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Test your basic knowledge |
GRE Math: Common Errors
Start Test
Study First
Subjects
:
gre
,
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. Volume for a cylinder?
0
Area of the base X height = (pi)hr^2
500
Arc length = (n/360) x pi(2r) where n is the number of degrees.
2. (x^2)^4
6
1:1:sqrt2
x^(2(4)) =x^8 = (x^4)^2
31 - 37
3. What is a parabola?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Ax^2 + bx + c where a -b and c are constants and a /=0
F(x + c)
1/a^6
4. Which quadrant is the upper right hand?
$3 -500 in the 9% and $2 -500 in the 7%.
I
Divide by 100.
53 - 59
5. What is the 'Solution' for a set of inequalities.
72
0
The overlapping sections.
$11 -448
6. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
4a^2(b)
Yes - like radicals can be added/subtracted.
7. a^2 - b^2 =
Yes - like radicals can be added/subtracted.
(a - b)(a + b)
An arc is a portion of a circumference of a circle.
IV
8. What is the maximum value for the function g(x) = (-2x^2) -1?
1
(a - b)(a + b)
0
Members or elements
9. What is the area of a regular hexagon with side 6?
3 - -3
A grouping of the members within a set based on a shared characteristic.
Move the decimal point to the right x places
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
10. Describe the relationship between the graphs of x^2 and (1/2)x^2
No - only like radicals can be added.
(a + b)^2
37.5%
The second graph is less steep.
11. Evaluate 4/11 + 11/12
87.5%
No - the input value has exactly one output.
1 & 37/132
18
12. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
41 - 43 - 47
2.592 kg
A 30-60-90 triangle.
A = I (1 + rt)
13. What is the set of elements which can be found in either A or B?
A circle centered at -2 - -2 with radius 3.
3
The union of A and B.
2^9 / 2 = 256
14. What is the formula for compounded interest?
When the function is not defined for all real numbers -; only a subset of the real numbers.
Its negative reciprocal. (-b/a)
The set of input values for a function.
A= I (1 + (r/c))^tC - where I is the investment - C is the number of times compounded annually - and t is the number of years.
15. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
70
A = I (1 + rt)
6 : 1 : 2
87.5%
16. 0^0
Undefined
y = (x + 5)/2
Angle/360 x 2(pi)r
67 - 71 - 73
17. A number is divisible by 3 if ...
The sum of its digits is divisible by 3.
16.6666%
All numbers multiples of 1.
11 - 13 - 17 - 19
18. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
20.5
13
F(x) + c
2.592 kg
19. 5x^2 - 35x -55 = 0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
...multiply by 100.
1.7
(amount of increase/original price) x 100%
20. 60 < all primes <70
(n-2) x 180
61 - 67
True
48
21. 1/6 in percent?
16.6666%
(amount of decrease/original price) x 100%
Pi is the ratio of a circle'S circumference to its diameter.
9 & 6/7
22. What is a set with no members called?
55%
The empty set - denoted by a circle with a diagonal through it.
Infinite.
(p + q)/5
23. Formula for the area of a circle?
No - the input value has exactly one output.
5 OR -5
Lies opposite the greater angle
A = pi(r^2)
24. 25^(1/2) or sqrt. 25 =
C = 2(pi)r
5 OR -5
0
The set of elements found in both A and B.
25. The objects in a set are called two names:
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
The set of input values for a function.
Members or elements
70
26. Which quadrant is the lower left hand?
III
72
1:sqrt3:2
$11 -448
27. Formula for the area of a sector of a circle?
An isosceles right triangle.
1
Sector area = (n/360) X (pi)r^2
(a + b)^2
28. Formula to calculate arc length?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
(a - b)(a + b)
72
An infinite set.
29. How many sides does a hexagon have?
6
A tangent is a line that only touches one point on the circumference of a circle.
72
Relationship cannot be determined (what if x is negative?)
30. What are the irrational numbers?
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183
31. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
9 & 6/7
2.4. We calculate the area (6) and then turn the triangle on its side and use x as the height to calculate again. (5x)/2=6
A grouping of the members within a set based on a shared characteristic.
F(x-c)
32. 10<all primes<20
Pi is the ratio of a circle'S circumference to its diameter.
11 - 13 - 17 - 19
3 - -3
1.7
33. What is the measure of an exterior angle of a regular pentagon?
True
180 degrees
72
x= (1.2)(.8)lw
34. How to determine percent decrease?
The longest arc between points A and B on a circle'S diameter.
(amount of decrease/original price) x 100%
An arc is a portion of a circumference of a circle.
Two angles whose sum is 180.
35. 50 < all primes< 60
53 - 59
3/2 - 5/3
A tangent is a line that only touches one point on the circumference of a circle.
180
36. Can the input value of a function have more than one output value (i.e. x: y - y1)?
F(x-c)
No - the input value has exactly one output.
3sqrt4
Ax^2 + bx + c where a -b and c are constants and a /=0
37. (-1)^3 =
All numbers multiples of 1.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
A circle centered at -2 - -2 with radius 3.
1
38. Which is greater? 27^(-4) or 9^(-8)
75:11
IV
20.5
27^(-4)
39. 5/6 in percent?
87.5%
83.333%
F(x-c)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
40. How many 3-digit positive integers are even and do not contain the digit 4?
A circle centered at -2 - -2 with radius 3.
Relationship cannot be determined (what if x is negative?)
The point of intersection of the systems.
288 (8 9 4)
41. 10^6 has how many zeroes?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
6
.0004809 X 10^11
11 - 13 - 17 - 19
42. 1/2 divided by 3/7 is the same as
Divide by 100.
Yes - like radicals can be added/subtracted.
Undefined
1/2 times 7/3
43. What is the name for a grouping of the members within a set based on a shared characteristic?
A subset.
The interesection of A and B.
The union of A and B.
2sqrt6
44. Formula to find a circle'S circumference from its diameter?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
C = (pi)d
1.0843 X 10^11
A reflection about the axis.
45. Which quadrant is the upper left hand?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The steeper the slope.
II
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
46. What is a subset?
Cd
A grouping of the members within a set based on a shared characteristic.
G(x) = {x}
No - only like radicals can be added.
47. 7/8 in percent?
72
87.5%
53 - 59
12.5%
48. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
A circle centered on the origin with radius 8.
A tangent is a line that only touches one point on the circumference of a circle.
The shortest arc between points A and B on a circle'S diameter.
49. A number is divisible by 6 if...
1
No - only like radicals can be added.
Its divisible by 2 and by 3.
90pi
50. What are complementary angles?
3
41 - 43 - 47
II
Two angles whose sum is 90.