1. (a) Write down all factors of 30 which are greater than 2. (b) Given the whole numbers 14472 and 91896 and required to identify the number which is divisible by both 8 and 9.

1. Write down all factors of 30 which are greater than 2. (5 mk)
2. Given the whole numbers 14472 and 91896 and required to identify the number which is divisible by both 8 and 9. (5 mk)

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2. (a) Simplify the expression 6(x + 1) + 2(x + 2y) - 8x + 10y - 2(3 + 4y). (b) (i) Use elimination method to solve the simultaneous equations . (ii) Solve the linear inequality .

1. Simplify the expression 6(x + 1) + 2(x + 2y) - 8x + 10y - 2(3 + 4y). (4 mk)
2. Use elimination method to solve the simultaneous equations (3 mk)
3. Solve the linear inequality (3 mk)

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3. (a) Draw the line segment XY, then divide it into two equal parts. (b) Construct the Hexagon with sides of length 4cm each.

1. Draw the line segment XY, then divide it into two equal parts. (5 mk)
2. Construct the Hexagon with sides of length 4cm each. (5 mk)

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4. Find the locus of a point which is equidistant from points (0, 2) and (0, -3).

1. Find the locus of a point which is equidistant from points (0, 2) and (0, -3). (10 mk)

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5. Find the coordinates of the points of intersection of the graphs of y x^2 - x - 3 and y = x + 1.

1. Find the coordinates of the points of intersection of the graphs of y = x^2 - x - 3 and y = x + 1. (10 mk)

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6. (a) (i) Draw all lines of symmetry in an equilateral triangle and (ii) determine the number of lines of symmetry in an equilateral triangle. (b) For each of the following figures, state whether they are symmetrical or not. (i) a circle and (ii) rhombus

1. Draw all lines of symmetry in an equilateral triangle. (4 mk)
2. Determine the number of lines of symmetry in an equilateral triangle. (1 mk)
3. State whether a circle is symmetrical or not. (2 mk)
4. State whether a rhombus is symmetrical or not. (3 mk)

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7. (a) If P stands for 'Anna is the tallest girl in form two' and Q stands for 'Anna is an intelligent girl in Form Two'; write verbal statements for: (i) ~ P ∧ ~ Q and (ii) P ↔ ~ P . (b) Draw an electrical circuit for the statement (p ∧ q) ∨ r . (c) Test the validity of ~ p → ~ q by using a truth table.

1. Write a verbal statement for ~ P ∧ ~ Q. (2 mk)
2. Write a verbal statement for P ↔ ~ P . (2 mk)
3. Draw an electrical circuit for the statement (p ∧ q) ∨ r . (3 mk)
4. Test the validity of ~ p → ~ q by using a truth table. (3 mk)

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