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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. Which is greater? 27^(-4) or 9^(-8)
27^(-4)
x(x - y + 1)
Sqrt 12
(amount of decrease/original price) x 100%

2. What is the sum of the angles of a triangle?
A tangent is a line that only touches one point on the circumference of a circle.
180 degrees
Cd
6

3. How to find the diagonal of a rectangular solid?
1 & 37/132
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
1

4. Evaluate 3& 2/7 / 1/3
9 & 6/7
The curve opens downward and the vertex is the maximum point on the graph.
87.5%
y = 2x^2 - 3

5. 1/6 in percent?
Members or elements
16.6666%
2.592 kg
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

6. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
413.03 / 10^4 (move the decimal point 4 places to the left)
The set of elements found in both A and B.
2^9 / 2 = 256

7. Which quandrant is the lower right hand?
A = I (1 + rt)
The curve opens downward and the vertex is the maximum point on the graph.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
IV

8. If an inequality is multiplied or divided by a negative number....
27^(-4)
72
The direction of the inequality is reversed.
1/a^6

9. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
75:11
An isosceles right triangle.
The objects within a set.
16.6666%

10. What is a major arc?

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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)?
y = (x + 5)/2
Yes. [i.e. f(x) = x^2 - 1
The shortest arc between points A and B on a circle'S diameter.
8

12. What is an isoceles triangle?
Two equal sides and two equal angles.
Members or elements
2 & 3/7
... the square of the ratios of the corresponding sides.

13. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
70
Sector area = (n/360) X (pi)r^2
9 : 25

14. Factor a^2 + 2ab + b^2
(a + b)^2
61 - 67
(b + c)
72

15. What are the real numbers?
The greatest value minus the smallest.
.0004809 X 10^11
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)
2^9 / 2 = 256

16. 413.03 x 10^(-4) =
1.0843 X 10^11
y = (x + 5)/2
.0004809 X 10^11
413.03 / 10^4 (move the decimal point 4 places to the left)

17. What is the slope of a vertical line?

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18. Evaluate (4^3)^2
C = 2(pi)r
A reflection about the origin.
4096
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

19. 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)]?
True
3 - -3
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
N! / (k!)(n-k)!

20. What is the absolute value function?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
G(x) = {x}

21. What is a set with no members called?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
2.592 kg
The empty set - denoted by a circle with a diagonal through it.
N! / (n-k)!

22. What are the integers?
All numbers multiples of 1.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
5
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

23. A number is divisible by 4 is...
Members or elements
Its last two digits are divisible by 4.
2 & 3/7
52

24. 10<all primes<20
11 - 13 - 17 - 19
Yes. [i.e. f(x) = x^2 - 1
The set of elements which can be found in either A or B.
61 - 67

25. Formula to calculate arc length?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
C = (pi)d
Divide by 100.
A set with a number of elements which can be counted.

26. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
N! / (n-k)!
12! / 5!7! = 792
The steeper the slope.
III

27. When the 'a' in the parabola is negative...
90
The curve opens downward and the vertex is the maximum point on the graph.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
A tangent is a line that only touches one point on the circumference of a circle.

28. x^6 / x^3
x(x - y + 1)
2(pi)r^2 + 2(pi)rh
I
x^(6-3) = x^3

29. In a regular polygon with n sides - the formula for the sum of interior angles
130pi
12.5%
(n-2) x 180
Diameter(Pi)

30. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
$3 -500 in the 9% and $2 -500 in the 7%.
12! / 5!7! = 792
1
$11 -448

31. Max and Min lengths for a side of a triangle?
2^9 / 2 = 256
The third side is greater than the difference and less than the sum.
5 OR -5
10! / 3!(10-3)! = 120

32. What is the graph of f(x) shifted right c units or spaces?
Members or elements
The curve opens upward and the vertex is the minimal point on the graph.
F(x-c)
70

33. What is the formula for compounded interest?
3sqrt4
(base*height) / 2
83.333%
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.

34. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
III
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)
9 & 6/7
8

35. How many sides does a hexagon have?
1
6
(amount of increase/original price) x 100%
No - the input value has exactly one output.

36. Legs 6 - 8. Hypotenuse?
... the square of the ratios of the corresponding sides.
Angle/360 x 2(pi)r
70
10

37. What are the rational numbers?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
A grouping of the members within a set based on a shared characteristic.
The sum of its digits is divisible by 3.
3

38. 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?
87.5%
A circle centered on the origin with radius 8.
18
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

39. What is the 'domain' of a function?
The set of input values for a function.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
3sqrt4
288 (8 9 4)

40. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
(a + b)^2
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)
I
441000 = 1 10 10 10 21 * 21

41. 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?
Part = Percent X Whole
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...
500
Divide by 100.

42. To convert a decimal to a percent...
Two equal sides and two equal angles.
Relationship cannot be determined (what if x is negative?)
x(x - y + 1)
...multiply by 100.

43. 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?
The point of intersection of the systems.
A circle centered at -2 - -2 with radius 3.
180 degrees
2.592 kg

44. What is a parabola?
A set with no members - denoted by a circle with a diagonal through it.
The longest arc between points A and B on a circle'S diameter.
4096
Ax^2 + bx + c where a -b and c are constants and a /=0

45. (-1)^2 =
Even
6
(a + b)^2
1

46. x^4 + x^7 =
x^(4+7) = x^11
The curve opens downward and the vertex is the maximum point on the graph.
1 & 37/132
Area of the base X height = (pi)hr^2

47. Is 0 even or odd?
y = (x + 5)/2
The objects within a set.
An expression with just one term (-6x - 2a^2)
Even

48. 1/8 in percent?
1
12.5%
The point of intersection of the systems.
1.7

49. Number of degrees in a triangle
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Move the decimal point to the right x places
180
1

50. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
11 - 13 - 17 - 19
N! / (k!)(n-k)!
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.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.