Session 2/1Averages / Probability
Question 1
The sizes of the first eleven pairs of shoes sold in a shop one morning are
8545710951156
(a)What is the mode of the data?
......
Answer ......
(1)
(b)What is the median shoe size?
......
Answer ......
(2)
(c)Which of the mode or median would be more useful to the shopkeeper when he is ordering more shoes?
Explain your answer.
......
......
(1)
(Total 4 marks)
Question 2
The two-way table gives some information about how 100 children travelled to school one day.
Walk / Car / Other / TotalBoy / 15 / 14 / 54
Girl / 8 / 16
Total / 37 / 100 / 100
(a) Complete the two-way table.
(3)
One of the children is picked at random.
(b) Write down the probability that this child walked to school that day.
......
(1)
One of the girls is picked at random.
(c) Work out the probability that this girl did not walk to school that day.
......
(2)
(Total 6 marks)
Total Mark / 10
Session 2/2Averages / Probability
Question 1
The two-way table shows some information about the colours of bricks in a box and the colours of bricks in a bag.
yellow / green / red / TotalBox / 13 / 28
Bag / 6 / 4
Total / 20 / 50
(a)Write down the total number of bricks in the box.
…………..
(1)
(b)Complete the two-way table.
(3)
One of these 50 bricks is to be picked at random.
(c)Work out the probability that this brick will be yellow.
………………..
(d)Work out the probability that this brick will NOT be red.
………………..
(1)
(Total 6 marks)
Question 2
Sethina recorded the times, in minutes, taken to repair 80 car tyres.
Information about these times is shown in the table.
Time(tminutes) / Frequency0t 6 / 15
6t 2 / 25
12t 18 / 20
18t 24 / 12
24t 30 / 8
Calculate an estimate for the mean time taken to repair each car tyre.
...... minutes
(Total 4 marks)
Total Mark / 10
Session 2/3Averages / Probability
Question 1
A company puts this advert in the local paper.
AQA Motor CompanyMechanic needed
Average wage over £400 per week
The following people work for the company.
Job / Wage per week (£)Apprentice / 200
Cleaner / 200
Foreman / 350
Manager / 800
Mechanic / 250
Parts Manager / 520
Sales Manager / 620
(a)What is the mode of these wages?
......
...... …
Answer £ ......
(1)
(b)What is the median wage?
...... …
Answer £ ......
(2)
(c)Calculate the mean wage.
...... …
...... …
Answer £ ......
(3)
(Total 6 marks)
Question 2
In a raffle 200 tickets are sold.
There is only one prize.
Mr Key buys 10 tickets.
Mrs Key buys 6 tickets.
Their children, Robert and Rachel, buy 2 tickets each.
(a)Which member of the family has the best chance of winning the prize?
Give a reason for your answer.
......
......
(1)
(b)What is the probability that Mrs Key wins the prize?
......
Answer ......
(1)
(Total 2 marks)
Question 3
The probabilities of the following events have been marked on the probability scale below.
A:The next person to pass you will be less than 80 years old.
B:Tomorrow will be Sunday.
C:A fair three-sided spinner, coloured red, blue and green, will land on red.
Label each arrow with a letter to show which event it represents.
(Total 2 marks)
Total Mark / 10
Session 2/4Averages / Probability
Question 1
Mason writes down his science homework marks for the last 10 homeworks.
Here are his marks
9, 6, 5, 9, 6, 10, 7, 3, 9, 8
(a)Write down the mode.
..……………..
(1)
(b)Work out the range.
..……………..
(2)
(c)Work out the mean.
……………….
(2)
(Total 5 marks)
Question 2
The table shows some information about the colours of Ford cars and Honda cars in a garage.
White / Blue / Red / TotalFord / 10 / 41
Honda / 14
Total / 18 / 32 / 80
(a) Write down the total number of blue cars.
………………….
(1)
(b) Complete the table.
(3)
One of these cars is picked at random.
(c) Write down the probability that this car will be a Ford car.
….……………….
(1)
(Total 5 marks)
Total Mark / 10
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