City and Guilds Paper 2

What is 108 as a fraction of 648? Give your answer in its simplest form.

Which one of the following lists is in decreasing order?

The diagram shows a regular polygon.

What is the size of angle B.

Work out the value of y if 4y = 144

[latex]\frac{3^2}{3} – 28[/latex]

The radius of the top of this cylinder is 7cm

What is the volume of the cylinder?

¹¹⁄₈ – ¹⁄₁₆ =

4.50 ÷ 0.05 =

What is the perimeter of this triangle?

A call centre aims to deal with calls in less than 5 minutes.

Calls come in randomly.

The table shows data for the calls made to the centre

Work out the probability that the next call will be a customer complaint completed within under 5 minutes.

Give your answer as a fraction in its simplest form.

The government announces that the minimum wage for people over 25 years old will increase
from £8.21 to £8.72 per hour.

A 26 year old woman works 30 hours a week and is paid the minimum wage.
She thinks that the extra money she will earn will cover a rent increase of £20 per week.
Is the woman correct?

A driver sees this speed limit sign in France. The speed is in kilometres per hour.

He is driving at 80 miles per hour and 1 kilometre =5/8 mile.

He thinks this is below the speed limit.

Is he correct?

A man has a fish tank with the following dimensions:

He needs to know approximate volume of the tank.
What is its approximate volume?

0.06 million ÷ 6.2 thousand =

Give your answer to two decimal places

What is ³⁄₈₇ as a decimal correct to three decimal places?

The diagram shows the outline of a building.

Which one of the above shows the elevation of the left side of the building?

1m³ is the same as

A social club sells 50 pink raffle tickets and 75 yellow raffle tickets.

Tickets are drawn randomly.

What is the probability that the first ticket drawn will be a pink ticket?

Give your answer as a decimal.

The chart shows finishing times of marathon runners.

A report states that most of the runners finished in under 4 hours.

Is the report correct?

A shop has a sale.

There is 30% off all black tag items.

One day this notice appears in the shop.

A customer complains that the notice is misleading because it is not true.

Is the customer correct?

A craftsman uses resin to make a paperweight.

He makes the paper weight from two parts, a hemisphere and a cylinder.

He uses this plan.

How much resin does he need for both parts?

A student wants to raise £100 for charity.

He will sell hot dogs at a disco.

He will make 150 hot dogs.

He buys ingredients at The Supermarket.

If he sells all the hot dogs, what is the minimum price he must charge to make a profit of £100?

A supermarket buyer compares large eggs from two suppliers.

She wants to buy the largest eggs.

The table shows the masses of a sample of large eggs from Supplier A

A similar sample taken from supplier B gives a mean value of 66.5g

Which supplier should the buyer use?

A man has £5000.

He will put his money into a savings account at a bank.

He wants to save it for one year.

Bank A pays 2% compound interest. It adds interest every 6 months.

Bank B pays 3.15% annual interest rate.

Which bank should the man choose?

A team manager wants to pick four people for a bowling competition.

She decides to pick players with consistently good average (median) scoring performances.

She picks the following three people.

She needs one more player to make up the team.

She look at the scores of two more players.

Decide which player best fits the requirements.

A fisherman sets off from Dunsey in a boat.

His boat will travel at an average speed of 5 kilometres per hour.

He has this map so that he can avoid the rocks.

He needs to meet up with a ship at coordinate L34 at 5pm

He needs to know at what time he must leave Dunsey.

At what time must he leave Dunsey?