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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. Pi is a ratio of what to what?
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2. What is the name for a grouping of the members within a set based on a shared characteristic?
Its divisible by 2 and by 3.
4.25 - 6 - 22
A subset.
70
3. Which is greater? 200x^295 or 10x^294?
41 - 43 - 47
Diameter(Pi)
Relationship cannot be determined (what if x is negative?)
$11 -448
4. What is a set with no members called?
N! / (n-k)!
The empty set - denoted by a circle with a diagonal through it.
A reflection about the origin.
41 - 43 - 47
5. What is the slope of a vertical line?
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6. What is the sum of the angles of a triangle?
The union of A and B.
5
180 degrees
$11 -448
7. What is a parabola?
An isosceles right triangle.
Ax^2 + bx + c where a -b and c are constants and a /=0
13
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
8. Which quandrant is the lower right hand?
IV
A set with a number of elements which can be counted.
27^(-4)
A subset.
9. What is the absolute value function?
G(x) = {x}
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
70
I
10. Can the input value of a function have more than one output value (i.e. x: y - y1)?
No - the input value has exactly one output.
9 & 6/7
The sum of digits is divisible by 9.
x^(2(4)) =x^8 = (x^4)^2
11. sqrt 2(sqrt 6)=
(amount of increase/original price) x 100%
5
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
Sqrt 12
12. What are complementary angles?
N! / (k!)(n-k)!
Infinite.
Two angles whose sum is 90.
12sqrt2
13. How to determine percent decrease?
(amount of decrease/original price) x 100%
53 - 59
Angle/360 x 2(pi)r
The interesection of A and B.
14. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
4:5
A central angle is an angle formed by 2 radii.
(p + q)/5
8
15. Which quadrant is the upper left hand?
Lies opposite the greater angle
II
An expression with just one term (-6x - 2a^2)
Ax^2 + bx + c where a -b and c are constants and a /=0
16. 1/2 divided by 3/7 is the same as
The overlapping sections.
The direction of the inequality is reversed.
1/2 times 7/3
Its last two digits are divisible by 4.
17. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
A circle centered at -2 - -2 with radius 3.
Lies opposite the greater angle
0
Ax^2 + bx + c where a -b and c are constants and a /=0
18. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
(a - b)(a + b)
413.03 / 10^4 (move the decimal point 4 places to the left)
10! / 3!(10-3)! = 120
The empty set - denoted by a circle with a diagonal through it.
19. The larger the absolute value of the slope...
The steeper the slope.
A = I (1 + rt)
From northeast - counterclockwise. I - II - III - IV
Arc length = (n/360) x pi(2r) where n is the number of degrees.
20. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
... the square of the ratios of the corresponding sides.
1
A circle centered at -2 - -2 with radius 3.
18
21. What is an isoceles triangle?
Two equal sides and two equal angles.
F(x-c)
1
A tangent is a line that only touches one point on the circumference of a circle.
22. What is the 'Solution' for a set of inequalities.
The third side is greater than the difference and less than the sum.
28. n = 8 - k = 2. n! / k!(n-k)!
500
The overlapping sections.
23. What is the name of set with a number of elements which cannot be counted?
The curve opens upward and the vertex is the minimal point on the graph.
90pi
72
An infinite set.
24. A number is divisible by 4 is...
Its last two digits are divisible by 4.
4:5
The two xes after factoring.
(a - b)(a + b)
25. (-1)^2 =
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
130pi
1
The two xes after factoring.
26. What is the order of operations?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
3 - -3
The curve opens downward and the vertex is the maximum point on the graph.
27. x^4 + x^7 =
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
The curve opens downward and the vertex is the maximum point on the graph.
x^(4+7) = x^11
F(x) - c
28. How to find the diagonal of a rectangular solid?
Diameter(Pi)
All numbers multiples of 1.
Undefined
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
29. 5/6 in percent?
The sum of its digits is divisible by 3.
83.333%
A set with a number of elements which can be counted.
62.5%
30. 8.84 / 5.2
A chord is a line segment joining two points on a circle.
Infinite.
1.7
Its last two digits are divisible by 4.
31. 70 < all primes< 80
1
When the function is not defined for all real numbers -; only a subset of the real numbers.
All numbers multiples of 1.
71 - 73 - 79
32. 25^(1/2) or sqrt. 25 =
130pi
The sum of its digits is divisible by 3.
3
5 OR -5
33. The slope of a line perpendicular to (a/b)?
1/a^6
Its negative reciprocal. (-b/a)
67 - 71 - 73
A 30-60-90 triangle.
34. (6sqrt3) x (2sqrt5) =
Factors are few - multiples are many.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The empty set - denoted by a circle with a diagonal through it.
G(x) = {x}
35. Which is greater? 64^5 or 16^8
Sector area = (n/360) X (pi)r^2
A set with no members - denoted by a circle with a diagonal through it.
83.333%
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
36. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
2.592 kg
A = pi(r^2)
28. n = 8 - k = 2. n! / k!(n-k)!
1/a^6
37. What is the measure of an exterior angle of a regular pentagon?
72
Members or elements
N! / (n-k)!
A reflection about the axis.
38. a^2 - b^2 =
N! / (n-k)!
(a - b)(a + b)
Triangles with same measure and same side lengths.
Sqrt 12
39. Legs 5 - 12. Hypotenuse?
C = 2(pi)r
13
6 : 1 : 2
The second graph is less steep.
40. What is the surface area of a cylinder with radius 5 and height 8?
The set of output values for a function.
3
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
130pi
41. Legs 6 - 8. Hypotenuse?
87.5%
10
A reflection about the axis.
2^9 / 2 = 256
42. The perimeter of a square is 48 inches. The length of its diagonal is:
A circle centered on the origin with radius 8.
12sqrt2
180 degrees
From northeast - counterclockwise. I - II - III - IV
43. What are the real numbers?
From northeast - counterclockwise. I - II - III - IV
All the numbers on the number line (negative - rational - irrational - decimal - integer). All the numbers on the GRE are real. (-2 - 1 - .25 - 1/2 - pi)
A central angle is an angle formed by 2 radii.
The set of input values for a function.
44. x^6 / x^3
y = 2x^2 - 3
Members or elements
x^(6-3) = x^3
5
45. 3/8 in percent?
37.5%
(a - b)^2
The greatest value minus the smallest.
A reflection about the axis.
46. Max and Min lengths for a side of a triangle?
The third side is greater than the difference and less than the sum.
13pi / 2
Undefined - because we can'T divide by 0.
70
47. If the two sides of a triangle are unequal then the longer side...
Lies opposite the greater angle
Area of the base X height = (pi)hr^2
A subset.
.0004809 X 10^11
48. What are the rational numbers?
180 degrees
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
23 - 29
49. Factor a^2 + 2ab + b^2
(a + b)^2
70
IV
When the function is not defined for all real numbers -; only a subset of the real numbers.
50. What is the 'Range' of a series of numbers?
The greatest value minus the smallest.
The steeper the slope.
0
Two equal sides and two equal angles.