1. Foon Yew High School Johor Bahru
Senior One Science
Mathematics Unified Test (1)
16-2-2012 7.30am-8.15am
Name:_________________( ) Student ID No. : ________________
Class : Sen ior One Science ( )
Calculator can be used.
Attempt all the questions.
1. The vertices of ABC are A(0, 5), B( 2,1) and C (10, k ). Find the value of k if ABC 90 .
(12%)
2. Find the area of the pentagon with vertices (2, 3), (3, 1), (2, 0), ( 1,1) and ( 2, 1). (12%)
3. Find the equation of the line passing through the point ( 2,3) and parallel to the line 2 x 3 y 3 0 .
(12%)
4. Find the equation of the bisector of the of the acute angle between the lines 5 x 12 y 10 0 and
3x 4 y 20 0. (12%)
5. Find the locus of the point P which moves such that its distance from the point (2, 1) is constant and
equal to 3 units. (13%)
6. Find the circumcentre of a given triangle whose vertices are A(1, 2), B(3, 4) and C (0,3) . (13%)
7. The graph of x2 y against x is a straight line passing through ( 2,1) and (2, 7) .Find
10
(a) the value of x when y
x2
(b) y in terms of x. (13%)
8. The midpoint of the line joining the points A(7,3) and B( 1, 5) is M .Find both values of k if the
straight line joining M to the point P(k 2 , k ) is perpendicular to AB . (13%)