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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. 6w^2 - w - 15 = 0
75:11
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
3/2 - 5/3
2. 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?
70
75:11
A 30-60-90 triangle.
The two xes after factoring.
3. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
The greatest value minus the smallest.
The objects within a set.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
4. What are complementary angles?
31 - 37
F(x) - c
Two angles whose sum is 90.
Its last two digits are divisible by 4.
5. What is the order of operations?
Members or elements
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
5
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
6. Evaluate (4^3)^2
Infinite.
A tangent is a line that only touches one point on the circumference of a circle.
31 - 37
4096
7. P and r are factors of 100. What is greater - pr or 100?
288 (8 9 4)
Indeterminable.
1
G(x) = {x}
8. What is the set of elements which can be found in either A or B?
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)
1
The union of A and B.
F(x-c)
9. 25^(1/2) or sqrt. 25 =
288 (8 9 4)
Undefined
5 OR -5
The two xes after factoring.
10. When the 'a' in a parabola is positive....
x^(4+7) = x^11
The curve opens upward and the vertex is the minimal point on the graph.
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
A grouping of the members within a set based on a shared characteristic.
11. How to find the diagonal of a rectangular solid?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
1
72
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
12. 40 < all primes<50
41 - 43 - 47
90 degrees
A grouping of the members within a set based on a shared characteristic.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
13. What are the roots of the quadrinomial x^2 + 2x + 1?
16.6666%
55%
The two xes after factoring.
10! / (10-3)! = 720
14. 10<all primes<20
Its negative reciprocal. (-b/a)
3
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
11 - 13 - 17 - 19
15. The objects in a set are called two names:
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)
Members or elements
180 degrees
Pi is the ratio of a circle'S circumference to its diameter.
16. What is the set of elements found in both A and B?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
II
The interesection of A and B.
The set of elements found in both A and B.
17. 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?
13pi / 2
When the function is not defined for all real numbers -; only a subset of the real numbers.
48
The set of input values for a function.
18. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
F(x + c)
$11 -448
A reflection about the axis.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
19. x^6 / x^3
(a - b)(a + b)
The curve opens downward and the vertex is the maximum point on the graph.
x^(6-3) = x^3
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
20. Pi is a ratio of what to what?
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21. 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)
4.25 - 6 - 22
G(x) = {x}
The curve opens downward and the vertex is the maximum point on the graph.
3
22. What is a minor arc?
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23. What is the measure of an exterior angle of a regular pentagon?
N! / (n-k)!
(a - b)(a + b)
72
6
24. To convert a decimal to a percent...
...multiply by 100.
72
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
Its divisible by 2 and by 3.
25. How to determine percent increase?
(n-2) x 180
Angle/360 x (pi)r^2
2 & 3/7
(amount of increase/original price) x 100%
26. Max and Min lengths for a side of a triangle?
The third side is greater than the difference and less than the sum.
A circle centered on the origin with radius 8.
The overlapping sections.
12! / 5!7! = 792
27. 7/8 in percent?
x(x - y + 1)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
87.5%
28. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
72
A circle centered at -2 - -2 with radius 3.
10! / (10-3)! = 720
3
29. What is an exterior angle?
12sqrt2
1
An angle which is supplementary to an interior angle.
Infinite.
30. Whats the difference between factors and multiples?
A = I (1 + rt)
Factors are few - multiples are many.
The interesection of A and B.
1
31. What does the graph x^2 + y^2 = 64 look like?
0
A circle centered on the origin with radius 8.
The set of output values for a function.
F(x) - c
32. The ratio of the areas of two similar polygons is ...
... the square of the ratios of the corresponding sides.
10! / (10-3)! = 720
90 degrees
1/a^6
33. 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?
500
The direction of the inequality is reversed.
Even
An expression with just one term (-6x - 2a^2)
34. What is the ratio of the sides of an isosceles right triangle?
II
(base*height) / 2
The direction of the inequality is reversed.
1:1:sqrt2
35. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
10
441000 = 1 10 10 10 21 * 21
8
(a - b)(a + b)
36. sqrt 2(sqrt 6)=
61 - 67
N! / (k!)(n-k)!
Sqrt 12
10! / (10-3)! = 720
37. What is the slope of a horizontal line?
0
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 union of A and B.
1.7
38. 0^0
Indeterminable.
130pi
Its divisible by 2 and by 3.
Undefined
39. Reduce: 4.8 : 0.8 : 1.6
Two equal sides and two equal angles.
The curve opens upward and the vertex is the minimal point on the graph.
6 : 1 : 2
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
40. How to find the area of a sector?
Angle/360 x (pi)r^2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
6
The overlapping sections.
41. How many sides does a hexagon have?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
x(x - y + 1)
(base*height) / 2
6
42. 4.809 X 10^7 =
0
Yes. [i.e. f(x) = x^2 - 1
72
.0004809 X 10^11
43. 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?
52
N! / (k!)(n-k)!
Undefined - because we can'T divide by 0.
(base*height) / 2
44. (x^2)^4
N! / (n-k)!
I
A 30-60-90 triangle.
x^(2(4)) =x^8 = (x^4)^2
45. What is the formula for computing simple interest?
A = I (1 + rt)
Relationship cannot be determined (what if x is negative?)
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
(a + b)^2
46. 60 < all primes <70
Indeterminable.
Ax^2 + bx + c where a -b and c are constants and a /=0
61 - 67
71 - 73 - 79
47. Which quadrant is the upper right hand?
I
(amount of increase/original price) x 100%
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
Lies opposite the greater angle
48. (-1)^2 =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Undefined
C = (pi)d
1
49. The slope of a line perpendicular to (a/b)?
41 - 43 - 47
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Its negative reciprocal. (-b/a)
An expression with just one term (-6x - 2a^2)
50. What is the ratio of the sides of a 30-60-90 triangle?
130pi
12! / 5!7! = 792
70
1:sqrt3:2