Section AShade in the correct answer on the answer sheet provided

Year 10 General Maths Exam 2014Page 1

  1. The histogram shows the number of persons employed per family in a group of families surveyed.

How many families had no-one employed?

A0

B4

C8

D12

E20

2.From the histogram in question 1, how many families were surveyed?

A8

B12

C20

D40

E50

3.The interquartile range of the data

10, 7, 3, 4, 4, 6, 7, 3, 8, 0 is:

A2

B3

C4

D5

E7

4.It is found that the relationship between the number of people (N) playing a casino Jackpot game and the prize money (p) offered is given by the equation:

N = 0.05p + 180

The number of people playing when the prize money is $1500 is:

A75

B180

C200

D255

Enone of these.

5.The heights (in centimetres) of germinating bean seeds were recorded by a scientist in a stem-and-leaf plot as shown below:

Stem Leaf

0 1 3 7

1 2 5 8 8

2 2 2 6 7 8 9

3 3 7

The lower quartile Q1, median Q2 and upper quartile Q3 respectively are:

AQ1 = 10, Q2 = 21, Q3 = 28

BQ1 = 12, Q2 = 22, Q3 = 28

CQ1 = 13, Q2 = 22, Q3 = 37

DQ1 = 0, Q2 = 22, Q3 = 33

Enone of these.

6.Which type of correlation is shown by this graph?

Astrong positive correlation

Bmoderate positive correlation

Cmoderate negative correlation

Dstrong negative correlation

Eno correlation.

7.Consider this stem-and-leaf plot:

The mean, median and mode, respectively, are:

A25, 24, 12

B24, 23, 12

C24, 27, 2

D22, 23, 22

E24, 25, 12

8.The value of tan to 3 significant figures is
A0.7536

B0.7636

C0.7436

D0.754

E0.753

9.The trigonometric ratio for the following triangle, if x= 2 and y = 7, is:

Atan =

Bcos =

Csin =

Dcos =

Esin =

10.The length x is:

A5.14

B6.13

C9.53

D10.44

E12.44

11.A bearing of 290°T is the same as:

AN20°W

BS20°W

CS70°W

DN70°W

EN20°E

12.The angle  to the nearest degree, is:

A32°

B38°

C51°

D58°

E60°

13.From the top of a vertical cliff, 125 m high, the angle of depression to a ship is 348'. From the base of the cliff, the distance to the ship is closest to:

A1880 m

B1350 m

C1250 m

D1080 m

E1450 m

14.The perimeter of the following shape in cm is:

A12 cm

B10 m

C1200 cm

D8 cm

E120000 mm

15.The following formula is used to find the area for which shape?

ATriangle

BTrapezium

CSector

DSquare

EParallelogram

16.Which is the volume of this prism?

A15 cm3

B30 cm3

C50 cm3

D150 cm3

E300 cm3

17.The perimeter of the right-angled triangle in the figure below is:

A25.3 cm

B26.3 cm

C27.3 cm

D28.3 cm

E29.3 cm

18.The length around the athletic track depicted in the following figure is closest to:

A326 m

B163 m

C400 m

D200 m

E183 m

19.A greenhouse is to be constructed as per dimensions in the figure below. The area of plastic required to cover the walls and roof of the greenhouse is closest to:

A140 m2

B100 m2

C60 m2

D80 m2

E120 m2

20.The volume of a cylinder with a diameter of 5 cm and a height of 8 cm is closest to:

A157 cm3

B628 cm3

C165 cm3

D424 cm3

E82 cm3

Year 10 General Maths Exam 2014Page 1

End of Section A

Year 10 General Maths Exam 2014Page 1

Year 10 General Maths Exam 2014Page 1

Section B

For questions worth more than one mark, full working is required.

1The data below shows thetotal amount of calls a telemarketer makes per day.

575989477645457856436255

aList the data in order, from smallest to largest.

bUsing your answer from a find:

ithe minimum valueiithe maximum value

iiithe rangeivthe median (Q2)

vthe lower quartile (Q1)vithe upper quartile (Q3)

cDraw and label a box plot to represent the data.

(1+0.5+0.5+0.5+0.5+0.5+0.5+3=7marks)

  1. As part of a survey, 30 young people were asked if they wanted to buy a car. They wrote Y if they wanted to buy a car, N if they did not want to, and U if they were unsure. The results are shown below.
  1. Summarise the results using a frequency table.
  1. Represent the data by using a bar chart.

(2+3=5 marks)

  1. Find the IQR for the set of data:
20, 12, 50, 6, 51, 9, 55, 26, 4, 9, 35, 16

(3 Marks)

  1. In each of the following, find the value of x to three decimal places.

ab

(1+1=2 Marks)

5.A hill rises 22 metres over a horizontal distance of 15 metres.

aFind the direct distance from its highest point to the lowest.

bFind the angle at which the hill is rising

(2+2=4 Marks)

6.Find the area of the following composite shapes

a.

b.


(3+3= 6 Marks)

7.A right-angled triangle has a base length of 14cm and a height of 8cm. Calculate the length of the hypotenuse correct to 1 decimal place.

Calculate the perimeter of the triangle.

(2+1 = 3 Marks)

8.Calculate the surface area of a rectangular prism 16cm by 8cm by 12cm.

(3 Marks)

9.Find the volume of a sphere of diameter 12 cm

(3 Marks)

End of Section B

Section C

For questions worth more than one mark, full working is required.

Year 10 General Maths Exam 2014Page 1

  1. A goat farm is in the shape of a sector with a radius 90 m and a subtended angle of 78°. Find the length of fencing needed to enclose the farm.
/
(3 Marks)

Year 10 General Maths Exam 2014Page 1

  1. Calculate the length of the largest diagonal that will fit inside the following figure.

(4 marks)

  1. This table shows the number of micrograms of insecticide used in a test and the number of flies surviving after half an hour.
  1. Which is the independent variable?
  1. Plot the data upon a scatter graph.

(1+4= 5 Marks)

  1. A forensic scientist measures the lengths (in centimetres) of the femurs from a number of skeletons. She compares these lengths with the skeletons’ heights (in centimetres). She then draws a scatterplot, and calculates the regression line (see graph).

The coordinates of two points on the regression line are P(41, 151) and Q(45, 154).

  1. Find the equation of the regression line.
  1. Using the above equation, find the expected height of the skeleton if the femur length is 42.3 cm. Give your answer to the nearest cm.
  1. In the laboratory there is a mix up with a number of bones. The forensic scientists knows that the height of the skeleton was 152.6 cm. Which of the following femurs is most likely to be the correct one for the skeleton being investigated?

Femur A42.2 cm

Femur B43.1 cm

Femur C43.5 cm

Give clear reasons for your answer (with appropriate working)

(2+2 + 3 = 7 Marks)

5.A hiker has started from point O and headed out on a bearing of for 7 km to
point B.

  1. Draw a neat diagram to display the movement of the hiker.
  1. Calculate how far south this hiker has headed.Give your answer correct to one decimal place.
  1. What is the bearing from point B to point O?

(2+2+2=6 Marks)

End of Section C

End of Exam

Year 10 General Maths Exam 2014Page 1