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