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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 1. 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.

54
62
70
78
60 64 68 72 +

First choose a whole number for the top left cell.
Each number that is not in the left column is one more than the number to its left.
Each number that is not in the top row is two more than the number above it.

Check

You can also try:
Puzzle 2 Puzzle 3 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?

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"Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work"

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"An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!"

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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 page is an alphabetical list of free activities designed for students in Secondary/High school.

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Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

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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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