**"Whole numbers"**

## The answer is 2022 but what is the question?

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

Find the prime factors of 2022.

How many ways can you arrange the digits 2, 2, 2 and 0 to get different numbers? What is the sum of those numbers?

You can be a creative mathematician, you can be someone who has your own mathematical ideas. Find your own interesting facts about […]

## Sandwich Puzzle

*By toni On 24 November, 2021 · Leave a Comment*

Suppose you have two 1s, two 2s and two 3s.

Arrange these six digits in a list so that:

between the two 1s there is one digit giving 1?1,

between the two 2s there are two digits giving 2??2,

between the two 3s there are three digits giving 3???3.

[…]

## Magic Numbers

*By toni On 6 October, 2021 · Leave a Comment*

What patterns do you see in them?

Suppose you have to share 9872 gold coins between 8 people.

You give the coins out in thousands until there are less than 8000 left.

Then you give out one hundred at a time until there are less than 800, then […]

## Odds and Evens

*By toni On 11 September, 2021 · Leave a Comment*

Do your own experiments using number cards to play the games and pick 2 cards at random each time.

In Game A an envelope or bag contains balls, or cards, numbered 2, 3, 4, 5 and 6. Pick out two balls or cards at random. If the total is even you win. […]

## Money Bags

*By toni On 1 September, 2021 · 2 Comments*

Ram had 15 coins, all the same kind, and he put them into 4 bags.

He labelled each bag with the number of coins inside it.

He could then pay any sum of money from 1 coin to 15 coins using one or more of the bags without opening any of the bags.

How […]

Download the pieces of the puzzle here and cut out the 16 small triangles.

Arrange the 16 pieces into a larger triangle so that the numbers on matching edges are the same, for example .

Click here to download the POWER MATCHING worksheet.

Click here for Notes for […]

## 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.

[…]

## One Step Two Steps

*By toni On 17 August, 2020 · Leave a Comment*

A staircase has 12 steps. You can go down the steps one at a time or two at time.

For example:

You could go down 1 step, then 1 step, then 2 steps, then 2, 2, 1, 1, 1, 1 as in the picture.

In how many different ways […]

## Target 10 Thousand

*By toni On 15 May, 2020 · Leave a Comment*

Another TARGET game for any number of players. You want to win? So THINK MATHEMATICALLY and ESTIMATE the likely answers. When you multiply H hundreds by T tens what do you want the product of the digits H×T to be? A bit less than 10 perhaps?

You will need a set of 10 cards […]

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