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Mind Reading

Think of a number, add one, double it, take away 3, add the number you first thought of, add 7, divide by 3 and take away the number you first thought of. You should now be left with 2. How do I know?

How Many Miles to Go?

How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?

Summing Consecutive Numbers

15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?

Good Work If You Can Get It

Age 11 to 14 Challenge Level:

A job needs three men to work for two weeks ($10$ working days).

Andy works for all $10$ days.
Bert works for the first week and Clive works for the second week.
Dave works for $6$ days, but then is too sick to work.
Eddy takes his place for $3$ days, then Fred does the last day.

money

When the job is finished they are all paid the same amount. At first they could not work out how much each man should have, but then Fred says:

"If I give my wages to Andy, and Eddy gives £$100$ to both Dave and me, then the wages will be correct".

How much was paid for the whole job, and how much does each man get?