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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. 8.84 / 5.2
F(x + c)
1.7
10! / (10-3)! = 720
...multiply by 100.
2. What is the percent formula?
Part = Percent X Whole
(amount of decrease/original price) x 100%
(base*height) / 2
11 - 13 - 17 - 19
3. 10^6 has how many zeroes?
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)
Relationship cannot be determined (what if x is negative?)
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
4. Evaluate 4/11 + 11/12
1 & 37/132
y = (x + 5)/2
1
1
5. 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))?
10! / (10-3)! = 720
A reflection about the origin.
N! / (n-k)!
20.5
6. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The greatest value minus the smallest.
1/(x^y)
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
7. What is a subset?
90pi
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)
130pi
A grouping of the members within a set based on a shared characteristic.
8. 50 < all primes< 60
No - only like radicals can be added.
4a^2(b)
53 - 59
71 - 73 - 79
9. What is the set of elements which can be found in either A or B?
The direction of the inequality is reversed.
(a + b)^2
The union of A and B.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
10. 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.
1.7
90 degrees
A set with no members - denoted by a circle with a diagonal through it.
2^9 / 2 = 256
11. 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?
Ax^2 + bx + c where a -b and c are constants and a /=0
52
The two xes after factoring.
Members or elements
12. Pi is a ratio of what to what?
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183
13. (a^-1)/a^5
12.5%
1/a^6
Indeterminable.
The curve opens upward and the vertex is the minimal point on the graph.
14. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
2 & 3/7
4.25 - 6 - 22
y = (x + 5)/2
15. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
75:11
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The third side is greater than the difference and less than the sum.
2^9 / 2 = 256
16. 5/8 in percent?
62.5%
$11 -448
2^9 / 2 = 256
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
17. What is an exterior angle?
An angle which is supplementary to an interior angle.
(a - b)(a + b)
87.5%
12sqrt2
18. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
(p + q)/5
The objects within a set.
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)
90
19. What is a major arc?
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20. How to find the circumference of a circle which circumscribes a square?
Members or elements
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The set of output values for a function.
21. Can you subtract 3sqrt4 from sqrt4?
Angle/360 x (pi)r^2
Yes - like radicals can be added/subtracted.
48
3 - -3
22. Circumference of a circle?
Diameter(Pi)
31 - 37
Yes. [i.e. f(x) = x^2 - 1
2^9 / 2 = 256
23. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Triangles with same measure and same side lengths.
A reflection about the origin.
24. Which quandrant is the lower right hand?
1.0843 X 10^11
No - only like radicals can be added.
28. n = 8 - k = 2. n! / k!(n-k)!
IV
25. Which quadrant is the upper left hand?
1
288 (8 9 4)
II
C = 2(pi)r
26. What is the intersection of A and B?
The set of elements found in both A and B.
Angle/360 x 2(pi)r
The direction of the inequality is reversed.
Two equal sides and two equal angles.
27. The slope of a line perpendicular to (a/b)?
3 - -3
Its negative reciprocal. (-b/a)
A chord is a line segment joining two points on a circle.
All numbers multiples of 1.
28. What is the name for a grouping of the members within a set based on a shared characteristic?
An infinite set.
4.25 - 6 - 22
A subset.
The interesection of A and B.
29. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
3
Part = Percent X Whole
3 - -3
30. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
Yes. [i.e. f(x) = x^2 - 1
2(pi)r^2 + 2(pi)rh
Two angles whose sum is 90.
31. When does a function automatically have a restricted domain (2)?
Angle/360 x (pi)r^2
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Two equal sides and two equal angles.
The empty set - denoted by a circle with a diagonal through it.
32. What is a parabola?
Ax^2 + bx + c where a -b and c are constants and a /=0
Sector area = (n/360) X (pi)r^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
I
33. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
28. n = 8 - k = 2. n! / k!(n-k)!
y = 2x^2 - 3
Its last two digits are divisible by 4.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
34. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
A reflection about the axis.
72
A set with no members - denoted by a circle with a diagonal through it.
1/(x^y)
35. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
12sqrt2
A reflection about the origin.
Its divisible by 2 and by 3.
Lies opposite the greater angle
36. How to find the diagonal of a rectangular solid?
1/(x^y)
53 - 59
83.333%
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
37. Formula to find a circle'S circumference from its diameter?
An arc is a portion of a circumference of a circle.
(p + q)/5
Arc length = (n/360) x pi(2r) where n is the number of degrees.
C = (pi)d
38. 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)?
From northeast - counterclockwise. I - II - III - IV
y = (x + 5)/2
70
The set of input values for a function.
39. A number is divisible by 3 if ...
6
Its negative reciprocal. (-b/a)
The sum of its digits is divisible by 3.
16.6666%
40. How many sides does a hexagon have?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
When the function is not defined for all real numbers -; only a subset of the real numbers.
6
A reflection about the origin.
41. What are congruent triangles?
A reflection about the axis.
41 - 43 - 47
Triangles with same measure and same side lengths.
Lies opposite the greater angle
42. Evaluate 3& 2/7 / 1/3
87.5%
IV
(amount of increase/original price) x 100%
9 & 6/7
43. 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?
N! / (n-k)!
11 - 13 - 17 - 19
1
The greatest value minus the smallest.
44. What is the graph of f(x) shifted right c units or spaces?
9 : 25
F(x-c)
Two angles whose sum is 180.
2 & 3/7
45. a^2 - 2ab + b^2
62.5%
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
(a - b)^2
4a^2(b)
46. Can the input value of a function have more than one output value (i.e. x: y - y1)?
No - the input value has exactly one output.
An expression with just one term (-6x - 2a^2)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
3sqrt4
47. Formula for the area of a circle?
48
Its negative reciprocal. (-b/a)
A = pi(r^2)
87.5%
48. What is a central angle?
2.592 kg
A grouping of the members within a set based on a shared characteristic.
A central angle is an angle formed by 2 radii.
The set of output values for a function.
49. What is the maximum value for the function g(x) = (-2x^2) -1?
The set of input values for a function.
1
Divide by 100.
All numbers multiples of 1.
50. How to determine percent increase?
288 (8 9 4)
All numbers multiples of 1.
27^(-4)
(amount of increase/original price) x 100%