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Grade 7 Math Diagnostic Test

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 
 
Find the value of the power.
 

 1. 

mc001-1.jpg
a.
20
c.
1,024
b.
625
d.
4,444
 
 
Evaluate the expression.
 

 2. 

mc002-1.jpg
a.
mc002-2.jpg
c.
mc002-4.jpg
b.
mc002-3.jpg
d.
mc002-5.jpg
 

 3. 

mc003-1.jpg
a.
4
c.
52
b.
84
d.
372
 
 
Find the GCF of the numbers using lists of factors.
 

 4. 

8, 14
a.
56
c.
5
b.
8
d.
2
 

 5. 

What is the area of the rectangle below?
mc005-1.jpg
a.
136 ft2
c.
402 ft2
b.
208 ft2
d.
442 ft2
 

 6. 

A northbound bus and a southbound bus are at a bus stop at the same time. The northbound bus returns to the bus stop every 20 minutes and the southbound bus returns to the bus stop every 25 minutes. How long will it be before both buses are the bus stop at the same time again?
a.
50 minutes
c.
200 minutes
b.
100 minutes
d.
500 minutes
 

 7. 

Which operation should you perform first when you evaluate the following expression?
     15 – 8 ¸ (4 – 2) ´ 3
a.
Subtract 8 from 15.
c.
Subtract 2 from 4.
b.
Divide 8 by 4.
d.
Multiply 2 by 3.
 

 8. 

What is the greatest number that divides evenly into both 42 and 81?
a.
1
c.
6
b.
3
d.
9
 

 9. 

Which of the following numbers is a perfect square?
a.
35
c.
125
b.
68
d.
144
 
 
Write the product as a power.
 

 10. 

mc010-1.jpg
a.
2 ´ 5
c.
mc010-3.jpg
b.
mc010-2.jpg
d.
32
 
 
Write the prime factorization of the number.
 

 11. 

98
a.
mc011-1.jpg
c.
mc011-3.jpg
b.
mc011-2.jpg
d.
mc011-4.jpg
 
 
Find the LCM of the numbers using lists of multiples.
 

 12. 

4, 7
a.
28
c.
7
b.
56
d.
11
 

 13. 

In a pet store, mc013-1.jpg of the animals are dogs. Of these, mc013-2.jpg are Labrador Retrievers. What fraction of all animals in the pet store are Labrador Retrievers?
a.
mc013-3.jpg
c.
mc013-5.jpg
b.
mc013-4.jpg
d.
mc013-6.jpg
 
 
Multiply.  Write your answer in simplest form.
 

 14. 

mc014-1.jpg ´ mc014-2.jpg
a.
mc014-3.jpg
c.
mc014-5.jpg
b.
mc014-4.jpg
d.
mc014-6.jpg
 

 15. 

mc015-1.jpg ´ mc015-2.jpg ´ mc015-3.jpg
a.
mc015-4.jpg
c.
mc015-6.jpg
b.
mc015-5.jpg
d.
mc015-7.jpg
 

 16. 

mc016-1.jpg ´ 4
a.
mc016-2.jpg
c.
mc016-4.jpg
b.
mc016-3.jpg
d.
mc016-5.jpg
 
 
Evaluate the expression. Write the answer in simplest form.
 

 17. 

mc017-1.jpg ¸ mc017-2.jpg ¸ mc017-3.jpg
a.
mc017-4.jpg
c.
mc017-6.jpg
b.
mc017-5.jpg
d.
mc017-7.jpg
 

 18. 

6 ¸ mc018-1.jpg - mc018-2.jpg
a.
mc018-3.jpg
c.
mc018-5.jpg
b.
mc018-4.jpg
d.
mc018-6.jpg
 
 
Write the reciprocal of the number.
 

 19. 

mc019-1.jpg
a.
mc019-2.jpg
c.
mc019-4.jpg
b.
mc019-3.jpg
d.
mc019-5.jpg
 
 
Divide. Write your answer in simplest form.
 

 20. 

mc020-1.jpg ¸ 5
a.
mc020-2.jpg
c.
mc020-4.jpg
b.
mc020-3.jpg
d.
mc020-5.jpg
 

 21. 

How many mc021-1.jpg-ounce cheese singles are there in a 24-ounce package?
a.
35
c.
38
b.
36
d.
16
 
 
Evaluate the expression when x = 3.7 and y = 2.96.
 

 22. 

mc022-1.jpg
a.
10.784
c.
12.83
b.
10.684
d.
12.93
 
 
Divide. Check your answer.
 

 23. 

mc023-1.jpg
a.
1.9
c.
20
b.
2
d.
2.1
 
 
Divide. Use estimation to check your answer.
 

 24. 

mc024-1.jpg
a.
66
c.
66.1
b.
6.6
d.
6.5
 
 
Factor the expression using the GCF.
 

 25. 

mc025-1.jpg
a.
mc025-2.jpg
c.
mc025-4.jpg
b.
mc025-3.jpg
d.
mc025-5.jpg
 
 
Evaluate the expression when a = 14, b = 10, and c = 8.
 

 26. 

mc026-1.jpg
a.
64
c.
19
b.
67
d.
11
 

 27. 

2b –  4.6
a.
16.4
c.
15.4
b.
12.4
d.
20
 
 
Evaluate the expression when x = 3, y = nar016-1.jpg, and z = 12.
 

 28. 

xyz
a.
mc028-1.jpg
c.
mc028-2.jpg
b.
288
d.
mc028-3.jpg
 
 
Write the phrase as an expression.
 

 29. 

5 fewer than a number p
a.
mc029-1.jpg
c.
mc029-3.jpg
b.
mc029-2.jpg
d.
mc029-4.jpg
 
 
Use the Distributive Property to simplify the expression.
 

 30. 

mc030-1.jpg
a.
mc030-2.jpg
c.
mc030-4.jpg
b.
mc030-3.jpg
d.
mc030-5.jpg
 
 
Find the area.
 

 31. 

mc031-1.jpg
a.
80 mi2
c.
26 mi2
b.
160 mi2
d.
52 mi2
 

 32. 

mc032-1.jpg
a.
14 cm2
c.
20 cm2
b.
28 cm2
d.
40 cm2
 

 33. 

mc033-1.jpg
a.
74 ft2
c.
9 ft2
b.
23 ft2
d.
51 ft2
 

 34. 

mc034-1.jpg
a.
15 units2
c.
13 units2
b.
16 units2
d.
7 units2
 
 
Write the ratio in simplest form.
 

 35. 

mc035-1.jpg
a.
mc035-2.jpg
c.
mc035-4.jpg
b.
mc035-3.jpg
d.
mc035-5.jpg
 

 36. 

Two whole numbers A and B satisfy the following conditions.
mc036-1.jpg
A : B is equivalent to 13 : 5.
Find A and B.
a.
mc036-2.jpg
c.
mc036-4.jpg
b.
mc036-3.jpg
d.
mc036-5.jpg
 
 
Write a unit rate for the situation.
 

 37. 

$66 spent in 3 trips
a.
mc037-1.jpg
c.
mc037-3.jpg
b.
mc037-2.jpg
d.
mc037-4.jpg
 
 
Write the percent as a decimal.
 

 38. 

7%
a.
0.7
c.
0.007
b.
0.07
d.
7
 
 
Write the decimal as a percent.
 

 39. 

3.29
a.
3.29%
c.
0.0329%
b.
329%
d.
32.9%
 
 
Write the percent as a fraction or mixed number in simplest form.
 

 40. 

220%
a.
mc040-1.jpg
c.
mc040-3.jpg
b.
mc040-2.jpg
d.
mc040-4.jpg
 
 
Write the fraction as a percent.
 

 41. 

mc041-1.jpg
a.
82%
c.
90%
b.
87%
d.
86%
 
 
Find the percent of the number.
 

 42. 

40% of 95
a.
37
c.
57
b.
3800
d.
38
 
 
Order the numbers from least to greatest.
 

 43. 

mc043-1.jpg, 77.777%, 0.778, 0.77
a.
0.77, mc043-2.jpg, 77.777%, 0.778
c.
0.77, 77.777%, mc043-4.jpg, 0.778
b.
0.77, 77.777%, 0.778, mc043-3.jpg,
d.
mc043-5.jpg, 0.77, 77.777%, 0.778,
 
 
Find the absolute value.
 

 44. 

| 128 |
a.
–| 128 |
c.
–| –128 |
b.
–128
d.
128
 

 45. 

| –2 |
a.
2
c.
–2
b.
–| –2 |
d.
–| 2 |
 
 
Write the ordered pair that corresponds to the point.
nar029-1.jpg
 

 46. 

Point F
a.
(4, –2)
c.
(–4, 2)
b.
(–2, 4)
d.
(2, –4)
 

 47. 

Point A
a.
(–3, –4)
c.
(3, 4)
b.
(4, 3)
d.
(–4, –3)
 
 
Write an ordered pair corresponding to the point.
nar030-1.jpg
 

 48. 

Point C
a.
(3, –0)
c.
(–3, 0)
b.
(0, –3)
d.
(–0, 3)
 

 49. 

Point D
a.
(0, –2)
c.
(–0, 2)
b.
(–2, 0)
d.
(2, –0)
 
 
Solve the equation. Check your solution.
 

 50. 

mc050-1.jpg
a.
11.3
c.
10.9
b.
3.5
d.
4.5
 

 51. 

mc051-1.jpg
a.
2.7
c.
10.1
b.
12.1
d.
11.1
 

 52. 

54 = mc052-1.jpg
a.
486
c.
6
b.
540
d.
45
 

 53. 

mc053-1.jpg= 15
a.
135
c.
mc053-2.jpg
b.
150
d.
5
 
 
Solve for x. Check your answer.
 

 54. 

Rectangle
Area = 90 square units
mc054-1.jpg
a.
27 units
c.
18 units
b.
15 units
d.
5 units
 
 
Graph the inequality on a number line.
 

 55. 

mc055-1.jpg
a.
mc055-2.jpg
c.
mc055-4.jpg
b.
mc055-3.jpg
d.
mc055-5.jpg
 

 56. 

mc056-1.jpg
a.
mc056-2.jpg
c.
mc056-4.jpg
b.
mc056-3.jpg
d.
mc056-5.jpg
 
 
Write the word sentence as an inequality.
 

 57. 

A number b is at least –16.
a.
mc057-1.jpg
c.
mc057-3.jpg
b.
mc057-2.jpg
d.
mc057-4.jpg
 
 
Solve the inequality. Graph the solution.
 

 58. 

mc058-1.jpg
a.
mc058-2.jpg;
mc058-3.jpg
c.
mc058-6.jpg;
mc058-7.jpg
b.
mc058-4.jpg;
mc058-5.jpg
d.
mc058-8.jpg;
mc058-9.jpg
 
 
Find the median of the data.
 

 59. 

4, 3, –3, 5, –10
a.
–3
c.
3
b.
5
d.
–10
 

 60. 

The box-and-whisker plot represents the closing times of businesses in a town. What percent of the businesses close at 10 P.M. or later?
mc060-1.jpg
a.
20%
c.
50%
b.
25%
d.
75%
 



 
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