2012 ASSESSMENT TASK 2

Friday 24th February 2012

NAME________________________________

TEACHER _________________________

Time Allowed – 45 minutes

WEIGHTING: 20% towards final result

TOTAL MARKS: 55 marks

INSTRUCTIONS:

1. Attempt ALL questions.

2. The paper is in TWO sections:

Section 1: Simultaneous Equations (25 marks)

Section 2: Area and Volume (30 marks)

3. Board of Studies approved calculators are permitted.

4. Show all necessary working in the space provided.

5. Answers are to be written in blue or black pen.

Part A

Part B

Part C

Total

Section 1 Section 2

/13

/16

/7

/9

/5

/5

/25

/30

Total

/29

/16

/10

/55

1

Section 1: Simultaneous Equations

Part A

1. Solve the equations 3x + y = 22 and 2x – y = 8 simultaneously using the elimination method. 3 marks

2. Solve the pair of simultaneous equations using the substitution method. x + y = 16 y=7 2 marks

2

3. Use the graph to solve the pair of simultaneous equations y = -x and y = x – 2

y = -x

y y= x - 2

x

1 mark

4. The sum of two numbers is 25 and one number is 4 times the other. Form a pair of simultaneous equations using x and y, then solve to find the numbers.

4 marks

3

5. Solve the following simultaneous equations y=6–x y = 10 + x

3 marks

Part B

6. Solve the following simultaneous equations

3x + 4y = 29

2x – 6y = 2

3 marks

4

7. Matthew is 12cm taller than Robert and the sum of their heights is 372cm. How tall is each boy? 4 marks

Part C

8. A pair of alternate angles measure (3x + y)° and (2y + 20)° while a pair of co-interior angles measure (3x + y)° and (4x + 2y)° Find the values of x and y

5 marks

5

Section 2: Surface Area and Volume

Part A

1. Find the surface area of a cube with side length of 4cm.

2 marks

2. Find the volume of a pyramid with base area 90cm² and height 8cm.

2 marks

3. Find the total surface area of a…