# How Many Of Each?

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

##### MenuLevel 1Level 2HelpMore Problem Solving

This is level 2: questions with three or more unknowns You can earn a trophy if you get at least 7 questions correct and you do this activity online.

 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:
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This is How Many Of Each? level 2. You can also try:
Level 1

## 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.

## More Activities:

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 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College:

"Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work"

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!"

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#### Bidmaze

Find your way through the maze encountering mathematical operations in the correct order to achieve the given total. This is an addictive challenge that begins easy but develops into quite a difficult puzzle.

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.

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## 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.

## Teachers

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:

Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes.

It may be worth remembering that if Transum.org should go offline for whatever reason, there is a mirror site at Transum.info that contains most of the resources that are available here on Transum.org.

When planning to use technology in your lesson always have a plan B!

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.

For Students:

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Scan the QR code below to visit the online version of this activity.

https://www.Transum.org/go/?Num=64

## Description of Levels

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Level 1 - Questions with two unknowns

Level 2 - Questions with three or more unknowns

More Problem Solving including lesson Starters, visual aids, investigations and self-marking exercises.

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.

## Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

## 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.

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