**Learner Resource**/

School Name / Helensvale SHS

Subject / Maths / Topic / Probability/Time Scales / Year / 9

Description / Expressing numbers using scientific notation/index laws. Investigate time scales using prefixes and scientific notation/ conversion of time using index laws

Instructions / Have a general discussion with students regarding the curriculum intent of this unit. Revise concepts taught in Unit 6 on index notation and scale in unit 3. This will help students to recall prior knowledge.

**Task designed by**/ Kerri Fields / Contact / Janelle Dickman 0467 777 965

Student Name / Class / Date

1. Write the following in scientific notation.

a 160 000 b 0.000009

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b i The volume of the Moon is . Write this measurement in decimal form.

______

ii The volume of Earth is 1083 billion cubic kilometres; that is,

1 083 000 000 000 . Write this measurement using scientific notation.

______

2. Match the following event times to the equivalent representation in scientific notation.

A human eye blink takes 0.5 seconds / 5 x 10-2

The shutter speed was set at 50 milliseconds / 5 x 10-1 seconds

Light travels 120 km in

**500 micro seconds**/ 5 x 10-4

3. A coin is tossed three times.

a Draw a tree diagram to represent the sample space.

b Find the probability that the first coin is tails and the next two are heads.

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c Find the probability that one tail and two heads are tossed, in any order.

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d Find the probability that at least two heads are tossed.

______

4. In a year 8 class of 22 students, 4 students own both a cat and a dog, 5 students own a cat but not a dog, and 10 students own a dog but not a cat.

a How many students own neither a cat nor a dog?

______

b Represent these findings in a Venn Diagram.

c How many students own a cat?

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d How many students own a cat or a dog (or both)?

______

e Complete the table below to represent these findings in two-way table.

Own a dog /

**Do not own a dog**/ Total

Own a cat

**Do not own a cat**

Total

f What is the probability that a student owns both a cat and a dog?

______

5. A box contains an unknown number of coloured marbles and a marble is drawn from the box and then replaced. The procedure is repeated 100 times and the colour of the marble drawn is recorded each time. Forty of the marbles drawn were green.

a Find the experimental probability for the number of green marbles.

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b Find the expected number of green marbles if the box contained 500 marbles in total.

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South East Region Learner Resource template V1 – Aug 2013