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})  (1^{1}/_{3})^{2} 
(4 mks)  
(ii) correct to three significant figures, the value of 
(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 

(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.  


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 He was given the information shown below:




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}  3^{5/6 + 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 XBoxes.  
(iii) What fraction of the students in the school own XBoxes ? Express your answer in the lowest terms 
(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. 
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.
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.
Re: maths sucks
Hello stacyaleema,
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.
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...
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.
Re: CXC math past paper type exam questions: Number theory
can someone help me i need maths email me at rasheedabrown40@yahoo.com
Re: CXC math past paper type exam questions: Number theory
can some one solve this for me 1\2(X2)1\3(X3)=5
Re: Re: CXC math past paper type exam questions: Number theory
1/2 (x2)  1/3 (x3) = 5
multiply both sides by 6 (LCM)
3(x2)2(x3) = 30
3x  6 2x + 6 = 30
3x  2x 6 + 6 = 30
x = 30
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
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.
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
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.........
i'm beginin to like maths
i'm beginin to like maths slowly but surely i'm understandin it more and more everyday
mahematics
i love maths its an very interesting subject but some of the questions can be really challenging at times
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
More math past paper questions
Mary  when are you going to put more math past paper questions?