Our commitment

What is offered at our School?

  • Adult environment
  • Individual attention
  • Regular diagnostic tests
  • Professional teaching
  • Competitive rates
  • Small class size
  • Free email help, every day till late
  • Free learning support classes (Thursdays, 4pm to 6pm)

 

 Our timetables

Yr 11 Mathematics & Extension 1:

Saturday, 4:30 pm to 6:30 pm
Sunday, 4:30 pm to 6:30 pm

 

Yr 12 Mathematics & Extension 1:

Saturday, 9:00 am to 12:00 pm

Sunday, 9:00 am to 12:00 pm

 

Yr 12 Mathematics Extension 2:

Saturday, 1:00 pm to 4:00 pm

Sunday, 1:00 pm to 4:00 pm

 

 Our schedule
  • 2014
    New school year begins on 26/7/2014
    1st term: 26/7 - 28/9 (10 weeks)
    2nd term: 18/10 - 21/12 (10 weeks)
  • 2015
    3rd term: 24/1 - 29/3 (10 weeks)
    4th term: 18/4 - 21/6 (10 weeks)
    New school year begins on 18/7/2015
    1st term: 18/7 - 20/9 (10 weeks)
    2nd term: 10/10 - 13/12 (10 weeks)
  • 2016

 

Note: We start the year in July so that our students gain a head start. Please enrol early as the number of seats is limited.


 

 Our staff

 

All Maths classes are taught and/or supervised by Mr. Terry Lee (B.Sc, M.Ed.), who is the author of the popular 4-unit textbook "Advanced Mathematics". He is a former teacher and head teacher in New Zealand (Wairoa College, Christchurch Girls HS) and NSW (Cabramatta HS, Sir Joseph Banks HS, St Mary's Senior HS, Newington College). He is also a former senior HSC marker.

This is a collection of interesting problems aimed to improve your problem solving skills and simultaneously stimulate your interest in Mathematics.


Question 1: Some simple problems.

a) Simplify (x – a)(x – b)(x – c) . . . (x – z)

b) If you had only one match and entered a dark room in which there were a kerosene lamp and a candle. Which one should you light first?

c) You have fifteen cents in two coins. One of them is not a five cent coin. What are the coins?

d) There is three errers in this sentence. Can you find them all?

e) In a year how many months have 31 days, how many months have 30 days and how many months have 28 days?

f) You have three cups of coffee and fourteen lumps of sugar. You have to sweeten the cups using an odd number of lumps in each cup. How can you do it? (You must use all the lumps)

g) Can I find a trick recalling pi easily?

Answer

a) 0, as (x – x) is a factor, which is equal to 0. Anything multiplied by 0 is 0.

b) The match.

c) The other coin is 5c, and this one is 10c.

d) Is, Errers, and the fact that there are only two errors makes this another error.

e) Seven months have 31 days, eleven months have 30 days and all twelve months have 28 days.

f) Put a lump in the first cup, a lump in the second cup and all twelve lumps in the third cup. This is a very odd number (to put 12 lumps in a cup of coffee).

g) Count the words (Count the number of letters in the question and answer sentences: 3 1 4 1 5 9 2 6 5 3 5).

 

Question 2: Time measurements.

a) You have two hourglasses, a four minute glass and a seven minute glass. You want to measure nine minutes using the two glasses. How do you do it?

b) You have two incenses which last one hour each. How do you use them to measure 45 minutes?

Answer 

a) Start both hourglasses. When the four minute glass runs out (4 minutes elapsed), turn it over. When the seven minute glass runs out (7 minutes elapsed) turn it over. When the four minute glass runs out the second time (8 minutes elapsed), turn the seven minute glass over (it has run for only 1 minute). When it stops, nine minutes have elapsed.

b) Burn both ends of an incense and only one end of the other incense. When the first incense burns out, (30 minutes elapsed), burn the other end of the second incense. When it burns out, it's 45 minutes.

 

Question 3: Sequences from the Alphabet.

a) What are the next three terms for the following sequences?

i) 8, 5, 4, 9, 1, 7, 6, . . .

ii) o, t, t, f, f, s, s, . . .

iii) 4, 8, 12, 2, 1, 7, 6, . . .

b) What is the next number in this pattern?

2, 4, 6, 30, 32, 34, 36, 40, 42, 44, 46, 50, 52, 54, 56, 60, 62, 64, 66, ...

Answer

a)

i) 3, 2, 0 (the first ten numbers (from 0 to 9) in alphabetical order: eight, five, four, nine, etc.)

ii) e, n, t (the initials of the first ten counting numbers: one, two, three, etc.)

iii) 3, 5, 11 (the months of the year in alphabetical order)

b) 2000, as all of these numbers do not contain the letter E, when being spelt (in English).

 

Click 'More' for more questions.