No

Tanjong Katong Secondary School

A Maths Sec 4 Prelim 2010 Paper 2 Solution

No.Solutions

1.(a)

(b)

Let

(c)Graph of

y

1

x

1

2. (a)LHS =

=

=

=

= RHS

(b)

3.(a)At t = 0 s, v = -10

(b)v = 0

or s

At ,

EMBED Equation.3

(c)

At , m

At , m

Total distance = +(

EMBED Equation.3 ) = m

(d)Average speed =

EMBED Equation.3 =

EMBED Equation.3

4.(a)Subst into

(shown)

(b)Area = +

= +

= 8.71 square units.

5.(a)

(b)

(c)

At stationary pt,

(d)

At , (>0)

V is minimum.

6.(a),

Ans: (8,4)

(b)New centre = (10,4)

Equation:

(c)His arrow will land 3m to the right of the centre of the actual target board.

7.(a)Let B =

,

Coordinates of B = (5,3)

(b)Area of (EBD =

=

= 9.5 units2

(c),

Eqn of BC:

(d)

DBC =

DBC =

8.(a)

EMBED Equation.3

(shown)

(b)

= +

=

= 116

9.(a)

(b)(i)Area of ABC =

=

(ii)Area of CAD =

=

(c)Area of DBA =

=

10.

(a) (common angle)

(Alt. Segment Thm)

ATD is similar to BTA.

(b)By Tangent-Secant Thm,

As ,

(Proven)

(c)

11(a)AO = , FO =

AF = AO FO =

,

AF =

(b)Area of AFC = 0.5 (FC) (AF)

= 0.5 x

EMBED Equation.3 =

(c)Max area = 42.25

12.(i)

1.73

2.45

3.00

3.46

3.87

4.37

5.34

6.05

6.66

7.18

Proper scale and labeling of axes

Points

Best fit line

Transform eqn to correct form

(ii)

(iii)

PAGE 6

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