The Main Challenge
Carry out these instructions in our 7-step challenge:
- Work out the sum of 4 and 6,
- Calculate the product of 4 and 6,
- Find the difference between the two answers in Points 1 and 2,
- Square the answer to Point 3,
- Subtract 75 from your answer in Point 4,
- Find the square root of your answer in Point 5,
- Multiply your answer in Point 6 by 10.
What is your final answer?
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 product of the smallest and largest numbers on this 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 SIX ways of making 110 when using Lagrange’s Theorem. Can you find them?
The Mathematically Possible Challenge
Using 1, 4 and 9 once each, with + – × ÷ available, which TWO numbers is it possible to make from the list below?
8 16 24 32 40 48 56 64 72 80
#8TimesTable
The Target Challenge
Can you arrive at 110 by inserting 6, 7, 8 and 10 into the gaps on both lines?
- (◯+◯)×◯+◯ = 110
- (◯+◯)×◯+double◯ = 110
Answers can be found here.
Click Paul Godding for details of online maths tuition.
