Chapter 1
Write 80 as a product of prime factors.
24 x 5
List all integer values of y for the inequality -4 ≤ y < 4
y: -4, -3, -2, -1, 0, 1, 2, 3
Calculate 0.73 ÷ 0.01
0.73 ÷ 0.01 = 73
Order the following from biggest to smallest:
-44.2, 37.16, 101.01, -28.99
101.01, 37.16, -28.99, -44.2
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b, vertically opposite angles
c, corresponding angles
Given that 34 = 81, solve 81 x 81 and write your answer in index form.
81 x 81 = 34 x 34
= 34+4
= 38
Solve the expression y2 - √y when y=4
y2 - √y = 42 - √4
= 16 - 2
= 14
A factory manager wants to find out the angle at which a specific model of smartphone needs to be bent before it breaks. What method of data collection should he use?
Experiment
Order the following from smallest to biggest:
8060g, 0.2kg, 12t, 93kg
0.2kg, 8060g, 93kg, 12t
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a + 67 = 123
a = 123 - 67
a = 56°
Write the answer to the following in index form.
73 x 74 ÷ 75
73 x 74 ÷ 75 = 73+4-5
= 72
Expand the expression 3x2(4x2 + 6)
3x2(4x2 + 6) = 12x4 + 18x2
A child from a rich family wants to find out how much pocket money children get on average. He interviews his siblings and cousins to collect data. Why is this not a good way to choose the sample?
It is not diverse enough/representative of children from different backgrounds.
A BMW X5 has a petrol tank capacity of 83 litres. If petrol is priced at RM3.18 per litre, find the cost to pump a full tank of petrol for a BMW X5.
83 x 3.18 = RM263.94
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20°
Given that x3 - 582 = 0, find x correct to 4 s.f.
x3 - 582 = 0
x3 =582
x = ∛582
= 8.349125609
= 8.349 (4 s.f.)
Factorise 15ac2 - 20cd2
15ac2 - 20cd2 = 5c(3ac - 4d2)
Round 7906.252 to 3 s.f., then to 1 d.p.
(200 points per correct answer)
7906.252 = 7910 (3 s.f.)
7906.252 = 7906.3 (1 d.p.)
A person wishes to sell a 0.8ct (carat) diamond ring they bought at RM11215. You are given the following information:
A diamond loses at least 10% of its value the moment it is bought.
1ct = 0.2g
What is the weight of the diamond and what is its highest possible resale value? (200 points per correct answer)
0.8 x 0.2 = 0.16g
RM11215 x 0.9 = RM10093.5
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angle RPQ = 15°
angle SRD = 86°
Given that a cube-shaped cardboard box has a height of 50cm, how many of these boxes could theoretically fit into a truck with a capacity of 33m3?
50cm = 0.5m
(0.5m)3 = 0.125m3
33m3 ÷ 0.125m3 = 264
Given that one angle in an equilateral triangle is x/2 + 15°, find the value of x.
3(x/2 + 15) = 180
3x/2 + 45 = 180
3x/2 = 180 - 45
= 135
x = 135 ÷ 3/2
= 135 x 2/3
=90°
A barrel can hold 160 litres of liquid. Given that 1 ml = 0.033814 oz(fluid ounces), find the capacity of the barrel in oz, correct to 2 s.f.
160 x 1000 ml = 160000 ml
160000 x 0.033814 oz = 5410.24
= 5400 oz (2 s.f.)
Bauxite is an ore that contains aluminium. Through an extraction process, 5.3g of bauxite produces 1g of aluminium. A mining company gathers 20kg of bauxite. How much aluminium will they be able to extract? Round your answer to 1 d.p.
20kg = 20000g
20000 ÷ 5.3 = 3773.584906
= 3773.6g (1 d.p.)
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22cm