Equatero

Find the expression from a series of guesses and clues.

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

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This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

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Featured Activity

Three Ways

Three Ways

Can you get to the target number by multiplying together four different one digit numbers? Can you do it in three different ways? There are nine levels to this online challenge and a virtual Transum Trophy available for each level.

Numeracy

"Numeracy is a proficiency which is developed mainly in Mathematics but also in other subjects. It is more than an ability to do basic arithmetic. It involves developing confidence and competence with numbers and measures. It requires understanding of the number system, a repertoire of mathematical techniques, and an inclination and ability to solve quantitative or spatial problems in a range of contexts. Numeracy also demands understanding of the ways in which data are gathered by counting and measuring, and presented in graphs, diagrams, charts and tables."

Secondary National Strategy, Mathematics at key stage 3

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 main page links to more activities designed for students in upper Secondary/High school.

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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When planning to use technology in your lesson always have a plan B!

Transum,

Saturday, January 8, 2022

"It is not sufficient just to find an expression that’s true but to find the exact expression that I was thinking of. For example 6-1=5 while true would not be correct if I am thinking of 6=1+5."

Fiona Rosler, Twitter

Monday, February 7, 2022

Transum,

Thursday, July 14, 2022

"Mathematical Pie has been around for as long as I can remember. It is published three times a year and is aimed at pupils from 10 to 14 years of age, but is read by all age groups. Each issue contains a variety of problems and challenges, stimulating mathematical activity. The questions vary in their difficulty so that there are suitable starting points for all ages of student. It is published by the Mathematical Association.

I was excited to find out that the Summer 2022 edition featured Equatero. What an honour!. Here is the excerpt:

From Mathematical Pie"

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.

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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 containing 5 numbers and symbols

Examples: 1+2=3 or 6=8−2

Level 2 - Calculations containing 6 numbers and symbols

Examples: 3×4=12 or 5=14-9

Level 3 - Calculations containing 7 numbers and symbols

Examples: 2×2×2=8 or 5−3=2÷1

Level 4 - Calculations containing 8 numbers and symbols

Examples: 9×6=58−4 or 4+5+9=18

Level 5 - Calculations containing 9 numbers and symbols

Examples: 9^2=24+57 or √16=67−63

Vocabero - A similar game requiring you to guess a mathematical word.

Mathstermind - The Transum version of that old game requiring you to guess a number.

More Puzzles - all with a mathematical theme.

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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Currently the greatest number of points earned in the last month for this level (Level 1) has been achieved by Craigmutch3 with 126 points on Sunday, November 6, 2022. Can you beat that? If you can make sure you claim a trophy because that is how good scores are officially recognised.

Craigmutch3

126 points

Example

Suppose I am thinking of the calculation 1+2=3

You have to try and gress what my calculation is.

For your first guess you may type in 4-1=3

When you have finished typing the tiles will change colour. The colours are the clues:

Example

Now have another guess at my calculation. Use the clues that you have been given.

Each of your guesses (for Levels 1 to 4) should be a correct mathematical equation (two equivalent expressions with an equals sign between them).

You will earn points for guessing my calculation correctly. When you have earned enough points you can claim a trophy.

Here is an example from level 4:

Example

I hope you enjoy working on these puzzles and I wish you many green tiles!

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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Bidmas

BIDMAS is an acronym reminding pupils of the order of operation used when evaluating expressions involving a number of different operations. The letters of BIDMAS stand for:

When only addition and subtraction (or only multiplication and division) are left in an expression you should work them out in the order you find them, starting from the left and working towards the right. The blue image of the letters above has been designed to show that multiplication and division have the same importance as the letter M is in the same position as the letter D. The same can be said for the letters A and S.

For example, to evaluate the expression 32 + 5 x 7 - (4 - 3)

Work out the brackets first which gives 32 + 5 x 7 - 1

Then the indices 9 + 5 x 7 - 1

Then the multiplication 9 + 35 - 1

Then the addition and subtraction in the order they are given

The answer is 43

PEMDAS is an alternative acronym.

Pemdas

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