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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 graph of f(x) shifted upward c units or spaces?
13
An isosceles right triangle.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
F(x) + c
2. What is a finite set?
Its last two digits are divisible by 4.
The set of elements which can be found in either A or B.
83.333%
A set with a number of elements which can be counted.
3. Simplify the expression (p^2 - q^2)/ -5(q - p)
(n-2) x 180
(p + q)/5
1
13
4. To convert a decimal to a percent...
...multiply by 100.
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)
C = (pi)d
1 & 37/132
5. 10<all primes<20
0
11 - 13 - 17 - 19
No - only like radicals can be added.
Its divisible by 2 and by 3.
6. x^6 / x^3
The sum of its digits is divisible by 3.
x^(6-3) = x^3
1.0843 X 10^11
6 : 1 : 2
7. 50 < all primes< 60
2.592 kg
53 - 59
23 - 29
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
8. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
A set with a number of elements which can be counted.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
A circle centered at -2 - -2 with radius 3.
9. What is a central angle?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
... the square of the ratios of the corresponding sides.
4a^2(b)
A central angle is an angle formed by 2 radii.
10. A number is divisible by 6 if...
The objects within a set.
A reflection about the origin.
55%
Its divisible by 2 and by 3.
11. Number of degrees in a triangle
3
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
180
N! / (k!)(n-k)!
12. What are the members or elements of a set?
48
90pi
The objects within a set.
1
13. How to determine percent increase?
1/(x^y)
A = pi(r^2)
Ax^2 + bx + c where a -b and c are constants and a /=0
(amount of increase/original price) x 100%
14. What does scientific notation mean?
52
IV
A chord is a line segment joining two points on a circle.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
15. What is the ratio of the sides of an isosceles right triangle?
The set of elements which can be found in either A or B.
y = 2x^2 - 3
1:1:sqrt2
Arc length = (n/360) x pi(2r) where n is the number of degrees.
16. Is 0 even or odd?
Even
The sum of digits is divisible by 9.
10
Ax^2 + bx + c where a -b and c are constants and a /=0
17. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
C = 2(pi)r
$11 -448
1/2 times 7/3
Two angles whose sum is 90.
18. 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?
The sum of digits is divisible by 9.
75:11
The greatest value minus the smallest.
3/2 - 5/3
19. What is a major arc?
20. What is a set with no members called?
7 / 1000
.0004809 X 10^11
The empty set - denoted by a circle with a diagonal through it.
2 & 3/7
21. Which is greater? 200x^295 or 10x^294?
Ax^2 + bx + c where a -b and c are constants and a /=0
The union of A and B.
Relationship cannot be determined (what if x is negative?)
A circle centered at -2 - -2 with radius 3.
22. What is the sum of the angles of a triangle?
5
A circle centered at -2 - -2 with radius 3.
180 degrees
(amount of increase/original price) x 100%
23. What is the ratio of the sides of a 30-60-90 triangle?
27^(-4)
$3 -500 in the 9% and $2 -500 in the 7%.
1:sqrt3:2
Yes. [i.e. f(x) = x^2 - 1
24. What is the set of elements which can be found in either A or B?
The union of A and B.
An arc is a portion of a circumference of a circle.
A reflection about the origin.
10
25. What is the percent formula?
16.6666%
A reflection about the axis.
Part = Percent X Whole
1/a^6
26. a^2 - 2ab + b^2
3
(a - b)^2
4a^2(b)
Its last two digits are divisible by 4.
27. What are complementary angles?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Two angles whose sum is 90.
An angle which is supplementary to an interior angle.
A 30-60-90 triangle.
28. What is a tangent?
Sqrt 12
All numbers multiples of 1.
A tangent is a line that only touches one point on the circumference of a circle.
12.5%
29. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
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)
A grouping of the members within a set based on a shared characteristic.
Its last two digits are divisible by 4.
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
30. The larger the absolute value of the slope...
3
27^(-4)
The steeper the slope.
6 : 1 : 2
31. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
A reflection about the axis.
1:sqrt3:2
3 - -3
N! / (k!)(n-k)!
32. x^2 = 9. What is the value of x?
13pi / 2
The third side is greater than the difference and less than the sum.
1
3 - -3
33. Max and Min lengths for a side of a triangle?
2(pi)r^2 + 2(pi)rh
16.6666%
180 degrees
The third side is greater than the difference and less than the sum.
34. 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?
52
N! / (k!)(n-k)!
The sum of digits is divisible by 9.
A central angle is an angle formed by 2 radii.
35. If an inequality is multiplied or divided by a negative number....
6 : 1 : 2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
1
The direction of the inequality is reversed.
36. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
Two angles whose sum is 90.
28. n = 8 - k = 2. n! / k!(n-k)!
The shortest arc between points A and B on a circle'S diameter.
N! / (n-k)!
37. 1/2 divided by 3/7 is the same as
Pi is the ratio of a circle'S circumference to its diameter.
75:11
4725
1/2 times 7/3
38. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
70
9 : 25
180
Its divisible by 2 and by 3.
39. Circumference of a circle?
Diameter(Pi)
Indeterminable.
The set of elements found in both A and B.
71 - 73 - 79
40. 25^(1/2) or sqrt. 25 =
5 OR -5
1
1/a^6
288 (8 9 4)
41. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
2
Its negative reciprocal. (-b/a)
4.25 - 6 - 22
Arc length = (n/360) x pi(2r) where n is the number of degrees.
42. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
No - only like radicals can be added.
An angle which is supplementary to an interior angle.
Cd
43. Area of a triangle?
Pi is the ratio of a circle'S circumference to its diameter.
An expression with just one term (-6x - 2a^2)
1/(x^y)
(base*height) / 2
44. What is the absolute value function?
Yes - like radicals can be added/subtracted.
62.5%
10
G(x) = {x}
45. When the 'a' in a parabola is positive....
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
F(x) - c
6 : 1 : 2
The curve opens upward and the vertex is the minimal point on the graph.
46. What are congruent triangles?
Triangles with same measure and same side lengths.
2(pi)r^2 + 2(pi)rh
Pi is the ratio of a circle'S circumference to its diameter.
83.333%
47. What is the slope of a vertical line?
48. 0^0
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
True
9 & 6/7
Undefined
49. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
90
Even
0
50. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
...multiply by 100.
From northeast - counterclockwise. I - II - III - IV
4:5
4725