Daily Practice · Foundation
June 2005 5-a-day
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The batch download puts all 2 tiers' June 2005 sheets in a single PDF, each tier behind its own divider page - 60 sheets in one file.
Every sheet in June 2005
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 2005A data set of 50 exam scores has the 20th percentile at 42 marks and the 80th percentile at 78 marks. Explain what these two values tell you about the middle 60% of scores.
- 2nd June 2005Which spreadsheet formula would you use to find the total of the values in cells B2 to B20?
- 3rd June 2005A supermarket wants to know if a new till layout reduces queuing time. Write a suitable statistical question for the start of the enquiry cycle.
- 4th June 2005Give one disadvantage of an observation study.
- 5th June 2005Two classes have the same median test score. Class A has IQR = 6 and Class B has IQR = 15. Which class's scores are more consistent, and why?
- 6th June 2005A pictogram has a key of 1 symbol = 4 people. A town has 22 people who play chess. How many symbols, including any part-symbol, should be drawn?
- 7th June 2005Using two fair six-sided dice added together, how many ways can you score a total of 7?
- 8th June 2005Find the midpoint of the class interval 10-20.
- 9th June 2005A company's yearly profits are 10, 12, 11, 15, 14 thousand pounds over five years. Describe the general trend.
- 10th June 2005Out of 200 people who ate a certain meal, 10 became ill. What is the risk of becoming ill, as a fraction in its simplest form?
- 11th June 2005A class has 12 boys and 8 girls. One student, a girl, leaves the room. A second student is then chosen at random from those remaining. Find P(second student chosen is a girl given the first was a girl).
- 12th June 2005A newspaper bar chart showing company profit over 5 years has no vertical axis labels or scale, just bars of different heights. Explain the problem with this.
- 13th June 2005Find the midpoint of the class interval 30-50.
- 14th June 2005What is wrong with the question 'Do you not think school lunches are too expensive?'
- 15th June 2005Find the 3-point moving average of 14, 18, 20.
- 16th June 2005A card is drawn at random from a normal 52-card pack. Find P(drawing a King or a Queen).
- 17th June 2005A 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?
- 18th June 2005Name the five values needed to draw a box plot.
- 19th June 2005Give one reason you might choose to keep an outlier in a data set rather than remove it.
- 20th June 2005A region records 90 crimes in a population of 45,000. Find the crude crime rate per 1000 people.
- 21st June 2005A 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?
- 22nd June 2005A 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.
- 23rd June 2005Class A has a mean test score of 62 and Class B has a mean of 58. Which class did better on average?
- 24th June 2005A rent index shows 2019 = 100 and 2024 = 118. Find the actual rent in 2024 if the 2019 rent was 650 pounds.
- 25th June 2005A fair coin is flipped once. What is P(heads)?
- 26th June 2005Student 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?
- 27th June 2005A coin is flipped twice. Find the probability of getting two heads.
- 28th June 2005A pyramid is roughly the same width all the way up, with only a slightly narrower top. What does this suggest?
- 29th June 2005A distribution has mean = mode = median. What does this suggest about its shape?
- 30th June 2005A 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.