What fraction of the group has tickets for both days?
Give your answer in its simplest form.
[2]
Calculate the total cost of the 50 tickets.
You must show all your working.
Total cost of the 50 tickets is £........
[4]
In a survey, 540 people were asked if they preferred pasta, rice or potatoes.
They were asked to choose just one preference. The results are displayed in the accurately-drawn pie chart below.
The sector for potatoes on the pie chart is to be split. 40% of the people who chose potatoes said they preferred chips.
What will be the size of the angle in the sector for chips?
You must show all your working.
[3]
540 people took part in the survey. 
of these people were children..
How many people who took part in the survey were not children?
Number of people who were not children........
[2]
Tomos uses the recipe below to make mushroom risotto. This recipe serves 4 people.
Mushroom Risotto serves 4 people 400 g mushrooms 8 spring onions 25 g butter 200 g rice 1 litre stock 50 g cheese
How many cm3 of stock would Tomos need to make mushroom risotto for 10
people?
[3]
How many kilograms of rice would Tomos need to make mushroom risotto for
48 people?
[2]
Write the ratio of the quantities of butter to rice to cheese in its simplest form.
butter: rice: cheese =........ :........ :........
[2]
Tomos wants to estimate, in ounces, the mass of the mushrooms he would need to make risotto for 4 people. He knows that 1 ounce ≈ 28 grams.
Calculate an estimate for the mass of mushrooms, in ounces, that Tomos needs.
You must show all your working.
[2]
The table below shows the amount of nutrition in one serving of mushroom risotto.
| Nutrition per serving | |||||
| Fat | Carbohydrates | Sugars | Fibre | Protein | Salt |
| 15 g | 37 g | 6 g | 5 g | 14 g | 1 g |
A serving of mushroom risotto gives 
of the maximum amount of salt recommended per day for anyone aged 11 or older.
What is the maximum amount of salt recommended per day for anyone aged 11 or older?
Circle your answer.
1 g 5 g 6 g 10 g 60 g
[1]
The formula below gives the daily recommended mass of protein.
Mass of protein in grams = 0·8 × body mass in kg
Tomos has a body mass of 70 kg. What percentage of his daily recommended mass of protein is there in one
serving of mushroom risotto?
[4]
In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
Rita gives some money to charity. She decides to share this money between 3 different charities.
Rita gives $40 to a children’s charity. This is 
of the total amount of money she gives to the 3 charities. Rita gives 
of the total amount of money to an animal charity. She gives the remaining money to a medical research charity. Calculate how much money Rita gives to the medical research charity.
You must show all your working.
[7]
Last year, Rita’s total income before tax was $30 000.
No income tax was payable on any income below $10 000. Income tax had to be paid at a rate of 22% on any income between $10 000 and $30 000.
How much income tax did Rita pay last year?
[3]
The map below shows part of South West Wales.
Find the bearing of St Brides from Fishguard.
[1]
The distance by road from Haverfordwest to Milford Haven is 12 km.
Estimate the distance by road from Haverfordwest to Fishguard.
[1]
Owain has a different map that has a scale of 1: 25 000.
Owain measures the distance by road from Haverfordwest to Milford Haven on his map. Complete Owain’s statement below.
“On my map, the distance by road from Haverfordwest to Milford Haven is
[3]
Rhodri is organising a 21st birthday party.
Confetti for the party is packed in small boxes. Each box is in the shape of a triangular prism. The cross-section of each box is an isosceles triangle. The measurements are shown on the diagram below.
Show that the perpendicular height of the cross-section of a confetti box is 40 mm.
You must show all your working.
[3]
This is the label on a confetti box.
Calculate the volume of a confetti box to show that the statement on the label is
correct.
[3]
Rhodri finds 2 venues that arrange party nights.
Rhodri calculates the total cost of organising the party at each venue. He finds that the total costs are the same. For how many people is Rhodri planning the 21st birthday party?
You must show all your working.
[3]
Anwen has an outdoor mobile coffee stall.
Give the coordinates of the point through which a line of best fit should be drawn.
Hence, draw a line of best fit on the scatter diagram.
Coordinates of the point are (........ ,........ )
[2]
Estimate the number of cups of coffee that Anwen expects to sell on a day when the rainfall is 2·0 mm.
Use your line of best fit to find your estimate.
Number of cups of coffee is........
[1]
The height of the storage space under Anwen’s serving counter is 97·5 cm, correct to the nearest 0·5 cm.
Anwen is going to buy a recycling bin of height exactly 97·3 cm. Can Anwen be certain that she can fit this bin under her serving counter?
Yes
No
Can’t decide
You must show working to support your answer.
[1]
Giovanni has a takeaway pizza van. He sells whole pizzas and slices of pizza from his van.
For the last 3 days, he has timed how long it takes to complete the food order for each of his customers. Giovanni recorded his results in the table below.
Complete the cumulative frequency table and the cumulative frequency diagram.
| Time, t (minutes) | Frequency | Cumulative frequency |
3  t  5 | 8 | 8 |
5  t  7 | 24 | 32 |
| 7 t 9 | 74 | 106 |
9  t  11 | 40 | .............................. |
11  t  13 | 14 | .............................. |
Cumulative frequency
[2]
Use your cumulative frequency diagram to give the best estimates for the answers to each of the following questions.
Find the median time taken to complete a food order.
The median time is........ minutes.
[1]
Giovanni is concerned that food orders are taking too long to complete. He says,
“Only 25% of the food orders are completed in under........ minutes.”
Use one of the five values below to complete Giovanni’s statement.
6·4 6·6 7·2 8 9·6
[1]
For the last 3 days: • Giovanni spent £180 on ingredients • he spent £220 on the running costs for the pizza van • he received a total of £700 from the food orders.
Calculate Giovanni’s percentage profit.
[3]
Eva grows three varieties of organic potato on her farm: Maris Piper, King Edward and Desiree.
She weighs and records the masses of 400 potatoes of each of the 3 varieties.
Eva constructs box-and-whisker diagrams for the masses of the potatoes weighed.
Complete each of the following statements.
The........ potatoes have the highest median mass.
The median mass of these potatoes is........ g.
[1]
The range of the masses recorded for the Maris Piper potatoes
[2]
In the future, Eva wants to grow potatoes that are quite similar in size.
Use the box-and-whisker diagrams to advise Eva which of these three varieties of
potato she should grow.
Select which variety of potato she should grow.
Maris Piper
King Edward
Desiree
Select the measure you used to help you decide.
Median
Interquartile range
Lower quartile
Select a reason for your choice of measure.
The measure is greater than for the other 2 varieties
The measure is less than for the other 2 varieties
[1]
An old postage stamp has a width of 2 cm and a height of 2·4 cm.
Frank makes a poster that is mathematically similar to the postage stamp, as shown below.
Postage Stamp
Poster
He places a thin tape along the four edges of the poster. Calculate the total length of this tape, correct to 1 significant figure.
You must show all your working.
[4]
The paper as printed
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