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. Which is greater? 200x^295 or 10x^294?
10! / 3!(10-3)! = 120
Relationship cannot be determined (what if x is negative?)
When the function is not defined for all real numbers -; only a subset of the real numbers.
A circle centered at -2 - -2 with radius 3.
2. What is the slope of a horizontal line?
I
F(x) + c
No - only like radicals can be added.
0
3. 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?
$3 -500 in the 9% and $2 -500 in the 7%.
The third side is greater than the difference and less than the sum.
A grouping of the members within a set based on a shared characteristic.
Its negative reciprocal. (-b/a)
4. Which quadrant is the upper right hand?
The interesection of A and B.
72
A subset.
I
5. What does the graph x^2 + y^2 = 64 look like?
x^(2(4)) =x^8 = (x^4)^2
3/2 - 5/3
N! / (k!)(n-k)!
A circle centered on the origin with radius 8.
6. (12sqrt15) / (2sqrt5) =
71 - 73 - 79
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
413.03 / 10^4 (move the decimal point 4 places to the left)
6
7. What is the empty set?
10! / 3!(10-3)! = 120
441000 = 1 10 10 10 21 * 21
2 & 3/7
A set with no members - denoted by a circle with a diagonal through it.
8. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
Cd
83.333%
10! / (10-3)! = 720
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)
9. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
(n-2) x 180
Divide by 100.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
10. Can you simplify sqrt72?
... the square of the ratios of the corresponding sides.
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...
7 / 1000
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
11. 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?
From northeast - counterclockwise. I - II - III - IV
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/(x^y)
9 : 25
12. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
130pi
1/(x^y)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
13. Formula of rectangle where l increases by 20% and w decreases by 20%
71 - 73 - 79
x= (1.2)(.8)lw
C = 2(pi)r
Its negative reciprocal. (-b/a)
14. Max and Min lengths for a side of a triangle?
A grouping of the members within a set based on a shared characteristic.
The third side is greater than the difference and less than the sum.
$3 -500 in the 9% and $2 -500 in the 7%.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
15. Whats the difference between factors and multiples?
x^(6-3) = x^3
Factors are few - multiples are many.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
67 - 71 - 73
16. Legs: 3 - 4. Hypotenuse?
5
x= (1.2)(.8)lw
...multiply by 100.
The interesection of A and B.
17. What is the graph of f(x) shifted left c units or spaces?
13
1
Members or elements
F(x + c)
18. A number is divisible by 9 if...
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...
The sum of digits is divisible by 9.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
19. Area of a triangle?
.0004809 X 10^11
(base*height) / 2
18
F(x + c)
20. Define an 'expression'.
The direction of the inequality is reversed.
9 & 6/7
4096
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)
21. What is the set of elements found in both A and B?
The interesection of A and B.
The two xes after factoring.
Cd
I
22. What is a set with no members called?
(a - b)^2
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 empty set - denoted by a circle with a diagonal through it.
288 (8 9 4)
23. How many 3-digit positive integers are even and do not contain the digit 4?
70
The steeper the slope.
288 (8 9 4)
9 & 6/7
24. What is the name of set with a number of elements which cannot be counted?
An infinite set.
(a - b)(a + b)
A = I (1 + rt)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
25. The slope of a line perpendicular to (a/b)?
Its negative reciprocal. (-b/a)
Angle/360 x 2(pi)r
Lies opposite the greater angle
1
26. Pi is a ratio of what to what?
Warning
: Invalid argument supplied for foreach() in
/var/www/html/basicversity.com/show_quiz.php
on line
183
27. 10^6 has how many zeroes?
(a - b)(a + b)
The empty set - denoted by a circle with a diagonal through it.
6
52
28. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
1
12sqrt2
(b + c)
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
29. What are the members or elements of a set?
2 & 3/7
Two equal sides and two equal angles.
The objects within a set.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
30. 5x^2 - 35x -55 = 0
F(x-c)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
48
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
31. Formula for the area of a circle?
Relationship cannot be determined (what if x is negative?)
A = pi(r^2)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
II
32. Can you add sqrt 3 and sqrt 5?
Two angles whose sum is 90.
No - only like radicals can be added.
1
x(x - y + 1)
33. Which is greater? 27^(-4) or 9^(-8)
18
27^(-4)
90 degrees
10! / (10-3)! = 720
34. When the 'a' in a parabola is positive....
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
10! / (10-3)! = 720
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The curve opens upward and the vertex is the minimal point on the graph.
35. 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?
Infinite.
12! / 5!7! = 792
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
90
36. What is a minor arc?
Warning
: Invalid argument supplied for foreach() in
/var/www/html/basicversity.com/show_quiz.php
on line
183
37. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
Area of the base X height = (pi)hr^2
Infinite.
2
(b + c)
38. a^2 + 2ab + b^2
1
(a + b)^2
An expression with just one term (-6x - 2a^2)
4:5
39. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
No - the input value has exactly one output.
An expression with just one term (-6x - 2a^2)
2^9 / 2 = 256
13
40. x^4 + x^7 =
x^(4+7) = x^11
F(x) - c
28. n = 8 - k = 2. n! / k!(n-k)!
Indeterminable.
41. Can the input value of a function have more than one output value (i.e. x: y - y1)?
The set of output values for a function.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
No - the input value has exactly one output.
180 degrees
42. (-1)^2 =
Factors are few - multiples are many.
1
N! / (k!)(n-k)!
IV
43. 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?
(b + c)
10! / (10-3)! = 720
52
7 / 1000
44. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
4:5
Pi is the ratio of a circle'S circumference to its diameter.
Diameter(Pi)
45. 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?
20.5
180
Undefined - because we can'T divide by 0.
48
46. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
130pi
An angle which is supplementary to an interior angle.
0
... the square of the ratios of the corresponding sides.
47. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
10! / (10-3)! = 720
3
y = 2x^2 - 3
(amount of decrease/original price) x 100%
48. (-1)^3 =
x(x - y + 1)
3sqrt4
IV
1
49. What is an exterior angle?
(n-2) x 180
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
An angle which is supplementary to an interior angle.
12.5%
50. What are the real numbers?
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)
75:11
An infinite set.
13pi / 2