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 ?
Express your answer in the lowest terms
(4 mks)
Total
11 mks

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Fivestar

ludz (not verified) 27 April 2011 - 8:00pm

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

Danasha Malcolm (not verified) 12 May 2011 - 8:19pm

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

guest (not verified) 4 June 2011 - 4:07pm

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 (not verified) 31 August 2011 - 10:17pm

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

guest (not verified) 10 February 2012 - 4:53pm

In reply to by guest (not verified)

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

BRANDY (not verified) 24 December 2011 - 4:19pm

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

SASH (not verified) 28 February 2012 - 3:23pm

In reply to by BRANDY (not verified)

YES THATS TRUE .

likklemiss 101 (not verified) 31 March 2012 - 4:24pm

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

tavii boo (not verified) 12 May 2012 - 6:00pm

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

kelly (not verified) 6 June 2012 - 8:12pm

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

nickky (not verified) 9 June 2012 - 3:08am

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

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

Rai (not verified) 10 August 2012 - 1:45am

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

aldane (not verified) 20 February 2013 - 10:49pm

maths is great

carlesha persaud (not verified) 23 March 2013 - 7:24pm

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

guest (not verified) 17 April 2013 - 6:16pm

i love maths and it is easy

guest (not verified) 19 April 2014 - 12:48pm

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

RakhaRagoonanan (not verified) 13 June 2014 - 4:18am

maths is hard

AngenieH aka p… (not verified) 9 April 2015 - 7:58pm

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.

guest (not verified) 27 September 2015 - 12:37pm

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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