WJEC GCSE Numeracy Unit 1: Non-calculator Higher June 2022 question paper 3310U50-1

People travel by bus or by train from Hiraddug Station. On Tuesday, 420 people travelled by bus from the station. The ratio of the number of people travelling by bus to the number of people travelling by train was 20: 17.

Calculate the number of people who travelled by train from the station on Tuesday.

The price of a ticket to travel by bus to Glaswen Station has increased by 5% in each of the last 2 years. Two years ago, the price of a ticket was £4.

Calculate the current price of a ticket.

Each washer has a thickness of 2 mm, correct to the nearest 0.5 mm.

Calculate the greatest possible thickness of a stack of 6 washers.

OrenVit is a company that produces bottles of orange juice.

The company uses only bottles with a capacity of one litre. Each day, the cost of producing bottles of orange juice is as follows:

Draw a graph to show the total daily cost of producing between 0 and 100 bottles of orange juice.

Use the graph paper below.

One day, OrenVit produces 1750 pints of orange juice in one-litre bottles.

Calculate the cost of producing this quantity of orange juice.

Use the cumulative frequency diagram to give the best estimates for the answers to the following questions.

What is the median length of these ray fish?

How many of these ray fish have lengths greater than 72 cm?

Draw a box-and-whisker plot of this data on the grid below.

Calculate the mass of the carp in November 2021.

The surface area of the Earth is 510 million km². 6.

Write this area in standard form.

Robert’s Plants is a company that grows ornamental trees to sell in its nursery.

The histogram below shows the heights of the 80 trees in the nursery.

Frequency density

Trees that can be sold are at least 50 cm tall.

How many trees are too short to be sold?

Use the histogram to give the best estimates for the answers to the following questions.

What is the median height of the 80 trees?

Circle your answer.

47∙5 cm 48 cm 50 cm 55 cm 60 cm

Calculate the inter-quartile range of the heights of the 80 trees.

Estimate the greatest acceleration that Eliska achieved during the first 8 seconds of her race.

Give your answer in its simplest form.

Use the trapezium rule with exactly 4 strips of equal width to estimate the distance

Eliska travelled during the first 8 seconds of the race.

The speed-time graph below shows Eliska’s speed from t = 8 seconds to t = 48 seconds. The graph shows that her speed increased at a constant rate from t = 8 to t = 16, and at a different constant rate from t = 16 to t = 48.

Speed (m/s)

Eliska’s speed at t = 48 was 1 m/s faster than her speed at t = 16. From t = 8 to t = 48, Eliska travelled 550 m.

Form and solve an equation to calculate Eliska’s speed at time t = 16 seconds.

Eliska’s speed at time t = 16 seconds is_{………........ ………………..} m/s