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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. What is the absolute value function?
4096
G(x) = {x}
4725
11 - 13 - 17 - 19

2. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
180
$3 -500 in the 9% and $2 -500 in the 7%.
Angle/360 x (pi)r^2
67 - 71 - 73

3. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
Move the decimal point to the right x places
The set of elements which can be found in either A or B.

4. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Sqrt 12
The curve opens downward and the vertex is the maximum point on the graph.

5. P and r are factors of 100. What is greater - pr or 100?
27^(-4)
Indeterminable.
2 & 3/7
55%

6. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
(a - b)(a + b)
The sum of its digits is divisible by 3.
An isosceles right triangle.
90

7. What are the integers?
y = (x + 5)/2
All numbers multiples of 1.
441000 = 1 10 10 10 21 * 21
16.6666%

8. When the 'a' in the parabola is negative...
The objects within a set.
13
27^(-4)
The curve opens downward and the vertex is the maximum point on the graph.

9. What is the set of elements found in both A and B?
4a^2(b)
The interesection of A and B.
10! / 3!(10-3)! = 120
Even

10. What is a chord of a circle?
Infinite.
F(x) - c
The overlapping sections.
A chord is a line segment joining two points on a circle.

11. What are the members or elements of a set?
75:11
F(x) + c
18
The objects within a set.

12. 2sqrt4 + sqrt4 =
3sqrt4
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)
Even
Angle/360 x 2(pi)r

13. 413.03 x 10^(-4) =
413.03 / 10^4 (move the decimal point 4 places to the left)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
4:5

14. 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.
1.7
$11 -448
A reflection about the axis.

15. 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.
Area of the base X height = (pi)hr^2
83.333%
The direction of the inequality is reversed.
90 degrees

16. How to find the diagonal of a rectangular solid?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
0
1 & 37/132
2.592 kg

17. Which quandrant is the lower right hand?
x^(6-3) = x^3
IV
10! / 3!(10-3)! = 120
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

18. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
180
13
18
75:11

19. What is the ratio of the sides of a 30-60-90 triangle?
x^(2(4)) =x^8 = (x^4)^2
6
1:sqrt3:2
5 OR -5

20. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
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.
A circle centered at -2 - -2 with radius 3.
Undefined
The union of A and B.

21. What is a central angle?
A central angle is an angle formed by 2 radii.
The empty set - denoted by a circle with a diagonal through it.
C = (pi)d
x(x - y + 1)

22. How to determine percent increase?
The third side is greater than the difference and less than the sum.
(amount of increase/original price) x 100%
7 / 1000
A = pi(r^2)

23. Define a 'Term' -
3 - -3
2 & 3/7
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)
28. n = 8 - k = 2. n! / k!(n-k)!

24. How many 3-digit positive integers are even and do not contain the digit 4?
... the square of the ratios of the corresponding sides.
288 (8 9 4)
(amount of increase/original price) x 100%
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

25. Legs 6 - 8. Hypotenuse?
41 - 43 - 47
A reflection about the axis.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
10

26. What is an exterior angle?
The point of intersection of the systems.
1
28. n = 8 - k = 2. n! / k!(n-k)!
An angle which is supplementary to an interior angle.

27. Surface area for a cylinder?
2(pi)r^2 + 2(pi)rh
83.333%
9 & 6/7
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)

28. x^(-y)=
62.5%
1/(x^y)
500
18

29. 50 < all primes< 60
4725
4096
13pi / 2
53 - 59

30. A number is divisible by 6 if...
Its divisible by 2 and by 3.
F(x + c)
12.5%
1/2 times 7/3

31. How many multiples does a given number have?
Infinite.
Two angles whose sum is 180.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
A tangent is a line that only touches one point on the circumference of a circle.

32. Simplify (a^2 + b)^2 - (a^2 - b)^2
The point of intersection of the systems.
The curve opens downward and the vertex is the maximum point on the graph.
4a^2(b)
1/a^6

33. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
Undefined
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
A central angle is an angle formed by 2 radii.
13pi / 2

34. What are the irrational numbers?

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35. 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?
16.6666%
1 & 37/132
The overlapping sections.
500

36. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
.0004809 X 10^11
Sector area = (n/360) X (pi)r^2
12! / 5!7! = 792
2 & 3/7

37. How to determine percent decrease?
Angle/360 x (pi)r^2
(amount of decrease/original price) x 100%
3/2 - 5/3
The set of input values for a function.

38. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
A = pi(r^2)
.0004809 X 10^11
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
70

39. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
C = 2(pi)r
1/a^6
18
3

40. x^4 + x^7 =
x^(4+7) = x^11
18
180 degrees
2sqrt6

41. 8.84 / 5.2
1.7
Relationship cannot be determined (what if x is negative?)
61 - 67
The steeper the slope.

42. Length of an arc of a circle?
The point of intersection of the systems.
The second graph is less steep.
Angle/360 x 2(pi)r
10! / (10-3)! = 720

43. a^2 - 2ab + b^2
The set of elements found in both A and B.
4725
Ax^2 + bx + c where a -b and c are constants and a /=0
(a - b)^2

44. a^0 =
F(x-c)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
A = pi(r^2)
1

45. Formula to calculate arc length?
4.25 - 6 - 22
12sqrt2
Arc length = (n/360) x pi(2r) where n is the number of degrees.
1/a^6

46. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
3 - -3
62.5%
4:5
37.5%

47. What does the graph x^2 + y^2 = 64 look like?
Relationship cannot be determined (what if x is negative?)
A circle centered on the origin with radius 8.
Infinite.
2(pi)r^2 + 2(pi)rh

48. Write 10 -843 X 10^7 in scientific notation
4a^2(b)
180 degrees
1.0843 X 10^11
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

49. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
$3 -500 in the 9% and $2 -500 in the 7%.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
37.5%
1

50. Convert 0.7% to a fraction.
An angle which is supplementary to an interior angle.
7 / 1000
1 & 37/132
3/2 - 5/3