2012 Year 10 MA TASK 2 Essays

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YEAR 10 MATHEMATICS
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…