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