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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 upward c units or spaces?
I
x^(6-3) = x^3
F(x) + c
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
2. Simplify (a^2 + b)^2 - (a^2 - b)^2
28. n = 8 - k = 2. n! / k!(n-k)!
Angle/360 x (pi)r^2
4a^2(b)
12.5%
3. Define a 'monomial'
$11 -448
2(pi)r^2 + 2(pi)rh
53 - 59
An expression with just one term (-6x - 2a^2)
4. Legs 6 - 8. Hypotenuse?
An arc is a portion of a circumference of a circle.
Sqrt 12
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
10
5. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
3/2 - 5/3
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
2 & 3/7
Even
6. Whats the difference between factors and multiples?
Undefined
Factors are few - multiples are many.
2sqrt6
(a - b)^2
7. What is the 'Restricted domain of a function'?
3
An expression with just one term (-6x - 2a^2)
When the function is not defined for all real numbers -; only a subset of the real numbers.
F(x) + c
8. Which is greater? 200x^295 or 10x^294?
Relationship cannot be determined (what if x is negative?)
1:1:sqrt2
An infinite set.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
9. Which is greater? 27^(-4) or 9^(-8)
2.592 kg
27^(-4)
3
31 - 37
10. Evaluate (4^3)^2
4096
x^(2(4)) =x^8 = (x^4)^2
23 - 29
1:sqrt3:2
11. The objects in a set are called two names:
Lies opposite the greater angle
Members or elements
Part = Percent X Whole
4a^2(b)
12. What is the maximum value for the function g(x) = (-2x^2) -1?
2.592 kg
31 - 37
Yes. [i.e. f(x) = x^2 - 1
1
13. 3/8 in percent?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
1/2 times 7/3
37.5%
Its last two digits are divisible by 4.
14. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
4096
True
The overlapping sections.
The greatest value minus the smallest.
15. Number of degrees in a triangle
61 - 67
The set of output values for a function.
180
x^(4+7) = x^11
16. Reduce: 4.8 : 0.8 : 1.6
Its divisible by 2 and by 3.
III
6 : 1 : 2
4096
17. (12sqrt15) / (2sqrt5) =
6
The shortest arc between points A and B on a circle'S diameter.
2.592 kg
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
18. sqrt 2(sqrt 6)=
Sqrt 12
1/2 times 7/3
0
Infinite.
19. If the two sides of a triangle are unequal then the longer side...
Two equal sides and two equal angles.
Lies opposite the greater angle
Relationship cannot be determined (what if x is negative?)
Two angles whose sum is 90.
20. (a^-1)/a^5
1/a^6
16.6666%
1
F(x-c)
21. 30< all primes<40
The third side is greater than the difference and less than the sum.
31 - 37
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
A subset.
22. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
Triangles with same measure and same side lengths.
A reflection about the origin.
The set of elements found in both A and B.
Infinite.
23. 40 < all primes<50
7 / 1000
41 - 43 - 47
6 : 1 : 2
Indeterminable.
24. How many multiples does a given number have?
Infinite.
Undefined - because we can'T divide by 0.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
16.6666%
25. What does the graph x^2 + y^2 = 64 look like?
A circle centered on the origin with radius 8.
441000 = 1 10 10 10 21 * 21
A central angle is an angle formed by 2 radii.
No - the input value has exactly one output.
26. 20<all primes<30
The two xes after factoring.
$3 -500 in the 9% and $2 -500 in the 7%.
4:5
23 - 29
27. A number is divisible by 6 if...
All numbers multiples of 1.
2^9 / 2 = 256
2
Its divisible by 2 and by 3.
28. 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
180
12.5%
18
Undefined
29. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
0
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)
9 & 6/7
30. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
...multiply by 100.
1
13
x^(6-3) = x^3
31. What are congruent triangles?
When the function is not defined for all real numbers -; only a subset of the real numbers.
Triangles with same measure and same side lengths.
180 degrees
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)
32. 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?
83.333%
The sum of its digits is divisible by 3.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
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
33. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
3sqrt4
62.5%
130pi
34. 70 < all primes< 80
Ax^2 + bx + c where a -b and c are constants and a /=0
71 - 73 - 79
90 degrees
Lies opposite the greater angle
35. What is a piecewise equation?
N! / (k!)(n-k)!
G(x) = {x}
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
36. Evaluate 4/11 + 11/12
Triangles with same measure and same side lengths.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
1 & 37/132
1
37. What is a set with no members called?
(amount of decrease/original price) x 100%
41 - 43 - 47
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
The empty set - denoted by a circle with a diagonal through it.
38. What is the 'domain' of a function?
27^(-4)
The set of input values for a function.
The set of elements which can be found in either A or B.
2 & 3/7
39. 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
Its last two digits are divisible by 4.
12! / 5!7! = 792
Two angles whose sum is 90.
40. What is the empty set?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
A set with no members - denoted by a circle with a diagonal through it.
130pi
Yes. [i.e. f(x) = x^2 - 1
41. Is 0 even or odd?
Even
Two angles whose sum is 90.
53 - 59
The set of output values for a function.
42. What is the surface area of a cylinder with radius 5 and height 8?
130pi
1
F(x-c)
Pi is the ratio of a circle'S circumference to its diameter.
43. Order of quadrants:
From northeast - counterclockwise. I - II - III - IV
Its divisible by 2 and by 3.
x^(2(4)) =x^8 = (x^4)^2
1
44. What is the slope of a vertical line?
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183
45. Which quadrant is the lower left hand?
The two xes after factoring.
III
Angle/360 x (pi)r^2
3
46. 50 < all primes< 60
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The interesection of A and B.
53 - 59
13pi / 2
47. What is the intersection of A and B?
441000 = 1 10 10 10 21 * 21
1 & 37/132
0
The set of elements found in both A and B.
48. What is the 'union' of A and B?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
The set of elements which can be found in either A or B.
12sqrt2
1/(x^y)
49. a^0 =
Cd
3
1
Undefined
50. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
16.6666%
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The sum of digits is divisible by 9.
0