Transum Software

Superfluous

Find a strategy to figure out the values of the letters used in these calculations.

Level 1 Level 2 Level 3 Level 4 Level 5 Description Help More Algebra

This is level 1: calculations involving two letters where one is a multiple of the other. You can earn a trophy if you get at least 9 questions correct and you do this activity online.

G + H = 12

If H is twice as big as G:

Calculate the value of the number G

G= Correct Wrong

Calculate the value of the number H

H= Correct Wrong

J + K = 90

If K is twice as big as J:

Calculate the value of the number J

J= Correct Wrong

Calculate the value of the number K

K= Correct Wrong

L + M = 540

If L is twice as big as M:

Calculate the value of the number L

L= Correct Wrong

Calculate the value of the number M

M= Correct Wrong

N + P = 1000

If N is three times as big as P:

Calculate the value of the number N

N= Correct Wrong

Calculate the value of the number P

P= Correct Wrong

Q + R = 600

If R is three times as big as Q:

Calculate the value of the number Q

Q= Correct Wrong

Calculate the value of the number R

R= Correct Wrong

S + T = 1200

If S is three times as big as T:

Calculate the value of the number S

S= Correct Wrong

Calculate the value of the number T

T= Correct Wrong
Check

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

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?

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 26 March 'Starter of the Day' page by Julie Reakes, The English College, Dubai:

"It's great to have a starter that's timed and focuses the attention of everyone fully. I told them in advance I would do 10 then record their percentages."

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

Pentransum

Pentransum

Answer multiple choice questions about basic mathematical ideas. If you get a number of questions correct you will be invited to post a question of your own. The bank of questions grows larger every day.

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.

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.

Transum.org is a proud supporter of the kidSAFE Seal Program

© Transum Mathematics :: This activity can be found online at:
www.Transum.org/go/?Num=797

Description of Levels

Close

Close

Level 1 - Calculations involving two letters where one is a multiple of the other

Level 2 - Calculations involving two letters where the difference between the values of the letters are given

Level 3 - Calculations involving three letters where two of them are different multiples of the third

Level 4 - Calculations involving three letters where the difference between the values of the letters are given

Level 5 - Calculations with a mixed set of clues to help determine their values

More Algebra 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.

Log in Sign up

Level 1 Example

H + J = 12

If J is twice as big as H, Calculate the values of the numbers H and J

J = 2H
Substitute this value for J into the original equation
H + 2H = 12
3H = 12
Divide both sides by 3
H = 4
J = 2H = 2 × 4 = 8


Level 2 Example

L + M = 11

If M is 3 more than L, Calculate the values of the numbers M and L

M = L + 3
Substitute this value for M into the original equation
L + L + 3 = 11
Subtract 3 from both sides
2L = 8
Divide both sides by 2
L = 4
M = L + 3 = 4 + 3 = 7

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

Close

Close