Numeracy Unit 1 - Intermediate

The gardens at Castell Gwynhir cover an area of 714 000 m2.

Water ponds cover 2/7 of the area of the gardens.

Calculate the area covered by water ponds.

The following advertisement appeared in the Draig Newsletter.

 

Mr Chen’s guitar lessons.

A single lesson costs £23.

Pay in advance for 5 lessons and get 15% off the cost of these 5 lessons.

Rowena has a guitar lesson with Mr Chen.

She then decides to pay in advance for a further 5 lessons.

How much does Rowena pay in total for these 6 guitar lessons?

Albert, Terri and Gareth are going camping.

Albert, Terri and Gareth paid for a tent between them.

The amount they each paid for the tent was in the ratio 1 : 4 : 6 respectively.

Gareth paid £66.36 towards the tent.

 

Calculate the cost of the tent.

Marcin has a market stall to sell his printed T-shirts.

 

It costs him:

• £250 to buy 100 plain T-shirts,

• 50p to print a design on each T-shirt.

Marcin sells his printed T-shirts for £4.00 each.

 

At the start of the week:

• His bank account balance is £820.

• Marcin has 100 printed T-shirts ready to sell.

• He has already paid for these printed T-shirts.

 

During the week:

• Marcin sells his stock of 100 T-shirts.

• He pays all the money he takes from selling T-shirts into his bank account.

• He buys and prints another 400 T-shirts.

• Marcin does not sell any of these 400 T-shirts.

How much will Marcin have in his bank account at the end of this week?

Megan wants to calculate her next 3-monthly electricity bill.

     She knows the following:

• Her meter reading on 31 October 2017 was 14400.

• The charge per unit for electricity has increased by 5% since her last bill.

• The standing charge has increased by 20p per month since her last bill.

• VAT remains at 5%.

   How much will the next utility bill be?

In a supermarket, the same brand of shampoo is sold in two different-sizedbottles.

 

Large bottle 800ml for £1.28

Small bottle 300ml for 45p

 

Which bottle of shampoo offers the better value for money?

• Large Bottle

• Small Bottle

Airand Electronics only sells digital tablets and covers.

The Venn diagram shows the number of items sold by Airand Electronics during the first week in May.

Each tablet was sold for £220.

Each cover was sold for £18.

How much money in total did Airand Electronics take in the first week of May?

Ollie and Josef both have jobs in a workshop that makes decorations.

They make decorations using small squares of stained glass.

He labels the first decoration D1.

He labels the next 3 decorations in order, D2, D3 and D4.

He continues to make decorations and labels following this pattern.

 

After making decoration D5, Ollie notices he only has 10 small squares of stained glass left.

    How many more squares of stained glass will Ollie need to make decoration D6?

A number of paths are to be laid to join three new office buildings.

A sketch of the architect’s plan is shown below.

The architect has shown a number of the angles in his planning for the new paths.

Calculate the size of each of the angle a.

A number of paths are to be laid to join three new office buildings.

A sketch of the architect’s plan is shown below.

The architect has shown a number of the angles in his planning for the new paths.

Calculate the size of each of the angle b.