**"Integers"**

## Up Down Game

*By toni On 26 November, 2023 · Leave a Comment*

For versions of the game for different age groups see the Inclusion Guide.

This is a game for two players, a group of 3 or 4 players, or for the whole class. You will need to download and cut out or otherwise make 2 sets of these 24 cards.

[…]

## 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 […]

## Target Game with Integers

*By toni On 30 January, 2021 · Leave a Comment*

In this game players combine two given numbers to get as close to a target as possible using one of the operations: addition +, subtraction -, or multiplication ×, and each number once and only once. For example, combining (-3) and (-5) to get as close as possible to the target of […]

## Tug of War Game

*By toni On 29 August, 2020 · Leave a Comment*

Do you prefer the game if you change the rules so you only have to reach +13 or -13 to win, and it’s OK to overshoot? Why?

In the TUG MUCH HARDER GAME you can add, subtract, multiply or divide the 2 scores (in either order). […]

## 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 […]

## EXTREMES

*By toni On 12 November, 2016 · Leave a Comment*

We need to use negative numbers for sub zero temperatures and for distances between the highest peaks on earth and the deepest points in the oceans and deep mines.

Mauna Kea’s summit is 4205 metres above sea level but it extends below the sea surface to a depth of -6000 metres. This makes Mauna Kea […]

## Take Three from Five

*By toni On 26 October, 2016 · Leave a Comment*

Is it always possible, from any set of five positive whole numbers, to choose three numbers that add up to a multiple of 3?

For example, if you start with 4, 7, 11, 12 and 18, you can choose 4, 11 and 12 which add up to 27 (a multiple of 3).

[…]

## Letter Land Puzzle

*By toni On 11 August, 2016 · Leave a Comment*

The letters A, B, C, D, E, F, G and H correspond to the numbers from 0 to 7 with no repetitions.

Use the clues that A+C=A and F×D=F to find the values of two letters.

Use the clues B−G=G and B/H=G to find the value of another three letters.

Use the clues A+H=E […]

## Mixing Paints

*By toni On 18 January, 2016 · Leave a Comment*

Paint A is made up from red and white paint in the ratio 1:3 and paint B is made up from red and white paint in the ratio 1:7 . The cans are the same size.

You can mix the paints to produce different shades of pink. Explain how to find the ratio of […]

## Thousands and Millions

*By toni On 18 January, 2015 · Leave a Comment*

Try a few of these:

Do human beings live for as long as a million hours?

If you have been alive for a million seconds, how many birthdays have you had?

What year was it one billion minutes ago?

How long would it take to count to a million […]

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