Puzzles

Easy

Word Search

Medium

- Lucy starts a new diet on Monday. If she eats two bananas every Monday (including the first day), then five on every day with a T in it, but none on the other days, on which day of the week will she eat her 100th banana?

- Help Fox turn Tiger’s Nuclear Reactor switches all off from the position below, when changing one switch also changes the switches either side. For example, starting with On On Off, you can turn the left one to make it Off Off Off. Once you’ve managed the puzzle below, see if you can do it in only 3 moves. Which 3 switches do you have to change?

- Rearrange the months of the year in order of letter value, from lowest to highest, where letters in the word “TIGER” are worth 5 points, and other letters are worth 3 points. Eg Hello = 3+5+3+3+3 = 17 Hint- two months have the same score.

- Archie is coding his alarm clock, which is a 24-hour clock with no seconds. He notices the time is 12:21, the same forwards and backwards. How many times will this happen in a day?

Hard

Archie has forgotten his iPad password, but thankfully he wrote himself a hint. Can you help him find the correct password?

  • It is 4 digits long
  • Every digit is a prime number
  • No digits appear twice
  • The password is smaller forwards than backwards (e.g. 1234 is smaller than 4321)
  • The first two digits multiplied by two are one more than the third and fourth digits together (e.g. in 1223 we’re looking for 12 x 2 being one more than 23)

Puzzles Answers

Easy

Word Search

Medium

- Lucy’s Bananas: She eats her 100th banana on the Saturday of the 6th week of her diet

- Reactor: Change the First, Third, and Sixth switches in any order, as shown in the diagram.

- Months- May has the lowest, scoring 9, then July (12), June (14), March (17), April (19), August (22), January (23), October (27), February (30) equal to November (30), December (32), and September (37)

- Alarm clock: 16 times a day: 00:00, 01:10, 02:20, 03:30, 04:40, 05:50, 10:10, 11:11, 12:21, 13:31, 14:41, 15:51, 20:02, 21:12, 22:22, 23:32

Hard

- Archie’s password: The code is 2753

- all digits are prime numbers and no digits are repeated. 27 x 2 = 54 (one more than 53), and the code is smaller forwards than backwards