, ranging from up to 84.

The 2nd & 3rd rows contain the following fourteen numbers:

8   13   17   25   28   36   42   45   48   55   63   64   66   80

When finding the highest multiple of 7 on the list, what is double this number? The Factors Challenge

Which of the following numbers are factors of 293?

3     5     7     9     11     13     None of them The Mathematically Possible Challenge

Using 810 and 12 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

2    3    5    7    11    13    17    19    23    29 The Target Challenge

Can you arrive at 293 in two different ways when inserting 4, 9, 16, 25 and 36 into the gaps below?

•  ◯²+◯+√◯+√(◯×◯) = 293 Answers can be found here. Click Paul Godding for details of online maths tuition. This entry was posted in 7puzzleblog.com. Bookmark the permalink.

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