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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. 413.03 x 10^(-4) =
(amount of decrease/original price) x 100%
413.03 / 10^4 (move the decimal point 4 places to the left)
1
N! / (k!)(n-k)!
2. How many sides does a hexagon have?
6
A subset.
From northeast - counterclockwise. I - II - III - IV
A 30-60-90 triangle.
3. What is the 'domain' of a function?
The set of input values for a function.
x^(6-3) = x^3
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Its negative reciprocal. (-b/a)
4. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
48
An expression with just one term (-6x - 2a^2)
The point of intersection of the systems.
True
5. What is the name for a grouping of the members within a set based on a shared characteristic?
A subset.
Sector area = (n/360) X (pi)r^2
(a - b)^2
10! / (10-3)! = 720
6. What number between 70 & 75 - inclusive - has the greatest number of factors?
Sector area = (n/360) X (pi)r^2
x(x - y + 1)
72
F(x) - c
7. How to determine percent increase?
(amount of increase/original price) x 100%
G(x) = {x}
10! / (10-3)! = 720
The direction of the inequality is reversed.
8. What are the rational numbers?
13pi / 2
48
Pi is the ratio of a circle'S circumference to its diameter.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
9. (6sqrt3) x (2sqrt5) =
A = I (1 + rt)
28. n = 8 - k = 2. n! / k!(n-k)!
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
.0004809 X 10^11
10. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
48
Two equal sides and two equal angles.
0
Two angles whose sum is 180.
11. To convert a decimal to a percent...
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The overlapping sections.
A tangent is a line that only touches one point on the circumference of a circle.
...multiply by 100.
12. (-1)^3 =
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
1
Relationship cannot be determined (what if x is negative?)
An isosceles right triangle.
13. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
A 30-60-90 triangle.
55%
70
2.592 kg
14. What is an arc of a circle?
An arc is a portion of a circumference of a circle.
(a - b)^2
True
A = pi(r^2)
15. What is a minor arc?
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183
16. How many multiples does a given number have?
1:sqrt3:2
Infinite.
16.6666%
A 30-60-90 triangle.
17. 1/6 in percent?
16.6666%
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
(base*height) / 2
Triangles with same measure and same side lengths.
18. What is the sum of the angles of a triangle?
83.333%
The set of elements which can be found in either A or B.
F(x-c)
180 degrees
19. What is the measure of an exterior angle of a regular pentagon?
72
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
6 : 1 : 2
27^(-4)
20. What are the irrational numbers?
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21. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
Infinite.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
A reflection about the axis.
y = 2x^2 - 3
22. 1/2 divided by 3/7 is the same as
41 - 43 - 47
1/2 times 7/3
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
All numbers multiples of 1.
23. What percent of 40 is 22?
All numbers multiples of 1.
The shortest arc between points A and B on a circle'S diameter.
55%
0
24. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
The two xes after factoring.
Even
10! / (10-3)! = 720
25. What is a major arc?
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26. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
6 : 1 : 2
Even
N! / (n-k)!
4:5
27. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
9 : 25
2^9 / 2 = 256
... the square of the ratios of the corresponding sides.
The second graph is less steep.
28. How to determine percent decrease?
(amount of decrease/original price) x 100%
An arc is a portion of a circumference of a circle.
The sum of its digits is divisible by 3.
A set with a number of elements which can be counted.
29. A number is divisible by 4 is...
Indeterminable.
(a - b)(a + b)
Its last two digits are divisible by 4.
... the square of the ratios of the corresponding sides.
30. What are 'Supplementary angles?'
N! / (n-k)!
Two angles whose sum is 180.
10
The interesection of A and B.
31. Factor x^2 - xy + x.
III
No - only like radicals can be added.
Infinite.
x(x - y + 1)
32. What is the empty set?
Undefined
Triangles with same measure and same side lengths.
A set with a number of elements which can be counted.
A set with no members - denoted by a circle with a diagonal through it.
33. a^2 + 2ab + b^2
A circle centered on the origin with radius 8.
83.333%
(a + b)^2
A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x - 4x^2 and 2a/c)
34. 3/8 in percent?
37.5%
4725
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.
Divide by 100.
35. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
A tangent is a line that only touches one point on the circumference of a circle.
A chord is a line segment joining two points on a circle.
A central angle is an angle formed by 2 radii.
36. To convert a percent to a fraction....
The set of input values for a function.
Divide by 100.
A chord is a line segment joining two points on a circle.
28. n = 8 - k = 2. n! / k!(n-k)!
37. What are the members or elements of a set?
An infinite set.
Diameter(Pi)
The objects within a set.
A chord is a line segment joining two points on a circle.
38. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
12! / 5!7! = 792
The greatest value minus the smallest.
8
39. 10^6 has how many zeroes?
6
2(pi)r^2 + 2(pi)rh
Indeterminable.
A circle centered on the origin with radius 8.
40. Length of an arc of a circle?
$11 -448
Angle/360 x 2(pi)r
Undefined
A circle centered on the origin with radius 8.
41. Evaluate (4^3)^2
The curve opens upward and the vertex is the minimal point on the graph.
1
4096
F(x) - c
42. Describe the relationship between the graphs of x^2 and (1/2)x^2
The second graph is less steep.
16.6666%
55%
1
43. Which is greater? 64^5 or 16^8
(a + b)^2
Undefined
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Indeterminable.
44. Find the surface area of a cylinder with radius 3 and height 12.
9 : 25
90pi
18
Lies opposite the greater angle
45. 4.809 X 10^7 =
Sqrt 12
83.333%
500
.0004809 X 10^11
46. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
y = (x + 5)/2
Its negative reciprocal. (-b/a)
F(x-c)
28. n = 8 - k = 2. n! / k!(n-k)!
47. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
11 - 13 - 17 - 19
The empty set - denoted by a circle with a diagonal through it.
180
48. What is the area of a regular hexagon with side 6?
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
9 : 25
(a - b)(a + b)
49. a^2 - b^2
(a - b)(a + b)
Pi is the ratio of a circle'S circumference to its diameter.
y = (x + 5)/2
0
50. What is the set of elements found in both A and B?
The interesection of A and B.
The curve opens downward and the vertex is the maximum point on the graph.
2
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)