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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. Legs 5 - 12. Hypotenuse?
The point of intersection of the systems.
2sqrt6
True
13
2. 50 < all primes< 60
413.03 / 10^4 (move the decimal point 4 places to the left)
9 & 6/7
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
53 - 59
3. What is the graph of f(x) shifted upward c units or spaces?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
The steeper the slope.
(a + b)^2
F(x) + c
4. 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?
N! / (k!)(n-k)!
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
441000 = 1 10 10 10 21 * 21
1
5. 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.
90 degrees
.0004809 X 10^11
6
Its negative reciprocal. (-b/a)
6. What is the 'Restricted domain of a function'?
Triangles with same measure and same side lengths.
90 degrees
F(x-c)
When the function is not defined for all real numbers -; only a subset of the real numbers.
7. Evaluate 4/11 + 11/12
The point of intersection of the systems.
1 & 37/132
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
62.5%
8. 7/8 in percent?
90
87.5%
Factors are few - multiples are many.
F(x-c)
9. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
2^9 / 2 = 256
Area of the base X height = (pi)hr^2
An expression with just one term (-6x - 2a^2)
1
10. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
The shortest arc between points A and B on a circle'S diameter.
... the square of the ratios of the corresponding sides.
62.5%
2
11. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
12sqrt2
75:11
From northeast - counterclockwise. I - II - III - IV
12. a^0 =
Two angles whose sum is 90.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
A = I (1 + rt)
1
13. To convert a decimal to a percent...
The set of elements which can be found in either A or B.
Members or elements
...multiply by 100.
The curve opens upward and the vertex is the minimal point on the graph.
14. Circumference of a circle?
Its last two digits are divisible by 4.
A = pi(r^2)
A circle centered on the origin with radius 8.
Diameter(Pi)
15. Volume for a cylinder?
All numbers multiples of 1.
Area of the base X height = (pi)hr^2
20.5
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
16. How to find the circumference of a circle which circumscribes a square?
41 - 43 - 47
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Members or elements
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
17. What is a parabola?
90
180
Ax^2 + bx + c where a -b and c are constants and a /=0
83.333%
18. 5/6 in percent?
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)
413.03 / 10^4 (move the decimal point 4 places to the left)
90pi
83.333%
19. The perimeter of a square is 48 inches. The length of its diagonal is:
12sqrt2
90pi
An isosceles right triangle.
y = (x + 5)/2
20. 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
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
18
Its last two digits are divisible by 4.
61 - 67
21. When the 'a' in the parabola is negative...
The curve opens downward and the vertex is the maximum point on the graph.
A grouping of the members within a set based on a shared characteristic.
18
Yes. [i.e. f(x) = x^2 - 1
22. Max and Min lengths for a side of a triangle?
The third side is greater than the difference and less than the sum.
2
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
When the function is not defined for all real numbers -; only a subset of the real numbers.
23. What are complementary angles?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Undefined - because we can'T divide by 0.
Two angles whose sum is 90.
Angle/360 x (pi)r^2
24. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
55%
12sqrt2
1
9 : 25
25. What is the 'domain' of a function?
Undefined
The set of input values for a function.
1/2 times 7/3
4096
26. Which is greater? 200x^295 or 10x^294?
500
Relationship cannot be determined (what if x is negative?)
1:sqrt3:2
Its divisible by 2 and by 3.
27. Factor x^2 - xy + x.
Part = Percent X Whole
x(x - y + 1)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
...multiply by 100.
28. Convert 0.7% to a fraction.
Area of the base X height = (pi)hr^2
1.7
7 / 1000
4:5
29. What is a minor arc?
Warning
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/var/www/html/basicversity.com/show_quiz.php
on line
183
30. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
x^(4+7) = x^11
8
The objects within a set.
31. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
The two xes after factoring.
3/2 - 5/3
A reflection about the origin.
32. Find the surface area of a cylinder with radius 3 and height 12.
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.
90pi
1:sqrt3:2
No - only like radicals can be added.
33. 3/8 in percent?
52
Angle/360 x (pi)r^2
37.5%
90 degrees
34. 20<all primes<30
F(x) - c
The third side is greater than the difference and less than the sum.
(a + b)^2
23 - 29
35. 0^0
4725
$11 -448
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Undefined
36. What is a finite set?
N! / (k!)(n-k)!
A set with a number of elements which can be counted.
4096
An expression with just one term (-6x - 2a^2)
37. What is the ratio of the sides of an isosceles right triangle?
1:1:sqrt2
1.7
61 - 67
The point of intersection of the systems.
38. What is the name of set with a number of elements which cannot be counted?
x= (1.2)(.8)lw
180
An infinite set.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
39. What is the empty set?
1 & 37/132
288 (8 9 4)
A set with no members - denoted by a circle with a diagonal through it.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
40. Can the input value of a function have more than one output value (i.e. x: y - y1)?
20.5
No - the input value has exactly one output.
No - only like radicals can be added.
(p + q)/5
41. What is the maximum value for the function g(x) = (-2x^2) -1?
The set of elements which can be found in either A or B.
1
13pi / 2
37.5%
42. What are congruent triangles?
(a + b)^2
Triangles with same measure and same side lengths.
An isosceles right triangle.
The set of output values for a function.
43. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
2.592 kg
No - the input value has exactly one output.
83.333%
A subset.
44. What is the 'union' of A and B?
True
All numbers multiples of 1.
G(x) = {x}
The set of elements which can be found in either A or B.
45. 10^6 has how many zeroes?
90pi
6
...multiply by 100.
$11 -448
46. Formula for the area of a circle?
413.03 / 10^4 (move the decimal point 4 places to the left)
A = pi(r^2)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Relationship cannot be determined (what if x is negative?)
47. a^2 - 2ab + b^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
(a - b)^2
Arc length = (n/360) x pi(2r) where n is the number of degrees.
N! / (k!)(n-k)!
48. What is the formula for compounded interest?
A tangent is a line that only touches one point on the circumference of a circle.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
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.
Cd
49. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
1:1:sqrt2
28. n = 8 - k = 2. n! / k!(n-k)!
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
50. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
90pi
A reflection about the axis.
The empty set - denoted by a circle with a diagonal through it.
Undefined