T he Main Challenge
Here is a unique 7-part question. Answer all seven parts:
- (4 + 3) + (2 – 1) = ?
- (4 × 3) ÷ (1 × 1) = ?
- (4 – 3) × (2 ÷ 1) = ?
- (3 + 3) ÷ (2 × 1) = ?
- (3 ÷ 3) – (1 + 1) = ?
- (3 – 3) × (1 ÷ 1) = ?
- (3 × 3) – (2 + 1) = ?
What is the sum of all seven answers?
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 3rd & 4th rows contain the following fourteen numbers:
3 10 13 25 32 35 36 42 44 45 54 60 66 80
What is the difference between the two multiples of 8?
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).
There are FIVE ways of making 113 when using Lagrange’s Theorem. Can you find them?
The Mathematically Possible Challenge
Using 1, 4 and 9 once each, with + – × ÷ available, which FOUR numbers is it possible to make from the list below?
2 3 5 7 11 13 17 19 23 29
#PrimeNumbers
The Target Challenge
Can you arrive at 113 by inserting 7, 10, 12 and 14 into the gaps on both lines?
- ◯×◯+◯–◯ = 113
- ◯²–(◯+◯+◯) = 113
Answers can be found here.
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