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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. 3^4
27
12.50%
83.33%
81

2. 1/2
243
1024
20%
50%

3. Prime Numbers between 1 - 100 (total of 25)
243
361
{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}
A^2 + 2ab + b^2

4. to divide powers with the same base...
Add the exponents and keep the base 7^3 x 7^5 = 7^8
Subtract the exponents and keep the base the same 4^5/4^2 = 4^3
169
...yields a negative result (-1)^57 = -1

5. √ 2
1024
1.41
225
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120

6. 2^2
289
216
4
8

7. √ 4
2
...yields a positive result (-1)^2 = 1
13
Subtract the exponents and keep the base the same 4^5/4^2 = 4^3

8. √ 6
Add the exponents and keep the base 7^3 x 7^5 = 7^8
25
2.449
...yields a negative result (-1)^57 = -1

9. (a-b)^2 =
Subtract the exponents and keep the base the same 4^5/4^2 = 4^3
2.23
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120
A^2 - 2ab + b^2

10. 1/8
12.50%
512
32
75%

11. 3^3
75%
81
27
13

12. Multiples of 12
Multiply the exponents 7^2(^3) = 7^6
4
12 - 24 - 36 - 48 - 60 - 72 - 84 - 96 - 108 - 120
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

13. a^3+b^3
8.33%
1.41
...yields a negative result (-1)^57 = -1
(a+b)(a^2-ab+b^2)

14. √25+16 = √41
216
You cannot simplify this one
= the cube root of 8 = 2
225

15. 18^2
...yields a negative result (-1)^57 = -1
25%
1.41
324

16. 15^2
1.73
25
= the cube root of 8 = 2
225

17. 5^5
12 - 24 - 36 - 48 - 60 - 72 - 84 - 96 - 108 - 120
13
You cannot simplify this one
3125

18. 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
32
83.33%
25%

19. 4^4
12.50%
75%
256
225

20. to multiple powers (or raise a power to a power)
Multiply the exponents 7^2(^3) = 7^6
Take the reciprocal of the base and change the sign of the exponent (2)^-2 = 1^2/2^2 = 1/4
75%
{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}

21. √ 3
289
5%
40%
1.73

22. 2^10
1024
50%
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120
225

23. A^2-B^2
25
(A+B)(A-B)
216
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

24. 16^2
256
1296
(a-b)(a^2+ab+b^2)
5%

25. a negative number raised to an odd power...
1024
8 - 16 - 24 - 32 - 40 - 48 - 56 - 64 - 72 - 80 - 88 - 96 - 104 - 112 - 120
128
...yields a negative result (-1)^57 = -1

26. 1/20
25%
...yields a positive result (-1)^2 = 1
64
5%

27. 1/6
289
16.66%
√25.16 = √25 . √16 = 5.4 - √50 . √18 = √50.18 = √900 = 30 - √144:16 = √144 : √16 = 12/4 = 3
40%

28. 2^3
125
2
8
32

29. Multiples of 8
16.66%
125
20%
8 - 16 - 24 - 32 - 40 - 48 - 56 - 64 - 72 - 80 - 88 - 96 - 104 - 112 - 120

30. (a+b)^2 =
A^2 + 2ab + b^2
You cannot simplify this one
256
169

31. 12^2
144
5%
75%
40%

32. what happens when an exponent is negative?
1.73
1296
Take the reciprocal of the base and change the sign of the exponent (2)^-2 = 1^2/2^2 = 1/4
12 - 24 - 36 - 48 - 60 - 72 - 84 - 96 - 108 - 120

33. 1/12
361
8.33%
2
20%

34. 5^4
512
625
Add the exponents and keep the base 7^3 x 7^5 = 7^8
2

35. raising a fraction between zero and 1 to a power...
12 - 24 - 36 - 48 - 60 - 72 - 84 - 96 - 108 - 120
...yields a smaller result (1/2)^2 = 1/4
12.50%
1024

36. 4^3
125
64
8 - 16 - 24 - 32 - 40 - 48 - 56 - 64 - 72 - 80 - 88 - 96 - 104 - 112 - 120
16.66%

37. 2^4
(a-b)(a^2+ab+b^2)
...yields a negative result (-1)^57 = -1
16
A^2 - 2ab + b^2

38. 19^2
361
...yields a negative result (-1)^57 = -1
121
256

39. 1/6
1296
16.67%
16
2.449

40. 2^6
625
8 - 16 - 24 - 32 - 40 - 48 - 56 - 64 - 72 - 80 - 88 - 96 - 104 - 112 - 120
125
64

41. 13^2
625
169
Add the exponents and keep the base 7^3 x 7^5 = 7^8
{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}

42. 1/4
12 - 24 - 36 - 48 - 60 - 72 - 84 - 96 - 108 - 120
25%
You cannot simplify this one
75%

43. 14^2
196
243
(a+b)(a^2-ab+b^2)
2

44. 7/8
121
8 - 16 - 24 - 32 - 40 - 48 - 56 - 64 - 72 - 80 - 88 - 96 - 104 - 112 - 120
A^2 - 2ab + b^2
87.50%

45. 2^5
243
256
32
25%

46. Multiples of 15
20%
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120
27
...yields a negative result (-1)^57 = -1

47. 6^5
7776
169
2.23
8 - 16 - 24 - 32 - 40 - 48 - 56 - 64 - 72 - 80 - 88 - 96 - 104 - 112 - 120

48. √ 5
2.23
2
A^2 + 2ab + b^2
87.50%

49. to multiple powers with the same base...
25%
A^2 + 2ab + b^2
1.41
Add the exponents and keep the base 7^3 x 7^5 = 7^8

50. 4^5
1024
256
324
1.73