MAT 037-SET 1

SET 1 MAT 037 ESSENTIAL MATHEMATICS

1

QUESTION 1

a) Evaluate i. ( ) ( )10 5 6 2 4 2 7 13

ii.

5 2 153 5

1 22 3

iii. ( )0.6 0.4 3 1.5 30.2

+

b) Complete the following table.

Fraction Decimal Percentage (%)

2.25

716

0.89%

125

QUESTION 2

a) Given function 2g(x) 3x 8x 5= + . Find i. )2(g

ii. x if g(x) 5=

b) Solve the following inequalities:

i. 2 6(x 1) 9x + >

ii. 1 7x 5 2x 5 < +


2

QUESTION 3

a) i) Consider 3y x 62

= , complete the table below.

x 2 0 2 4 6 y

ii) Based on the table above, plot the graph of 3y x 62

= .

iii) On the same graph, draw another line that passes through ( )8,0 and ( )0, 4

iv) State the intersection point of the two lines above.

b) Find the equation of the straight line with slope 5 and passes through the point ( )4,5

c) Find the equation of a straight line that passes through the points ( )A 3,2 and ( )B 4,3 .

QUESTION 4

a) Given arithmetic sequence 4, 7, 10... (a=4, d=3). Find i) Tn=13 ii) Sn=25

b) Given geometric sequence -5, 10, -20... (a=-5, r=-2). Find, i) Tn=8 ii) Sn=10

QUESTION 5

a) Ellyna borrows RM2150 at 5.5% simple interest rate for 5 years. Find, i) The interest earned ii) The simple amount

b) Kelly saves RM1750 in a bank that offers 4.5% compounded monthly for 6 years. Find, i) The future value ii) The interest amount


3

QUESTION 6

a) Mellysa bought LCD TV at the listed price is RM3570. The retailer offer a trade discount was 7% and 10%. Find, i) The net price ii) The amount of discount

b) Zain bought a digital camera for RM1985. He wished to obtain 25% gross profit based on cost. Find, i) The selling price ii) The gross profit

END OF QUESTION PAPER


4

FORMULA LIST

1. a2

ac4bbx

2

=

2.

12

12

xx

yym

=

3. d)1n(aTn +=

4. ( )[ ]d1na22nSn +=

5. 1n

n arT =

6. ( )

1r1raS

n

n

=

1r >

7. ( )

r1r1aS

n

n

=

1r <

8. tPrI =

9. )rt1(PS +=

10. ( )ni1PS +=

11. dLPD =

12. ( )( )21 d1d1LPNP =

13. GPCSP +=

M

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MAT 037-SET 1