Write the next three numbers in the pattern: 4, 8, 12, 20, ....

1. Find the next three numbers in the pattern: 4, 8, 12, 20, ... (3 mk)

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Make x the subject of the formula: m = (y - b) / (x - a).

1. Make x the subject of the formula: m = (y - b) / (x - a). (3 mk)

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If the interior angles of a quadrilateral are 2x, 2x - 1°, 3x - 10°, and x - 13°, find the value of x.

1. Find the value of x if the interior angles of a quadrilateral are 2x, 2x - 1°, 3x - 10°, and x - 13°. (3 mk)

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Use divisibility rule to show whether 47187 is divisible by 9 or not.

1. Use divisibility rule to show whether 47187 is divisible by 9 or not. (2 mk)

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Write each of the following expressions in simplest form: a) 7m − 2n + 6 − 5m + 7n + 3, b) 72a²b / (-8ab^8a)

1. Write 7m − 2n + 6 − 5m + 7n + 3 in simplest form. (2 mk)
2. Write 72a²b / (-8ab^8a) in simplest form. (3 mk)

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Find x : y given that (x + y) : (2x + y) = 4 : 5.

1. Find x : y given that (x + y) : (2x + y) = 4 : 5. (3 mk)

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a) The table below shows the connectives used in logic. Write the symbol used for each connective: Equivalence, Disjunction, Condition, Conjunction. b) Write the following statement in symbolic form: “If 2 is an even number, then 5 is an odd number.”

1. Write the symbol used for each connective: Equivalence, Disjunction, Condition, Conjunction. (2 mk)
2. Write the statement “If 2 is an even number, then 5 is an odd number.” in symbolic form. (2 mk)

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Find the value of x in the equation: x/2 + 1/5 = x/5 - 2/5.

1. Find the value of x in the equation: x/2 + 1/5 = x/5 - 2/5. (3 mk)

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The period T of a simple pendulum varies directly with the square root of length l of the pendulum and when the period is 1.2s the length is 0.36m.

1. Set up the variation equation and find the constant of variation. (3 mk)
2. Find the period when the length is 0.64m. (2 mk)

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Find the equation of the locus of the points which are equidistant from the points A(1,1) and B(5,3).

1. Find the equation of the locus of the points which are equidistant from the points A(1,1) and B(5,3). (4 mk)

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Find the coordinates of the midpoint of the line segment which joins the points P(3,7) and R(5,9).

1. Find the coordinates of the midpoint of the line segment which joins the points P(3,7) and R(5,9). (2 mk)

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a) Define the term 'Non-Collinear points'. b) Find k if the points R(3,4), S(k,1) and T(15,-5) are collinear.

1. Define the term 'Non-Collinear points'. (1 mk)
2. Find k if the points R(3,4), S(k,1) and T(15,-5) are collinear. (4 mk)

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Find the number of sides of the polygon whose sum of interior angles is 540°.

1. Find the number of sides of the polygon whose sum of interior angles is 540°. (3 mk)

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Find the points of intersection of the curve y = x² and the line y = 2x + 3.

1. Find the points of intersection of the curve y = x² and the line y = 2x + 3. (4 mk)

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(a) Define the term “Contradiction” as it is used in logic. (b) Write the contrapositive of the proposition ( p ∨ q) →~ q .

1. Define the term “Contradiction” as it is used in logic. (2 mk)
2. Write the contrapositive of the proposition ( p ∨ q) →~ q . (3 mk)

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Complete the shapes of the provided figures which contained lines of symmetry indicated by dotted lines. a) (b)

1. Complete the shape with the indicated line of symmetry. (2 mk)
2. Complete the shape with the indicated line of symmetry. (2 mk)

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Find the stationary point on the quadratic function y= x² +10x+10.

1. Find the stationary point on the quadratic function y= x² +10x+10. (4 mk)

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If ab=ab² 2b a*b, find  23  5.

1. If ab=ab² 2b a*b, find  23  5. (5 mk)

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The average score of a student in four subjects was 80 marks. Find an average score of five subjects if the score in the fifth subject was 95 marks.

1. The average score of a student in four subjects was 80 marks. Find an average score of five subjects if the score in the fifth subject was 95 marks. (5 mk)

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Use graphical method to solve the following simultaneous equations: y = x² -1 y = 2x - 2

1. Solve the simultaneous equations y = x² -1 and y = 2x - 2 graphically. (10 mk)

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In a group of tourists, 37 like chicken, 48 like fish and 45 like beef, 15 like chicken and fish, 13 like fish and beef, 7 like chicken and beef and 5 like all the three” a) Draw a Venn diagram to represent the given information, b) Find the number of tourists who like Beef only......................................................................................................................... c) Calculate the number of tourists in the group if each tourist has at least one choice.

1. Draw a Venn diagram to represent the given information. (4 mk)
2. Find the number of tourists who like Beef only. (3 mk)
3. Calculate the number of tourists in the group if each tourist has at least one choice. (3 mk)

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(a) Write the converse of the statement “If x is a negative number then x is positive. (b) Show that the proposition (~ P ∧ Q) ∧ (Q → P) is a contradiction by using a truth table. (c) Draw the electrical circuit of the compound statement P ∧ R ∧ (P ∨ S).

1. Write the converse of the statement “If x is a negative number then x is positive. (2 mk)
2. Show that the proposition (~ P ∧ Q) ∧ (Q → P) is a contradiction by using a truth table. (5 mk)
3. Draw the electrical circuit of the compound statement P ∧ R ∧ (P ∨ S). (3 mk)

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(a) The line y = 2x + 4 which is parallel to another line which passes through the points (k,4) and (4,6), find the value of k . 3 (b) Find the equation of a line which is perpendicular to the line y = x4 and 4 passes through the point (1, 4).

1. The line y = 2x + 4 which is parallel to another line which passes through the points (k,4) and (4,6), find the value of k . (5 mk)
2. Find the equation of a line which is perpendicular to the line y = 3/4 x + 4 and passes through the point (1, 4). (5 mk)

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Given that y is directly proportional to the square of x and inversely proportional to z. If y =12 , when x =10 and z = 50; find y when z=50 and z=30

1. Given that y is directly proportional to the square of x and inversely proportional to z. If y =12 , when x =10 and z = 50; find y when z=50 and z=30 (10 mk)

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