How Many Of Each?

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

This is level 1: questions with two unknowns You can earn a trophy if you get at least 7 questions correct and you do this activity online.

 Pens cost 12p each, pencils cost 5p each. Colin spent 68p altogether.1. How many pens did he buy? Working: 2. How many pencils did he buy? Working: Audrey also spent 68p but she bought wax crayons and felt pens. Wax crayons cost 5p each and felt pens cost 16p each.3. How many felt pens did she buy? Working: 4. How many wax crayons did she buy? Working: Dishes cost £1.02 each. Plates cost £1.51 each. Brooklyn spent £6.57 on dishes and plates.5. How many plates did she buy? Working: 6. How many dishes did she buy? Working: At a different shop dishes cost £1.18 and plates cost £1.21. Michelle spent £7.14 on dishes and plates.7. How many dishes did Michelle buy? Working: 8. How many plates did she buy? Working: You might want to use a spreadsheet to help you with this question.Sandwiches cost £1.46 each. Drinks cost £1.36 each. Iqbal spent £45.02 on sandwiches and drinks.9. How many sandwiches did he buy? Working: 10. How many drinks did he buy? Working:
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This is How Many Of Each? level 1. You can also try:
Level 2

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.

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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 21 October 'Starter of the Day' page by Mr Trainor And His P7 Class(All Girls), Mercy Primary School, Belfast:

"My Primary 7 class in Mercy Primary school, Belfast, look forward to your mental maths starters every morning. The variety of material is interesting and exciting and always engages the teacher and pupils. Keep them coming please."

Comment recorded on the 19 October 'Starter of the Day' page by E Pollard, Huddersfield:

"I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information."

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Can you draw these diagrams without lifting your pencil from the paper? This is an interactive version of the traditional puzzle. Some diagrams are possible while others are not. What is the rule?

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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.

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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:

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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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