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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. 2^3
144
= the cube root of 8 = 2
1024
8

2. 2^10
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120
2.23
8.33%
1024

3. Examples of roots simplification
2.23
1296
?25.16 = ?25 . ?16 = 5.4 - ?50 . ?18 = ?50.18 = ?900 = 30 - ?144:16 = ?144 : ?16 = 12/4 = 3
Take the reciprocal of the base and change the sign of the exponent (2)^-2 = 1^2/2^2 = 1/4

4. 6^5
25%
7776
75%
2.23

5. 17^2
512
75%
289
16

6. 2^5
Subtract the exponents and keep the base the same 4^5/4^2 = 4^3
256
32
...yields a smaller result (1/2)^2 = 1/4

7. 1/12
Subtract the exponents and keep the base the same 4^5/4^2 = 4^3
...yields a smaller result (1/2)^2 = 1/4
8.33%
8 - 16 - 24 - 32 - 40 - 48 - 56 - 64 - 72 - 80 - 88 - 96 - 104 - 112 - 120

8. 4^4
196
12.50%
256
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120

9. what happens when an exponent is negative?
12.50%
Take the reciprocal of the base and change the sign of the exponent (2)^-2 = 1^2/2^2 = 1/4
1024
75%

10. a negative number raised to an even power...
216
...yields a positive result (-1)^2 = 1
289
40%

11. 19^2
16
361
225
2.449

12. Express 8^1/3 as a radical
64
= the cube root of 8 = 2
A^2 + 2ab + b^2
(A+B)(A-B)

13. ?25+16 = ?41
You cannot simplify this one
625
2.449
12.50%

14. A^2-B^2
25%
A^2 - 2ab + b^2
(A+B)(A-B)
12 - 24 - 36 - 48 - 60 - 72 - 84 - 96 - 108 - 120

15. 11^2
128
81
You cannot simplify this one
121

16. 1/6
2
= the square root of 9 = 3
(a-b)(a^2+ab+b^2)
16.67%

17. 5^3
2
83.33%
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
125

18. 15^2
225
256
Multiply the exponents 7^2(^3) = 7^6
{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}

19. 2^4
32
16
256
...yields a smaller result (1/2)^2 = 1/4

20. 4^3
64
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120
1296
32

21. Prime Numbers between 1 - 100 (total of 25)
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}
13
25%

22. to divide powers with the same base...
144
Subtract the exponents and keep the base the same 4^5/4^2 = 4^3
256
5%

23. 2^2
64
2
4
2.449

24. Express 9^1/2 as a radical
121
...yields a smaller result (1/2)^2 = 1/4
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
= the square root of 9 = 3

25. 5^4
25%
87.50%
12.50%
625

26. 1/6
= the square root of 9 = 3
16.66%
12.50%
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120

27. 5/6
Multiply the exponents 7^2(^3) = 7^6
83.33%
256
You cannot simplify this one

28. Simplifying a root
2.449
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
Add the exponents and keep the base 7^3 x 7^5 = 7^8

29. 3^5
2.449
243
Add the exponents and keep the base 7^3 x 7^5 = 7^8
289

30. a negative number raised to an odd power...
324
8
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
...yields a negative result (-1)^57 = -1

31. 14^2
64
243
196
81

32. 2^7
16.66%
Add the exponents and keep the base 7^3 x 7^5 = 7^8
128
1.41

33. 3^3
12 - 24 - 36 - 48 - 60 - 72 - 84 - 96 - 108 - 120
= the cube root of 8 = 2
27
Subtract the exponents and keep the base the same 4^5/4^2 = 4^3

34. a^3-b^3
324
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120
2.449
(a-b)(a^2+ab+b^2)

35. raising a fraction between zero and 1 to a power...
...yields a smaller result (1/2)^2 = 1/4
?25.16 = ?25 . ?16 = 5.4 - ?50 . ?18 = ?50.18 = ?900 = 30 - ?144:16 = ?144 : ?16 = 12/4 = 3
= the square root of 9 = 3
A^2 - 2ab + b^2

36. 18^2
121
Multiply the exponents 7^2(^3) = 7^6
16.67%
324

37. ? 3
196
1.73
121
{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}

38. to multiple powers with the same base...
169
Add the exponents and keep the base 7^3 x 7^5 = 7^8
1024
7776

39. 3^4
8
Add the exponents and keep the base 7^3 x 7^5 = 7^8
81
256

40. 13^2
169
64
216
8 - 16 - 24 - 32 - 40 - 48 - 56 - 64 - 72 - 80 - 88 - 96 - 104 - 112 - 120

41. ? 4
Add the exponents and keep the base 7^3 x 7^5 = 7^8
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
Multiply the exponents 7^2(^3) = 7^6
2

42. ? 5
2.23
64
50%
16.66%

43. Multiples of 12
12 - 24 - 36 - 48 - 60 - 72 - 84 - 96 - 108 - 120
16.67%
...yields a positive result (-1)^2 = 1
196

44. 1/8
= the square root of 9 = 3
128
A^2 + 2ab + b^2
12.50%

45. 2^9
4
512
16
27

46. (a-b)^2 =
1296
20%
A^2 - 2ab + b^2
13

47. 1/2
Add the exponents and keep the base 7^3 x 7^5 = 7^8
50%
25%
16

48. ? 169
64
324
16
13

49. 2^6
2.23
216
2.449
64

50. Multiples of 8
1296
40%
1.41
8 - 16 - 24 - 32 - 40 - 48 - 56 - 64 - 72 - 80 - 88 - 96 - 104 - 112 - 120

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