10ticks Friday Puzzle

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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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This week's Friday Puzzle

alfa

Replace letters with digits so the sum is true.

There are quite a few solutions.

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Friday Puzzle (13/09/2019)

What is the smallest prime number that will divide exactly into

3333 + 7777 ?

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Friday Puzzle (06/09/2019)

How many whole numbers between (and including) 1 and 300 are NOT divisible by 3 nor by 5?

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Friday Puzzle (26/07/2019)

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?

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Friday Puzzle (19/07/2019)

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?

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Friday Puzzle (12/07/2019)

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?

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Friday Puzzle (05/07/2019)

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!)

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Friday Puzzle (28/06/2019)

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?

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Friday Puzzle (21/06/2019)

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?

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Friday Puzzle (14/06/2019)

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.

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