Know Your Place
Perform some calculations without a calculator which require a knowledge of place value.
This is level 1: add and subtract numbers. You will be awarded a Transum trophy if you get at least 15 of the 18 questions correct and you do this activity online.
Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.
When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.
This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.
Please contact me if you have any suggestions or questions.
Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?
Comment recorded on the 1 February 'Starter of the Day' page by Terry Shaw, Beaulieu Convent School:
"Really good site. Lots of good ideas for starters. Use it most of the time in KS3."
Comment recorded on the 17 June 'Starter of the Day' page by Mr Hall, Light Hall School, Solihull:
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Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.
Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.
If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:
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© Transum Mathematics :: This activity can be found online at:
Level 1 - Add and subtract numbers
Level 2 - Multiply and divide numbers
Level 3 - Find the missing numbers in the calculations
Level 4 - Questions presented in words requiring answers in digits
More on this topic including lesson Starters, visual aids and investigations.
See the National Curriculum page for links to related online activities and resources.
In the decimal number system the value of a digit depends on its position in the number. Each position has a value ten times the position to its right. This is unlike other number systems such as Roman numerals. It is this place value that makes arithmetic easier to perform. Make sure you know the position of the digits that represent thousands, hundreds, tens, units, tenths, hundredths and thousandths at least.
Here is an interactive Place Value Chart to help with you calculations.
60 x 70 = 6 x 10 x 7 x 10 = 42 x 100 = 4200
20000 ÷ 500 = 20 x 1000 ÷ 5 ÷ 100 = 4 x 10 = 40
Or 20000 ÷ 500 = 200 ÷ 5 = 40
Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.