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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.
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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. A number is divisible by 4 is...
Its last two digits are divisible by 4.
A central angle is an angle formed by 2 radii.
62.5%
(a - b)^2

2. Legs: 3 - 4. Hypotenuse?
5
Sector area = (n/360) X (pi)r^2
6
87.5%

3. Can the output value of a function have more than one input value?
No - only like radicals can be added.
Yes. [i.e. f(x) = x^2 - 1
52
1:sqrt3:2

4. Formula of rectangle where l increases by 20% and w decreases by 20%
Angle/360 x (pi)r^2
x= (1.2)(.8)lw
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
The overlapping sections.

5. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
2sqrt6
The set of elements found in both A and B.
N! / (n-k)!

6. How many 3-digit positive integers are even and do not contain the digit 4?
x= (1.2)(.8)lw
288 (8 9 4)
N! / (n-k)!
An expression with just one term (-6x - 2a^2)

7. What is the formula for computing simple interest?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
(amount of increase/original price) x 100%
A = I (1 + rt)
(n-2) x 180

8. 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
0
18
II
441000 = 1 10 10 10 21 * 21

9. When the 'a' in a parabola is positive....
62.5%
The curve opens upward and the vertex is the minimal point on the graph.
Cd
The set of elements which can be found in either A or B.

10. 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?
83.333%
48
When the function is not defined for all real numbers -; only a subset of the real numbers.
C = 2(pi)r

11. What is the graph of f(x) shifted downward c units or spaces?
Lies opposite the greater angle
F(x) - c
3sqrt4
The union of A and B.

12. What is a minor arc?

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13. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
6
441000 = 1 10 10 10 21 * 21
3 - -3
2sqrt6

14. What are the integers?
The set of elements which can be found in either A or B.
Sqrt 12
Undefined
All numbers multiples of 1.

15. Which quadrant is the lower left hand?
.0004809 X 10^11
4a^2(b)
III
28. n = 8 - k = 2. n! / k!(n-k)!

16. What is the 'union' of A and B?
The set of elements which can be found in either A or B.
N! / (n-k)!
(a - b)^2
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

17. What does the graph x^2 + y^2 = 64 look like?
Lies opposite the greater angle
.0004809 X 10^11
A circle centered on the origin with radius 8.
1

18. a^2 - b^2 =
1
2
(amount of increase/original price) x 100%
(a - b)(a + b)

19. 5/6 in percent?
A circle centered on the origin with radius 8.
13
83.333%
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

20. Which is greater? 200x^295 or 10x^294?
The longest arc between points A and B on a circle'S diameter.
72
N! / (n-k)!
Relationship cannot be determined (what if x is negative?)

21. In a regular polygon with n sides - the formula for the sum of interior angles
The sum of digits is divisible by 9.
27^(-4)
(a + b)^2
(n-2) x 180

22. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
IV
Area of the base X height = (pi)hr^2
41 - 43 - 47

23. Can you simplify sqrt72?
$11 -448
1 & 37/132
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
0

24. What is the 'Restricted domain of a function'?
G(x) = {x}
6
When the function is not defined for all real numbers -; only a subset of the real numbers.
1

25. x^2 = 9. What is the value of x?
F(x) + c
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Area of the base X height = (pi)hr^2
3 - -3

26. 5x^2 - 35x -55 = 0
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
2.592 kg
4096
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

27. What is the set of elements found in both A and B?
1
The interesection of A and B.
180
Undefined

28. What is the maximum value for the function g(x) = (-2x^2) -1?
90pi
1
67 - 71 - 73
The objects within a set.

29. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
70
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The set of input values for a function.
Angle/360 x (pi)r^2

30. A number is divisible by 3 if ...
C = (pi)d
4725
(p + q)/5
The sum of its digits is divisible by 3.

31. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
No - only like radicals can be added.
10
Angle/360 x 2(pi)r

32. What are the irrational numbers?

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33. Area of a triangle?
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)
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Part = Percent X Whole
(base*height) / 2

34. What is a central angle?
A circle centered at -2 - -2 with radius 3.
12! / 5!7! = 792
7 / 1000
A central angle is an angle formed by 2 radii.

35. What is the 'Solution' for a system of linear equations?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The point of intersection of the systems.
Lies opposite the greater angle
When the function is not defined for all real numbers -; only a subset of the real numbers.

36. Max and Min lengths for a side of a triangle?
(n-2) x 180
Divide by 100.
The third side is greater than the difference and less than the sum.
A = I (1 + rt)

37. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
The direction of the inequality is reversed.
1:sqrt3:2
The shortest arc between points A and B on a circle'S diameter.
2 & 3/7

38. What is a set with no members called?
130pi
The empty set - denoted by a circle with a diagonal through it.
Two equal sides and two equal angles.
20.5

39. What does scientific notation mean?
The third side is greater than the difference and less than the sum.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
28. n = 8 - k = 2. n! / k!(n-k)!
Part = Percent X Whole

40. What is a subset?
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...
5
A grouping of the members within a set based on a shared characteristic.
An expression with just one term (-6x - 2a^2)

41. Define an 'expression'.
2 & 3/7
Undefined
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)
13pi / 2

42. 30< all primes<40
(amount of decrease/original price) x 100%
x^(2(4)) =x^8 = (x^4)^2
31 - 37
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)

43. What are congruent triangles?
90 degrees
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Triangles with same measure and same side lengths.
5 OR -5

44. Circumference of a circle?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
Move the decimal point to the right x places
Diameter(Pi)
x(x - y + 1)

45. What is the 'Solution' for a set of inequalities.
(amount of decrease/original price) x 100%
28. n = 8 - k = 2. n! / k!(n-k)!
20.5
The overlapping sections.

46. 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?
Angle/360 x 2(pi)r
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...
2^9 / 2 = 256
9 : 25

47. To multiply a number by 10^x
Move the decimal point to the right x places
The shortest arc between points A and B on a circle'S diameter.
52
The third side is greater than the difference and less than the sum.

48. x^(-y)=
72
x= (1.2)(.8)lw
Sqrt 12
1/(x^y)

49. 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?
Yes. [i.e. f(x) = x^2 - 1
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
1.0843 X 10^11
y = 2x^2 - 3

50. 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))?
Triangles with same measure and same side lengths.
10! / (10-3)! = 720
Angle/360 x 2(pi)r
20.5

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GRE Math: Common Errors

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