Welcome to Ian’s Friday Puzzle! Dust off those Friday cobwebs with a little manipulation of the old grey matter. Perplexing puzzles, logical, illogical, and sometimes just plain stupid. Be prepared to be bewildered, befuddled and bedazzled!
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65 = 12 + 82 or 42 + 72
65 can written as the sum of two exact squares in two different ways.
5525 can be written as the sum of two exact squares in six different ways.
√1 × √2 × √3 × √4 × √5 × √6 × √7 × √8 × √9 × √10
No calculator, think pairs!
Jane buys three different bricks for £10.50.
None are free.
1 brick costs 3 times another.
1 brick costs 8 times another.
What is the price of the cheapest brick?
Find two numbers, neither of which has a 0 digit, whose product is 1 000 000 (one million).
I’m thinking of a number.
It is the sum of all the natural numbers from 1 to 1000.
What is the number?
A number is increased by four and the result doubled. This result is squared, which gives a number that is eight more than 68 times the original number.
Find two possible answers!
A cheetah can run as fast as 75 mph in short bursts.
A snail only manages half a mile in 15 hours.
How many times faster can a cheetah move than a snail?
The number 12345 can be expressed as the sum of two prime numbers.
What are the two prime numbers?
I have five whole numbers and they have no mode.
Their median is 6 and mean is 5. Their range is 9.
What are the five numbers?
(There may be more than one answer!)
In my fully limbed collection of 186 spiders and ladybirds I count 1300 legs.
How many spiders do I have? How many ladybirds do I have?