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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.
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. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
F(x) + c
The steeper the slope.
4.25 - 6 - 22
The second graph is less steep.

2. Which quadrant is the lower left hand?
1
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
III
A reflection about the axis.

3. What are congruent triangles?
Triangles with same measure and same side lengths.
A set with no members - denoted by a circle with a diagonal through it.
F(x + c)
The two xes after factoring.

4. P and r are factors of 100. What is greater - pr or 100?
1
Indeterminable.
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)
2.592 kg

5. Simplify the expression (p^2 - q^2)/ -5(q - p)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
(p + q)/5
Sqrt 12
10

6. The objects in a set are called two names:
x^(6-3) = x^3
Members or elements
A = pi(r^2)
10

7. Formula for the area of a sector of a circle?
Diameter(Pi)
The curve opens upward and the vertex is the minimal point on the graph.
12! / 5!7! = 792
Sector area = (n/360) X (pi)r^2

8. (a^-1)/a^5
Two angles whose sum is 180.
1/a^6
(a + b)^2
75:11

9. Evaluate 3& 2/7 / 1/3
Relationship cannot be determined (what if x is negative?)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
5 OR -5
9 & 6/7

10. What is a parabola?
Ax^2 + bx + c where a -b and c are constants and a /=0
The union of A and B.
90pi
Yes - like radicals can be added/subtracted.

11. A number is divisible by 4 is...
1
Factors are few - multiples are many.
Its last two digits are divisible by 4.
C = (pi)d

12. What is a central angle?
6
52
4725
A central angle is an angle formed by 2 radii.

13. 4.809 X 10^7 =
90 degrees
1:sqrt3:2
.0004809 X 10^11
A = I (1 + rt)

14. The larger the absolute value of the slope...
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The steeper the slope.
1.7
The greatest value minus the smallest.

15. 70 < all primes< 80
71 - 73 - 79
12sqrt2
A reflection about the axis.
Its divisible by 2 and by 3.

16. 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?
48
(n-2) x 180
9 : 25
1

17. How many sides does a hexagon have?
2
6
A circle centered at -2 - -2 with radius 3.
The union of A and B.

18. What are complementary angles?
70
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Two angles whose sum is 90.
A circle centered at -2 - -2 with radius 3.

19. What percent of 40 is 22?
55%
The greatest value minus the smallest.
The point of intersection of the systems.
$3 -500 in the 9% and $2 -500 in the 7%.

20. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
70
An isosceles right triangle.
Indeterminable.
(a + b)^2

21. What does the graph x^2 + y^2 = 64 look like?
A circle centered on the origin with radius 8.
The longest arc between points A and B on a circle'S diameter.
41 - 43 - 47
(a - b)(a + b)

22. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
I
A circle centered at -2 - -2 with radius 3.
4a^2(b)

23. What is the 'Restricted domain of a function'?
7 / 1000
When the function is not defined for all real numbers -; only a subset of the real numbers.
1
x= (1.2)(.8)lw

24. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
Undefined
Diameter(Pi)
N! / (n-k)!
1:1:sqrt2

25. Can you simplify sqrt72?
62.5%
x^(2(4)) =x^8 = (x^4)^2
x^(6-3) = x^3
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

26. 1/2 divided by 3/7 is the same as
1/2 times 7/3
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
500
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

27. 40 < all primes<50
The sum of digits is divisible by 9.
1 & 37/132
41 - 43 - 47
The set of elements found in both A and B.

28. Which is greater? 27^(-4) or 9^(-8)
Members or elements
27^(-4)
1
Indeterminable.

29. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
413.03 / 10^4 (move the decimal point 4 places to the left)
62.5%
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

30. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
A reflection about the origin.
Sqrt 12
IV
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

31. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
A 30-60-90 triangle.
(amount of decrease/original price) x 100%
2 & 3/7
13

32. The perimeter of a square is 48 inches. The length of its diagonal is:
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
12sqrt2
From northeast - counterclockwise. I - II - III - IV
31 - 37

33. Legs 5 - 12. Hypotenuse?
52
28. n = 8 - k = 2. n! / k!(n-k)!
A circle centered on the origin with radius 8.
13

34. How to find the circumference of a circle which circumscribes a square?
0
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The set of input values for a function.
Sector area = (n/360) X (pi)r^2

35. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
7 / 1000
(b + c)
90

36. x^(-y)=
1/(x^y)
3sqrt4
F(x) + c
70

37. What is the 'union' of A and B?
37.5%
The set of elements which can be found in either A or B.
A central angle is an angle formed by 2 radii.
No - only like radicals can be added.

38. What is a minor arc?
The shortest arc between points A and B on a circle'S diameter.
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)
An isosceles right triangle.
(p + q)/5

39. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
Divide by 100.
The union of A and B.
4:5
(a - b)(a + b)

40. To multiply a number by 10^x
The overlapping sections.
4.25 - 6 - 22
11 - 13 - 17 - 19
Move the decimal point to the right x places

41. What is a chord of a circle?
4a^2(b)
18
A chord is a line segment joining two points on a circle.
Two angles whose sum is 90.

42. 60 < all primes <70
Relationship cannot be determined (what if x is negative?)
61 - 67
The shortest arc between points A and B on a circle'S diameter.
The two xes after factoring.

43. What is the slope of a vertical line?
Undefined - because we can'T divide by 0.
A subset.
The point of intersection of the systems.
The set of output values for a function.

44. Which is greater? 200x^295 or 10x^294?
1/2 times 7/3
Relationship cannot be determined (what if x is negative?)
11 - 13 - 17 - 19
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

45. Can you add sqrt 3 and sqrt 5?
$11 -448
6
180
No - only like radicals can be added.

46. What is the 'domain' of a function?
71 - 73 - 79
A reflection about the axis.
F(x) + c
The set of input values for a function.

47. Can you subtract 3sqrt4 from sqrt4?
18
.0004809 X 10^11
67 - 71 - 73
Yes - like radicals can be added/subtracted.

48. What is the formula for computing simple interest?
A = I (1 + rt)
12.5%
(a - b)(a + b)
An infinite set.

49. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
2^9 / 2 = 256
x(x - y + 1)
The curve opens downward and the vertex is the maximum point on the graph.
The sum of digits is divisible by 9.

50. Define an 'expression'.
9 & 6/7
180
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)

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