(a) Write the first four multiples of 17. (b) Identify the numbers which are divisible by 3 among 8476, 942, 5181, 7124, 35768 and 91284. (c) Predict the next two patterns of triangular numbers as follows:

1. Write the first four multiples of 17. (0 mk)
2. Identify the numbers which are divisible by 3 among 8476, 942, 5181, 7124, 35768 and 91284. (0 mk)
3. Predict the next two patterns of triangular numbers as follows: (0 mk)

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(a) Make b the subject from the formula (b) Determine the value of n by using the formula , where c = 1.5, E = 3, R = 6.3 and r = 1.1 (c) Show the following inequalities on a number line (i) (ii)

1. Make b the subject from the formula (0 mk)
2. Determine the value of n by using the formula , where c = 1.5, E = 3, R = 6.3 and r = 1.1 (0 mk)
3. Show the following inequalities on a number line (i) (ii) (0 mk)

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(a) Find the sum of interior angles of a regular pentagon and hence determine the size of each interior angle. (b) Draw a regular hexagon with 5cm each side.

1. Find the sum of interior angles of a regular pentagon and hence determine the size of each interior angle. (0 mk)
2. Draw a regular hexagon with 5cm each side. (0 mk)

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(a) Find the equation of the locus of the points which have equal distance from points A (-5, 8) and B (6, 7). (b) Find the equation of the locus of point P which its distance from point A (−1,−3) is twice its distance from point B (2,4).

1. Find the equation of the locus of the points which have equal distance from points A (-5, 8) and B (6, 7). (0 mk)
2. Find the equation of the locus of point P which its distance from point A (−1,−3) is twice its distance from point B (2,4). (0 mk)

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(a) Find the value of r from the line joining point P(r,3) to the point Q(2,−3) which is perpendicular to the line joining point R(10,1) to point Q. (b) Find the equation of a line passing through the point (1,−3) which is parallel to the line 2x + 3y − 4 = 0.

1. Find the value of r from the line joining point P(r,3) to the point Q(2,−3) which is perpendicular to the line joining point R(10,1) to point Q. (0 mk)
2. Find the equation of a line passing through the point (1,−3) which is parallel to the line 2x + 3y − 4 = 0. (0 mk)

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(a) Find the number of lines of symmetry for the following figures: (b) Draw the lines of symmetry on the figures in part (a).

1. Find the number of lines of symmetry for the following figures: (0 mk)
2. Draw the lines of symmetry on the figures in part (a). (0 mk)

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Let p be “He is tall” and q be “He is handsome”. Write the following statements in symbolic form: (i) He is tall or he is short and handsome. (ii) It is not true that he is short or not handsome. (iii) He is handsome if and only if he is tall. (iv) If he is handsome then he is either tall or short. (b) (i) Construct a truth table of the compound proposition ( p ∨ q) ∧( : p ∨ q) (ii) Show whether the logical statement ( p→q)∨( q→ p) is tautology or not.

1. Let p be “He is tall” and q be “He is handsome”. Write the following statements in symbolic form: (i) He is tall or he is short and handsome. (ii) It is not true that he is short or not handsome. (iii) He is handsome if and only if he is tall. (iv) If he is handsome then he is either tall or short. (0 mk)
2. (i) Construct a truth table of the compound proposition ( p ∨ q) ∧( : p ∨ q) (ii) Show whether the logical statement ( p→q)∨( q→ p) is tautology or not. (0 mk)
3. Let p be “He is tall” and q be “He is handsome”. Write the following statements in symbolic form: (iii) He is handsome if and only if he is tall. (0 mk)

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(a) Given that variable y varies jointly as x and z. If y = 10, x = 4 and z = 5, find the value of z when x = 2, and y = 5. (b) If 2 students can type 210 pages in 3 days, find the number of students that are needed to type 700 pages in 2 days.

1. Given that variable y varies jointly as x and z. If y = 10, x = 4 and z = 5, find the value of z when x = 2, and y = 5. (0 mk)
2. If 2 students can type 210 pages in 3 days, find the number of students that are needed to type 700 pages in 2 days. (0 mk)

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In a group of 450 students; 100 play volleyball, 70 play athletics, 200 play drama, 90 play volleyball and participate in drama, 30 play volleyball and athletics, 45 athletics and participate in drama, 220 do not participate in any game. Use the general formula of union of sets to find the number of participants in all games.

1. In a group of 450 students; 100 play volleyball, 70 play athletics, 200 play drama, 90 play volleyball and participate in drama, 30 play volleyball and athletics, 45 athletics and participate in drama, 220 do not participate in any game. Use the general formula of union of sets to find the number of participants in all games. (0 mk)

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Solve the following set of equations simultaneously using substitution method.

1. Solve the following set of equations simultaneously using substitution method. (0 mk)

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