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. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
12.5%
4:5
61 - 67
72
2. 25^(1/2) or sqrt. 25 =
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.
Its negative reciprocal. (-b/a)
5 OR -5
From northeast - counterclockwise. I - II - III - IV
3. What are congruent triangles?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
A set with no members - denoted by a circle with a diagonal through it.
Triangles with same measure and same side lengths.
Divide by 100.
4. a^2 - 2ab + b^2
...multiply by 100.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
1
(a - b)^2
5. Define a 'Term' -
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)
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The interesection of A and B.
The longest arc between points A and B on a circle'S diameter.
6. What are the real numbers?
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)
An arc is a portion of a circumference of a circle.
0
4a^2(b)
7. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
28. n = 8 - k = 2. n! / k!(n-k)!
.0004809 X 10^11
3/2 - 5/3
A reflection about the axis.
8. What is the slope of a vertical line?
Warning
: Invalid argument supplied for foreach() in
/var/www/html/basicversity.com/show_quiz.php
on line
183
9. Surface area for a cylinder?
Its divisible by 2 and by 3.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
130pi
2(pi)r^2 + 2(pi)rh
10. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
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)
3
6 : 1 : 2
11. What is the graph of f(x) shifted left c units or spaces?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
The empty set - denoted by a circle with a diagonal through it.
F(x + c)
(a - b)(a + b)
12. Which quadrant is the lower left hand?
1/a^6
I
16.6666%
III
13. 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)^2
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The set of elements found in both A and B.
10! / 3!(10-3)! = 120
14. What is the order of operations?
180
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
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
C = 2(pi)r
15. x^2 = 9. What is the value of x?
90 degrees
3 - -3
Triangles with same measure and same side lengths.
The direction of the inequality is reversed.
16. 70 < all primes< 80
71 - 73 - 79
Area of the base X height = (pi)hr^2
4:5
11 - 13 - 17 - 19
17. How to determine percent decrease?
No - only like radicals can be added.
(amount of decrease/original price) x 100%
$11 -448
Lies opposite the greater angle
18. x^(-y)=
1/(x^y)
y = 2x^2 - 3
Relationship cannot be determined (what if x is negative?)
1
19. 5/6 in percent?
The curve opens downward and the vertex is the maximum point on the graph.
83.333%
F(x) - c
10! / 3!(10-3)! = 120
20. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
4725
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
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.
21. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
4096
2
Angle/360 x (pi)r^2
0
22. Can you add sqrt 3 and sqrt 5?
288 (8 9 4)
No - only like radicals can be added.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
75:11
23. A number is divisible by 4 is...
When the function is not defined for all real numbers -; only a subset of the real numbers.
1:sqrt3:2
Move the decimal point to the right x places
Its last two digits are divisible by 4.
24. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
True
A subset.
9 & 6/7
25. How many 3-digit positive integers are even and do not contain the digit 4?
18
75:11
5 OR -5
288 (8 9 4)
26. Is 0 even or odd?
4096
Even
The set of elements which can be found in either A or B.
4.25 - 6 - 22
27. In a regular polygon with n sides - the formula for the sum of interior angles
2
1
(n-2) x 180
90
28. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
(b + c)
11 - 13 - 17 - 19
Yes - like radicals can be added/subtracted.
8
29. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
Yes. [i.e. f(x) = x^2 - 1
180 degrees
Even
30. (-1)^2 =
A reflection about the axis.
1
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
12! / 5!7! = 792
31. 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)]?
A = pi(r^2)
52
True
4096
32. Simplify the expression [(b^2 - c^2) / (b - c)]
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
4a^2(b)
55%
(b + c)
33. 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
34. What is a tangent?
A tangent is a line that only touches one point on the circumference of a circle.
No - only like radicals can be added.
A circle centered at -2 - -2 with radius 3.
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)
35. What is the 'Solution' for a system of linear equations?
4a^2(b)
Two angles whose sum is 90.
.0004809 X 10^11
The point of intersection of the systems.
36. Whats the difference between factors and multiples?
Factors are few - multiples are many.
10! / (10-3)! = 720
Even
An arc is a portion of a circumference of a circle.
37. Which quadrant is the upper left hand?
The steeper the slope.
Area of the base X height = (pi)hr^2
41 - 43 - 47
II
38. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
The two xes after factoring.
The curve opens upward and the vertex is the minimal point on the graph.
Indeterminable.
2sqrt6
39. 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))?
The longest arc between points A and B on a circle'S diameter.
A grouping of the members within a set based on a shared characteristic.
20.5
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
40. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
13
... the square of the ratios of the corresponding sides.
$11 -448
41. Formula of rectangle where l increases by 20% and w decreases by 20%
4725
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
x= (1.2)(.8)lw
87.5%
42. What percent of 40 is 22?
12.5%
55%
A = I (1 + rt)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
43. What is the 'union' of A and B?
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)
F(x + c)
The set of elements which can be found in either A or B.
Sqrt 12
44. What is a central angle?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Its divisible by 2 and by 3.
A circle centered on the origin with radius 8.
A central angle is an angle formed by 2 radii.
45. What is an exterior angle?
48
180 degrees
Its negative reciprocal. (-b/a)
An angle which is supplementary to an interior angle.
46. 413.03 x 10^(-4) =
413.03 / 10^4 (move the decimal point 4 places to the left)
3 - -3
Angle/360 x (pi)r^2
(amount of decrease/original price) x 100%
47. Legs 5 - 12. Hypotenuse?
(p + q)/5
A reflection about the axis.
13
The objects within a set.
48. What are the roots of the quadrinomial x^2 + 2x + 1?
(a - b)^2
Two angles whose sum is 90.
The set of elements which can be found in either A or B.
The two xes after factoring.
49. Evaluate 4/11 + 11/12
3/2 - 5/3
Cd
1 & 37/132
4.25 - 6 - 22
50. 10<all primes<20
2 & 3/7
IV
A circle centered on the origin with radius 8.
11 - 13 - 17 - 19