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BASIC MATH APPEAL PRACTICE TEST 9/04
DO NOT WRITE ON THIS TEST.
RETURN IT TO THE MATH CENTER.
Study this practice test thoroughly before taking your appeal test. You must receive at least 70% to pass the test, which is similar to this practice test. You may use a calculator for this test.
Give all answers in simplest form.
1. Write as a fraction in simplest form:
2. 6 – 4= ____
3. How much will a person 4feet tall have to grow to be 6 feet tall?
4. If a wall is 21 ft. long, how many foot boards will be needed to panel the wall?
5. Round off to the nearest thousandth: 2439.8567
6. 3 = ____
7. 4x 3= ____
8. Fill in the blank with =, <, or > 5.37 ____ 5.369
9. You buy lunch for $8.23. How much change should you receive from a $10 bill?
10. Sausage cost $2.25 a pound. How many pounds can you buy for $27?
11. A jar contains white marbles and green marbles. The total number of marbles in the jar is 57. If the jar has 31 white marbles, what is the ratio of green to white marbles?
12. Solve for N: =
13. Tomato juice costs $0.55 for 2 cans. How many cans can you purchase for $7.15?
14. Write 12.8% as a decimal.
15. of the employees of a computer company are women. What percent is this? Do not round off.
16. What percent of 54 is 72: (Round off to the nearest whole percent)
17. 12.5% of 80 is what number?
18. 32 is 8% of what number?
Basic Math Appeal Practice Test
19. An automobile company is recalling 8% of a total of 350 cars sold in Baltimore. How many cars are being recalled?
20. A man travels 400 miles of a 3200 mile trip. What percent of the trip has he traveled?
21. If you buy a television set for $100 down and $35 a month, how much have you paid after 8 months?
22. A test to determine the braking distance of a car yielded the following results: 220 feet, 208 feet, 216 feet, 219 feet, 227 feet. Find the mean braking distance.
23. The ages of the seven most recently hired employees at a company are: 26, 45, 22, 25, 24, 30, and 34. Find the median age.
24. The daily number of tickets a police officer gave out during a certain week are: 17, 5, 9, 10, 23, 5, and 3. Find the mode.
25. Convert: 35 mg = ______g
26. Convert: 105 cm = ______m
27. Convert: 52 g = ______kg
28. Convert: 30 in = _____ ft
29. Convert: 32 qts = _____ gal
30. Convert: 5 yds = _____ ft
31. Evaluate: 3 + 5 . 4 =
32. Evaluate: 7(10 – 2x) when x = 4
33. Simplify: 6 – 3(x + 7)
34. 3 – (–8) – 6 =
35. 4(–3)(5) =
36. (–2)4 =
37. Simplify: x3 . x =
38. Simplify: (3 + 6x) – (4 – x)
39. Simplify: (3 – 2x) – 4(2x – 5)
40. Solve for x: x – 9 = 7
41. Solve for x: 7x + 3 = –11
42. Solve for x: 7(x – 2) = x + 10
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SOLUTIONS TO BASIC MATH APPEAL PRACTICE TEST
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1. = =
2. 6 borrow 1 from 6 and change 5
– 4 ______it to : – 4 ______
1
3. 6 5
– 4 ______– 4 ______
1
4. 21 = x = = 25(boards, exactly) or 26 whole boards.
5. 2439.857
6. 3 = = x =
7. 4 x 3 = x = = 15
8. Line up vertically: 5.370 greater Therefore 5.37 > 5.369
5.369
9. $10.00
– 8.23
1.77
10. 27 2.25 = 12
11.
12. = ; 7 . N = 9 . 5; N = = 6
Basic Math Appeal Practice Test
13. = .55N = 2(7.15)
N = = 26
14. .128
15. Divide 7 by 8 and then move the decimal two places to the right in order to change the decimal to a percent: 87.5%
16. What % of 54 is 72?
N . 54 = 72
N =
72 54 = 1.333 = 133.3% The nearest whole percent is 133%.
17. 12.5% of 80 is what number?
.125 . 80 = N
10 = N
18. 32 is 8% of what number?
32 = .08 . N
= N
400 = N
19. rate . base = part
.08 . 350 = N
28 = N
20. part = rate . base
400 = N . 3200
N = 400 3200 = .125 = 12.5%
Basic Math Appeal Practice Test
21. $35 a month for 8 months is 35 . 8 = $280
total payment is 280 + 100 = $380
22. mean = = = 218
23. median = the middle data point in an ordered list
place in order: 22, 24, 25, 26, 30, 34, 45
median = 26 the middle data point
24. mode = the data point that occurs most frequently.
mode = 5 since it occurs twice and the others occur once.
Prefix / KI
L
O / H
E
C
T
O / D
E
K
A / BASIC
UNIT / D
E
C
I / C
E
N
T
I / M
I
L
L
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Meaning / Thousand / Hundred / Ten / (m,L,g) / Tenth / Hundredth / Thousandth
1000 / 100 / 10 / 1 / 0.1 / 0.01 / 0.001
25. g deci centi milli
3 left
.0 3 5. mg = 0.035 g
3 left
Basic Math Appeal Practice Test
26. m deci centi milli
1.05. cm = 1.05 m
27. kilo hecto deka g
3 2 1
3 left
.0 5 2.g = .052 kg
3 left
28. 30 in () = ft = 2.5 ft
29. 32 qts () = = 8 gal
30. 5 yds () = 15 ft.
31. Remember: Multiplication is performed before addition
3 + 5 . 4 = 3 + 20 = 23
32. 7(10 – 2 . 4) = 7(10 – 8) = 7(2) = 14
33. 6 – 3(x + 7) = 6 – 3x – 3 . 7 = 6 – 3x – 21 = –3x – 15
34. 3 – (–8) – 6 = 3 + 8 – 6 = 11 – 6 = 5
35. 4(–3)(5) = –12(5) = –60
Basic Math Appeal Practice Test
36. (–2)4 = –2 . –2 . –2 . –2 = 16
37. x3 . x = (x3 . x1) = x4
38. (3 + 6x) – (4 – x) = 1(3 + 6x) – 1(4 – x)
= 1 . 3 + 1 . 6x – 1 . 4 – 1(–x)
= 3 + 6x – 4 + x
= 7x – 1 or -1 + 7x
39. (3 – 2x) – 4(2x – 5) = 3 – 2x – 4(2x) – 4(–5)
= 3 – 2x – 8x + 20
= 23 – 10x or –10x + 23
40. x – 9 = 7
x – 9 + 9 = 7 + 9
x = 16
41. 7x + 3 = –11
7x + 3 – 3 = -11 – 3
7x = –14
=
x = –2
42. 7(x – 2) = x + 10
7x – 14 = x + 10
7x – x – 14 = x – x + 10
6x – 14 = 10
6x – 14 + 14 = 10 + 14
6x = 24
=
x = 4