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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A wooden box measures 2 m by 3 m by 4 m and weighs 10 kg when empty.
What can you put in the box so that it weighs 8 kg?
Beth bought a bag of sweets on Monday, and ate a quarter of them.
On Tuesday she ate a third of the remaining sweets.
On Wednesday she ate half of the remaining sweets.
On Thursday she ate five of the sweets.
On Friday she noticed that she only had three sweets left.
How many sweets were originally in the bag?
A car travels at 60 km per hour over a certain distance, and then returns over the same distance at a speed of 40 km/h.
What is the average speed for the trip?
A 40 kg brittle metal weight was used to weigh things on a balance scale. The weight was dropped and it broke into four pieces.
Using combinations of the four pieces all the whole number weights from 1 kg to 40 kg can be weighed on the balance scale.
What is the weight of the largest piece?
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?