Edexcel GCSE Maths
The histogram gives information about the weights, in grams, of some biscuits.
One of these biscuits is taken at random. Work out an estimate for the probability that the biscuit will have a weight between 20 grams and 40 grams.
The table shows information about the distances that 60 people travel to work.
| Distance (d miles) | Frequency |
0  d  10 | 12 |
10 d  20 | 25 |
| 20 d 30 | 10 |
| 30 d 40 | 8 |
| 40 d 50 | 5 |
Draw a frequency polygon for the information in the table.
The cumulative frequency graph gives information about the marks that 60 students got in a test.
For thes 
e 60 students
On the grid below, draw a box plot for the distribution of the marks.
The pass mark for the test was 40 Sian says, “30% of the 60 students passed the test.”
Is Sian correct? You must show how you get your answer.
The histogram gives information about the distances that 60 teachers travelled to school on Monday. The histogram is incomplete.
11 of the teachers travelled between 0 miles and 5 miles. None of the teachers travelled a distance greater than 50 miles. The number of teachers who travelled between 5 miles and 10 miles is the same as the number of teachers who travelled between 20 miles and 30 miles. Complete the histogram.
The table shows information about the times, in minutes, 100 people took to complete a bike race.
| Time (t minutes) | Frequency |
120 t  140 | 12 |
| 140 t 160 | 28 |
| 160 t 180 | 30 |
180  t  200 | 22 |
| 200 t 220 | 8 |
On the grid below, draw a frequency polygon for this information.
The table gives information about the amount of time that each of 150 people were in a shop.
| Time (t minutes) | Frequency |
0  t  10 | 20 |
10 t  30 | 70 |
30  t  35 | 22 |
| 35 t 50 | 30 |
| 50 t 60 | 8 |
On the grid, draw a histogram for this information.
Work out an estimate for the fraction of these 150 people who were in the shop for between 20 minutes and 40 minutes.
The frequency table gives information about the weights of 60 parcels.
| Weight (wkg) | Frequency |
| 0 w 2 | 7 |
2  w 4 | 21 |
| 4 w 6 | 15 |
| 6 w 8 | 11 |
| 8 w 10 | 6 |
Complete the cumulative frequency table.
On the grid opposite, draw a cumulative frequency graph for your table.
Use your graph to find an estimate for the interquartile range.
Use your graph to find an estimate for the number of these parcels with a weight greater than 7.4 kg.
The incomplete table and the incomplete histogram give information about the times taken by some students to run a race.
None of these students had a time for the race such that t ≤ 10 or t 
26
Use the histogram to complete the table.
Use the table to complete the histogram.
The histogram below gives information about the times taken by 43 students to run a different race.
Work out an estimate for the median of the times taken by these 43 students to run the race.
Alan grew 80 plants of the same type outside. The cumulative frequency graph shows information about the heights, in cm, of these plants.
One of the plants is chosen at random.
Find an estimate for the probability that this plant will have a height greater than 90 cm.
Use the graph to find an estimate for the median height.
Use the graph to find an estimate for the interquartile range of the heights.
Alan also grew plants of the same type inside. The interquartile range of the heights of these plants is 30 cm.
Give one comparison between the distribution of the heights of the plants grown inside with the distribution of the heights of the plants grown outside.
The table shows information about the daily rainfall in a town for 60 days.
| Rainfall (R mm) | Frequency |
0  R 5 | 8 |
| 5 R 10 | 24 |
10  R 15 | 13 |
| 15 R 20 | 11 |
| 20 R 25 | 4 |
Draw a frequency polygon for this information.
The cumulative frequency table gives information about the ages of 80 people working for a company.
| Age (a years) | Cumulative frequency |
| 20 a 30 | 20 |
20  a  40 | 48 |
| 20 a 50 | 64 |
| 20 a 60 | 75 |
| 20 a 70 | 80 |
On the grid opposite, draw a cumulative frequency graph for this information.
Use your graph to find an estimate for the median age.
Age (years)
The histogram gives information about the number of hours some students used their phones last week. The histogram is incomplete.
28 students used their phones for between 30 and 40 hours. 24 students used their phones for between 40 and 60 hours.
Use this information to complete the histogram.
No student used their phone for more than 60 hours.
Work out the total number of students.
The table shows information about the weights, in grams, of some potatoes.
| Weight (w grams) | Number of potatoes |
50 w  70 | 20 |
70 w  80 | 50 |
80 w  90 | 60 |
90 w  110 | 30 |
On the grid, draw a histogram for this information.
In an experiment, 60 students each completed a puzzle. The cumulative frequency graph shows information about the times taken for the 60 students to complete the puzzle.
For these 60 students, the least time taken was 24 seconds the greatest time taken was 96 seconds. On the grid below, draw a box plot for the distribution of the times taken by the students.
Chen has this information about the time that it took an operator at a call centre to answer each of 90 calls.
| Time (t seconds) | Cumulative frequency |
0  t 10 | 4 |
| 0 t 20 | 25 |
| 0 t 30 | 70 |
| 0 t 40 | 88 |
| 0 t 50 | 90 |
Chen draws this cumulative frequency graph for the information in the table.
Write down two different things that are wrong with this graph.
The table shows some information about the profit made each day at a cricket club on 100 days.
| Profit (£x) | Frequency |
| 0 x 50 | 10 |
| 50 x 100 | 15 |
| 100 x 150 | 25 |
| 150 x 200 | 30 |
| 200 x 250 | 5 |
| 250 x 300 | 15 |
Complete the cumulative frequency table.
On the grid, draw a cumulative frequency graph for this information.
Use your graph to find an estimate for the number of days on which the profit was less than £125
Use your graph to find an estimate for the interquartile range.
The table gives information about the lengths, in cm, of some pieces of string.
| Length (t cm) | Frequency |
0 t  10 | 15 |
10 t  20 | 20 |
20 t  30 | 50 |
| 30 t 40 | 25 |
| 40 t 50 | 5 |
Amos draws a frequency polygon for the information in the table.
Write down two mistakes that Amos has made.
The table gives information about the distances, in miles, that some Year 10 students live from school.
| Distance (d miles) | Frequency |
| 0 d 1.0 | 90 |
| 1.0 d 1.5 | 48 |
| 1.5 d 2.0 | 22 |
| 2.0 d 3.0 | 8 |
| 3.0 d 5.0 | 12 |
On the grid, draw a histogram for this information.
The histogram below shows information about the distances, in miles, that some Year 11 students live from school.
The number of Year 11 students who live between 1 and 2 miles from school is n.
Find an expression, in terms of n, for the number of Year 11 students who live between 3 and 5 miles from school.
The cumulative frequency table gives information about the heights, in cm, of 40 plants.
| Height (h cm) | Cumulative Frequency |
0 h  5 | 4 |
0  h  10 | 11 |
0 h  15 | 24 |
0 h  20 | 34 |
0 h  25 | 38 |
| 0 h 30 | 40 |
On the grid, draw a cumulative frequency graph for this information.
Use the graph to find an estimate for the median height of the plants.
The grouped frequency table gives information about the time, in minutes, taken by 50 people to solve a puzzle.
| Time (t minutes) | Frequency |
| 0 t 10 | 5 |
| 10 t 20 | 8 |
| 20 t 30 | 12 |
| 30 t 40 | 15 |
| 40 t 50 | 7 |
| 50 t 60 | 3 |
Brian was asked to draw a cumulative frequency table for this information. This is the table that Brian drew.
| Time (t minutes) | Cumulative frequency |
| 0 t 10 | 5 |
| 10 t 20 | 13 |
| 20 t 30 | 25 |
| 30 t 40 | 40 |
| 40 t 50 | 47 |
| 50 t 60 | 50 |
Write down one thing that is wrong with this cumulative frequency table.
Some people took part in the first round of a competition. The histogram gives information about the scores of these people in the first round.
20% of the people got a score high enough for them to qualify for the second round. Work out an estimate for the score needed to qualify for the second round. You must show all your working.
Also involves Percentages
The table gives information about the weekly wages of 80 people.
| Wage (£w) | Frequency |
| 200 w 250 | 5 |
| 250 w 300 | 10 |
| 300 w 350 | 20 |
| 350 w 400 | 20 |
| 400 w 450 | 15 |
| 450 w 500 | 10 |
Complete the cumulative frequency table.
On the grid opposite, draw a cumulative frequency graph for your completed table. Juan says “60% of this group of people have a weekly wage of £360 or less.”
Is Juan correct? You must show how you get your answer.
Wage (£)
The histogram gives information about the distances 80 competitors jumped in a long jump competition.
Calculate an estimate for the mean distance.
Also involves Probability
The cumulative frequency table shows information about the times, in minutes, taken by 40 people to complete a puzzle.
| Time (m minutes) | Cumulative frequency |
| 20 m 40 | 5 |
| 20 m 60 | 25 |
| 20 m 80 | 35 |
| 20 m 100 | 38 |
| 20 m 120 | 40 |
On the grid below, draw a cumulative frequency graph for this information.
Use your graph to find an estimate for the interquartile range.
One of the 40 people is chosen at random.
Use your graph to find an estimate for the probability that this person took between 50 minutes and 90 minutes to complete the puzzle.
The histogram gives information about the heights, in metres, of the trees in a park. The histogram is incomplete.
20% of the trees in the park have a height between 10 metres and 12.5 metres. None of the trees in the park have a height greater than 25 metres.
Complete the histogram.
The grouped frequency table gives information about the times, in minutes, that 80 office workers take to get to work.
| Time (t minutes) | Frequency |
0 t  20 | 5 |
20 t  40 | 30 |
| 40 t 60 | 20 |
| 60 t 80 | 15 |
| 80 t 100 | 8 |
| 100 t 120 | 2 |
Complete the cumulative frequency table.
On the grid, draw the cumulative frequency graph for this information.
Use your graph to find an estimate for the percentage of these office workers who take more than 90 minutes to get to work.
The table shows information about the heights of 80 plants.
| Height (h cm) | Frequency |
| 10 h 20 | 7 |
20 h  30 | 13 |
| 30 h 40 | 14 |
| 40 h 50 | 12 |
| 50 h 60 | 16 |
60 h  70 | 18 |
Find the class interval that contains the median.
On the grid, draw a frequency polygon for the information in the table.
The histogram gives information about the distribution of the weights of some onions grown by a farmer.
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.
The angle of the sector for the onions sent to the food processing factory is x °. Work out the value of x.
The times that 48 trains left a station on Monday were recorded.
The cumulative frequency graph gives information about the numbers of minutes the trains were delayed, correct to the nearest minute.
The shortest delay was 0 minutes. The longest delay was 42 minutes.
On the grid below, draw a box plot for the information about the delays on Monday.
48 trains left the station on Tuesday. The box plot below gives information about the delays on Tuesday.
Compare the distribution of the delays on Monday with the distribution of the delays on Tuesday.
Mary says,
“ The longest delay on Tuesday was 33 minutes. This means that there must be some delays of between 25 minutes and 30 minutes.”
Is Mary right? You must give a reason for your answer.
The table shows information about the distances 570 students travelled to a university open day.
| Distance (d miles) | Frequency |
| 0 d 20 | 120 |
| 20 d 50 | 90 |
| 50 d 80 | 120 |
| 80 d 150 | 140 |
150 d  200 | 100 |
Draw a histogram for the information in the table.
Estimate the median distance.
The histogram shows information about the times taken by some students to finish a puzzle.
Complete the frequency table for this information.
Find an estimate for the lower quartile of the times taken to finish the puzzle.
The table gives information about the heights of 150 students.
On the grid, draw a histogram for this information.
Work out an estimate for the fraction of the students who have a height between 150 cm and 170 cm.
Also involves Measures of dispersion · Cumulative frequency graphs
The cumulative frequency graph shows information about the weights of 60 potatoes.
Use the graph to find an estimate for the median weight.
Jamil says,
“80 − 40 = 40 so the range of the weights is 40 g.”
Is Jamil correct? You must give a reason for your answer.
Show that less than 25% of the potatoes have a weight greater than 65 g.
The cumulative frequency graph shows some information about the heights, in cm, of 60 students.
Work out an estimate for the number of these students with a height greater than 160 cm.
The histogram shows some information about the ages of the 134 members of a sports club.
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.
Memes
Laugh now. Cry in the exam hall later. Then come back and do a past paper.
Mum 💖
did you do your maths homework sweetie?? 🥰
yes I solved for x
proud of you!!!
📱 Screen time this week · TikTok6h 7m
Maths starter pack