Measurement
Pythagoras and Trigonometry
Probability and Data
Indices and Surds
Geometry
100
What is the formula for the circumference of a circle?
π d or 2π r
100
Find 'x' (1 d.p.)
4.6
100
Find the Mean:
12, 15, 18, 17, 9, 1
12
100
Simplify
β5 - 3β5
-2β 5
100
Congruent means same _____ and ______
size, shape
200
The bases of a trapezium are 4km and 8km long, and its height is 6km. What is its area?
36km2
200
If a right angled triangle has short sides of 5m and 8m, what is the length of the hypotenuse?
β89m
200
What is the probability that someone likes Wendy's?
Pr (W) = 7/25
200
(5m6 x 3mn) / (6n)2
5m7 / 12n
200
Name the 4 tests for similarity of triangles
SSS, SAS, AA/AAA, RHS
300
What is the surface area of a square-based pyramid that has a base length of 50m and a slant height of 35m?
6000m2
300
Find 'theta' to the nearest degree
60 degrees
300
Find the IQR:
12, 15, 18, 17, 9, 1, 7, 25
9.5
300
Simplify 3β9 + 2β6 x β9
3β9 + 6β6
300
Find 'x' and 'y' and give reasons
y = 130 degrees (supp.)
x = 50 degrees (corr.)
400
A cube has a surface area of 54cm2.
What is its volume?
27cm3
400
Two buildings are 25m apart. There is a 50m long cable connecting the tops of each building (on the edge closest to each other). What is the difference in height of the two buildings (nearest m)?
43m
400
Suppose we have 2 bags. The first bag contains 1 silver coin and 4 gold coins. The second bag contains 3 silver coins and 1 gold coin.
If we select one coin at random from each bag, what is the probability that we will get 2 gold coins or 2 silver coins?
Pr(Both silver or gold) = 7/20
400
Express using positive indices:
3x-3y-5z2 / (9y2)-2
243z2 / x3y
400
State the value of an interior angle on a regular heptagon (nearest degree).
129 degrees.
500
A cylindrical water tank has a radius of 3.5m and a height of 2m. How much water can it store (nearest Litre)?
76969L
500
Jeff is 1.7m tall. He stands on a 53m tall cliff looking at a cargo ship that is 1280m away. What is the angle of depression from Jeff to the ship (2 d.p.)?
2.45 degrees
500
Expand and Simplify, expressing with positive indices:
5(β256 x 16a-2b1/3)-1/4
5βa / 4b1/12
or 5a1/2/4b1/12
500
Are these triangles similar? If so, write a similarity statement and state the value of the scale factor (assuming that the larger triangle is an image).
β³ABC lll β³EDC (AAA)
Scale factor = 1.2