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 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
          (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                                 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 X-Boxes.  
       (iii)   What fraction of the students in the school own                X-Boxes ?
               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.

 

 
3.339285
Average: 3.3 (56 votes)
Your rating: None
guest's picture
guest (not verified)
where can I go to check my

where can I go to check my answers to these questions??

guest's picture
BRANDY (not verified)
MATHS

ITS HARD BUT I CAN DO ALL THINGS THROUGH CHRIST MY LORD

guest's picture
guest (not verified)
maths

math is great its my favorite!!!!!!!!!!

guest's picture
guest (not verified)
i love maths too but i need

i love maths too but i need some help

guest's picture
guest (not verified)
Mathematics

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.

guest's picture
Danasha Malcolm (not verified)
I have maths in a couple of

I have maths in a couple of days but i think i am ready thanks to the best maths teacher Ms.Holness.

guest's picture
keerah malcolm (not verified)
mathematics

i really want some help in maths .

guest's picture
guest (not verified)
hey

can u help me wid maths

guest's picture
ludz (not verified)
mathematics

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

guest's picture
raffy (not verified)
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

guest's picture
monigue (not verified)
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

guest's picture
kimlan (not verified)
i'm beginin to like maths

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

guest's picture
guest (not verified)
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.........

nadiprincess's picture
nadiprincess
Offline
Joined: 13 Nov 2010
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

N.G

taff123's picture
taff123
Offline
Joined: 4 Jan 2011
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.

Tgwhyte

guest's picture
guest (not verified)
this is not all dat harh

i pass most of these questions

guest's picture
sugarboygilkes (not verified)
math

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

guest's picture
shawna (not verified)
math

AAAAH. math is killing me can sum1 help me?

guest's picture
hopelin minott (not verified)
maths

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

guest's picture
Brayan (not verified)
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.

guest's picture
josette nickie (not verified)
maths

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

guest's picture
guest (not verified)
Re: Maths

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

guest's picture
Yanks121 (not verified)
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?

guest's picture
rellimjulian (not verified)
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

guest's picture
Alexxia (not verified)
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's picture
guest (not verified)
you should always you

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

guest's picture
andi (not verified)
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

guest's picture
Alexxia (not verified)
Maths

Ur Answer is wrong when work prob like those u replace the symbol with your answer and see if it adds up

guest's picture
josette nickie (not verified)
maths

he is rite

guest's picture
Deidre16 (not verified)
Math prob number theory

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

guest's picture
Sara (not verified)
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's picture
guest (not verified)
Re: Maths

Practice makes improvement so keep practicing.

guest's picture
shandilicious (not verified)
HELP

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

guest's picture
rasheeda brown (not verified)
Re: CXC math past paper type exam questions: Number theory

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

guest's picture
guest (not verified)
math

hey just take it easy!!... im'a do it this year.. so if i have the frame of mind to do it... so can u@@!!

guest's picture
Yanks121 (not verified)
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.

guest's picture
roserose21 (not verified)
hi

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

guest's picture
stacy_aleema (not verified)
maths sucks!!!

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

nadiprincess's picture
nadiprincess
Offline
Joined: 13 Nov 2010
lol.i agree

lol.i agree

N.G

guest's picture
guest (not verified)
Re: maths sucks!!!

math is the best subject you just have to practice it

guest's picture
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...

admin's picture
admin
Offline
Joined: 23 Oct 2007
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's picture
guest (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.

guest's picture
guest (not verified)
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

guest's picture
guest (not verified)
mathematics

it was good but kind of challenging

guest's picture
Nico Carridic (not verified)
how will i kno

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

guest's picture
guest (not verified)
maybe you can ask your math

maybe you can ask your math teacher am sure they will help you.

admin's picture
admin
Offline
Joined: 23 Oct 2007
Re:how will I know

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

guest's picture
Yanks121 (not verified)
help

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

guest's picture
madonna (not verified)
it was ok

it was ok

Post new comment

The content of this field is kept private and will not be shown publicly.
  • Web page addresses and e-mail addresses turn into links automatically.
  • Allowed HTML tags: <a> <em> <strong> <cite> <code> <ul> <ol> <li> <dl> <dt> <dd>
  • Lines and paragraphs break automatically.

More information about formatting options

CAPTCHA
This question is to test whether you are a human visitor to caribexams and to prevent automated spam submissions.
Image CAPTCHA
Enter the characters shown in the image.