**"Lesson Activities"**

## Couples Puzzle

*By toni On 28 January, 2021 · Leave a Comment*

In a small village two thirds of the adult men are married to three quarters of the adult women.

How big is the smallest village for which this is true?

Can you describe the population of other villages for which this is true?

Click here to download the […]

## Magic 13837

*By toni On 20 January, 2021 · Leave a Comment*

Try the ages of your family and friends.

What happens?

Can you explain it?

Does this work for very old people over the age of 99? Why or why not?

Click here to download the MAGIC 13837 worksheet.

Click here for the Notes for Teachers for Years 6-10.

Inspired by […]

## Factors and Multiples Game

*By toni On 9 January, 2021 · Leave a Comment*

This is a game for one or two players.

The first player chooses a positive even number that is less than 50, and crosses it out on the 100 square grid.

The second player chooses a number to cross out. The number must be a factor or multiple of the previous number.

Players […]

## Water Lilies

*By toni On 8 January, 2021 · Leave a Comment*

There are some water lilies in a lake.

The area that they cover doubles in size every day.

After 17 days the whole lake is covered with water lilies.

How long did it take them to cover half the lake?

Click here for the WATER LILIES […]

## Two by Two Puzzle

*By toni On 8 January, 2021 · Leave a Comment*

Can you find numbers to replace the ? marks to solve this two by two multiplication puzzle? Can you explain how it works?

How does the diagram below connect with the multiplication?

Use the two grids to do the two multiplications:

72 × 25 […]

## MD Puzzle

*By toni On 8 January, 2021 · Leave a Comment*

What do you notice about the numbers in this square?

Write numbers in the blank boxes in squares B, C. and D that make the same patterns as in square A.

Cards 1 to 16 all use multiplication or division and give clues about the numbers in squares A, B, C […]

## Prime Sieve

*By toni On 7 January, 2021 · Leave a Comment*

You might like to start by investigating the patterns you get when you shade multiples of a number on a grid. Download here

For the prime sieve investigation use a 100 square grid (download here):

Circle the number 2. Put a line through every multiple of 2 up to 100.

[…]

Can you find the chosen number from this square using the clues below?

1. The number is odd.

2. It is a multiple of three.

3. It is smaller than 7 x 4.

4. It has an even tens digit.

5. It is the greater of the two possibilities.

[…]

## How Many Factors?

*By toni On 1 January, 2021 · 3 Comments*

See the Inclusion and Home Learning Guide for related activities on the same topic for ages 4 to 18+.

How many factors does 72 have?

Investigate numbers that are products of a square number and a cube number. How many factors do they have?

How does the number 1 behave in the world […]

## Game of Pig

*By toni On 31 December, 2020 · Leave a Comment*

Both players start with zero points and take turns to throw the dice as many times as they like adding the total at each throw to their score.

Suppose you throw a double one. On the next throw, is your chance of throwing a double one the same, more likely or less […]

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