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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. ? 4
2
40%
25
16

2. 3^3
27
625
4
32

3. Examples of roots simplification
40%
64
196
?25.16 = ?25 . ?16 = 5.4 - ?50 . ?18 = ?50.18 = ?900 = 30 - ?144:16 = ?144 : ?16 = 12/4 = 3

4. 16^2
256
512
(a-b)(a^2+ab+b^2)
A^2 + 2ab + b^2

5. 13^2
169
Take the reciprocal of the base and change the sign of the exponent (2)^-2 = 1^2/2^2 = 1/4
40%
You cannot simplify this one

6. 14^2
196
87.50%
243
4

7. 2^5
13
8
32
196

8. 5^3
5%
1024
125
(a-b)(a^2+ab+b^2)

9. Express 8^1/3 as a radical
= the square root of 9 = 3
Add the exponents and keep the base 7^3 x 7^5 = 7^8
40%
= the cube root of 8 = 2

10. 1/4
512
2.23
Take the reciprocal of the base and change the sign of the exponent (2)^-2 = 1^2/2^2 = 1/4
25%

11. 2^3
Add the exponents and keep the base 7^3 x 7^5 = 7^8
25
243
8

12. 2^10
1024
...yields a negative result (-1)^57 = -1
1296
361

13. 1/12
87.50%
125
8.33%
(a+b)(a^2-ab+b^2)

14. to multiple powers with the same base...
144
Add the exponents and keep the base 7^3 x 7^5 = 7^8
81
2.449

15. 1/5
50%
20%
8 - 16 - 24 - 32 - 40 - 48 - 56 - 64 - 72 - 80 - 88 - 96 - 104 - 112 - 120
81

16. 1/6
196
7776
16.67%
169

17. 11^2
121
8.33%
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120
= the cube root of 8 = 2

18. 3^4
64
81
1024
3125

19. 15^2
625
25%
225
5%

20. a negative number raised to an even power...
...yields a positive result (-1)^2 = 1
83.33%
256
32

21. 3/4
16.66%
5%
75%
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120

22. to multiple powers (or raise a power to a power)
Multiply the exponents 7^2(^3) = 7^6
13
8.33%
125

23. 6^4
1296
...yields a positive result (-1)^2 = 1
20%
225

24. A^2-B^2
4
(A+B)(A-B)
256
Take the reciprocal of the base and change the sign of the exponent (2)^-2 = 1^2/2^2 = 1/4

25. 2^4
1.41
16
...yields a smaller result (1/2)^2 = 1/4
A^2 - 2ab + b^2

26. 3^5
81
243
= the cube root of 8 = 2
125

27. what happens when an exponent is negative?
1024
Take the reciprocal of the base and change the sign of the exponent (2)^-2 = 1^2/2^2 = 1/4
8.33%
(A+B)(A-B)

28. 1/2
50%
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
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120
7776

29. 7/8
196
64
40%
87.50%

30. to divide powers with the same base...
(a+b)(a^2-ab+b^2)
= the square root of 9 = 3
243
Subtract the exponents and keep the base the same 4^5/4^2 = 4^3

31. 1/20
256
A^2 + 2ab + b^2
256
5%

32. 5/6
196
83.33%
32
2.449

33. ? 169
13
...yields a smaller result (1/2)^2 = 1/4
2.23
87.50%

34. 1/6
256
32
7776
16.66%

35. Express 9^1/2 as a radical
= the square root of 9 = 3
256
64
8 - 16 - 24 - 32 - 40 - 48 - 56 - 64 - 72 - 80 - 88 - 96 - 104 - 112 - 120

36. ? 2
25%
1.41
A^2 + 2ab + b^2
289

37. a negative number raised to an odd power...
Multiply the exponents 7^2(^3) = 7^6
83.33%
...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

38. 6^3
216
5%
81
625

39. (a+b)^2 =
...yields a positive result (-1)^2 = 1
A^2 + 2ab + b^2
?25.16 = ?25 . ?16 = 5.4 - ?50 . ?18 = ?50.18 = ?900 = 30 - ?144:16 = ?144 : ?16 = 12/4 = 3
81

40. 17^2
25%
(a+b)(a^2-ab+b^2)
2.449
289

41. 2^9
225
256
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120
512

42. 19^2
(A+B)(A-B)
361
196
= the square root of 9 = 3

43. (a-b)^2 =
8.33%
16
25
A^2 - 2ab + b^2

44. 4^5
121
25%
1024
256

45. Multiples of 12
16.66%
Multiply the exponents 7^2(^3) = 7^6
12 - 24 - 36 - 48 - 60 - 72 - 84 - 96 - 108 - 120
625

46. 18^2
324
121
1.41
2.23

47. ? 3
You cannot simplify this one
625
1.73
64

48. 2^6
64
3125
512
121

49. 1/8
7776
Take the reciprocal of the base and change the sign of the exponent (2)^-2 = 1^2/2^2 = 1/4
Add the exponents and keep the base 7^3 x 7^5 = 7^8
12.50%

50. 4^4
289
16
256
= the cube root of 8 = 2

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