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Butler Year 9 Exam Review

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Last updated about 4 years ago
58 questions
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Question 1
1.

Simplify

Question 2
2.

Simplify

Question 3
3.

Simplify

Question 4
4.

Simplify

Question 5
5.

Simplify

Question 6
6.

Simplify

Question 7
7.

The mass of the Moon is 73,000,000,000,000,000,000,000 kg What is this written in Scientific notation ?

Question 8
8.

The rest mass of an electron is 0.000 000 000 000 000 000 000 000 000 000 910 938 kg What is this written in Scientific notation?

Question 9
9.

Question 10
10.

Write
as an ordinary number

Question 11
11.

Solve

Question 12
12.

Solve

Question 13
13.

Simplify

Question 14
14.

Simplify

Question 15
15.

Expand and Simplify

Question 16
16.

Expand and Simplify

Question 17
17.

Find the length of the hypotenuse

Question 18
18.

Find the length of the hypotenuse

Question 19
19.

Find the length of the unknown side

Question 20
20.

Show the length of the unknown side

Question 21
21.

Find the perimeter of the trapezium by first determining the length of x

Question 22
22.

A 5m ladder has its base 2m away from the foot of a wall. How far up the wall does the ladder reach (give your answer to the nearest cm)

Question 23
23.

Angela works a basic week of 40 hours and her hourly rate is $12.50. Calculate her weekly wage.

Question 24
24.

Cleve works 8 hours a day and a nine-day fortnight. If his pay rate is $23.15 per hour, what is his fortnightly pay?

Question 25
25.

Kelli's normal pay rate is $16.80 per hour. What will she earn for working 5 hours at time-and-a-half.

Question 26
26.

Meena is a sales person and earns $250 a week plus 3.5% comminsion on sales. If her weekly sales total $60,000 find her total earnings for the week.

Question 27
27.

Calculate the simple interest on $4500 at 8% p.a. for 2 years

Question 28
28.

Calculate the simple interest on $5000 for 5 months at 10.25% per year

Question 29
29.

Find the principal amount required for the simple interest to be $900 on a sum invested for 2 years at 9%

Question 30
30.

Nelly wanted to buy a car and approached a bank for a personal loan of $20,000. The loan was approved at an interest rate of 8% p.a. She has to repay the loan in 5 years. What will be her monthly repayment?

Question 31
31.

Plot each pair of points on the number plane and calculate the distance between them

A(1, 2) and B(4, 2)

Question 32
32.

Use the distance formula
to find the distance between P (4, 3) and Q (3, 2)

Question 33
33.

Solve

Question 34
34.

Solve

Question 35
35.

Solve

Question 36
36.

Solve

Question 37
37.

Find the Surface Area of the rectangular prism

Question 38
38.

Find the surface area of the prism

Question 39
39.

Find the surface area of the triangular prism

Question 40
40.

Find the surface area of the prism

Question 41
41.

Find the surface area of the cylinder

Question 42
42.

Calculate the Volume

Question 43
43.

Calculate the Volume

Question 44
44.

Calculate the Volume

Question 45
45.

Calculate the Volume of the Cylinder

Question 46
46.

A farm household used 180L of water, on average, each day. Calculate the volume of their cylindrical water tank and then determine how long a tankful of water would last from this tank

Question 47
47.

Briefly explain why the two triangles are similar and find the value for y

Question 48
48.

Use a test of similarity to find the missing length

Question 49
49.

Use a similarity test to determine the value of the pronumeral

Question 50
50.

Use trigonometry to find the value of the missing side

Question 51
51.

Find the value of n

Question 52
52.

Find the length of the hypotenuse

Question 53
53.

Question 54
54.

Find the length of angle A

Question 55
55.

Find angle <ACD to the nearest degree

Question 56
56.

In a class of 30 students who study either French or German or both, 18 study French and 22 study German.
Draw a Venn Diagram to represent this

Question 57
57.

Four cards marked with the numbers 1, 2, 3, 4 are paces in a box. Two cards are selected at random, one after the other without replacement, to form a two-digit number.
Draw a tree diagram to show the possible outcomes

Question 58
58.

A survey was conducted into the number of magazines bought by a group of people, male and female, in one year. The results are displayed in the back to back stem-and-leaf plot.
Decribe the differences in the shape of the distribution