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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. Legs 5 - 12. Hypotenuse?
The point of intersection of the systems.
2sqrt6
True
13

2. 50 < all primes< 60
413.03 / 10^4 (move the decimal point 4 places to the left)
9 & 6/7
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
53 - 59

3. What is the graph of f(x) shifted upward c units or spaces?
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 steeper the slope.
(a + b)^2
F(x) + c

4. 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?
N! / (k!)(n-k)!
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
441000 = 1 10 10 10 21 * 21
1

5. 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.
90 degrees
.0004809 X 10^11
6
Its negative reciprocal. (-b/a)

6. What is the 'Restricted domain of a function'?
Triangles with same measure and same side lengths.
90 degrees
F(x-c)
When the function is not defined for all real numbers -; only a subset of the real numbers.

7. Evaluate 4/11 + 11/12
The point of intersection of the systems.
1 & 37/132
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
62.5%

8. 7/8 in percent?
90
87.5%
Factors are few - multiples are many.
F(x-c)

9. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
2^9 / 2 = 256
Area of the base X height = (pi)hr^2
An expression with just one term (-6x - 2a^2)
1

10. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
The shortest arc between points A and B on a circle'S diameter.
... the square of the ratios of the corresponding sides.
62.5%
2

11. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
12sqrt2
75:11
From northeast - counterclockwise. I - II - III - IV

12. a^0 =
Two angles whose sum is 90.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
A = I (1 + rt)
1

13. To convert a decimal to a percent...
The set of elements which can be found in either A or B.
Members or elements
...multiply by 100.
The curve opens upward and the vertex is the minimal point on the graph.

14. Circumference of a circle?
Its last two digits are divisible by 4.
A = pi(r^2)
A circle centered on the origin with radius 8.
Diameter(Pi)

15. Volume for a cylinder?
All numbers multiples of 1.
Area of the base X height = (pi)hr^2
20.5
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

16. How to find the circumference of a circle which circumscribes a square?
41 - 43 - 47
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Members or elements
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

17. What is a parabola?
90
180
Ax^2 + bx + c where a -b and c are constants and a /=0
83.333%

18. 5/6 in percent?
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)
413.03 / 10^4 (move the decimal point 4 places to the left)
90pi
83.333%

19. The perimeter of a square is 48 inches. The length of its diagonal is:
12sqrt2
90pi
An isosceles right triangle.
y = (x + 5)/2

20. 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+ sqrt93) /2] - [(7 - sqrt93) / 2]
18
Its last two digits are divisible by 4.
61 - 67

21. When the 'a' in the parabola is negative...
The curve opens downward and the vertex is the maximum point on the graph.
A grouping of the members within a set based on a shared characteristic.
18
Yes. [i.e. f(x) = x^2 - 1

22. Max and Min lengths for a side of a triangle?
The third side is greater than the difference and less than the sum.
2
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
When the function is not defined for all real numbers -; only a subset of the real numbers.

23. What are complementary angles?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Undefined - because we can'T divide by 0.
Two angles whose sum is 90.
Angle/360 x (pi)r^2

24. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
55%
12sqrt2
1
9 : 25

25. What is the 'domain' of a function?
Undefined
The set of input values for a function.
1/2 times 7/3
4096

26. Which is greater? 200x^295 or 10x^294?
500
Relationship cannot be determined (what if x is negative?)
1:sqrt3:2
Its divisible by 2 and by 3.

27. Factor x^2 - xy + x.
Part = Percent X Whole
x(x - y + 1)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
...multiply by 100.

28. Convert 0.7% to a fraction.
Area of the base X height = (pi)hr^2
1.7
7 / 1000
4:5

29. What is a minor arc?

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30. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
x^(4+7) = x^11
8
The objects within a set.

31. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
The two xes after factoring.
3/2 - 5/3
A reflection about the origin.

32. Find the surface area of a cylinder with radius 3 and height 12.
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.
90pi
1:sqrt3:2
No - only like radicals can be added.

33. 3/8 in percent?
52
Angle/360 x (pi)r^2
37.5%
90 degrees

34. 20<all primes<30
F(x) - c
The third side is greater than the difference and less than the sum.
(a + b)^2
23 - 29

35. 0^0
4725
$11 -448
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Undefined

36. What is a finite set?
N! / (k!)(n-k)!
A set with a number of elements which can be counted.
4096
An expression with just one term (-6x - 2a^2)

37. What is the ratio of the sides of an isosceles right triangle?
1:1:sqrt2
1.7
61 - 67
The point of intersection of the systems.

38. What is the name of set with a number of elements which cannot be counted?
x= (1.2)(.8)lw
180
An infinite set.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

39. What is the empty set?
1 & 37/132
288 (8 9 4)
A set with no members - denoted by a circle with a diagonal through it.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

40. Can the input value of a function have more than one output value (i.e. x: y - y1)?
20.5
No - the input value has exactly one output.
No - only like radicals can be added.
(p + q)/5

41. What is the maximum value for the function g(x) = (-2x^2) -1?
The set of elements which can be found in either A or B.
1
13pi / 2
37.5%

42. What are congruent triangles?
(a + b)^2
Triangles with same measure and same side lengths.
An isosceles right triangle.
The set of output values for a function.

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?
2.592 kg
No - the input value has exactly one output.
83.333%
A subset.

44. What is the 'union' of A and B?
True
All numbers multiples of 1.
G(x) = {x}
The set of elements which can be found in either A or B.

45. 10^6 has how many zeroes?
90pi
6
...multiply by 100.
$11 -448

46. Formula for the area of a circle?
413.03 / 10^4 (move the decimal point 4 places to the left)
A = pi(r^2)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Relationship cannot be determined (what if x is negative?)

47. a^2 - 2ab + b^2
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
(a - b)^2
Arc length = (n/360) x pi(2r) where n is the number of degrees.
N! / (k!)(n-k)!

48. What is the formula for compounded interest?
A tangent is a line that only touches one point on the circumference of a circle.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
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.
Cd

49. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
1:1:sqrt2
28. n = 8 - k = 2. n! / k!(n-k)!
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

50. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
90pi
A reflection about the axis.
The empty set - denoted by a circle with a diagonal through it.
Undefined