# 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

Calculate
(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. Calculate (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) Total 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 Taxi$40 000 12% $p Private car$25 000 q% $21 250 Calculate (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) Total 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
cheques.

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)
Total
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)
Total
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 ?
(4 mks)
Total
11 mks

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

To see more CXC past paper type number theory questions, You must login or create an account with caribexams.org.

Fivestar

mary 12 November 2008 - 5:25pm

### More math past paper questions

Mary - when are you going to put more math past paper questions?

### Re: more math past paper type questions

Hello Mary, we are working on it as fast as we can. I cannot tell you an exact date but I suggest that you check back often.

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

### Math

What year is this past paper

guest (not verified) 5 April 2009 - 3:24pm

### Mathematics

its ok

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

### it was ok

it was ok

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

### how will i kno

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)

### Re:how will I know

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

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

### help

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

guest (not verified) 25 April 2009 - 9:34pm

In reply to by Nico Carridic (not verified)

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

### mathematics

it was good but kind of challenging

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

### maths

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

### maths sucks!!!

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)

### If you feel this way

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.

SSttaarr (not verified) 12 February 2012 - 7:10am

In reply to by guest (not verified)

### Maybe someone would see

Maybe someone would see his/her pain and help him/her...

admin 24 September 2009 - 2:01pm

In reply to by stacy_aleema (not verified)

### Re: maths sucks

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)

### Re: maths sucks!!!

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)

### Mathematics

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...

nadiprincess (not verified) 4 January 2011 - 10:16pm

In reply to by stacy_aleema (not verified)

### lol.i agree

lol.i agree

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

### hi

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

### maths help

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

rasheeda brown (not verified) 5 November 2009 - 3:13pm

### Re: CXC math past paper type exam questions: Number theory

can someone help me i need maths email me at rasheedabrown40@yahoo.com

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

### HELP

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

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

### Maths

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)

### Re: Maths

Practice makes improvement so keep practicing.

rellimjulian (not verified) 17 November 2009 - 10:37am

### Re: CXC math past paper type exam questions: Number theory

can some one solve this for me 1\2(X-2)-1\3(X-3)=5

### Re: Re: CXC math past paper type exam questions: Number theory

1/2 (x-2) - 1/3 (x-3) = 5
multiply both sides by 6 (LCM)
3(x-2)-2(x-3) = 30
3x - 6 -2x + 6 = 30
3x - 2x -6 + 6 = 30
x = 30

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

In reply to by Alexxia (not verified)

### Math prob number theory

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

### Maths

1/2(x-2)-1/3(x-3)=5
.5(x-2)-.33(x-3)=5
.5x-1-.33x-.99=5
.5x-.33x=5+1+.99
0.165x=5.99
x=42.36

Replace "X" with my answer which is "42.36"
1/2(42.36-2)-1/3(42.36-3)=5
=21.18-1-14.12-.99
=5.07

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

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

In reply to by Alexxia (not verified)

### you should always you

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 things1.

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

20 November 2009 - 6:34pm

### Maths

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

### help

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?

### Re: Maths

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

### maths

u r very lucky i get a (4) i wish i had a three

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

### maths

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

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

### math

AAAAH. math is killing me can sum1 help me?

guest (not verified) 20 December 2010 - 7:38pm

### this is not all dat harh

i pass most of these questions

### math

i really need help with maths......just now iz cxc and and maths sending me crazy

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

### mathematics

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

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

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

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

### maths

thats very true

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

### maths

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)

### mahematics

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

### mathematics

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