# Unbeknownst

## Find the value of each emoji from the sums of the rows and columns.

🔷

💥

8

💥

🔷

8

🔷

8

7

5

###### COLUMN SUM

6

⭕ =

🔷 =

💥 =

Check

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## Transum.org

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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#### 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.

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## 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

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Ann, London

Monday, May 3, 2021

"Window View is another fabulous Transum activity for creating and solving Simultaneous Equations with only two variables:
https://transum.org/go/?Num=214."

Saturday, June 11, 2022

"

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© Transum Mathematics :: This activity can be found online at:
www.Transum.org/go/?Num=906

## Description of Levels

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Sum of the Signs - A much easier puzzle if you are finding Unbeknownst too difficult.

Level 1 - 3 unknowns. Solution could start with 2 simultaneous equations

Level 2 - 4 unknowns. Solution could start with 2 simultaneous equations

Level 3 - 4 unknowns. Solution could start with 3 simultaneous equations

Level 4 - 4 unknowns. Solution could start with 4 simultaneous equations

Level 5 - 5 unknowns. Solution could start with 4 simultaneous equations

Simultaneous Equations - You can practice solving simultaneous equations with this set of exercises.

More Puzzles - For more challenges and the opportunity to collect more trophies.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you donâ€™t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

## Curriculum Reference

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

## Hints

You will need pen or pencil and paper to do some working out.

The puzzles can be solved using algebra. Here is an example:

Let s represent the value of the star.

Let b represent the value of the ball.

Let f represent the value of the flower.

From the bottom row f + 2s = 16

From the centre column 2f + s = 17

You now have two simultaneous equations. Double the first equation to give a third:

2f + 4s = 32

Subtract the second equation from the third:

3s = 15

Divide both sides of this equation by 3.

s = 5

So the value of the star is 5 and this can be sudstituted in the first equation.

f + 2 × 5 = 16

f + 10 = 16

f = 6

So the value of the flower is 6

These two values can be substituted into an equation obtained from the first row to find that the value of the ball is 7.

You can practice solving simultaneous equations here: https://Transum.org/go/?Num=100.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you donâ€™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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