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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 many sides does a hexagon have?
An arc is a portion of a circumference of a circle.
6
4725
48
2. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
(amount of increase/original price) x 100%
Undefined - because we can'T divide by 0.
True
x^(4+7) = x^11
3. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
3
1
4a^2(b)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
4. Which quadrant is the upper left hand?
The set of elements found in both A and B.
II
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Relationship cannot be determined (what if x is negative?)
5. 30< all primes<40
The two xes after factoring.
31 - 37
(a - b)(a + b)
87.5%
6. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
An expression with just one term (-6x - 2a^2)
2
C = 2(pi)r
The two xes after factoring.
7. Legs 5 - 12. Hypotenuse?
13
180
2sqrt6
Indeterminable.
8. Is 0 even or odd?
F(x-c)
70
Even
An infinite set.
9. What are the roots of the quadrinomial x^2 + 2x + 1?
Triangles with same measure and same side lengths.
The two xes after factoring.
An infinite set.
37.5%
10. What are the real numbers?
27^(-4)
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)
Yes - like radicals can be added/subtracted.
4.25 - 6 - 22
11. Order of quadrants:
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
From northeast - counterclockwise. I - II - III - IV
1/a^6
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)
12. 20<all primes<30
23 - 29
55%
4:5
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
13. What is the measure of an exterior angle of a regular pentagon?
12! / 5!7! = 792
72
Divide by 100.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
14. 2sqrt4 + sqrt4 =
4a^2(b)
Two angles whose sum is 90.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
3sqrt4
15. What is the intersection of A and B?
90pi
The set of elements found in both A and B.
The shortest arc between points A and B on a circle'S diameter.
Diameter(Pi)
16. What are the members or elements of a set?
The objects within a set.
The direction of the inequality is reversed.
x^(6-3) = x^3
.0004809 X 10^11
17. Which quadrant is the upper right hand?
F(x) - c
1/a^6
I
1:1:sqrt2
18. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
4725
90pi
1
75:11
19. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
IV
I
.0004809 X 10^11
20. Define a 'Term' -
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
C = (pi)d
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)
41 - 43 - 47
21. What is the order of operations?
Triangles with same measure and same side lengths.
4725
N! / (k!)(n-k)!
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
22. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
1/2 times 7/3
N! / (n-k)!
A central angle is an angle formed by 2 radii.
The curve opens upward and the vertex is the minimal point on the graph.
23. What is a piecewise equation?
1
71 - 73 - 79
The two xes after factoring.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
24. The perimeter of a square is 48 inches. The length of its diagonal is:
A set with no members - denoted by a circle with a diagonal through it.
1
12sqrt2
.0004809 X 10^11
25. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
13pi / 2
55%
61 - 67
y = 2x^2 - 3
26. Circumference of a circle?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
A tangent is a line that only touches one point on the circumference of a circle.
A grouping of the members within a set based on a shared characteristic.
Diameter(Pi)
27. Formula to calculate arc length?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
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 central angle is an angle formed by 2 radii.
13pi / 2
28. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
2 & 3/7
2
The set of elements found in both A and B.
y = 2x^2 - 3
29. A number is divisible by 6 if...
An isosceles right triangle.
Its divisible by 2 and by 3.
A circle centered on the origin with radius 8.
From northeast - counterclockwise. I - II - III - IV
30. 413.03 x 10^(-4) =
10! / (10-3)! = 720
413.03 / 10^4 (move the decimal point 4 places to the left)
F(x) + c
The empty set - denoted by a circle with a diagonal through it.
31. To convert a decimal to a percent...
62.5%
8
...multiply by 100.
The set of input values for a function.
32. 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
G(x) = {x}
3 - -3
130pi
33. 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?
A reflection about the axis.
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...
y = 2x^2 - 3
1:1:sqrt2
34. Which is greater? 27^(-4) or 9^(-8)
6
1
27^(-4)
1:sqrt3:2
35. 0^0
31 - 37
4a^2(b)
Undefined
3sqrt4
36. What is the area of a regular hexagon with side 6?
48
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
The curve opens downward and the vertex is the maximum point on the graph.
1:1:sqrt2
37. What number between 70 & 75 - inclusive - has the greatest number of factors?
Sector area = (n/360) X (pi)r^2
The point of intersection of the systems.
90 degrees
72
38. 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?
83.333%
13
48
1
39. 6w^2 - w - 15 = 0
0
2
3/2 - 5/3
Indeterminable.
40. (a^-1)/a^5
III
1/2 times 7/3
1/a^6
55%
41. What is an isoceles triangle?
The direction of the inequality is reversed.
(a + b)^2
Two equal sides and two equal angles.
4.25 - 6 - 22
42. Volume for a cylinder?
1
The interesection of A and B.
10! / (10-3)! = 720
Area of the base X height = (pi)hr^2
43. Evaluate 4/11 + 11/12
From northeast - counterclockwise. I - II - III - IV
3
1 & 37/132
A 30-60-90 triangle.
44. a^0 =
3
1
A subset.
83.333%
45. What are 'Supplementary angles?'
When the function is not defined for all real numbers -; only a subset of the real numbers.
11 - 13 - 17 - 19
Two angles whose sum is 180.
The steeper the slope.
46. Which is greater? 64^5 or 16^8
10! / (10-3)! = 720
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Even
Infinite.
47. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
10! / 3!(10-3)! = 120
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
13
Diameter(Pi)
48. 1/8 in percent?
The objects within a set.
12.5%
A = pi(r^2)
Triangles with same measure and same side lengths.
49. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
A reflection about the axis.
1/2 times 7/3
A = I (1 + rt)
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.
50. Formula for the area of a sector of a circle?
Sector area = (n/360) X (pi)r^2
20.5
1/(x^y)
413.03 / 10^4 (move the decimal point 4 places to the left)