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 the second 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 which the 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 value of (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!  
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I HATE MATH!!!!!!!
Amswer for math tt 800 to Ec. Total tax sandy pay was 10.5 and for 800 tt sandy got 889.5 Ec
He is absolutely rite. Even though some maths problems that i tried to get out was really hard, i kept on trying until i get it. I never fail, always tried my best.
maths is hard
I want math to be more of my best friend wow!!!!!!!
i love maths and it is easy
i love maths but i need help to improve my work i need to put effort in side of it and everything i do
maths is great
i need maths have it in 3 but want a better grade sighs
Maths is just one subject that you know for sure their is oy one correct answrr! I found the multiple choice junecxc to be a piece of cake and the long paper wasnt bad :D I havr confidence ill do well :) maths is my fave subject <3
i love maths my only problem is that i difficulty wrkin sum things out... can sumone please wrk this out for me,i would really appreciate itTT $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
the math problem that andi wrk out is in fact correct4
OMG i dont know where i went wrong,its just hard but am willing to do anything just to lear it .making up ma mine to fall in love wiyh this subject
mths isnt that hard i found out that if we dont practice and remember the formula we cant understand it
i like maths but my problem is just that i keep telling myself that i cant do it
keep trying you can make it
I love math, bt i love Spanish more, i will do anything to get a grade 1 in both subjects.
Me too, well atlest with the Spanish.. But I really need help in math..
I LOVE MATHEMATICS. IT IS GREAT FUN.
where can I go to check my answers to these questions??
ITS HARD BUT I CAN DO ALL THINGS THROUGH CHRIST MY LORD
YES THATS TRUE .
math is great its my favorite!!!!!!!!!!
REALLY....................
i love maths too but i need some help
I don't mind doing maths, its just that some of the things we are learning, when im going to need them in the work force.
I have maths in a couple of days but i think i am ready thanks to the best maths teacher Ms.Holness.
i really want some help in maths .
can u help me wid maths
yooooooooooooo everyday i practice but wen i come to do the past papers i get lost and maths is on the 18th i need help and fast
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
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
i love maths its an very interesting subject but some of the questions can be really challenging at times
i'm beginin to like maths slowly but surely i'm understandin it more and more everyday
thats very true
maths is not hard to the way people r saying its ok people who r saying sitting maths cxc this year ok.bye.........
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
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.
i pass most of these questions
i really need help with maths......just now iz cxc and and maths sending me crazy
AAAAH. math is killing me can sum1 help me?
these test are killing me but i am not giving up i must be victorious
I got in mayjune 2009 esmanination I got a (3) three in Mathematics, is that bad? I wanted to get a (1) one.
u r very lucky i get a (4) i wish i had a three
hell yeah thats BAD. Duh betta man!
try again and this time put out more effort its worth it trus me
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?
can some one solve this for me 1\2(X2)1\3(X3)=5
1/2(x2)1/3(x3)=5
.5(x2).33(x3)=5
.5x1.33x.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(42.362)1/3(42.363)=5
=21.18114.12.99
=5.07
I am working for a one in maths, when i work maths prob my brain gets really excited.....lol
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
you should always you fractions, since they are more accurate. x=30
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