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

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

Please wait while the activity loads.
If this activity does not load, try refreshing your browser. Also, this page requires javascript. Please visit using a browser with javascript enabled.

If loading fails, click here to try again

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

\(2^8\)

A	64
B	16
C	128
D	32
E	256

Question 1 Explanation:

\(2^8 = 256.\) The correct answer is A.

Question 2

\(2^9\)

A	512
B	32
C	128
D	256
E	64

Question 2 Explanation:

\(2^9 = 512\). The correct answer is E.

Question 3

\(\sqrt{441}\)

A	19
B	21
C	11

Question 3 Explanation:

\(\sqrt{441} = 21\) The correct answer is C

Question 4

\(5^2\)

A	10
B	50
C	20
D	25
E	15

Question 4 Explanation:

\(5^2= 25\). The correct answer is D.

Question 5

\(2^{10}\)

A	1024
B	512
C	64
D	128
E	256

Question 5 Explanation:

\(2^{10} = 1024\). The correct answer is A.

Question 6

\(13^2\)

A	169
B	144
C	229
D	296
E	289

Question 6 Explanation:

\(13^2 = 169\). The correct answer is B.

Question 7

\(\sqrt{324}\)

A	22
B	18
C	12

Question 7 Explanation:

\(\sqrt{324} = 18\). The correct answer is B.

Question 8

\({\sqrt{2}}^4\)

A	2
B	4
C	8
D	1
E	6

Question 8 Explanation:

\({\sqrt{2}}^4 = {{\sqrt{2}}^2}^2 = 2^2 = 4\)

Question 9

\(12^2\)

A	132
B	184
C	144
D	100
E	169

Question 9 Explanation:

\(12^2 = 144\). The correct answer is C.

Question 10

\(21^2\)

A	121
B	361
C	441
D	461
E	411

Question 10 Explanation:

\(21^2 = 441\). The correct answer is D.

Question 11

\(14^2\)

A	156
B	96
C	116
D	214
E	196

Question 11 Explanation:

\(14^2 = 196\). The correct answer is D.

Question 12

\(\sqrt{256}\)

A	24
B	16
C	14

Question 12 Explanation:

\(\sqrt{256} = 16\). The correct answer is B.

Question 13

\(\sqrt{576}\)

A	16
B	14
C	24
D	26

Question 13 Explanation:

\(\sqrt{576} = 24\). The correct answer is C.

Question 14

If \(x \neq 0\), then \(x^0 = ?\)

A	0
B	1

Question 14 Explanation:

Anything to the zero power is 1!

Question 15

\(\sqrt{484}\)

A	12
B	22
C	18

Question 15 Explanation:

\(\sqrt{484} = 22\). The correct answer is A.

Question 16

\(3^4\)

A	12
B	18
C	9
D	27
E	81

Question 16 Explanation:

\(3^4 = 81\). The correct answer is A.

Question 17

\(24^2\)

A	576
B	376
C	326
D	476
E	526

Question 17 Explanation:

\(24^2 = 576\). The correct answer is E.

Question 18

\(\sqrt{289}\)

A	13
B	23
C	17

Question 18 Explanation:

\(\sqrt{289} = 17\). The correct answer is B.

Question 19

\(\sqrt{225}\)

A	25
B	15

Question 20

\(25^2\)

A	625
B	425
C	675
D	525
E	725

Question 20 Explanation:

\(25^2 = 625\). The correct answer is C.

Question 21

\(3^3\)

A	36
B	81
C	18
D	9
E	27

Question 21 Explanation:

\(3^3 = 27\). The correct answer is C.

Question 22

\(5^4\)

A	1025
B	250
C	500
D	125
E	625

Question 22 Explanation:

\(5^4= 625\). The correct answer is B.

Question 23

\(23^2\)

A	529
B	389
C	469
D	419
E	429

Question 23 Explanation:

\(23^2 = 529\). The correct answer is A.

Question 24

\(7^3\)

A	49
B	343
C	35
D	140
E	14

Question 24 Explanation:

\(7^3 = 343\). The correct answer is E.

Question 25

\(\sqrt{3}\) is approximately

A	1.4
B	1.7
C	1.6
D	1.3
E	1.5

Question 25 Explanation:

\(\sqrt{3}\) is approximately 1.7. The correct answer is E.

Question 26

\(17^2\)

A	340
B	189
C	289
D	269
E	229

Question 26 Explanation:

\(17^2 = 289\). The correct answer is D.

Question 27

\(\sqrt{361}\)

A	19
B	21

Question 27 Explanation:

\(\sqrt{361} = 19\). The correct answer is B.

Question 28

\(2^5\)

A	10
B	64
C	50
D	32
E	24

Question 28 Explanation:

\(2^5 = 32\). The correct answer is C.

Question 29

\(3^5\)

A	81
B	15
C	27
D	243
E	300

Question 29 Explanation:

\(3^5 = 243\). The correct answer is D.

Question 30

\(19^2\)

A	249
B	321
C	211
D	289
E	361

Question 30 Explanation:

\(19^2 = 361\). The correct answer is A.

Question 31

\(\sqrt{2}\) is approximately

A	1.5
B	1.4
C	1.7
D	1.6
E	1.3

Question 31 Explanation:

\(\sqrt{2}\) is approximately 1.4. The correct answer is B.

Question 32

\(7^2\)

A	7
B	49
C	35
D	21
E	14

Question 32 Explanation:

\(7^2 = 49\). The correct answer is E.

Question 33

\(3^2\)

A	9
B	12
C	81
D	6
E	27

Question 33 Explanation:

\(3^2 = 9\). The correct answer is B.

Question 34

\(\sqrt{5}\) is approximately

A	2.3
B	2.15
C	2.25
D	2.14
E	2.24

Question 34 Explanation:

\(\sqrt{5}\) is approximately 2.24. The correct answer is C.

Question 35

\(22^2\)

A	484
B	544
C	524
D	404
E	444

Question 35 Explanation:

\(22^2 = 484\). The correct answer is C.

Question 36

\({\sqrt{x}}^2\)

A	\(-x\)
B	\(\|x\|\)
C	\(x\)

Question 36 Explanation:

Square and square root are inverse operations, so you just end up where you started.

Question 37

\(5^3\)

A	625
B	215
C	50
D	125
E	25

Question 37 Explanation:

\(5^3 = 125\). The correct answer is C.

Question 38

\(\sqrt{x^2}\)

A	\(-x\)
B	\(\|x\|\)
C	\(x\)

Question 38 Explanation:

\(\sqrt{anything^2} = |anything|\).

Question 39

\(2^7\)

A	256
B	14
C	128
D	64
E	32

Question 39 Explanation:

\(2^7 = 128\). The correct answer is B.

Question 40

\(18^2\)

A	324
B	284
C	360
D	496
E	364

Question 40 Explanation:

\(18^2 = 324\). The correct answer is D.

Question 41

\(2^6\)

A	32
B	24
C	12
D	50
E	64

Question 41 Explanation:

\(2^6 = 64\). The correct answer is E.

Question 42

\(\sqrt{529}\)

A	13
B	23

Question 42 Explanation:

\(\sqrt{529} = 23\). The correct answer is B.

Question 43

\(16^2\)

A	169
B	216
C	196
D	256
E	116

Question 43 Explanation:

\(16^2 = 256\). The correct answer is A.

Question 44

\(\sqrt{169}\)

A	13
B	23

Question 44 Explanation:

\(\sqrt{169} = 13\). The correct answer is A.

Question 45

\(2^4\)

A	10
B	8
C	20
D	16
E	14

Question 45 Explanation:

\(2^4\). The correct answer is 16.

Question 46

\({\sqrt{50}}^2\)

A	50
B	25
C	100

Question 47

\(\sqrt{625}\)

A	15
B	25

Question 47 Explanation:

\(\sqrt{625} = 25\). The correct answer is B.

Question 48

\(15^2\)

A	125
B	225
C	30
D	205
E	250

Question 48 Explanation:

\(15^2 = 225\). The correct answer is D.

Question 49

\(2^3\)

A	9
B	8
C	6
D	2
E	4

Question 49 Explanation:

\(2^3 = 8\). The correct answer is D.

Question 50

\(\sqrt{196}\)

A	14
B	16
C	24

Once you are finished, click the button below. Any items you have not completed will be marked incorrect. Get Results

There are 50 questions to complete.

←

List

→

Return

Shaded items are complete.

1	2	3	4	5
6	7	8	9	10
11	12	13	14	15
16	17	18	19	20
21	22	23	24	25
26	27	28	29	30
31	32	33	34	35
36	37	38	39	40
41	42	43	44	45
46	47	48	49	50
End

Return

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

Related