foundation mathematics-may 02, 2011

7/30/2019 Foundation Mathematics-MAY 02, 2011

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UNIVERSITY COLLEGE OF THE CARIBBEANIncorporating Institute Of Management Sciences &

Institute Of Management & ProductionA Member of the Commonwealth & OAS Consortia of Universities

FOUNDATION MATHEMATICS

CENTRE : WAC & MVILLE CAMPUSES

DATE : MAY 02, 2011

TIME : 6:00 PM

DURATION: 2 HOURS

INSTRUCTIONS:

1.Please read all instructions carefully before attempting any

question.

2.This paper consists of four (4) printed pages and five (5) questions.

3.Candidates are required to answer any three (3) questions.

ALL QUESTIONS MUST BE ANSWERED IN THE ANSWER BOOKLET PLEASE ENSURE THAT YOU NUMBER YOUR QUESTIONS CORRECTLY. CLEARLY WRITE THE NUMBER OF THE QUESTION ON EACH OF THE RELEVANT PAGES. WHERE QUESTIONS HAVE MULTIPLE PARTS, ALL PARTS MUST BE ANSWERED. START THE RESPONSE TO EACH QUESTION ON A NEW PAGE.

DO NOT OPEN YOUR QUESTION PAPER OR BEGIN

WRITING UNTIL YOU ARE TOLD TO DO SO


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Page 2 of4

QUESTION 1

a) Translate the following phrase into an algebraic expression: Four times anumber x minus seven times a number y divided by five times a number z.

b) Given thatp = 3 and r = 2, calculate the value of 2 32 3p r .c) Simplify:

(i) 2( 3 ) 3 ( 5)x y x y+ + + (ii)

4

1

4

32 ++

+ xx

(iii)6

12

6

xx

(iv) 5 3 2 19 4

x +

(3+3+4+3+3pts)

QUESTION 2

Factorize the following completely:

(i) 2 33 9x x+ (ii) x1512+ (iii) 32 264 mxmxmx ++

(v) + $ + 3 + 4$(vi) 2 3 4x x

(3+2+4+4+3pts)


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Page 3 of4

QUESTION 3

a. A man invested $600 at 8% per annum simple interest for 10 years.Calculate: (2+2 pts)

i. the simple interest payableii. the total amount of money the man collected at the end of the 5-year

period.

b. The marked price of a freezer is $ 3000. There is a discount of 15% for cashpayment. To obtain the freezer on hire purchase a deposit of $595.00 and 18

monthly installments of $159.50 each are required.

Calculate: (2+3+2 pts)

i. the cash priceii. the total amount to be paid if bought on hire purchase

iii. the difference between the cash price and the hire purchase price.c. When a sum of money, $P, is invested at R% per annum simple interest, its value

$A after T years is given by 1100

RTA P

= +

.

i. Make T the subject of this formula.ii. A man invests $25,000.00 at 9% per annum. After how many

years will its value be $43,000.00?

(2+3 pts)

QUESTION 4

Given that 3

2 =xxy

i) Copy and complete the table below for -3 4 x x -3 -2 -1 0 1 2 3 4

y 3 -1

(4 pts)

ii) Using a scale of 2cm to represent 1 unit on the x-axis and 1cm torepresent 1 unit on the y- axis, draw the graph of 32 = xxy

for values ofx, -3 4 x (4 pts)

iii) Using your graph, read off the points when the curve cuts the x-axis.(2 pts)

c) A line passes through the points (2 , 6) and ( 1 , 3)

i) Find the slope of the line (3 pts)

iii) Give the equation of the line that passes through points (2 , 6)

and ( 1 , 3). (3 pts)


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Page 4 of4

QUESTION 5a) In a class of 30 students, 10 speak Spanish, 20 speak French and 8 speak neither

Spanish nor French. Draw a Venn diagram to represent the information above.

(4 pts)

b) From the Venn diagram answer the following questions:i) How many students speak both languages? (2 pts)ii) How many students speak Spanish only? (1 pt)iii) How many students speak French only? (1 pt)

c) Solve the following equations below:

(i) )11(2)54(23 xxx = (3 pts)(ii) 1254 += xx (3 pts)(iii) 41

2

1=+x (2 pts)

END OF QUESTION PAPER

foundation mathematics-may 02, 2011

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