السلام عليكم و رحمة الله و بركاته
أعزائي ساعدوني في حل هذه الأسئلة
Question 1
If you had £120 in cash to spend, which of the following options would you be able to afford?
(a) Four items, costing £29.50, £34.99, £49.99 and £5.99, respectively
(b) An item costing £99.99 plus VAT at 17.5%
(c) An item marked £144.99 with 15 discount
(d) 52 items costing £1.99 each plus VAT at 17.5
Question 2
The following calculator key sequence:
0.5 x2 3 x1 ENTER
Will produce an error. The reason for the error is:
(a) Subtracting a larger number from a smaller number.
(b) The wrong sort of minus key was used.
(c) misplaced comma or bracket.
(d) The wrong mode setting was used.
Question 3
The following calculator key sequence:
2nd √ ( () 36 + 9 x 4 ) x1 ENTER
Will also produce an error. The reason for the error is:
(a) Attempting to work out the square root of a negative number
(b) The wrong sort of minus key was used.
(c) misplaced comma or bracket.
(d) Attempting to divide by zero.
Question 4
The value of 1 ÷ ( 42 – 24 ) is:
(a) 0 (b) 1 (c) ∞ (d) un-defined
Question 5
You read in an old book that a spherical crystal in a meteorite is approximately
one-millionth of an inch in diameter. Using the relationship 1 inch = 25.4 mm,
What is the diameter of the crystal in millimeters , correct to three significant figures?
(a) 2.54 x 10–5 (b) 25.4 x 10–5 (c) 5.42 x 10–7 (d) 524 x 108
Questions 6 and 7
Table 1 shows the distances (in kilometers) travelled by eight students to attend a tutorial.
Table 1 Distances travelled to a tutorial (km)
28 12 17 8 42 33 18 21
Question 6
The median (in km) of these distances, rounded to one decimal place is:
(a) 14.5 (b) 17.4 (c) 19.5 (d) 20.5
Question 7
The mean (in km) of these distances, rounded to one decimal place is:
(a) 22.3 (b) 22.4 (c) 25.0 (d) 28.5
Note: The data in Table 1 are used again in Questions 11-13 and 17,18.
Question 8
Which of the following statements is correct ?
(a) A price ratio of 1.005 is equivalent to a percentage price increase of 0.5%.
(b) A price ratio of 1.05 is equivalent to a percentage price increase of 10.5.
(c) A percentage price increase of 20% is equivalent to a price ratio of 0.8.
(d) A percentage price decrease of 0.5% is equivalent to a price ratio of 0.95.
Question 9
A survey of the number of days taken as sick leave in one month by the 38 employees
of a small company gave the following results.
Table 2 Days taken as sick leave
Number of days sick leave 0 1 2 3 4 5
Number of employees 18 7 4 2 3 4
Select the option which gives the mean number of days taken as sick leave, rounded to one decimal place.
(a) 0.5 (b) 1.3 (c) 1.4 (d) 1.6
Question 10
The value of the RPI in September 2003 was 182.5, and in September 2004 it was
188.1. Choose the option which gives the purchasing power of the pound in September 2004 compared with September 2003.
(a) 82 p (b) 88 p (c) 97 p (d) 103 p
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Table 1 Distances travelled to a tutorial (km)
28 12 17 8 42 33 18 21
Question 11
Select the option which give the lower and upper quartiles (in km) of the distances in Table 1.
(a) 8 and 14.5 (b) 14.5 and 16 (c) 16 and 20.5 (d) 14.5 and 30.5
Question 12
Select the option which corresponds to the range of the distances (in km) in Table 1.
(a) 8 (b) 16 (c) 24 (d) 34
Question 13
Select the option which corresponds to the inter-quartile range of the distances (in km) in Table 1.
(a) 8 (b) 16 (c) 24 (d) 34
Questions 14 and 15
In September 2004 the Retail Prices Index stood at 188.1. The Average Earnings Index for that month was 117.2. In September 2003 the value of the RPI was 182.5, and the value of the AEI was 112.8.
Question 14
Select the option which corresponds to the percentage increase in average earnings between September 2003 and September 2004 (rounded to one decimal place).
(a) 2.5 (b) 3.5 (c) 3.9 (d) 4.5
Question 15
Select the option which is closest to the percentage increase in real earnings for October 2004 compared to the real earnings one year earlier (rounded to one decimal place).
(a) 0.8 (b) 1.0 (c) 1.1 (d) 2.5
You should be able to answer Questions 16-18 after studying Unit 4, and Chapter 4
of the Calculator Book.
Question 16
Reset the calculator's random facility to its default 'factory' setting by storing zero
0 STO► MATH ◄ 1 ENTER
in rand. The key sequence is:
Enter the command randlnt (l, 500, 200). and store the result in L4.
Select the option which is a correct statement.
(a) The command randlnt (l, 500, 200) generates integers between 1 and 200.
(b) The maximum value in L4 is 500.
(c) The minimum value in L4 is 4.
(d) Each integer between 1 and 500 occurs at least once in L4.
Questions 17 and 18
These questions are again based on the data in Questions 6 and 7.
Table 1 Distances travelled to a tutorial (km)
28 12 17 8 42 33 18 21
Question 17
Select the option which corresponds to the standard of deviation (in km) of the
distances in Table 1 . (correct to three significant figures)
(a) 10.2 (b) 10.6 (c) 11.3 (d) 22.4
Question 18
Select the option which corresponds to the relative spread of the distances in Table 1.
(correct to two significant figures)
(a) 52 (b) 66 (c) 75 (d) 82
Question 19
Select the option which best describes the type of statistical investigation involved (as described in Unit 5, Section 1.3).
(a) Summarizing (b) Analyzing (c) Comparing (d) Looking for relationships
Question 20
The tutor gets the overall continuous assessment score and exam score for each of the 12 students in her tutor group from the University's records. Select the option which is a correct statement.
(a) The data used by the tutor are primary data.
(b) The exam score is an example of a continuous variable.
(c) If there is a connection between overall continuous assessment score and exam
score, the results of the survey can be used to make reliable predictions about the
exam scores of future students of the course.
(d) This investigation uses only a small dataset, so the results of the survey cannot be
used to make reliable predictions about the exam scores of future students of the
course.
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