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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. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
Its last two digits are divisible by 4.
The set of output values for a function.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
II
2. To multiply a number by 10^x
41 - 43 - 47
$11 -448
Move the decimal point to the right x places
0
3. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
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
2sqrt6
A circle centered at -2 - -2 with radius 3.
Undefined
4. What is a piecewise equation?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
20.5
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
5. Evaluate (4^3)^2
x^(4+7) = x^11
The two xes after factoring.
1
4096
6. Can the output value of a function have more than one input value?
83.333%
0
Yes. [i.e. f(x) = x^2 - 1
An angle which is supplementary to an interior angle.
7. What is a central angle?
A central angle is an angle formed by 2 radii.
The curve opens downward and the vertex is the maximum point on the graph.
I
2sqrt6
8. What is a set with no members called?
(p + q)/5
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.
A tangent is a line that only touches one point on the circumference of a circle.
The empty set - denoted by a circle with a diagonal through it.
9. What is the 'Range' of a series of numbers?
The greatest value minus the smallest.
(base*height) / 2
The steeper the slope.
12sqrt2
10. What is the ratio of the sides of an isosceles right triangle?
... the square of the ratios of the corresponding sides.
N! / (n-k)!
A = I (1 + rt)
1:1:sqrt2
11. What are 'Supplementary angles?'
Two angles whose sum is 180.
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.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
The two xes after factoring.
12. What number between 70 & 75 - inclusive - has the greatest number of factors?
72
37.5%
From northeast - counterclockwise. I - II - III - IV
Relationship cannot be determined (what if x is negative?)
13. (a^-1)/a^5
x^(2(4)) =x^8 = (x^4)^2
Area of the base X height = (pi)hr^2
1/a^6
The overlapping sections.
14. What is the 'union' of A and B?
The set of elements which can be found in either A or B.
The set of output values for a function.
...multiply by 100.
2^9 / 2 = 256
15. Define a 'Term' -
Members or elements
12.5%
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)
16. Define a 'monomial'
Undefined
83.333%
An expression with just one term (-6x - 2a^2)
1.7
17. What is a subset?
A grouping of the members within a set based on a shared characteristic.
From northeast - counterclockwise. I - II - III - IV
Part = Percent X Whole
All numbers multiples of 1.
18. In a regular polygon with n sides - the formula for the sum of interior angles
(n-2) x 180
4096
The third side is greater than the difference and less than the sum.
C = (pi)d
19. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
500
1/2 times 7/3
Relationship cannot be determined (what if x is negative?)
Two angles whose sum is 90.
20. Order of quadrants:
87.5%
From northeast - counterclockwise. I - II - III - IV
F(x + c)
Members or elements
21. Which is greater? 200x^295 or 10x^294?
A chord is a line segment joining two points on a circle.
Relationship cannot be determined (what if x is negative?)
$3 -500 in the 9% and $2 -500 in the 7%.
Yes. [i.e. f(x) = x^2 - 1
22. Which quadrant is the upper left hand?
Cd
II
The curve opens downward and the vertex is the maximum point on the graph.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
23. Can the input value of a function have more than one output value (i.e. x: y - y1)?
9 : 25
True
No - the input value has exactly one output.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
24. What is the ratio of the sides of a 30-60-90 triangle?
The sum of digits is divisible by 9.
1:sqrt3:2
0
Ax^2 + bx + c where a -b and c are constants and a /=0
25. 4.809 X 10^7 =
.0004809 X 10^11
The curve opens upward and the vertex is the minimal point on the graph.
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^(4+7) = x^11
26. Formula for the area of a sector of a circle?
2^9 / 2 = 256
Sector area = (n/360) X (pi)r^2
180 degrees
2 & 3/7
27. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
71 - 73 - 79
...multiply by 100.
1 & 37/132
28. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
20.5
4.25 - 6 - 22
(amount of increase/original price) x 100%
70
29. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
(a - b)(a + b)
75:11
6
Angle/360 x 2(pi)r
30. What are the irrational numbers?
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183
31. How to find the circumference of a circle which circumscribes a square?
Indeterminable.
y = 2x^2 - 3
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The curve opens upward and the vertex is the minimal point on the graph.
32. (-1)^3 =
1
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
37.5%
Two angles whose sum is 180.
33. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
18
90 degrees
72
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
34. What are the integers?
All numbers multiples of 1.
(n-2) x 180
...multiply by 100.
G(x) = {x}
35. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
72
$3 -500 in the 9% and $2 -500 in the 7%.
Yes - like radicals can be added/subtracted.
Yes. [i.e. f(x) = x^2 - 1
36. Which is greater? 27^(-4) or 9^(-8)
52
N! / (n-k)!
27^(-4)
A reflection about the axis.
37. What is the name for a grouping of the members within a set based on a shared characteristic?
48
A subset.
No - the input value has exactly one output.
From northeast - counterclockwise. I - II - III - IV
38. 2sqrt4 + sqrt4 =
Even
x^(4+7) = x^11
The sum of digits is divisible by 9.
3sqrt4
39. What is the maximum value for the function g(x) = (-2x^2) -1?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
1
12.5%
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
40. What are the rational numbers?
A set with no members - denoted by a circle with a diagonal through it.
A grouping of the members within a set based on a shared characteristic.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
1.0843 X 10^11
41. What is the set of elements which can be found in either A or B?
90
... the square of the ratios of the corresponding sides.
The union of A and B.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
42. 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?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
52
N! / (n-k)!
28. n = 8 - k = 2. n! / k!(n-k)!
43. Find the surface area of a cylinder with radius 3 and height 12.
F(x) - c
Pi is the ratio of a circle'S circumference to its diameter.
The union of A and B.
90pi
44. How to determine percent decrease?
(amount of decrease/original price) x 100%
The interesection of A and B.
55%
75:11
45. How to find the diagonal of a rectangular solid?
10! / 3!(10-3)! = 120
The greatest value minus the smallest.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
An arc is a portion of a circumference of a circle.
46. Volume for a cylinder?
20.5
10! / (10-3)! = 720
Area of the base X height = (pi)hr^2
4725
47. How to find the area of a sector?
x(x - y + 1)
An angle which is supplementary to an interior angle.
9 : 25
Angle/360 x (pi)r^2
48. If the two sides of a triangle are unequal then the longer side...
Lies opposite the greater angle
12sqrt2
6
The interesection of A and B.
49. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
x^(2(4)) =x^8 = (x^4)^2
12! / 5!7! = 792
The direction of the inequality is reversed.
50. What is the 'Restricted domain of a function'?
2 & 3/7
2(pi)r^2 + 2(pi)rh
When the function is not defined for all real numbers -; only a subset of the real numbers.
The set of input values for a function.