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. Can the output value of a function have more than one input value?
Yes. [i.e. f(x) = x^2 - 1
Area of the base X height = (pi)hr^2
A grouping of the members within a set based on a shared characteristic.
Factors are few - multiples are many.
2. What is an arc of a circle?
10! / (10-3)! = 720
Yes. [i.e. f(x) = x^2 - 1
x^(4+7) = x^11
An arc is a portion of a circumference of a circle.
3. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
13pi / 2
True
Undefined - because we can'T divide by 0.
4. What is the name for a grouping of the members within a set based on a shared characteristic?
A subset.
55%
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
288 (8 9 4)
5. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Part = Percent X Whole
Cd
6
6. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
3sqrt4
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The second graph is less steep.
3
7. Evaluate 3& 2/7 / 1/3
9 & 6/7
Its negative reciprocal. (-b/a)
71 - 73 - 79
1:1:sqrt2
8. What is the surface area of a cylinder with radius 5 and height 8?
130pi
Even
When the function is not defined for all real numbers -; only a subset of the real numbers.
288 (8 9 4)
9. When the 'a' in the parabola is negative...
(base*height) / 2
3
2sqrt6
The curve opens downward and the vertex is the maximum point on the graph.
10. What number between 70 & 75 - inclusive - has the greatest number of factors?
13pi / 2
72
3 - -3
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
11. What are the real numbers?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
The set of elements which can be found in either A or B.
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)
F(x) - c
12. To convert a percent to a fraction....
(amount of increase/original price) x 100%
Divide by 100.
9 : 25
28. n = 8 - k = 2. n! / k!(n-k)!
13. 5/8 in percent?
62.5%
The union of A and B.
4a^2(b)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
14. 60 < all primes <70
61 - 67
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
The two xes after factoring.
Relationship cannot be determined (what if x is negative?)
15. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
A circle centered at -2 - -2 with radius 3.
Members or elements
y = (x + 5)/2
16. Describe the relationship between 3x^2 and 3(x - 1)^2
Factors are few - multiples are many.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
23 - 29
28. n = 8 - k = 2. n! / k!(n-k)!
17. Convert 0.7% to a fraction.
7 / 1000
87.5%
1
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
18. What is the percent formula?
A reflection about the axis.
Part = Percent X Whole
3sqrt4
12sqrt2
19. How to find the diagonal of a rectangular solid?
2^9 / 2 = 256
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
Area of the base X height = (pi)hr^2
9 : 25
20. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
(base*height) / 2
55%
20.5
1.7
21. 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?
3 - -3
10! / 3!(10-3)! = 120
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
9 : 25
22. Can you simplify sqrt72?
The second graph is less steep.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The curve opens upward and the vertex is the minimal point on the graph.
23. Formula to calculate arc length?
True
(a + b)^2
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
24. What is the empty set?
52
A reflection about the origin.
2 & 3/7
A set with no members - denoted by a circle with a diagonal through it.
25. What is a major arc?
Warning
: Invalid argument supplied for foreach() in
/var/www/html/basicversity.com/show_quiz.php
on line
183
26. 25^(1/2) or sqrt. 25 =
I
y = (x + 5)/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)
5 OR -5
27. 1/2 divided by 3/7 is the same as
The set of input values for a function.
1/2 times 7/3
The set of output values for a function.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
28. Simplify the expression [(b^2 - c^2) / (b - c)]
The union of A and B.
x^(2(4)) =x^8 = (x^4)^2
(b + c)
The direction of the inequality is reversed.
29. 5x^2 - 35x -55 = 0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Cd
3
1/2 times 7/3
30. What are the smallest three prime numbers greater than 65?
A circle centered at -2 - -2 with radius 3.
Sqrt 12
(a - b)(a + b)
67 - 71 - 73
31. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
441000 = 1 10 10 10 21 * 21
The overlapping sections.
90
5
32. What is the ratio of the sides of an isosceles right triangle?
N! / (k!)(n-k)!
All numbers multiples of 1.
(a + b)^2
1:1:sqrt2
33. What are the roots of the quadrinomial x^2 + 2x + 1?
288 (8 9 4)
52
The two xes after factoring.
1
34. a^2 - b^2 =
Cd
(a - b)(a + b)
1
Indeterminable.
35. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
The two xes after factoring.
12! / 5!7! = 792
3/2 - 5/3
Ax^2 + bx + c where a -b and c are constants and a /=0
36. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
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)
The sum of its digits is divisible by 3.
41 - 43 - 47
37. Can the input value of a function have more than one output value (i.e. x: y - y1)?
180 degrees
No - the input value has exactly one output.
y = 2x^2 - 3
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
38. Which quadrant is the upper left hand?
87.5%
II
3 - -3
10! / (10-3)! = 720
39. Legs: 3 - 4. Hypotenuse?
Its negative reciprocal. (-b/a)
5
10
A reflection about the axis.
40. Which quandrant is the lower right hand?
(a - b)^2
IV
Sector area = (n/360) X (pi)r^2
A tangent is a line that only touches one point on the circumference of a circle.
41. What is the sum of the angles of a triangle?
180 degrees
4:5
4a^2(b)
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)
42. What is a tangent?
12.5%
A tangent is a line that only touches one point on the circumference of a circle.
II
1
43. Formula for the area of a circle?
2.592 kg
A = pi(r^2)
1
IV
44. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
12sqrt2
A subset.
An isosceles right triangle.
45. What is the measure of an exterior angle of a regular pentagon?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
72
2.592 kg
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
46. (a^-1)/a^5
12sqrt2
0
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
1/a^6
47. 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?
A central angle is an angle formed by 2 radii.
The curve opens downward and the vertex is the maximum point on the graph.
C = (pi)d
500
48. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
Two angles whose sum is 90.
(a + b)^2
70
Infinite.
49. What are the integers?
500
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
All numbers multiples of 1.
87.5%
50. What is the 'Range' of a function?
The set of output values for a function.
2sqrt6
A = pi(r^2)
Lies opposite the greater angle