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1ALPHA PLACEMENT PRE/POST TEST
Alpha Placement Pre/Post Test
Solve.
1. 1 0
3
−
2. 7
3+
3. 8
4−
4. 4
7+
5. 9
6−
6. 9
9+
7. 1 2
7
−
8. 8
7+
7 10
4 11
3 18
4 11
5 15
Answer Key
ALPHA PLACEMENT PRE/POST TEST2
9. 1 5
9
−
10. 1 2
4
−
11. 5
3+
12. 1 3
6
−
13. 1 0
5
−
14. 7
6+
15. 3
6+
16. 1 1
8
−
6 8
8 7
5 13
9 3
ALPHA PLACEMENT PRE/POST TEST 3
17. 8
5+
18. 4
9+
19. 1 7
9
−
20. 1 4
5
−
21. 3
8+
22. 1 3
9
−
23. 5
7+
24. 1 6
7
−
13 13
8 9
11 4
12 9
4 ALPHA PLACEMENT PRE/POST TEST
25. 9
3+
26. 1 1
6
−
27. 1 5
8
−
28. 7
4+
29. 5
6+
30. 8
7+
12 5
7 11
11 15
1BETA PLACEMENT PRE/POST TEST
Compare, and then fill in the oval with <, >, or =.
1. 7 + 7 15 – 8 2. 105 125
Round to the nearest tens place.
3. 43 → ______
4. 68 → ______
Round to the nearest hundreds place.
5. 204 → ______
6. 561 → ______
Round to the nearest thousands place.
7. 1,935 → ______
8. 4,187 → ______
Skip count and write the numbers.
9. _____, _____, 6, _____, _____, _____, _____, _____, _____, 20
10. _____, _____, _____, _____, 25, _____, _____, _____, _____, _____
11. _____, 20, _____, _____, _____, _____, _____, 80, _____, _____
Beta Placement Pre/Post Test
> <
40
70
200
2,000
Answer Key
600
30 35 40 4515 205 10
30 40 50 60 90 1007010
50
10 12 14 1682 4 18
4,000
2 BETA PLACEMENT PRE/POST TEST
Add.
12 13.
14. 15.
16. 17.
Subtract.
18. 19.
20. 4 0 32 1 5−
21. 7 1 03 4 6−
2 44 6+
1 9 23 5 9+
9 0 71 6 8+ +
$8.9 2 2.4 9
6 4 7 47 6 1 03 6 8 5+
9 6 81 4 52 0 3
7 5+
2 31 7−
1 1 59 8−
7 0
1,0 7 5
1 7 7 6 91 3 9 1
$1 1.4 1
5 5 1
1 7
3 6 4
6
1 8 8
3BETA PLACEMENT PRE/POST TEST
22. 5 8 3 41 0 5 7−
23. 8 1 3 2 74 5 1 8 9−
Write the number and say it.
24. two hundred seventy-six thousand, five hundred ninety-one =
_________________________
Give the time with hours and minutes.
25. 1
2
3
4
56
7
8
9
10
1112
4 7 7 7 3 6 1 3 8
7:23
276,591
4 BETA PLACEMENT PRE/POST TEST
Read the gauge.
26.
27. Greg is four feet tall. How many inches tall is Greg?
_________________________
28. Wendy is making a square pillow that measures 14 inches on a side. How many inches of fringe will she need to go around the edges of the pillow?
_________________________
29 A rectangle has two sides that are six feet long and two sides that are eleven feet long. What is its perimeter?
_________________________
30. A triangle has sides of nine inches, eight inches, and six inches. What is the perimeter?
_________________________
0º
200º
____º
400º
600º
48 inches
56 inches
34 feet
23 inches
100
1GAMMA PLACEMENT PRE/POST TEST
Multiply.
1. 8 52 6×
2. 4 2 17 3×
3. 5 0 96 3 6×
4. 7, 5 4 6
8×
5. 3, 4 8 2
5 9× 6. 6, 1 8 7
4 6 7×
Find the area and perimeter.
7. area = ______
8. perimeter = ______
72 ft
72 ft
31 ft31 ft
Gamma Placement Pre/Post Test
5 1 0+ 1 7 0
2,2 1 0
Answer Key
1 2 6 3+ 2 9 4 7
3 0 7 3 3
6 0,3 6 83 0 5 41 5 2 7
+ 3 0 5 4 3 2 3, 7 2 4
3 1 3 3 8+ 1 7 4 1 0
2 0 5, 4 3 8
4 3 3 1 93 7 1 2 2
+ 2 4 7 4 8 2,8 8 9, 3 2 9
2,232 square feet
206 feet
2 GAMMA PLACEMENT PRE/POST TEST
Solve for the unknown.
9. 8B = 64 10. 9Q = 63
11. 10X = 100
Find all the possible pairs of factors, and tell whether the number is prime or composite.
12. 16 _____ × _____
_____ × _____
_____ × _____
_____________
13. 7 _____ × _____
_____________
14. 9 _____ × _____
_____ × _____
_____________
Write <, >, or = in the oval.
15. 6 × 2 3 × 4 16. 9 × 8 5 × 12
17. 7 × 6 9 × 5
B = 8
X = 10
Q = 7
prime
1 7
composite
4 4
composite
3 3
1 9
2 8
1 16
<
= >
3GAMMA PLACEMENT PRE/POST TEST
Add.
18. 9 22 14 81 7+
19. 1 6 35 4+
20. 8 1 54 8 2+
21. 3 6 03 7−
22. 5 2 91 6 8−
23. 4 0 22 9 3−
Fill in the blanks.
24. 6 qt = ______ pt 25. 8 dimes = ______ cents
26. 9 yd = ______ ft 27. 5 Tbsp = ______ tsp
28. 10 nickels = ______ cents 29. 7 gal = ______ qt
1 7 8
2 1 7
1,2 9 7
2850
12 80
27 15
1 0 93 6 1
3 2 3
4 GAMMA PLACEMENT PRE/POST TEST
30. $2 = ______ quarters 31. 4 gal = ______ pt
32. 3 lb = ______ oz 33. 6 quarters = ______ cents
34. 2 miles = ______ feet 35. 1 ton = ______ lb
36. A room measures 21 feet by 38 feet. Round the dimensions to the nearest ten and estimate the area of the room.
________
37. Chuck drove 452 miles a day for three days. Round to the nearest hundred and estimate how far he drove in all.
________
38. What is 3,495 rounded to the nearest thousand? _________
39. Write in standard decimal notation: one million, two hundred seventy-one thousand, twenty-eight.
________________________________
40. Write in place-value notation: 5,681,900
___________________________________________________________
___________________________________________________________
5,000,000 + 600,000 + 80,000 + 1,000 + 900
1,271,028
3,000
1,500 mi
800 sq ft
2,00010,560
15048
328
Divide. Write your remainders if the number does not divide evenly.
1. 4 80 2. 7 53
3. 8 648 4. 5 396
Divide. Include a fraction in your answer if the number does not divide evenly. Check your answers.
5. 25 631 6. check for #5
7. 16 349 8. check for #7
9. 6 3 0 4 5 8 10. check for #9
Delta Placement Pre/Post Test
1DELTA PLACEMENT PRE/POST TEST
Answer Key
11. 84 5 7 6 4 7 12. check for #11
Find the area of each figure.
5 ft
3 ft
7 ft
4 ft
9 ft
13. A = ______ 14. A = ______
10 in
25 in
15 ft
33 ft
15. A = ______ 16. A = ______
Find the volume of the rectangular solid.
12 ft
29 ft45 ft
17. V = ______
2 DELTA PLACEMENT PRE/POST TEST
18 sq ft
495 sq ft
25 sq ft
250 sq in
15,660 cu ft
6 8 6× 8 4
2 7 4 45 4 8 8 57, 6 2 4
+ 2 357, 6 4 7
Fill in the blanks.
18. 27 ft = ____________ yd 19. 40 pt = ____________ qt
20. 20 qt = ____________ gal 21. 5 dollars = ______ quarters
22. 4 lb = ____________ oz 23. 1 mi = ____________ ft
24. 5 tons = ____________ lb 25. 36 in = ____________ ft
26. 40 ft = ____________ in
27. 49 to the nearest ten is ______ .
28. 4,009 to the nearest thousand is ______ .
29. 459 to the nearest hundred is ______ .
3DELTA PLACEMENT PRE/POST TEST
9
5
64
480
3
5,280
20
50
4,000
500
20
10,000
Solve.
30. 13
of 12 = 31. 37
of 21 =
32. 58
of 32 =
Find the denominators and numerators of fractions represented by the rectangles.
33. numeratordeno atormin
=
34. numeratordeno atormin
=
35. Write in standard notation:
2 × 1,000,000,000 + 5 × 100,000,000 + 4 × 10,000,000 + 3 × 1,000,000 + 9 × 100,000
__________________________________________________________________
36. Find the average of the numbers: 5, 12, 13, 21, 24 ______
37. What number is represented by the Roman numeral MMCLVIII? ______
38. Write the given date with Roman numerals: 1975 ______
4 DELTA PLACEMENT PRE/POST TEST
4
20
9
2
3
3
5
15
2,158
MCMLXXV
2,543,900,000
1EPSILON PLACEMENT PRE/POST TEST
Solve.
1. 12
of 24 = _____ 2. 23
of 18 = _____
3. 78
of 64 = _____
Fill in the missing numbers in the numerators or denominators to make equivalent fractions.
4. 34
= _____ = _____ = 16
5. 910
= _____ = _____ = 36
Compare the fractions and write the correct symbol in the oval.
6. 57
35
7. 48
36
8. 48
23
Epsilon Placement Pre/Post Test
Answer Key
12
68
912
1820
2730 40
<
> =
12
56
12
2 EPSILON PLACEMENT PRE/POST TEST
Solve.
9. 39
+ 59
= 10. 12
+ 14
+ 78
=
11. 45
– 13
= 12. 13
÷ 15
=
13. 3 13
÷ 518
= 14. 3 45
÷ 2 725
=
Solve.
15. 7 14
5 34
−
16. 923
6 59
+
17. 5 15
2 56
−
3EPSILON PLACEMENT PRE/POST TEST
Write the length of the line.
18. in
0" 1" 2" 3" 4" 5"
Solve for the unknown and check your work.
19. 7X + 9 = 44 20. Check for #19
21. 38
A – 8 = 13 22. Check for #21
23. 56
G + 16
= 512
24. Check for #23
Solve.
25. 58
× 13
× 35
= ________ 26. 45
× 2 34
× 3 13
= ________
4 EPSILON PLACEMENT PRE/POST TEST
Write each fraction in hundredths. Then write it as a decimal and as a percent.
27. 45
= 100
= ______ = ______% 28. 14
= 100
= ______ = ______%
29. What is the GCF of 15 and 45?
30. What are the prime factors of 56?
31. Change 72⁄3 to an improper fraction.
32. Is 498 divisible by 9?
33. What is the approximate area of a circle with a radius of 21 feet?
34. What is the approximate circumference of a circle with a radius of 21 feet?
80 800.80 25 250.25
no
2 × 2 × 2 × 7
1ZETA PLACEMENT PRE/POST TEST
Rewrite each number without an exponent.
1. 16 = ________ 2. 82 = ________
3. 103 = ________
Write in decimal notation.
4. 5 × 103 + 2 × 102 + 7 × 101 + 1 × 100 + 3 × 1
101 + 4 × 1
102 + 9 × 1
103 =
________________
Add or subtract the decimal numbers.
5. 7.5 21.8 5−
6. 6.0 5.2 8+
7. 3 2.0 4 1 .5 9 6−
Multiply the decimal numbers.
8. 2.4 9 0.6×
9. 1.7 3 ×
10. 0.0 0 4 0.0 5×
Convert using whatever method you prefer.
11. 13 km = ___________ cm 12. ___________ g = 250 mg
Zeta Placement Pre/Post Test
Answer Key
1 64
1,000
5,271.349
0.251,300,000
0.0 0 0 2 0
1 1.2 8
5.1
3 1.4 4 5
5.6 7
1.4 9 4
2 ZETA PLACEMENT PRE/POST TEST
Write each percentage as a decimal.
13. 5% = ___________ 14. 65% = ___________
Write each percentage as a reduced fraction.
15. 25% = ______ = ______ 16. 32% = ______ = ______
Change each fraction to a decimal and then to a percentage. Include a fraction in one hundredths place if needed and do not round.
17. 810
= ______ = ______% 18. 56
= ______ = ______%
Write the mixed number as a percentage and as a decimal.
19. 4 35
= 100
+ 100
= 100
= ______ = ______
Change each decimal to a reduced fraction.
20. 0.78 = ______ = ______ 21. 0.03 = ______ = ______
Divide to the thousandths place and round to the nearest hundredth.
22. 4 1 3.3 23. 7 4.5 8
Divide until you see a pattern and write the answer with a line over the repeat.
24. 0.6 3 9.4 25. 0.0 3 0.0 2 2
3100
78100
3950
460 4.6060 460%400
0.8 80
25100
14
32100
825
0.650.05
0.8313
13
83
0
0
3ZETA PLACEMENT PRE/POST TEST
Divide to the hundredths place. Include a fraction in your answer if there is still a remainder.
26. 11 9. 27. 9 5
Solve for the unknown. Check your answer by using it in the original problem.
28. 3.2X + 0.07 = 4.55 29. Check for #28
Fill in the blanks.
30. A ______________ has infinite length and width and is said to be two-dimensional.
31. A _______________ has two endpoints.
32. A _______________ has no length or width.
33. A line has _______________ but no _______________ .
34. A _______________ has one endpoint.
35. An angle with a measure less than 180º but greater than 90º is a(n) _______________ angle.
36. An angle with a measure less than 90º but greater than 0º is a(n) _______________ angle.
37. Two figures that are the same shape but different sizes are said to be ________.
38. There are _______________ degrees in a circle.
39. The measure of a right angle is _______________.
40. An angle with a measure of 180º is a(n) _______________ angle.
41. Two shapes that are exactly the same are said to be ______________.congruent
straight
90º
360
similar
acute
obtuse
ray
length width
point
line segment
plane
00
4 ZETA PLACEMENT PRE/POST TEST
42. Find the approximate area and circumference of a circle that has a radius of three feet.
43. Judith received the following amounts of money for doing chores:$5, $7, $3.50, $5, and $8. Give the mean, median, and mode for her earnings.
44. Melanie ordered books from a catalog. The prices of the books added up to $45.60. She had to pay a 6% tax and 8% for shipping. What was the total cost of her order?
45. Brandon entered a contest for free math materials. 758 people each put in one entry, and there will be only one winner. What is the probability of Brandon winning the contest?
$3.50 + $5 + $5 + $7 + $8 = $28.50mean = $28.50 ÷ 5 = $5.70, median = $5, mode = $5
$45.60 × 1.14 ≈ $51.98
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