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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. 25^(1/2) or sqrt. 25 =
8
F(x + c)
(a + b)^2
5 OR -5

2. What is the intersection of A and B?
Its divisible by 2 and by 3.
An angle which is supplementary to an interior angle.
The set of elements found in both A and B.
3 - -3

3. A number is divisible by 6 if...
The direction of the inequality is reversed.
The curve opens upward and the vertex is the minimal point on the graph.
Its divisible by 2 and by 3.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

4. 50 < all primes< 60
53 - 59
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.
67 - 71 - 73
A set with no members - denoted by a circle with a diagonal through it.

5. What is the formula for compounded interest?
(a - b)(a + b)
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.
12.5%
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

6. Formula of rectangle where l increases by 20% and w decreases by 20%
The curve opens upward and the vertex is the minimal point on the graph.
y = (x + 5)/2
x= (1.2)(.8)lw
The greatest value minus the smallest.

7. Legs 6 - 8. Hypotenuse?
The two xes after factoring.
10
F(x) + c
1/a^6

8. 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?
I
83.333%
70
75:11

9. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
...multiply by 100.
180
Factors are few - multiples are many.
4725

10. What is the graph of f(x) shifted right c units or spaces?
1
(n-2) x 180
The steeper the slope.
F(x-c)

11. What is the graph of f(x) shifted left c units or spaces?
...multiply by 100.
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...
The overlapping sections.
F(x + c)

12. 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?
True
An infinite set.
1.0843 X 10^11
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

13. What is the 'Range' of a series of numbers?
A reflection about the axis.
The greatest value minus the smallest.
Its divisible by 2 and by 3.
No - the input value has exactly one output.

14. What is the graph of f(x) shifted downward c units or spaces?
9 : 25
A = I (1 + rt)
F(x) - c
Undefined

15. The perimeter of a square is 48 inches. The length of its diagonal is:
...multiply by 100.
0
12sqrt2
Sqrt 12

16. The larger the absolute value of the slope...
Sector area = (n/360) X (pi)r^2
The steeper the slope.
1
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

17. What are complementary angles?
Two angles whose sum is 90.
3/2 - 5/3
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Infinite.

18. What does the graph x^2 + y^2 = 64 look like?
A circle centered on the origin with radius 8.
71 - 73 - 79
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...
$11 -448

19. What is the slope of a horizontal line?
0
3
2.592 kg
No - only like radicals can be added.

20. Factor a^2 + 2ab + b^2
(a + b)^2
72
1:sqrt3:2
F(x-c)

21. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
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...
A chord is a line segment joining two points on a circle.
3sqrt4

22. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
Arc length = (n/360) x pi(2r) where n is the number of degrees.
7 / 1000
28. n = 8 - k = 2. n! / k!(n-k)!
0

23. Whats the difference between factors and multiples?
Undefined
Factors are few - multiples are many.
An infinite set.
9 & 6/7

24. Can the input value of a function have more than one output value (i.e. x: y - y1)?
2.592 kg
Its divisible by 2 and by 3.
The shortest arc between points A and B on a circle'S diameter.
No - the input value has exactly one output.

25. What is a set with no members called?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Its negative reciprocal. (-b/a)
The empty set - denoted by a circle with a diagonal through it.
13pi / 2

26. 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))?
20.5
90 degrees
A grouping of the members within a set based on a shared characteristic.
The sum of its digits is divisible by 3.

27. 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?
The union of A and B.
Area of the base X height = (pi)hr^2
9 : 25
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

28. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
(base*height) / 2
When the function is not defined for all real numbers -; only a subset of the real numbers.

29. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
Two angles whose sum is 180.
4:5
All numbers multiples of 1.
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)

30. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1/2 times 7/3
x^(4+7) = x^11
4:5
1

31. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
288 (8 9 4)
13pi / 2
F(x + c)
1

32. 1/8 in percent?
12.5%
Sqrt 12
1
Two angles whose sum is 90.

33. 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?
90 degrees
28. n = 8 - k = 2. n! / k!(n-k)!
67 - 71 - 73
2.592 kg

34. What is a central angle?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
9 : 25
3sqrt4
A central angle is an angle formed by 2 radii.

35. Evaluate 4/11 + 11/12
70
When the function is not defined for all real numbers -; only a subset of the real numbers.
$11 -448
1 & 37/132

36. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
(amount of increase/original price) x 100%
0
90pi

37. To convert a percent to a fraction....
18
Two equal sides and two equal angles.
C = (pi)d
Divide by 100.

38. What is the 'Solution' for a set of inequalities.
The overlapping sections.
3
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

39. What is a finite set?
C = 2(pi)r
1
A set with a number of elements which can be counted.
An arc is a portion of a circumference of a circle.

40. How to determine percent decrease?
(amount of decrease/original price) x 100%
The set of elements found in both A and B.
3sqrt4
x(x - y + 1)

41. Evaluate (4^3)^2
70
4096
31 - 37
The second graph is less steep.

42. What are the members or elements of a set?
Part = Percent X Whole
The objects within a set.
61 - 67
F(x) - c

43. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
83.333%
12sqrt2
6 : 1 : 2
4.25 - 6 - 22

44. What is the 'union' of A and B?
Yes. [i.e. f(x) = x^2 - 1
The set of elements which can be found in either A or B.
Yes - like radicals can be added/subtracted.
48

45. How to find the area of a sector?
(amount of decrease/original price) x 100%
5 OR -5
Angle/360 x (pi)r^2
3/2 - 5/3

46. P and r are factors of 100. What is greater - pr or 100?
1
The curve opens downward and the vertex is the maximum point on the graph.
N! / (n-k)!
Indeterminable.

47. What is the slope of a vertical line?

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48. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
1
Diameter(Pi)
72
2sqrt6

49. What percent of 40 is 22?
The set of elements found in both A and B.
55%
41 - 43 - 47
4a^2(b)

50. 1/6 in percent?
180
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)
A circle centered on the origin with radius 8.
16.6666%