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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. Length of an arc of a circle?
Angle/360 x 2(pi)r
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
F(x + c)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
2. x^2 = 9. What is the value of x?
The overlapping sections.
The objects within a set.
3 - -3
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
3. What is the set of elements found in both A and B?
The interesection of A and B.
The third side is greater than the difference and less than the sum.
8
11 - 13 - 17 - 19
4. What is a minor arc?
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5. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
.0004809 X 10^11
1
A 30-60-90 triangle.
3
6. Which is greater? 200x^295 or 10x^294?
2 & 3/7
Factors are few - multiples are many.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Relationship cannot be determined (what if x is negative?)
7. What is an arc of a circle?
An arc is a portion of a circumference of a circle.
Ax^2 + bx + c where a -b and c are constants and a /=0
Two angles whose sum is 180.
2^9 / 2 = 256
8. 1/8 in percent?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
180 degrees
12.5%
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
9. When the 'a' in the parabola is negative...
Its last two digits are divisible by 4.
From northeast - counterclockwise. I - II - III - IV
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The curve opens downward and the vertex is the maximum point on the graph.
10. What is the formula for compounded interest?
The point of intersection of the systems.
55%
288 (8 9 4)
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.
11. Can you subtract 3sqrt4 from sqrt4?
A reflection about the origin.
.0004809 X 10^11
Yes - like radicals can be added/subtracted.
(a + b)^2
12. 7/8 in percent?
Relationship cannot be determined (what if x is negative?)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Yes. [i.e. f(x) = x^2 - 1
87.5%
13. Define an 'expression'.
A subset.
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)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
1/(x^y)
14. What percent of 40 is 22?
F(x-c)
Even
55%
F(x) - c
15. 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?
From northeast - counterclockwise. I - II - III - IV
... the square of the ratios of the corresponding sides.
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.
52
16. 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)
72
4.25 - 6 - 22
12.5%
A 30-60-90 triangle.
17. 70 < all primes< 80
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
G(x) = {x}
x^(2(4)) =x^8 = (x^4)^2
71 - 73 - 79
18. 10^6 has how many zeroes?
F(x-c)
6
IV
1:sqrt3:2
19. What is the graph of f(x) shifted right c units or spaces?
61 - 67
F(x-c)
2^9 / 2 = 256
x= (1.2)(.8)lw
20. What are the rational numbers?
1/2 times 7/3
9 : 25
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
1
21. 8.84 / 5.2
1.7
3sqrt4
27^(-4)
3
22. What is the name of set with a number of elements which cannot be counted?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
3sqrt4
An infinite set.
23. 20<all primes<30
True
The sum of its digits is divisible by 3.
1
23 - 29
24. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
The second graph is less steep.
G(x) = {x}
441000 = 1 10 10 10 21 * 21
A reflection about the axis.
25. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
The shortest arc between points A and B on a circle'S diameter.
90
A 30-60-90 triangle.
20.5
26. (6sqrt3) x (2sqrt5) =
1.7
1/(x^y)
8
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
27. What is the percent formula?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Part = Percent X Whole
(base*height) / 2
28. Factor x^2 - xy + x.
x(x - y + 1)
Angle/360 x (pi)r^2
(a - b)(a + b)
12sqrt2
29. 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?
Lies opposite the greater angle
Two equal sides and two equal angles.
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
61 - 67
30. Formula for the area of a circle?
10! / 3!(10-3)! = 120
The steeper the slope.
A = pi(r^2)
y = (x + 5)/2
31. Describe the relationship between the graphs of x^2 and (1/2)x^2
87.5%
The second graph is less steep.
The third side is greater than the difference and less than the sum.
Ax^2 + bx + c where a -b and c are constants and a /=0
32. Surface area for a cylinder?
441000 = 1 10 10 10 21 * 21
2(pi)r^2 + 2(pi)rh
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
A set with a number of elements which can be counted.
33. Evaluate (4^3)^2
Diameter(Pi)
4096
(a + b)^2
... the square of the ratios of the corresponding sides.
34. Can the input value of a function have more than one output value (i.e. x: y - y1)?
413.03 / 10^4 (move the decimal point 4 places to the left)
2.592 kg
6
No - the input value has exactly one output.
35. What is the 'Solution' for a set of inequalities.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Yes - like radicals can be added/subtracted.
The overlapping sections.
83.333%
36. What is the name for a grouping of the members within a set based on a shared characteristic?
71 - 73 - 79
1/a^6
A subset.
62.5%
37. Define a 'Term' -
2(pi)r^2 + 2(pi)rh
2sqrt6
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)
Infinite.
38. What are the irrational numbers?
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39. How to find the diagonal of a rectangular solid?
441000 = 1 10 10 10 21 * 21
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
(amount of decrease/original price) x 100%
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
40. Simplify the expression [(b^2 - c^2) / (b - c)]
III
Relationship cannot be determined (what if x is negative?)
IV
(b + c)
41. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
.0004809 X 10^11
16.6666%
Undefined
Cd
42. Which is greater? 27^(-4) or 9^(-8)
Ax^2 + bx + c where a -b and c are constants and a /=0
y = (x + 5)/2
27^(-4)
72
43. a^0 =
x^(4+7) = x^11
3
x^(2(4)) =x^8 = (x^4)^2
1
44. To convert a percent to a fraction....
Undefined
The interesection of A and B.
$11 -448
Divide by 100.
45. 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)]?
True
61 - 67
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Yes. [i.e. f(x) = x^2 - 1
46. Circumference of a circle?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
9 & 6/7
Diameter(Pi)
53 - 59
47. The slope of a line perpendicular to (a/b)?
$11 -448
Two angles whose sum is 90.
Its negative reciprocal. (-b/a)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
48. What is a tangent?
Two equal sides and two equal angles.
Angle/360 x 2(pi)r
A tangent is a line that only touches one point on the circumference of a circle.
A circle centered at -2 - -2 with radius 3.
49. Which quandrant is the lower right hand?
2.592 kg
1/2 times 7/3
IV
500
50. What is the 'Restricted domain of a function'?
Even
When the function is not defined for all real numbers -; only a subset of the real numbers.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Factors are few - multiples are many.
Can you answer 50 questions in 15 minutes?
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