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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48, 16, 20, 15, 72, 24, 90, 10, 30, 36, 8, 45
are grouped in pairs so that the product of each pair is the same.
What number is paired with 10?
4! - said four factorial, means 4 × 3 × 2 × 1.
Without working out the value, how many zeros will there be at the end of 25! (twenty five factorial) ?
a + b + c + d = 20
a − b + c + d = 4
a + b − c + d = 16
a + b + c − d = 12
Find the values of a, b, c and d.
I have 77 socks in a drawer.
I have 18 identical yellow socks, 34 identical black socks and 25 identical green socks in the drawer.
It’s night, the lights have gone out and I can’t see.
What is the minimum number of socks I must take out to be certain to have a pair of each colour?
What is the largest 3-digit number that is a multiple of 6, that has the digits 6 and 5 in it?
A box has a top area of 480 cm2, a side area of 240 cm2 and a front area of 512 cm2.
What is the volume of the box?
Year 8 has fewer than 100 students.
The students line up outside the assembly hall.
When they line up in 3s, two students are left over.
When they line up in 4s, three students are left over.
When they line up in 5s, four students are left over.
When they line up in 6s, five students are left over.
How many students are left over when they line up in 7s?
In a knockout tournament there are 32 teams, how many matches are played to find a winner?
If there were 28 teams, (some would get a bye in the first round), how many games would be needed?
Find a general rule.
The sum of three consecutive numbers are 147.
What are the numbers?
Can you find three consecutive numbers that add to 200?
What is the four digit number, with no zeros, in which
the second digit is four more than the first and three times the third,
the third is two more than the last and two less than the first
and the first digit is five times the last?