Unit 5

Shape A has vertices at (–4, 1), (–1, 1), and (–4, 4). Shape A is enlarged by scale factor k about the origin to produce shape B, which has one vertex at (–8, 2).

A survey was carried out to find the favourite fruit of a group of students. The results are shown in the table below.

A student is chosen at random from the group. What is the probability that this student chose Banana as their favourite fruit? Give your answer as a fraction in its simplest form.

Here is a grouped frequency table showing the ages of attendees at a club:

Estimate the mean age of the attendees at the club. Give your answer to one decimal place.

In an experiment, a bag contains only red and blue counters. Out of 40 counters, 18 are red. A counter is picked at random. Describe, in one sentence, the chance of picking a blue counter.

A die is thrown 12 times. The outcomes are recorded as follows:

Use the results to answer the following questions:

A class records the number of times it rains in London over 10 consecutive days. Rain is recorded on 4 of the days.

Estimate the probability that it rains in London on any given day during this period.

A teacher says, "If I roll a fair six-sided die 60 times, I would expect each number to appear about 10 times." Explain why the teacher is correct.

A spinner has five equal sections numbered 1 to 5. It is spun 30 times and lands on 1 eight times.

Work out the experimental probability of the spinner landing on 1.

The table below shows the results of spinning a spinner 25 times.

a) Complete the table by adding a column for Relative Frequency for each outcome. Write your answers as decimals to 2 decimal places.

A bag contains 120 marbles. 50 are red, 38 are blue and the rest are green. A marble is chosen at random. Calculate the probability that it is green. Give your answer as a fraction and as a decimal to 2 decimal places.