**"Multiples"**

## Loading Lorries

*By toni On 25 November, 2021 · 13 Comments*

Twenty-one gas cylinders are to be loaded onto three lorries.

Seven cylinders are full, seven are half-full and seven are empty.

A full cylinder weighs 50kg and an empty cylinder weighs 20kg.

How should they be loaded onto the lorries so that each lorry is carrying the same weight?

Click here to download […]

## Magic of 37

*By toni On 1 February, 2021 · Leave a Comment*

First complete the number sentences by putting = + – x or ÷ in the boxes. Then explain why the pattern occurs.

Explore the pattern you get when you carry on these multiplications up to 37 × 54.

Click here for MAGIC OF 37 worksheet.

Click here for the Notes […]

## 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 […]

## 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 […]

## 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.

[…]

## Path to the Stars

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

Is it possible to draw a 5-pointed star without taking your pencil off the paper?

When you turn this star around it looks exactly the same in 5 different positions so we say it has ROTATIONAL SYMMETRY of order 5.

Is it possible to draw a 6-pointed star in the same way […]

## TIMES NINE

*By toni On 3 July, 2020 · Leave a Comment*

Complete the calculations in the picture.

What do you notice?

To explain how the patterns of numbers arise:

Either multiply by (10 – 1) instead of multiplying by 9

or use the table below, first completing the calculations on each line.

## Shifting Times Tables

*By toni On 8 May, 2020 · Leave a Comment*

Count in 4s to give the 4 times table: 4, 8, 12, 16, 20, … 80, 84, 88, …

Now shift the 4 times table up 3 to give 7, 11, 15, 19, 23, … 83, 87, 91, …

Which tables were shifted to give the following sequences? By how much? Explain […]

## Lattice Points

*By toni On 7 May, 2020 · Leave a Comment*

The lattice points are where the lines intersect. How many interior lattice points do your lines go through?

Draw more grids. Before you draw the diagonals, can you predict how many lattice points they will go through? How do you know?

A point whose […]

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