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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. Formula for the area of a circle?
A = pi(r^2)
(amount of decrease/original price) x 100%
500
Two equal sides and two equal angles.
2. Simplify the expression [(b^2 - c^2) / (b - c)]
An expression with just one term (-6x - 2a^2)
(b + c)
An isosceles right triangle.
2^9 / 2 = 256
3. a^2 + 2ab + b^2
IV
From northeast - counterclockwise. I - II - III - IV
(a + b)^2
1 & 37/132
4. What is the 'Restricted domain of a function'?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Its negative reciprocal. (-b/a)
1:sqrt3:2
When the function is not defined for all real numbers -; only a subset of the real numbers.
5. What is the 'Solution' for a system of linear equations?
Yes. [i.e. f(x) = x^2 - 1
The point of intersection of the systems.
1
An expression with just one term (-6x - 2a^2)
6. What is an exterior angle?
An angle which is supplementary to an interior angle.
From northeast - counterclockwise. I - II - III - IV
12! / 5!7! = 792
Part = Percent X Whole
7. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
I
All numbers multiples of 1.
Pi is the ratio of a circle'S circumference to its diameter.
$3 -500 in the 9% and $2 -500 in the 7%.
8. What are the roots of the quadrinomial x^2 + 2x + 1?
4725
N! / (k!)(n-k)!
G(x) = {x}
The two xes after factoring.
9. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Move the decimal point to the right x places
F(x-c)
The empty set - denoted by a circle with a diagonal through it.
Cd
10. a^2 - b^2
31 - 37
I
(a - b)(a + b)
3/2 - 5/3
11. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
12sqrt2
20.5
1.7
12. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
A set with a number of elements which can be counted.
A = I (1 + rt)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
13
13. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
13pi / 2
31 - 37
52
Sqrt 12
14. Can you subtract 3sqrt4 from sqrt4?
Yes - like radicals can be added/subtracted.
9 & 6/7
C = 2(pi)r
The overlapping sections.
15. How to find the diagonal of a rectangular solid?
4725
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
41 - 43 - 47
10! / 3!(10-3)! = 120
16. 3/8 in percent?
37.5%
Yes - like radicals can be added/subtracted.
Members or elements
$11 -448
17. 25^(1/2) or sqrt. 25 =
5 OR -5
10! / 3!(10-3)! = 120
Undefined - because we can'T divide by 0.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
18. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The curve opens downward and the vertex is the maximum point on the graph.
Cd
4:5
19. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
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
No - the input value has exactly one output.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
2.592 kg
20. How to determine percent decrease?
(amount of decrease/original price) x 100%
C = 2(pi)r
Part = Percent X Whole
75:11
21. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
16.6666%
52
Area of the base X height = (pi)hr^2
1
22. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
Members or elements
12.5%
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
4a^2(b)
23. (a^-1)/a^5
A reflection about the axis.
1/a^6
67 - 71 - 73
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
24. What is a finite set?
A set with a number of elements which can be counted.
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.
2.592 kg
5
25. Which quandrant is the lower right hand?
(base*height) / 2
C = (pi)d
3
IV
26. (x^2)^4
0
Pi is the ratio of a circle'S circumference to its diameter.
x^(2(4)) =x^8 = (x^4)^2
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
27. Whats the difference between factors and multiples?
Indeterminable.
5 OR -5
The set of output values for a function.
Factors are few - multiples are many.
28. 60 < all primes <70
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 overlapping sections.
61 - 67
5
29. When the 'a' in the parabola is negative...
1
The steeper the slope.
The curve opens downward and the vertex is the maximum point on the graph.
288 (8 9 4)
30. Is 0 even or odd?
(base*height) / 2
10
Even
Two equal sides and two equal angles.
31. What is the measure of an exterior angle of a regular pentagon?
2.592 kg
The second graph is less steep.
31 - 37
72
32. 2sqrt4 + sqrt4 =
3sqrt4
Even
A chord is a line segment joining two points on a circle.
I
33. What is the surface area of a cylinder with radius 5 and height 8?
Divide by 100.
288 (8 9 4)
130pi
90 degrees
34. 4.809 X 10^7 =
67 - 71 - 73
20.5
.0004809 X 10^11
(a - b)^2
35. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
Two angles whose sum is 180.
The sum of digits is divisible by 9.
441000 = 1 10 10 10 21 * 21
Its last two digits are divisible by 4.
36. 70 < all primes< 80
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
The second graph is less steep.
II
71 - 73 - 79
37. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
Area of the base X height = (pi)hr^2
70
The empty set - denoted by a circle with a diagonal through it.
The interesection of A and B.
38. x^(-y)=
(b + c)
The overlapping sections.
1/(x^y)
3/2 - 5/3
39. What is a set with no members called?
4725
The empty set - denoted by a circle with a diagonal through it.
13
Indeterminable.
40. Can the output value of a function have more than one input value?
The point of intersection of the systems.
Yes. [i.e. f(x) = x^2 - 1
Sector area = (n/360) X (pi)r^2
.0004809 X 10^11
41. 6w^2 - w - 15 = 0
$3 -500 in the 9% and $2 -500 in the 7%.
3/2 - 5/3
Its negative reciprocal. (-b/a)
A 30-60-90 triangle.
42. x^4 + x^7 =
(n-2) x 180
x^(4+7) = x^11
Even
The point of intersection of the systems.
43. If the two sides of a triangle are unequal then the longer side...
A chord is a line segment joining two points on a circle.
6 : 1 : 2
Lies opposite the greater angle
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
44. 5/8 in percent?
F(x + c)
288 (8 9 4)
6
62.5%
45. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
1 & 37/132
28. n = 8 - k = 2. n! / k!(n-k)!
y = 2x^2 - 3
46. (12sqrt15) / (2sqrt5) =
.0004809 X 10^11
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
The second graph is less steep.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
47. What is the 'Range' of a series of numbers?
(b + c)
The greatest value minus the smallest.
F(x + c)
The set of elements found in both A and B.
48. Which is greater? 27^(-4) or 9^(-8)
A central angle is an angle formed by 2 radii.
27^(-4)
A set with a number of elements which can be counted.
13
49. What is the absolute value function?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
441000 = 1 10 10 10 21 * 21
G(x) = {x}
2.592 kg
50. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
A reflection about the axis.
The sum of its digits is divisible by 3.
27^(-4)
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.