Year 11 General Mathematics Mid Preliminary Exam

Section I Multiple Choice. Questions 1-5 1 mark eachAnswer all questions on the multiple choice sheet provided.

1)Which of the following is the correct simplification of 8x3 – 5x3

(A) 3x6 (B) 3x3 (C) 3x (D) 3

2) Use the formula v = u + at to find v if u = 8 , a = 10 and t = 5

(A) 42 (B) 58 (C) 90 (D) 113

3) The cost (C) of hiring a limousine is C = 60 + 2.7k

Find k the number of km travelled when the cost (C) was $236.85(A) 109.9 (B) 27.7 (C) 147.7 (D) 65.5 4) 1 Astronomical Unit = 149 600 000 000 metres

In scientific notation this is written as:(A) (B)(C) (D)

5) A price increase of 20% is followed by 20% off sale. What is the

overall effective discount or increase?(A) 4% discount (B) 96% increase

(C) 0% (D) 44% increase

Year 11 General Mathematics Mid Preliminary Exam

Section II45 Marks

Answer on the lined paper provided, start a new page for each question (using only one side of each page)

Q.6 (11 marks)i)

X 0 1 2 3 4y 10 12 14 __ __

a) Write down the two missing terms.b) Write an equation in terms of x and y for this pattern, in the

form Y = _________.

c) Which is the dependent variable.d) Tear off the number plane attached to graph this equation.

ii) Place these in ascending order (from smallest to largest)

, , and

iii) Simplify a)

b)

c)

Q.7 (11 marks)i) The graph below shows the relationship between the Celsius (oC)

and Fahrenheit (oF) temperature scales from -2oC to 24oC.

a) Does this graph demonstrate a linear relationship?b) What is the vertical intercept?c) Given that 10oC is 50oF and 20oC is 68oF, predict the value of

freezing point 5oF in oC. (You may use the graph an equation or both). Justify your answer.

ii) Solve a)

b)

c)

Q8. (9 marks)i) Use the grid paper to draw a rectangular prism in oblique

projection

-20 -10 0 10 20 30 oC

0F70

60

50

40

20

10

ii) The following is a notebook entry from a surveyor’s diary, entries are in kilometres. Some of the distances are missing from the notebook and field sketch.

NotebookField sketch

a) Write down the two measurements missing from the boxes.

b) Sketch the field diagram using about 1/2 page. Mark in all necessary dimensions, including the missing distances.

c) Clearly label the area A2 and calculate its area.

d) Convert the area of A2 into ) square metres (m2)) hectares (ha).

Note: (10,000m2 = 1 ha)

Q.9 (14 marks)i) Jackie used a tape measure marked at 0.5cm intervals to

measure the length of this page.a) Use your ruler to determine the measurement she

should record?b) What is the precision of her measurement?c) What is the absolute error of her measurement?d) What are the limits of accuracy?e) What is the percentage error?

ii) Childcare workers received a 16% pay increase.They work 8 hours a day, 5 days a week.If Christine now earns $23.05/hour

18

12

14

11

9

A1

A3

A2

A4

A

B

B 35

21 15

18

11 0

A

a) What is her fortnightly pay?b) What was her hourly rate before the payrise?

iii) Jasmine plans to make the box shown below to store her topic summaries.

a) Sketch a net that Jasmine could use to make this box.

b) Hence or otherwise, find the total area of cardboard needed to make this box (ignore overlaps).

The End

30 cm

20 cm10 cm

5 cm