Five Problems

1
Five Problems

• 1)I am 48 years, 48 weeks, 48 days and 48 hours
  old. How old am I?
• 2)Using any combination of ?, ?, , - and all of
  the numbers 2, 5, 7 and 9 once only, make the
  number 36. How many solutions can you find?
• 3)Thirty equally spaced points on the
  circumference of a circle are labelled in order
  with the numbers 1 to 30. Which number is
  diametrically opposite to 7?
• 4)Using each of the digits 1, 3, 4 and 8 once and
  only once it is possible to make 24 four digit
  numbers. Find the two numbers that are divisible
  by 4 and not divisible by 8 and 16.
• 5)Which fruit is one third of a cherry and two
  fifths of an apple?

2
Five More Problems!

• 1)On a train there was 1 first class carriage, 1
  buffet carriage and 4 second class carriages. In
  how many different ways can they be arranged if
  the second class carriages must be next to each
  other?
•  
• 2)In a rectangular dance hall, how do you place
  ten chairs along the walls so that there are
  equal numbers of chairs along each wall.
•  
• 3)Three different numbers written on cards are
  placed side by side. The first and second cards
  add up to 15. The second and third cards add up
  to 17. No card is a 7. No card is higher than 9.
  Write down the three numbers in order.
•  
• 4)Ahmed said that Delia did it, Delia said that
  Bruce did it, Bruce said that Claire did it,
  Claire said that she didnt do it and Eric
  confessed that he did do it. If Ahmed didnt do
  it, one of the 5 did do it and if only one of
  them is telling the truth, who did it?
•  
• 5)If I save 1p today, 2p tomorrow, 4p the next
  day and so on, doubling each day. How much will I
  have at the end of two weeks?

3
Area Problem

• The diagram shows a shaded square inside a larger
  square.
•  
• Calculate the area of the shaded square.

4
What was the question

• if 13 was the answer?