The Main Challenge
You have rolled the numbers 1, 2 and 4 with three dice.
This is a truly unique combination, being the only one where you can make ALL ten target numbers from 1-10, using + – × ÷ as seen below.
Can you place 1, 2 and 4 into the three gaps on each line so all ten calculations work out?
- ◯–(◯+◯) = 1
- ◯×◯–◯ = 2
- ◯÷◯+◯ = 3
- ◯×(◯–◯) = 4
- ◯+◯–◯ = 5
- ◯×◯+◯ = 6
- ◯×◯–◯ = 7
- ◯×◯×◯ = 8
- ◯×◯+◯ = 9
- ◯×(◯+◯) = 10
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 & 2nd rows contain the following fourteen numbers:
2 8 9 14 15 17 22 28 40 48 55 63 64 72
What is the sum of all the multiples of 5?
The Roll3Dice Challenge
In six of the seven groups below, it is possible to make today’s target number of 1 when each number in the group is used once, with + – × ÷ available:
- 1 1 1
- 1 2 5
- 1 6 6
- 2 2 5
- 2 3 6
- 3 3 5
- 3 4 6
But, which is the only group that CANNOT make 1?
The Mathematically Possible Challenge
Using 4, 5 and 10 once each, with + – × ÷ available, which THREE numbers is it possible to make from the list below?
3 6 9 12 15 18 21 24 27 30
#3TimesTable
The Target Challenge
Can you arrive at 1 by inserting 2, 4, 6 and 8 into the four gaps on each line?
- (◯+◯)÷(◯+◯) = 1
- (◯×◯)÷(◯+◯) = 1
- (◯–◯)–(◯÷◯) = 1
- (◯+◯–◯)÷◯ = 1
- ◯²÷(◯+◯+◯) = 1
Answers can be found here.
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