In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
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.
You must show all your working.
[6]
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.
You must show all your working.
[5]
Formula One cars are some of the fastest racing cars in the world.
Complete the following statement.
‘Top speeds of Formula One cars are up to........ mph.’
[2]
Calculate Alonso’s average lap time for the 2007 Monaco Grand Prix. Give your answer in minutes.
You must show all your working.
[4]
Typical exchange rates in 2018 were as follows. • £1 = 1.38 US dollars • £1 = 1.14 euros
In 2018, the average annual cost of running a Formula One race team was 250 million US dollars.
Complete the following statement.
‘In 2018, the average monthly cost of running a Formula One race
team was........ million euros.’
You must show all your working.
[4]
Ruth measures the lengths of 5 square pictures.
The measurements she records are as follows.
21 cm 22 cm 23 cm 24 cm 26 cm
Each of these measurements is correct to the nearest cm.
She plans to display all 5 pictures in a line, edge to edge, on a shelf of a bookcase. The length of the shelf is 120 cm, correct to the nearest 5 cm.
Show that the shelf could be 1 cm too short to display all 5 of these pictures.
You must show all your working.
[4]
In March 2014, there were an estimated 6 550 000 000 two pence coins in circulation.
Calculate the value of these 2p coins in pounds (£). Give your answer in standard form.
You must show all your working.
[3]
Calculate the angle, x, at which the tower leans. Give your answer correct to 2 decimal places.
You must show all your working.
[4]
Ceri plans to make a poster that is mathematically similar to the Leaning Tower of Pisa.
Calculate the height of the poster Ceri plans to make.
[2]
On Wednesday, there were no cars in a car park when it opened at 7:00 a.m.
From 7:00 a.m., the number of cars entering the car park was recorded.
The cumulative frequency diagram has been drawn from the results.
How many cars had entered the car park by 7:35 a.m.?
[1]
The first car entered the car park at 7:21 a.m. The last car entered the car park at 7:44 a.m.
Draw a box-and-whisker plot using this information and the data from the cumulative
frequency diagram.
[3]
Imogen has £2000 to invest.
Details of two savings accounts are shown below.
If Imogen invested the £2000 in the Online Saver account, how much money would be in the account after 30 days?
You must show all your working.
[3]
Calculate the AER for the Platinum Plus account.
Give your answer as a percentage correct to 2 decimal places.
[3]
A company makes a chicken run in the shape of a triangular prism, as shown below. The uniform cross-section of the chicken run is an isosceles triangle.
Each face of the chicken run is to be covered in wire mesh, apart from the base. The wire mesh costs £5.60 per m2.
Calculate the cost of the wire mesh that is needed for the chicken run.
[7]
Dafydd has bought a new van.
To pay for the van, he has taken out a loan for £18 000. The loan has an APR of 3%, and will be repaid by monthly payments of £237.84.
The amount that is still to be repaid on a loan is known as the remaining balance. The formula below can be used to calculate the remaining balance on a loan after a period of time from the start date of the loan:
where,
r is the monthly interest rate written as a decimal, L is the loan amount in pounds, M is the monthly payment in pounds, n is the number of months after the start date of the loan.
Dafydd plans to sell the van in 5 years’ time for £5000. Will he have enough money from the sale of the van to pay off the remaining balance on the loan?
You must show all your working.
[4]
Calculate the distance that point A travels as the trapdoor moves from being closed to
being fully opened.
[2]
A thin rod is used to hold the trapdoor open in this position. The rod goes from the closed position of point A to a point on the edge of the trapdoor, 16 cm from point A.
Calculate both the length of the rod and the angle the rod makes with the horizontal.
Angle the rod makes with the horizontal =…………........ ………….. º
[6]
Calculate the area of the triangle AOB.
[2]
Calculate how many more litres of water can be poured into the trough before the trough
is full.
Volume of water that can be added =…………........ …………………. litres
[7]
The paper as printed
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