How Many Of Each?

Instructions 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.

	You are learning this because future ideas are built on previous ideas and the more ideas you learn the more power you have to learn anything, ever! The world's best football player engages in rigorous training, practicing skills repeatedly to prepare for the big game. While the specific actions rehearsed during these exercises are rarely needed in the match, the very process of performing these drills enhances their overall prowess as a top player. more...	More Activities: Maths Map Go Maths Games Puzzles Times Tables TablesMaster iPad Maths Investigations Exam 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 9 April 'Starter of the Day' page by Jan, South Canterbury: "Thank you for sharing such a great resource. I was about to try and get together a bank of starters but time is always required elsewhere, so thank you." Comment recorded on the 28 May 'Starter of the Day' page by L Smith, Colwyn Bay: "An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!"		Each month a newsletter is published containing details of the new additions to the Transum website and a new puzzle of the month. The newsletter is then duplicated as a podcast which is available on the major delivery networks. You can listen to the podcast while you are commuting, exercising or relaxing. Transum breaking news is available on Twitter @Transum and if that's not enough there is also a Transum Facebook page.
Featured Activity Strategy Games We have collected together lots of strategy games for you to enjoy. Many of them have mathematical principles involved in their design so would make a good activity for a Mathematics lesson.	Answers There are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer. A Transum subscription unlocks the answers to the online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum Topic pages and the facility to add to the collection themselves. Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members. If you would like to enjoy ad-free access to the thousands of Transum resources, receive our monthly newsletter, unlock the printable worksheets and see our Maths Lesson Finishers then sign up for a subscription now: Subscribe
Go Maths 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. Maths Map 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.
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Example

Pens cost 12p each, pencils cost 5p each. Matthew spent 63p altogether. How many of each did he buy?

One possible method for solving this problem is by constructing a table of possibilities.

In this case you could cut down the work required by noticing that the cost of pencils is an odd number while the cost of pens is an even number. In order to achieve an odd total the number of pencils must be odd:

So Matthew bought 4 pens and 3 pencils.

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.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Zoe adopts some animals at the local zoo. The monthly cost of adopting a snake is £5. The cost of adopting a lizard is £6 and the cost of adopting a lamprey fish is £7. If her monthly adoption bill is £34 and she has adopted at least one of each type of animal. 1. How many snakes did she adopt?	Working:
2. How many lizards did she adopt?	Working:
3. How many lampreys did she adopt?	Working:
If apples weigh 180 grams, oranges weigh 140 grams, and bananas weigh 120 grams; how many of each type of fruit were put on the scales if their total weight was 1020 grams and there was at least one of each type of fruit on the scales? 4. The number of apples:	Working:
5. The number of oranges:	Working:
6. The number of bananas:	Working:
Here are the times it takes to perform some transformations on a widget: Rotation: 13 seconds: Reflection: 16 seconds: Enlargement: 17 seconds: Translation: 19 seconds. Six operations (at least one of each type) were performed one after the other. The total time was 100 seconds. 7. How many rotations were performed?	Working:
8. How many reflections were performed?	Working:
9. How many enlargements were performed?	Working:
10. How many translations were performed?	Working:

How Many Of Each?

A self marking quiz asking you to work out how many items were bought from the information given.

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