Transum Software

Simultaneous Shopping

Find the cost of the individual items in these shopping baskets given the basket totals.

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This is level 5. The total cost of each basket is calculated as the sum of the costs of the items minus the sum of the value of the coupons. You will be awarded a trophy if you get at least 9 correct and you do this activity online.

Coupons should be typed in as positive numbers (click for more)

If you do a search for discount coupons online you will see that all of the numbers on the coupons are positive numbers. The negative sign is implied by the word discount or off. So when you solve the following problems you may get a negative number but it is the positive value that you need to type in below.

1

🥁

🥁

Coupon

21p

🥁

🥁

🥁

🥁

44p

🥁=p Correct Wrong

Coupon=p Correct Wrong

2

🌹

🌹

Coupon

Coupon

16p

🌹

🌹

🌹

🌹

🌹

Coupon

£2.04

🌹=p Correct Wrong

Coupon=p Correct Wrong

3

🥨

🥨

🥨

🥨

🥨

🥨

Coupon

Coupon

Coupon

£1.20

🥨

🥨

🥨

🥨

🥨

🥨

Coupon

Coupon

£1.50

🥨=p Correct Wrong

Coupon=p Correct Wrong

4

🥝

🥝

🥝

🥝

🥝

🥝

🥝

🥝

Coupon

£3.55

🥝

🥝

🥝

🥝

🥝

Coupon

Coupon

Coupon

Coupon

70p

🥝=p Correct Wrong

Coupon=p Correct Wrong

5

🍍

🍍

🍍

🍍

🍍

Coupon

Coupon

Coupon

£1.75

🍍

🍍

🍍

🍍

🍍

🍍

🍍

Coupon

Coupon

Coupon

£3.35

🍍=p Correct Wrong

Coupon=p Correct Wrong

6

🍋

🍋

🍋

🍋

🍋

Coupon

Coupon

Coupon

£1.30

🍋

🍋

🍋

🍋

🍋

🍋

Coupon

Coupon

£2.44

🍋=p Correct Wrong

Coupon=p Correct Wrong

Check

This is Simultaneous Shopping level 5. You can also try:
Level 1 Level 2 Level 3 Level 4

Globe of Flags

This activity is suitable for students of mathematics all around the world. Use the button below to change the currency symbol used to make it more relevant to your students. You may wish to choose an unfamiliar currency to extend your students' experience.

Globe of Flags

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.

Why am I learning this?

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?

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"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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A fascinating digit changing challenge. Change the numbers on the apples so that the number on the lemon is the given total. Can you figure out, by understanding place value, how this works?

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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.

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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.

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

This is a QR Code

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Description of Levels

The cost of each item can be represented as a letter. Use the total cost of each basket to form two equations.

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Level 1 - Equations produced can be subtracted to eliminate one varable.

Level 2 - Equations produced can be subtracted, after one has been multiplied, to eliminate one varable.

Level 3 - Equations produced can be subtracted, after both have been multiplied, to eliminate one varable.

Level 4 - Mixed questions, randomly generated with larger numbers.

Level 5 - Shopping baskets containing items and coupons producing equations with some negative coefficients.

The situations in this set of exercises can be expressed as simultaneous equations. For more varied pairs of simultaneous equations try the following exercise:

Simultaneous Equations - A more traditional set of exercises using letters instead of pictures.

Exam Style Questions - A collection of problems in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).

More on this topic 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.

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Curriculum Reference

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

Help

The cost of each item can be represented as a letter. Use the total cost of each basket to form two sumultaneous equations. The video explains how simultaneous equations can be solved.

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.

Log in Sign up

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