DAY 158:

The Main Challenge

Here’s a 10-step number trail involving all four arithmetical operations together with the numbers 1, 2 and 3.

Starting with 10, carry out the following steps:

What is your final answer?

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 1st & 5th rows contain the following fourteen numbers:

2 6 7 9 14 15 16 21 22 40 50 72 81 84

Find two separate pairs of numbers that each have a difference of 44.

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 (4+1+1+1).

Show how you can make 158, in SIX different ways, when using Lagrange’s Theorem.

The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

Using the three digits 3, 5 and 8 once each, with + – × ÷ available, which is the ONLY number it’s possible to make from the list below?

9 18 27 36 45 54 63 72 81 90

#9TimesTable

The Target Challenge

Can you arrive at 158 by inserting 7, 8, 10 and 11 into the gaps below?

Answers can be found here.

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