NCFE Maths Level 2 December 2019 Section A

Zak is a journalist.
He is writing an article about the local weather.
This table shows the highest and lowest temperatures in Zak’s town for two different years.

Which year had the greater difference between highest and lowest temperatures?

Zak works out the percentage of days last year that the temperature fell below 0 °C

His calculator gives the answer 8.219178082

Write this percentage to 2 decimal places.

The highest temperature recorded in Zak’s town this year was 32.9 °C
Zak writes the headline,

“Temperature reaches 95 ºF!”

A formula to convert between °C and °F is: °C = 5 × (°F – 32) ÷ 9

Is Zak’s headline correct?

Zak looks at the weather forecast.
This table shows the highest daily temperatures forecast for the next eight days.

• The median of the ten temperatures is 17.5 °C and
• the ten temperatures have two modes.

Use this information to find the forecast temperatures for Day 9 and Day 10.

Zak wants to find out how accurate the weather forecast is.
This table shows the last 6 months’ forecasts for rain.
It also shows the number of days that it actually rained or stayed dry.

Was the forecast more likely to be right when it was for rain or when it was for dry weather?

This scatter diagram shows the relationship between forecast temperatures and actual temperatures for the town over nine days.
The line represents the points at which the forecast and actual temperatures are the same.

A forecast is recorded as “accurate” if the actual temperature is within 2 °C of the forecast temperature.

Zak writes that, “The temperature forecast was accurate for less than 70% of the time”.

Is Zak correct?

Zak wants to include a map in his article.
The map must be to scale.
The map shows a part of the country that is 30 km wide and 48 km long.
It must fit into a space that is no more than 12 cm wide and 16 cm long.

The map is scaled down to fit into the space.
In the article, what distance, in km, will 1 cm on the map represent?