learn.stleonards.vic.edu.au · web viewyear 10 general maths exam 2014page 1 section ashade in the...

Section A Shade in the correct answer on the answer sheet provided1. The histogram shows the number

of persons employed per family in a group of families surveyed.

How many families had no-one employed?A 0B 4C 8D 12E 20

2. From the histogram in question 1, how many families were surveyed?A 8B 12C 20D 40E 50

3. The interquartile range of the data10, 7, 3, 4, 4, 6, 7, 3, 8, 0 is:A 2B 3C 4D 5E 7

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 + 180The number of people playing when the prize money is $1500 is: A 75B 180C 200

D 255E none 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:A Q1 = 10, Q2 = 21, Q3 = 28B Q1 = 12, Q2 = 22, Q3 = 28C Q1 = 13, Q2 = 22, Q3 = 37D Q1 = 0, Q2 = 22, Q3 = 33E none of these.

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

A strong positive correlationB moderate positive correlationC moderate negative correlationD strong negative correlationE no correlation.

Year 10 General Maths Exam 2014

7. Consider this stem-and-leaf plot:

The mean, median and mode, respectively, are:A 25, 24, 12B 24, 23, 12C 24, 27, 2D 22, 23, 22E 24, 25, 12

8. The value of tan to 3 significant figures is

A 0.7536B 0.7636

C 0.7436D 0.754

E 0.753

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

A tan =

B cos =

C sin =

D cos =

E sin =

10. The length x is:

A 5.14B 6.13C 9.53D 10.44E 12.44

11. A bearing of 290°T is the same as:A N20°WB S20°WC S70°WD N70°WE N20°E

12. The angle to the nearest degree, is:

A 32°B 38°C 51°D 58°E 60°


13. From the top of a vertical cliff, 125 m high, the angle of depression to a ship is 348'. From the base of the cliff, the distance to the ship is closest to:A 1880 mB 1350 mC 1250 mD 1080 mE 1450 m


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

A 12 cmB 10 m

C 1200 cmD 8 cm

E 120000 mm

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

A TriangleB Trapezium

C Sector D SquareE Parallelogram

16. Which is the volume of this prism?

A 15 cm3

B 30 cm3

C 50 cm3

D 150 cm3

E 300 cm3

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

A 25.3 cmB 26.3 cmC 27.3 cmD 28.3 cmE 29.3 cm

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

A 326 mB 163 mC 400 mD 200 mE 183 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:

A 140 m2

B 100 m2

C 60 m2

D 80 m2

E 120 m2


20. The volume of a cylinder with a diameter of 5 cm and a height of 8 cm is closest to:A 157 cm3

B 628 cm3

C 165 cm3

D 424 cm3

E 82 cm3

End of Section A


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

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

57 59 89 47 76 45 45 78 56 43 62 55

a List the data in order, from smallest to largest.

b Using your answer from a find:

i the minimum value ii the maximum value

iii the range iv the median (Q2)

v the lower quartile (Q1) vi the upper quartile (Q3)

c Draw and label a box plot to represent the data.

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


a. 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.

a. Summarise the results using a frequency table.

b. Represent the data by using a bar chart.

(2+3=5 marks)

b. Find the IQR for the set of data:

20, 12, 50, 6, 51, 9, 55, 26, 4, 9, 35, 16

(3 Marks)


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

a b

(1+1=2 Marks)

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

a Find the direct distance from its highest point to the lowest.

b Find 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 14 cm and a height of 8 cm. 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 16 cm by 8 cm by 12 cm.

(3 Marks)

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

(3 Marks)End of Section B


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

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)

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

(4 marks)


4. This table shows the number of micrograms of insecticide used in a test and the number of flies surviving after half an hour.

a. Which is the independent variable?

b. Plot the data upon a scatter graph.

(1+4= 5 Marks)


5. 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).

a. Find the equation of the regression line.

b. 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.

c. 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 A 42.2 cmFemur B 43.1 cmFemur C 43.5 cmGive 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.

a. Draw a neat diagram to display the movement of the hiker.

b. Calculate how far south this hiker has headed. Give your answer correct to one decimal place.

c. What is the bearing from point B to point O?

(2+2+2=6 Marks)

End of Section CEnd of Exam


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