Maths (Higher) — IGCSE

13 marksmedium

The table gives information about the heights, $h$ metres, of trees in a wood.

Height( $h$ metres)	Frequency
`0 less than h less-than or slanted equal to 2`	$7$
`2 less than h less-than or slanted equal to 4`	$14$
`4 less than h less-than or slanted equal to 8`	$18$
`8 less than h less-than or slanted equal to 16`	$24$
`16 less than h less-than or slanted equal to 20`	$10$

Draw a histogram to show this information.

q1-medium-6-3-histograms-edexcel-gcse-maths

Your answer

How did you do?/ 3

23 marksmedium

Bill works for a computer service centre.

The table shows some information about the length of time, $t$ minutes, of the phone calls Bill had.

Time( $t$ minutes)	`0 less than t less-than or slanted equal to 10`	`10 less than t less-than or slanted equal to 15`	`15 less than t less-than or slanted equal to 20`	`20 less than t less-than or slanted equal to 30`	`30 less than t less-than or slanted equal to 45`
Number of calls	$12$	$15$	$13$	$18$	$3$

On the grid, draw a histogram to show this information.

q2-medium-6-3-histograms-edexcel-gcse-maths

Your answer

How did you do?/ 3

33 marksmedium

The table gives information about the lengths of time some people were in a supermarket.

Time( $t$ minutes)	Frequency
`0 less than t less-than or slanted equal to 5`	$8$
`5 less than t less-than or slanted equal to 15`	$32$
`15 less than t less-than or slanted equal to 30`	$36$
`30 less than t less-than or slanted equal to 40`	$18$
`40 less than t less-than or slanted equal to 60`	$6$

Draw a histogram for the information in the table.

q3-medium-6-3-histograms-edexcel-gcse-maths

Your answer

How did you do?/ 3

42 marksmedium

Bhavna recorded the lengths of time, in hours, that some adults watched TV last week.

The table shows information about her results.

Length of time( $t$ hours)	Frequency
`0 less-than or slanted equal to t less than 10`	$6$
`10 less-than or slanted equal to t less than 15`	$8$
`15 less-than or slanted equal to t less than 20`	$15$
`20 less-than or slanted equal to t less than 40`	$5$

Bhavna made some mistakes when she drew a histogram for this information.

q4-medium-6-3-histograms-edexcel-gcse-maths

Write down two mistakes Bhavna made.

Your answer

How did you do?/ 2

57 marksmedium

4 marks

(a)

The table gives some information about the lengths of time, in hours, that some adults watched TV last week.

Length of time( $t$ hours)	Frequency
`0 less-than or slanted equal to t less than 10`	$8$
`10 less-than or slanted equal to t less than 15`	$15$
`15 less-than or slanted equal to t less than 20`	$11$
`20 less-than or slanted equal to t less than 30`	$10$
`30 less-than or slanted equal to t less than 50`	$6$

Work out an estimate for the mean length of time.

Your answer

3 marks

(b)

Draw a histogram for the information in the table.

q5b-medium-6-3-histograms-edexcel-gcse-maths

Your answer

How did you do?/ 7

65 marksmedium

3 marks

(a)

Manuel collected information about the flights that arrived late at an airport last month.

The table gives information about the number of minutes that these flights were late.

Minutes late ( $L$ minutes)	Frequency
$0 < L \text{less} - \text{than} or \text{slanted} \text{equal} to 10$	8
$10 < L \text{less} - \text{than} or \text{slanted} \text{equal} to 15$	13
$15 < L \text{less} - \text{than} or \text{slanted} \text{equal} to 25$	19
$25 < L \text{less} - \text{than} or \text{slanted} \text{equal} to 40$	24
$40 < L \text{less} - \text{than} or \text{slanted} \text{equal} to 60$	6

On the grid, draw a histogram for this information.

q14a-4ma1-2h-qp-nov21-paper2-igcse-maths

Your answer

2 marks

(b)

Manuel selected at random a flight that was late by 25 minutes or less from his results.

Work out an estimate for the probability that this flight was late by 5 minutes or less.

Your answer

How did you do?/ 5

75 marksmedium

3 marks

(a)

The table gives information about the heights, in centimetres, of some plants.

Height ( $h$ cm)	Frequency
$10 < h \text{less} - \text{than} or \text{slanted} \text{equal} to 20$	35
$20 < h \text{less} - \text{than} or \text{slanted} \text{equal} to 35$	45
$35 < h \text{less} - \text{than} or \text{slanted} \text{equal} to 50$	75
$50 < h \text{less} - \text{than} or \text{slanted} \text{equal} to 70$	40
$70 < h \text{less} - \text{than} or \text{slanted} \text{equal} to 80$	8

On the grid, draw a histogram for this information.

q18a-paper1h-nov2020-edexcel-igcse-maths

Your answer

2 marks

(b)

Work out an estimate for the number of these plants with a height greater than $40\mathrm{cm}.$

Your answer

How did you do?/ 5

83 marksmedium

The table gives information about the heights of some trees.

Height ( $h$ metres)	Frequency
$0 < h \text{less} - \text{than} or \text{slanted} \text{equal} to 20$	15
$20 < h \text{less} - \text{than} or \text{slanted} \text{equal} to 35$	48
$35 < h \text{less} - \text{than} or \text{slanted} \text{equal} to 40$	21
$40 < h \text{less} - \text{than} or \text{slanted} \text{equal} to 50$	16

On the grid, draw a histogram for this information.

$mXsY48vX_q19-paper1h-june2019-edexcel-igcse-maths$

Your answer

How did you do?/ 3

94 marksmedium

Here is some information about the ages of babies at a clinic.

Age, $x$ (weeks)	Frequency
$0 \text{less} - \text{than} or \text{slanted} \text{equal} to x < 5$	18
$5 \text{less} - \text{than} or \text{slanted} \text{equal} to x < 10$	23
$10 \text{less} - \text{than} or \text{slanted} \text{equal} to x < 20$	17
$20 \text{less} - \text{than} or \text{slanted} \text{equal} to x < 50$	21

Draw a histogram to represent the information.

q21-paper-3h-nov-2021-aqa-gcse-maths

Your answer

How did you do?/ 4

104 marksmedium

(b)

200 people recorded the time they spent on social media one day.

The table shows the results.

Time, t (mins)	Frequency	Class width
$0 \text{less} - \text{than} or \text{slanted} \text{equal} to t < 30$	24
$30 \text{less} - \text{than} or \text{slanted} \text{equal} to t < 50$	76
$50 \text{less} - \text{than} or \text{slanted} \text{equal} to t < 60$	52
$60 \text{less} - \text{than} or \text{slanted} \text{equal} to t < 90$	48

Draw a histogram to represent the results.

q13b-paper-2h-nov-2019-aqa-gcse-maths

Your answer

How did you do?/ 4

113 marksmedium

Here is some information about the ages of people at a concert.

Age, $x$ (years)	Frequency
$10 \text{less} - \text{than} or \text{slanted} \text{equal} to x < 15$	8
$15 \text{less} - \text{than} or \text{slanted} \text{equal} to x < 25$	24
$25 \text{less} - \text{than} or \text{slanted} \text{equal} to x < 40$	30
$40 \text{less} - \text{than} or \text{slanted} \text{equal} to x < 70$	39

Draw a histogram to represent the information.

q18-paper-3h-nov-2018-aqa-gcse-maths

Your answer

How did you do?/ 3

124 marksmedium

(a)

Ceri records the time taken, $t$ minutes, to travel to school for a sample of 168 students at her Academy.

Time taken ( $t$ minutes)	Frequency
$0 < t \text{less} - \text{than} or \text{slanted} \text{equal} to 10$	54
$10 < t \text{less} - \text{than} or \text{slanted} \text{equal} to 20$	50
$20 < t \text{less} - \text{than} or \text{slanted} \text{equal} to 40$	44
$40 < t \text{less} - \text{than} or \text{slanted} \text{equal} to 80$	20

Draw a histogram to represent this information.

q19a-paper5-june2018-ocr-gcse-maths

Your answer

How did you do?/ 4

134 markshard

2 marks

(a)

The histogram shows some information about the salaries of a sample of people.

q1-hard-6-3-histograms-edexcel-gcse-maths

Use the histogram to complete the frequency table.

Salary ( $p$ ) in £1000s	Frequency
`0 less than p less-than or slanted equal to 10`	$4$
`10 less than p less-than or slanted equal to 20`
`20 less than p less-than or slanted equal to 25`
`25 less than p less-than or slanted equal to 35`
`35 less than p less-than or slanted equal to 50`

Your answer

2 marks

(b)

Work out the proportion of people in the sample who have a salary greater than $\pounds 40 000$ .

Your answer

How did you do?/ 4

143 markshard

The incomplete histogram and table give some information about the distances some people travel to work.

UZ9eQ_kM_q2-hard-6-3-histograms-edexcel-gcse-maths

i) Use the information in the histogram to complete the frequency table.

Distance ( $d$ km)	Frequency
$0 < d \text{less} - \text{than} or \text{slanted} \text{equal} to 5$	$30$
`5 less than d less-than or slanted equal to 10`
`10 less than d less-than or slanted equal to 20`
`20 less than d less-than or slanted equal to 30`	$24$
`30 less than d less-than or slanted equal to 50`	$16$

(2 marks)

ii) Use the information in the table to complete the histogram.

(1 mark)

Your answer

How did you do?/ 3

153 markshard

The histogram gives information about house prices in a village in 2015.

q3-hard-6-3-histograms-edexcel-gcse-maths

20 houses in the village have a price between £300000 and £400000. Work out the number of houses in the village with a price under £200000.

Your answer

How did you do?/ 3

163 markshard

(a)

The table gives information about the speeds, in km/h, of $81$ cars.

Speed ( $s$ km/h)	Frequency
`90 less than s less-than or slanted equal to 100`	$13$
`100 less than s less-than or slanted equal to 105`	$16$
`105 less than s less-than or slanted equal to 110`	$18$
`110 less than s less-than or slanted equal to 120`	$22$
`120 less than s less-than or slanted equal to 140`	$12$

On the grid, draw a histogram for the information in the table.

q4a-hard-6-3-histograms-edexcel-gcse-maths

Your answer

How did you do?/ 3

175 markshard

3 marks

(a)

The table gives some information about the speeds, in km/h, of $100$ cars.

Speed( $s$ km/h)	Frequency
$60 < s \text{less} - \text{than} or \text{slanted} \text{equal} to 65$	$15$
`65 less than s less-than or slanted equal to 70`	$25$
`70 less than s less-than or slanted equal to 80`	$36$
`80 less than s less-than or slanted equal to 100`	$24$

On the grid, draw a histogram for the information in the table.

q5a-hard-6-3-histograms-edexcel-gcse-maths

Your answer

2 marks

(b)

Work out an estimate for the number of cars with a speed of more than $85$ km/h.

Your answer

How did you do?/ 5

183 markshard

The histogram shows some information about the ages of the 134 members of a sports club.

q6-hard-6-3-histograms-edexcel-gcse-maths

20% of the members of the sports club who are over 50 years of age are female.

Work out an estimate for the number of female members who are over 50 years of age.

Your answer

How did you do?/ 3

194 markshard

2 marks

(a)

The histogram shows information about the times taken by some students to finish a puzzle.

q7a-hard-6-3-histograms-edexcel-gcse-maths

Complete the frequency table for this information.

Time taken ( $t$ minutes)	Frequency
`0 less than t less-than or slanted equal to 5`	$4$
`5 less than t less-than or slanted equal to 15`
`15 less than t less-than or slanted equal to 25`
`25 less than t less-than or slanted equal to 30`
`30 less than t less-than or slanted equal to 50`

Your answer

2 marks

(b)

Find an estimate for the lower quartile of the times taken to finish the puzzle.

Your answer

How did you do?/ 4

203 markshard

The histogram shows information about the times, in minutes, that some passengers had to wait at an airport.

q8-hard-6-3-histograms-edexcel-gcse-maths

Work out the percentage of the passengers who had to wait for more than one hour.

Your answer

How did you do?/ 3

213 markshard

The histogram gives information about the times, in minutes, some customers had to wait to be served in a restaurant.

q21-paper2hr-nov2020-edexcel-igcse-maths

$14$ customers had to wait less than $10$ minutes to be served.

Work out the number of customers who had to wait less than $60$ minutes to be served.

Your answer

How did you do?/ 3

224 markshard

6550 people took part in a survey. The histogram shows information about the ages of these people.

Histogram with 4 grey bars; x-axis labelled 'x' from 0 to 100, y-axis unlabelled. The first bar is between 0 and 40. The height is 10 small squares. The next bar is 40 to 50. The height is 22 small squares. The next bar is from 50 to 70. The height is 30 small squares. The last bar is from 70 to 100. The height is 3 small squares.

Work out how many of the 6550 people are aged between 40 years and 50 years.

Your answer

How did you do?/ 4

233 markshard

The histogram shows information about the numbers of minutes some people waited to be served at a Post Office.

q19-paper2h-jan2019-edexcel-igcse-maths

Work out an estimate for the proportion of these people who waited longer than $20$ minutes to be served.

Your answer

How did you do?/ 3

243 markshard

q21-4ma1-1hr-qp-jan22-paper1-igcse-maths

The histogram gives information about the weights, in kg, of all the watermelons in a field.

There are 16 watermelons with a weight between 8 kg and 8.5 kg

Work out the total number of watermelons in the field.

Your answer

How did you do?/ 3

254 markshard

A histogram is drawn to represent the heights of a sample of women.

Three of the four bars are shown.

The bar for 170 cm ⩽ height < 180 cm is missing.

q25-paper-1h-nov-2020-aqa-gcse-maths

There are 74 women in the sample.

Complete the histogram.

Your answer

How did you do?/ 4

265 markshard

3 marks

(a)

Here is some information about a tennis club.

q23-paper2h-nov2017-aqa-gcse-maths

There are 30 members with $A<20$ There are 12 members with $65 \text{less} - \text{than} or \text{slanted} \text{equal} to A < 80$ There are no members with $A \text{greater} - \text{than} or \text{slanted} \text{equal} to 80$

Complete the histogram.

Your answer

2 marks

(b)

Work out the total number of members of the club.

Your answer

How did you do?/ 5

274 markshard

The histogram shows the ages, in years, of members of a chess club.

q22-paper2h-specimen2015-aqa-gcse-maths

There are 22 members with ages in the range 40 ⩽ age < 65

Work out the number of members with ages in the range 25 ⩽ age < 40

Your answer

How did you do?/ 4

287 markshard

4 marks

The histogram shows information about the masses of some of the parcels handled by a delivery company in one month.

q15-paper6-nov2019-ocr-gcse-maths

Zoe says

There are fewer parcels weighing between 450g and 700g than parcels weighing between 300g and 450g.

Is Zoe correct? Show how you decide.

Your answer

2 marks

(b)

The delivery company delivered 6500 parcels weighing between 50g and 100g.

Complete the histogram to show this information.

Your answer

1 mark

(c)

Zoe uses the histogram to calculate the number of parcels weighing between 200g and 250g.

Explain why Zoe’s answer is unlikely to be reliable.

Your answer

How did you do?/ 7

295 markshard

30 students completed a puzzle and their times were recorded. All of the students completed the puzzle in less than 50 seconds. The histogram shows information about some of their times.

q12-paper4-nov2018-ocr-gcse-maths

Complete the histogram for those completing the puzzle in less than 10 seconds.

Your answer

How did you do?/ 5

305 markshard

The histogram summarises a health score for a group of people.

q10-paper4-nov2017-ocr-gcse-maths

i) Estimate the fraction of the group who had a score of 45 or more.

(4 marks)

ii) What assumption did you make in answering part (i)?

(1 mark)

Your answer

How did you do?/ 5

314 markshard

150 people took part in a survey. The histogram shows information about the ages of these people.

Bar chart showing frequency density by age. Five bars represent age ranges: 20-30, 30-40, 40-50, 50-60, and 70-80, with varying heights.

Work out how many of these 150 people are aged between 50 years and 55 years.

Your answer

How did you do?/ 4

324 markshard

The incomplete table and incomplete histogram give information about the times, in minutes, that 140 people waited at a station for a train.

Time (t minutes)	Frequency
`0 less than t less-than or slanted equal to 5`	23
`5 less than t less-than or slanted equal to 15`
`15 less than t less-than or slanted equal to 30`
`30 less than t less-than or slanted equal to 40`	18
`40 less than t less-than or slanted equal to 60`	14

Bar chart showing frequency density over time in minutes. Two bars: 0-10 and 10-30 minutes, with the second bar taller than the first.

Complete the table and the histogram.

Your answer

How did you do?/ 4

333 markshard

The histogram gives information about the weights, in grams, of some oranges in a box.

Histogram showing frequency density of weights in grams, with intervals 0-80 on the x-axis and frequency density on the y-axis. Five bars of varying heights.

24 of these oranges weigh less than 20 grams.

Medium oranges weigh between 35 grams and 55 grams.

Work out an estimate for the number of medium oranges in the box.

Your answer

How did you do?/ 3

343 marksvery_hard

The histogram shows information about the weights, in grams, of some plums.

q1-veryhard-6-3-histograms-edexcel-gcse-maths

Work out an estimate for the proportion of these plums with a weight of less than 100 grams.

Your answer

How did you do?/ 3

355 marksvery_hard

3 marks

(a)

The table gives information about the heights of $150$ students.

Height( $h$ cm)	Frequency
`140 less than h less-than or slanted equal to 150`	$15$
`150 less than h less-than or slanted equal to 155`	$30$
`155 less than h less-than or slanted equal to 160`	$51$
`160 less than h less-than or slanted equal to 165`	$36$
`165 less than h less-than or slanted equal to 180`	$18$

On the grid, draw a histogram for this information.

q2-veryhard-6-3-histograms-edexcel-gcse-maths

Your answer

2 marks

(b)

Work out an estimate for the fraction of the students who have a height between $150$ cm and $170$ cm.

Your answer

How did you do?/ 5

364 marksvery_hard

The histogram shows information about the time taken by cyclists to finish a cycle race.

q3-veryhard-6-3-histograms-edexcel-gcse-maths

7 cyclists took 80 minutes or less to finish the race.

i) Work out an estimate for the number of cyclists who took more than 105 minutes to finish the race.

(3 marks)

ii) Explain why your answer to part (i) is only an estimate.

(1 mark)

Your answer

How did you do?/ 4

374 marksvery_hard

The histogram gives information about the distribution of the weights of some onions grown by a farmer.

q4-veryhard-6-3-histograms-edexcel-gcse-maths

Onions less than 60 grams in weight are used for pickling. Onions greater than 120 grams in weight are sold at the market. The rest of the onions are sent to a food processing factory.

A pie chart is drawn using the information opposite to show what the farmer does with the onions he grows.

q4-1-veryhard-6-3-histograms-edexcel-gcse-maths

The angle of the sector for the onions sent to the food processing factory is $x^{\circ}$ . Work out the value of $x$ .

Your answer

How did you do?/ 4

384 marksvery_hard

The histogram shows some information about the weights of a sample of apples.

q5-veryhard-6-3-histograms-edexcel-gcse-maths

Work out the proportion of apples in the sample with a weight between 140 grams and 200 grams.

Your answer

How did you do?/ 4

396 marksvery_hard

3 marks

(a)

A postman records the weight of each parcel that he delivers.

The histogram shows information about the weights of all the parcels that the postman delivered last Monday. No parcels weighed more than 6 $\mathrm{kg}$ .

q15-4ma1-2h-qp-jan21-paper2-igcse-maths

63 of the parcels that the postman delivered last Monday each had a weight between 0.5 $\mathrm{kg}$ and 2 $\mathrm{kg}$ .

Work out the total number of parcels the postman delivered last Monday.

Your answer

3 marks

(b)

The postman picks at random two of the records of the parcels he delivered last Monday.

Work out an estimate for the probability that each parcel weighed more than 2.25 $\mathrm{kg}$ .

Your answer

How did you do?/ 6

405 marksvery_hard

The histogram and the table give some information about the amounts of time, in hours, that Year 11 students at Bergdesh Academy spent, in total, on their homework last week. No student in Year 11 spent longer than 9 hours on their homework.

q18-4ma1-1hr-qp-jan21-paper1-igcse-maths

Time spent on homework ( t hours)	Frequency
$0 < t \text{less} - \text{than} or \text{slanted} \text{equal} to 2$	28
$2 < t \text{less} - \text{than} or \text{slanted} \text{equal} to 4$
$4 < t \text{less} - \text{than} or \text{slanted} \text{equal} to 5$
$5 < t \text{less} - \text{than} or \text{slanted} \text{equal} to 6$
$6 < t \text{less} - \text{than} or \text{slanted} \text{equal} to 9$

Using the information in the histogram and in the table, work out an estimate for the mean amount of time the Year 11 students spent on their homework last week. Give your answer in hours correct to 3 significant figures.

...................................................... hours

Your answer

How did you do?/ 5

415 marksvery_hard

(c)

The incomplete table and incomplete histogram give information about the distance travelled, in order to get to work, by each person working in a large store.

Distance (d km)	Frequency
$0 \text{less} - \text{than} or \text{slanted} \text{equal} to d < 10$	40
$10 \text{less} - \text{than} or \text{slanted} \text{equal} to d < 15$
$15 \text{less} - \text{than} or \text{slanted} \text{equal} to d < 20$
$20 \text{less} - \text{than} or \text{slanted} \text{equal} to d < 30$
$30 \text{less} - \text{than} or \text{slanted} \text{equal} to d < 60$	30

q18-4ma1-1h-qp-june21-paper1-igcse-maths

One of the people working in the store is chosen at random.

By completing the table and histogram, work out an estimate for the probability that the distance travelled by this person, in order to get to work, was greater than 25 km.

Your answer

How did you do?/ 5

425 marksvery_hard

3 marks

(a)

The histogram gives information about the times, in minutes, that some customers spent in a supermarket.

q18-4ma1-2h-qp-jan20-paper2-igcse-maths

Work out an estimate for the proportion of these customers who spent between 17 minutes and 35 minutes in the supermarket.

Your answer

2 marks

(b)

One of the customers is selected at random.

Given that this customer had spent more than 30 minutes in the supermarket,

find the probability that this customer spent more than 36 minutes in the supermarket.

Your answer

How did you do?/ 5

433 marksvery_hard

(b)

The histogram shows information about the ages of all the passengers travelling on a plane. No one on the plane is older than 80 years.

q17-paper1hr-june2019-edexcel-igcse-maths

A passenger on the plane is picked at random.

Work out an estimate for the probability that this person is older than 55 years.

Your answer

How did you do?/ 3

444 marksvery_hard

The histogram gives information about the heights, $h$ cm, of some tomato plants.

q20-4ma1-2h-qp-jan22-paper2-igcse-maths

There are 12 tomato plants for which $75 < h \text{less} - \text{than} or \text{slanted} \text{equal} to 85$ One of the tomato plants is selected at random.

Find an estimate for the probability that this tomato plant has a height greater than 82.5 cm

Your answer

How did you do?/ 4

454 marksvery_hard

A sample of 50 eggs is taken from Farm A.

The table shows information about the masses of the eggs from Farm A.

Farm A

Mass, $m$ (grams)	Frequency
$53 < m \text{less} - \text{than} or \text{slanted} \text{equal} to 58$	8
$58 < m \text{less} - \text{than} or \text{slanted} \text{equal} to 63$	19
$63 < m \text{less} - \text{than} or \text{slanted} \text{equal} to 68$	15
$68 < m \text{less} - \text{than} or \text{slanted} \text{equal} to 73$	8

A sample of 50 eggs is taken from Farm B. The histogram shows information about the masses of the eggs from Farm B.

Farm B

q25-paper-2h-june-2019-aqa-gcse-maths

For medium eggs, 53 g < mass < 63 g

The Farm A sample has more medium eggs than the Farm B sample.

Using the table and the histogram, estimate how many more.

You must show your working.

Your answer

How did you do?/ 4

466 marksvery_hard

4 marks

The histogram shows information about the speed of cars as they pass a checkpoint.

The scale on the frequency density axis is missing.

q26-paper-3h-june-2018-aqa-gcse-maths

The histogram shows information about 480 cars.

How many cars does the first bar represent?

Your answer

2 marks

(b)

Cars with a speed greater than 40 mph are over the speed limit.

Use the histogram to estimate the number of cars that are over the speed limit.

Your answer

How did you do?/ 6

474 marksvery_hard

48 students completed some homework.

This histogram shows information about the times taken.

q24-paper2h-june2017-aqa-gcse-maths

Work out an estimate of the interquartile range. You must show your working.

....................... minutes

Your answer

How did you do?/ 4

488 marksvery_hard

1 mark

(a)

The masses, $m$ kg, of some parcels are shown below.

4	15	14	11	12	3	1	18	13	2	16	10

Jack constructs this grouped frequency table to record the masses.

Mass (m kg)	Tally	Frequency
`0 less-than or slanted equal to m less-than or slanted equal to 5`
`5 less-than or slanted equal to m less-than or slanted equal to 10`
`10 less-than or slanted equal to m less-than or slanted equal to 15`
`15 less-than or slanted equal to m less-than or slanted equal to 20`

Explain why Jack’s table is unsuitable to record the masses.

Your answer

2 marks

(b)

The histogram summarises the times taken, in minutes, by some students to complete a race.

q16b-paper5-nov2020-ocr-gcse-maths

Show that 70 students took between 45 and 70 minutes to complete the race.

Your answer

5 marks

(b)(ii)

Calculate an estimate of the mean time taken to complete the race.

Show your working.

....................................................min

Your answer

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495 marksvery_hard

(b)

The histogram summarises the heights of the 153 members of a swimming club.

q13b-paper4-june2019-ocr-gcse-maths

Members of a rowing club have a median height of 172 cm.

Which club has the greater median height? You must show all your working.

Your answer

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508 marksvery_hard

4 marks

(a)

Ana records the amount of money spent by 140 customers in her shop on one day

Amount spent $( \pounds a )$	Frequency
`0 less than a less-than or slanted equal to 5`	35
`5 less than a less-than or slanted equal to 10`	42
`10 less than a less-than or slanted equal to 15`	20
`15 less than a less-than or slanted equal to 20`	18
`20 less than a less-than or slanted equal to 30`	14
`30 less than a less-than or slanted equal to 50`	11

Draw a histogram to represent this information.

q10a-paper6-june2017-ocr-gcse-maths

Your answer

4 marks

(b)

Ana wants to offer a discount to the customers who spend the most money in her shop.

Voucher Save 10% when you spend more than £...

She wants to give the discount to approximately 25% of her customers.

Suggest a suitable amount of money for Ana to use on her voucher.

Justify your decision.

Your answer

How did you do?/ 8