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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. How to determine percent decrease?
Two angles whose sum is 180.
$11 -448
2^9 / 2 = 256
(amount of decrease/original price) x 100%
2. What is the name for a grouping of the members within a set based on a shared characteristic?
y = (x + 5)/2
A subset.
A 30-60-90 triangle.
4096
3. 0^0
Undefined
3 - -3
$11 -448
9 & 6/7
4. What is the set of elements which can be found in either A or B?
The union of A and B.
A set with no members - denoted by a circle with a diagonal through it.
(a - b)(a + b)
Indeterminable.
5. What is an arc of a circle?
An isosceles right triangle.
A 30-60-90 triangle.
An arc is a portion of a circumference of a circle.
288 (8 9 4)
6. What is the measure of an exterior angle of a regular pentagon?
No - only like radicals can be added.
72
1/(x^y)
x^(2(4)) =x^8 = (x^4)^2
7. 8.84 / 5.2
N! / (n-k)!
1.7
27^(-4)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
8. 2sqrt4 + sqrt4 =
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
4:5
3 - -3
3sqrt4
9. What is the side length of an equilateral triangle with altitude 6?
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...
I
(amount of increase/original price) x 100%
2.592 kg
10. A number is divisible by 9 if...
12sqrt2
The sum of digits is divisible by 9.
N! / (k!)(n-k)!
(amount of decrease/original price) x 100%
11. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
9 & 6/7
1
A tangent is a line that only touches one point on the circumference of a circle.
A circle centered on the origin with radius 8.
12. (12sqrt15) / (2sqrt5) =
III
90pi
$3 -500 in the 9% and $2 -500 in the 7%.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
13. 1/2 divided by 3/7 is the same as
1/2 times 7/3
0
Sqrt 12
Yes - like radicals can be added/subtracted.
14. What is the 'union' of A and B?
The set of elements which can be found in either A or B.
(a - b)^2
C = 2(pi)r
Arc length = (n/360) x pi(2r) where n is the number of degrees.
15. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
The sum of digits is divisible by 9.
A central angle is an angle formed by 2 radii.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
16. 1/6 in percent?
.0004809 X 10^11
16.6666%
A chord is a line segment joining two points on a circle.
Factors are few - multiples are many.
17. 413.03 x 10^(-4) =
413.03 / 10^4 (move the decimal point 4 places to the left)
The overlapping sections.
1/a^6
A circle centered on the origin with radius 8.
18. 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?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
(base*height) / 2
Pi is the ratio of a circle'S circumference to its diameter.
75:11
19. Which quadrant is the upper left hand?
52
90pi
10! / (10-3)! = 720
II
20. Which is greater? 27^(-4) or 9^(-8)
27^(-4)
.0004809 X 10^11
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...
11 - 13 - 17 - 19
21. The larger the absolute value of the slope...
...multiply by 100.
The steeper the slope.
2(pi)r^2 + 2(pi)rh
4.25 - 6 - 22
22. Formula to find a circle'S circumference from its diameter?
C = (pi)d
18
From northeast - counterclockwise. I - II - III - IV
G(x) = {x}
23. What is the 'Range' of a function?
A chord is a line segment joining two points on a circle.
IV
The set of output values for a function.
10! / 3!(10-3)! = 120
24. Is 0 even or odd?
18
Even
The set of elements which can be found in either A or B.
1
25. 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))?
8
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
20.5
Two equal sides and two equal angles.
26. 70 < all primes< 80
71 - 73 - 79
0
The overlapping sections.
No - the input value has exactly one output.
27. 30< all primes<40
(a - b)(a + b)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
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
31 - 37
28. sqrt 2(sqrt 6)=
F(x-c)
Sqrt 12
The overlapping sections.
2(pi)r^2 + 2(pi)rh
29. Pi is a ratio of what to what?
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/var/www/html/basicversity.com/show_quiz.php
on line
183
30. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
12! / 5!7! = 792
Two angles whose sum is 180.
The curve opens upward and the vertex is the minimal point on the graph.
(base*height) / 2
31. Which quadrant is the lower left hand?
12! / 5!7! = 792
0
y = 2x^2 - 3
III
32. Write 10 -843 X 10^7 in scientific notation
12sqrt2
The sum of its digits is divisible by 3.
1
1.0843 X 10^11
33. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
70
90
Cd
Angle/360 x (pi)r^2
34. Number of degrees in a triangle
72
180
G(x) = {x}
I
35. What is the slope of a horizontal line?
Diameter(Pi)
A subset.
The curve opens downward and the vertex is the maximum point on the graph.
0
36. Which is greater? 64^5 or 16^8
16.6666%
Sector area = (n/360) X (pi)r^2
The interesection of A and B.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
37. What are the integers?
(amount of increase/original price) x 100%
The set of elements found in both A and B.
All numbers multiples of 1.
F(x + c)
38. 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?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
A set with no members - denoted by a circle with a diagonal through it.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
2.592 kg
39. What are the smallest three prime numbers greater than 65?
x^(2(4)) =x^8 = (x^4)^2
The two xes after factoring.
x^(6-3) = x^3
67 - 71 - 73
40. 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?
1:sqrt3:2
52
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 reflection about the axis.
41. What are complementary angles?
Its divisible by 2 and by 3.
3 - -3
11 - 13 - 17 - 19
Two angles whose sum is 90.
42. 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
288 (8 9 4)
9 : 25
A reflection about the origin.
43. Formula of rectangle where l increases by 20% and w decreases by 20%
x= (1.2)(.8)lw
II
The point of intersection of the systems.
3
44. How to determine percent increase?
The shortest arc between points A and B on a circle'S diameter.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
(amount of increase/original price) x 100%
413.03 / 10^4 (move the decimal point 4 places to the left)
45. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
2^9 / 2 = 256
2.592 kg
(n-2) x 180
90 degrees
46. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
4096
48
y = 2x^2 - 3
A subset.
47. What does scientific notation mean?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Divide by 100.
A set with a number of elements which can be counted.
16.6666%
48. (-1)^2 =
6
71 - 73 - 79
1
The curve opens upward and the vertex is the minimal point on the graph.
49. Which is greater? 200x^295 or 10x^294?
.0004809 X 10^11
Relationship cannot be determined (what if x is negative?)
3 - -3
Move the decimal point to the right x places
50. What is the percent formula?
52
Part = Percent X Whole
413.03 / 10^4 (move the decimal point 4 places to the left)
No - only like radicals can be added.