Index laws
Bidmas
Time
Percentages
Irrational numbers
100

Simplify m2 x m4 x m5

m11

100

Simplify  −3×(−2)3+4

28

100

There a ______ seconds in 4 hours and 53 minutes

17 580

100

What is 63% of 250

157.5

100

What is the definition of an irrational number?

An irrational number is a number that cannot be expressed as a fraction.

200

Simplify p12 ÷ p10 ÷ p-3

p5

200

Simplify  15÷(−1)3×2

-30

200

The are 30 600 seconds is ________ hours

8.5

200

Mark up $36 by 22%

$43.92

200

What are the characteristics of an irrational number?

1. Cannot be written as a fraction

2. Non-recurring 

3. Does not terminate 

300

Simplify (g4)-3

g-12

300

Simplify (6−42)×(−2)

20

300

What does GMT mean and where does it originate?

Greenwich Mean Time is the mean solar time at the Royal Observatory in Greenwich, London

300

Discount $98 by 33%

$65.66

300

Write 5 non-examples of an irrational number 

Answers will vary

400

Simplify a2 x a x a-5

a-2

400

Simplify  −4×(2−(−6)÷6)

-12

400

If Brisbane is 10 hours ahead of Paris, what time is it in Paris if it is 2am in Brisbane

4pm

400

Shipshape stores were having a sale and reducing all items by 20%. Gerry purchased the following items, which still had their original price tags: jeans $75, long-sleeved shirt $94, T-shirt $38 and shoes $125. What was Gerry’s total bill at the sale?

$265.60

400

Write 5 examples of an irrational number

Answers will vary

500
Simplify 30m0n2p0

n2

500

Simplify  ((−2)+1)×(8−(−3))

-11

500

If I travel from London to Canada it will take me 11 hours and 45 minutes. If Canada is 6 hours behind London, what is the time when I arrive if I depart at 5am?

10:45am

500

At the end of the winter season an outdoors store had a 20% discount on all items in the store. Two weeks later they were still heavily overstocked with ski gear and so they advertised a further 40% off already discounted items. Calculate the new selling price of a pair of ski goggles with a RRP of $175.00.

$84

500
Is the sqrt(541) rational or irrational? Why?

Irrational because the square root of any prime number is an irrational number.