maths trail @esplanade

SUNTEC

Getting to the Esplanade

(1) Which of the bus numbers are prime numbers?

(2) Which bus numbers are divisible by 3?

(3) Which bus numbers are divisible by 11?

36, 56, 75, 77, 133, 162, 162M, 171, 174*, 181*, 195, 501, 700*, 857, 960, 961

36, 56, 75, 77, 133, 162, 162*, 171, 174*, 181*, 195, 501, 700*, 857, 960, 961

Have fun with Bus NumbersThe following buses bring people from all parts of Singapore to Raffles Avenue, outside the Esplanade Mall.

Some of these buses ply the night services, especially weekends and public holidays? Name these buses.

Do you know?

Prime Numbers & Divisibility Rules

(1) Which two bus numbers have a HCF of 15?

(2) Which two bus numbers have a LCM of 324?

(3) Is 10 the HCF of 700 and 960?

36, 56, 75, 77, 133, 162, 162M, 171, 174*, 181*, 195, 501, 700*, 857, 960, 961

36, 56, 75, 77, 133, 162, 162*, 171, 174*, 181*, 195, 501, 700*, 857, 960, 961

Have fun with Bus Numbers

HCF and LCM

Using the information given in the picture, find the maximum number of women and men that can take this lift at the same time.

Given that the average weight of a woman is 50 kg and the average weight of a man is 65 kg.

How many lines of symmetry does the figure on the left has?

What is the order of rotational symmetry for the figure?

There are 3 similar spheres in the picture. The ratios of their radius are 2 : 4 : 7 respectively.

Given that the volume of the medium sphere is 2.68 x 10-1 m3. What is the volume of the small and large sphere? Give your answers in standard form.

6.7 m

This man is standing at point A and his height is 1.8 m. The angle of elevation is shown.

AUsing the information given in the pictures, estimate the height of the lamp post.

If the base area covered is a circle of 35200/7 square metres,

find the radius at the fountain base. (Take Π = 22/7)

Fountain of

Wealth

TEST OF DIVISIBITY BY 3

• A NUMBER IS DIVISIBLE BY 3 IF THE SUM OF THE DIGITS IS DIVISIBLE BY 3

12 3

223

TEST OF DIVISIBILITY BY 4

• A NUMBER IS DIVISIBLE BY 4 IF THE LAST 2 DIGITS ARE DIVISIBLE BY 4

• FOR EXAMPLE : 2456788 IS DIVISIBLE BY 4 BECAUSE 88 IS DIVISIBILITY BY 4.

DIVISIBILITY BY 6

• A NUMBER IS DIVISIBLE BY 6 IF IT IS EVEN AND IS DIVISIBLE BY 3.

(a) Reminder Box

Divisibility Rules

(b) Useful Websiteshttp://www.primaryresources.co.uk/online/powerpoint/Divisibility%20Rules.ppt

http://mathforum.org/library/drmath/view/56057.html

http://mathforum.org/dr.math/faq/faq.prime.num.html