EASE 2 Preparation

​Understanding measurement

​Some text here about the topic of discussion.

Multiple Choice

John cleans carpets of different areas. He uses this graph to work out the cost of cleaning a carpet.

It costs £150 to clean a carpet, what is its area?

• 30 $$m^2$$

• 36 $$m^2$$

• 32 $$m^2$$

• 37 $$m^2$$

Multiple Choice

2. Molly is traveling from France to the US. She knows that 1 US dollar is worth 0.80 Euros. How much is 350 Euros worth in US dollars?

• 425 US dollars

• 437.50 US dollars

• 375 US dollars

• 280 US dollars

Multiple Choice

Convert 5 miles to km

• 8

• 3

• 6.5

• 4.5

Multiple Choice

Write the following volumes in order, starting with the smallest.

$$\frac{1}{2}$$  litre, 780 ml, 125 ml, 0,65 litres

• $$\frac{1}{2}$$  litre, 780 ml, 125 ml, 0,65 litres

• 125 ml, $$\frac{1}{2}$$ litre, 0,65 litres, 780 ml

• $$\frac{1}{2}$$ litre, 125 ml, 780 ml, 0,65 litres

• 125 ml, $$\frac{1}{2}$$   litre, 780 ml, 0,65 litres

Multiple Choice

Jonathan and Priya want to fit a new washing machine in their kitchen. The width of a washing machine is 79 cm to the nearest cm. To fit in the machine, they have to make a space by removing cabinets. They want the space to be as small as possible.

What is the smallest and largest space into which the washing machine can fit?

• 78.5 cm and 79.5 cm

• 70 cm and 80 cm

• 79.5 cm and 80 cm

• 70 cm and 79.5 cm

​Scatter Diagrams and Correlation

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Multiple Choice

3. SCUBA divers have maximum dive times they cannot exceed when going to different depths. This table shows the times for certain depths.

a. Show this data on a scatter diagram.

Multiple Choice

Which scatter plot show a positive relationship?

• Graph A

• Graph B

• Graph C

• Graph D

Multiple Choice

Which of the following lines represents the line of best fit for the scatter plot?

• A

• B

• C

• D

​Managing Money

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Multiple Choice

Mr Smith’s taxable income is $178 000 p.a. 

Use the tax below to work out the annual tax payable of Mr Smith.

• $35 260

• $68 260

• $56 760

• $23 760

Multiple Choice

An estate agent is paid a retainer of $150 per week plus a commission on sales.

The rate of commission is 2.5% of all sales.

How much would she earn in a week if she sold a house for $220 000 and an apartment for $125 000?

• $345 003.75

• $ 8775

• $8625

• $862 650

Multiple Choice

Sam is paid $7.50 per hour for a standard 36-hour week. He is paid ‘time-and-a-half ’ for all overtime worked.

How many hours of overtime worked if he earns $326.25 for the week?

• 4 hours

• 5 hours

• 6 hours

• 7 hours

Multiple Choice

When Lisa was born, her parents put $8,000 into a college fund account that earned 9% simple interest. Find the amount of interest earned after 18 years.

• $720

• $1,080

• $20,960

• $12,960

Multiple Choice

The cash price of a car was $20 000. The hire purchase price was $6000 deposit and instalments of $700 per month for two years.

How much more than the cash price was

the hire purchase price?

• $2600

• $2800

• $3000

• $3200

Multiple Choice

A Television can be bought on hire purchase with a down payment of $800 and 20 monthly installments of $275. What is the hire purchase price?

• $6300

• $5500

• $3,450

• $6800

Multiple Choice

How much would you have to repay on a credit card debt of $3500 after two years if the interest rate is 19.5% compounded half-yearly

• $5077.92

• $4998.09

• $5777.92

• $4989.09

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D

Multiple Choice

You go to buy a pair of Jordan high heel shoes. They originally cost $150, but are on sale for 20% off. What is the final price you will pay?

• $130

• $20

• $180

• $120

Multiple Choice

• A

• B

• C

• D

Curved Graph

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Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D

Multiple Choice

Which of the following could be the graph of $$y=\frac{2}{x}$$  

Multiple Choice

What are the asymptotes?

• x=-2 and y=-1

• x=-2 and y=1

• x=2 and y=1

• x=2 and y = -1

Multiple Choice

Which asymptotes are correct?

• y=2 and x=0

• y=-1 and x=0

• y=0 and x=0

• y=0 and x=-1

Multiple Choice

The graphs of y=x and  $$y=x^2-6$$   have been drawn on the same set of axes. 

What is the value of x  such that $$x=x^2-6$$   ?

• x = -2 and x =3

• x = -3 and x =2

• x = 2 and x = 3

• x = 2 and x =-3

Multiple Choice

Use the graph to solve the equations

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D

Multiple Choice

Find the gradient of the graph at the point (2,4)

• 2

• 4

• 6

• 8

Multiple Choice

• $$-80x^4$$  

• $$80x^4$$  

• $$-16x^4$$  

• $$-21x^4$$  

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D

Multiple Choice

Find the gradient of a function at a given value of x.

• -2

• 2

• 1

• 0

Symmetry and Circle

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Multiple Select

Which of these shapes have 6 lines of symmetry?

• All of the above!

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D

Multiple Choice

Consider the shape is cube

• A

• B

• C

• D

Multiple Choice

Find the value of the angle marked x....

• 90

• 43

• 47

• 53

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D