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31 A shop sells pots of cream in two different sizes.
A 300 ml pot costs $1.53. A 500 ml pot costs $2.60. 300 ml 500 ml
Which size pot is better value for money? $1.53 $2.60
Show all your working.
32 Copy and complete each statement.
a 6 m = cm b 550 mm = cm c 0.8 m = cm 3
2
2
2
2
3
d 5.2 cm = mm e 450 cm = ml f 3.6 ha = m 2
3
3
3
33 A circle has a radius of 6.5 cm. Work out:
a the area of the circle
b the circumference of the circle.
Give both your answers correct to one decimal place. Use the ‘π’ button on your calculator.
34 Work out: i the volume ii the surface area
of the triangular prism and the cylinder.
Give your answers to part b correct to one decimal place.
a b 7 cm
26 cm
15 cm
10 cm
13.2 cm
24 cm
35 Mia has two spinners, as shown.
She spins the spinners and then multiplies the numbers
they land on to get a score. × 2 3 4
a Copy and complete the sample space diagram to 4 3
show all the possible scores. 2 3 2 2 4
b What is the probility that Mia scores 6? 3
c What is the probility that Mia does not score 6?
36 An aeroplane leaves an airport and flies 400 km on a bearing of 140°.
It then flies 320 km on a bearing of 050°.
a Make a scale drawing of the aeroplane’s journey. Use a scale where 1 cm represents 40 km.
b How far is the aeroplane away from the airport?
c On what bearing must the aeroplane fly to return to the airport?
37 a Copy and complete this table of values for the
function y = 3x − 1. x −3 −2 −1 0 1 2 3
b On graph paper, draw the line y = 3x − 1 for y
values of x from −3 to + 3.
c What is the gradient of the line y = 3x − 1?
38 The table shows the times taken by some adults to complete Time, t (minutes) Frequency
a crossword.
a How many adults completed the crossword? 0 ≤ t < 4 9
b What fraction of the adults completed the crossword 4 ≤ t < 8 16
in less than 8 minutes? 8 ≤ t < 12 8
c Draw a frequency polygon for this data.
12 ≤ t < 16 7
End-of-year review 193