PART 1 (Calculators not allowed) Section 1 - Algebra (25 total marks) 1. Simplify: 1 mark each: Criterion A: Level 3-4 a. X x d. x X x - 1 Ble rood of & bbA b. 20 X 24 e. 2 (x + 7) C. (2xy)* f. 11 x 110 2. Factorize 2 mark each: Criterion A: Level 5-6 a. 3x + 12x c. 4x + 24y b. 14x - 6x-2 mark: Criterion A: Level 5-6 3. Write down the equation which results when you: a. Divide both sides of 4x = - 40 by 4 b. Add 3 to both sides of x - 3 = 5 4. Solve for X: 2 mark each: Criterion A: Level 5-6 a. 6 + 3x = 0 C. 11+4x 3 =- 11 . 7 - 5 =65. Solve: 2.5 mark each: Criterion A: Level 7-8 a. 2d + 3(d - 1) = 7 b. 4(3y - 1) = 2y + 1 Section 2 - Patterns (15 total marks) 1. Write the formula that connects input and output number: 2.5 mark- Criterion B: Level 5-6 Input (n) Output (M) 1 4 2 5 3 6 4 72. Write the formula connecting the variables: 2.5 mark- Criterion B: Level 5-6 d 1 3 4 5 6 4 10 13 16 3. Consider the formula P = 2t + 7. Find the value of: 2 mark- Criterion B: Level 5-6 a. P when t = 6 b. T when P = 254. The cost of hiring a bus for p people is given by C = 12p + 80 dollars. Find the cost of hiring the bus for: 2 mark- Criterion B: Level 5-6 a. 12 people b. 20 people c. 45 people 5. Consider the pattern: 5 mark- Criterion B: Level 7-8 a. Draw the next two figures in the pattern. b. Copy and complete: Figure number (n) 1 2 3 4 5 Number of matchsticks (M) 3 c. Find the formula connecting M and n. d. Find the number of matchsticks required for the 10 figure.Section 3 - Pythagoras' Theorem (15 marks total) 1. Find the length of third side of each right angled triangle: 2 mark each: Criterion A: Level 5-6 b a 12 cm WOE 5 cm 3 cm 10 cm C 9 cm2. Joe turns 6 km west and then 4 km south. How far is he now from his starting point? 2 mark: Criterion D: Level 5-6 3. Find the length of a diagonal of a square courtyard with side length 4.6 m. 2 mark: Criterion D: Level 5-6 4.6 m4. A log is 60 cm in diameter. Find the dimensions of the largest square section beam which can be cut from the log. 2 mark: Criterion D: Level 7-8Section 4 - Coordinate Geometry (20 marks total) 1. On the same set of axes, plot the points: 2 mark: Criterion D: Level 5-6 A(2,5), B(4, -2), C(-5,0), D(-1,-4), E(-2,3)2. On the same set of axes, plot the points and then draw a straight line: A(-2,-5), B(-1,-3), C(0,-1), D(1, 1), E(2,3) 2 mark: Criterion C: Level 5-63. Draw a line through the point (1, 1), with gradient -. 2 mark: Criterion C: Level 5-6 4. Write down the y-intercept of the line with equation: 2 mark: Criterion A: Level 3-4 a. y = 2x - 1 b. y = -x- 3 5. State the gradient of the line with equation: 2 mark: Criterion A: Level 5-6 a. y = 7x - 5 b. y = 11 - 3x 6. Find the x - intercept of the line with equation y = 4x - 3. 2 mark: Criterion A: Level 5-67. Draw the graphs of each line on the same set of axes. Hence find the coordinates of any points where the lines intersect. 2 mark: Criterion C: Level 5-6 a. y = x + 1, y = - x+ 3 b. y = - 3x, y = - >x- 38. Draw the graph of the line with: 2 mark: Criterion C: Level 5-6 a. X-intercept 4 and y-intercept 3