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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?
37.5%
2.592 kg
A tangent is a line that only touches one point on the circumference of a circle.
Sector area = (n/360) X (pi)r^2

2. What is the 'Range' of a series of numbers?
Factors are few - multiples are many.
The greatest value minus the smallest.
The union of A and B.
1/2 times 7/3

3. What are the integers?
9 : 25
All numbers multiples of 1.
No - the input value has exactly one output.
48

4. What are congruent triangles?
The overlapping sections.
Triangles with same measure and same side lengths.
A central angle is an angle formed by 2 radii.
An angle which is supplementary to an interior angle.

5. 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))?
An expression with just one term (-6x - 2a^2)
(a - b)^2
1
20.5

6. Define an 'expression'.
5 OR -5
A set with a number of elements which can be counted.
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)
Two angles whose sum is 90.

7. When does a function automatically have a restricted domain (2)?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...
Two angles whose sum is 90.
The steeper the slope.

8. (6sqrt3) x (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The steeper the slope.
441000 = 1 10 10 10 21 * 21
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. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
5
A 30-60-90 triangle.

10. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
90
A central angle is an angle formed by 2 radii.
A reflection about the origin.
(p + q)/5

11. 413.03 x 10^(-4) =
A = I (1 + rt)
413.03 / 10^4 (move the decimal point 4 places to the left)
The third side is greater than the difference and less than the sum.
1.7

12. Area of a triangle?
(base*height) / 2
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
A set with a number of elements which can be counted.
288 (8 9 4)

13. How many 3-digit positive integers are even and do not contain the digit 4?
The two xes after factoring.
4a^2(b)
288 (8 9 4)
...multiply by 100.

14. x^2 = 9. What is the value of x?
3 - -3
Its divisible by 2 and by 3.
The second graph is less steep.
(n-2) x 180

15. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
3/2 - 5/3
1/a^6
Two angles whose sum is 180.

16. What is a major arc?

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17. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
F(x) - c
N! / (k!)(n-k)!
F(x) + c
70

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?
y = (x + 5)/2
x^(4+7) = x^11
y = 2x^2 - 3
F(x) + c

19. Formula to find a circle'S circumference from its radius?
$3 -500 in the 9% and $2 -500 in the 7%.
2sqrt6
87.5%
C = 2(pi)r

20. Max and Min lengths for a side of a triangle?
y = 2x^2 - 3
Move the decimal point to the right x places
Divide by 100.
The third side is greater than the difference and less than the sum.

21. To convert a percent to a fraction....
From northeast - counterclockwise. I - II - III - IV
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)
Divide by 100.
Two angles whose sum is 90.

22. When the 'a' in the parabola is negative...
180
The curve opens downward and the vertex is the maximum point on the graph.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
(p + q)/5

23. Which quandrant is the lower right hand?
IV
13pi / 2
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)
12.5%

24. 5/8 in percent?
3 - -3
Triangles with same measure and same side lengths.
Move the decimal point to the right x places
62.5%

25. A number is divisible by 9 if...
13pi / 2
The sum of digits is divisible by 9.
Undefined
F(x) + c

26. What are the roots of the quadrinomial x^2 + 2x + 1?
The two xes after factoring.
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)
x^(6-3) = x^3
(a + b)^2

27. The perimeter of a square is 48 inches. The length of its diagonal is:
1
The empty set - denoted by a circle with a diagonal through it.
90 degrees
12sqrt2

28. What are 'Supplementary angles?'
Two angles whose sum is 180.
2^9 / 2 = 256
I
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

29. How to find the diagonal of a rectangular solid?
13pi / 2
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
12sqrt2
Two equal sides and two equal angles.

30. Formula for the area of a circle?
1/a^6
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
A = pi(r^2)
(n-2) x 180

31. Number of degrees in a triangle
180
9 : 25
71 - 73 - 79
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

32. What are the smallest three prime numbers greater than 65?
3 - -3
23 - 29
67 - 71 - 73
1 & 37/132

33. Evaluate 4/11 + 11/12
II
18
1 & 37/132
A reflection about the origin.

34. Which is greater? 64^5 or 16^8
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
1.0843 X 10^11
Two angles whose sum is 180.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

35. 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)]?
Sector area = (n/360) X (pi)r^2
Arc length = (n/360) x pi(2r) where n is the number of degrees.
A central angle is an angle formed by 2 radii.
True

36. What is the slope of a horizontal line?
The curve opens downward and the vertex is the maximum point on the graph.
52
0
75:11

37. What are complementary angles?
An arc is a portion of a circumference of a circle.
Two angles whose sum is 90.
1
20.5

38. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
70
Area of the base X height = (pi)hr^2
83.333%
4725

39. What are the irrational numbers?

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40. The slope of a line perpendicular to (a/b)?
A set with no members - denoted by a circle with a diagonal through it.
No - only like radicals can be added.
Its negative reciprocal. (-b/a)
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)

41. What percent of 40 is 22?
55%
Cd
4096
9 : 25

42. a^0 =
7 / 1000
441000 = 1 10 10 10 21 * 21
1
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

43. The objects in a set are called two names:
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
$3 -500 in the 9% and $2 -500 in the 7%.
Members or elements
Undefined - because we can'T divide by 0.

44. a^2 + 2ab + b^2
(a + b)^2
I
The interesection of A and B.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

45. What is the set of elements which can be found in either A or B?
The union of A and B.
11 - 13 - 17 - 19
500
A tangent is a line that only touches one point on the circumference of a circle.

46. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
12! / 5!7! = 792
1/(x^y)
1:1:sqrt2
Factors are few - multiples are many.

47. In a regular polygon with n sides - the formula for the sum of interior angles
(n-2) x 180
10! / (10-3)! = 720
An arc is a portion of a circumference of a circle.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

48. What is the sum of the angles of a triangle?
3/2 - 5/3
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Its divisible by 2 and by 3.
180 degrees

49. What is the intersection of A and B?
288 (8 9 4)
The set of elements found in both A and B.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The overlapping sections.

50. Convert 0.7% to a fraction.
An arc is a portion of a circumference of a circle.
7 / 1000
Sqrt 12
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).