Year 8 Revision

Integers

100

Evaluate:

-7-(-3)

-4

200

Solve

12-(-8)xx(-8+10)-:2^2

16

300

If  a=-8  and  b=-5 , find

b^2-(2a+5)

36

400

The average of 6 numbers is –24. If another number is added to the list, the average becomes –21. What is the new number?

–3

500

If  a=-3 ,  b=-7 ,  c=-2 , solve: 

sqrt(-7b)+(-c)^3-3a

24

Real Numbers

100

Evaluate, writing your answer in simplest form

7/8+2/3

37/24

200

Convert 0.1234 to a fraction

617/5000

300

Evaluate

12.8-:0.7

18.285714...

400

4(2)/11-:7/11xx3/23

6/7

500

Express 7.121212... as a fraction

7(4)/33

Rates & Ratios

100

What is 48:36 in simplest form?

4:3

200

What is the ratio of 120g to 3kg in simplest form?

1:25

300

Divide $240 in the ratio 1:3:4

$30 : $90 : $120

400

Which ratio is greater?

13:16 or 20:24

20:24 is greater as 40>39 when you make same denominator of 48. 

500

Convert 42km/h to m/min

700m/min

Percentages

100

Find 300% of 12

36

200

Daily Double

How many points are you willing to risk?

What is the profit on an item that cost $50 to make and the profit margin was 150%

300

45% of 40

18

400

A jacket is $88 with GST. Find the price without GST. 

$80

500

The price of a phone without GST is $1500. The store the phone is sold at is having a 30% off storewide sale. What is the price of the phone including GST with the discount applied?

$1155

Index Laws

100

Simplify, answer with positive indices

(x^2xxa^8)/(x^4xxa^5)

a^3/x^2

200

Evaluate

((-3x^2)^2xx2x^3)/(3x^7) 

6

300

What is x?

2^x=2048

11

400

Simplify, answer with positive indices

(x^-9xx3^-1)/(x^4xxb^-2)

b^2/(3x^13)

500

((3b)^0xx4)/((4a)^-2)-:((8a^4)^2xxb^3)/(5bxx(a^3b)^2)

20