**"Integers"**

## Grades 7 to 9 Up Down Game

*By toni On 12 October, 2017 · Leave a Comment*

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.

Separate the 40 number cards from the 8 operation cards and shuffle them separately to […]

## Grades 7 to 10 Target Game

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

Combine the two given numbers using one of the operations addition +, subtraction -, or multiplication x, and each number once and only once, to get as close to the target number as possible.

Target -10 with (-3) and (-5); Target -60 with (-6) and (+9); Target + 45 with (-5) and […]

## Grades 6 to 9 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 […]

## Grade 8 to10 – Cuboids

*By toni On 1 November, 2016 · Leave a Comment*

Find a cuboid (with edges of integer values) that has a surface area of exactly 100 square units.

Is there more than one?

Can you find them all?

Can you provide a convincing argument that you have found them all?

Click here for Notes for Teachers.

Click […]

## Grades 8 to 12 – 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).

[…]

## Grades 7 to 9 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 […]

## Grades 9 and 10 – 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 […]

## Grades 4 to 7 A Square of Numbers

*By toni On 6 May, 2015 · 13 Comments*

Can you put the numbers 1 to 8 (each number once and only once) into the circles so that the four calculations are correct?

This problem is adapted from the NRICH task A Square of Numbers with permission of the University of Cambridge. All rights reserved.

## Grade 6 to 8 – 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 […]

## Grades 4 to 7 Multiplication Squares

*By toni On 1 December, 2014 · 5 Comments*

In the first square the boxes at the end of each row and the foot of each column give the result of multiplying the two numbers in that row or column.

Can you find 4 consecutive numbers to complete the second multiplication square in the same way?

Make up puzzles for your […]

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