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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Five different whole numbers have a median and mean of 6 and a range of 8. Three of the numbers are prime.
What are the five numbers?
I have between 300 and 400 seeds to plant.
If I plant them in in rows of 24 there are 17 seeds left over.
If I plant them in rows of 15 there are 2 seeds left over.
What length of rows could I plant the seeds so there are none left over?
In the World Cup, a cricketer’s average after the first 5 innings was 23.2 runs.
After a further 4 innings his average increased to 42 runs.
What was his average for the last 4 innings?
Farmer Paul has a grassy field. It can feed one cow for 5 days or one goat for 20 days.
If Farmer Paul puts one cow and one goat in the field, how long would the grass last?
(The grass won’t grow back!)
Lynne multiplies all the natural numbers from 1 to 99 together.
1 × 2 × 3 × ............ × 97 × 98 × 99
How many zeros will be at the end of the answer?
At the start of a test I saw that the length of the test in minutes was 5 times the number of questions on the test.
45 minutes later I had answered 11 questions, and saw that the number of minutes remaining was now 6 times the number of questions remaining.
How long was the test?
135 = 11 + 32 + 53
135 has the special property that it is equal to the sum of the first digit to the power 1, the second digit to the power 2 and the third digit to the power 3.
There are another three 3-digit numbers that have this property. Find one of them.
A gardener makes a fish pond which has 12 equal sides and all the sides are at right angles to each other.
The perimeter of the pond (in m) is equal to the area of the pond.
What is the area of the pond?
A newspaper is made of 8 large sheets of paper folded in half.
The newspaper has 32 pages altogether.
The first sheet contains pages 1, 2, 31 and 32.
I pick up a sheet containing page 25.
What is the total of the page numbers on this sheet?
Squares with side lengths 3 cm and 2 cm overlap as shown.
What is the difference between the areas of the two yellow shaded parts of each square?