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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
(a+b)(a^2-ab+b^2)
8 - 16 - 24 - 32 - 40 - 48 - 56 - 64 - 72 - 80 - 88 - 96 - 104 - 112 - 120
1.73
8.33%

2. 3/4
...yields a positive result (-1)^2 = 1
256
75%
12.50%

3. Examples of roots simplification
16
(a-b)(a^2+ab+b^2)
83.33%
√25.16 = √25 . √16 = 5.4 - √50 . √18 = √50.18 = √900 = 30 - √144:16 = √144 : √16 = 12/4 = 3

4. 2^10
16.67%
1024
√25.16 = √25 . √16 = 5.4 - √50 . √18 = √50.18 = √900 = 30 - √144:16 = √144 : √16 = 12/4 = 3
64

5. √ 2
64
289
Multiply the exponents 7^2(^3) = 7^6
1.41

6. 3^5
216
64
...yields a negative result (-1)^57 = -1
243

7. to multiple powers (or raise a power to a power)
Multiply the exponents 7^2(^3) = 7^6
625
75%
256

8. 2^2
4
Take the reciprocal of the base and change the sign of the exponent (2)^-2 = 1^2/2^2 = 1/4
8.33%
8

9. what happens when an exponent is negative?
8
1024
Take the reciprocal of the base and change the sign of the exponent (2)^-2 = 1^2/2^2 = 1/4
32

10. 1/5
25%
20%
3125
...yields a negative result (-1)^57 = -1

11. 2^9
40%
1296
225
512

12. Multiples of 15
3125
16.67%
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120
40%

13. 12^2
144
216
625
27

14. 5^4
16.66%
2.23
625
128

15. 5^5
3125
2.23
16.66%
= the cube root of 8 = 2

16. Express 8^1/3 as a radical
= the cube root of 8 = 2
27
You cannot simplify this one
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120

17. to divide powers with the same base...
87.50%
40%
1.41
Subtract the exponents and keep the base the same 4^5/4^2 = 4^3

18. 15^2
125
169
225
216

19. raising a fraction between zero and 1 to a power...
20%
8.33%
16
...yields a smaller result (1/2)^2 = 1/4

20. 2^8
625
256
81
2.23

21. 14^2
A^2 - 2ab + b^2
196
2
128

22. (a+b)^2 =
169
...yields a positive result (-1)^2 = 1
256
A^2 + 2ab + b^2

23. 1/6
16.67%
√25.16 = √25 . √16 = 5.4 - √50 . √18 = √50.18 = √900 = 30 - √144:16 = √144 : √16 = 12/4 = 3
13
...yields a negative result (-1)^57 = -1

24. 7/8
87.50%
256
Multiply the exponents 7^2(^3) = 7^6
You cannot simplify this one

25. 4^3
64
32
1024
12.50%

26. 13^2
1.41
169
...yields a smaller result (1/2)^2 = 1/4
1296

27. to multiple powers with the same base...
2.23
Add the exponents and keep the base 7^3 x 7^5 = 7^8
40%
289

28. 2^5
32
256
Multiply the exponents 7^2(^3) = 7^6
361

29. Multiples of 12
361
12 - 24 - 36 - 48 - 60 - 72 - 84 - 96 - 108 - 120
1024
You cannot simplify this one

30. 16^2
256
A^2 + 2ab + b^2
196
83.33%

31. Prime Numbers between 1 - 100 (total of 25)
125
{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}
2.449
361

32. 6^5
(a+b)(a^2-ab+b^2)
7776
8
= the cube root of 8 = 2

33. A^2-B^2
5%
(A+B)(A-B)
256
32

34. 6^3
216
(A+B)(A-B)
Subtract the exponents and keep the base the same 4^5/4^2 = 4^3
20%

35. √ 5
2.23
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120
625
324

36. 4^4
(A+B)(A-B)
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120
= the cube root of 8 = 2
256

37. 2/5
40%
512
You cannot simplify this one
196

38. 1/8
A^2 - 2ab + b^2
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120
12.50%
256

39. √ 6
13
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120
2.449
1024

40. √25+16 = √41
87.50%
7776
√25.16 = √25 . √16 = 5.4 - √50 . √18 = √50.18 = √900 = 30 - √144:16 = √144 : √16 = 12/4 = 3
You cannot simplify this one

41. 5/6
...yields a positive result (-1)^2 = 1
32
83.33%
121

42. 17^2
(a+b)(a^2-ab+b^2)
64
361
289

43. 5^3
1024
40%
50%
125

44. 1/4
75%
You cannot simplify this one
25%
243

45. 4^5
(A+B)(A-B)
512
1024
243

46. Multiples of 8
12.50%
40%
8 - 16 - 24 - 32 - 40 - 48 - 56 - 64 - 72 - 80 - 88 - 96 - 104 - 112 - 120
27

47. √ 625
25
625
1.41
You cannot simplify this one

48. √ 4
32
12 - 24 - 36 - 48 - 60 - 72 - 84 - 96 - 108 - 120
2
25%

49. 3^4
32
81
= the square root of 9 = 3
144

50. 2^7
...yields a positive result (-1)^2 = 1
256
2.23
128