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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. Formula of rectangle where l increases by 20% and w decreases by 20%
x= (1.2)(.8)lw
IV
500
0

2. x^2 = 9. What is the value of x?
3 - -3
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The empty set - denoted by a circle with a diagonal through it.
A chord is a line segment joining two points on a circle.

3. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
The union of A and B.
1
Two equal sides and two equal angles.

4. What is the name for a grouping of the members within a set based on a shared characteristic?
The objects within a set.
A subset.
71 - 73 - 79
(amount of decrease/original price) x 100%

5. What are congruent triangles?
The sum of digits is divisible by 9.
Ax^2 + bx + c where a -b and c are constants and a /=0
288 (8 9 4)
Triangles with same measure and same side lengths.

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?
90
12.5%
500
The direction of the inequality is reversed.

7. What are the smallest three prime numbers greater than 65?
83.333%
10! / (10-3)! = 720
52
67 - 71 - 73

8. What is the 'Restricted domain of a function'?
8
The curve opens upward and the vertex is the minimal point on the graph.
71 - 73 - 79
When the function is not defined for all real numbers -; only a subset of the real numbers.

9. 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)]?
True
All numbers multiples of 1.
A central angle is an angle formed by 2 radii.
130pi

10. Formula for the area of a circle?
12.5%
1 & 37/132
A = pi(r^2)
2^9 / 2 = 256

11. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
Undefined
70
1:sqrt3:2
Arc length = (n/360) x pi(2r) where n is the number of degrees.

12. A number is divisible by 6 if...
An isosceles right triangle.
Its divisible by 2 and by 3.
A circle centered at -2 - -2 with radius 3.
The objects within a set.

13. Describe the relationship between the graphs of x^2 and (1/2)x^2
The second graph is less steep.
F(x) + c
Angle/360 x 2(pi)r
Angle/360 x (pi)r^2

14. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
3 - -3
A circle centered at -2 - -2 with radius 3.
II
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

15. What is an isoceles triangle?
Two equal sides and two equal angles.
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
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Undefined - because we can'T divide by 0.

16. In a regular polygon with n sides - the formula for the sum of interior angles
The curve opens downward and the vertex is the maximum point on the graph.
0
Two angles whose sum is 180.
(n-2) x 180

17. 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?
Yes. [i.e. f(x) = x^2 - 1
48
12! / 5!7! = 792
An expression with just one term (-6x - 2a^2)

18. 10<all primes<20
A circle centered on the origin with radius 8.
3/2 - 5/3
11 - 13 - 17 - 19
The set of output values for a function.

19. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
71 - 73 - 79
16.6666%
(p + q)/5

20. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
8
1
Members or elements

21. What is the graph of f(x) shifted upward c units or spaces?
(a + b)^2
No - the input value has exactly one output.
An angle which is supplementary to an interior angle.
F(x) + c

22. What is the 'Range' of a series of numbers?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
5 OR -5
72
The greatest value minus the smallest.

23. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
The set of elements which can be found in either A or B.
28. n = 8 - k = 2. n! / k!(n-k)!
1.7
500

24. (12sqrt15) / (2sqrt5) =
1/(x^y)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Indeterminable.
53 - 59

25. What is a parabola?
Its divisible by 2 and by 3.
Ax^2 + bx + c where a -b and c are constants and a /=0
Sqrt 12
(p + q)/5

26. How many 3-digit positive integers are even and do not contain the digit 4?
Its last two digits are divisible by 4.
Factors are few - multiples are many.
288 (8 9 4)
The third side is greater than the difference and less than the sum.

27. How many sides does a hexagon have?
31 - 37
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
500
6

28. Simplify (a^2 + b)^2 - (a^2 - b)^2
13
2
75:11
4a^2(b)

29. 0^0
Undefined
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
8
12.5%

30. How to find the diagonal of a rectangular solid?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
1.0843 X 10^11
90 degrees
18

31. x^4 + x^7 =
61 - 67
F(x) - c
10
x^(4+7) = x^11

32. (-1)^2 =
180
5 OR -5
The curve opens downward and the vertex is the maximum point on the graph.
1

33. What is the set of elements found in both A and B?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
The interesection of A and B.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

34. Formula to calculate arc length?
$3 -500 in the 9% and $2 -500 in the 7%.
The empty set - denoted by a circle with a diagonal through it.
Area of the base X height = (pi)hr^2
Arc length = (n/360) x pi(2r) where n is the number of degrees.

35. What are the roots of the quadrinomial x^2 + 2x + 1?
37.5%
The union of A and B.
The two xes after factoring.
75:11

36. What is the ratio of the sides of an isosceles right triangle?
180 degrees
1:1:sqrt2
N! / (n-k)!
I

37. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
7 / 1000
$3 -500 in the 9% and $2 -500 in the 7%.
1:sqrt3:2
The curve opens downward and the vertex is the maximum point on the graph.

38. The number of degrees in the largest angle of a triangle inscribed in a circle - in which the diameter of the circle is one side of the triangle.
288 (8 9 4)
90 degrees
16.6666%
Ax^2 + bx + c where a -b and c are constants and a /=0

39. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2
The curve opens upward and the vertex is the minimal point on the graph.
$11 -448
The direction of the inequality is reversed.

40. 70 < all primes< 80
The interesection of A and B.
The longest arc between points A and B on a circle'S diameter.
71 - 73 - 79
52

41. The ratio of the areas of two similar polygons is ...
An expression with just one term (-6x - 2a^2)
The second graph is less steep.
(a + b)^2
... the square of the ratios of the corresponding sides.

42. When the 'a' in a parabola is positive....
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
x(x - y + 1)
The curve opens upward and the vertex is the minimal point on the graph.
The third side is greater than the difference and less than the sum.

43. What is a tangent?
180 degrees
8
(a + b)^2
A tangent is a line that only touches one point on the circumference of a circle.

44. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The second graph is less steep.
The curve opens upward and the vertex is the minimal point on the graph.
13pi / 2

45. What are the integers?
All numbers multiples of 1.
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
90pi
37.5%

46. When does a function automatically have a restricted domain (2)?
70
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
A 30-60-90 triangle.
Members or elements

47. What is a central angle?
A central angle is an angle formed by 2 radii.
The set of elements which can be found in either A or B.
x= (1.2)(.8)lw
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

48. 3/8 in percent?
37.5%
I
130pi
Relationship cannot be determined (what if x is negative?)

49. 60 < all primes <70
Sector area = (n/360) X (pi)r^2
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)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
61 - 67

50. What is a piecewise equation?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
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.
Two equal sides and two equal angles.
288 (8 9 4)

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GRE Math: Common Errors

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