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

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

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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.

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

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

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

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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.”

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

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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.

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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).

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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).

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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.

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

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

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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 .

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

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

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If ab=ab² 2b a*b, find  23  5.

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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.

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

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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.

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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).

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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).

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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

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