NCFE Maths Level 2 February 2020 Section B

Lottie plays basketball.

She does some shooting practice.
She takes 75 shots.
33 of these shots go in the basket.
What percentage of her shots go in the basket?

The table shows the number of points Lottie scored in Games 7 to 12 this season.

Her median score for these games is 25% higher than her median for Games 1 to 6.

After Game 6, Lottie’s Dad said that he would increase the money in her money box by 20% each time she scored more than her median for the first six games.

Lottie started with £50 in her money box.
How much money will she have after Game 12?

A player’s True Shooting Percentage (TS%) for a game is calculated using
the following formula:

TS% =^50P/_044F+A

Where: P = total points scored
F = number of free throw attempts
A = number of other goal attempts
In her last game of the season, Lottie:
• scored a total of 15 points
• attempted 8 free throws
• made 17 other goal attempts.
Use the rule to calculate Lottie’s TS% for this game.

Lottie reads that the best angle to launch the ball from for free throws is 50°
Calculate the angles A, B and C.

Tick the ones which are 50°

This is a scale drawing of a basketball court.
The scale is 1 : 400

The diameter of the centre circle on the diagram is 0.9 cm
Work out the actual area of the centre circle in m²
Use π = 3.14

There are 15 players in Lottie’s basketball team.
The table shows information about the players:

The coach chooses a forward at random to take a shot.
What is the probability that the player chosen is over 1.8 m tall?
Give your answer as a fraction and as a decimal

Jed is 65 years old.
He drives a car but thinks his eyesight is not as good as it was.
The scatter diagram shows the relationship between the ages of drivers and the
maximum distances at which they can read road signs.

What fraction of the drivers over 65 can read a road sign at over 400 feet?

A Department of Transport survey collected data on the percentages of cars travelling at different speeds on a motorway.
The table shows the results of this survey:

Work out an estimate for the mean speed.

Some drivers driving over the speed limit are invited to go to a Speed Awareness Course instead of getting penalty points.
There is a maximum speed at which a person can drive and be invited to a Speed Awareness Course.
This speed is given by this formula:

M = 1.1L + 9

Where:
M is speed in miles per hour
L is the speed limit

Calculate M when L = 30 miles per hour.

The table shows the number of people attending Speed Awareness Courses each year from 2014 to 2018:

Jed says the mean number of people attending each year for 2017 and 2018 is over 3% percent higher than the mean number for 2014 to 2016.

Is Jed right?

Rani is on placement at a printing company.
The company has an order for some leaflets.

Each page will have a rectangular area of text with a 2 cm margin around it.

The printer can fit an average of 3.9 words of text per cm²
There are 2000 words in total.

What is the minimum number of pages that the printer needs?

Another leaflet is folded like this.

What is the maximum number of printed pages the leaflet can have?

The printer offers two discounts.

A customer wants to buy three boxes of leaflets.
Which offer is cheaper for the customer?

Rani is asked to work out the average number of orders per month last year.
The table shows the number of orders each month.

Work out both the median and the mode for Rani and give one reason why the median is the better average for her to use.

The company’s income in 2019 was £863 490
This was 7% higher than in 2018
Work out the company’s income in 2018

The company also prints t-shirts.

²/₁₁ of the t-shirts are white.

¹/₃ of the remaining t-shirts are black

What is the ratio of white : black t-shirts?