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