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GRE Math: Common Errors

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. 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
1.0843 X 10^11
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
6

2. What is the 'union' of A and B?
The set of elements which can be found in either A or B.
288 (8 9 4)
C = 2(pi)r
G(x) = {x}

3. Area of a triangle?
(base*height) / 2
1 & 37/132
(amount of increase/original price) x 100%
C = (pi)d

4. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
Lies opposite the greater angle
13pi / 2
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
441000 = 1 10 10 10 21 * 21

5. 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.
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 objects within a set.
Infinite.

6. Simplify the expression [(b^2 - c^2) / (b - c)]
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
37.5%
(b + c)
28. n = 8 - k = 2. n! / k!(n-k)!

7. What is a minor arc?

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8. A number is divisible by 4 is...
x^(6-3) = x^3
90pi
N! / (k!)(n-k)!
Its last two digits are divisible by 4.

9. What is the set of elements which can be found in either A or B?
1/a^6
x^(6-3) = x^3
The union of A and B.
180

10. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
12sqrt2
3/2 - 5/3
A circle centered on the origin with radius 8.

11. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
1
13pi / 2
(a - b)(a + b)
8

12. What are the real numbers?
Two equal sides and two equal angles.
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)
Diameter(Pi)
6

13. What are the smallest three prime numbers greater than 65?
Undefined
67 - 71 - 73
A 30-60-90 triangle.
288 (8 9 4)

14. How to find the diagonal of a rectangular solid?
1
The interesection of A and B.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
4:5

15. Define an 'expression'.
Pi is the ratio of a circle'S circumference to its diameter.
10! / 3!(10-3)! = 120
2^9 / 2 = 256
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)

16. a^2 - 2ab + b^2
The curve opens downward and the vertex is the maximum point on the graph.
7 / 1000
No - the input value has exactly one output.
(a - b)^2

17. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
Undefined - because we can'T divide by 0.
5
N! / (n-k)!
A 30-60-90 triangle.

18. 30< all primes<40
(n-2) x 180
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Ax^2 + bx + c where a -b and c are constants and a /=0
31 - 37

19. What is the formula for computing simple interest?
The sum of digits is divisible by 9.
55%
1
A = I (1 + rt)

20. What is the graph of f(x) shifted upward c units or spaces?
31 - 37
67 - 71 - 73
F(x) + c
An angle which is supplementary to an interior angle.

21. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
27^(-4)
37.5%
5 OR -5

22. Surface area for a cylinder?
2(pi)r^2 + 2(pi)rh
16.6666%
The two xes after factoring.
52

23. (a^-1)/a^5
1/a^6
20.5
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
...multiply by 100.

24. Which quadrant is the upper left hand?
The steeper the slope.
x= (1.2)(.8)lw
87.5%
II

25. What is the formula for compounded interest?
28. n = 8 - k = 2. n! / k!(n-k)!
An infinite set.
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.
1.7

26. What is the sum of the angles of a triangle?
1.0843 X 10^11
5
180 degrees
288 (8 9 4)

27. What is the graph of f(x) shifted downward c units or spaces?
...multiply by 100.
(a - b)^2
1
F(x) - c

28. What is a piecewise equation?
No - only like radicals can be added.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
x(x - y + 1)
75:11

29. What is the 'Solution' for a system of linear equations?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The point of intersection of the systems.
N! / (k!)(n-k)!
2sqrt6

30. Can you simplify sqrt72?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
(a - b)(a + b)
N! / (k!)(n-k)!
The curve opens downward and the vertex is the maximum point on the graph.

31. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
20.5
13
(amount of increase/original price) x 100%
Part = Percent X Whole

32. x^6 / x^3
Indeterminable.
x^(6-3) = x^3
Its negative reciprocal. (-b/a)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

33. x^(-y)=
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The set of output values for a function.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
1/(x^y)

34. What is a tangent?
An arc is a portion of a circumference of a circle.
A tangent is a line that only touches one point on the circumference of a circle.
3sqrt4
4.25 - 6 - 22

35. Evaluate (4^3)^2
Lies opposite the greater angle
4096
6
(amount of decrease/original price) x 100%

36. What are the roots of the quadrinomial x^2 + 2x + 1?
10
The two xes after factoring.
An angle which is supplementary to an interior angle.
13

37. (12sqrt15) / (2sqrt5) =
No - the input value has exactly one output.
3
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
C = (pi)d

38. To convert a decimal to a percent...
62.5%
Diameter(Pi)
...multiply by 100.
The set of elements found in both A and B.

39. What are congruent triangles?
Triangles with same measure and same side lengths.
Pi is the ratio of a circle'S circumference to its diameter.
Move the decimal point to the right x places
An expression with just one term (-6x - 2a^2)

40. Pi is a ratio of what to what?

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41. Legs: 3 - 4. Hypotenuse?
55%
5
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
75:11

42. What is a central angle?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
x(x - y + 1)
N! / (k!)(n-k)!
A central angle is an angle formed by 2 radii.

43. Which is greater? 27^(-4) or 9^(-8)
27^(-4)
130pi
Sector area = (n/360) X (pi)r^2
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

44. 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
27^(-4)
All numbers multiples of 1.
18
A chord is a line segment joining two points on a circle.

45. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
1/(x^y)
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)
9 : 25

46. What is the intersection of A and B?
The set of elements found in both A and B.
Even
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
F(x + c)

47. How many sides does a hexagon have?
(b + c)
4a^2(b)
6
(amount of increase/original price) x 100%

48. 10^6 has how many zeroes?
1
31 - 37
Arc length = (n/360) x pi(2r) where n is the number of degrees.
6

49. 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?
52
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
The objects within a set.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

50. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
13
The set of elements which can be found in either A or B.
... the square of the ratios of the corresponding sides.