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GRE Math: Common Errors

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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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. P and r are factors of 100. What is greater - pr or 100?
1
C = (pi)d
Indeterminable.
The set of output values for a function.

2. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
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)
1
A = pi(r^2)
A reflection about the axis.

3. Convert 0.7% to a fraction.
12.5%
7 / 1000
An expression with just one term (-6x - 2a^2)
III

4. What is the name of set with a number of elements which cannot be counted?
Even
An infinite set.
A grouping of the members within a set based on a shared characteristic.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

5. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
413.03 / 10^4 (move the decimal point 4 places to the left)
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
2

6. Which quandrant is the lower right hand?
413.03 / 10^4 (move the decimal point 4 places to the left)
IV
2 & 3/7
A reflection about the origin.

7. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
A circle centered on the origin with radius 8.
9 : 25
1/a^6

8. Evaluate 4/11 + 11/12
A circle centered on the origin with radius 8.
1
72
1 & 37/132

9. Describe the relationship between 3x^2 and 3(x - 1)^2
$11 -448
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
0
28. n = 8 - k = 2. n! / k!(n-k)!

10. 2sqrt4 + sqrt4 =
Factors are few - multiples are many.
(amount of decrease/original price) x 100%
53 - 59
3sqrt4

11. What is a finite set?
F(x) + c
(amount of increase/original price) x 100%
A subset.
A set with a number of elements which can be counted.

12. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
1.7
4:5
(p + q)/5
All numbers multiples of 1.

13. (6sqrt3) x (2sqrt5) =
3
C = 2(pi)r
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
An expression with just one term (-6x - 2a^2)

14. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
A chord is a line segment joining two points on a circle.
70
1/2 times 7/3
Triangles with same measure and same side lengths.

15. What is the set of elements found in both A and B?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
1
Undefined
The interesection of A and B.

16. When does a function automatically have a restricted domain (2)?
Pi is the ratio of a circle'S circumference to its diameter.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
1 & 37/132

17. Evaluate 3& 2/7 / 1/3
The sum of its digits is divisible by 3.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
9 & 6/7
An infinite set.

18. (-1)^3 =
1.7
x(x - y + 1)
A set with no members - denoted by a circle with a diagonal through it.
1

19. To multiply a number by 10^x
Move the decimal point to the right x places
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
2(pi)r^2 + 2(pi)rh
Pi is the ratio of a circle'S circumference to its diameter.

20. 5/8 in percent?
Two angles whose sum is 90.
62.5%
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
1

21. What is the graph of f(x) shifted upward c units or spaces?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
(b + c)
F(x) + c
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)

22. How many multiples does a given number have?
An angle which is supplementary to an interior angle.
12.5%
Infinite.
1.7

23. 7/8 in percent?
87.5%
An isosceles right triangle.
The set of output values for a function.
4:5

24. The larger the absolute value of the slope...
1
The steeper the slope.
Relationship cannot be determined (what if x is negative?)
$11 -448

25. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
N! / (n-k)!
(a - b)(a + b)
10! / 3!(10-3)! = 120
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

26. Which is greater? 200x^295 or 10x^294?
The set of input values for a function.
7 / 1000
288 (8 9 4)
Relationship cannot be determined (what if x is negative?)

27. 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
1.7
II
1

28. What does the graph x^2 + y^2 = 64 look like?
4a^2(b)
A circle centered on the origin with radius 8.
(n-2) x 180
A = I (1 + rt)

29. What is the formula for computing simple interest?
13pi / 2
Its divisible by 2 and by 3.
16.6666%
A = I (1 + rt)

30. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
The point of intersection of the systems.
A tangent is a line that only touches one point on the circumference of a circle.
8
N! / (k!)(n-k)!

31. What percent of 40 is 22?
12! / 5!7! = 792
55%
48
A grouping of the members within a set based on a shared characteristic.

32. Formula to calculate arc length?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Cd
The set of input values for a function.
12! / 5!7! = 792

33. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
4725
2sqrt6
5 OR -5
83.333%

34. Can you simplify sqrt72?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
23 - 29
(p + q)/5
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

35. 3/8 in percent?
37.5%
(amount of increase/original price) x 100%
10
31 - 37

36. Formula to find a circle'S circumference from its diameter?
A = I (1 + rt)
10! / (10-3)! = 720
(base*height) / 2
C = (pi)d

37. What is the empty set?
180
A grouping of the members within a set based on a shared characteristic.
413.03 / 10^4 (move the decimal point 4 places to the left)
A set with no members - denoted by a circle with a diagonal through it.

38. What is the slope of a vertical line?

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39. Whats the difference between factors and multiples?
Sector area = (n/360) X (pi)r^2
Members or elements
Factors are few - multiples are many.
4:5

40. Define a 'Term' -
Sqrt 12
Ax^2 + bx + c where a -b and c are constants and a /=0
IV
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)

41. Define an 'expression'.
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)
... the square of the ratios of the corresponding sides.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
6 : 1 : 2

42. Simplify the expression (p^2 - q^2)/ -5(q - p)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
(p + q)/5
4725
x= (1.2)(.8)lw

43. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
90 degrees
90pi
(amount of decrease/original price) x 100%

44. 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?
Its last two digits are divisible by 4.
N! / (n-k)!
x(x - y + 1)
The set of input values for a function.

45. A number is divisible by 3 if ...
The sum of its digits is divisible by 3.
5
28. n = 8 - k = 2. n! / k!(n-k)!
1:1:sqrt2

46. Area of a triangle?
From northeast - counterclockwise. I - II - III - IV
F(x + c)
(base*height) / 2
Undefined

47. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
No - the input value has exactly one output.
The set of output values for a function.
Its divisible by 2 and by 3.

48. Find the surface area of a cylinder with radius 3 and height 12.
(a + b)^2
$3 -500 in the 9% and $2 -500 in the 7%.
90pi
9 & 6/7

49. 5x^2 - 35x -55 = 0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Its negative reciprocal. (-b/a)
C = (pi)d
(n-2) x 180

50. What is the 'union' of A and B?
The set of elements which can be found in either A or B.
A chord is a line segment joining two points on a circle.
62.5%
x(x - y + 1)

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GRE Math: Common Errors

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