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 |
(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 - 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.
|
|||||||||||||
I got in may-june 2009 esmanination I got a (3) three in Mathematics, is that bad? I wanted to get a (1) one.
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(X-2)-1\3(X-3)=5
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
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
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.
can someone help me i need maths email me at rasheedabrown40@yahoo.com
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.
am very weak in math and am asking for some assistant please from anyone who would like to help.
i have no idea how 2 do this, i hate math sooooooo much!!!!!!!!
math is the best subject you just have to practice it
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.
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
how will i kno if the answer i got the these questions are correct???
maybe you can ask your math teacher am sure they will help you.
I suggest you check with a math textbook or even a study buddy friend.
Mary - when are you going to put more math past paper questions?
these test are killing me but i am not giving up i must be victorious