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 empty set?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
2(pi)r^2 + 2(pi)rh
A set with no members - denoted by a circle with a diagonal through it.
83.333%
2. 6w^2 - w - 15 = 0
Two equal sides and two equal angles.
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)
3/2 - 5/3
4096
3. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
C = (pi)d
52
From northeast - counterclockwise. I - II - III - IV
4. 60 < all primes <70
$3 -500 in the 9% and $2 -500 in the 7%.
4:5
61 - 67
The shortest arc between points A and B on a circle'S diameter.
5. 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?
N! / (k!)(n-k)!
11 - 13 - 17 - 19
A chord is a line segment joining two points on a circle.
F(x + c)
6. How to determine percent increase?
55%
2.592 kg
9 : 25
(amount of increase/original price) x 100%
7. Formula to calculate arc length?
A set with a number of elements which can be counted.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
62.5%
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
8. What is a piecewise equation?
(a - b)^2
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
0
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
9. Formula of rectangle where l increases by 20% and w decreases by 20%
x= (1.2)(.8)lw
N! / (k!)(n-k)!
(a + b)^2
9 & 6/7
10. Simplify the expression (p^2 - q^2)/ -5(q - p)
The set of elements which can be found in either A or B.
(p + q)/5
52
6
11. The ratio of the areas of two similar polygons is ...
N! / (k!)(n-k)!
The sum of its digits is divisible by 3.
... the square of the ratios of the corresponding sides.
The set of input values for a function.
12. What is the formula for computing simple interest?
130pi
10! / (10-3)! = 720
70
A = I (1 + rt)
13. A number is divisible by 4 is...
$3 -500 in the 9% and $2 -500 in the 7%.
Its last two digits are divisible by 4.
8
6
14. Find the surface area of a cylinder with radius 3 and height 12.
The sum of its digits is divisible by 3.
500
90pi
61 - 67
15. 20<all primes<30
Its last two digits are divisible by 4.
A = I (1 + rt)
71 - 73 - 79
23 - 29
16. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
(a + b)^2
$11 -448
0
17. What is the percent formula?
Undefined - because we can'T divide by 0.
x= (1.2)(.8)lw
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
Part = Percent X Whole
18. What is a minor arc?
Warning
: Invalid argument supplied for foreach() in
/var/www/html/basicversity.com/show_quiz.php
on line
183
19. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
9 : 25
6
A 30-60-90 triangle.
The union of A and B.
20. What is the area of a regular hexagon with side 6?
2
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
2(pi)r^2 + 2(pi)rh
An isosceles right triangle.
21. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
A circle centered at -2 - -2 with radius 3.
1:sqrt3:2
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.
1/(x^y)
22. How to determine percent decrease?
A set with a number of elements which can be counted.
(amount of increase/original price) x 100%
Move the decimal point to the right x places
(amount of decrease/original price) x 100%
23. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
9 : 25
16.6666%
An arc is a portion of a circumference of a circle.
2^9 / 2 = 256
24. Can you simplify sqrt72?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
An arc is a portion of a circumference of a circle.
True
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
25. The perimeter of a square is 48 inches. The length of its diagonal is:
(a - b)^2
1
The objects within a set.
12sqrt2
26. 1/2 divided by 3/7 is the same as
441000 = 1 10 10 10 21 * 21
1/2 times 7/3
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
4.25 - 6 - 22
27. Order of quadrants:
Move the decimal point to the right x places
From northeast - counterclockwise. I - II - III - IV
An infinite set.
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)
28. x^6 / x^3
x^(6-3) = x^3
A = pi(r^2)
Lies opposite the greater angle
Pi is the ratio of a circle'S circumference to its diameter.
29. a^2 - b^2
.0004809 X 10^11
(a - b)(a + b)
A reflection about the axis.
9 : 25
30. What is a finite set?
The greatest value minus the smallest.
A = pi(r^2)
A set with a number of elements which can be counted.
71 - 73 - 79
31. Which quadrant is the upper left hand?
Cd
Infinite.
II
1
32. Which quadrant is the lower left hand?
180
...multiply by 100.
The curve opens downward and the vertex is the maximum point on the graph.
III
33. 40 < all primes<50
...multiply by 100.
41 - 43 - 47
3 - -3
The empty set - denoted by a circle with a diagonal through it.
34. 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?
y = (x + 5)/2
10! / (10-3)! = 720
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)
1
35. 5x^2 - 35x -55 = 0
C = (pi)d
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
No - only like radicals can be added.
36. What is the 'domain' of a function?
Area of the base X height = (pi)hr^2
The set of input values for a function.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
1/a^6
37. Length of an arc of a circle?
10! / (10-3)! = 720
6
A 30-60-90 triangle.
Angle/360 x 2(pi)r
38. 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)
62.5%
31 - 37
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
39. What is an exterior angle?
An infinite set.
Relationship cannot be determined (what if x is negative?)
An angle which is supplementary to an interior angle.
70
40. 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
41. What are the smallest three prime numbers greater than 65?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
67 - 71 - 73
A circle centered at -2 - -2 with radius 3.
10! / 3!(10-3)! = 120
42. What is the intersection of A and B?
An expression with just one term (-6x - 2a^2)
Lies opposite the greater angle
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
The set of elements found in both A and B.
43. What is a subset?
An expression with just one term (-6x - 2a^2)
A grouping of the members within a set based on a shared characteristic.
Cd
(a + b)^2
44. Evaluate 4/11 + 11/12
1 & 37/132
The interesection of A and B.
2(pi)r^2 + 2(pi)rh
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...
45. Which is greater? 64^5 or 16^8
Its negative reciprocal. (-b/a)
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The sum of digits is divisible by 9.
46. What are the real numbers?
G(x) = {x}
6 : 1 : 2
Factors are few - multiples are many.
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)
47. To convert a decimal to a percent...
37.5%
...multiply by 100.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
9 & 6/7
48. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
Area of the base X height = (pi)hr^2
2 & 3/7
N! / (n-k)!
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
49. a^2 - b^2 =
x^(6-3) = x^3
Two angles whose sum is 180.
180
(a - b)(a + b)
50. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
13
Two angles whose sum is 180.
3
2.592 kg