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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. What are the integers?
4.25 - 6 - 22
All numbers multiples of 1.
2.592 kg
The second graph is less steep.
2. 413.03 x 10^(-4) =
413.03 / 10^4 (move the decimal point 4 places to the left)
1/2 times 7/3
16.6666%
Its negative reciprocal. (-b/a)
3. Formula to find a circle'S circumference from its radius?
(b + c)
(p + q)/5
An angle which is supplementary to an interior angle.
C = 2(pi)r
4. Can the output value of a function have more than one input value?
III
x= (1.2)(.8)lw
Even
Yes. [i.e. f(x) = x^2 - 1
5. 30< all primes<40
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)
31 - 37
2 & 3/7
A 30-60-90 triangle.
6. What is a tangent?
4725
A tangent is a line that only touches one point on the circumference of a circle.
31 - 37
1 & 37/132
7. 50 < all primes< 60
.0004809 X 10^11
4a^2(b)
130pi
53 - 59
8. What is the intersection of A and B?
Sector area = (n/360) X (pi)r^2
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
x= (1.2)(.8)lw
The set of elements found in both A and B.
9. How to find the diagonal of a rectangular solid?
Two equal sides and two equal angles.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The direction of the inequality is reversed.
Relationship cannot be determined (what if x is negative?)
10. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
A grouping of the members within a set based on a shared characteristic.
C = 2(pi)r
9 & 6/7
A circle centered at -2 - -2 with radius 3.
11. 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.
N! / (n-k)!
The two xes after factoring.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
12. a^0 =
1
53 - 59
90
2^9 / 2 = 256
13. 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)
90
A reflection about the origin.
4.25 - 6 - 22
The set of input values for a function.
14. a^2 - 2ab + b^2
(a - b)^2
(amount of increase/original price) x 100%
180
The set of elements found in both A and B.
15. 1/2 divided by 3/7 is the same as
9 : 25
1/2 times 7/3
2 & 3/7
The greatest value minus the smallest.
16. The ratio of the areas of two similar polygons is ...
A grouping of the members within a set based on a shared characteristic.
The set of elements found in both A and B.
... the square of the ratios of the corresponding sides.
(base*height) / 2
17. Evaluate 4/11 + 11/12
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
C = 2(pi)r
The direction of the inequality is reversed.
1 & 37/132
18. What is a parabola?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
288 (8 9 4)
F(x) - c
Ax^2 + bx + c where a -b and c are constants and a /=0
19. Simplify 9^(1/2) X 4^3 X 2^(-6)?
28. n = 8 - k = 2. n! / k!(n-k)!
1.7
12.5%
3
20. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
The point of intersection of the systems.
Cd
y = (x + 5)/2
21. How to determine percent increase?
6
An isosceles right triangle.
37.5%
(amount of increase/original price) x 100%
22. Which is greater? 27^(-4) or 9^(-8)
An infinite set.
27^(-4)
Its divisible by 2 and by 3.
x^(6-3) = x^3
23. What are the rational numbers?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Indeterminable.
1
48
24. What percent of 40 is 22?
N! / (n-k)!
(a - b)^2
F(x) - c
55%
25. 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.
(a + b)^2
Sector area = (n/360) X (pi)r^2
Arc length = (n/360) x pi(2r) where n is the number of degrees.
26. 4.809 X 10^7 =
.0004809 X 10^11
Its divisible by 2 and by 3.
(a - b)^2
1:1:sqrt2
27. How many 3-digit positive integers are even and do not contain the digit 4?
413.03 / 10^4 (move the decimal point 4 places to the left)
A = pi(r^2)
5 OR -5
288 (8 9 4)
28. 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?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The two xes after factoring.
The curve opens upward and the vertex is the minimal point on the graph.
9 : 25
29. Legs: 3 - 4. Hypotenuse?
37.5%
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
5
Yes. [i.e. f(x) = x^2 - 1
30. Which quadrant is the upper right hand?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
4096
I
70
31. Convert 0.7% to a fraction.
288 (8 9 4)
Its divisible by 2 and by 3.
7 / 1000
N! / (k!)(n-k)!
32. 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?
1:1:sqrt2
1/2 times 7/3
y = 2x^2 - 3
Area of the base X height = (pi)hr^2
33. Describe the relationship between 3x^2 and 3(x - 1)^2
C = 2(pi)r
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.
2 & 3/7
34. Reduce: 4.8 : 0.8 : 1.6
The empty set - denoted by a circle with a diagonal through it.
F(x) - c
6 : 1 : 2
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
35. The slope of a line perpendicular to (a/b)?
... the square of the ratios of the corresponding sides.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
Sector area = (n/360) X (pi)r^2
Its negative reciprocal. (-b/a)
36. What is the name of set with a number of elements which cannot be counted?
Yes. [i.e. f(x) = x^2 - 1
An infinite set.
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.
The sum of its digits is divisible by 3.
37. A number is divisible by 4 is...
72
A = I (1 + rt)
Its last two digits are divisible by 4.
The shortest arc between points A and B on a circle'S diameter.
38. Formula of rectangle where l increases by 20% and w decreases by 20%
x= (1.2)(.8)lw
All numbers multiples of 1.
441000 = 1 10 10 10 21 * 21
Cd
39. When does a function automatically have a restricted domain (2)?
The objects within a set.
10! / (10-3)! = 720
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
F(x-c)
40. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
Diameter(Pi)
180 degrees
N! / (k!)(n-k)!
41. What is the 'union' of A and B?
6 : 1 : 2
A chord is a line segment joining two points on a circle.
10! / 3!(10-3)! = 120
The set of elements which can be found in either A or B.
42. What is the graph of f(x) shifted downward c units or spaces?
Its negative reciprocal. (-b/a)
F(x) - c
20.5
(base*height) / 2
43. Which quandrant is the lower right hand?
(b + c)
The greatest value minus the smallest.
Relationship cannot be determined (what if x is negative?)
IV
44. What is the absolute value function?
0
1
III
G(x) = {x}
45. The number of degrees in the largest angle of a triangle inscribed in a circle - in which the diameter of the circle is one side of the triangle.
Two angles whose sum is 180.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
90 degrees
62.5%
46. x^6 / x^3
x^(6-3) = x^3
Divide by 100.
37.5%
(a + b)^2
47. Define an 'expression'.
The longest arc between points A and B on a circle'S diameter.
Even
An expression with just one term (-6x - 2a^2)
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)
48. The perimeter of a square is 48 inches. The length of its diagonal is:
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
12sqrt2
The set of output values for a function.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
49. What is the set of elements found in both A and B?
Cd
(a + b)^2
The interesection of A and B.
A 30-60-90 triangle.
50. x^4 + x^7 =
71 - 73 - 79
x^(4+7) = x^11
Two equal sides and two equal angles.
Pi is the ratio of a circle'S circumference to its diameter.