(a) You are given the following numbers; 14932, 438454, 1946, 23842, 11748, 254174, 746164, 1914 determine which numbers are exactly divisible by 4. (b) Find the next three numbers from the following given pattern 2, 9, 20, 35… (c) You are given the formula $S_n = \frac{n}{2}(2a + (n-1)d)$. Find the 14th term.

1. You are given the following numbers; 14932, 438454, 1946, 23842, 11748, 254174, 746164, 1914 determine which numbers are exactly divisible by 4. (0 mk)
2. Find the next three numbers from the following given pattern 2, 9, 20, 35… (0 mk)
3. You are given the formula $S_n = \frac{n}{2}(2a + (n-1)d)$. Find the 14th term. (0 mk)

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(a) Solve for x if $2^{x+2} = 32$. (b) Express h as a subject of the formula given that $g = \frac{1}{2}\sqrt{\frac{L}{h}}$. (c) Use graphical method to solve the system of simultaneous equations.

1. Solve for x if $2^{x+2} = 32$. (0 mk)
2. Express h as a subject of the formula given that $g = \frac{1}{2}\sqrt{\frac{L}{h}}$. (0 mk)
3. Use graphical method to solve the system of simultaneous equations. (0 mk)

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(a) (i) Define the term quadrilateral. (ii) Calculate the number of sides of the polygon given that each interior angle of the regular polygon is 150o. (b) You are given the interior angles of a hexagon as 100o, 110o, 120o and 128o, Find the size of the other two angles which are equal.

1. Calculate the number of sides of the polygon given that each interior angle of the regular polygon is 150o. (0 mk)
2. You are given the interior angles of a hexagon as 100o, 110o, 120o and 128o, Find the size of the other two angles which are equal. (0 mk)

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(a) Draw the locus of (x,y): $y = -x^2 + 1$, and state the value of y which makes the locus to be defined. (b) Find and draw the loci of a moving point whose distance from y – axis is equal to its distance from the x – axis.

1. Draw the locus of (x,y): $y = -x^2 + 1$, and state the value of y which makes the locus to be defined. (0 mk)
2. Find and draw the loci of a moving point whose distance from y – axis is equal to its distance from the x – axis. (0 mk)

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Given that A(1,2), B(3,1), C(-3,2) and D(3,-1) are some of the vertices of a six sided polygon. Draw the complete figure on x-y plane so that x-axis is the only line of symmetry.

1. Given that A(1,2), B(3,1), C(-3,2) and D(3,-1) are some of the vertices of a six sided polygon. Draw the complete figure on x-y plane so that x-axis is the only line of symmetry. (0 mk)
2. Copy the given shape and complete it so that the dotted line to become line of symmetry. (0 mk)
3. Given that A(1,2), B(3,1), C(-3,2) and D(3,-1) are some of the vertices of a six sided polygon. Draw the complete figure on x-y plane so that x-axis is the only line of symmetry. (0 mk)
4. Add one line to the given diagram so that the resulting figure will have rotational symmetry but no line of symmetry. (0 mk)
5. Draw the line of symmetry on the given figure. (0 mk)
6. Copy the given shape and complete it so that the dotted line to become line of symmetry. (0 mk)

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(ii) Test the validity of the argument: “If I like Mathematics, then I will study. Either I study or I fail. Therefore, if I fail then I do not like Mathematics.

1. use truth table to verify the equivalence of the following logical statement. (0 mk)
2. Test the validity of the argument: “If I like Mathematics, then I will study. Either I study or I fail. Therefore, if I fail then I do not like Mathematics. (0 mk)

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(b) Given that, y varies directly as x and inversely as z. If x varies inversely as y^2, prove that z^2 varies directly as x^3.

1. Given that, y varies directly as x and inversely as z. If x varies inversely as y2, prove that z2 varies directly as x3. (0 mk)

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(c) If A = B = C = List the elements of A, B, C, and show their relationship in a Venn diagrams.

1. Show this information in a Venn diagram. (0 mk)
2. How many members selected carrots only or tomatoes only? (0 mk)

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(i) Find the value of k so that (1, k+2), (4, 3k) and (10,6k) are collinear. (ii) Find k so that ky + 3x = 2 is parallel to y = ½ x – 4

1. Find the system of simultaneous equations satisfying the given graph. (0 mk)
2. Find the value of k so that (1, k+2), (4, 3k) and (10,6k) are collinear. (0 mk)
3. Find k so that ky + 3x = 2 is parallel to y = ½ x – 4 (0 mk)
4. Find k so that ky + 3x = 2 is parallel to y = ½ x – 4 (0 mk)

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