T he Main Challenge
How quickly can you correctly answer the following seven questions?
- (17 – 4) + (12 – 9) = ?
- (3 – 2) – (16 – 16) = ?
- What is two-thirds plus three-quarters?
- 109 + 10 = ?
- (3 + 16) + (16 + 9) = ?
- (11 – 5) + (4 + 1) = ?
- What is the perimeter of a 13cm by 13cm square?
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 2nd & 5th rows contain the following fourteen numbers:
6 7 8 16 17 21 28 48 50 55 63 64 81 84
Which two numbers in the list are cube 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).
There are SIX ways of making 105 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?
3 6 9 12 15 18 21 24 27 30
#3TimesTable
The Target Challenge
Can you arrive at 105 by inserting 5, 5, 6 and 10 into the gaps on both lines?
- ◯×(◯+◯)–◯ = 105
- ◯²+◯–◯÷◯ = 105
Answers can be found here.
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