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Yohaku 4 by 4 Puzzles

Fill in the blank spaces so that the cells give the sum or the product shown in each row and column.

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This is Puzzle 3. The numbers in the rows and columns add together to give the sums shown at the end of the rows and columns. There are clues below the puzzle.

34
34
34
34
34 34 34 34 +

Use the numbers 1 to 16
The number in the top left cell is twice the number in the top right cell
The numbers in the bottom left cell and the number in the bottom right cell are both square numbers
The numbers in the second row and second column is a cube number
The two numbers at the top of the third column are consecutive numbers
The numbers at the beginning of the second and third rows are prime numbers
The number in the first row and second column is equal to its own reciprocal
The number in the second row and fourth column is both even and prime
This square is magic!

Check

You can also try:
Puzzle 1 Puzzle 2 Puzzle 4 Puzzle 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?

Comment recorded on the 23 September 'Starter of the Day' page by Judy, Chatsmore CHS:

"This triangle starter is excellent. I have used it with all of my ks3 and ks4 classes and they are all totally focused when counting the triangles."

Comment recorded on the 25 June 'Starter of the Day' page by Inger.kisby@herts and essex.herts.sch.uk, :

"We all love your starters. It is so good to have such a collection. We use them for all age groups and abilities. Have particularly enjoyed KIM's game, as we have not used that for Mathematics before. Keep up the good work and thank you very much
Best wishes from Inger Kisby"

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Description of Levels

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2 by 2 Puzzles - The basic Yohaku puzzles, a good place to start.

3 by 3 Puzzles - Similar Yohaku puzzles with some numbers already placed.

Level 1 - Addition :: Number sequences across and down

Level 2 - Multiplication :: Only prime numbers

Level 3 - Addition :: Magic square

Level 4 - Multiplication :: Fibonnaci numbers

Level 5 - Addition :: Number facts

More Puzzles - A huge collection of mathematical puzzles for you to enjoy.

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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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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