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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. x^2 = 9. What is the value of x?
83.333%
3 - -3
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 two xes after factoring.
2. (a^-1)/a^5
A chord is a line segment joining two points on a circle.
1/a^6
4:5
The overlapping sections.
3. (-1)^2 =
180
16.6666%
67 - 71 - 73
1
4. Which quandrant is the lower right hand?
The steeper the slope.
IV
A tangent is a line that only touches one point on the circumference of a circle.
F(x) + c
5. 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?
F(x) - c
1
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
IV
6. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
A set with a number of elements which can be counted.
288 (8 9 4)
A reflection about the axis.
I
7. What is the slope of a horizontal line?
A chord is a line segment joining two points on a circle.
72
441000 = 1 10 10 10 21 * 21
0
8. 30< all primes<40
31 - 37
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
13
Indeterminable.
9. What percent of 40 is 22?
A tangent is a line that only touches one point on the circumference of a circle.
2
Even
55%
10. 10^6 has how many zeroes?
Area of the base X height = (pi)hr^2
The interesection of A and B.
.0004809 X 10^11
6
11. What is the measure of an exterior angle of a regular pentagon?
180 degrees
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
72
Sqrt 12
12. (-1)^3 =
1
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
67 - 71 - 73
1/(x^y)
13. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
The second graph is less steep.
Undefined
.0004809 X 10^11
14. Describe the relationship between 3x^2 and 3(x - 1)^2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
...multiply by 100.
(a - b)(a + b)
(amount of decrease/original price) x 100%
15. The objects in a set are called two names:
The union of A and B.
10! / (10-3)! = 720
Members or elements
A set with no members - denoted by a circle with a diagonal through it.
16. What is the sum of the angles of a triangle?
4.25 - 6 - 22
180 degrees
20.5
F(x + c)
17. 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.
90 degrees
61 - 67
N! / (k!)(n-k)!
Yes. [i.e. f(x) = x^2 - 1
18. 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?
441000 = 1 10 10 10 21 * 21
y = 2x^2 - 3
From northeast - counterclockwise. I - II - III - IV
1/2 times 7/3
19. What is the ratio of the sides of an isosceles right triangle?
3sqrt4
The set of output values for a function.
6
1:1:sqrt2
20. Factor x^2 - xy + x.
12.5%
x(x - y + 1)
70
II
21. What are the roots of the quadrinomial x^2 + 2x + 1?
An infinite set.
10! / (10-3)! = 720
The two xes after factoring.
2.592 kg
22. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
48
12.5%
2^9 / 2 = 256
Sqrt 12
23. A number is divisible by 9 if...
The sum of digits is divisible by 9.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
41 - 43 - 47
1 & 37/132
24. 10<all primes<20
A = I (1 + rt)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
1/a^6
11 - 13 - 17 - 19
25. What is the 'Solution' for a system of linear equations?
10! / (10-3)! = 720
3
The objects within a set.
The point of intersection of the systems.
26. 2sqrt4 + sqrt4 =
3sqrt4
A = pi(r^2)
Undefined
The point of intersection of the systems.
27. A number is divisible by 4 is...
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
1:1:sqrt2
$3 -500 in the 9% and $2 -500 in the 7%.
Its last two digits are divisible by 4.
28. What are the integers?
All numbers multiples of 1.
Divide by 100.
No - the input value has exactly one output.
Yes - like radicals can be added/subtracted.
29. In a regular polygon with n sides - the formula for the sum of interior angles
13pi / 2
A reflection about the origin.
(n-2) x 180
(a - b)(a + b)
30. Simplify the expression [(b^2 - c^2) / (b - c)]
(b + c)
F(x) + c
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
27^(-4)
31. What is the 'Solution' for a set of inequalities.
.0004809 X 10^11
The overlapping sections.
The second graph is less steep.
True
32. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
2.592 kg
(amount of increase/original price) x 100%
1
.0004809 X 10^11
33. What is an arc of a circle?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
x= (1.2)(.8)lw
x^(6-3) = x^3
An arc is a portion of a circumference of a circle.
34. What does scientific notation mean?
48
71 - 73 - 79
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
28. n = 8 - k = 2. n! / k!(n-k)!
35. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
10
0
(amount of decrease/original price) x 100%
The sum of digits is divisible by 9.
36. What is a tangent?
Yes. [i.e. f(x) = x^2 - 1
A tangent is a line that only touches one point on the circumference of a circle.
A chord is a line segment joining two points on a circle.
The set of elements found in both A and B.
37. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
13pi / 2
When the function is not defined for all real numbers -; only a subset of the real numbers.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
A set with a number of elements which can be counted.
38. Pi is a ratio of what to what?
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183
39. 4.809 X 10^7 =
An isosceles right triangle.
.0004809 X 10^11
F(x) - c
Its last two digits are divisible by 4.
40. a^2 - b^2 =
18
Its negative reciprocal. (-b/a)
0
(a - b)(a + b)
41. 413.03 x 10^(-4) =
413.03 / 10^4 (move the decimal point 4 places to the left)
31 - 37
11 - 13 - 17 - 19
67 - 71 - 73
42. Formula of rectangle where l increases by 20% and w decreases by 20%
x= (1.2)(.8)lw
Ax^2 + bx + c where a -b and c are constants and a /=0
62.5%
18
43. How to find the circumference of a circle which circumscribes a square?
2^9 / 2 = 256
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
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Ax^2 + bx + c where a -b and c are constants and a /=0
44. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
4:5
3
Its divisible by 2 and by 3.
Indeterminable.
45. Simplify the expression (p^2 - q^2)/ -5(q - p)
The third side is greater than the difference and less than the sum.
Ax^2 + bx + c where a -b and c are constants and a /=0
(p + q)/5
... the square of the ratios of the corresponding sides.
46. Formula to calculate arc length?
A reflection about the axis.
1/2 times 7/3
Two equal sides and two equal angles.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
47. What are 'Supplementary angles?'
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
288 (8 9 4)
Two angles whose sum is 180.
130pi
48. To convert a percent to a fraction....
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Divide by 100.
F(x + c)
130pi
49. 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)
F(x) + c
4.25 - 6 - 22
72
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
50. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
12! / 5!7! = 792
11 - 13 - 17 - 19
180 degrees