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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 is the graph of f(x) shifted right c units or spaces?
10! / 3!(10-3)! = 120
F(x-c)
5
180 degrees
2. Legs 6 - 8. Hypotenuse?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
The overlapping sections.
10
180
3. What is the 'Solution' for a system of linear equations?
y = (x + 5)/2
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The point of intersection of the systems.
71 - 73 - 79
4. 50 < all primes< 60
53 - 59
2(pi)r^2 + 2(pi)rh
1.7
The point of intersection of the systems.
5. 4.809 X 10^7 =
.0004809 X 10^11
The point of intersection of the systems.
Pi is the ratio of a circle'S circumference to its diameter.
A = I (1 + rt)
6. Factor x^2 - xy + x.
A = I (1 + rt)
67 - 71 - 73
A reflection about the origin.
x(x - y + 1)
7. Define an 'expression'.
16.6666%
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)
(a + b)^2
An isosceles right triangle.
8. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
Divide by 100.
C = 2(pi)r
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
Its negative reciprocal. (-b/a)
9. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
2.592 kg
87.5%
The steeper the slope.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
10. Pi is a ratio of what to what?
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11. What are the members or elements of a set?
The objects within a set.
Sector area = (n/360) X (pi)r^2
A tangent is a line that only touches one point on the circumference of a circle.
Infinite.
12. Is 0 even or odd?
Undefined - because we can'T divide by 0.
Even
18
2 & 3/7
13. Volume for a cylinder?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
(n-2) x 180
Area of the base X height = (pi)hr^2
An isosceles right triangle.
14. What number between 70 & 75 - inclusive - has the greatest number of factors?
7 / 1000
72
18
8
15. 10<all primes<20
413.03 / 10^4 (move the decimal point 4 places to the left)
11 - 13 - 17 - 19
4a^2(b)
5 OR -5
16. A number is divisible by 6 if...
Its divisible by 2 and by 3.
A central angle is an angle formed by 2 radii.
.0004809 X 10^11
All numbers multiples of 1.
17. 5/8 in percent?
A = pi(r^2)
62.5%
413.03 / 10^4 (move the decimal point 4 places to the left)
A grouping of the members within a set based on a shared characteristic.
18. Which quandrant is the lower right hand?
IV
10! / (10-3)! = 720
The set of input values for a function.
Its divisible by 2 and by 3.
19. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
II
An expression with just one term (-6x - 2a^2)
2^9 / 2 = 256
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
20. 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).
The second graph is less steep.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
1
21. To multiply a number by 10^x
Two angles whose sum is 180.
180
90pi
Move the decimal point to the right x places
22. What is the 'Solution' for a set of inequalities.
2
5 OR -5
An angle which is supplementary to an interior angle.
The overlapping sections.
23. a^2 - b^2 =
(a - b)(a + b)
Lies opposite the greater angle
288 (8 9 4)
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
24. (12sqrt15) / (2sqrt5) =
The longest arc between points A and B on a circle'S diameter.
The sum of digits is divisible by 9.
A chord is a line segment joining two points on a circle.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
25. When the 'a' in the parabola is negative...
The curve opens downward and the vertex is the maximum point on the graph.
2sqrt6
Area of the base X height = (pi)hr^2
Triangles with same measure and same side lengths.
26. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
28. n = 8 - k = 2. n! / k!(n-k)!
13pi / 2
An arc is a portion of a circumference of a circle.
Triangles with same measure and same side lengths.
27. What percent of 40 is 22?
90
$3 -500 in the 9% and $2 -500 in the 7%.
I
55%
28. Simplify 9^(1/2) X 4^3 X 2^(-6)?
3sqrt4
55%
A central angle is an angle formed by 2 radii.
3
29. Can the output value of a function have more than one input value?
20.5
Yes. [i.e. f(x) = x^2 - 1
A = pi(r^2)
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
30. 413.03 x 10^(-4) =
An expression with just one term (-6x - 2a^2)
18
3
413.03 / 10^4 (move the decimal point 4 places to the left)
31. What does the graph x^2 + y^2 = 64 look like?
9 & 6/7
A circle centered on the origin with radius 8.
The overlapping sections.
The union of A and B.
32. Which is greater? 200x^295 or 10x^294?
Relationship cannot be determined (what if x is negative?)
A circle centered at -2 - -2 with radius 3.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
33. 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?
87.5%
10! / (10-3)! = 720
Pi is the ratio of a circle'S circumference to its diameter.
Yes. [i.e. f(x) = x^2 - 1
34. 70 < all primes< 80
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 sum of its digits is divisible by 3.
71 - 73 - 79
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
35. If the two sides of a triangle are unequal then the longer side...
12.5%
The set of elements which can be found in either A or B.
Lies opposite the greater angle
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.
36. What are congruent triangles?
1 & 37/132
Triangles with same measure and same side lengths.
Part = Percent X Whole
67 - 71 - 73
37. Evaluate 4/11 + 11/12
Triangles with same measure and same side lengths.
4:5
Move the decimal point to the right x places
1 & 37/132
38. Factor a^2 + 2ab + b^2
(a + b)^2
F(x + c)
83.333%
4725
39. Which quadrant is the upper left hand?
II
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
(a - b)(a + b)
40. What is the graph of f(x) shifted left c units or spaces?
Angle/360 x 2(pi)r
F(x + c)
The set of input values for a function.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
41. Can the input value of a function have more than one output value (i.e. x: y - y1)?
A 30-60-90 triangle.
I
70
No - the input value has exactly one output.
42. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
The greatest value minus the smallest.
1/2 times 7/3
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Cd
43. Reduce: 4.8 : 0.8 : 1.6
C = 2(pi)r
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)
6 : 1 : 2
9 : 25
44. What is the 'domain' of a function?
Two angles whose sum is 90.
The set of input values for a function.
Ax^2 + bx + c where a -b and c are constants and a /=0
A reflection about the axis.
45. What is the slope of a vertical line?
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46. How many 3-digit positive integers are even and do not contain the digit 4?
A subset.
$3 -500 in the 9% and $2 -500 in the 7%.
The third side is greater than the difference and less than the sum.
288 (8 9 4)
47. What is the surface area of a cylinder with radius 5 and height 8?
Cd
10! / (10-3)! = 720
130pi
10
48. 3/8 in percent?
Part = Percent X Whole
71 - 73 - 79
37.5%
9 & 6/7
49. 60 < all primes <70
(base*height) / 2
x= (1.2)(.8)lw
0
61 - 67
50. What is the 'Restricted domain of a function'?
The union of A and B.
A set with a number of elements which can be counted.
When the function is not defined for all real numbers -; only a subset of the real numbers.
70