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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?
The union of A and B.
All numbers multiples of 1.
x^(6-3) = x^3
1
2. Which quadrant is the lower left hand?
III
Cd
90pi
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
3. How many sides does a hexagon have?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
6
The overlapping sections.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
4. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
The set of output values for a function.
Two equal sides and two equal angles.
62.5%
70
5. What is the ratio of the sides of a 30-60-90 triangle?
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)
1:sqrt3:2
37.5%
A grouping of the members within a set based on a shared characteristic.
6. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
4:5
A grouping of the members within a set based on a shared characteristic.
(a + b)^2
7. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
62.5%
A reflection about the axis.
10! / 3!(10-3)! = 120
Even
8. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
3
8
0
20.5
9. What are complementary angles?
(amount of decrease/original price) x 100%
Cd
A subset.
Two angles whose sum is 90.
10. What is the maximum value for the function g(x) = (-2x^2) -1?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A tangent is a line that only touches one point on the circumference of a circle.
1
90
11. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
A set with a number of elements which can be counted.
Sqrt 12
90
1/(x^y)
12. 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
1/a^6
18
.0004809 X 10^11
23 - 29
13. Which is greater? 200x^295 or 10x^294?
(a + b)^2
Relationship cannot be determined (what if x is negative?)
The overlapping sections.
(b + c)
14. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
Angle/360 x 2(pi)r
2sqrt6
87.5%
True
15. Volume for a cylinder?
Area of the base X height = (pi)hr^2
1
A circle centered on the origin with radius 8.
5 OR -5
16. What is the 'Range' of a function?
The set of output values for a function.
Angle/360 x 2(pi)r
II
13pi / 2
17. What is an exterior angle?
Undefined
180
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
An angle which is supplementary to an interior angle.
18. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
x^(6-3) = x^3
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).
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
19. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
N! / (n-k)!
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
I
Sqrt 12
20. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
All numbers multiples of 1.
441000 = 1 10 10 10 21 * 21
(amount of decrease/original price) x 100%
Even
21. P and r are factors of 100. What is greater - pr or 100?
9 & 6/7
Indeterminable.
4:5
53 - 59
22. What is a minor arc?
Warning
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/var/www/html/basicversity.com/show_quiz.php
on line
183
23. Factor a^2 + 2ab + b^2
Two angles whose sum is 90.
(a + b)^2
F(x-c)
(n-2) x 180
24. 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?
13pi / 2
Factors are few - multiples are many.
N! / (n-k)!
2^9 / 2 = 256
25. When does a function automatically have a restricted domain (2)?
The set of output values for a function.
130pi
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
87.5%
26. 8.84 / 5.2
(a + b)^2
13pi / 2
1.7
Sector area = (n/360) X (pi)r^2
27. 60 < all primes <70
Two angles whose sum is 90.
4a^2(b)
61 - 67
IV
28. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
The sum of digits is divisible by 9.
(a + b)^2
Members or elements
2^9 / 2 = 256
29. Circumference of a circle?
Diameter(Pi)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
Its divisible by 2 and by 3.
30. Which is greater? 27^(-4) or 9^(-8)
(a + b)^2
27^(-4)
1/(x^y)
90 degrees
31. What is the 'Restricted domain of a function'?
When the function is not defined for all real numbers -; only a subset of the real numbers.
From northeast - counterclockwise. I - II - III - IV
A set with no members - denoted by a circle with a diagonal through it.
Sector area = (n/360) X (pi)r^2
32. What is a chord of a circle?
4a^2(b)
F(x + c)
x^(2(4)) =x^8 = (x^4)^2
A chord is a line segment joining two points on a circle.
33. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
A = I (1 + rt)
The two xes after factoring.
The third side is greater than the difference and less than the sum.
2 & 3/7
34. 70 < all primes< 80
27^(-4)
A = I (1 + rt)
71 - 73 - 79
1 & 37/132
35. How to determine percent decrease?
The interesection of A and B.
A = I (1 + rt)
Lies opposite the greater angle
(amount of decrease/original price) x 100%
36. 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?
The union of A and B.
48
A circle centered on the origin with radius 8.
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)
37. Which quandrant is the lower right hand?
8
IV
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
3sqrt4
38. Evaluate 4/11 + 11/12
1:1:sqrt2
Undefined
1 & 37/132
2
39. The perimeter of a square is 48 inches. The length of its diagonal is:
0
0
12sqrt2
2sqrt6
40. What are the members or elements of a set?
0
From northeast - counterclockwise. I - II - III - IV
The objects within a set.
A chord is a line segment joining two points on a circle.
41. How many multiples does a given number have?
Angle/360 x (pi)r^2
48
130pi
Infinite.
42. What is the graph of f(x) shifted downward c units or spaces?
55%
F(x) - c
True
A central angle is an angle formed by 2 radii.
43. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
A circle centered at -2 - -2 with radius 3.
A set with no members - denoted by a circle with a diagonal through it.
130pi
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
44. Legs 5 - 12. Hypotenuse?
Undefined
2.592 kg
13
1
45. Area of a triangle?
(base*height) / 2
Divide by 100.
Triangles with same measure and same side lengths.
I
46. How to find the area of a sector?
Angle/360 x (pi)r^2
The sum of digits is divisible by 9.
...multiply by 100.
7 / 1000
47. What is the side length of an equilateral triangle with altitude 6?
2 & 3/7
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)
A tangent is a line that only touches one point on the circumference of a circle.
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...
48. 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?
413.03 / 10^4 (move the decimal point 4 places to the left)
1/(x^y)
3 - -3
500
49. Whats the difference between factors and multiples?
Factors are few - multiples are many.
72
The sum of digits is divisible by 9.
A = pi(r^2)
50. 25^(1/2) or sqrt. 25 =
The empty set - denoted by a circle with a diagonal through it.
$11 -448
5 OR -5
23 - 29