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