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

🎭

🍌

ROW SUM

20

🍌

🎭

🎭

ROW SUM

17

🍌

COLUMN SUM

16

🍌

COLUMN SUM

20

ROW SUM

19

COLUMN SUM

20

Answers:

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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 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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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:

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 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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