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. What is the percent formula?
Part = Percent X Whole
Two angles whose sum is 180.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The union of A and B.
2. A number is divisible by 4 is...
A tangent is a line that only touches one point on the circumference of a circle.
6
Its last two digits are divisible by 4.
72
3. 40 < all primes<50
4096
41 - 43 - 47
28. n = 8 - k = 2. n! / k!(n-k)!
(base*height) / 2
4. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
90pi
A circle centered on the origin with radius 8.
4725
1
5. Define an 'expression'.
y = (x + 5)/2
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)
x= (1.2)(.8)lw
The curve opens upward and the vertex is the minimal point on the graph.
6. What are the irrational numbers?
Warning
: Invalid argument supplied for foreach() in
/var/www/html/basicversity.com/show_quiz.php
on line
183
7. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
13pi / 2
2^9 / 2 = 256
8. Order of quadrants:
180
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
From northeast - counterclockwise. I - II - III - IV
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
9. Length of an arc of a circle?
The interesection of A and B.
4:5
Angle/360 x 2(pi)r
8
10. Number of degrees in a triangle
F(x) + c
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
180
1/2 times 7/3
11. 5/6 in percent?
An angle which is supplementary to an interior angle.
83.333%
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
From northeast - counterclockwise. I - II - III - IV
12. 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?
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)
An angle which is supplementary to an interior angle.
10! / 3!(10-3)! = 120
1/(x^y)
13. What is the 'union' of A and B?
1 & 37/132
The set of elements which can be found in either A or B.
G(x) = {x}
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...
14. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
5 OR -5
(p + q)/5
x= (1.2)(.8)lw
75:11
15. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
Area of the base X height = (pi)hr^2
8
Angle/360 x 2(pi)r
$3 -500 in the 9% and $2 -500 in the 7%.
16. What is the surface area of a cylinder with radius 5 and height 8?
130pi
All numbers multiples of 1.
67 - 71 - 73
10! / 3!(10-3)! = 120
17. 6w^2 - w - 15 = 0
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)
3/2 - 5/3
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.
1.7
18. How many sides does a hexagon have?
87.5%
6
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
3/2 - 5/3
19. Formula of rectangle where l increases by 20% and w decreases by 20%
x= (1.2)(.8)lw
1:sqrt3:2
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 = I (1 + rt)
20. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
An arc is a portion of a circumference of a circle.
Lies opposite the greater angle
Cd
2
21. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
The curve opens downward and the vertex is the maximum point on the graph.
8
Factors are few - multiples are many.
x^(6-3) = x^3
22. What is the 'Restricted domain of a function'?
The objects within a set.
When the function is not defined for all real numbers -; only a subset of the real numbers.
55%
Triangles with same measure and same side lengths.
23. Describe the relationship between the graphs of x^2 and (1/2)x^2
The point of intersection of the systems.
The second graph is less steep.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
A set with no members - denoted by a circle with a diagonal through it.
24. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
No - only like radicals can be added.
A chord is a line segment joining two points on a circle.
C = 2(pi)r
25. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
(n-2) x 180
A central angle is an angle formed by 2 radii.
48
26. Whats the difference between factors and multiples?
The set of elements which can be found in either A or B.
Factors are few - multiples are many.
An expression with just one term (-6x - 2a^2)
Members or elements
27. How to find the circumference of a circle which circumscribes a square?
1
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
6 : 1 : 2
The set of elements found in both A and B.
28. 50 < all primes< 60
Area of the base X height = (pi)hr^2
20.5
C = 2(pi)r
53 - 59
29. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
28. n = 8 - k = 2. n! / k!(n-k)!
2^9 / 2 = 256
2
30. In a regular polygon with n sides - the formula for the sum of interior angles
Yes. [i.e. f(x) = x^2 - 1
(n-2) x 180
A central angle is an angle formed by 2 radii.
x= (1.2)(.8)lw
31. What is an exterior angle?
An angle which is supplementary to an interior angle.
(b + c)
$11 -448
The curve opens upward and the vertex is the minimal point on the graph.
32. (6sqrt3) x (2sqrt5) =
The union of A and B.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The set of elements found in both A and B.
Its negative reciprocal. (-b/a)
33. Evaluate 4/11 + 11/12
1 & 37/132
10! / 3!(10-3)! = 120
N! / (k!)(n-k)!
From northeast - counterclockwise. I - II - III - IV
34. What is a piecewise equation?
0
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
500
The set of input values for a function.
35. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
87.5%
A tangent is a line that only touches one point on the circumference of a circle.
(base*height) / 2
N! / (n-k)!
36. Is 0 even or odd?
When the function is not defined for all real numbers -; only a subset of the real numbers.
1.7
Even
I
37. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
A reflection about the axis.
(a - b)(a + b)
Triangles with same measure and same side lengths.
1/a^6
38. a^2 + 2ab + b^2
48
Angle/360 x (pi)r^2
(a + b)^2
II
39. Define a 'Term' -
The sum of its digits is divisible by 3.
61 - 67
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)
The second graph is less steep.
40. Which quadrant is the upper right hand?
When the function is not defined for all real numbers -; only a subset of the real numbers.
I
A chord is a line segment joining two points on a circle.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
41. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
... the square of the ratios of the corresponding sides.
The empty set - denoted by a circle with a diagonal through it.
N! / (k!)(n-k)!
413.03 / 10^4 (move the decimal point 4 places to the left)
42. 20<all primes<30
(base*height) / 2
71 - 73 - 79
23 - 29
1
43. Simplify 9^(1/2) X 4^3 X 2^(-6)?
90pi
G(x) = {x}
6
3
44. 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)?
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...
y = (x + 5)/2
The direction of the inequality is reversed.
41 - 43 - 47
45. To multiply a number by 10^x
2(pi)r^2 + 2(pi)rh
Move the decimal point to the right x places
83.333%
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
46. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
$11 -448
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Diameter(Pi)
6
47. Volume for a cylinder?
27^(-4)
Area of the base X height = (pi)hr^2
72
1/2 times 7/3
48. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
6
C = 2(pi)r
3/2 - 5/3
A 30-60-90 triangle.
49. 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.
F(x) - c
Ax^2 + bx + c where a -b and c are constants and a /=0
All numbers multiples of 1.
50. 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))?
2.592 kg
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
5
20.5