Butler Year 9 Exam Review

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Simplify

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Simplify

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Simplify

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Simplify

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Simplify

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Simplify

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

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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?

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Write
as an ordinary number

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Solve

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Solve

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Simplify

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Simplify

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Expand and Simplify

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Expand and Simplify

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Find the length of the hypotenuse

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Find the length of the hypotenuse

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Find the length of the unknown side

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Show the length of the unknown side

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

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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)

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

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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?

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

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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.

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

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

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

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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?

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

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

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

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Solve

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Solve

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Solve

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Solve

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Find the Surface Area of the rectangular prism

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Find the surface area of the prism

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Find the surface area of the triangular prism

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Find the surface area of the prism

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Find the surface area of the cylinder

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Calculate the Volume

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Calculate the Volume

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Calculate the Volume

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Calculate the Volume of the Cylinder

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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

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

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Use a test of similarity to find the missing length

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Use a similarity test to determine the value of the pronumeral

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Use trigonometry to find the value of the missing side

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Find the value of n

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Find the length of the hypotenuse

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Find the length of angle A

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Find angle <ACD to the nearest degree

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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

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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

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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

Simplify

Simplify

Simplify

Simplify

Simplify

Simplify

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

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?

Write as an ordinary number

Solve

Solve

Simplify

Simplify

Expand and Simplify

Expand and Simplify

Find the length of the hypotenuse

Find the length of the hypotenuse

Find the length of the unknown side

Show the length of the unknown side

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

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)

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

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?

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

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.

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

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

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

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?

Plot each pair of points on the number plane and calculate the distance between themA(1, 2) and B(4, 2)

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

Solve

Solve

Solve

Solve

Find the Surface Area of the rectangular prism

Find the surface area of the prism

Find the surface area of the triangular prism

Find the surface area of the prism

Find the surface area of the cylinder

Calculate the Volume

Calculate the Volume

Calculate the Volume

Calculate the Volume of the Cylinder

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

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

Use a test of similarity to find the missing length

Use a similarity test to determine the value of the pronumeral

Use trigonometry to find the value of the missing side

Find the value of n

Find the length of the hypotenuse

Find the length of angle A

Find angle <ACD to the nearest degree

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

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

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

Write
as an ordinary number

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

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

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

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

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

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