**"Lower Secondary"**

## Years 4 – 7 Spin High or Low

*By toni On 20 January, 2018 · Leave a Comment*

To win this game you need to understand place value and the game can easily be adapted to include decimals. All versions of the game can be played by a whole class as a lesson starter or in pairs or with any number of players.

You will need a 0-9 spinner like […]

## Grades 4 to 8 Scissors, Paper, Rock

*By toni On 19 November, 2017 · Leave a Comment*

For scissors hold out 2 fingers like a pair of scissors.

For paper hold your hand out flat.

For rock clench your hand into a fist.

Count 1 , 2, 3 and then both players make one of the signs scissors, or paper or rock at the same […]

## Grades 5 to 10 PIG

*By toni On 19 November, 2017 · 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 […]

## Years 9 to 12 In the Bag

*By toni On 4 August, 2017 · Leave a Comment*

You have 2 different bags of marbles.

One bag has 3 Red and 2 Blue the other has 5 Red and 3 Blue.

Mzo picks one marble from each bag at random.

What is the probability he picks one of each colour? What is the probability he does NOT pick a […]

## Years 8 – 10 At least one

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

If Busi has 3 children what is the probability that at least one will be a girl?

Imagine tossing a coin three times.

What’s the probability you will get a head on at least one of the tosses?

Suppose you drew this tree diagram. How would it help you to find the answers to […]

## Grades 9 to 12 Mathsland Lottery

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

In the Mathsland Lottery, 49 balls are numbered 1 to 49 and 6 balls are chosen at random without replacing any of the balls so that 6 different winning numbers are chosen.

Each lottery ticket has 6 numbers and you win a top prize if your 6 numbers match the 6 numbers chosen that […]

## Grades 9 to 12 Lucky Numbers

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

In the Lucky Numbers Game 6 balls are numbered 1 to 6 and 3 balls are chosen at random without replacing any of the balls so that 3 different winning numbers are chosen.

When you play this game you get a ticket with 3 numbers written on it.

You win a prize if […]

## Years 6 – 12 In a Box

*By toni On 20 August, 2013 · 37 Comments*

Najwa and Zuki play a game.

They put two red and four blue ribbons in a box. They pull out two ribbons at the same time without looking at the colours.

Najwa wins if both ribbons are the same colour.

Zuki wins if the two ribbons are different colours.

Is this a fair […]

## Grades 7 to 10 Nines and Tens

*By toni On 19 March, 2012 · 26 Comments*

Both 9 and 10 can be made up in 2 different ways by adding pairs of the numbers 1, 2, … 6, that is

9 = 3 + 6 = 4 + 5

10 = 4 + 6 = 5 + 5

Explain why it is that when you throw two dice you are more […]

## Years 8 – 10 Same Birth-month

*By toni On 17 February, 2012 · 8 Comments*

The probability that there are two people in a group with birthdays in the same month depends on the size of the group.

What if the group has more than twelve people?

What about a group of 2 people? What is the probability they have birthdays in different months?

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