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GRE Math: Common Errors

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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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. Surface area for a cylinder?
2(pi)r^2 + 2(pi)rh
From northeast - counterclockwise. I - II - III - IV
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
41 - 43 - 47

2. What is the absolute value function?
The point of intersection of the systems.
F(x) + c
A 30-60-90 triangle.
G(x) = {x}

3. What is the name for a grouping of the members within a set based on a shared characteristic?
A subset.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Angle/360 x (pi)r^2
Divide by 100.

4. Legs 5 - 12. Hypotenuse?
52
An arc is a portion of a circumference of a circle.
413.03 / 10^4 (move the decimal point 4 places to the left)
13

5. 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?
1
83.333%
52
Even

6. x^4 + x^7 =
x^(4+7) = x^11
28. n = 8 - k = 2. n! / k!(n-k)!
II
Area of the base X height = (pi)hr^2

7. 50 < all primes< 60
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
53 - 59
(a - b)^2
1 & 37/132

8. What are the real numbers?
Its divisible by 2 and by 3.
F(x) - c
The sum of its digits is divisible by 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)

9. 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
Area of the base X height = (pi)hr^2
18
x(x - y + 1)
A = pi(r^2)

10. What is the surface area of a cylinder with radius 5 and height 8?
Divide by 100.
130pi
70
An isosceles right triangle.

11. 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)?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
62.5%
Pi is the ratio of a circle'S circumference to its diameter.
y = (x + 5)/2

12. When the 'a' in the parabola is negative...
Divide by 100.
The curve opens downward and the vertex is the maximum point on the graph.
x^(4+7) = x^11
1/2 times 7/3

13. What is the graph of f(x) shifted downward c units or spaces?
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)
An infinite set.
F(x) - c
1

14. What is the ratio of the sides of a 30-60-90 triangle?
The greatest value minus the smallest.
12! / 5!7! = 792
True
1:sqrt3:2

15. Whats the difference between factors and multiples?
Move the decimal point to the right x places
Factors are few - multiples are many.
...multiply by 100.
Undefined

16. What is a finite set?
5 OR -5
A set with a number of elements which can be counted.
The steeper the slope.
The sum of digits is divisible by 9.

17. What does scientific notation mean?
III
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
... the square of the ratios of the corresponding sides.
Two angles whose sum is 90.

18. What are the members or elements of a set?
4096
6
The objects within a set.
2(pi)r^2 + 2(pi)rh

19. Circumference of a circle?
A central angle is an angle formed by 2 radii.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Diameter(Pi)
180 degrees

20. A number is divisible by 6 if...
Its divisible by 2 and by 3.
A = I (1 + rt)
Two angles whose sum is 90.
The set of output values for a function.

21. 5/6 in percent?
83.333%
Two equal sides and two equal angles.
An arc is a portion of a circumference of a circle.
2^9 / 2 = 256

22. What are the integers?
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)
31 - 37
All numbers multiples of 1.
The steeper the slope.

23. How to find the circumference of a circle which circumscribes a square?
13
The set of elements found in both A and B.
16.6666%
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

24. What is the set of elements which can be found in either A or B?
10
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The union of A and B.
True

25. a^2 - b^2 =
3
The shortest arc between points A and B on a circle'S diameter.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
(a - b)(a + b)

26. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
A circle centered on the origin with radius 8.
A reflection about the axis.
3
A circle centered at -2 - -2 with radius 3.

27. 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
The set of output values for a function.
The direction of the inequality is reversed.
G(x) = {x}

28. 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?
6 : 1 : 2
Ax^2 + bx + c where a -b and c are constants and a /=0
10! / 3!(10-3)! = 120
1:1:sqrt2

29. Which is greater? 27^(-4) or 9^(-8)
27^(-4)
0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
11 - 13 - 17 - 19

30. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Members or elements
(p + q)/5
A = pi(r^2)

31. 60 < all primes <70
61 - 67
48
1
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

32. What is the name of set with a number of elements which cannot be counted?
13
An infinite set.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
10! / (10-3)! = 720

33. Can you subtract 3sqrt4 from sqrt4?
Yes - like radicals can be added/subtracted.
The interesection of A and B.
13pi / 2
7 / 1000

34. Factor a^2 + 2ab + b^2
(a + b)^2
72
6
37.5%

35. The slope of a line perpendicular to (a/b)?
Triangles with same measure and same side lengths.
Its negative reciprocal. (-b/a)
61 - 67
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

36. What are complementary angles?
Two angles whose sum is 90.
1
180 degrees
(base*height) / 2

37. In a regular polygon with n sides - the formula for the sum of interior angles
(n-2) x 180
Relationship cannot be determined (what if x is negative?)
A circle centered at -2 - -2 with radius 3.
1

38. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
A circle centered at -2 - -2 with radius 3.
When the function is not defined for all real numbers -; only a subset of the real numbers.
x^(4+7) = x^11
0

39. a^2 + 2ab + b^2
52
(a + b)^2
The objects within a set.
(base*height) / 2

40. What does the graph x^2 + y^2 = 64 look like?
Triangles with same measure and same side lengths.
IV
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A circle centered on the origin with radius 8.

41. Evaluate 3& 2/7 / 1/3
When the function is not defined for all real numbers -; only a subset of the real numbers.
An angle which is supplementary to an interior angle.
9 & 6/7
(a - b)(a + b)

42. 10^6 has how many zeroes?
0
1
A reflection about the origin.
6

43. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
The overlapping sections.
Two angles whose sum is 90.
500
10! / 3!(10-3)! = 120

44. What is the intersection of A and B?
4a^2(b)
Relationship cannot be determined (what if x is negative?)
A reflection about the axis.
The set of elements found in both A and B.

45. Find the surface area of a cylinder with radius 3 and height 12.
The steeper the slope.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
90pi

46. What are 'Supplementary angles?'
I
Two angles whose sum is 180.
The set of input values for a function.
Undefined

47. Can the input value of a function have more than one output value (i.e. x: y - y1)?
No - the input value has exactly one output.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
1/2 times 7/3
0

48. A number is divisible by 4 is...
2sqrt6
3
Its last two digits are divisible by 4.
9 : 25

49. Which quandrant is the lower right hand?
1
IV
3/2 - 5/3
41 - 43 - 47

50. The ratio of the areas of two similar polygons is ...
... the square of the ratios of the corresponding sides.
0
y = 2x^2 - 3
10! / 3!(10-3)! = 120

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GRE Math: Common Errors

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