PT3 Mathematics 2017, Question 2

Question 2 (a):
Fill in the box with the correct number.
Solution:

Question 2 (b):
(i) Write True or False for the given statement.
(ii) Find the sum of perfect squares between 20 to 60.

Solution:
(i)
(ii)
Sum of perfect squares between 20 to 60
= 25 + 36 + 49
= 110

Question 2 (c):
Diagram 2 shows the path of Stage 3 ‘Le Tour De Langkawi’ from Shah Alam to Genting Highlands.
Ali started the race from Shah Alam to Gombak with an average speed of 60 kmh^-1. He took 1 hour 30 minutes from Gombak to Genting Highlands with an average speed of 20 kmh^-1.
(i) Find the time taken for the journey from Shah Alam to Gombak.
(ii) Find the distance from Shah Alam to Genting Highlands.

Solution:
(i)
$\begin{array}{l}\text{Time taken}\\ =\frac{75\text{ km}}{60\text{ km/h}}\\ =1.25\text{ hour}\\ =1\text{ hour }15\text{ minutes}\end{array}$

(ii)
$\begin{array}{l}\text{Distance from Gombak to Genting Highlands}\\ \text{Distance}=\text{speed}\times \text{time taken}\\ =20\times 1.5\\ =30\text{ km}\\ \\ \text{Total distance from Shah Alam to Genting Highlands}\\ =75+30\\ =105\text{ km}\end{array}$