Algebraic Techniques & Index Laws
Angle Relationships & Properties of Geometrical Figures
Ratios & Rates
Probability & Statistics
Measurement & Pythagoras
100
Simplify Fully:
3(x−2)−2(2x+5)+4
−x−12
100
Draw 5 Labelled Diagrams Showing:
Corresponding Angles
Alternate Angles
Vertically Opposite Angles
Co-Interior Angles
Adjacent Angles
100
A class contains boys and girls in the ratio 7:5 there are 36 students in the class. How many girls?
15
100
A bag contains 5 red, 4 blue and 3 green.
Two counters are selected without replacement.
Find P(Both Green)
1/22
100
A rectangle is enlarged by a scale factor of 3 its area was
24 cm^2
Find the new area.
216 cm^2
200
If,
2a−3b=11
find the value of
4a−6b
22
200
The angles in a triangles are in the ratio,
2:3:7
Find the largest angle.
105°
200
A map has a scale of 1:75000
Two towns are 12cm apart on the map.
Find the actual distance.
9km
200
A coin is tossed three times.
Draw a tree diagram and find the probability of exactly two heads.
3/8
200
A cylinder has r=5 cm h=8 cm
Find the volume in terms of pi.
200pi cm^3
300
Expand and simplify:
(x+4)(x−7)+(x+1)(x+2)
2x^2-11
300
The exterior angle of a regular polygon is
24°
How many sides does it have?
15
300
Gold, silver and bronze are mixed in the ratio 5:3:2
A sculpture contains 12kg of silver.
Find the total mass.
40kg
300
A spinner has:
P(R)=0.5 P(B)=0.3 P(G)=0.2
It is spun twice.
Find the probability of obtaining two different colours.
1-(0.5^2+0.3^2+0.2^2)=0.62
300
A sector has
theta=144° r=7 cm
Find its area in terms of pi.
(144/360)pi(7^2)=19.6pi cm^2
400
Simplify,
(12x^4y^3)/(18x^2y^(-2))
(2x^2y^5)/3
400
A quadrilateral has:
2 pairs of parallel sides
4 equal sides
No right angles
What is the most specific classification?
Rhombus
400
A car travels 285km in 3 hours and 20mins.
Find the average speed.
85.5km/hr
400
A bag contains:
4 red, 3 blue, 5 yellow
Two counters are chosen without replacement.
Find the probability of exactly one yellow.
(5/12)(7/11)+(7/12)(5/11)=35/66
400
A right-angled triangle has side lengths x, 24, 26.
Find x.
10
500
Given,
2^a=32
and
4^b=64
Find
a+b
8
500
Two corresponding angles are
4x+6 and 7x-45
Find x.
17
500
A drink is mixed in the ratio of cordial:water 3:8
There are 55L of mixture.
How much water must be added to make the ratio 1:4?
17.5L
500
A coin and a die are used.
Draw a tree diagram and find:
P((Head and Even) or (Tail and 5))
(1/2)(3/6)+(1/2)(1/6)=1/3
500
A ladder reaches 20m up a wall and its base is 21m
from the wall. Find the ladder length.
sqrt(20^2+21^2)=29 m