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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. 5/6 in percent?
A set with no members - denoted by a circle with a diagonal through it.
Yes - like radicals can be added/subtracted.
The two xes after factoring.
83.333%

2. What is the 'Range' of a function?
The set of output values for a function.
No - only like radicals can be added.
0
7 / 1000

3. (a^-1)/a^5
F(x-c)
9 : 25
1/a^6
The objects within a set.

4. When the 'a' in the parabola is negative...
N! / (n-k)!
67 - 71 - 73
The curve opens downward and the vertex is the maximum point on the graph.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

5. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
27^(-4)
A circle centered on the origin with radius 8.
10
70

6. Is 0 even or odd?
Even
The point of intersection of the systems.
12.5%
1:1:sqrt2

7. Solve the quadratic equation ax^2 + bx + c= 0
I
288 (8 9 4)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
The point of intersection of the systems.

8. Which quadrant is the upper left hand?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
II
Move the decimal point to the right x places
12sqrt2

9. Formula to calculate arc length?
A chord is a line segment joining two points on a circle.
F(x-c)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Arc length = (n/360) x pi(2r) where n is the number of degrees.

10. 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)?
4725
(base*height) / 2
The two xes after factoring.
y = (x + 5)/2

11. Can the input value of a function have more than one output value (i.e. x: y - y1)?
The interesection of A and B.
No - the input value has exactly one output.
12! / 5!7! = 792
Lies opposite the greater angle

12. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1
71 - 73 - 79
An infinite set.
67 - 71 - 73

13. What is an arc of a circle?
An arc is a portion of a circumference of a circle.
Relationship cannot be determined (what if x is negative?)
12sqrt2
x^(4+7) = x^11

14. Number of degrees in a triangle
0
Its last two digits are divisible by 4.
180
90 degrees

15. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
Diameter(Pi)
441000 = 1 10 10 10 21 * 21
True
53 - 59

16. What is the 'Solution' for a set of inequalities.
The overlapping sections.
70
10! / (10-3)! = 720
90pi

17. What is the absolute value function?
Indeterminable.
G(x) = {x}
(amount of increase/original price) x 100%
(a - b)(a + b)

18. Which is greater? 200x^295 or 10x^294?
Triangles with same measure and same side lengths.
67 - 71 - 73
Relationship cannot be determined (what if x is negative?)
True

19. What is a minor arc?

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20. Legs 5 - 12. Hypotenuse?
13
90 degrees
An infinite set.
(a - b)(a + b)

21. To convert a decimal to a percent...
Sector area = (n/360) X (pi)r^2
...multiply by 100.
2.592 kg
III

22. A number is divisible by 4 is...
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Its last two digits are divisible by 4.
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)
N! / (k!)(n-k)!

23. What is an exterior angle?
5
An angle which is supplementary to an interior angle.
Cd
The set of elements found in both A and B.

24. Define a 'monomial'
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
An expression with just one term (-6x - 2a^2)
72
37.5%

25. What is a central angle?
A central angle is an angle formed by 2 radii.
x^(4+7) = x^11
Undefined - because we can'T divide by 0.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

26. What is the surface area of a cylinder with radius 5 and height 8?
Two angles whose sum is 90.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
The direction of the inequality is reversed.
130pi

27. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
The set of input values for a function.
87.5%
52
1

28. x^2 = 9. What is the value of x?
3
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)
Its last two digits are divisible by 4.
3 - -3

29. What is the graph of f(x) shifted downward c units or spaces?
F(x) - c
A central angle is an angle formed by 2 radii.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
413.03 / 10^4 (move the decimal point 4 places to the left)

30. Can you simplify sqrt72?
Its divisible by 2 and by 3.
Angle/360 x 2(pi)r
1:sqrt3:2
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

31. 70 < all primes< 80
x^(6-3) = x^3
71 - 73 - 79
52
1

32. A number is divisible by 9 if...
x^(2(4)) =x^8 = (x^4)^2
The sum of digits is divisible by 9.
130pi
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

33. What is the maximum value for the function g(x) = (-2x^2) -1?
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.
1
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
6

34. What is the formula for compounded interest?
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.
The overlapping sections.
The set of output values for a function.
The shortest arc between points A and B on a circle'S diameter.

35. Simplify the expression (p^2 - q^2)/ -5(q - p)
20.5
9 & 6/7
(p + q)/5
The set of elements found in both A and B.

36. Can the output value of a function have more than one input value?
8
Yes. [i.e. f(x) = x^2 - 1
The greatest value minus the smallest.
(n-2) x 180

37. What are the roots of the quadrinomial x^2 + 2x + 1?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Indeterminable.
The two xes after factoring.
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...

38. How many multiples does a given number have?
Angle/360 x 2(pi)r
8
...multiply by 100.
Infinite.

39. What is the slope of a vertical line?

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40. a^2 - 2ab + b^2
(a - b)^2
x^(2(4)) =x^8 = (x^4)^2
(b + c)
N! / (n-k)!

41. What is the graph of f(x) shifted right c units or spaces?
0
F(x-c)
A 30-60-90 triangle.
Its last two digits are divisible by 4.

42. Which quadrant is the lower left hand?
III
1/2 times 7/3
Divide by 100.
No - only like radicals can be added.

43. What is a finite set?
180
A set with a number of elements which can be counted.
4.25 - 6 - 22
C = 2(pi)r

44. 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?
An expression with just one term (-6x - 2a^2)
90pi
2.592 kg
83.333%

45. What does the graph x^2 + y^2 = 64 look like?
x= (1.2)(.8)lw
Part = Percent X Whole
A circle centered on the origin with radius 8.
When the function is not defined for all real numbers -; only a subset of the real numbers.

46. How many sides does a hexagon have?
6
Arc length = (n/360) x pi(2r) where n is the number of degrees.
F(x) - c
53 - 59

47. What is the 'Restricted domain of a function'?
83.333%
Even
When the function is not defined for all real numbers -; only a subset of the real numbers.
2

48. What is the slope of a horizontal line?
(p + q)/5
IV
Divide by 100.
0

49. 20<all primes<30
Arc length = (n/360) x pi(2r) where n is the number of degrees.
23 - 29
The interesection of A and B.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

50. What is a chord of a circle?
3
The second graph is less steep.
A chord is a line segment joining two points on a circle.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

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GRE Math: Common Errors

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