Nicole is on holiday in France.
She spends €19.50 in a cafe.
The exchange rate is £1 = €1.15
Calculate how much Nicole spends in pounds (£).
Carly and James share some money in the ratio 7 : 4
Carly gets £72 more than James.
Work out how much money James gets.
Solve 4m−25=10+9m4m - 25 = 10 + 9m4m−25=10+9m
Dermot bakes 250 cakes.
He bakes only vanilla cakes, banana cakes and lemon cakes.
120 of the cakes are vanilla cakes.
34% of the cakes are banana cakes.
Work out the number of lemon cakes Dermot bakes.
Last year Patrick paid £2819 \pounds 2819\,£2819 for his annual train ticket.
This year he has to pay £3124 \pounds 3124\,£3124 for his annual train ticket.
Work out the percentage increase in the cost of his train ticket.
Give your answer correct to 3 significant figures.
120 students are asked whether they like biology or chemistry or physics best.
65 of the students are in year 11, the rest are in year 10.
45 students like physics best.
26 of the year 11 students like biology best
14 of the 32 students who like chemistry best are in year 10.
Work out how many year 10 students like physics best.
Caleb makes a cola drink.
He is doing a taste test.
He asks 100 people if they prefer cola A or cola B.
52 of the people asked were male.
21 of the 49 people that prefer cola A are female.
Use this information to complete the frequency tree.
One of the 100 people is chosen at random.
Write down the probability that this person is male and preferred cola A.
The table shows some information about the favourite television channel of some people.
| Channel | Frequency | Angle of Sector |
|---|---|---|
| BBC 1 | 90° | |
| BBC 2 | 152 | |
| ITV | ||
| Channel 4 | 218 | |
| Total | 720 |
Draw an accurate pie chart to show this information.
A circle is enclosed by a square as shown in the diagram.
Each side of the square measures 8cm.
Find the area of the shaded region.
Give your answer correct to 1 decimal place.
