Daily Practice · Foundation
December 2003 5-a-day
Printing for a group?
The batch download puts all 2 tiers' December 2003 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.
Every sheet in December 2003
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 2003A histogram for exam scores has bars of equal width 10 marks, covering 0-10, 10-20, 20-30, 30-40, with heights 2, 8, 15, 5. How many students took the exam?
- 2nd December 2003Name the five values needed to draw a box plot.
- 3rd December 2003Give one reason you might choose to keep an outlier in a data set rather than remove it.
- 4th December 2003A region records 90 crimes in a population of 45,000. Find the crude crime rate per 1000 people.
- 5th December 2003A youth club has 45 members under 13 and 75 members aged 13 to 17 (120 total). A stratified sample of 40 members is needed. How many aged 13 to 17 should be sampled?
- 6th December 2003A different table shows test scores out of 5 for 30 students: 1 (freq 3), 2 (freq 5), 3 (freq 9), 4 (freq 8), 5 (freq 5). Find the mean score.
- 7th December 2003Class A has a mean test score of 62 and Class B has a mean of 58. Which class did better on average?
- 8th December 2003A rent index shows 2019 = 100 and 2024 = 118. Find the actual rent in 2024 if the 2019 rent was 650 pounds.
- 9th December 2003A fair coin is flipped once. What is P(heads)?
- 10th December 2003Student A rolls a dice 20 times and gets a 6 four times. Student B rolls the same dice 300 times and gets a 6 forty-eight times. Whose relative frequency is a more reliable estimate of the true probability, and what is it?
- 11th December 2003A coin is flipped twice. Find the probability of getting two heads.
- 12th December 2003A pyramid is roughly the same width all the way up, with only a slightly narrower top. What does this suggest?
- 13th December 2003A distribution has mean = mode = median. What does this suggest about its shape?
- 14th December 2003A garden centre sampled 45 out of 3000 trees and found 40 had survived the winter. Estimate how many of the 3000 trees survived the winter.
- 15th December 2003A set of 7 numbers has a mean of 12. Find the total of all 7 numbers.
- 16th December 2003A population has 200 members and a sample of 20 is needed using systematic sampling. Find the sampling interval.
- 17th December 2003What is meant by the independent variable in an experiment?
- 18th December 2003Why must class intervals in a grouped frequency table not overlap?
- 19th December 2003Chart A represents 80 votes and has a 'Green Party' sector of 45 degrees. Chart B represents 150 votes and has a 'Green Party' sector of 30 degrees. Which chart represents more actual Green Party votes?
- 20th December 2003Using the pupils in the previous question, find P(likes football only).
- 21st December 2003A line of best fit passes through the points (0, 4) and (10, 24). Find its gradient.
- 22nd December 2003What word describes a situation where one variable directly causes a change in another?
- 23rd December 2003The Spearman's rank correlation coefficient between hours spent watching TV and test score is rs = -0.4. Describe the strength and direction of the correlation.
- 24th December 2003Give one reason a researcher would carry out a pilot survey.
- 25th December 2003Is 'favourite ice cream flavour' qualitative or quantitative data?
- 26th December 2003Group A has 10 items with mean 50. Group B has 5 items with mean 80. Find the combined mean.
- 27th December 2003The frequencies for four categories are 8, 5, 12, 3. What is the total number of data items?
- 28th December 2003A composite bar for Year 7 shows Boys 20 stacked below Girls, with a total bar height of 45. How many girls are there?
- 29th December 2003A back-to-back stem-and-leaf diagram compares two classes' test scores. For stem 7, Class A (left side) has 3 leaves and Class B (right side) has 4 leaves. Which class had more students scoring in the 70s?
- 30th December 2003On a cumulative frequency graph, what do you plot each cumulative frequency against?
- 31st December 2003Give one limitation of choropleth maps.