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. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
4.25 - 6 - 22
0
G(x) = {x}
2. What does the graph x^2 + y^2 = 64 look like?
Two angles whose sum is 90.
F(x + c)
F(x-c)
A circle centered on the origin with radius 8.
3. What is the set of elements found in both A and B?
4a^2(b)
The interesection of A and B.
75:11
90 degrees
4. The slope of a line perpendicular to (a/b)?
61 - 67
1
Its negative reciprocal. (-b/a)
1/a^6
5. 50 < all primes< 60
... the square of the ratios of the corresponding sides.
67 - 71 - 73
53 - 59
Its negative reciprocal. (-b/a)
6. What are the integers?
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
41 - 43 - 47
All numbers multiples of 1.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
7. P and r are factors of 100. What is greater - pr or 100?
A 30-60-90 triangle.
2(pi)r^2 + 2(pi)rh
16.6666%
Indeterminable.
8. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
1
Two angles whose sum is 180.
52
9. To convert a percent to a fraction....
The shortest arc between points A and B on a circle'S diameter.
Sector area = (n/360) X (pi)r^2
Divide by 100.
...multiply by 100.
10. How to find the diagonal of a rectangular solid?
II
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
A grouping of the members within a set based on a shared characteristic.
13
11. Can you subtract 3sqrt4 from sqrt4?
A = I (1 + rt)
1
Yes - like radicals can be added/subtracted.
The longest arc between points A and B on a circle'S diameter.
12. What are the members or elements of a set?
6
0
y = (x + 5)/2
The objects within a set.
13. 10<all primes<20
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)
441000 = 1 10 10 10 21 * 21
The steeper the slope.
11 - 13 - 17 - 19
14. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
6
9 : 25
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
2^9 / 2 = 256
15. a^2 + 2ab + b^2
1
(a + b)^2
6
61 - 67
16. How to determine percent decrease?
1/(x^y)
(amount of decrease/original price) x 100%
Yes - like radicals can be added/subtracted.
(a - b)^2
17. What is the ratio of the sides of an isosceles right triangle?
A central angle is an angle formed by 2 radii.
1:1:sqrt2
0
The empty set - denoted by a circle with a diagonal through it.
18. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
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)
$11 -448
288 (8 9 4)
III
19. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1
52
A grouping of the members within a set based on a shared characteristic.
8
20. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
1
The interesection of A and B.
I
21. What is the slope of a vertical line?
22. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
III
x^(4+7) = x^11
y = 2x^2 - 3
90pi
23. sqrt 2(sqrt 6)=
27^(-4)
Sqrt 12
(b + c)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
24. 5/6 in percent?
The set of elements which can be found in either A or B.
83.333%
Two angles whose sum is 180.
(b + c)
25. What is a subset?
A grouping of the members within a set based on a shared characteristic.
Two equal sides and two equal angles.
A set with no members - denoted by a circle with a diagonal through it.
Its last two digits are divisible by 4.
26. (a^-1)/a^5
41 - 43 - 47
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
1/a^6
A subset.
27. What is a major arc?
28. How many multiples does a given number have?
Infinite.
4096
An arc is a portion of a circumference of a circle.
12sqrt2
29. What is the 'Solution' for a system of linear equations?
1/2 times 7/3
The point of intersection of the systems.
The set of elements found in both A and B.
Indeterminable.
30. Pi is a ratio of what to what?
31. 25^(1/2) or sqrt. 25 =
5 OR -5
4:5
(a + b)^2
Members or elements
32. 70 < all primes< 80
2sqrt6
71 - 73 - 79
2 & 3/7
Angle/360 x 2(pi)r
33. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
52
8
Its negative reciprocal. (-b/a)
1/2 times 7/3
34. What is the formula for compounded interest?
28. n = 8 - k = 2. n! / k!(n-k)!
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.
12sqrt2
1
35. What is the graph of f(x) shifted upward c units or spaces?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
F(x) + c
The set of elements which can be found in either A or B.
90pi
36. 1/2 divided by 3/7 is the same as
A central angle is an angle formed by 2 radii.
1/2 times 7/3
16.6666%
Its divisible by 2 and by 3.
37. Define an 'expression'.
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)
C = (pi)d
An isosceles right triangle.
288 (8 9 4)
38. Is 0 even or odd?
55%
A = I (1 + rt)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Even
39. Can you add sqrt 3 and sqrt 5?
130pi
No - only like radicals can be added.
2.592 kg
(amount of decrease/original price) x 100%
40. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
1
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)
41. Formula to find a circle'S circumference from its radius?
The two xes after factoring.
Infinite.
C = 2(pi)r
Its divisible by 2 and by 3.
42. 30< all primes<40
4.25 - 6 - 22
75:11
31 - 37
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
43. What percent of 40 is 22?
55%
3sqrt4
61 - 67
Sqrt 12
44. Surface area for a cylinder?
F(x) - c
2(pi)r^2 + 2(pi)rh
Two equal sides and two equal angles.
Area of the base X height = (pi)hr^2
45. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
(amount of decrease/original price) x 100%
Two equal sides and two equal angles.
6
12! / 5!7! = 792
46. When does a function automatically have a restricted domain (2)?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
10! / 3!(10-3)! = 120
72
F(x-c)
47. Define a 'monomial'
1
An expression with just one term (-6x - 2a^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)
6 : 1 : 2
48. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
Its divisible by 2 and by 3.
y = (x + 5)/2
1
A circle centered at -2 - -2 with radius 3.
49. Can you simplify sqrt72?
Diameter(Pi)
7 / 1000
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
The set of elements which can be found in either A or B.
50. Formula to calculate arc length?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The third side is greater than the difference and less than the sum.
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...
9 & 6/7