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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 to find a circle'S circumference from its diameter?
The set of elements found in both A and B.
1.0843 X 10^11
C = (pi)d
Its negative reciprocal. (-b/a)
2. Reduce: 4.8 : 0.8 : 1.6
Members or elements
6 : 1 : 2
x^(2(4)) =x^8 = (x^4)^2
Two angles whose sum is 90.
3. Which quadrant is the upper left hand?
Two angles whose sum is 90.
31 - 37
II
Pi is the ratio of a circle'S circumference to its diameter.
4. Which is greater? 200x^295 or 10x^294?
1
20.5
Relationship cannot be determined (what if x is negative?)
II
5. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
1
... the square of the ratios of the corresponding sides.
1/a^6
6. What is the formula for computing simple interest?
A = I (1 + rt)
1:sqrt3:2
48
2
7. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
y = (x + 5)/2
The direction of the inequality is reversed.
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)
4.25 - 6 - 22
8. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
A circle centered at -2 - -2 with radius 3.
A reflection about the origin.
The interesection of A and B.
Undefined
9. 6w^2 - w - 15 = 0
180 degrees
A circle centered at -2 - -2 with radius 3.
No - the input value has exactly one output.
3/2 - 5/3
10. What is the 'union' of A and B?
The sum of its digits is divisible by 3.
Even
4a^2(b)
The set of elements which can be found in either A or B.
11. What are the members or elements of a set?
4096
The objects within a set.
Members or elements
4.25 - 6 - 22
12. Legs 5 - 12. Hypotenuse?
$3 -500 in the 9% and $2 -500 in the 7%.
288 (8 9 4)
13
48
13. To convert a decimal to a percent...
11 - 13 - 17 - 19
...multiply by 100.
16.6666%
The third side is greater than the difference and less than the sum.
14. 1/2 divided by 3/7 is the same as
(a - b)(a + b)
1/2 times 7/3
(base*height) / 2
2.592 kg
15. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
2.592 kg
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
90 degrees
16. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
8
10
The sum of digits is divisible by 9.
1
17. If an inequality is multiplied or divided by a negative number....
A reflection about the origin.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The direction of the inequality is reversed.
11 - 13 - 17 - 19
18. (x^2)^4
Members or elements
N! / (n-k)!
x^(4+7) = x^11
x^(2(4)) =x^8 = (x^4)^2
19. What is a chord of a circle?
(a - b)^2
An isosceles right triangle.
A chord is a line segment joining two points on a circle.
(amount of decrease/original price) x 100%
20. What is the graph of f(x) shifted upward c units or spaces?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Its last two digits are divisible by 4.
Angle/360 x (pi)r^2
F(x) + c
21. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
4725
A reflection about the origin.
1.7
A set with a number of elements which can be counted.
22. 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
Sector area = (n/360) X (pi)r^2
70
The interesection of A and B.
23. What is the slope of a vertical line?
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183
24. What is the graph of f(x) shifted right c units or spaces?
F(x-c)
A chord is a line segment joining two points on a circle.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
N! / (k!)(n-k)!
25. What does the graph x^2 + y^2 = 64 look like?
A circle centered on the origin with radius 8.
1/a^6
An infinite set.
2 & 3/7
26. Which quandrant is the lower right hand?
IV
Pi is the ratio of a circle'S circumference to its diameter.
Yes - like radicals can be added/subtracted.
2^9 / 2 = 256
27. Which is greater? 64^5 or 16^8
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Undefined
All numbers multiples of 1.
Two equal sides and two equal angles.
28. Volume for a cylinder?
Area of the base X height = (pi)hr^2
The overlapping sections.
2^9 / 2 = 256
11 - 13 - 17 - 19
29. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
18
An angle which is supplementary to an interior angle.
67 - 71 - 73
1
30. What is the graph of f(x) shifted downward c units or spaces?
90
F(x) - c
y = 2x^2 - 3
The set of output values for a function.
31. What are the smallest three prime numbers greater than 65?
18
67 - 71 - 73
31 - 37
10
32. The ratio of the areas of two similar polygons is ...
27^(-4)
... the square of the ratios of the corresponding sides.
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
3 - -3
33. 30< all primes<40
31 - 37
C = (pi)d
90pi
Two equal sides and two equal angles.
34. (-1)^3 =
The set of output values for a function.
23 - 29
An angle which is supplementary to an interior angle.
1
35. 60 < all primes <70
The second graph is less steep.
(p + q)/5
The overlapping sections.
61 - 67
36. Solve the quadratic equation ax^2 + bx + c= 0
An angle which is supplementary to an interior angle.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
8
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
37. a^2 - b^2 =
Indeterminable.
(a - b)(a + b)
The set of input values for a function.
F(x-c)
38. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
A central angle is an angle formed by 2 radii.
41 - 43 - 47
12! / 5!7! = 792
2sqrt6
39. 50 < all primes< 60
53 - 59
3sqrt4
Two equal sides and two equal angles.
II
40. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
90 degrees
(a + b)^2
9 & 6/7
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
41. Whats the difference between factors and multiples?
4725
From northeast - counterclockwise. I - II - III - IV
2 & 3/7
Factors are few - multiples are many.
42. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
1
4.25 - 6 - 22
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
10! / 3!(10-3)! = 120
43. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
The interesection of A and B.
72
13pi / 2
Pi is the ratio of a circle'S circumference to its diameter.
44. What is a central angle?
1:sqrt3:2
A central angle is an angle formed by 2 radii.
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.
500
45. Evaluate (4^3)^2
Even
(a + b)^2
4096
A circle centered at -2 - -2 with radius 3.
46. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
62.5%
Its negative reciprocal. (-b/a)
A reflection about the axis.
2sqrt6
47. What percent of 40 is 22?
87.5%
The direction of the inequality is reversed.
3
55%
48. Is 0 even or odd?
A 30-60-90 triangle.
Even
0
Triangles with same measure and same side lengths.
49. Formula for the area of a circle?
37.5%
18
A = pi(r^2)
A chord is a line segment joining two points on a circle.
50. Number of degrees in a triangle
288 (8 9 4)
The set of input values for a function.
28. n = 8 - k = 2. n! / k!(n-k)!
180