Worksheet 29 Memorandum: Term 4 Revision Grade 9 Mathematics
Worksheet 29 Memorandum: Term 4 Revision Grade 9 Mathematics
1. A (-2, 4) A' (4, -2) = Reflected about the line y = x B (-4, -5) B' (-2; -1) = Translated 2 units right and 4 units up. C (7; 2) C' (7; -2) = Reflected about the x-axis. D (3; -4) D' (-3; -4) = Reflected about the y-axis E (-6; 8), F (-8; 4) and G (-4, 4) E' (-3; 4), F'(-4; 2) and G' (-2; 2) = Reduced by a factor of 2.
2. a) A (-3, 4) reflected about the x-axis A' (-3; -4) b) B (4; -12) reflected about the line y = x B' (-12; 4) c) C (-2; 4) translated 4 units down and 12 units left C' (0; -14) d) D (3; -1) reflected about the y-axis D' (-3; -1)
3. a) E' (16, 8) enlarged by a factor of 4 E (4; 2) b) F' (1; 5) translated 3 units up and 4 units to the right F (-3; 2) c) G' (-3; 1) reflected about the line y = x G (1; -3) d) H' (-6; 8) reflected about the x-axis H (-6; -8)
4. a) The coordinates of the vertices will move to a point three times larger than the original point
b) The perimeter of the triangle will also become three times larger c) The area of the triangle will become 9 times larger.
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5. a) cylinder c) triangular prism
b) square based pyramid d) rectangular prism
6. a) Cylinder no vertices, 2 edges and 3 faces b) Square based pyramid 5 vertices, 8 edges and 5 faces c) Triangular prism 6 vertices, 9 edges and 5 faces d) Rectangular prism 8 vertices, 12 edges and 6 faces
7. a) Cylinder Surface Area = 22 + 2 Volume = 2
b) Square based pyramid
Surface area = 2 + 1 ( )( )
2
Volume
=
1 3
2
?
c) Triangular prism Surface area = + + +
Volume = Area of the triangle base x length
d) Rectangular prism Surface area = 2( + + )
Volume = ? ?
8. A population looks at every single individual in a group, while a sample is a random selection of some of those individuals in the group, for example, rhinos are a population, while all the rhinos in the Kruger national park would be a sample of those rhinos.
9. These questions are opinion based, however the answers should be logical. Here are suggested answers (but other logical answers are also possible).
a) A person's favourite restaurant A survey or questionnaire, as this only needs the name of the restaurant.
b) Which is better, tea or coffee? Again, a survey of questionnaire would suffice; it is not an open-ended question
c) How a person feels about their favourite sports team. This could be an open-ended questionnaire as it is easier to describe their feelings in their own words.
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d) How to make coffee This could be any of the three, although for instructions, most often open-ended questions should be used.
e) When a person should buy a house. Again, this could be any of the three, depending on the purpose of the research.
f)
A student's favourite study method. This could be as a survey or open-ended
question as the student might have several methods or an explanation of how they like
to study.
10. a)
b) c) d)
Average Calories Average KJoules
= 300+670+360+406+1275+421 441
7
= 3873
7
= 553.29 Calories = 1254+2803+1506+1699+ 2164+1760+1845
7
= 13031
7
= 1 861.57 kJoules
1254 1506 1699 1760 1845 2164 2803
Median = 1760 kJ
Calories Range = 1275 ? 300
= 975
kJ Range = 2803 ? 1254
= 1549
Yes, the Spur burger has a large amount of calories while the Burger King burger seems to also have a very high number of kJ
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e)
Number of Calories per Burger
Calories per Burger at different Fast Food places
1400
1200
1000
800
600
400
200
0
MacDonalds Burger King Steers
Nandos
Spur
Wimpy
KFC
Restaurants
Calories
f)
3000
kJoules vs number of Calories per Burger
2500
Numbr of kJoules
2000
1500
1000
500
0
0
200
400
600
800
1000
1200
1400
Number of Calories
g) From the scatterplot answer the following questions:
i)
A strong positive relationship
ii) About 1000 kJoules of energy.
h) Yes, it is possible. Often there are things on the internet that aren't true.
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11. a)
1 2
1
H
1
2
2
1 2 1 2
T
1 2
1
2
H HHH
H
1
2
T
HHT
1
H HTH
2
T
1 2 1 2
H
T
HTT
H THH
1
T
THT
2
1
H TTH
2
T
1
T
TTT
2
b)
Probability
of
throwing
three
heads
in
a
row
=
1 2
?
1 2
?
1 2
=
1 8
c)
Probability of throwing two heads and one tails in any order = 1 + 1 + 1 = 3
888 8
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