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Test your basic knowledge |
GMAT Quick Math And Formulas
Start Test
Study First
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
You cannot simplify this one
1296
512
196
2. 16^2
4
256
81
(a-b)(a^2+ab+b^2)
3. a^3-b^3
(a-b)(a^2+ab+b^2)
243
5%
4
4. 5/6
27
2.23
A^2 + 2ab + b^2
83.33%
5. 3^4
8 - 16 - 24 - 32 - 40 - 48 - 56 - 64 - 72 - 80 - 88 - 96 - 104 - 112 - 120
81
1024
{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}
6. √ 2
1.41
64
= the cube root of 8 = 2
13
7. 1/12
121
625
324
8.33%
8. 17^2
2
289
20%
16
9. a negative number raised to an even power...
...yields a positive result (-1)^2 = 1
13
= the cube root of 8 = 2
1296
10. 12^2
32
144
...yields a negative result (-1)^57 = -1
Take the reciprocal of the base and change the sign of the exponent (2)^-2 = 1^2/2^2 = 1/4
11. to divide powers with the same base...
12.50%
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120
8
Subtract the exponents and keep the base the same 4^5/4^2 = 4^3
12. 1/4
(a+b)(a^2-ab+b^2)
25%
1024
2.449
13. √ 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}
2
256
12.50%
14. 6^4
27
12 - 24 - 36 - 48 - 60 - 72 - 84 - 96 - 108 - 120
1296
144
15. 14^2
87.50%
225
196
121
16. Examples of roots simplification
32
Add the exponents and keep the base 7^3 x 7^5 = 7^8
225
√25.16 = √25 . √16 = 5.4 - √50 . √18 = √50.18 = √900 = 30 - √144:16 = √144 : √16 = 12/4 = 3
17. 1/6
16.66%
16.67%
8.33%
...yields a positive result (-1)^2 = 1
18. 3/4
A^2 - 2ab + b^2
75%
2.449
196
19. 15^2
12 - 24 - 36 - 48 - 60 - 72 - 84 - 96 - 108 - 120
16
225
Multiply the exponents 7^2(^3) = 7^6
20. 4^5
12.50%
...yields a negative result (-1)^57 = -1
1024
87.50%
21. 18^2
12.50%
324
8.33%
A^2 + 2ab + b^2
22. Multiples of 8
2.23
{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}
50%
8 - 16 - 24 - 32 - 40 - 48 - 56 - 64 - 72 - 80 - 88 - 96 - 104 - 112 - 120
23. 2^3
625
(a+b)(a^2-ab+b^2)
8
Take the reciprocal of the base and change the sign of the exponent (2)^-2 = 1^2/2^2 = 1/4
24. 2^2
(A+B)(A-B)
225
4
144
25. Express 9^1/2 as a radical
144
(a+b)(a^2-ab+b^2)
20%
= the square root of 9 = 3
26. a negative number raised to an odd power...
8.33%
75%
128
...yields a negative result (-1)^57 = -1
27. 1/5
8
20%
81
27
28. Prime Numbers between 1 - 100 (total of 25)
256
= the cube root of 8 = 2
625
{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}
29. 1/8
361
2.449
27
12.50%
30. 5^4
625
75%
289
Take the reciprocal of the base and change the sign of the exponent (2)^-2 = 1^2/2^2 = 1/4
31. 2^6
50%
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120
64
(A+B)(A-B)
32. a^3+b^3
7776
(a+b)(a^2-ab+b^2)
...yields a negative result (-1)^57 = -1
256
33. 6^5
7776
1.73
Subtract the exponents and keep the base the same 4^5/4^2 = 4^3
5%
34. 2^5
16.66%
32
625
361
35. √25+16 = √41
225
You cannot simplify this one
512
√25.16 = √25 . √16 = 5.4 - √50 . √18 = √50.18 = √900 = 30 - √144:16 = √144 : √16 = 12/4 = 3
36. 19^2
256
361
125
...yields a smaller result (1/2)^2 = 1/4
37. 11^2
16
324
121
= the square root of 9 = 3
38. Multiples of 15
{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%
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120
16
39. √ 6
40%
16.66%
(a+b)(a^2-ab+b^2)
2.449
40. 5^5
2.23
87.50%
3125
13
41. √ 3
...yields a negative result (-1)^57 = -1
1.73
√25.16 = √25 . √16 = 5.4 - √50 . √18 = √50.18 = √900 = 30 - √144:16 = √144 : √16 = 12/4 = 3
16.67%
42. 2^8
243
Take the reciprocal of the base and change the sign of the exponent (2)^-2 = 1^2/2^2 = 1/4
1024
256
43. to multiple powers (or raise a power to a power)
Multiply the exponents 7^2(^3) = 7^6
4
121
A^2 + 2ab + b^2
44. 7/8
87.50%
20%
75%
8.33%
45. √ 625
25
512
1296
12 - 24 - 36 - 48 - 60 - 72 - 84 - 96 - 108 - 120
46. Multiples of 12
12 - 24 - 36 - 48 - 60 - 72 - 84 - 96 - 108 - 120
...yields a negative result (-1)^57 = -1
(a+b)(a^2-ab+b^2)
25%
47. 2^4
1024
16
25%
A^2 - 2ab + b^2
48. 3^3
4
361
27
2.23
49. what happens when an exponent is negative?
16.66%
Take the reciprocal of the base and change the sign of the exponent (2)^-2 = 1^2/2^2 = 1/4
225
1.41
50. 4^3
...yields a negative result (-1)^57 = -1
5%
64
1296