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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. How to find the diagonal of a rectangular solid?
y = 2x^2 - 3
72
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
1

2. a^2 - b^2 =
1/(x^y)
Undefined - because we can'T divide by 0.
(a - b)(a + b)
83.333%

3. The perimeter of a square is 48 inches. The length of its diagonal is:
12sqrt2
A subset.
3
90

4. How many sides does a hexagon have?
No - only like radicals can be added.
2
The overlapping sections.
6

5. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
1 & 37/132
$11 -448
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

6. 70 < all primes< 80
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
(a - b)^2
441000 = 1 10 10 10 21 * 21
71 - 73 - 79

7. What is the measure of an exterior angle of a regular pentagon?
Pi is the ratio of a circle'S circumference to its diameter.
I
72
87.5%

8. 40 < all primes<50
41 - 43 - 47
No - only like radicals can be added.
Angle/360 x 2(pi)r
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

9. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
The set of elements which can be found in either A or B.
x(x - y + 1)
4.25 - 6 - 22

10. What is a parabola?
7 / 1000
Ax^2 + bx + c where a -b and c are constants and a /=0
An isosceles right triangle.
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.

11. Simplify the expression (p^2 - q^2)/ -5(q - p)
20.5
(p + q)/5
67 - 71 - 73
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.

12. 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
6
Factors are few - multiples are many.
7 / 1000

13. How many multiples does a given number have?
Infinite.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Divide by 100.
72

14. 8.84 / 5.2
Area of the base X height = (pi)hr^2
288 (8 9 4)
1.7
An expression with just one term (-6x - 2a^2)

15. Convert 0.7% to a fraction.
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.
7 / 1000
The direction of the inequality is reversed.

16. 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
An angle which is supplementary to an interior angle.
4.25 - 6 - 22
61 - 67

17. x^6 / x^3
The point of intersection of the systems.
x^(6-3) = x^3
(amount of increase/original price) x 100%
The interesection of A and B.

18. Write 10 -843 X 10^7 in scientific notation
The shortest arc between points A and B on a circle'S diameter.
2sqrt6
The second graph is less steep.
1.0843 X 10^11

19. (12sqrt15) / (2sqrt5) =
Its divisible by 2 and by 3.
$3 -500 in the 9% and $2 -500 in the 7%.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

20. What are 'Supplementary angles?'
Two angles whose sum is 180.
$11 -448
The third side is greater than the difference and less than the sum.
Divide by 100.

21. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
F(x-c)
61 - 67
2 & 3/7
8

22. What is the ratio of the sides of a 30-60-90 triangle?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
1:sqrt3:2
13pi / 2
23 - 29

23. What is the empty set?
48
Two angles whose sum is 180.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
A set with no members - denoted by a circle with a diagonal through it.

24. What is the 'Restricted domain of a function'?
When the function is not defined for all real numbers -; only a subset of the real numbers.
1.7
70
(p + q)/5

25. How to find the circumference of a circle which circumscribes a square?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
67 - 71 - 73
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
2 & 3/7

26. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
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)
N! / (k!)(n-k)!
(p + q)/5
$3 -500 in the 9% and $2 -500 in the 7%.

27. (-1)^3 =
The second graph is less steep.
1
4725
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

28. 1/2 divided by 3/7 is the same as
90
2^9 / 2 = 256
F(x) + c
1/2 times 7/3

29. x^2 = 9. What is the value of x?
y = (x + 5)/2
Its negative reciprocal. (-b/a)
A central angle is an angle formed by 2 radii.
3 - -3

30. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
The two xes after factoring.
Cd
Move the decimal point to the right x places
(a - b)(a + b)

31. A number is divisible by 4 is...
1
180 degrees
Its last two digits are divisible by 4.
83.333%

32. What are the irrational numbers?

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33. Can the output value of a function have more than one input value?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
72
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Yes. [i.e. f(x) = x^2 - 1

34. What is the graph of f(x) shifted right c units or spaces?
18
N! / (k!)(n-k)!
F(x-c)
3sqrt4

35. (a^-1)/a^5
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
x^(6-3) = x^3
6
1/a^6

36. What is the 'Solution' for a set of inequalities.
(base*height) / 2
4:5
The overlapping sections.
16.6666%

37. What is the slope of a vertical line?

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38. What is the order of operations?
An infinite set.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
13pi / 2

39. 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?
13
An arc is a portion of a circumference of a circle.
52
4:5

40. Volume for a cylinder?
(a + b)^2
y = 2x^2 - 3
Even
Area of the base X height = (pi)hr^2

41. 60 < all primes <70
6 : 1 : 2
61 - 67
Divide by 100.
1

42. What is the graph of f(x) shifted left c units or spaces?
The point of intersection of the systems.
10
F(x + c)
The shortest arc between points A and B on a circle'S diameter.

43. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
The curve opens upward and the vertex is the minimal point on the graph.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
2sqrt6

44. 20<all primes<30
A chord is a line segment joining two points on a circle.
y = 2x^2 - 3
4096
23 - 29

45. What is the formula for computing simple interest?
Relationship cannot be determined (what if x is negative?)
F(x) + c
A = I (1 + rt)
No - only like radicals can be added.

46. What is the maximum value for the function g(x) = (-2x^2) -1?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
1
3

47. Define a 'Term' -
An expression with just one term (-6x - 2a^2)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
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)
C = 2(pi)r

48. P and r are factors of 100. What is greater - pr or 100?
x= (1.2)(.8)lw
Indeterminable.
5 OR -5
2(pi)r^2 + 2(pi)rh

49. Describe the relationship between 3x^2 and 3(x - 1)^2
A grouping of the members within a set based on a shared characteristic.
The steeper the slope.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Two angles whose sum is 90.

50. 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
A circle centered on the origin with radius 8.
9 : 25
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
18