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GMAT Quick Math And Formulas

Subjects : gmat, math

Instructions:

Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can study here.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.

1. ? 3
1.73
...yields a smaller result (1/2)^2 = 1/4
75%
13

2. a negative number raised to an odd power...
83.33%
625
...yields a negative result (-1)^57 = -1
GMAT very often tries to trick you by giving a root linked by addition where it is tempting to simplify the terms - for example: ?(25 + 16). It is tempting to think that this will result into 5 + 4 - but you can only simplify roots when the terms ins

3. 17^2
289
125
2.23
324

4. 2^8
13
...yields a negative result (-1)^57 = -1
256
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120

5. 2^7
216
(a-b)(a^2+ab+b^2)
75%
128

6. to multiple powers with the same base...
(A+B)(A-B)
1.73
225
Add the exponents and keep the base 7^3 x 7^5 = 7^8

7. Express 8^1/3 as a radical
87.50%
= the square root of 9 = 3
= the cube root of 8 = 2
324

8. 4^4
16
121
256
GMAT very often tries to trick you by giving a root linked by addition where it is tempting to simplify the terms - for example: ?(25 + 16). It is tempting to think that this will result into 5 + 4 - but you can only simplify roots when the terms ins

9. 2^9
20%
512
225
13

10. a^3+b^3
64
12 - 24 - 36 - 48 - 60 - 72 - 84 - 96 - 108 - 120
(a+b)(a^2-ab+b^2)
216

11. 15^2
225
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120
243
196

12. A^2-B^2
?25.16 = ?25 . ?16 = 5.4 - ?50 . ?18 = ?50.18 = ?900 = 30 - ?144:16 = ?144 : ?16 = 12/4 = 3
A^2 + 2ab + b^2
(A+B)(A-B)
16

13. ?25+16 = ?41
= the square root of 9 = 3
...yields a negative result (-1)^57 = -1
GMAT very often tries to trick you by giving a root linked by addition where it is tempting to simplify the terms - for example: ?(25 + 16). It is tempting to think that this will result into 5 + 4 - but you can only simplify roots when the terms ins
You cannot simplify this one

14. 5^5
169
125
3125
27

15. 6^3
289
12 - 24 - 36 - 48 - 60 - 72 - 84 - 96 - 108 - 120
216
Add the exponents and keep the base 7^3 x 7^5 = 7^8

16. 18^2
324
8
Subtract the exponents and keep the base the same 4^5/4^2 = 4^3
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120

17. a negative number raised to an even power...
5%
2.449
1296
...yields a positive result (-1)^2 = 1

18. 2^2
324
...yields a positive result (-1)^2 = 1
...yields a negative result (-1)^57 = -1
4

19. 2^5
?25.16 = ?25 . ?16 = 5.4 - ?50 . ?18 = ?50.18 = ?900 = 30 - ?144:16 = ?144 : ?16 = 12/4 = 3
225
7776
32

20. Multiples of 15
12 - 24 - 36 - 48 - 60 - 72 - 84 - 96 - 108 - 120
...yields a negative result (-1)^57 = -1
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120
2.23

21. a^3-b^3
75%
256
(a-b)(a^2+ab+b^2)
13

22. 7/8
87.50%
12 - 24 - 36 - 48 - 60 - 72 - 84 - 96 - 108 - 120
25%
64

23. 2/5
40%
(a-b)(a^2+ab+b^2)
7776
...yields a smaller result (1/2)^2 = 1/4

24. ? 4
2
243
= the cube root of 8 = 2
324

25. 1/6
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120
A^2 - 2ab + b^2
16.66%
81

26. 12^2
144
{2 -3 -5 -7 -11 -13 -17 -19 -23 -29 -31 -37 -41 -43 -47 -53 -59 -61 -67 -71 -73 -79 -83 -89 -97}
81
16.67%

27. 1/8
196
121
2
12.50%

28. 14^2
256
12 - 24 - 36 - 48 - 60 - 72 - 84 - 96 - 108 - 120
196
Add the exponents and keep the base 7^3 x 7^5 = 7^8

29. ? 169
4
(a-b)(a^2+ab+b^2)
Subtract the exponents and keep the base the same 4^5/4^2 = 4^3
13

30. to multiple powers (or raise a power to a power)
?25.16 = ?25 . ?16 = 5.4 - ?50 . ?18 = ?50.18 = ?900 = 30 - ?144:16 = ?144 : ?16 = 12/4 = 3
1024
Multiply the exponents 7^2(^3) = 7^6
You cannot simplify this one

31. 4^5
216
1024
27
13

32. Express 9^1/2 as a radical
GMAT very often tries to trick you by giving a root linked by addition where it is tempting to simplify the terms - for example: ?(25 + 16). It is tempting to think that this will result into 5 + 4 - but you can only simplify roots when the terms ins
243
= the square root of 9 = 3
196

33. 4^3
64
8
1.41
1296

34. ? 625
(A+B)(A-B)
169
25
196

35. 2^3
8
196
1024
8.33%

36. 2^10
4
1024
...yields a positive result (-1)^2 = 1
7776

37. 3^4
12.50%
144
81
4

38. 6^4
1296
= the square root of 9 = 3
12.50%
Subtract the exponents and keep the base the same 4^5/4^2 = 4^3

39. ? 5
2.23
= the cube root of 8 = 2
8.33%
64

40. Simplifying a root
GMAT very often tries to trick you by giving a root linked by addition where it is tempting to simplify the terms - for example: ?(25 + 16). It is tempting to think that this will result into 5 + 4 - but you can only simplify roots when the terms ins
25
8
324

41. 5/6
256
Subtract the exponents and keep the base the same 4^5/4^2 = 4^3
83.33%
2

42. 2^4
32
16
20%
64

43. (a+b)^2 =
...yields a smaller result (1/2)^2 = 1/4
16
A^2 + 2ab + b^2
225

44. to divide powers with the same base...
Subtract the exponents and keep the base the same 4^5/4^2 = 4^3
(A+B)(A-B)
50%
A^2 - 2ab + b^2

45. 5^3
Take the reciprocal of the base and change the sign of the exponent (2)^-2 = 1^2/2^2 = 1/4
?25.16 = ?25 . ?16 = 5.4 - ?50 . ?18 = ?50.18 = ?900 = 30 - ?144:16 = ?144 : ?16 = 12/4 = 3
16.66%
125

46. raising a fraction between zero and 1 to a power...
...yields a smaller result (1/2)^2 = 1/4
You cannot simplify this one
40%
Subtract the exponents and keep the base the same 4^5/4^2 = 4^3

47. (a-b)^2 =
25
25%
256
A^2 - 2ab + b^2

48. 5^4
?25.16 = ?25 . ?16 = 5.4 - ?50 . ?18 = ?50.18 = ?900 = 30 - ?144:16 = ?144 : ?16 = 12/4 = 3
...yields a positive result (-1)^2 = 1
1.73
625

49. what happens when an exponent is negative?
512
Take the reciprocal of the base and change the sign of the exponent (2)^-2 = 1^2/2^2 = 1/4
7776
25

50. Prime Numbers between 1 - 100 (total of 25)
16
A^2 - 2ab + b^2
{2 -3 -5 -7 -11 -13 -17 -19 -23 -29 -31 -37 -41 -43 -47 -53 -59 -61 -67 -71 -73 -79 -83 -89 -97}
Subtract the exponents and keep the base the same 4^5/4^2 = 4^3

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GMAT Quick Math And Formulas

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