Uploaded by Michelle Lucas

ANGLES REVISION

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Angles (25 marks) You have 20 minutes to complete the questions.
Questions & Answers
1
Marks
Which angle has its vertex at R?
(A)
(B)
(C)
(D)
1
2
This angle measures:
(A) 50°
1
(B) 130°
3
4
In the figure above, angles b and h are:
(A)
corresponding angles
(B)
alternate angles
(C)
cointerior angles
(D)
supplementary angles
1
a) What type of angle relationship is shown in the diagram?
…………………………………………..
1
b) Find the value of a.
…………………………………..
…………………………………..
1
5
a) What type of angle relationship is shown in the diagram?
1
……………………………………..
b) Find the value of x.
1
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6
a) Find the value of x.
………………………………
…………………………………
1
b) Give a reason for your answer.
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1
7
a) Find the value of x.
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1
b) Give a reason for your answer.
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1
8
a) Find the value of x.
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…………………………………
xo
35o
1
b) Give a reason for your answer.
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9
1
Two parallel lines are cut by a transversal, forming a pair of cointerior angles.
If one of the angles is equal to 53°, find the size of the other angle.
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1
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1
10
Use your protractor to accurately draw and label an angle ∠𝐴𝐵𝐶 which measures 145°
2
11
Classify each of the following angles using one of the given terms:
acute, revolution, straight, reflex, obtuse, right
_______________
_____________
_______________
________________
4
12
Is 𝐴𝐵||𝐶𝐷? Give a reason for your answer
……………………………………………….…
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2
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13
Find the value of 𝑥. Give full reasons for each
step.
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3
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Total
/25
2
Measurement (25 marks) 20mins to complete
Questions & Answers
Marks
1
Change to the units required:
i.
35 mm
= __________________________cm
ii.
4 m = __________________________cm
iii.
890 mm = ________________________m
1
1
1
2
Calculate the perimeter of the following shapes
(NOT TO SCALE)
i.
1
……………………………………………………………………..
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ii.
1
……………………………………………………………………………
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3
Find the length of the box, to the nearest mm, using the ruler below.
……………………………………………………………………
Questions and Answers
1
Marks
3
4
Find the perimeter of this composite figure.
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2
5
Find the circumference of this circle, correct to 1 decimal place.
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1
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6
The diameter of a circle is equal in length to:
(A) its circumference
(B) half its radius
(C)
double its radius
(D)
three times its circumference
1
7
Find the length of the arc correct to one decimal place
………………………………………………..
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2
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Questions and Answers
Marks
4
8
Find the length of fence needed to surround a rectangular block of land that is
28 m by 52 m.
……………………………………………………………………
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1
…………………………………………………………………….
9
The base of this triangle is 6 cm and it is 8 cm high.
What is the area of the triangle?
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1
10
This parallelogram has a base of 3cm and a
perpendicular height of 8cm.
What is its area?
……………………………………………………………
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1
11
Find the area of the trapezium.
Show your working.
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3
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Questions and Answers
Marks
5
12
Calculate the perimeter of this shape.
Show your working.
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3
13
A print measuring 25 cm by 12 cm is to be surrounded by a wooden frame of width 3
cm.
i)
Find the perimeter of the framed print.
………………………………………………………………..
………………………………………………………………..
………………………………………………………………..
ii)
2
Find the area of the frame.
………………………………………………………………..
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2
Total
/25
6
E – Equations (20 marks)
Questions and Answers
Marks
1
This equation is balanced (true) when r = …….
1
2
Solve:
1
r + 7 = 19
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3
5𝑦 = 35
Solve:
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1
4
𝑥
3
Solve:
= 12
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1
…………………………………
5
3−𝑥 =1
Solve:
…………………………………
…………………………………
1
6
3 g + 4 = 16
The first step to solving this equation is to:
(A)
subtract 3 from both sides
(B)
subtract 4 from both sides
(C)
divide both sides by 3
(D)
divide both sides by 16
Questions and Answers
1
Marks
7
7
Solve this equation, showing your working out steps:
2𝑘 + 1 = 9
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2
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8
Which of these is NOT an equation?
(A) 2(3h + 7) – 8
(B) 24 × 3 + 10 = 82
(C) 3n – 8 = 2n + 1
1
9
I am thinking of a number. When I divide this number by 12 and add 2, I get 7.
What was the number I was thinking of?
…………………………………
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1
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10
Solve, clearly showing your working for each step.
i) 8𝑥 − 12 = 38
ii) 3𝑥 + 14 = 5
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4
11
Which of the following is the solution for
𝑛
4
A. 4
− 8 = 7?
B. 20
C. 36
D. 60
Questions and Answers
1
Marks
8
12
Jarrad has collected 1794 beetles. This is 6 times as many beetles as Lisa has in
her collection.
Let 𝑁 represent the number of beetles that Lisa has.
Which of the following equations best represents this situation?
A. 1794 − 𝑁 = 6
B. 6𝑁 = 1794
C. 𝑁 = 6 × 1794
1
D. 𝑁 + 6 = 1794
13
When a certain number is subtracted from 100, the result is 47.
Let 𝑁 represent the number.
Which of the following equations best represents this situation?
A. 𝑁 − 100 = 47
B. 100 + 47 = 𝑁
C. 𝑁 − 47 = 100
D. 100 − 𝑁 = 47
1
14
A school organises a disco. The costs are $300 for the hire of a Music Machine
and $2 per student for refreshments.
i)
If tickets cost $6.50, how many tickets need to be sold to cover the
cost?
ii)
How many tickets would have to be sold to make a profit of $220 to
give to charity?
3
Total
/20
END OF EXAMINATION
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