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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. Define a 'monomial'
The curve opens downward and the vertex is the maximum point on the graph.
III
The set of output values for a function.
An expression with just one term (-6x - 2a^2)

2. What are complementary angles?
10
y = (x + 5)/2
Two angles whose sum is 90.
A = I (1 + rt)

3. What is a parabola?
Ax^2 + bx + c where a -b and c are constants and a /=0
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
1
Relationship cannot be determined (what if x is negative?)

4. What is a set with no members called?
Even
The empty set - denoted by a circle with a diagonal through it.
Pi is the ratio of a circle'S circumference to its diameter.
2sqrt6

5. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
48
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
An arc is a portion of a circumference of a circle.
55%

6. Formula to find a circle'S circumference from its radius?
67 - 71 - 73
Factors are few - multiples are many.
C = 2(pi)r
12! / 5!7! = 792

7. What is a central angle?
A central angle is an angle formed by 2 radii.
Triangles with same measure and same side lengths.
Yes - like radicals can be added/subtracted.
3

8. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
70
1
180 degrees
87.5%

9. A number is divisible by 4 is...
From northeast - counterclockwise. I - II - III - IV
4a^2(b)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Its last two digits are divisible by 4.

10. When the 'a' in the parabola is negative...
A = pi(r^2)
87.5%
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.

11. Simplify 9^(1/2) X 4^3 X 2^(-6)?
3/2 - 5/3
3
I
Angle/360 x (pi)r^2

12. Factor x^2 - xy + x.
Triangles with same measure and same side lengths.
72
F(x) + c
x(x - y + 1)

13. What is the ratio of the sides of an isosceles right triangle?
1:1:sqrt2
A tangent is a line that only touches one point on the circumference of a circle.
8
3/2 - 5/3

14. 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?
75:11
Move the decimal point to the right x places
4096
...multiply by 100.

15. x^4 + x^7 =
x^(4+7) = x^11
Angle/360 x (pi)r^2
83.333%
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

16. How to find the circumference of a circle which circumscribes a square?
The point of intersection of the systems.
(amount of decrease/original price) x 100%
Sqrt 12
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

17. Define an 'expression'.
Infinite.
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)
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 central angle is an angle formed by 2 radii.

18. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
1
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
3
9 & 6/7

19. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
2sqrt6
y = 2x^2 - 3
61 - 67
4:5

20. Length of an arc of a circle?
... the square of the ratios of the corresponding sides.
Angle/360 x 2(pi)r
II
Angle/360 x (pi)r^2

21. How to determine percent increase?
Two angles whose sum is 180.
(amount of decrease/original price) x 100%
(amount of increase/original price) x 100%
C = 2(pi)r

22. Order of quadrants:
The longest arc between points A and B on a circle'S diameter.
From northeast - counterclockwise. I - II - III - IV
20.5
53 - 59

23. 5/8 in percent?
62.5%
x(x - y + 1)
1 & 37/132
Undefined - because we can'T divide by 0.

24. What are 'Supplementary angles?'
y = 2x^2 - 3
Two angles whose sum is 180.
1/a^6
...multiply by 100.

25. What is the measure of an exterior angle of a regular pentagon?
The longest arc between points A and B on a circle'S diameter.
(n-2) x 180
72
The set of elements which can be found in either A or B.

26. 50 < all primes< 60
13
6
53 - 59
The direction of the inequality is reversed.

27. x^(-y)=
1/(x^y)
2(pi)r^2 + 2(pi)rh
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
18

28. Legs: 3 - 4. Hypotenuse?
5
x(x - y + 1)
4.25 - 6 - 22
Indeterminable.

29. What number between 70 & 75 - inclusive - has the greatest number of factors?
The curve opens downward and the vertex is the maximum point on the graph.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
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)
72

30. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
1:1:sqrt2
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
y = (x + 5)/2
The longest arc between points A and B on a circle'S diameter.

31. Is 0 even or odd?
Area of the base X height = (pi)hr^2
Two angles whose sum is 90.
Even
.0004809 X 10^11

32. 7/8 in percent?
87.5%
Its negative reciprocal. (-b/a)
All numbers multiples of 1.
20.5

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?
2.592 kg
II
180
(amount of decrease/original price) x 100%

34. What is the percent formula?
Undefined - because we can'T divide by 0.
F(x) + c
Relationship cannot be determined (what if x is negative?)
Part = Percent X Whole

35. 6w^2 - w - 15 = 0
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
(n-2) x 180
3/2 - 5/3
Two angles whose sum is 90.

36. 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?
Diameter(Pi)
441000 = 1 10 10 10 21 * 21
Arc length = (n/360) x pi(2r) where n is the number of degrees.
12.5%

37. The objects in a set are called two names:
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Members or elements
288 (8 9 4)

38. Which quadrant is the upper right hand?
10! / 3!(10-3)! = 120
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
I
(a + b)^2

39. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
9 & 6/7
1
2.592 kg
5 OR -5

40. Can the input value of a function have more than one output value (i.e. x: y - y1)?
No - the input value has exactly one output.
y = 2x^2 - 3
F(x-c)
1

41. Describe the relationship between the graphs of x^2 and (1/2)x^2
1
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The second graph is less steep.

42. Solve the quadratic equation ax^2 + bx + c= 0
From northeast - counterclockwise. I - II - III - IV
1:sqrt3:2
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Ax^2 + bx + c where a -b and c are constants and a /=0

43. How to find the area of a sector?
Angle/360 x (pi)r^2
Its negative reciprocal. (-b/a)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
5

44. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
I
90pi
No - only like radicals can be added.
4:5

45. 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
10! / 3!(10-3)! = 120
18
Indeterminable.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

46. 1/2 divided by 3/7 is the same as
(a + b)^2
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
1/2 times 7/3
x^(4+7) = x^11

47. What is the intersection of A and B?
The set of elements found in both A and B.
1
IV
4a^2(b)

48. Pi is a ratio of what to what?

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49. What is a chord of a circle?
An angle which is supplementary to an interior angle.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
A chord is a line segment joining two points on a circle.
441000 = 1 10 10 10 21 * 21

50. What is the ratio of the sides of a 30-60-90 triangle?
1:sqrt3:2
Part = Percent X Whole
An infinite 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.