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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. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
2sqrt6
The shortest arc between points A and B on a circle'S diameter.
Yes. [i.e. f(x) = x^2 - 1
y = (x + 5)/2

2. P and r are factors of 100. What is greater - pr or 100?
A = I (1 + rt)
Move the decimal point to the right x places
Indeterminable.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

3. To convert a percent to a fraction....
Divide by 100.
55%
9 & 6/7
1.7

4. What are 'Supplementary angles?'
The direction of the inequality is reversed.
1
1
Two angles whose sum is 180.

5. The perimeter of a square is 48 inches. The length of its diagonal is:
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)
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
12sqrt2
4a^2(b)

6. Formula to calculate arc length?
6
The sum of digits is divisible by 9.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The set of elements found in both A and B.

7. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
True
9 : 25
.0004809 X 10^11
8

8. 1/8 in percent?
III
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
3/2 - 5/3
12.5%

9. 413.03 x 10^(-4) =
Undefined - because we can'T divide by 0.
4a^2(b)
23 - 29
413.03 / 10^4 (move the decimal point 4 places to the left)

10. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1
4:5
Cd
9 & 6/7

11. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
12.5%
N! / (k!)(n-k)!
x(x - y + 1)
The two xes after factoring.

12. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
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)
(amount of decrease/original price) x 100%
61 - 67
2^9 / 2 = 256

13. What percent of 40 is 22?
The objects within a set.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
An infinite set.
55%

14. Simplify 9^(1/2) X 4^3 X 2^(-6)?
(b + c)
3
90pi
Two angles whose sum is 180.

15. How to find the diagonal of a rectangular solid?
75:11
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
71 - 73 - 79

16. Simplify the expression (p^2 - q^2)/ -5(q - p)
10! / (10-3)! = 720
41 - 43 - 47
13
(p + q)/5

17. Describe the relationship between the graphs of x^2 and (1/2)x^2
87.5%
The second graph is less steep.
A = I (1 + rt)
x^(6-3) = x^3

18. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
6 : 1 : 2
1/a^6
A reflection about the axis.
$11 -448

19. How many sides does a hexagon have?
A grouping of the members within a set based on a shared characteristic.
48
x^(4+7) = x^11
6

20. Which is greater? 64^5 or 16^8
288 (8 9 4)
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Relationship cannot be determined (what if x is negative?)
500

21. Evaluate 3& 2/7 / 1/3
The point of intersection of the systems.
The set of input values for a function.
Undefined - because we can'T divide by 0.
9 & 6/7

22. 5/8 in percent?
2.592 kg
8
62.5%
(a + b)^2

23. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
4:5
28. n = 8 - k = 2. n! / k!(n-k)!
All numbers multiples of 1.
72

24. What is a finite set?
A set with a number of elements which can be counted.
No - only like radicals can be added.
3/2 - 5/3
288 (8 9 4)

25. Convert 0.7% to a fraction.
23 - 29
0
7 / 1000
Pi is the ratio of a circle'S circumference to its diameter.

26. What is the set of elements found in both A and B?
The interesection of A and B.
Angle/360 x (pi)r^2
41 - 43 - 47
When the function is not defined for all real numbers -; only a subset of the real numbers.

27. What number between 70 & 75 - inclusive - has the greatest number of factors?
The overlapping sections.
27^(-4)
72
2

28. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
67 - 71 - 73
F(x-c)
A circle centered at -2 - -2 with radius 3.
1/2 times 7/3

29. Find the surface area of a cylinder with radius 3 and height 12.
90pi
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
4096
28. n = 8 - k = 2. n! / k!(n-k)!

30. Simplify (a^2 + b)^2 - (a^2 - b)^2
(a + b)^2
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
Its divisible by 2 and by 3.
4a^2(b)

31. What is the ratio of the sides of a 30-60-90 triangle?
Cd
1:sqrt3:2
(p + q)/5
(a - b)^2

32. 1/6 in percent?
16.6666%
11 - 13 - 17 - 19
Arc length = (n/360) x pi(2r) where n is the number of degrees.
2.592 kg

33. The larger the absolute value of the slope...
The steeper the slope.
55%
Ax^2 + bx + c where a -b and c are constants and a /=0
Diameter(Pi)

34. The slope of a line perpendicular to (a/b)?
The set of elements found in both A and B.
Its negative reciprocal. (-b/a)
A reflection about the axis.
1

35. Pi is a ratio of what to what?

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36. What are the irrational numbers?

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37. 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
7 / 1000
18
Yes. [i.e. f(x) = x^2 - 1
1

38. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
Pi is the ratio of a circle'S circumference to its diameter.
A 30-60-90 triangle.
A reflection about the origin.
87.5%

39. 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?
10! / 3!(10-3)! = 120
Relationship cannot be determined (what if x is negative?)
A reflection about the origin.
2.592 kg

40. 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 set of output values for a function.
Part = Percent X Whole
500
61 - 67

41. x^4 + x^7 =
The second graph is less steep.
x^(4+7) = x^11
(a - b)(a + b)
Triangles with same measure and same side lengths.

42. Can the output value of a function have more than one input value?
... the square of the ratios of the corresponding sides.
Yes. [i.e. f(x) = x^2 - 1
70
(base*height) / 2

43. What does scientific notation mean?
53 - 59
Two equal sides and two equal angles.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
(n-2) x 180

44. Legs 6 - 8. Hypotenuse?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
3/2 - 5/3
18
10

45. (a^-1)/a^5
1/a^6
(a + b)^2
The shortest arc between points A and B on a circle'S diameter.
The greatest value minus the smallest.

46. Factor x^2 - xy + x.
x(x - y + 1)
True
0
The interesection of A and B.

47. What are the members or elements of a set?
500
Relationship cannot be determined (what if x is negative?)
The objects within a set.
Ax^2 + bx + c where a -b and c are constants and a /=0

48. What is the 'Restricted domain of a function'?
Even
A reflection about the origin.
The interesection of A and B.
When the function is not defined for all real numbers -; only a subset of the real numbers.

49. How many multiples does a given number have?
72
All numbers multiples of 1.
Infinite.
87.5%

50. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
An angle which is supplementary to an interior angle.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.