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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. Simplify 9^(1/2) X 4^3 X 2^(-6)?
1:sqrt3:2
4:5
12.5%
3
2. Which is greater? 200x^295 or 10x^294?
11 - 13 - 17 - 19
Relationship cannot be determined (what if x is negative?)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
The objects within a set.
3. What is the set of elements found in both A and B?
A set with no members - denoted by a circle with a diagonal through it.
The objects within a set.
Undefined
The interesection of A and B.
4. 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?
The union of A and B.
$3 -500 in the 9% and $2 -500 in the 7%.
I
9 : 25
5. Evaluate (4^3)^2
4096
(a - b)^2
27^(-4)
3
6. 50 < all primes< 60
27^(-4)
4:5
413.03 / 10^4 (move the decimal point 4 places to the left)
53 - 59
7. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
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...
A circle centered at -2 - -2 with radius 3.
8. What is the sum of the angles of a triangle?
N! / (k!)(n-k)!
(a - b)^2
Cd
180 degrees
9. What is the 'Range' of a series of numbers?
The greatest value minus the smallest.
II
(amount of increase/original price) x 100%
The shortest arc between points A and B on a circle'S diameter.
10. When the 'a' in a parabola is positive....
The curve opens upward and the vertex is the minimal point on the graph.
0
1:1:sqrt2
(a + b)^2
11. 25^(1/2) or sqrt. 25 =
5 OR -5
0
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
180 degrees
12. Max and Min lengths for a side of a triangle?
$3 -500 in the 9% and $2 -500 in the 7%.
x^(4+7) = x^11
The third side is greater than the difference and less than the sum.
31 - 37
13. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
$3 -500 in the 9% and $2 -500 in the 7%.
The interesection of A and B.
Two angles whose sum is 180.
3
14. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
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)
No - the input value has exactly one output.
2
288 (8 9 4)
15. (a^-1)/a^5
1/a^6
A = pi(r^2)
6
The steeper the slope.
16. Volume for a cylinder?
5
C = (pi)d
Area of the base X height = (pi)hr^2
The curve opens downward and the vertex is the maximum point on the graph.
17. Which quadrant is the upper left hand?
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)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
II
1
18. If an inequality is multiplied or divided by a negative number....
The two xes after factoring.
The direction of the inequality is reversed.
4096
5 OR -5
19. What is the graph of f(x) shifted upward c units or spaces?
The curve opens upward and the vertex is the minimal point on the graph.
F(x) + c
F(x + c)
N! / (k!)(n-k)!
20. Order of quadrants:
(a - b)^2
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The steeper the slope.
From northeast - counterclockwise. I - II - III - IV
21. What is the 'Solution' for a system of linear equations?
Lies opposite the greater angle
The two xes after factoring.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The point of intersection of the systems.
22. Legs 6 - 8. Hypotenuse?
4a^2(b)
III
10
441000 = 1 10 10 10 21 * 21
23. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
10! / (10-3)! = 720
The overlapping sections.
2 & 3/7
24. What does scientific notation mean?
12sqrt2
A reflection about the origin.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
1/a^6
25. What are the integers?
All numbers multiples of 1.
The shortest arc between points A and B on a circle'S diameter.
A chord is a line segment joining two points on a circle.
(n-2) x 180
26. What is the graph of f(x) shifted downward c units or spaces?
Diameter(Pi)
F(x) - c
Yes. [i.e. f(x) = x^2 - 1
37.5%
27. 7/8 in percent?
.0004809 X 10^11
130pi
1/2 times 7/3
87.5%
28. 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)]?
1/a^6
True
7 / 1000
All numbers multiples of 1.
29. How to find the area of a sector?
Angle/360 x (pi)r^2
A set with a number of elements which can be counted.
An isosceles right triangle.
Its negative reciprocal. (-b/a)
30. a^2 - b^2
(a - b)(a + b)
Lies opposite the greater angle
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
4725
31. 0^0
N! / (k!)(n-k)!
The two xes after factoring.
x= (1.2)(.8)lw
Undefined
32. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
N! / (n-k)!
(b + c)
7 / 1000
3 - -3
33. What is the slope of a horizontal line?
4725
0
Arc length = (n/360) x pi(2r) where n is the number of degrees.
An isosceles right triangle.
34. x^2 = 9. What is the value of x?
3 - -3
Two angles whose sum is 90.
41 - 43 - 47
9 : 25
35. (12sqrt15) / (2sqrt5) =
Area of the base X height = (pi)hr^2
A subset.
62.5%
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
36. Write 10 -843 X 10^7 in scientific notation
A chord is a line segment joining two points on a circle.
1.0843 X 10^11
C = (pi)d
67 - 71 - 73
37. Can you add sqrt 3 and sqrt 5?
The set of output values for a function.
No - only like radicals can be added.
8
2 & 3/7
38. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
Triangles with same measure and same side lengths.
87.5%
8
Yes - like radicals can be added/subtracted.
39. Circumference of a circle?
Diameter(Pi)
4725
13pi / 2
x^(6-3) = x^3
40. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
The set of output values for a function.
70
Angle/360 x (pi)r^2
41. What is the order of operations?
(amount of increase/original price) x 100%
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
An angle which is supplementary to an interior angle.
An infinite set.
42. The larger the absolute value of the slope...
The steeper the slope.
C = (pi)d
... the square of the ratios of the corresponding sides.
F(x-c)
43. What is an arc of a circle?
No - the input value has exactly one output.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
An arc is a portion of a circumference of a circle.
10
44. To convert a percent to a fraction....
8
A = pi(r^2)
Divide by 100.
The curve opens upward and the vertex is the minimal point on the graph.
45. Factor x^2 - xy + x.
The set of elements found in both A and B.
4096
x(x - y + 1)
(base*height) / 2
46. To multiply a number by 10^x
No - the input value has exactly one output.
Move the decimal point to the right x places
1
11 - 13 - 17 - 19
47. What is the area of a regular hexagon with side 6?
F(x-c)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
F(x + c)
10
48. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
The objects within a set.
53 - 59
55%
49. Formula to find a circle'S circumference from its radius?
An infinite set.
An angle which is supplementary to an interior angle.
6
C = 2(pi)r
50. Define an 'expression'.
Its negative reciprocal. (-b/a)
1:1:sqrt2
(n-2) x 180
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)