Begin by pressing the 'Demonstration' button to see how the counting to and fro (back and forth) method works. Then answer the questions above by selecting the correct response from the drop-down lists.
If you get a question correct on your first attempt you will be awaded 4 marks.
If you get a question correct on your second attempt you will be awaded 3 marks.
If you get a question correct on your third attempt you will be awaded 2 marks.
If you get a question correct on your fourth attempt you will be awaded 1 mark.
You need to score at least 17 out of 20 to be awarded a virtual trophy for this level.
[The list of ships in the answer drop-down boxes are in the same order as in the picture from left to right.]
Most people will be able to do level 1 by counting or making a table. Levels 2 and 3 get harder and you are encouraged to look for patterns instead of spending all your time counting. Level 4 is for older students and rocket scientists. You will need to work out a way of calculating the answer or be an advanced technoloy user. Level 4 will be out of reach for most people - you have been warned!
The solutions to this and other Transum puzzles, exercises and activities are available here when you are signed in to your Transum subscription account. If you do not yet have an account and you are a teacher, tutor or parent you can apply for one by completing the form on the Sign Up page.
A Transum subscription also gives you access to the 'Class Admin' student management system, downloadable worksheets, many more teaching resources and opens up ad-free access to the Transum website for you and your pupils.
"To and fro" and "back and forth" both describe moving between two places over and over again. "To and fro" is very old, going back to the 14th century, and uses an old word "fro," which means "away." "Back and forth" appeared more recently and often sounds clearer in modern speech. While both phrases can mean the same thing, "to and fro" can feel more old-fashioned or whimsical. "Back and forth" is common in everyday language because it is straightforward. However, both phrases describe the same idea of moving one way, then the other.
Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.
Close
❎Level 1 - A row of five houses, counting up to 21
Level 2 - A fleet of six ships, counting up to 40
Level 3 - Seven cute kittens wearing hats, counting up to 100
Level 4 - Eight aliens with strange names counting up to 99999
More puzzles all with a mathematical or logic theme.