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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. What is the graph of f(x) shifted left c units or spaces?
When the function is not defined for all real numbers -; only a subset of the real numbers.
90pi
The direction of the inequality is reversed.
F(x + c)

2. What is a parabola?
A = pi(r^2)
Sqrt 12
Ax^2 + bx + c where a -b and c are constants and a /=0
An expression with just one term (-6x - 2a^2)

3. A number is divisible by 6 if...
1
Factors are few - multiples are many.
500
Its divisible by 2 and by 3.

4. 8.84 / 5.2
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)
A subset.
1.7
(p + q)/5

5. What is the ratio of the sides of an isosceles right triangle?
1:1:sqrt2
11 - 13 - 17 - 19
y = 2x^2 - 3
12sqrt2

6. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
Move the decimal point to the right x places
500
A set with no members - denoted by a circle with a diagonal through it.
70

7. Order of quadrants:
From northeast - counterclockwise. I - II - III - IV
413.03 / 10^4 (move the decimal point 4 places to the left)
N! / (n-k)!
1

8. What is an exterior angle?
13pi / 2
x^(6-3) = x^3
F(x-c)
An angle which is supplementary to an interior angle.

9. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
37.5%
41 - 43 - 47
72

10. What is the surface area of a cylinder with radius 5 and height 8?
130pi
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
F(x) + c
10

11. What is the graph of f(x) shifted right c units or spaces?
C = 2(pi)r
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
F(x-c)
Two angles whose sum is 90.

12. The perimeter of a square is 48 inches. The length of its diagonal is:
The point of intersection of the systems.
The set of input values for a function.
1
12sqrt2

13. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
1.7
Its divisible by 2 and by 3.
180 degrees

14. What is the intersection of A and B?
3
The set of elements found in both A and B.
An isosceles right triangle.
28. n = 8 - k = 2. n! / k!(n-k)!

15. Factor a^2 + 2ab + b^2
1
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
(a + b)^2
Move the decimal point to the right x places

16. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
(n-2) x 180
A central angle is an angle formed by 2 radii.
12! / 5!7! = 792
288 (8 9 4)

17. 10^6 has how many zeroes?
6
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)
$11 -448
(base*height) / 2

18. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
N! / (k!)(n-k)!
F(x) - c
A subset.
Move the decimal point to the right x places

19. P and r are factors of 100. What is greater - pr or 100?
12sqrt2
Indeterminable.
The curve opens upward and the vertex is the minimal point on the graph.
x^(2(4)) =x^8 = (x^4)^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
C = (pi)d
18
1/(x^y)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

21. Legs 5 - 12. Hypotenuse?
(b + c)
13
Angle/360 x (pi)r^2
A = I (1 + rt)

22. Circumference of a circle?
Yes - like radicals can be added/subtracted.
The greatest value minus the smallest.
Diameter(Pi)
y = 2x^2 - 3

23. How many sides does a hexagon have?
2sqrt6
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
20.5
6

24. Is 0 even or odd?
18
A 30-60-90 triangle.
Even
I

25. Length of an arc of a circle?
500
Angle/360 x 2(pi)r
3
28. n = 8 - k = 2. n! / k!(n-k)!

26. Which quadrant is the lower left hand?
0
61 - 67
III
9 : 25

27. What is a central angle?
41 - 43 - 47
A central angle is an angle formed by 2 radii.
12.5%
A set with a number of elements which can be counted.

28. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
Part = Percent X Whole
1
Angle/360 x 2(pi)r
3

29. What is the ratio of the sides of a 30-60-90 triangle?
The set of output values for a function.
Move the decimal point to the right x places
y = 2x^2 - 3
1:sqrt3:2

30. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
$3 -500 in the 9% and $2 -500 in the 7%.
4:5
10! / (10-3)! = 720
Indeterminable.

31. What is a minor arc?

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32. 50 < all primes< 60
Part = Percent X Whole
13
2.592 kg
53 - 59

33. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
11 - 13 - 17 - 19
Members or elements
90
x^(6-3) = x^3

34. What are the members or elements of a set?
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.
An isosceles right triangle.
The objects within a set.
11 - 13 - 17 - 19

35. What is a set with no members called?
$3 -500 in the 9% and $2 -500 in the 7%.
(amount of decrease/original price) x 100%
(a + b)^2
The empty set - denoted by a circle with a diagonal through it.

36. Can the input value of a function have more than one output value (i.e. x: y - y1)?
I
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
No - the input value has exactly one output.
x^(6-3) = x^3

37. Evaluate (4^3)^2
4096
(b + c)
2sqrt6
Yes. [i.e. f(x) = x^2 - 1

38. (12sqrt15) / (2sqrt5) =
A subset.
12.5%
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

39. What is a subset?
1
A grouping of the members within a set based on a shared characteristic.
The steeper the slope.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

40. Convert 0.7% to a fraction.
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)
1.7
1.0843 X 10^11
7 / 1000

41. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1
71 - 73 - 79
The interesection of A and B.
Its negative reciprocal. (-b/a)

42. What are the roots of the quadrinomial x^2 + 2x + 1?
Angle/360 x 2(pi)r
A circle centered on the origin with radius 8.
2 & 3/7
The two xes after factoring.

43. x^6 / x^3
x^(6-3) = x^3
83.333%
Angle/360 x (pi)r^2
4096

44. What is the graph of f(x) shifted upward c units or spaces?
F(x) + c
The steeper the slope.
67 - 71 - 73
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)

45. Which quadrant is the upper left hand?
23 - 29
II
67 - 71 - 73
Two equal sides and two equal angles.

46. What is a tangent?
A tangent is a line that only touches one point on the circumference of a circle.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The shortest arc between points A and B on a circle'S diameter.
The interesection of A and B.

47. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
Sqrt 12
x^(4+7) = x^11
(a + b)^2
10! / (10-3)! = 720

48. What is the 'Solution' for a set of inequalities.
1:1:sqrt2
75:11
The overlapping sections.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

49. a^2 + 2ab + b^2
(a + b)^2
62.5%
4725
A set with no members - denoted by a circle with a diagonal through it.

50. 70 < all primes< 80
Area of the base X height = (pi)hr^2
71 - 73 - 79
The third side is greater than the difference and less than the sum.
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.

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GRE Math: Common Errors

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