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