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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. What is the area of a regular hexagon with side 6?
No - only like radicals can be added.
Its last two digits are divisible by 4.
75:11
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
2. 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
180 degrees
The steeper the slope.
.0004809 X 10^11
3. (x^2)^4
The sum of its digits is divisible by 3.
10
12! / 5!7! = 792
x^(2(4)) =x^8 = (x^4)^2
4. What is the name for a grouping of the members within a set based on a shared characteristic?
(a + b)^2
A subset.
y = (x + 5)/2
2
5. Legs 5 - 12. Hypotenuse?
6
No - only like radicals can be added.
13
II
6. What is the measure of an exterior angle of a regular pentagon?
90 degrees
72
Relationship cannot be determined (what if x is negative?)
(amount of decrease/original price) x 100%
7. 1/6 in percent?
16.6666%
Part = Percent X Whole
y = (x + 5)/2
4096
8. The slope of a line perpendicular to (a/b)?
The interesection of A and B.
(n-2) x 180
6 : 1 : 2
Its negative reciprocal. (-b/a)
9. Is 0 even or odd?
An angle which is supplementary to an interior angle.
Even
Infinite.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
10. Factor a^2 + 2ab + b^2
(a + b)^2
2(pi)r^2 + 2(pi)rh
9 & 6/7
10! / 3!(10-3)! = 120
11. Can the input value of a function have more than one output value (i.e. x: y - y1)?
55%
No - the input value has exactly one output.
$11 -448
20.5
12. Can you simplify sqrt72?
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)
A reflection about the axis.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
The sum of its digits is divisible by 3.
13. The larger the absolute value of the slope...
87.5%
4a^2(b)
6 : 1 : 2
The steeper the slope.
14. 3/8 in percent?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
G(x) = {x}
37.5%
53 - 59
15. What are 'Supplementary angles?'
N! / (k!)(n-k)!
4725
83.333%
Two angles whose sum is 180.
16. 6w^2 - w - 15 = 0
5
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
3/2 - 5/3
288 (8 9 4)
17. What is the percent formula?
1/2 times 7/3
A = I (1 + rt)
(a + b)^2
Part = Percent X Whole
18. 5/6 in percent?
13
83.333%
(a + b)^2
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
19. 50 < all primes< 60
A circle centered at -2 - -2 with radius 3.
441000 = 1 10 10 10 21 * 21
53 - 59
180
20. 1/2 divided by 3/7 is the same as
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
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.
1:1:sqrt2
1/2 times 7/3
21. (-1)^2 =
2(pi)r^2 + 2(pi)rh
1
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.
x^(2(4)) =x^8 = (x^4)^2
22. Find the surface area of a cylinder with radius 3 and height 12.
A set with no members - denoted by a circle with a diagonal through it.
31 - 37
90pi
Two angles whose sum is 90.
23. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
52
Diameter(Pi)
18
IV
24. A number is divisible by 3 if ...
The sum of its digits is divisible by 3.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
An infinite set.
90pi
25. How to find the circumference of a circle which circumscribes a square?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
13pi / 2
413.03 / 10^4 (move the decimal point 4 places to the left)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
26. 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?
0
N! / (k!)(n-k)!
Yes - like radicals can be added/subtracted.
An angle which is supplementary to an interior angle.
27. Which is greater? 200x^295 or 10x^294?
Relationship cannot be determined (what if x is negative?)
...multiply by 100.
1
A circle centered at -2 - -2 with radius 3.
28. Whats the difference between factors and multiples?
Factors are few - multiples are many.
13
5 OR -5
130pi
29. 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?
x(x - y + 1)
2.592 kg
10
.0004809 X 10^11
30. 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?
A central angle is an angle formed by 2 radii.
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
Move the decimal point to the right x places
8
31. The perimeter of a square is 48 inches. The length of its diagonal is:
12sqrt2
The set of input values for a function.
A set with no members - denoted by a circle with a diagonal through it.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
32. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
The interesection of A and B.
The greatest value minus the smallest.
The overlapping sections.
33. Area of a triangle?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Diameter(Pi)
(base*height) / 2
34. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
Lies opposite the greater angle
F(x + c)
A circle centered at -2 - -2 with radius 3.
.0004809 X 10^11
35. What is a minor arc?
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/var/www/html/basicversity.com/show_quiz.php
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183
36. 60 < all primes <70
3
61 - 67
12! / 5!7! = 792
x^(6-3) = x^3
37. To multiply a number by 10^x
72
41 - 43 - 47
Move the decimal point to the right x places
48
38. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
A 30-60-90 triangle.
The empty set - denoted by a circle with a diagonal through it.
The sum of digits is divisible by 9.
500
39. To convert a percent to a fraction....
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
1
Divide by 100.
1 & 37/132
40. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
6
90
1.0843 X 10^11
0
41. 5/8 in percent?
0
1:sqrt3:2
6
62.5%
42. Define a 'Term' -
Lies opposite the greater angle
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)
I
Divide by 100.
43. x^4 + x^7 =
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Move the decimal point to the right x places
(n-2) x 180
x^(4+7) = x^11
44. What is the 'Solution' for a set of inequalities.
The overlapping sections.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
F(x-c)
2(pi)r^2 + 2(pi)rh
45. What is the order of operations?
The set of elements which can be found in either A or B.
72
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The curve opens downward and the vertex is the maximum point on the graph.
46. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
31 - 37
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
No - the input value has exactly one output.
2
47. a^2 + 2ab + b^2
(a + b)^2
(amount of increase/original price) x 100%
28. n = 8 - k = 2. n! / k!(n-k)!
Yes - like radicals can be added/subtracted.
48. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
2^9 / 2 = 256
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
True
70
49. What is the 'Range' of a series of numbers?
The greatest value minus the smallest.
Angle/360 x 2(pi)r
The set of input values for a function.
(a - b)^2
50. (6sqrt3) x (2sqrt5) =
2(pi)r^2 + 2(pi)rh
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The objects within a set.
55%