The document is a mathematics test containing 8 questions for a grade 11 science class. It provides the student name, ID number, and class information at the top. The test instructs students to attempt all questions, and allows the use of a calculator. It then lists the 8 questions, each worth a certain percentage of the test total and covering topics like finding equations of lines, loci of points, circumcenters of triangles, and graphing relationships.

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%)