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. A number is divisible by 4 is...
Two equal sides and two equal angles.
4725
6
Its last two digits are divisible by 4.
2. What is the name of set with a number of elements which cannot be counted?
Indeterminable.
6
An infinite set.
Sector area = (n/360) X (pi)r^2
3. Surface area for a cylinder?
0
2(pi)r^2 + 2(pi)rh
7 / 1000
Two equal sides and two equal angles.
4. 2sqrt4 + sqrt4 =
Undefined - because we can'T divide by 0.
A = I (1 + rt)
3sqrt4
53 - 59
5. 7/8 in percent?
6
0
87.5%
(a + b)^2
6. Max and Min lengths for a side of a triangle?
The set of input values for a function.
62.5%
The third side is greater than the difference and less than the sum.
Indeterminable.
7. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
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 circle centered on the origin with radius 8.
72
Lies opposite the greater angle
8. What is an isoceles triangle?
The set of elements which can be found in either A or B.
$11 -448
Two equal sides and two equal angles.
From northeast - counterclockwise. I - II - III - IV
9. What is a chord of a circle?
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 chord is a line segment joining two points on a circle.
The sum of digits is divisible by 9.
When the function is not defined for all real numbers -; only a subset of the real numbers.
10. (-1)^2 =
No - only like radicals can be added.
1
7 / 1000
41 - 43 - 47
11. Solve the quadratic equation ax^2 + bx + c= 0
9 & 6/7
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
(b + c)
N! / (n-k)!
12. 5/8 in percent?
20.5
62.5%
(p + q)/5
Relationship cannot be determined (what if x is negative?)
13. 5x^2 - 35x -55 = 0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
9 & 6/7
The union of A and B.
All numbers multiples of 1.
14. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
4.25 - 6 - 22
2^9 / 2 = 256
5
4096
15. Reduce: 4.8 : 0.8 : 1.6
1
I
41 - 43 - 47
6 : 1 : 2
16. Can you subtract 3sqrt4 from sqrt4?
Triangles with same measure and same side lengths.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Yes - like radicals can be added/subtracted.
$3 -500 in the 9% and $2 -500 in the 7%.
17. When the 'a' in a parabola is positive....
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
The curve opens upward and the vertex is the minimal point on the graph.
Yes. [i.e. f(x) = x^2 - 1
Relationship cannot be determined (what if x is negative?)
18. 20<all primes<30
All numbers multiples of 1.
23 - 29
Angle/360 x (pi)r^2
x= (1.2)(.8)lw
19. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
A reflection about the origin.
90pi
9 : 25
Two equal sides and two equal angles.
20. Can you simplify sqrt72?
13
G(x) = {x}
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
21. How to find the circumference of a circle which circumscribes a square?
The set of input values for a function.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Part = Percent X Whole
22. Simplify the expression (p^2 - q^2)/ -5(q - p)
(p + q)/5
31 - 37
A set with a number of elements which can be counted.
62.5%
23. 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)?
y = (x + 5)/2
27^(-4)
1:1:sqrt2
F(x) - c
24. The number of degrees in the largest angle of a triangle inscribed in a circle - in which the diameter of the circle is one side of the triangle.
1
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
10! / (10-3)! = 720
90 degrees
25. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
The steeper the slope.
(amount of decrease/original price) x 100%
4:5
67 - 71 - 73
26. Which quadrant is the lower left hand?
III
Infinite.
67 - 71 - 73
90 degrees
27. What is the percent formula?
Two angles whose sum is 180.
Part = Percent X Whole
130pi
180 degrees
28. Legs 6 - 8. Hypotenuse?
6
10
F(x) - c
Its last two digits are divisible by 4.
29. 1/2 divided by 3/7 is the same as
1/2 times 7/3
... the square of the ratios of the corresponding sides.
F(x) + c
18
30. What is an exterior angle?
An angle which is supplementary to an interior angle.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Diameter(Pi)
(a + b)^2
31. Formula to find a circle'S circumference from its radius?
The longest arc between points A and B on a circle'S diameter.
C = 2(pi)r
A tangent is a line that only touches one point on the circumference of a circle.
The set of elements which can be found in either A or B.
32. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
x^(6-3) = x^3
N! / (n-k)!
x^(4+7) = x^11
A circle centered at -2 - -2 with radius 3.
33. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
2^9 / 2 = 256
4096
1/(x^y)
(a - b)(a + b)
34. Is 0 even or odd?
Even
(p + q)/5
The interesection of A and B.
0
35. What is the 'Range' of a function?
The set of output values for a function.
(base*height) / 2
(a + b)^2
An expression with just one term (-6x - 2a^2)
36. Formula of rectangle where l increases by 20% and w decreases by 20%
x= (1.2)(.8)lw
Sqrt 12
A tangent is a line that only touches one point on the circumference of a circle.
G(x) = {x}
37. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
3
(base*height) / 2
An infinite set.
The point of intersection of the systems.
38. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
12! / 5!7! = 792
(a - b)(a + b)
28. n = 8 - k = 2. n! / k!(n-k)!
10
39. If the two sides of a triangle are unequal then the longer side...
Lies opposite the greater angle
52
Part = Percent X Whole
(p + q)/5
40. To multiply a number by 10^x
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Move the decimal point to the right x places
130pi
2sqrt6
41. 8.84 / 5.2
The union of A and B.
1.7
The set of output values for a function.
288 (8 9 4)
42. What is the set of elements found in both A and B?
The interesection of A and B.
F(x-c)
A reflection about the axis.
2^9 / 2 = 256
43. What is the 'domain' of a function?
A set with no members - denoted by a circle with a diagonal through it.
The second graph is less steep.
The set of input values for a function.
The sum of its digits is divisible by 3.
44. What is the 'Range' of a series of numbers?
11 - 13 - 17 - 19
130pi
(a - b)(a + b)
The greatest value minus the smallest.
45. 1/8 in percent?
9 & 6/7
Cd
90pi
12.5%
46. What is the graph of f(x) shifted upward c units or spaces?
90 degrees
(a + b)^2
F(x) + c
Even
47. 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?
10! / (10-3)! = 720
A reflection about the origin.
1
A chord is a line segment joining two points on a circle.
48. What are congruent triangles?
Triangles with same measure and same side lengths.
441000 = 1 10 10 10 21 * 21
3
180 degrees
49. What is the 'Restricted domain of a function'?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
When the function is not defined for all real numbers -; only a subset of the real numbers.
(base*height) / 2
A subset.
50. a^0 =
2.592 kg
A = I (1 + rt)
1
1/(x^y)