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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. x^(-y)=
The sum of its digits is divisible by 3.
x^(4+7) = x^11
12! / 5!7! = 792
1/(x^y)
2. What percent of 40 is 22?
(n-2) x 180
55%
All numbers multiples of 1.
The longest arc between points A and B on a circle'S diameter.
3. How to determine percent decrease?
(a - b)^2
(amount of decrease/original price) x 100%
(n-2) x 180
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
4. Which quandrant is the lower right hand?
90
5
IV
3/2 - 5/3
5. 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.
(base*height) / 2
The set of output values for a function.
(amount of decrease/original price) x 100%
6. What are 'Supplementary angles?'
10! / 3!(10-3)! = 120
Two angles whose sum is 90.
When the function is not defined for all real numbers -; only a subset of the real numbers.
Two angles whose sum is 180.
7. a^2 - b^2 =
(a - b)(a + b)
441000 = 1 10 10 10 21 * 21
(p + q)/5
...multiply by 100.
8. 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.
F(x) + c
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...
An angle which is supplementary to an interior angle.
9. Formula for the area of a sector of a circle?
Sector area = (n/360) X (pi)r^2
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Lies opposite the greater angle
C = (pi)d
10. What does scientific notation mean?
11 - 13 - 17 - 19
The set of input values for a function.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
(p + q)/5
11. What is the 'Solution' for a set of inequalities.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The overlapping sections.
1
72
12. The ratio of the areas of two similar polygons is ...
Arc length = (n/360) x pi(2r) where n is the number of degrees.
x^(4+7) = x^11
.0004809 X 10^11
... the square of the ratios of the corresponding sides.
13. What is the 'domain' of a function?
31 - 37
The overlapping sections.
The set of input values for a function.
The objects within a set.
14. Define a 'Term' -
27^(-4)
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)
The interesection of A and B.
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...
15. What are the roots of the quadrinomial x^2 + 2x + 1?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The two xes after factoring.
Undefined - because we can'T divide by 0.
The set of input values for a function.
16. What is a finite set?
A circle centered at -2 - -2 with radius 3.
413.03 / 10^4 (move the decimal point 4 places to the left)
A set with a number of elements which can be counted.
41 - 43 - 47
17. How to find the area of a sector?
Angle/360 x (pi)r^2
F(x) - c
1
3
18. What is a minor arc?
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19. 70 < all primes< 80
71 - 73 - 79
The second graph is less steep.
A grouping of the members within a set based on a shared characteristic.
Undefined - because we can'T divide by 0.
20. Simplify (a^2 + b)^2 - (a^2 - b)^2
Lies opposite the greater angle
4a^2(b)
The set of output values for a function.
A subset.
21. How to find the circumference of a circle which circumscribes a square?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
A tangent is a line that only touches one point on the circumference of a circle.
A chord is a line segment joining two points on a circle.
3sqrt4
22. Circumference of a circle?
Sqrt 12
Even
Diameter(Pi)
3
23. (-1)^2 =
$11 -448
1
Angle/360 x (pi)r^2
From northeast - counterclockwise. I - II - III - IV
24. Legs: 3 - 4. Hypotenuse?
4096
1
5
53 - 59
25. 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?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
61 - 67
N! / (n-k)!
3/2 - 5/3
26. To convert a percent to a fraction....
70
Triangles with same measure and same side lengths.
The set of elements which can be found in either A or B.
Divide by 100.
27. Describe the relationship between the graphs of x^2 and (1/2)x^2
The second graph is less steep.
12sqrt2
N! / (k!)(n-k)!
6
28. Evaluate (4^3)^2
413.03 / 10^4 (move the decimal point 4 places to the left)
5
31 - 37
4096
29. 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?
48
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Part = Percent X Whole
From northeast - counterclockwise. I - II - III - IV
30. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
70
0
The sum of its digits is divisible by 3.
31. Evaluate 3& 2/7 / 1/3
75:11
6
9 & 6/7
31 - 37
32. Simplify 9^(1/2) X 4^3 X 2^(-6)?
...multiply by 100.
Ax^2 + bx + c where a -b and c are constants and a /=0
Relationship cannot be determined (what if x is negative?)
3
33. (6sqrt3) x (2sqrt5) =
III
$11 -448
(amount of increase/original price) x 100%
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
34. A number is divisible by 6 if...
Undefined - because we can'T divide by 0.
Its divisible by 2 and by 3.
An isosceles right triangle.
A reflection about the origin.
35. Area of a triangle?
(base*height) / 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
Area of the base X height = (pi)hr^2
1 & 37/132
36. Evaluate 4/11 + 11/12
Members or elements
A reflection about the axis.
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)
1 & 37/132
37. What are complementary angles?
Two angles whose sum is 90.
A reflection about the axis.
A circle centered at -2 - -2 with radius 3.
The shortest arc between points A and B on a circle'S diameter.
38. To multiply a number by 10^x
True
130pi
Move the decimal point to the right x places
8
39. What is the maximum value for the function g(x) = (-2x^2) -1?
A reflection about the origin.
6
72
1
40. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2
1
53 - 59
I
41. Formula of rectangle where l increases by 20% and w decreases by 20%
A grouping of the members within a set based on a shared characteristic.
Its divisible by 2 and by 3.
x= (1.2)(.8)lw
6
42. Formula to calculate arc length?
27^(-4)
6 : 1 : 2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Arc length = (n/360) x pi(2r) where n is the number of degrees.
43. (12sqrt15) / (2sqrt5) =
The overlapping sections.
Pi is the ratio of a circle'S circumference to its diameter.
13
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
44. What are the irrational numbers?
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45. 10<all primes<20
72
11 - 13 - 17 - 19
A reflection about the axis.
10
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.
2 & 3/7
An arc is a portion of a circumference of a circle.
x^(4+7) = x^11
47. What are the smallest three prime numbers greater than 65?
N! / (n-k)!
An isosceles right triangle.
1
67 - 71 - 73
48. Define an 'expression'.
180 degrees
No - the input value has exactly one output.
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)
The longest arc between points A and B on a circle'S diameter.
49. When does a function automatically have a restricted domain (2)?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
6
An angle which is supplementary to an interior angle.
50. a^2 - 2ab + b^2
(a - b)^2
3
90 degrees
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