The Main Challenge
Read the following five clues:
- I am a 2-digit number,
- My 1st digit is bigger than my 2nd digit,
- I am less than 50,
- I am an odd number,
- I am not a prime number.
Which number am I?
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 1st & 5th rows contain the following fourteen numbers:
2 6 7 9 14 15 16 21 22 40 50 72 81 84
Which of the multiples of 10 listed above has more factors?
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 (4+1+1+1).
Show how you can make 160, in TWO different ways, when using Lagrange’s Theorem.
The Mathematically Possible Challenge
Using the three digits 3, 5 and 8 once each, with + – × ÷ available, which is the ONLY number it’s possible to make from the list below?
11 22 33 44 55 66 77 88 99 110
#11TimesTable
The Target Challenge
Can you arrive at 160 by inserting 5, 8, 10 and 12 into the gaps on each line?
- ◯×◯+◯×◯ = 160
- ◯²+◯×◯÷◯ = 160
- ◯×◯×(◯–◯)² = 160
Answers can be found here.
Click Paul Godding for details of online maths tuition.
