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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. 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
83.333%
All numbers multiples of 1.
The shortest arc between points A and B on a circle'S diameter.
18
2. Evaluate (4^3)^2
The longest arc between points A and B on a circle'S diameter.
4096
9 & 6/7
An isosceles right triangle.
3. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
The longest arc between points A and B on a circle'S diameter.
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...
y = (x + 5)/2
8
4. In a regular polygon with n sides - the formula for the sum of interior angles
(n-2) x 180
12.5%
3 - -3
1
5. What number between 70 & 75 - inclusive - has the greatest number of factors?
180 degrees
.0004809 X 10^11
x(x - y + 1)
72
6. What is the percent formula?
48
Part = Percent X Whole
The longest arc between points A and B on a circle'S diameter.
No - only like radicals can be added.
7. Formula to find a circle'S circumference from its diameter?
(n-2) x 180
A set with a number of elements which can be counted.
C = (pi)d
1
8. How to determine percent increase?
(amount of increase/original price) x 100%
The overlapping sections.
10
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
9. What is the order of operations?
A reflection about the origin.
A = pi(r^2)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
1
10. What is a piecewise equation?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
Angle/360 x 2(pi)r
(base*height) / 2
(b + c)
11. 8.84 / 5.2
90pi
1.7
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)
Two equal sides and two equal angles.
12. Order of quadrants:
1/(x^y)
1
From northeast - counterclockwise. I - II - III - IV
1/a^6
13. What is the intersection of A and B?
Undefined
The set of elements found in both A and B.
(amount of decrease/original price) x 100%
The set of elements which can be found in either A or B.
14. What is a minor arc?
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15. What is the empty set?
37.5%
A set with no members - denoted by a circle with a diagonal through it.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
The set of output values for a function.
16. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
G(x) = {x}
The union of A and B.
5 OR -5
17. What is a major arc?
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18. 4.809 X 10^7 =
.0004809 X 10^11
9 : 25
$11 -448
(a + b)^2
19. 2sqrt4 + sqrt4 =
3sqrt4
37.5%
52
87.5%
20. What is the name for a grouping of the members within a set based on a shared characteristic?
7 / 1000
A subset.
9 & 6/7
The union of A and B.
21. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
2 & 3/7
20.5
3
The steeper the slope.
22. 50 < all primes< 60
The third side is greater than the difference and less than the sum.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
$3 -500 in the 9% and $2 -500 in the 7%.
53 - 59
23. When the 'a' in a parabola is positive....
The objects within a set.
The union of A and B.
Undefined - because we can'T divide by 0.
The curve opens upward and the vertex is the minimal point on the graph.
24. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
(amount of decrease/original price) x 100%
Two angles whose sum is 180.
Diameter(Pi)
25. Factor a^2 + 2ab + b^2
From northeast - counterclockwise. I - II - III - IV
(a + b)^2
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
The steeper the slope.
26. (a^-1)/a^5
1
... the square of the ratios of the corresponding sides.
The sum of its digits is divisible by 3.
1/a^6
27. P and r are factors of 100. What is greater - pr or 100?
x(x - y + 1)
A reflection about the axis.
3 - -3
Indeterminable.
28. Which is greater? 27^(-4) or 9^(-8)
2
The set of input values for a function.
(base*height) / 2
27^(-4)
29. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
61 - 67
12! / 5!7! = 792
67 - 71 - 73
Two angles whose sum is 180.
30. Formula of rectangle where l increases by 20% and w decreases by 20%
6 : 1 : 2
5 OR -5
x= (1.2)(.8)lw
Undefined
31. Max and Min lengths for a side of a triangle?
Angle/360 x (pi)r^2
9 : 25
The third side is greater than the difference and less than the sum.
x(x - y + 1)
32. 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?
... the square of the ratios of the corresponding sides.
Ax^2 + bx + c where a -b and c are constants and a /=0
8
$3 -500 in the 9% and $2 -500 in the 7%.
33. Formula for the area of a sector of a circle?
x^(2(4)) =x^8 = (x^4)^2
Sector area = (n/360) X (pi)r^2
Angle/360 x 2(pi)r
A = I (1 + rt)
34. Which is greater? 200x^295 or 10x^294?
13
Indeterminable.
2^9 / 2 = 256
Relationship cannot be determined (what if x is negative?)
35. What are the rational numbers?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
N! / (n-k)!
y = 2x^2 - 3
A central angle is an angle formed by 2 radii.
36. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
x(x - y + 1)
28. n = 8 - k = 2. n! / k!(n-k)!
When the function is not defined for all real numbers -; only a subset of the real numbers.
The curve opens upward and the vertex is the minimal point on the graph.
37. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
The point of intersection of the systems.
A circle centered on the origin with radius 8.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
A 30-60-90 triangle.
38. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
0
61 - 67
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
A reflection about the axis.
39. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
Angle/360 x (pi)r^2
6
1
87.5%
40. 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))?
(p + q)/5
C = 2(pi)r
20.5
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
41. Length of an arc of a circle?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Angle/360 x 2(pi)r
2^9 / 2 = 256
A subset.
42. 5x^2 - 35x -55 = 0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Yes. [i.e. f(x) = x^2 - 1
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Undefined - because we can'T divide by 0.
43. a^2 - 2ab + b^2
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Indeterminable.
(a - b)^2
Triangles with same measure and same side lengths.
44. Simplify the expression (p^2 - q^2)/ -5(q - p)
31 - 37
10! / (10-3)! = 720
4096
(p + q)/5
45. Can the input value of a function have more than one output value (i.e. x: y - y1)?
(a - b)^2
3 - -3
No - the input value has exactly one output.
The shortest arc between points A and B on a circle'S diameter.
46. Pi is a ratio of what to what?
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47. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
10! / 3!(10-3)! = 120
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
Two angles whose sum is 90.
4a^2(b)
48. Simplify the expression [(b^2 - c^2) / (b - c)]
The steeper the slope.
4a^2(b)
(b + c)
An arc is a portion of a circumference of a circle.
49. (-1)^3 =
67 - 71 - 73
A reflection about the origin.
When the function is not defined for all real numbers -; only a subset of the real numbers.
1
50. 1/2 divided by 3/7 is the same as
413.03 / 10^4 (move the decimal point 4 places to the left)
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)
The point of intersection of the systems.
1/2 times 7/3