1. (a) Determine the first 5 prime numbers of Fibonacci sequence (b) (i) Find the next four numbers in the following sequence (c) (ii) Use divisibility rule whether 9142 is divisible by 5, 6, 7, and 9 or not.

1. Determine the first 5 prime numbers of Fibonacci sequence (1 mk)
2. Use divisibility rule whether 9142 is divisible by 5, 6, 7, and 9 or not. (1 mk)

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2. (a) Given that A f  p  , express f in terms of A, b and p b f  p (b) use elimination method to solve the following simultaneous equation: { }

1. Given that A f  p  , express f in terms of A, b and p b f  p (1 mk)
2. use elimination method to solve the following simultaneous equation: { } (1 mk)

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3. (a) The sum of interior angles of a regular polygon is 1440° . Determine: (i) the number of sides of the polygon. (ii) the name of the polygon. (iii) the maximum number of triangles that can be formed from the polygon. (b) If the exterior angle of a regular polygon is 30° less than a half of the interior angle, calculate: (i) the size of the interior angle. (ii) the size of the exterior angle. (iii) the number of angles of regular polygon.

1. The sum of interior angles of a regular polygon is 1440° . Determine the maximum number of triangles that can be formed from the polygon. (1 mk)
2. If the exterior angle of a regular polygon is 30° less than a half of the interior angle, calculate the number of angles of regular polygon. (1 mk)

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4. (a) A point Q  x,y  moves in such a way that its distance from the point B  3,4  is twice its distance from the line x 3. Find the locus of the point Q  x,y . (b) A point P  x, y  moves in such a way that its distance from the point S  2,3  is equal to its distance from the point of intersection of the lines whose equations are x2y  4 and 2x3y 15.

1. A point Q  x,y  moves in such a way that its distance from the point B  3,4  is twice its distance from the line x 3. Find the locus of the point Q  x,y . (1 mk)
2. A point P  x, y  moves in such a way that its distance from the point S  2,3  is equal to its distance from the point of intersection of the lines whose equations are x2y  4 and 2x3y 15. (1 mk)

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5. (a) Three points A  8,10 , B  5,n  C  0,2  are collinear. Find the value of n. (b) A line passing through the point A  4,6  crosses y-axis at point P. If the line is parallel to another line whose equation is 2y  x2, determine the coordinates of point P.

1. Three points A  8,10 , B  5,n  C  0,2  are collinear. Find the value of n. (1 mk)
2. A line passing through the point A  4,6  crosses y-axis at point P. If the line is parallel to another line whose equation is 2y  x2, determine the coordinates of point P. (1 mk)

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Draw the graph of y  x2 7x18 and y  x2 for 1 x  6 on the same xy-plane, in the following graphical space.Hence use the obtained graph to find the common solution of the given equations.

1. Draw the graph of y  x2 7x18 and y  x2 for 1 x  6 on the same xy-plane. (0 mk)
2. Use the obtained graph to find the common solution of the given equations. (0 mk)

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(b) State the order of rotational symmetry for each of the following polygons: (i) Circle (ii) Equilateral triangle (iii) Rectangle (iv) Square

1. Draw and state the number of line(s) of symmetry. (0 mk)
2. State the order of rotational symmetry for a Square. (0 mk)

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(b) Use a truth table to test the validity of the argument “If it rains or no one comes, the game will not take place. The game was a success. Therefore, it did not rain”.

1. Construct a truth table for  p  p q  q . (0 mk)
2. Use a truth table to test the validity of the argument “If it rains or no one comes, the game will not take place. The game was a success. Therefore, it did not rain”. (0 mk)

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b) Use the results of part (a) to determine the number of students who study: (i) Biology only. (ii) Physics or Chemistry. (iii) None of the three subjects. (iv) Physics but not Chemistry.

1. Represent this information using a Venn diagram. (0 mk)
2. Determine the number of students who study Physics but not Chemistry. (0 mk)

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