Superfluous

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

Level 1Level 2Level 3Level 4Level 5DescriptionHelpMore Algebra

This is level 3: calculations involving three letters where two of them are different multiples of the third. You can earn a trophy if you get at least 9 questions correct and you do this activity online.

 R + S + T = 18If S is twice as big as R and T is three times as big as R:Calculate the value of the number R R= Calculate the value of the number S S= Calculate the value of the number T T= U + V + W = 120If V is twice as big as U and W is three times as big as U:Calculate the value of the number U U= Calculate the value of the number V V= Calculate the value of the number W W= X + Y + Z = 4200If Y is twice as big as Z and X is three times as big as Z:Calculate the value of the number X X= Calculate the value of the number Y Y= Calculate the value of the number Z Z= A + B + C = 560If B is twice as big as A and C is twice as big as B:Calculate the value of the number A A= Calculate the value of the number B B= Calculate the value of the number C C=
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This is Superfluous level 3. You can also try:
Level 1 Level 2 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.

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Could we have some on angles too please?"

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Connect 4 Factors

A mathematical version of the popular Connect 4 game based on getting four numbers with a common factor in a line. Fun for one, two or a whole class of pupils.

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© Transum Mathematics :: This activity can be found online at:
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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.

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

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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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