2021 Paper 1

Ben worked on a Saudi Arabian oil rig for 4 months. He was paid in Saudi Arabian Riyal.

The exchange rate was 5 Riyal to the pound.
Calculate his mean monthly earnings over the 4 months. Give your answer in pounds.

African elephants continue to grow for the duration of their lives. The table below shows the age of a sample of African elephants and their shoulder heights.

(a) On the grid below draw a scattergraph to show this data.

(b) Draw a line of best fit on your scattergraph.

(c) Use your line of best fit to estimate the age of an African elephant that is 260 cm tall.

A polling company predicted the result of an election. They claimed that the prediction would be within $\displaystyle \pm 3\%$ of the result.

Determine if the company's claim was correct.

Laura has to inflate her lorry tyres to a pressure of 84 PSI. Mark this pressure on the gauge shown.

Lucy works as a lifeguard. Lucy's overtime rate is time and a half. During one week Lucy worked 40 hours at normal rate and 10 hours at overtime rate. Lucy was paid £550 for that week.

(a) Calculate Lucy's normal hourly rate of pay.

Allan is also a lifeguard. His normal hours are 40 hours per week. Over the course of 5 weeks Allan worked an additional 16 hours overtime.

(b) Express Allan's overtime hours as a percentage of his normal hours.

Mr Kenneth asked his class how much money they had spent on their lunch. The results are shown in the boxplot.

(a) Calculate the inter-quartile range.

The money spent on lunch by Mrs Campbell's class had an inter-quartile range of £1.82.

(b) Make one valid comment comparing the money spent on lunch by Mr Kenneth's class and Mrs Campbell's class.

Convert $\displaystyle \frac{3}{7}$ to a decimal fraction. Round your answer to 3 decimal places.

The bar chart below shows the medals won by four countries in the 2016 Olympic Games.

(a) Calculate the number of gold medals won by the UK in the 2016 Olympic Games.

(b) Calculate the ratio of gold : silver : bronze medals for France. Give your answer in its simplest form.

Gillian flew from Aberdeen to Caracas via Paris. She got on the aircraft in Aberdeen at 06:05 local time. She was off the aircraft in Paris for 1 hour 15 minutes. She got off the aircraft at Caracas at 15:30 local time.

Paris is 1 hour ahead of Aberdeen.
Caracas is 5 hours behind Paris.

Calculate the total time she was on the aircraft.

Sarah wants to make chilli con carne. The table shows the list of tasks and the time taken for Sarah to complete them.

(a) Complete the diagram below to show the tasks and times in the boxes.

(b) Sarah claims she can make this chilli con carne in 55 minutes. Based on the times given, determine if she is correct.

George is planning to have his fence repainted. Last year 3 painters painted the fence in 8 hours. There will be 5 painters painting the fence this year.

All these painters work at the same rate. They start painting at 09:30. They will have a 40 minute break.

Calculate the time they will finish painting the fence.

The votes in a school for a class representative were split as follows:

$\displaystyle \frac{2}{5}$ for Sam

$\displaystyle \frac{4}{9}$ for Ashley
the remaining votes were for Lesley.

Calculate the fraction of votes that were for Lesley.

John has a slope in his back garden. The slope is the height of 8 planks. Each plank is 22.5 cm in height. The planks are 960 cm away from the bottom of the slope.

(a) Calculate the gradient of the slope.

His neighbour Helen also has a slope. The gradient of her slope is 20%. Helen thinks her slope is steeper than John's slope.

(b) Determine if she is correct.

A 240 g steak costs £3.84.

Complete the shelf label to show the price per kilogram.

Stuart's monthly budget is:
£660 for rent and bills
£450 for food and socialising
£90 for savings.

Construct a pie chart to show this information.