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GRE Math: Common Errors

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can study here.
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. The ratio of the areas of two similar polygons is ...
37.5%
... the square of the ratios of the corresponding sides.
An arc is a portion of a circumference of a circle.
F(x) - c

2. What percent of 40 is 22?
55%
x^(6-3) = x^3
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
41 - 43 - 47

3. A number is divisible by 6 if...
A circle centered at -2 - -2 with radius 3.
1:sqrt3:2
(amount of decrease/original price) x 100%
Its divisible by 2 and by 3.

4. Can the output value of a function have more than one input value?
N! / (k!)(n-k)!
A chord is a line segment joining two points on a circle.
Yes. [i.e. f(x) = x^2 - 1
1

5. What is the maximum value for the function g(x) = (-2x^2) -1?
The longest arc between points A and B on a circle'S diameter.
(amount of decrease/original price) x 100%
1
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

6. What are complementary angles?
Two angles whose sum is 90.
Two equal sides and two equal angles.
The steeper the slope.
Undefined - because we can'T divide by 0.

7. What is a minor arc?

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8. What is the ratio of the sides of a 30-60-90 triangle?
1:sqrt3:2
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
The overlapping sections.
4a^2(b)

9. What are the members or elements of a set?
1.0843 X 10^11
The objects within a set.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
A reflection about the axis.

10. 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.
The sum of its digits is divisible by 3.
130pi
90 degrees
Its last two digits are divisible by 4.

11. Factor x^2 - xy + x.
The empty set - denoted by a circle with a diagonal through it.
All the numbers on the number line (negative - rational - irrational - decimal - integer). All the numbers on the GRE are real. (-2 - 1 - .25 - 1/2 - pi)
x(x - y + 1)
C = (pi)d

12. How many 3-digit positive integers are even and do not contain the digit 4?
72
288 (8 9 4)
(p + q)/5
Move the decimal point to the right x places

13. Which is greater? 27^(-4) or 9^(-8)
... the square of the ratios of the corresponding sides.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
27^(-4)
(a + b)^2

14. 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?
5 OR -5
6
Members or elements
48

15. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
72
The curve opens downward and the vertex is the maximum point on the graph.
11 - 13 - 17 - 19

16. 40 < all primes<50
1/2 times 7/3
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
6
41 - 43 - 47

17. What does the graph x^2 + y^2 = 64 look like?
4.25 - 6 - 22
No - the input value has exactly one output.
4725
A circle centered on the origin with radius 8.

18. 7/8 in percent?
An angle which is supplementary to an interior angle.
87.5%
A = I (1 + rt)
The direction of the inequality is reversed.

19. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
75:11
90
A chord is a line segment joining two points on a circle.
55%

20. How to determine percent increase?
A tangent is a line that only touches one point on the circumference of a circle.
2
An expression with just one term (-6x - 2a^2)
(amount of increase/original price) x 100%

21. 50 < all primes< 60
1
1:1:sqrt2
53 - 59
61 - 67

22. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
Angle/360 x (pi)r^2
All numbers multiples of 1.
5

23. Circumference of a circle?
2(pi)r^2 + 2(pi)rh
y = (x + 5)/2
Diameter(Pi)
$3 -500 in the 9% and $2 -500 in the 7%.

24. 70 < all primes< 80
A subset.
y = 2x^2 - 3
23 - 29
71 - 73 - 79

25. What is the set of elements which can be found in either A or B?
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)
12! / 5!7! = 792
The union of A and B.
90 degrees

26. How many multiples does a given number have?
Infinite.
An isosceles right triangle.
The curve opens upward and the vertex is the minimal point on the graph.
The empty set - denoted by a circle with a diagonal through it.

27. Find the surface area of a cylinder with radius 3 and height 12.
90pi
(a - b)(a + b)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
55%

28. 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?
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)
1
10! / (10-3)! = 720

29. Can you simplify sqrt72?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
N! / (k!)(n-k)!
(a - b)^2

30. 0^0
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
Undefined
A 30-60-90 triangle.
(amount of decrease/original price) x 100%

31. What is the percent formula?
Part = Percent X Whole
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
A reflection about the axis.
The objects within a set.

32. What is the 'Restricted domain of a function'?
When the function is not defined for all real numbers -; only a subset of the real numbers.
Triangles with same measure and same side lengths.
61 - 67
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

33. Legs: 3 - 4. Hypotenuse?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
5
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Factors are few - multiples are many.

34. What are the smallest three prime numbers greater than 65?
The direction of the inequality is reversed.
... the square of the ratios of the corresponding sides.
67 - 71 - 73
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

35. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
1/(x^y)
The shortest arc between points A and B on a circle'S diameter.
180
4:5

36. 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?
$3 -500 in the 9% and $2 -500 in the 7%.
3
52
(a - b)(a + b)

37. What is the 'domain' of a function?
Sector area = (n/360) X (pi)r^2
5 OR -5
The set of input values for a function.
The direction of the inequality is reversed.

38. 10<all primes<20
16.6666%
The shortest arc between points A and B on a circle'S diameter.
10! / 3!(10-3)! = 120
11 - 13 - 17 - 19

39. Formula to find a circle'S circumference from its diameter?
23 - 29
II
Yes - like radicals can be added/subtracted.
C = (pi)d

40. 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))?
1.7
9 : 25
20.5
The overlapping sections.

41. 4.809 X 10^7 =
The sum of digits is divisible by 9.
Its divisible by 2 and by 3.
.0004809 X 10^11
2(pi)r^2 + 2(pi)rh

42. Simplify 9^(1/2) X 4^3 X 2^(-6)?
The steeper the slope.
4:5
The second graph is less steep.
3

43. Which is greater? 64^5 or 16^8
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
From northeast - counterclockwise. I - II - III - IV
7 / 1000
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

44. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
2 & 3/7
90 degrees
Cd

45. What is an exterior angle?
x^(6-3) = x^3
An angle which is supplementary to an interior angle.
180 degrees
20.5

46. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
F(x) + c
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
75:11
1/2 times 7/3

47. Can you subtract 3sqrt4 from sqrt4?
(a + b)^2
16.6666%
The greatest value minus the smallest.
Yes - like radicals can be added/subtracted.

48. What is the absolute value function?
x^(4+7) = x^11
62.5%
90pi
G(x) = {x}

49. The slope of a line perpendicular to (a/b)?
The second graph is less steep.
130pi
The longest arc between points A and B on a circle'S diameter.
Its negative reciprocal. (-b/a)

50. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
3
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Area of the base X height = (pi)hr^2
180