The Main Challenge
This number trail has seven arithmetical steps.
Start with the number 49, then:
√ add nineteen 50% of this –2 +26 subtract nine ÷7 = ?
What is your final answer?
The 7puzzle Challenge
The playing board of the 7puzzle game is a 7-by-7 grid of 49 different numbers, ranging from 2 up to 84.
The 2nd & 7th rows contain the following fourteen numbers:
4 8 11 17 24 27 28 30 48 55 63 64 70 77
What is the sum of the factors of 24?
The Lagrange Challenge
Lagrange’s Four-Square Theorem states that every 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).
Show how you can make 166, in NINE different ways, when using Lagrange’s Theorem.
The Mathematically Possible Challenge
Using 4, 6 and 10 once each, with + – × ÷ available, which are the only THREE numbers it is possible to make from the list below?
5 10 15 20 25 30 35 40 45 50
#5TimesTable
The Target Challenge
Can you arrive at 166 by inserting 4, 7, 14 and 17 into the gaps on each line?
- (◯×◯)+(◯×◯) = 166
- (◯+◯)²+◯+double◯ = 166
- ◯×(◯+◯)–(◯+50%) = 166
Answers can be found here.
Click Paul Godding for details of online maths tuition.
