A theme park asked 900 people to choose their favourite activity from a list of five - OCR - GCSE Maths - Question 4 - 2019 - Paper 1

From the pictogram, we see that water rides are represented by 4 symbols and family rides by 2 symbols. Thus:

• People who chose water rides: $4 imes 100 = 400$
• People who chose family rides: $2 imes 100 = 200$

To find how many more chose water rides than family rides, we calculate:

$400 - 200 = 200$

Therefore, 200 more people chose water rides than family rides.

Since all 900 people chose one of the five activities, we can calculate the total number of people who chose children's rides as follows:

$900 - (300 + 200 + 400) = 0$

This means there are no symbols representing children’s rides. We can conclude that 0 people chose children's rides, and thus no additional symbols need to be added to the pictogram.

To find the probability that Will wins, we first count how many cards out of the 20 are prime numbers. The prime numbers between 1 and 20 are:

2, 3, 5, 7, 11, 13, 17, 19

This gives us a total of 8 prime numbers. Therefore, the probability that Will wins can be calculated as:

$P( ext{Winning}) = \frac{ ext{Number of Prime Numbers}}{ ext{Total Cards}} = \frac{8}{20} = \frac{2}{5}$

Thus, the answer is (\frac{2}{5}).

The original cost of a family ticket is £68. If bought online, the ticket costs 15% less. First, we calculate the discount:

$15\% \text{ of } 68 = 0.15 \times 68 = 10.2$

Now, subtract the discount from the original price:

$68 - 10.2 = 57.8$

Therefore, the cost to buy a family ticket online is £57.80.