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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.

L + M = 9

If M is twice as big as L:

Calculate the value of the number L

L= Correct Wrong

Calculate the value of the number M

M= Correct Wrong

N + P = 60

If P is twice as big as N:

Calculate the value of the number N

N= Correct Wrong

Calculate the value of the number P

P= Correct Wrong

Q + R = 60

If Q is twice as big as R:

Calculate the value of the number Q

Q= Correct Wrong

Calculate the value of the number R

R= Correct Wrong

S + T = 400

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

U + V = 400

If V is three times as big as U:

Calculate the value of the number U

U= Correct Wrong

Calculate the value of the number V

V= Correct Wrong

W + X = 2400

If W is three times as big as X:

Calculate the value of the number W

W= Correct Wrong

Calculate the value of the number X

X= 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?

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"I am an NQT and have only just discovered this website. I nearly wet my pants with joy.
To the creator of this website and all of those teachers who have contributed to it, I would like to say a big THANK YOU!!! :)."

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"Love using the Starter of the Day activities to get the students into Maths mode at the beginning of a lesson. Lots of interesting discussions and questions have arisen out of the activities.
Thanks for such a great resource!"

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Answers

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

Description of Levels

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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.

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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

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