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Math Facts 1 – Squares, Roots, and Powers of Primes

posted on April 26, 2016

This is an interactive set of flashcards testing your knowledge of perfect squares, square roots of perfect squares, powers of primes, and a few other important facts that successful GMAT students have at their fingertips. You will have 4 minutes to complete the set.

Math Factor 1 - Squares, Square Roots, and Powers of Primes

Squares, Roots, and Powers of Primes is basically a math facts quiz. These basic facts should become your "friends," so that you can recognize them in context and use them to your advantage when performing seeminly difficult calculations.
Start
Congratulations - you have completed Math Factor 1 - Squares, Square Roots, and Powers of Primes. You scored %%SCORE%% out of %%TOTAL%%. Your performance has been rated as %%RATING%%
Your answers are highlighted below.
Question 1
\(5^4\)
A
250
B
500
C
125
D
625
E
1025
Question 1 Explanation: 
\(5^4= 625\). The correct answer is B.
Question 2
\(7^2\)
A
35
B
49
C
14
D
7
E
21
Question 2 Explanation: 
\(7^2 = 49\). The correct answer is E.
Question 3
\(2^7\)
A
256
B
128
C
32
D
14
E
64
Question 3 Explanation: 
\(2^7 = 128\). The correct answer is B.
Question 4
\(\sqrt{484}\)
A
12
B
22
C
18
Question 4 Explanation: 
\(\sqrt{484} = 22\). The correct answer is A.
Question 5
\(\sqrt{225}\)
A
25
B
15
Question 6
\(\sqrt{256}\)
A
14
B
16
C
24
Question 6 Explanation: 
\(\sqrt{256} = 16\). The correct answer is B.
Question 7
\(\sqrt{576}\)
A
24
B
14
C
26
D
16
Question 7 Explanation: 
\(\sqrt{576} = 24\). The correct answer is C.
Question 8
\(15^2\)
A
250
B
125
C
205
D
30
E
225
Question 8 Explanation: 
\(15^2 = 225\). The correct answer is D.
Question 9
\(12^2\)
A
132
B
100
C
184
D
169
E
144
Question 9 Explanation: 
\(12^2 = 144\). The correct answer is C.
Question 10
\(2^9\)
A
512
B
256
C
32
D
64
E
128
Question 10 Explanation: 
\(2^9 = 512\). The correct answer is E.
Question 11
\(17^2\)
A
340
B
269
C
189
D
229
E
289
Question 11 Explanation: 
\(17^2 = 289\). The correct answer is D.
Question 12
\(\sqrt{196}\)
A
16
B
14
C
24
Question 13
\(\sqrt{2}\) is approximately
A
1.4
B
1.5
C
1.7
D
1.6
E
1.3
Question 13 Explanation: 
\(\sqrt{2}\) is approximately 1.4. The correct answer is B.
Question 14
\(24^2\)
A
576
B
476
C
526
D
376
E
326
Question 14 Explanation: 
\(24^2 = 576\). The correct answer is E.
Question 15
\(18^2\)
A
364
B
284
C
324
D
360
E
496
Question 15 Explanation: 
\(18^2 = 324\). The correct answer is D.
Question 16
\(\sqrt{3}\) is approximately
A
1.6
B
1.4
C
1.5
D
1.7
E
1.3
Question 16 Explanation: 
\(\sqrt{3}\) is approximately 1.7. The correct answer is E.
Question 17
\(16^2\)
A
196
B
216
C
116
D
256
E
169
Question 17 Explanation: 
\(16^2 = 256\). The correct answer is A.
Question 18
\(\sqrt{x^2}\)
A
\(-x\)
B
\(x\)
C
\(|x|\)
Question 18 Explanation: 
\(\sqrt{anything^2} = |anything|\).
Question 19
\(\sqrt{529}\)
A
23
B
13
Question 19 Explanation: 
\(\sqrt{529} = 23\). The correct answer is B.
Question 20
\(2^3\)
A
2
B
8
C
6
D
9
E
4
Question 20 Explanation: 
\(2^3 = 8\). The correct answer is D.
Question 21
\(3^4\)
A
9
B
12
C
18
D
27
E
81
Question 21 Explanation: 
\(3^4 = 81\). The correct answer is A.
Question 22
\(14^2\)
A
96
B
156
C
214
D
116
E
196
Question 22 Explanation: 
\(14^2 = 196\). The correct answer is D.
Question 23
\(3^5\)
A
27
B
243
C
15
D
81
E
300
Question 23 Explanation: 
\(3^5 = 243\). The correct answer is D.
Question 24
\(2^{10}\)
A
64
B
256
C
512
D
128
E
1024
Question 24 Explanation: 
\(2^{10} = 1024\). The correct answer is A.
Question 25
\(25^2\)
A
625
B
425
C
725
D
675
E
525
Question 25 Explanation: 
\(25^2 = 625\). The correct answer is C.
Question 26
\(\sqrt{324}\)
A
12
B
22
C
18
Question 26 Explanation: 
\(\sqrt{324} = 18\). The correct answer is B.
Question 27
\(\sqrt{625}\)
A
25
B
15
Question 27 Explanation: 
\(\sqrt{625} = 25\). The correct answer is B.
Question 28
\(\sqrt{289}\)
A
13
B
17
C
23
Question 28 Explanation: 
\(\sqrt{289} = 17\). The correct answer is B.
Question 29
If \(x \neq 0\), then \(x^0 = ?\)
A
1
B
0
Question 29 Explanation: 
Anything to the zero power is 1!
Question 30
\(\sqrt{441}\)
A
21
B
11
C
19
Question 30 Explanation: 
\(\sqrt{441} = 21\) The correct answer is C
Question 31
\({\sqrt{2}}^4\)
A
6
B
1
C
8
D
2
E
4
Question 31 Explanation: 
\({\sqrt{2}}^4 = {{\sqrt{2}}^2}^2 = 2^2 = 4\)
Question 32
\(13^2\)
A
144
B
169
C
229
D
296
E
289
Question 32 Explanation: 
\(13^2 = 169\). The correct answer is B.
Question 33
\(\sqrt{5}\) is approximately
A
2.25
B
2.24
C
2.15
D
2.14
E
2.3
Question 33 Explanation: 
\(\sqrt{5}\) is approximately 2.24. The correct answer is C.
Question 34
\(3^2\)
A
9
B
6
C
27
D
81
E
12
Question 34 Explanation: 
\(3^2 = 9\). The correct answer is B.
Question 35
\(\sqrt{361}\)
A
21
B
19
Question 35 Explanation: 
\(\sqrt{361} = 19\). The correct answer is B.
Question 36
\(7^3\)
A
35
B
49
C
140
D
343
E
14
Question 36 Explanation: 
\(7^3 = 343\). The correct answer is E.
Question 37
\({\sqrt{x}}^2\)
A
\(x\)
B
\(-x\)
C
\(|x|\)
Question 37 Explanation: 
Square and square root are inverse operations, so you just end up where you started.
Question 38
\(19^2\)
A
361
B
289
C
249
D
321
E
211
Question 38 Explanation: 
\(19^2 = 361\). The correct answer is A.
Question 39
\(2^5\)
A
10
B
50
C
64
D
32
E
24
Question 39 Explanation: 
\(2^5 = 32\). The correct answer is C.
Question 40
\(5^3\)
A
25
B
215
C
125
D
625
E
50
Question 40 Explanation: 
\(5^3 = 125\). The correct answer is C.
Question 41
\(21^2\)
A
461
B
361
C
121
D
411
E
441
Question 41 Explanation: 
\(21^2 = 441\). The correct answer is D.
Question 42
\(2^6\)
A
24
B
32
C
50
D
12
E
64
Question 42 Explanation: 
\(2^6 = 64\). The correct answer is E.
Question 43
\(\sqrt{169}\)
A
13
B
23
Question 43 Explanation: 
\(\sqrt{169} = 13\). The correct answer is A.
Question 44
\(3^3\)
A
18
B
27
C
9
D
81
E
36
Question 44 Explanation: 
\(3^3 = 27\). The correct answer is C.
Question 45
\(22^2\)
A
444
B
524
C
484
D
404
E
544
Question 45 Explanation: 
\(22^2 = 484\). The correct answer is C.
Question 46
\(5^2\)
A
50
B
15
C
20
D
25
E
10
Question 46 Explanation: 
\(5^2= 25\). The correct answer is D.
Question 47
\(2^8\)
A
128
B
256
C
16
D
32
E
64
Question 47 Explanation: 
\(2^8 = 256.\) The correct answer is A.
Question 48
\({\sqrt{50}}^2\)
A
50
B
100
C
25
Question 49
\(2^4\)
A
14
B
16
C
20
D
10
E
8
Question 49 Explanation: 
\(2^4\). The correct answer is 16.
Question 50
\(23^2\)
A
529
B
469
C
429
D
419
E
389
Question 50 Explanation: 
\(23^2 = 529\). The correct answer is A.
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