City and Guilds Paper 3

531 x 1.4 =

5⁴ =

The following diagram shows a parallelogram.

What is the size of angle a?

Which one of the following works out to the largest number?

What is 52% as a fraction in its lowest terms?

If the wheel is spun again what is the chance of ♦ being the winner?

Give your answer as a fraction.

Which calculation gives an approximation of the area of this circle in cm2?

Calculate ^{(8 − 42)}⁄₈ =

What are the coordinates of the line at point * ?

Which one of the following is the front elevation of the house from the view shown?

A commuter uses a bus and a train to get to work.

The train is more than 5 minutes late ¹⁄₆ of the times they use it

The bus is more than 5 minutes late ³⁄₅ of the times they use it

What is the probability that both the bus and train will be more than 5 minutes late?

A model maker wants to make a model of a ship

He will use a scale of 1:50

The ship was 100ft long

1 foot = 0.3 m

What is 12% of £5300?

What is 23.3 x 0.463 correct to three decimal places?

Which one of the following lists is in decreasing order?

What is the price of the phone before VAT of 20% is added?

The results for a local election were

Candidate One 602 votes
Candidate Two 553 votes
Candidate Three 350 votes

What fraction of the votes did the winner get?

Give your answer in its simplest form.

A parent fills in a medical form about her 2-year-old child.

The parent measures her child’s height with a tape measure and writes that the child is 3m tall.

The receptionist at the surgery thinks that the parent has made a mistake.

Is the receptionist correct?

An editor needs to change the width of this photo to fit in a magazine.

The photo needs to be 32 mm wide.

What percentage of the original width will the changed photo be?

An estate agent needs to know the area of a plot of building land.

This plan shows the building land.

What is its area?

An architect designs a shop refit.

The architect needs to work out the weight of an oak panel.

The oak panel measures 0.06 m x 0.9 m x 1.5 m

The density of oak is 700 kg per m³

What is the weight of the oak panel in kg?

A cook needs to cook a turkey to be ready by 6pm.

The cook will start cooking the turkey at 1:30pm

Turkey needs to be cooked for 45 minutes per kg of total weight plus 20 minutes and then left to rest for 45 minutes.

The cook has a 4.4kg turkey.

Has the cook allowed enough time?

A cafe makes its own coffee blend by mixing different coffee beans together.

It uses Brazilian beans and Kenyan beans in a ratio of 4:1

The manager needs to mix enough beans to make 120 cups of coffee.

Each cup of coffee needs 85g of beans.

He needs to know what weights of beans to use.

What are the weights of the beans he needs?

A man is 185cm tall and weighs 98kg. He wants to reach a healthy weight.

A doctor says he can lose 0.75kg a week if he follows a diet and exercises to burn 600 calories a week.

He plans his diet and decides to use Yoga exercise to burn 600 calories a week.

He will use one-hour Yoga classes that burn 200 calories. Each class costs £6.

He has £360 he can spend on Yoga classes

Does he have enough money to pay for the Yoga classes?

A house tenant has a budget of £75 to redecorate a room.

The room has two walls 2.98m long and 3.94m long and the wall is 2.65m high.

She wants to paint one long wall and one short wall.

She wants to put wallpaper on the other short and long walls.

A 2.5L tin of paint costs £16 and covers 30m2

A roll of wallpaper is 52cm wide and 10 m long.

Can the tenant decorate the room for the budget set?

A vet nurse in a pet rescue centre records weights and ages of kittens brought to the centre.

One day the centre receives an abandoned kitten. It weighs 460g

Estimate the age of the abandoned kitten.

A city council wants to encourage car sharing to cut pollution.

It takes a survey of cars entering the city and find these results.

It introduces a congestion charge for cars with only one person in the car.

It wants to know if the congestion charge is effective in making people share cars.

It takes another survey of the number of people in cars entering the city.

Is the congestion charge effective?