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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. The perimeter of a square is 48 inches. The length of its diagonal is:
$11 -448
12sqrt2
37.5%
Angle/360 x (pi)r^2

2. Length of an arc of a circle?
The second graph is less steep.
10! / 3!(10-3)! = 120
The curve opens upward and the vertex is the minimal point on the graph.
Angle/360 x 2(pi)r

3. 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?
x= (1.2)(.8)lw
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
55%
$3 -500 in the 9% and $2 -500 in the 7%.

4. (a^-1)/a^5
1/a^6
13pi / 2
83.333%
(a - b)(a + b)

5. What is the ratio of the sides of an isosceles right triangle?
All numbers multiples of 1.
1:1:sqrt2
(a + b)^2
The shortest arc between points A and B on a circle'S diameter.

6. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
An arc is a portion of a circumference of a circle.
31 - 37
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
A 30-60-90 triangle.

7. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
Triangles with same measure and same side lengths.
An angle which is supplementary to an interior angle.
Its divisible by 2 and by 3.

8. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
288 (8 9 4)
The objects within a set.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

9. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
The second graph is less steep.
The shortest arc between points A and B on a circle'S diameter.
(amount of decrease/original price) x 100%

10. What is the formula for computing simple interest?
28. n = 8 - k = 2. n! / k!(n-k)!
The two xes after factoring.
The interesection of A and B.
A = I (1 + rt)

11. When the 'a' in a parabola is positive....
12! / 5!7! = 792
Indeterminable.
The curve opens upward and the vertex is the minimal point on the graph.
11 - 13 - 17 - 19

12. When the 'a' in the parabola is negative...
72
The curve opens downward and the vertex is the maximum point on the graph.
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.
10! / (10-3)! = 720

13. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
A reflection about the origin.
All numbers multiples of 1.
A 30-60-90 triangle.
Area of the base X height = (pi)hr^2

14. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
2^9 / 2 = 256
61 - 67
A set with no members - denoted by a circle with a diagonal through it.
The set of elements which can be found in either A or B.

15. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
.0004809 X 10^11
N! / (n-k)!
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
2sqrt6

16. What is a parabola?
Indeterminable.
Ax^2 + bx + c where a -b and c are constants and a /=0
(amount of decrease/original price) x 100%
2(pi)r^2 + 2(pi)rh

17. What is the 'domain' of a function?
Sqrt 12
Cd
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The set of input values for a function.

18. What is the name of set with a number of elements which cannot be counted?
3/2 - 5/3
IV
(a + b)^2
An infinite set.

19. Volume for a cylinder?
Area of the base X height = (pi)hr^2
The two xes after factoring.
The set of elements found in both A and B.
Part = Percent X Whole

20. Area of a triangle?
4a^2(b)
10! / 3!(10-3)! = 120
(base*height) / 2
An angle which is supplementary to an interior angle.

21. 5/6 in percent?
F(x-c)
A reflection about the origin.
83.333%
The interesection of A and B.

22. 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)!
The point of intersection of the systems.
37.5%
2

23. Evaluate 3& 2/7 / 1/3
x(x - y + 1)
2 & 3/7
10! / 3!(10-3)! = 120
9 & 6/7

24. What is the order of operations?
A = I (1 + rt)
28. n = 8 - k = 2. n! / k!(n-k)!
12sqrt2
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

25. If the two sides of a triangle are unequal then the longer side...
No - only like radicals can be added.
(p + q)/5
8
Lies opposite the greater angle

26. In a regular polygon with n sides - the formula for the sum of interior angles
1.7
4725
(n-2) x 180
The interesection of A and B.

27. (-1)^2 =
1
Divide by 100.
3
Its divisible by 2 and by 3.

28. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
1
True
A reflection about the origin.
Cd

29. Pi is a ratio of what to what?

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30. What does the graph x^2 + y^2 = 64 look like?
A circle centered on the origin with radius 8.
11 - 13 - 17 - 19
(amount of increase/original price) x 100%
(n-2) x 180

31. 6w^2 - w - 15 = 0
Two equal sides and two equal angles.
1:1:sqrt2
The sum of digits is divisible by 9.
3/2 - 5/3

32. Which quandrant is the lower right hand?
Undefined - because we can'T divide by 0.
IV
When the function is not defined for all real numbers -; only a subset of the real numbers.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

33. Formula of rectangle where l increases by 20% and w decreases by 20%
Undefined - because we can'T divide by 0.
x= (1.2)(.8)lw
2.592 kg
1

34. What is the ratio of the sides of a 30-60-90 triangle?
The sum of digits is divisible by 9.
...multiply by 100.
1:sqrt3:2
10! / 3!(10-3)! = 120

35. A number is divisible by 6 if...
12! / 5!7! = 792
413.03 / 10^4 (move the decimal point 4 places to the left)
1:sqrt3:2
Its divisible by 2 and by 3.

36. 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 = I (1 + rt)
0
Sector area = (n/360) X (pi)r^2
A circle centered on the origin with radius 8.

37. What does scientific notation mean?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Move the decimal point to the right x places
180 degrees
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.

38. How to determine percent decrease?
72
(amount of decrease/original price) x 100%
180
27^(-4)

39. 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.
Indeterminable.
90 degrees
1
71 - 73 - 79

40. What is the absolute value function?
72
9 & 6/7
1/a^6
G(x) = {x}

41. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
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)
Undefined - because we can'T divide by 0.
Yes - like radicals can be added/subtracted.
8

42. 5x^2 - 35x -55 = 0
x^(2(4)) =x^8 = (x^4)^2
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
The set of output values for a function.
The empty set - denoted by a circle with a diagonal through it.

43. Is 0 even or odd?
Even
1
The steeper the slope.
3

44. What is the graph of f(x) shifted downward c units or spaces?
9 : 25
F(x) - c
...multiply by 100.
The two xes after factoring.

45. What is the name for a grouping of the members within a set based on a shared characteristic?
(a + b)^2
1 & 37/132
A subset.
75:11

46. 8.84 / 5.2
413.03 / 10^4 (move the decimal point 4 places to the left)
The greatest value minus the smallest.
The interesection of A and B.
1.7

47. What are the smallest three prime numbers greater than 65?
90 degrees
90pi
The union of A and B.
67 - 71 - 73

48. 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?
72
500
4096
C = 2(pi)r

49. Legs 5 - 12. Hypotenuse?
Angle/360 x 2(pi)r
13
The union of A and B.
18

50. What is a chord of a circle?
A chord is a line segment joining two points on a circle.
9 & 6/7
288 (8 9 4)
Its negative reciprocal. (-b/a)