Hannah records her time spent swimming, running and cycling during four months. The composite bar chart gives her results.

(a) In which month does Hannah spend the most time running? [1]

(b) In May, her swimming time is 9 hours more than her cycling time. Find her swimming time in July. [2]

The table gives the favourite drinks of 60 students.

(a) Complete the two missing angles. [2]

(b) Draw and label a pie chart representing this information. [2]

A company sells items on a website and in shops. The composite bar chart gives percentages for January, February and March.

(a) In April, \(17/20\) of sales were on the website. Draw the April bar. [2]

(b) February sales totalled \(\$3.5\) million. Find the value of shop sales. [3]

(c) Sales were \(\$6\) million in May and \(\$7.5\) million in June. Find the percentage increase. [3]

(d) Total 2024 sales were \(\$52\) million, an increase of \(30\%\) on 2023. Find total 2023 sales. [2]

The pie chart shows how 600 students travel to school.

(a) Find how many students walk. [2]

(b) 120 travel by car; all remaining students travel by bus. Complete the pie chart. [3]

A car park has 20 cars, of which 3 are blue.

(a) Find the blue-car sector angle in a pie chart. [2]

(b) A car is chosen at random. Find P(not blue). [1]

The numbers of pizzas delivered each month for a year are 48, 44, 39, 28, 57, 22, 36, 41, 54, 57, 49, 52.

(a) Complete the stem-and-leaf diagram, with stems 2, 3, 4, 5 and key 4 | 8 = 48 pizzas. [2]

(b) Find the median. [1]

Stefan records his waiting times in minutes on ten days: \(1,3,12,5,4,23,5,24,11,8\).

Key: \(0\mid1\) represents 1 minute.

(a) Complete the ordered stem-and-leaf diagram. [2]

(b) Find the median. [1]

Anna records her daily numbers of text messages for 14 days: \(17,15,31,38,31,22,13,18,21,27,28,21,31,29\).

(a(i)) Draw a stem-and-leaf diagram with stems 1, 2 and 3. Include a key. [3]

(a(ii)) Find the median. [1]

(a(iii)) Find the mode. [1]

(a(iv)) Find the range. [1]

(b) A shop has 4 red and 8 grey phones. Anna and Pete each pick one phone at random without replacement. Find the probability both choose grey. [2]

Race times (minutes) for 15 people are shown in the stem-and-leaf diagram. Key: \(1\mid6\) represents 16 minutes.

(a) Find the mode. [1]

(b) Find the range. [1]

(c) Find the median. [1]

Plant heights (cm) are shown below. Key \(10\mid4\) means 10.4 cm.

(a) Find the median. [1]

(b) Find the mean. [2]

Monday bird counts are shown.

(a) Find the percentage that are Starlings. [2]

(b(i)) Complete the three missing sector angles. [2]

(b(ii)) Complete the pie chart. [2]

(c) On Tuesday the Goldfinch count is 262.5% more than on Monday. Find Tuesday’s count. [2]

(d(i)) There are about 1500 million birds in a region. Write this number in standard form. [1]

(d(ii)) The region has area 21.2 million square kilometres. Find the average number of birds per square kilometre. [2]

Find the red-car sector angle in a pie chart. [2]

Parcel masses (kg): \(0.3,0.4,1.2,0.8,1.1,2.1,1.7,1.8,1.2,2.3,0.7,1.1\).

(a) Complete a stem-and-leaf diagram with stems 0, 1, 2 and key \(0\mid3\) means 0.3 kg. [2]

(b) Find the median. [1]

Daily bus passenger counts for 14 days: 15, 18, 22, 17, 35, 38, 24, 19, 19, 24, 25, 31, 36, 29.

(a) Complete a stem-and-leaf diagram with stems 1, 2, 3 and key 1 | 5 = 15 passengers. [2]

(b) Find the median. [1]

The stem-and-leaf diagram shows the hours that 16 students studied last week.

Key: 1 | 2 represents 12 hours.

(a) Find the median. [1]

(b) Find the mode. [1]

(c) Find the range. [1]

Emma completes 15 mathematics questions. Times in minutes are shown below.

Key: 2 | 0 = 20 minutes.

Find the mode, median and range. [3]

The diagram shows the numbers of items bought by 22 people in a supermarket.

Key: 1 | 1 represents 11 items.

(a) Find the mode. [1]

(b) Find the median. [1]

The diagram shows the ages in years of 15 women.

Key: 3 | 1 represents 31 years.

Find the modal age, median age and percentage older than 51. [3]

The numbers of swimmers recorded on 12 days are 24, 28, 13, 38, 15, 26, 45, 21, 48, 36, 18, 38.

(a) Complete a stem-and-leaf diagram with stems 1, 2, 3, 4 and key 1 | 3 = 13 swimmers. [2]

(b) Find the median number of swimmers. [1]

The table shows how children in Ivan’s class travel to school.

Find the pie-chart sector angle for children who walk. [2]

120 students choose their plans after leaving school.

Complete a pie chart; label each sector. [4]

The pie chart represents 72 holidays.

(a) 24 holidays are in Thailand. Show that its sector angle is 120°. [2]

(b) Malaysia’s angle is 150°. Singapore’s angle is twice Hong Kong’s. Find the number of holidays in Hong Kong. [3]

Find the pie-chart sector angle for mango. [2]

Bruce’s 18 golf scores are 2, 3, 4, 5, 4, 6, 2, 3, 4, 4, 5, 3, 4, 3, 5, 4, 4, 4. Find the pie-chart angle for score 4. [2]

Pie charts show mathematics grades. There are 140 girls and 180 boys.

(a(i)) For the Girls’ chart, find x. [2]

(a(ii)) Find the Girls’ angle for B, C or D. [1]

(b) Find the percentage of Boys achieving E, F or G. [2]

(c(i)) Find the percentage of all students achieving A or A*. [3]

(c(ii)) How many more boys than girls achieved B, C or D? [2]

80 girls recorded their examination completion times.

(d(i)) Estimate the mean time. [4]

(d(ii)) On a histogram the 60–80 column has height 2.8 cm. Find the other three column heights. Do not draw it. [4]

60 students report their favourite drink.

(a) Find the Lemonade sector angle. [1]

(b) Find the number choosing Banana shake. [1]

(c) The pie chart radius is 3 cm. Find the Cola arc length. [2]

60 cars each use just one type of fuel.

(a) State the mode. [1]

(b) Find the angle of the Diesel sector in a pie chart. [2]

(c) Find, as a simplified fraction, the probability that a random car uses Electricity. [2]