Dean went to the gym yesterday afternoon.
The graph shows the distance Dean was from home during yesterday afternoon.
Distance from home (km)
How far away from home was Dean at 15:15?
Circle your answer.
15∙5 km 15 km 16∙5 km 16 km 17 km
[1]
At what time did Dean arrive back home?
Circle your answer.
5:30 p.m. 5:30 a.m. 5:15 p.m. 5:10 p.m. 5:00 a.m.
[1]
A water tank is filled every morning.
The graph below shows the depth of water in the tank between 8:00 a.m. and 9:00 a.m. on Friday and Saturday.
Depth of water (mm)
What was the difference between the depth of water on Friday and on Saturday at
8:20 a.m.?
[2]
Consider the time interval between 8:10 a.m. and 8:50 a.m. At what time was the depth of the water in the tank the same on both Friday and
Saturday?
[1]
The tank can hold water to a depth of 400 mm.
On Saturday, at what time was the water in the tank half this depth?
8:28 a.m. 8:20 a.m. 8:35 a.m. 8:12 a.m. 8:30 a.m.
[1]
Dafydd wants to learn to play the saxophone.
Saxophone lessons will cost him a total of £300. He needs to pay a deposit of £18 to book the lessons.
What percentage of the total cost of the lessons is the deposit?
[2]
Use this section of a map of Wales to answer this question.
The map is drawn to scale.
Complete each of the following statements.
‘The bearing of Llanbister from Rhayader is........ °. ‘
[1]
‘The bearing of Bleddfa from Llanbister is........ °.’
[1]
Cwmbelan is 2 miles from Llanidloes.
Sioned travelled from Rhayader to Crossgates in 30 minutes. Calculate her approximate average speed. Give your answer in miles per hour (mph).
You must show all your working.
[4]
Three different stores sell bananas.
You can assume that the mass of a banana in each of the stores is 100 g.
Sid needs to buy 24 bananas.
Calculate how much Sid would pay in each of the stores. In which store will he be able to get 24 bananas for the least amount of money?
You must show all your working.
[7]
The skeleton of a dinosaur was found in Wyoming, USA, in 2008. This skeleton is now on display in a shopping mall in Dubai. Here are some facts about this skeleton. • It was transported 7500 miles from Wyoming to Dubai. • It is over 155 million years old. • It is 80 feet long and 25 feet tall.
How far was the skeleton transported?
Give your answer in kilometres.
[2]
Calculate how long and how tall the skeleton is in metres.
The skeleton is........ m long and........ m tall
[4]
Assume: • the skeleton had been transported complete in one crate, • the crate was in the shape of a cuboid.
Which of the following would be the best estimate of the volume of the crate?
Circle your answer.
[1]
Which of the following is 155 million written in standard form?
Circle your answer.
[1]
Penystrad is a mountain village. The daily rainfall for April 2021 is given in the table below.
| Daily rainfall, r (mm) | Number of days |
0  r  6 | 15 |
6  r  12 | 11 |
12  r 18 | 3 |
18 r  24 | 1 |
Wesley asks,
Explain why it is not possible to answer Wesley’s question using the table shown
above.
[1]
Calculate an estimate for the mean daily rainfall for the 30 days of April.
[4]
Glanwen is a different village.
During the first 25 days of April in Glanwen, the mean daily rainfall was 4∙4 mm. It did not rain in Glanwen during the last 5 days of April. Calculate the mean daily rainfall in Glanwen for April.
Give your answer correct to 3 significant figures.
[4]
Sara makes and sells handmade chocolates.
She makes boxes for her chocolates in the shape of a tetrahedron. Sara uses thin card to make each box. The length of each edge of the box is 5 cm.
What is the total length of the edges of one box?
Circle your answer.
15 cm 30 cm 40 cm 45 cm 60 cm
[1]
Each box contains 4 chocolates. Each chocolate costs Sara 7p to make. She can make 25 boxes from thin card for 50p. Sara makes just enough chocolates and boxes to sell 150 boxes of chocolates.
Sara makes 20% profit from selling all 150 boxes of chocolates. How much profit does Sara make?
You must show all your working.
[6]
Bethan works as an office manager at a medical centre.
Last Monday, 60 patients each had an appointment with a doctor. Bethan recorded how long each patient’s appointment lasted. Her results are given in the table below.
| Length of time, t (minutes) | 0  t  4 | 4  t 8 | 8  t  12 | 12 t 16 | 16 t  20 | 20  t 24 |
| Number of patients | 4 | 24 | 18 | 6 | 2 | 6 |
Complete the following cumulative frequency table.
| Time, t (minutes) | t  0 | t  4 | t 8 | t  12 | t 16 | t 20 | t 24 |
| Cumulative frequency | 0 | 4 | 28 | 60 |
[1]
Each patient is given 10 minutes for their appointment. Use your graph to give the best estimate for the number of appointments that lasted longer than 10 minutes.
Give your answer correct to the nearest whole number of appointments.
[2]
Of the patients seen last Monday, what percentage spent longer than 20 minutes with
the doctor?
[2]
The median length of the appointments last Tuesday was 11.5 minutes. (e) How much shorter was the median length of the appointments on Monday?
Give your answer correct to the nearest minute.
[2]
Bethan is considering changing the time given for each patient’s appointment to 12 minutes. She would set a target of 80% of patient appointments taking less than or equal to 12 minutes. Would this target have been met last Monday?
You must show all your working.
[3]
The paper as printed
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