The Main Challenge
What is the sum of the first SEVEN 2-digit even numbers?
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 of the playing board contain the following fourteen numbers:
3 10 13 25 32 35 36 42 44 45 54 60 66 80
Which statement is true?
- There are more multiples of 9 than multiples of 10 on the list
- There are equal numbers of multiples of 9 and multiples of 10 on the list
- There are less multiples of 9 than multiples of 10 on the list
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 TEN different ways to make 217 when using Lagrange’s Theorem. How many can you find?
The Mathematically Possible Challenge
Using 4, 6 and 9 once each, with + – × ÷ available, which are the FOUR numbers it is possible to make from the list below?
10 20 30 40 50 60 70 80 90 100
#10TimesTable
The Target Challenge
Can you arrive at 217 by inserting 3, 7, 11 and 14 into the gaps on each line?
- ◯×◯×◯–◯ = 217
- ◯×◯+◯²×◯ = 217
- ◯×(◯+◯+1)+◯ = 217
- ◯×(◯+◯–1)–◯ = 217
Answers can be found here.
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