Mathematical Literacy Grade12 Test 1: Themes: Conversions Finance Data Handling 1. Match Column A with Column B by choosing the correct number e.g. A) 3 Column A A) Categorical data B) Mode C) Median D) Mean E) Range F) Interquartile Range G) Discrete data H) Continue data I) Breakeven point J) Income > Expenditure K) Expenditure > Income
Column B 1) Profit 2) Middle value of data 3) Upper – lower quartile 4) Income = Expenditure 5) Loss 6) Qualitative data 7) Quantitative data 8) Data with highest frequency 9) Maximum value – Minimum value 10) Data like books, people, buses, book cases 11) Data with lengths, mass, ages 12) Count all data and divide with number of data in sampling
State whether the following are true or false: 2. If the government spent more income than they get in, it is referred as a budget deficit. 3. One billion is 1 000 000 000 000 written in words. 4. Another term for a profit is a surplus.
Study the following Income Statement of the National Government for 2010/2011 and 2011/2012 INCOME COLLECTED
TAX ON REVENUE AND PROFIT
2010/2011
2011/2012
R/MILLION
R/MILLION
379 941,3
% CHANGE
423 805,0
11,5%
Entities and indivuals
226 925,0
249 700,0
10,0%
Companies
150 079,9
171 500,0
14,3%
2 933,6
Sta2 605,0
-11,2%
LOCAL TAXES
249 490,3
264 649,7
6,1%
VAT
183 571,4
190 815,0
3,9%
Duties
24 563,8
27 694,6
12,7%
Other
41 355,1
46 140,1
11,6%
GENERAL
44 751,5
50 280,0
12,4%
Taxes on international trade
26 977,1
32 310,0
19,8%
Tax on retirement funds Other
Stamp duty and fees State Revenue
2,8
3,1 16,7
Payroll and workforce
8 652,3
10 100,0
16,7%
Taxes on property
9 102,3
7 870,0
-13,5%
674 183,1
738 734,7
9,6%
13 460,1
17 579,5
30,6%
-14 991,3
-21 763,2
45,2%
734 551,0
9,7%
TOTAL INCOME TAX Non tax revenue Subtract : SACU payments Other adjustments Total income
-2 914,4 669 737,5
Answer questions 5 – 6 by looking at the above Income statement. Choose the correct answer. 5. What category generates the highest income? A. Tax on revenue and profit B. Local Tax C. General income D. Tax on retirement funds 6. What is the percentage difference in Tax on duties from 2010/2011 till 2011/2012
A. B. C. D.
3,9% 12,7% 19,8% 14,3%
Convert the following to the correct units by choosing the correct answer. (Question 7 and 8) 7. 1 000 m is equal to -----km A. 100km B. 10km C. 1km D. 1 000km 8. 5 200ml is equal to ---A. 5,2 B. 520 C. 5 200 D. 0,52 Scenario 1: Peter wants to send a pasta sauce recipe to his friend in America. In America they use imperial units and not metric units. Peter has to convert his recipe to imperial units. The following table may help him. Imperial unit 1 ounce (oz) 1 pound (lb) 1 ton 1 ounce (oz) 1 pint (pt)
Metric unit 28g 453g 907kg 29,6ml 473ml
Recipe: 0,2 onions ¾ kg tomatoes 75ml spices 60ml wine 30ml olive oil 200g tomato paste 10g sugar Answer questions 9 – 11 by choosing the correct answer: 9. ¾ kg tomatoes is equal to -----pounds (lb) Correct to two decimals: A. 1,65 B. 1,66 C. 1,67 D. 1,68
10. 60ml wine is ----------ounces (oz) Correct to two decimals. A. 2,03 B. 2,02 C. 2,04 D. 2,05 11. 30 ml olive oil is -----pints Correct to two decimals. A. 0,08 B. 0,05 C. 0,07 D. 0,06 Scenario 2: The following part of a tide table is given: Date SunSunset High water rise Wed 05:11 19:32 00:09 12:32 4 Jan Thu 05:12 19:32 01:20 13:26 5 Jan Fri 05:13 19:33 02:05 14:08 6 Jan Sat 05:13 19:33 02:40 14:46 7 Jan Sun 05:14 19:33 03:13 15:21 8 Jan
Low water 06:13
19:03
Moon rise 15:24
07:15
19:50
16:19
01:48
07:59
20:28
17:13
02:33
08:36
21:01
18:04
03:23
09:11
21:34
18:51
04:17
Answer questions 12 – 13 by using the tide table: 12. On what day is the high water at 00:09 and 12:32 A. Wednesday, 4 January B. Thursday, 5 January C. Friday, 6 January D. Saturday, 7 January 13. What is the time of low water on Saturday 7 January? A. 20:28 B. 21:01 C. 22:07 D. 22:40 Scenario 3: The following two taxi services are compared with each other: *Red Rover Taxi’s asks R10,00 fixed cost plus R9,00 per km *Blitz Cab Taxi’s asks 18,00 fixed cost plus R5,00 per km
Moonset 01:09
Answer questions 14 -16 by choosing the correct answer: 14. How much will it cost to travel 5km with Red Rover Taxi’s? A. R45,00 B. R46,00 C. R50,00 D. R55,00 15. How much will it cost to travel 5km with Blitz Cab Taxi’s? A. R42,00 B. R43,00 C. R44,00 D. R45,00
16. What Taxi Service are the cheapest to travel 5km? A. Red Rover B. Blitz Cab Scenario 4: The following data of a Grade 12 Mathematics test is used. 10 14 27
11 25 30
11 25 31
12 26 34
12 26 35
13 27 35
Answer questions 17 – 20 by choosing the correct answer: 17. The mode of the data is: A. 13 B. 27 C. 25 D. 35 18. The median is: A. 24 B. 25 C. 26 D. 27 19. The range is: A. 28 B. 30 C. 38 D. 48 20. The mean is: A. 23,93 B. 23,90
13 27 42
13 27 48
C. 23,91 D. 23,92 Scenario 5: The following box and whisker diagram is given:
15
56 25
42
Answer questions 21 -25 by using the diagram: 21. The range of the data is: A. 40 B. 41 C. 42 D. 43 22. The upper quartile (Q 3) is: A. 42 B. 43 C. 44 D. 45 23. The lower quartile (Q 1) is: A. 15 B. 25 C. 42 D. 45 24. The interquartile range (IQR) is: A. 20 B. 21 C. 22 D. 23 25. The data is: A. Skewed to the left B. Skewed to the right
45