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

 
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Mathhater's picture
Mathhater (not verified)
I HATE MATH!!!!!!!

I HATE MATH!!!!!!!

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guest (not verified)
Amswer for math tt 800 to Ec.

Amswer for math tt 800 to Ec. Total tax sandy pay was 10.5 and for 800 tt sandy got 889.5 Ec

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AngenieH aka princessmia (not verified)
maths

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.

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RakhaRagoonanan (not verified)
maths

maths is hard

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guest (not verified)
math

I want math to be more of my best friend wow!!!!!!!

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guest (not verified)
mathematics

i love maths and it is easy

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carlesha persaud (not verified)
maths

i love maths but i need help to improve my work i need to put effort in side of it and everything i do

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aldane (not verified)
mathematics

maths is great

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guest (not verified)
i need maths have it in 3 but

i need maths have it in 3 but want a better grade sighs

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Rai (not verified)
I LOVE Maths

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

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sandri (not verified)
maths

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 it-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

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sandri (not verified)
maths

the math problem that andi wrk out is in fact correct4

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nickky (not verified)
mathematics

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

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kelly (not verified)
mths isnt that hard i found

mths isnt that hard i found out that if we dont practice and remember the formula we cant understand it

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tavii boo (not verified)
i like maths but my problem

i like maths but my problem is just that i keep telling myself that i cant do it

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keneil harriott (not verified)
mathematics

keep trying you can make it

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likklemiss 101 (not verified)
Spanish, Mathematics

I love math, bt i love Spanish more, i will do anything to get a grade 1 in both subjects.

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Marble23 (not verified)
Me too, well atlest with the

Me too, well atlest with the Spanish.. But I really need help in math..

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SASH (not verified)
I LOVE MATHEMATICS. IT IS

I LOVE MATHEMATICS. IT IS GREAT FUN.

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guest (not verified)
where can I go to check my

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

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BRANDY (not verified)
MATHS

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

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SASH (not verified)
YES THATS TRUE .

YES THATS TRUE .

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guest (not verified)
maths

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

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guest (not verified)
MATH

REALLY....................

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guest (not verified)
i love maths too but i need

i love maths too but i need some help

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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.

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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.

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keerah malcolm (not verified)
mathematics

i really want some help in maths .

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guest (not verified)
hey

can u help me wid maths

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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

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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

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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

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crystal (not verified)
mahematics

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

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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

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guest (not verified)
maths

thats very true

Mathhater'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.........

Mathhater's picture
nadiprincess (not verified)
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

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taff123 (not verified)
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.

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guest (not verified)
this is not all dat harh

i pass most of these questions

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sugarboygilkes (not verified)
math

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

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shawna (not verified)
math

AAAAH. math is killing me can sum1 help me?

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hopelin minott (not verified)
maths

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

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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.

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josette nickie (not verified)
maths

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

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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

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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?

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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

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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

Mathhater's picture
SSttaarr (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

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

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

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