City and Guilds Paper 4

672 ÷ 21

What is 0.825 as a percentage?

The diagram shows a cross section of a metal bar.

Which one of the following is the side elevation?

A box of chocolates contains 4 hard centres, 6 soft centres and 2 plain chocolates.
A woman chooses a chocolate at random.
What is the probability that she takes either a hard centre or a soft centre?
Give your answer as a fraction in its lowest terms.

What is 6 gallons in litres, to the nearest litre?

What is 42% of 400?

An inspector checks the weights of bags of crisps.

What is the modal weight for the bags of crisps?

18.369 + 3.197 – 2.475 =

What is the value of angle a?

Eight bricklayers on a building site took 25 hours to build a wall.
The Site Manager needs a similar wall built.
He can hire five bricklayers to build this wall.
He needs to know how much longer it will take to build this wall.
How much longer will it take?

A woman needs to work out how long it will take to drive to York.
She checks the journey on a website.
The distance from her house to York is 80 miles.
20 miles of the journey are through roadworks with a speed restriction of 40mph.
She should drive the rest of the journey at an average speed of 50mph
How long should the journey take?

What is 35 as a fraction of 490? Give your answer in its simplest form.

1 ³⁄₈ + 3 ⁹⁄₁₆

Which of these has the smallest value?

What is the volume of this triangular prism?

What is the coordinate for Highby Station?

A woman is going to Spain for a holiday.
She wants to book a hotel online.
She finds a hotel that charges €84 euros per night.
She thinks this will be about £100 per night.
Exchange rate pound to euro     £1 = €1.12

Is she right?

An apprentice hairdresser needs to prepare a solution to colour a client’s hair.
The client wants high lift shades.
The apprentice hairdresser measures out 75ml of developer.

What amount of hair colour should she measure out?

A woman has a new fitness watch.
She uses this formula to calculate her step length.

In her first week she walks 67118 steps.
She wants to know how many kilometres she walked in the first
week.
1 foot = 0.0003048km

What distance did she walk?

A secretary needs to order 8 boxes of paper clips. Each box costs £7.67
The table below shows the discount offered on large orders.

What amount will the secretary have to pay?

The Chairperson of a committee needs to write a report for a council meeting.
She needs to compare the fly tipping incidents reported in the local area with the fly tipping
incidents reported nationally.

This table shows the numbers of fly tipping incidents reported in the local area.

What will the Chairperson write in her report about the comparison between the local incidents
and the national incidents? Explain your answer using figures.

A golf coach wants to tell a beginner how he is performing.
He tells the beginner that he should be able to hit the ball 150 yards on average.
He tests the beginner and records the distance of each hit.

Is the beginner performing at the average level?

A garage sells used cars.
When a customer buys a car, the garage owner will offer an amount to pay for their old car.
A customer brings in a ZZX Roadster with a mileage of 70 000.
The garage owner estimates the value of this car based on the mileage.
He uses this website graphic to find this value.

He wants to make a first offer to the customer 30% below this value in order to make a profit
when he resells it.
What amount should he offer the customer?

A 22-year-old man wants to apply for this job.
He wants to work out how much his annual take home pay will be.


He knows he has to pay income tax and national insurance and what is left is his take home pay.

He is told that his national insurance will be about £600 National Insurance in the year.
What will the man’s annual pay be?

A health club conducts a survey to compare the average number of hours of sleep of members.
Members report their results each week.
A woman takes part in this survey. She wears a fitness band, which records the number of hours she sleeps.
She wants to compare her own results week by week.
Last week she slept a mean time of 5 hours 19 minutes with a range of 4 hours 49 minutes.
This is the record for this week.

What are the results that the woman reports to the health club?
What comparison can she make between her own results?
Make two comments using figures.