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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. 12^2
361
144
1024
Take the reciprocal of the base and change the sign of the exponent (2)^-2 = 1^2/2^2 = 1/4
2. 1/20
5%
2.449
A^2 + 2ab + b^2
512
3. √ 2
1.41
16
5%
64
4. to divide powers with the same base...
13
= the cube root of 8 = 2
Subtract the exponents and keep the base the same 4^5/4^2 = 4^3
16
5. 1/8
12.50%
A^2 + 2ab + b^2
87.50%
27
6. 3^4
16.67%
81
196
256
7. 11^2
16.67%
128
27
121
8. 2^2
Multiply the exponents 7^2(^3) = 7^6
256
4
64
9. 2^6
64
1.73
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120
256
10. 19^2
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120
1024
361
128
11. 17^2
16.67%
289
Multiply the exponents 7^2(^3) = 7^6
12.50%
12. 5^3
3125
{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}
1024
125
13. a negative number raised to an odd power...
8.33%
16.67%
...yields a negative result (-1)^57 = -1
1024
14. 1/6
16.67%
1024
128
You cannot simplify this one
15. to multiple powers with the same base...
Add the exponents and keep the base 7^3 x 7^5 = 7^8
4
512
7776
16. Prime Numbers between 1 - 100 (total of 25)
{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}
1024
A^2 + 2ab + b^2
32
17. 5^4
...yields a negative result (-1)^57 = -1
You cannot simplify this one
625
87.50%
18. Simplifying a root
{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}
8
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
19. 16^2
256
81
3125
13
20. 1/4
1296
25
25%
361
21. a negative number raised to an even power...
196
...yields a positive result (-1)^2 = 1
87.50%
= the cube root of 8 = 2
22. √ 4
(a-b)(a^2+ab+b^2)
2.449
(a+b)(a^2-ab+b^2)
2
23. 1/6
40%
2.449
16.66%
{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}
24. √25+16 = √41
You cannot simplify this one
1.73
125
Subtract the exponents and keep the base the same 4^5/4^2 = 4^3
25. a^3+b^3
256
2.23
(a+b)(a^2-ab+b^2)
216
26. √ 6
2.449
225
1296
...yields a positive result (-1)^2 = 1
27. 2^9
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120
512
256
225
28. 15^2
8.33%
1.73
225
625
29. 6^4
40%
25
{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}
1296
30. 2^10
1024
169
1.73
50%
31. 6^5
7776
1024
(a+b)(a^2-ab+b^2)
= the cube root of 8 = 2
32. to multiple powers (or raise a power to a power)
Multiply the exponents 7^2(^3) = 7^6
25
25%
3125
33. Multiples of 8
16.67%
(a+b)(a^2-ab+b^2)
8 - 16 - 24 - 32 - 40 - 48 - 56 - 64 - 72 - 80 - 88 - 96 - 104 - 112 - 120
144
34. 2^3
8
You cannot simplify this one
3125
243
35. 3^5
1.73
243
12 - 24 - 36 - 48 - 60 - 72 - 84 - 96 - 108 - 120
144
36. √ 625
7776
1024
25
...yields a positive result (-1)^2 = 1
37. 2^5
32
= the square root of 9 = 3
50%
324
38. Examples of roots simplification
121
√25.16 = √25 . √16 = 5.4 - √50 . √18 = √50.18 = √900 = 30 - √144:16 = √144 : √16 = 12/4 = 3
75%
256
39. 2^7
128
25%
...yields a positive result (-1)^2 = 1
625
40. √ 5
121
2.23
20%
16.66%
41. 3/4
75%
8
3125
...yields a positive result (-1)^2 = 1
42. 1/5
64
169
20%
324
43. A^2-B^2
64
16.66%
Take the reciprocal of the base and change the sign of the exponent (2)^-2 = 1^2/2^2 = 1/4
(A+B)(A-B)
44. √ 3
128
25%
...yields a positive result (-1)^2 = 1
1.73
45. 2^4
121
196
16
= the cube root of 8 = 2
46. Multiples of 12
289
12 - 24 - 36 - 48 - 60 - 72 - 84 - 96 - 108 - 120
32
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120
47. Express 9^1/2 as a radical
361
243
(A+B)(A-B)
= the square root of 9 = 3
48. 5/6
75%
2.23
25
83.33%
49. 4^4
8 - 16 - 24 - 32 - 40 - 48 - 56 - 64 - 72 - 80 - 88 - 96 - 104 - 112 - 120
15 - 30 - 45 - 60 - 75 - 90 - 105 - 120
Add the exponents and keep the base 7^3 x 7^5 = 7^8
256
50. 5^5
144
(a+b)(a^2-ab+b^2)
16.66%
3125