SUBJECTS
|
BROWSE
|
CAREER CENTER
|
POPULAR
|
JOIN
|
LOGIN
Business Skills
|
Soft Skills
|
Basic Literacy
|
Certifications
About
|
Help
|
Privacy
|
Terms
|
Email
Search
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. When the 'a' in the parabola is negative...
12! / 5!7! = 792
6 : 1 : 2
The curve opens downward and the vertex is the maximum point on the graph.
2(pi)r^2 + 2(pi)rh
2. What are the members or elements of a set?
y = (x + 5)/2
The direction of the inequality is reversed.
The objects within a set.
The steeper the slope.
3. What is an isoceles triangle?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Two equal sides and two equal angles.
A grouping of the members within a set based on a shared characteristic.
2 & 3/7
4. Legs: 3 - 4. Hypotenuse?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
An expression with just one term (-6x - 2a^2)
10! / 3!(10-3)! = 120
5
5. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
$3 -500 in the 9% and $2 -500 in the 7%.
A reflection about the origin.
A grouping of the members within a set based on a shared characteristic.
130pi
6. Is 0 even or odd?
1
Even
37.5%
10! / 3!(10-3)! = 120
7. If the two sides of a triangle are unequal then the longer side...
Lies opposite the greater angle
Factors are few - multiples are many.
90
The overlapping sections.
8. 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))?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Yes - like radicals can be added/subtracted.
9 & 6/7
20.5
9. sqrt 2(sqrt 6)=
The greatest value minus the smallest.
55%
Sqrt 12
y = 2x^2 - 3
10. A number is divisible by 3 if ...
...multiply by 100.
An algebraic expression is a combination of one of more terms. Terms in an expression are separated by either addition or subtraction signs. (3xy - 4ab - -5cd - x^2 + x - 1)
The sum of its digits is divisible by 3.
A chord is a line segment joining two points on a circle.
11. Can the output value of a function have more than one input value?
31 - 37
Yes. [i.e. f(x) = x^2 - 1
The sum of its digits is divisible by 3.
A set with no members - denoted by a circle with a diagonal through it.
12. Define a 'Term' -
1
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)
12.5%
F(x-c)
13. a^2 + 2ab + b^2
The longest arc between points A and B on a circle'S diameter.
An angle which is supplementary to an interior angle.
(a + b)^2
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
14. Pi is a ratio of what to what?
Warning
: Invalid argument supplied for foreach() in
/var/www/html/basicversity.com/show_quiz.php
on line
183
15. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
x(x - y + 1)
Yes - like radicals can be added/subtracted.
$11 -448
The empty set - denoted by a circle with a diagonal through it.
16. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
4:5
A = I (1 + rt)
53 - 59
17. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
87.5%
y = (x + 5)/2
Yes. [i.e. f(x) = x^2 - 1
C = (pi)d
18. 70 < all primes< 80
71 - 73 - 79
1
An arc is a portion of a circumference of a circle.
IV
19. (-1)^2 =
1
Its negative reciprocal. (-b/a)
87.5%
.0004809 X 10^11
20. What are the rational numbers?
Sqrt 12
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
An infinite set.
N! / (k!)(n-k)!
21. Evaluate (4^3)^2
4096
x^(4+7) = x^11
28. n = 8 - k = 2. n! / k!(n-k)!
4725
22. Area of a triangle?
Pi is the ratio of a circle'S circumference to its diameter.
x^(2(4)) =x^8 = (x^4)^2
1.7
(base*height) / 2
23. What is the graph of f(x) shifted upward c units or spaces?
75:11
F(x) + c
A subset.
F(x) - c
24. Which is greater? 27^(-4) or 9^(-8)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The shortest arc between points A and B on a circle'S diameter.
27^(-4)
y = 2x^2 - 3
25. What is a tangent?
A tangent is a line that only touches one point on the circumference of a circle.
The interesection of A and B.
Ax^2 + bx + c where a -b and c are constants and a /=0
90pi
26. What is the 'union' of A and B?
Two equal sides and two equal angles.
2
F(x + c)
The set of elements which can be found in either A or B.
27. What percent of 40 is 22?
55%
67 - 71 - 73
Move the decimal point to the right x places
18
28. Can you add sqrt 3 and sqrt 5?
A subset.
No - only like radicals can be added.
A central angle is an angle formed by 2 radii.
9 : 25
29. Can you simplify sqrt72?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
2^9 / 2 = 256
10! / 3!(10-3)! = 120
130pi
30. Legs 5 - 12. Hypotenuse?
13
y = (x + 5)/2
From northeast - counterclockwise. I - II - III - IV
48
31. What is the set of elements which can be found in either A or B?
The objects within a set.
1 & 37/132
The union of A and B.
An isosceles right triangle.
32. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
1
Cd
F(x) - c
1.0843 X 10^11
33. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
7 / 1000
6
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
1
34. Factor a^2 + 2ab + b^2
(a + b)^2
Sqrt 12
y = 2x^2 - 3
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
35. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
No - only like radicals can be added.
A reflection about the axis.
441000 = 1 10 10 10 21 * 21
G(x) = {x}
36. How to find the area of a sector?
Pi is the ratio of a circle'S circumference to its diameter.
No - the input value has exactly one output.
Even
Angle/360 x (pi)r^2
37. Circumference of a circle?
(base*height) / 2
8
The sum of its digits is divisible by 3.
Diameter(Pi)
38. What is the area of a regular hexagon with side 6?
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)
(b + c)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
39. Which quadrant is the upper left hand?
55%
II
Diameter(Pi)
A set with no members - denoted by a circle with a diagonal through it.
40. What is a piecewise equation?
Two equal sides and two equal angles.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
F(x + c)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
41. Number of degrees in a triangle
180
6
The two xes after factoring.
The greatest value minus the smallest.
42. a^2 - b^2
12! / 5!7! = 792
(a - b)(a + b)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
x^(2(4)) =x^8 = (x^4)^2
43. What is the formula for compounded interest?
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.
(amount of decrease/original price) x 100%
2.592 kg
Cd
44. What is the 'Range' of a series of numbers?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
18
The greatest value minus the smallest.
Two angles whose sum is 180.
45. A number is divisible by 9 if...
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The sum of digits is divisible by 9.
An algebraic expression is a combination of one of more terms. Terms in an expression are separated by either addition or subtraction signs. (3xy - 4ab - -5cd - x^2 + x - 1)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
46. (a^-1)/a^5
16.6666%
130pi
1/a^6
A reflection about the axis.
47. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
Its divisible by 2 and by 3.
2^9 / 2 = 256
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)
1/a^6
48. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
x^(2(4)) =x^8 = (x^4)^2
48
(a + b)^2
9 : 25
49. What are the roots of the quadrinomial x^2 + 2x + 1?
2
All numbers multiples of 1.
The curve opens downward and the vertex is the maximum point on the graph.
The two xes after factoring.
50. What is a major arc?
Warning
: Invalid argument supplied for foreach() in
/var/www/html/basicversity.com/show_quiz.php
on line
183