SUBJECTS
|
BROWSE
|
CAREER CENTER
|
POPULAR
|
JOIN
|
LOGIN
Business Skills
|
Soft Skills
|
Basic Literacy
|
Certifications
About
|
Help
|
Privacy
|
Terms
|
Email
Search
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. Describe the relationship between the graphs of x^2 and (1/2)x^2
The second graph is less steep.
Pi is the ratio of a circle'S circumference to its diameter.
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.
A tangent is a line that only touches one point on the circumference of a circle.
2. 3/8 in percent?
37.5%
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
N! / (n-k)!
10! / 3!(10-3)! = 120
3. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
1:1:sqrt2
90
A grouping of the members within a set based on a shared characteristic.
Angle/360 x (pi)r^2
4. What are the real numbers?
13
87.5%
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.
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)
5. 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.
x^(6-3) = x^3
The curve opens upward and the vertex is the minimal point on the graph.
The shortest arc between points A and B on a circle'S diameter.
6. Formula of rectangle where l increases by 20% and w decreases by 20%
x= (1.2)(.8)lw
(base*height) / 2
$3 -500 in the 9% and $2 -500 in the 7%.
5
7. A number is divisible by 6 if...
Its divisible by 2 and by 3.
90
3
Diameter(Pi)
8. 5/8 in percent?
62.5%
The empty set - denoted by a circle with a diagonal through it.
When the function is not defined for all real numbers -; only a subset of the real numbers.
5
9. What is the 'Range' of a function?
9 : 25
87.5%
12.5%
The set of output values for a function.
10. 20<all primes<30
23 - 29
The set of elements found in both A and B.
4.25 - 6 - 22
Undefined - because we can'T divide by 0.
11. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
Part = Percent X Whole
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
72
12. What is the surface area of a cylinder with radius 5 and height 8?
Two angles whose sum is 180.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
130pi
Area of the base X height = (pi)hr^2
13. 60 < all primes <70
61 - 67
x= (1.2)(.8)lw
Yes. [i.e. f(x) = x^2 - 1
20.5
14. What is the 'Range' of a series of numbers?
31 - 37
The greatest value minus the smallest.
75:11
5 OR -5
15. (a^-1)/a^5
(a + b)^2
1/a^6
18
Undefined
16. (12sqrt15) / (2sqrt5) =
A 30-60-90 triangle.
Sqrt 12
2^9 / 2 = 256
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
17. If the two sides of a triangle are unequal then the longer side...
Lies opposite the greater angle
90pi
1.0843 X 10^11
23 - 29
18. 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?
441000 = 1 10 10 10 21 * 21
The empty set - denoted by a circle with a diagonal through it.
500
90 degrees
19. How to find the diagonal of a rectangular solid?
23 - 29
The two xes after factoring.
N! / (n-k)!
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
20. 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 reflection about the origin.
No - the input value has exactly one output.
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
...multiply by 100.
21. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
1
2^9 / 2 = 256
y = (x + 5)/2
Move the decimal point to the right x places
22. What are the smallest three prime numbers greater than 65?
The sum of digits is divisible by 9.
The set of elements which can be found in either A or B.
67 - 71 - 73
1 & 37/132
23. x^(-y)=
A 30-60-90 triangle.
A grouping of the members within a set based on a shared characteristic.
1/(x^y)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
24. Factor x^2 - xy + x.
C = (pi)d
x(x - y + 1)
The overlapping sections.
(p + q)/5
25. 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?
4a^2(b)
75:11
The objects within a set.
F(x-c)
26. Length of an arc of a circle?
Angle/360 x 2(pi)r
The set of elements which can be found in either A or B.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
87.5%
27. (-1)^3 =
23 - 29
413.03 / 10^4 (move the decimal point 4 places to the left)
1
31 - 37
28. What is a parabola?
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)
Ax^2 + bx + c where a -b and c are constants and a /=0
A chord is a line segment joining two points on a circle.
No - only like radicals can be added.
29. What are the roots of the quadrinomial x^2 + 2x + 1?
All numbers multiples of 1.
Infinite.
The sum of digits is divisible by 9.
The two xes after factoring.
30. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
Cd
20.5
23 - 29
2 & 3/7
31. 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?
(base*height) / 2
...multiply by 100.
3
500
32. Which is greater? 200x^295 or 10x^294?
(p + q)/5
Relationship cannot be determined (what if x is negative?)
.0004809 X 10^11
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
33. The ratio of the areas of two similar polygons is ...
The union of A and B.
12sqrt2
... the square of the ratios of the corresponding sides.
C = 2(pi)r
34. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
The objects within a set.
III
5 OR -5
35. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
3sqrt4
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)
36. What is a finite set?
A set with a number of elements which can be counted.
...multiply by 100.
48
90
37. 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?
Area of the base X height = (pi)hr^2
$3 -500 in the 9% and $2 -500 in the 7%.
C = 2(pi)r
The empty set - denoted by a circle with a diagonal through it.
38. 7/8 in percent?
87.5%
An expression with just one term (-6x - 2a^2)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
(a - b)(a + b)
39. Simplify the expression [(b^2 - c^2) / (b - c)]
x^(6-3) = x^3
(b + c)
72
A set with a number of elements which can be counted.
40. 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.
52
$11 -448
(a + b)^2
41. Can the output value of a function have more than one input value?
Yes. [i.e. f(x) = x^2 - 1
70
Relationship cannot be determined (what if x is negative?)
0
42. What does scientific notation mean?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
4725
130pi
43. Define a 'Term' -
The curve opens upward and the vertex is the minimal point on the graph.
1.0843 X 10^11
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 overlapping sections.
44. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
F(x) + c
90 degrees
Even
45. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Yes - like radicals can be added/subtracted.
27^(-4)
A 30-60-90 triangle.
46. The objects in a set are called two names:
Two angles whose sum is 90.
Area of the base X height = (pi)hr^2
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...
Members or elements
47. Circumference of a circle?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
5 OR -5
Diameter(Pi)
A circle centered at -2 - -2 with radius 3.
48. 6w^2 - w - 15 = 0
All numbers multiples of 1.
3/2 - 5/3
Two angles whose sum is 90.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
49. Reduce: 4.8 : 0.8 : 1.6
x^(4+7) = x^11
6 : 1 : 2
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
When the function is not defined for all real numbers -; only a subset of the real numbers.
50. The perimeter of a square is 48 inches. The length of its diagonal is:
41 - 43 - 47
Two equal sides and two equal angles.
Infinite.
12sqrt2