CXC math past paper type exam questions: Number theory

1. Using a calculator or otherwise, calculate

(i) the exact value of (4 4/5 ÷ 2 2/3) - (11/3)2

(4 mks)

(ii) correct to three significant figures, the value of
18.75 - (2.11)2

(3 mks)

(b) A loan of 12 000 was borrowed from a bank at 14% per annum

(i) The interest on the loan at the end of the first year (2 mks)
(ii) the total amount owing at the end of the first year (1 mks)
A repayment of $ 7 800 was made at the start of thesecond year.
(iii) the amount still outstanding at the start of the second year (1 mk)
(iv) the interest on the outstanding amount at the end of the second year (1 mk)


12 mks

2. (a) Using a calculator, or otherwise, determine the value of
(12.3)2 - (0.246 ÷ 3) and write the answer

(i) exactly
(ii) correct to two significant figures
(2 mks)
(b) The table below gives information on the values and the rates of depreciation in value of two motor vehicles.
Motor vehicle
Inital value
Yearly rate of depreciation
Value after one year
$40 000
Private car
$25 000
$21 250
(i) the values of p and q
(ii) the value of the taxi after two years (6 mks)
(c) GUY $1.00 = US $0.01 and EC $ 1.00 = US $0.37
Calculate the value of
(1) Guy $ 60 000 in US$ (2 mks)
(ii) US $ 925 in EC $ (2 mks)
12 mks

3. (a) (i) Find the exact value of 2.55 x 6.3 ÷ 7.5/1.26

(ii) Write your answer correct to 1 decimal place (5 mks)

(b) In January 2007, Mr. Sand took TT$800 in Caricom
Travellers' Cheques to a bank in Grenada to exchange
for Eastern Caribbean currency . Half of this amount
was in $100 cheques and the other half was in $50

He was given the information shown below:

TT $1.00 = EC $1.125

½% tax is charged on total foreign transaction

EC $0.50 stamp duty is charged for each cheque

Calculate in Eastern Caribbean currency,
(i) the tax Mr. Sand has to pay
(ii) The amount Mr. Sand received for TT$800 after paying tax and stamp duty.

Note: TT means Trinidad and Tobago

EC means Eastern Caribbean

(7 mks)
12 mks

4. (a) Calculate the exact value of 11/3 - 35/6 + 51/9 (4 mks)
(b) Write the value of 0.428 x 2.75
(i) exactly in decimal form
(ii) to two decimal places
(iii) to two significant figures (3 mks)
(c) A company sells its copiers to customers in order to make a profit of 25 % . Calculate:
(i) The price a customer pays for a copier whichthe company bought for $1700
(ii) The price the company paid for a copier which was sold to a customer for $2500 (5 mks)
12 mrks

5. (a) Using a calculator or otherwise, determine the exact valueof (3.7)2 - (6.24 ÷ 1.3) (3 mks)
(b)A total of 1200 students attended Gran Anse High School. The ratio of teachers to students is 1:30.
(i) How many teachers are there at the school? (2 mks)
Two fifths of the students own personal computers,
(ii) How many students do NOT own personal computers?
(2 mks)
Thirty percent of the students who own personal computers also own X-Boxes.
(iii) What fraction of the students in the school own X-Boxes ?
Express your answer in the lowest terms
(4 mks)
11 mks

I have a question about these questions
I would like to see more CXC number theory questions please!

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guest (not verified) 5 January 2009 - 8:39pm

What year is this past paper

madonna (not verified) 9 April 2009 - 3:29pm

it was ok

Nico Carridic (not verified) 22 April 2009 - 2:46pm

how will i kno if the answer i got the these questions are correct???

admin 22 April 2009 - 9:25pm

In reply to by Nico Carridic (not verified)

I suggest you check with a math textbook or even a study buddy friend.

Yanks121 (not verified) 23 November 2009 - 1:26pm

In reply to by admin

hey can you help me in maths with notes or any thing i have a open mind about maths!!!

guest (not verified) 11 May 2009 - 6:09pm

it was good but kind of challenging

guest (not verified) 19 May 2009 - 9:38am

this web site is a God sent i have been tryin to pass maths for the longest while and this year with this web site help I think i'll pass it now

stacy_aleema (not verified) 24 September 2009 - 1:08am

i have no idea how 2 do this, i hate math sooooooo much!!!!!!!!

guest (not verified) 24 September 2009 - 12:54pm

In reply to by stacy_aleema (not verified)

You need to find a teacher who can help you cope with the subject. Coming here and wailing how you hate it does not help you and discourages people who are trying to do it on their own. Please have some consideration.

admin 24 September 2009 - 2:01pm

In reply to by stacy_aleema (not verified)

Hello stacy-aleema,
While I understand how you feel about math, maybe there are other websites where you can find other people who also wish to vent like you about it.

The vast majority of members of this community come here because they are trying to pass their CXC subjects and want to be helpful and positive about it. If you wish to offer help to any of our members or wish to ask for help with some specific aspect of the math syllabus, please feel free to do so. If however, you wish to vent negative emotions you have about the subject, this site might be a better place to do so.

Good luck with your math exams and I do hope that you begin to have a better relationship with the subject.

guest (not verified) 24 February 2010 - 10:11pm

In reply to by stacy_aleema (not verified)

math is the best subject you just have to practice it

guest (not verified) 23 January 2011 - 11:03am

In reply to by guest (not verified)

Since u love maths an it is ur bes subject can u help me wid it cuz rite now i am doin cxc in may june dis year an maths is kilin me..........i love maths but dere's jus 1 or 2 things givin me trouble cumin down 2 d endin as cxc is rite around d coner...

roserose21 (not verified) 12 October 2009 - 3:11am

am very weak in math and am asking for some assistant please from anyone who would like to help.

Yanks121 (not verified) 5 November 2009 - 11:07am

If any one is good in maths and can help me get a one i would appreciate it my email address is thanks in advance.

shandilicious (not verified) 5 November 2009 - 4:13pm

i cant do 1 math question to safe my life!!!! HELP ME!!

Sara (not verified) 17 November 2009 - 9:35am

I find maths very stressing because i have to constantly be practicing.There are times i don't have any help and that's not good.

guest (not verified) 1 August 2010 - 12:31pm

In reply to by Sara (not verified)

Practice makes improvement so keep practicing.

Deidre16 (not verified) 23 March 2010 - 4:24pm

In reply to by Alexxia (not verified)

Actually its right!...i did that and it did add up

josette nickie (not verified) 13 December 2011 - 9:59pm

In reply to by Alexxia (not verified)

he is rite


Replace "X" with my answer which is "42.36"

I am working for a one in maths, when i work maths prob my brain gets really

guest (not verified) 20 October 2010 - 8:57pm

In reply to by Alexxia (not verified)

you should always you fractions, since they are more accurate. x=30

SSttaarr (not verified) 12 February 2012 - 7:04am

In reply to by Alexxia (not verified)

Good try....two things

1. Consider not changing the fractions to decimals (it reduces the accuracy of your answer)

2. (-1/3)x(-3)=1

I got in may-june 2009 esmanination I got a (3) three in Mathematics, is that bad? I wanted to get a (1) one.

Hey thats great, dont feel bad there is many people who take the examinations up to 3 times and there best grade is a three, you got a three on your first try thats good yo!! me on the other hand i am going take the exams in june can you help me or give me some of your notes?

hell yeah thats BAD. Duh betta man!
try again and this time put out more effort its worth it trus me

hopelin minott (not verified) 27 December 2009 - 10:11pm

these test are killing me but i am not giving up i must be victorious

shawna (not verified) 1 November 2010 - 8:38pm

AAAAH. math is killing me can sum1 help me?

taff123 (not verified) 4 January 2011 - 12:46pm

hello every one i am new to this web site and i really found it interesting after reading those positive comment that all u guys wrote ,i start to feel more confident withing myself knowing that they're positive minded people about the maths subject out there,i am presently attending a evening institution but would really appreciate some etra help in the maths subject thanks in advance.

nadiprincess (not verified) 4 January 2011 - 10:18pm

waw me 2.i hate it alot but even wen i do find dat i'm trying it's like i still don't succeed.I guess i gota try sum new method or sumthn.btw if any one is very gud at maths pliz say so.i wud luv gettin as much help as possible

guest (not verified) 7 January 2011 - 1:46pm

maths is not hard to the way people r saying its ok people who r saying sitting maths cxc this year ok.bye.........

kimlan (not verified) 3 February 2011 - 9:05pm

i'm beginin to like maths slowly but surely i'm understandin it more and more everyday

monigue (not verified) 9 March 2011 - 10:15am

its a pretty interesting subject you just have to understand it the concept of it. the subject to me is not hard a bit frustrating but not hard,and most of all you must av a little likes for the subjects to actually do it

crystal (not verified) 15 May 2014 - 3:02pm

In reply to by monigue (not verified)

i love maths its an very interesting subject but some of the questions can be really challenging at times

raffy (not verified) 26 March 2011 - 4:53pm

i hate mathematics with a passion.. it feels as if each time i try, i tend to fail, i only have about 40 days b4 i sit my CXC exams for maths and i'm really worried for myself

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