Section-A
1. Which is further, 25km or 15 miles? Show your working.
[1]
𝟖
15 x = 24km
𝟓
25 km is further.
2. EF and GH are parallel lines. Complete these sentences:
[1+1=2]
a) 1 and 5 are Corresponding angles.
b) 3 and 6 are Alternate angles.
3. a) Work out the circumference of a circle with a radius of 5.5.
b) If this circle was cut in half, what would be the perimeter of one half?
[1.5 + 1.5 = 3]
a) Circumference of a circle = πd
= 3.14 x (5.5 x 2)
= 3.14 x 11
= 34.54
b) Perimeter of a semicircle = πr + d
= 3.14 x 5.5 + (5.5 x 2)
= 17.27 + 11
= 28.27
4. The fixed cost of entering a museum is $16. To enter, each person needs to
pay $8. Find out how much you would need to pay for a family of 8 people. [1]
Cost = 16 + (8 x per person)
= 16 + 8 x 8
= 16 + 64
= $80
5. Adrita recorded the amount of money her classmates get as an allowance
every month.
Number of the allowance ($)
Frequency
0-15
9
16-30
14
31-45
7
a) Record this table into frequency diagram.
[1.75]
b) Which range of the allowance had the least amount of people?
[1]
31 - 45
c) How many people are in Adrita’s classroom?
[1]
14 + 9 + 7 = 30 people
6. Simplify these ratios:
[1 + 1 = 2]
a) 8.4 cm : 140 mm
b) 3.5 : 7
= 84 mm : 140 mm
= 84 ÷ 28 : 140 ÷ 28
=3:5
= 3.5 x 10 : 7 x 10
= 35 ÷ 35 : 70 ÷ 35
=1:2
7. Find the area of this parallelogram:
[ 1.75]
Area of parallelogram: b x h
= 250 cm x 8 m
8m
(convert both to m)
= 2.5 x 8
= 𝟐𝟎𝒄𝒎𝟐
250cm
Section-B
8. Copy and complete these table of values for y = 4 - 2x
x
y
-3
10
-2
8
-1
6
0
4
[1.5]
1
2
2
0
a) Use the table to draw the graph of y = 4 – 2x
b) Find the gradient and y-intercept:
Gradient = -2
[1.5]
[1]
y- intercept = 4
c) Extend the line to see if the point (5, -6) is there.
Yes, it is there.
[1]
d) Where does the graph of y = 4 – 2x cross the x axis?
[1]
2, 0
9. Raj, Sandra and Polly get $400 dollars on Christmas in the ratio of their
ages. How much would each person get if their ages are in the ratio of 11:9:5?
[1.5]
Total parts = 11 + 9 + 5 = 25
Value of one part = 400 ÷ 25 = 16
Raj gets = 11 x 16 = $176
Sandra gets = 9 x 16 = $144
Polly gets = 16 x 5 = $80
10. Find the volume of this compound shape:
[2]
Area of cross section = 8 x 7
= 𝟓𝟔𝟐 𝒄𝒎
Volume = 56 x 12
= 𝟔𝟕𝟐𝟑
11. Find out the values of each missing angle:
90 + 43 + x = 180° (sum of angles on a triangle)
[1.5]
x°
= > 133 + x = 180°
= > x = 180 - 133
a° 90°
43°
= > x = 47°
47 + 43 = a° (exterior angle of a triangle is equal to 2 opposite interior angles)
90 = a°
12. Work out the surface area of a cube with a length of 7cm of each side. [1]
Surface area = (7x7) + (7x7) + (7x7) + (7x7) + (7x7)
= 49 + 49 + 49 + 49 + 49 + 49 or 49 x 6
= 294cm
13. These are the test marks of 2 subjects:
Math
9, 8, 3, 10, 7, 5
English
8, 7, 6, 8, 7, 3
a) Find out which team did better, on average, by the help of the mean
Math’s average =
=
𝟗+𝟖+𝟑+𝟏𝟎+𝟕+𝟓
𝟔
42
6
=7
English’s average =
=
[1.25]
𝟖+𝟕+𝟔+𝟖+𝟕+𝟑
𝟔
39
6
= 6.5
b) Is it possible to find the mode for any subject? Explain why or why not.
[1.25]
No, because the first experiment does not have a repeating number, and the
second experiment has multiple repeating numbers.
14. Draw the line bisector of 6cm.
[1]