Daily Practice · Foundation
January 2021 5-a-day
Printing for a group?
The batch download puts all 2 tiers' January 2021 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.
Every sheet in January 2021
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 2021Two fair six-sided dice are rolled and the scores are multiplied together. How many cells are in the sample space diagram?
- 2nd January 2021What value do you plot on the horizontal axis for each class of a frequency polygon?
- 3rd January 2021A time series of monthly temperatures shows one May with a temperature far below every other May on record. What might this value be called?
- 4th January 2021In a trial, 3 out of 150 patients taking a new drug had side effects. Write this risk in '1 in n' form.
- 5th January 2021A drawer has 7 black socks and 5 white socks. Two socks are taken without replacement. Find P(second sock is black given the first sock was black).
- 6th January 2021A line graph's horizontal (time) axis has unequal gaps between the years labelled: 2010, 2011, 2015, 2016. Why could this mislead a reader?
- 7th January 2021The table shows weights, in kg, of 20 parcels: 0-5 (freq 4), 5-10 (freq 10), 10-15 (freq 6). Estimate the mean weight.
- 8th January 2021Rewrite the response options '0-5, 5-10, 10-15' so that they no longer overlap.
- 9th January 2021A series of 4-point moving averages is 45, 48, 52, 55. Describe the trend shown by these values.
- 10th January 2021A game has four mutually exclusive outcomes: win, draw, lose, abandoned. P(win) = 0.45, P(draw) = 0.2, P(abandoned) = 0.05. Find P(lose).
- 11th January 2021State one reason why a histogram has no gaps between its bars, unlike a bar chart.
- 12th January 2021Box plot A has a median of 50 and box plot B has a median of 42, for the same type of data. What does this tell you about the two data sets?
- 13th January 2021A shop records daily sales in pounds: 340, 355, 360, 348, 2, 352. Which value looks like a data entry error?
- 14th January 2021A town of population 10,000 records 20 births in a year. Find the crude birth rate per 1000 people.
- 15th January 2021A researcher wants a stratified sample of 30 from a population of 300 split into three regions: North (90 people), South (150 people) and East (60 people). She actually samples 9 from the North, 14 from the South and 7 from the East. Show whether her sample is correctly stratified, stating the correct numbers if not.
- 16th January 2021Using the same table (0:4, 1:10, 2:4, 3:2), find the median number of siblings.
- 17th January 2021Data set X has a range of 12 and data set Y has a range of 5. Which data set is more consistent?
- 18th January 2021An index number is 140 with a base value of 20. Find this year's value.
- 19th January 2021A bag has 4 yellow and 6 white balls. What is P(picking a yellow ball)?
- 20th January 2021A dice is rolled 120 times and shows a 6 on 15 of those rolls. Find the relative frequency of rolling a 6.
- 21st January 2021A bag has 4 green and 6 yellow balls. One ball is drawn, replaced, then a second is drawn. Find P(both yellow).
- 22nd January 2021A pyramid has a wide base and a narrow top. What does this suggest about the population?
- 23rd January 2021A distribution has a long tail of high values on the right. What type of skew is this?
- 24th January 2021A quality inspector samples 120 items from a batch of 15000 and finds 3 defective, but the sample was taken only from items made in the last hour of the day. Explain why her estimate might not be reliable, and give the estimate assuming the sample were representative.
- 25th January 2021Find the mode of 5, 6, 5, 8, 6, 6, 9.
- 26th January 2021State one disadvantage of quota sampling.
- 27th January 2021Give one reason why participants should be assigned to groups at random.
- 28th January 2021A class interval is written 10 <= x < 20. Which of these values belong in it: 10, 20, 15?
- 29th January 2021A pie chart represents 60 people. What angle represents 1 person?
- 30th January 2021A rectangle labelled 20 contains two non-overlapping circles for events A and B with 8 and 5 inside them. How many outcomes are outside both circles?
- 31st January 2021Using the line of best fit from the previous question, estimate the y-value when x = 6.