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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 set of elements which can be found in either A or B?
1
The third side is greater than the difference and less than the sum.
The union of A and B.
4725
2. 0^0
Undefined
288 (8 9 4)
The set of elements which can be found in either A or B.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
3. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
5 OR -5
Infinite.
Its negative reciprocal. (-b/a)
70
4. 1/8 in percent?
12.5%
180
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...
Cd
5. What is a set with no members called?
A = I (1 + rt)
A grouping of the members within a set based on a shared characteristic.
62.5%
The empty set - denoted by a circle with a diagonal through it.
6. Factor a^2 + 2ab + b^2
8
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
A tangent is a line that only touches one point on the circumference of a circle.
(a + b)^2
7. Can the input value of a function have more than one output value (i.e. x: y - y1)?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
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)
No - the input value has exactly one output.
Divide by 100.
8. 8.84 / 5.2
1.7
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The curve opens downward and the vertex is the maximum point on the graph.
9. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
288 (8 9 4)
A reflection about the axis.
48
Move the decimal point to the right x places
10. To convert a percent to a fraction....
0
The steeper the slope.
(base*height) / 2
Divide by 100.
11. Formula to calculate arc length?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
(amount of increase/original price) x 100%
All numbers multiples of 1.
Its negative reciprocal. (-b/a)
12. Whats the difference between factors and multiples?
Factors are few - multiples are many.
61 - 67
From northeast - counterclockwise. I - II - III - IV
500
13. 10^6 has how many zeroes?
6
Members or elements
3sqrt4
23 - 29
14. What does the graph x^2 + y^2 = 64 look like?
27^(-4)
A = pi(r^2)
A circle centered on the origin with radius 8.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
15. 1/2 divided by 3/7 is the same as
Diameter(Pi)
1/2 times 7/3
F(x) - c
0
16. 10<all primes<20
The two xes after factoring.
11 - 13 - 17 - 19
The set of output values for a function.
130pi
17. Define a 'monomial'
The steeper the slope.
An expression with just one term (-6x - 2a^2)
N! / (k!)(n-k)!
413.03 / 10^4 (move the decimal point 4 places to the left)
18. Which is greater? 64^5 or 16^8
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Its negative reciprocal. (-b/a)
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)
19. Legs 6 - 8. Hypotenuse?
(p + q)/5
18
3sqrt4
10
20. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
28. n = 8 - k = 2. n! / k!(n-k)!
2^9 / 2 = 256
1
18
21. x^4 + x^7 =
Triangles with same measure and same side lengths.
The steeper the slope.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
x^(4+7) = x^11
22. 7/8 in percent?
Relationship cannot be determined (what if x is negative?)
20.5
The set of elements which can be found in either A or B.
87.5%
23. Area of a triangle?
(base*height) / 2
5
180 degrees
... the square of the ratios of the corresponding sides.
24. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
441000 = 1 10 10 10 21 * 21
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
(p + q)/5
25. If the two sides of a triangle are unequal then the longer side...
Infinite.
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...
Lies opposite the greater angle
True
26. 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)
12.5%
F(x) - c
4.25 - 6 - 22
500
27. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
N! / (k!)(n-k)!
F(x-c)
500
2
28. What is an exterior angle?
1
An angle which is supplementary to an interior angle.
288 (8 9 4)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
29. The ratio of the areas of two similar polygons is ...
441000 = 1 10 10 10 21 * 21
1:1:sqrt2
... the square of the ratios of the corresponding sides.
1/a^6
30. Which quandrant is the lower right hand?
IV
A tangent is a line that only touches one point on the circumference of a circle.
... the square of the ratios of the corresponding sides.
180
31. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
72
F(x + c)
32. What is the 'Restricted domain of a function'?
(amount of decrease/original price) x 100%
A tangent is a line that only touches one point on the circumference of a circle.
37.5%
When the function is not defined for all real numbers -; only a subset of the real numbers.
33. Legs 5 - 12. Hypotenuse?
13
The objects within a set.
No - the input value has exactly one output.
3
34. A number is divisible by 9 if...
3sqrt4
The sum of digits is divisible by 9.
(a + b)^2
(base*height) / 2
35. 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
A reflection about the origin.
The overlapping sections.
Two angles whose sum is 90.
36. When does a function automatically have a restricted domain (2)?
Move the decimal point to the right x places
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
2sqrt6
y = 2x^2 - 3
37. What are the irrational numbers?
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183
38. (a^-1)/a^5
Even
3
12! / 5!7! = 792
1/a^6
39. Define an 'expression'.
The direction of the inequality is reversed.
48
Triangles with same measure and same side lengths.
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)
40. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
12.5%
2^9 / 2 = 256
The overlapping sections.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
41. What is a major arc?
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183
42. Volume for a cylinder?
The greatest value minus the smallest.
Infinite.
9 & 6/7
Area of the base X height = (pi)hr^2
43. What is the 'union' of A and B?
The set of elements which can be found in either A or B.
1
Part = Percent X Whole
1:sqrt3:2
44. What is the ratio of the sides of an isosceles right triangle?
1:1:sqrt2
1/a^6
Indeterminable.
y = 2x^2 - 3
45. 2sqrt4 + sqrt4 =
3sqrt4
A set with no members - denoted by a circle with a diagonal through it.
N! / (n-k)!
1:sqrt3:2
46. 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.
72
90 degrees
2(pi)r^2 + 2(pi)rh
No - the input value has exactly one output.
47. P and r are factors of 100. What is greater - pr or 100?
3/2 - 5/3
Indeterminable.
A tangent is a line that only touches one point on the circumference of a circle.
180
48. Factor x^2 - xy + x.
x(x - y + 1)
13pi / 2
16.6666%
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
49. Formula to find a circle'S circumference from its diameter?
C = (pi)d
Yes. [i.e. f(x) = x^2 - 1
A circle centered on the origin with radius 8.
3
50. What are 'Supplementary angles?'
Two angles whose sum is 180.
Its negative reciprocal. (-b/a)
y = (x + 5)/2
1/2 times 7/3