Numeracy Unit 2 - Higher tier

In May 2018, the population of Wales was approximately 3 150 000.

Of this population, approximately 286 500 people were aged 75 or over.

In May 2018, a survey in Wales found the following:

• 85% of the population of Wales used the internet,

• 99% of people aged 16 to 24 used the internet,

• 40% of people aged 75 or over used the internet.

Of all the internet users in Wales in May 2018, what percentage were aged 75 or over?

Give your answer correct to 2 significant figures.

Mali’s scooter depreciated (decreased) in value by 24% in the first year.

In all further years, her scooter depreciated by 13% of its previous year’s value.

She originally paid £850 for her scooter.

Calculate the value of Mali’s scooter after 7 years.

A television uses 1 unit of electricity every 10 hours.

A unit of electricity costs 9.8 p.

Calculate the cost of having a television turned on for 24 hours.

• £23.52

• £2.35

• 40.83p

• 23.52p

In Cuba, urban gardens are used for food production.

1 acre ≈ 0.00405 km2

35 000 acres of urban gardens in Cuba produced 3.4 million tonnes of food in 2002.

Calculate the number of tonnes of food produced per km2 in urban gardens in Cuba in

2002.

Give your answer to two significant figures.

Holly wants to buy a new house in Cardiff.

She knows that Land Transaction Tax will be added to the price of the house.

 

Land Transaction Tax rates are shown below:

•       pay nothing on the first £180 000 of the price of the house,

•       pay 3∙5% on the part of the price of the house that is above £180 000 and up to and including £250 000,

•       pay 5% on the part of the price of the house that is above £250 000 and up to and including £400 000.

The most Holly can afford to spend, including Land Transaction Tax, is £327 000.

Let x be the highest price of house that Holly can afford.

Write an equation in x and solve it to calculate the highest price of house that

Holly can afford.

Sanjay stacks three boxes in a pile.

The heights of the boxes are 25 cm, 36 cm and 47 cm.

They are all measured correct to the nearest centimetre.

What is the greatest possible height of the stack of the three boxes?

Find the length of support 1.

A company is designing a new chocolate-covered biscuit in the shape of a square-

            based pyramid.

 

The centre of the square base is labelled O.

Each biscuit will have base sides of length 3∙4 cm, and a vertical height of 2∙1 cm.

 

Calculate the angle that one of the triangular faces makes with the base of the

pyramid