WJEC GCSE Maths
A charity is organising a game using this fair spinner.
In the game, each player spins the spinner once.
100 players each pay £x to play the game once. Each player who gets an even number on the spinner wins £3.
The charity expects to make a profit of £130.
Find the value of x.
You must show all your working.
In this question you will be assessed on the quality of your organisation, communication and accuracy in writing.
A charity is organising a game using this fair spinner.
In the game, each player spins the spinner once.
100 players each pay £x to play the game once. Each player who gets an even number on the spinner wins £3.
The charity expects to make a profit of £130.
Find the value of x.
You must show all your working.
Ahmed organises a game using two fair spinners, as shown below.
The first spinner shows the values 10, 20, 30 and 40. The second spinner shows the values 1, 2, 3, 4 and 5.
In the game, the two spinners are spun and the values shown are added to give a score. For example, the spinners above score 32.
Ahmed charges £1 for each attempt at the game. Any player who scores 43 or more wins £5.
Calculate Ahmed’s expected profit when this game is played 100 times.
Two fair spinners are shown in the diagram above. In a game, the two spinners are spun.
The two numbers obtained are multiplied together to get a score. For example, in the diagram above, the score is 6 because 3 
2 
6.
Some of the scores are shown in the table below.
Complete the table to show all the possible scores.
Explain why all the scores are even numbers.
What is the probability that a person gets a score of 10 or more when playing the game
once?
Players are charged £2.50 to play the game once. Each player who gets a score of 10 or more wins £3.50. How much profit would you expect to make when 228 people each play the game once?
You must show all your working.
Two fair spinners are shown in the diagram above. In a game, the two spinners are spun.
The two numbers obtained are multiplied together to get a score. For example, in the diagram above, the score is 6 because 3 2 
6.
Some of the scores are shown in the table below.
Complete the table to show all the possible scores.
Explain why all the scores are even numbers.
What is the probability that a person gets a score of 10 or more when playing the game
once?
Also involves Probability experiments and frequency
Geraint is running a game in a school fair. A large number of balls are placed in a box. Each of the balls is one of three colours: bronze, silver or gold. In the game, a ball is chosen at random from the box. The table below shows the probability of choosing a bronze ball and the probability of choosing a silver ball.
| Colour | Bronze | Silver | Gold |
| Probability | 0·68 | 0·22 |
In the game, each person pays £2 to choose a ball at random from the box. The ball is then returned to the box.
The person wins £3 if a silver ball is chosen. The person wins £8 if a gold ball is chosen. There is no prize for choosing a bronze ball.
100 people each play the game once.
How much profit would you expect Geraint to make?
You must show all your working.
Geraint is running a game in a school fair. A large number of balls are placed in a box. Each of the balls is one of three colours: bronze, silver or gold. In the game, a ball is chosen at random from the box. The table below shows the probability of choosing a bronze ball and the probability of choosing a silver ball.
| Colour | Bronze | Silver | Gold |
| Probability | 0·68 | 0·22 |
In the game, each person pays £2 to choose a ball at random from the box. The ball is then returned to the box.
The person wins £3 if a silver ball is chosen. The person wins £8 if a gold ball is chosen. There is no prize for choosing a bronze ball.
100 people each play the game once.
How much profit would you expect Geraint to make?
You must show all your working.
Sara is in charge of a game at her school’s Christmas party.
Two fair spinners are spun as shown in the example below.
People can make a two-digit number using the numbers shown on the spinners using the following rule:
Multiply the number on the first spinner by 10 and then add the number on the second spinner.
One example, as shown above, makes the number 21, because 2 × 10 + 1 = 21.
How many different numbers can be made playing this game?
Write down all the prime numbers that can be made playing this game.
What is the probability that a person makes a prime number when playing the game
once?
Sara charges each person £1 to play the game once. Each player who makes a prime number from their spins wins £2.
How much profit would the school expect to make when 180 people play the game?
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