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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. 2^9
16.67%
32
7776
512

2. 6^4
1296
= the square root of 9 = 3
27
512

3. 1/12
8.33%
16
Multiply the exponents 7^2(^3) = 7^6
12 - 24 - 36 - 48 - 60 - 72 - 84 - 96 - 108 - 120

4. 3/4
216
16.67%
(A+B)(A-B)
75%

5. √ 625
40%
You cannot simplify this one
25
= the cube root of 8 = 2

6. a negative number raised to an odd power...
81
3125
...yields a smaller result (1/2)^2 = 1/4
...yields a negative result (-1)^57 = -1

7. 1/2
50%
324
A^2 - 2ab + b^2
Take the reciprocal of the base and change the sign of the exponent (2)^-2 = 1^2/2^2 = 1/4

8. 5^4
125
4
256
625

9. 2^7
144
1296
128
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120

10. 1/20
216
Take the reciprocal of the base and change the sign of the exponent (2)^-2 = 1^2/2^2 = 1/4
5%
8.33%

11. √ 2
5%
1.41
243
13

12. 4^5
169
13
81
1024

13. √ 5
A^2 - 2ab + b^2
2.23
121
3125

14. 5/6
625
83.33%
256
512

15. 15^2
√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
225
You cannot simplify this one

16. 1/4
8 - 16 - 24 - 32 - 40 - 48 - 56 - 64 - 72 - 80 - 88 - 96 - 104 - 112 - 120
25%
A^2 - 2ab + b^2
169

17. 19^2
1024
(a+b)(a^2-ab+b^2)
361
16.67%

18. 11^2
289
2.23
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120
121

19. 12^2
50%
...yields a positive result (-1)^2 = 1
144
128

20. 6^5
7776
625
8 - 16 - 24 - 32 - 40 - 48 - 56 - 64 - 72 - 80 - 88 - 96 - 104 - 112 - 120
25

21. 2^10
(a+b)(a^2-ab+b^2)
1024
196
50%

22. 2^8
256
A^2 - 2ab + b^2
75%
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

23. Multiples of 15
12.50%
(a-b)(a^2+ab+b^2)
512
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120

24. 3^3
196
40%
27
32

25. 2^2
25
361
7776
4

26. (a-b)^2 =
= the square root of 9 = 3
(a-b)(a^2+ab+b^2)
A^2 - 2ab + b^2
13

27. 2^3
289
64
8
A^2 + 2ab + b^2

28. (a+b)^2 =
5%
87.50%
A^2 + 2ab + b^2
81

29. 5^5
...yields a negative result (-1)^57 = -1
A^2 + 2ab + b^2
2
3125

30. 2^6
64
Subtract the exponents and keep the base the same 4^5/4^2 = 4^3
5%
512

31. 7/8
83.33%
50%
87.50%
216

32. Prime Numbers between 1 - 100 (total of 25)
(a+b)(a^2-ab+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}
...yields a negative result (-1)^57 = -1
81

33. Express 8^1/3 as a radical
= the cube root of 8 = 2
256
16
...yields a negative result (-1)^57 = -1

34. to divide powers with the same base...
Subtract the exponents and keep the base the same 4^5/4^2 = 4^3
= the square root of 9 = 3
25%
4

35. 3^5
243
256
3125
4

36. 2/5
64
40%
256
16.67%

37. √ 169
...yields a negative result (-1)^57 = -1
13
289
216

38. 13^2
Add the exponents and keep the base 7^3 x 7^5 = 7^8
50%
289
169

39. 18^2
You cannot simplify this one
324
25%
(a+b)(a^2-ab+b^2)

40. Examples of roots simplification
Take the reciprocal of the base and change the sign of the exponent (2)^-2 = 1^2/2^2 = 1/4
324
= the cube root of 8 = 2
√25.16 = √25 . √16 = 5.4 - √50 . √18 = √50.18 = √900 = 30 - √144:16 = √144 : √16 = 12/4 = 3

41. a negative number raised to an even power...
(a-b)(a^2+ab+b^2)
...yields a positive result (-1)^2 = 1
...yields a smaller result (1/2)^2 = 1/4
256

42. raising a fraction between zero and 1 to a power...
225
625
...yields a smaller result (1/2)^2 = 1/4
A^2 - 2ab + b^2

43. A^2-B^2
75%
7776
256
(A+B)(A-B)

44. 1/6
...yields a positive result (-1)^2 = 1
Take the reciprocal of the base and change the sign of the exponent (2)^-2 = 1^2/2^2 = 1/4
{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}
16.66%

45. 1/6
(a+b)(a^2-ab+b^2)
256
16.67%
1024

46. to multiple powers (or raise a power to a power)
= the cube root of 8 = 2
(a-b)(a^2+ab+b^2)
= the square root of 9 = 3
Multiply the exponents 7^2(^3) = 7^6

47. 6^3
216
= the square root of 9 = 3
13
324

48. 2^5
1024
128
32
25

49. 5^3
87.50%
125
169
2.23

50. √ 4
2
289
1.41
1296

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GMAT Quick Math And Formulas

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