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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. 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)]?
1
True
All numbers multiples of 1.
10

2. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
11 - 13 - 17 - 19
4096
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

3. What is the surface area of a cylinder with radius 5 and height 8?
N! / (k!)(n-k)!
An expression with just one term (-6x - 2a^2)
130pi
(a - b)^2

4. How to find the circumference of a circle which circumscribes a square?
1
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)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
An angle which is supplementary to an interior angle.

5. 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?
Pi is the ratio of a circle'S circumference to its diameter.
500
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
The set of input values for a function.

6. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
F(x-c)
90
Indeterminable.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

7. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
No - the input value has exactly one output.
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
13

8. 413.03 x 10^(-4) =
413.03 / 10^4 (move the decimal point 4 places to the left)
1
The third side is greater than the difference and less than the sum.
67 - 71 - 73

9. 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?
Divide by 100.
10! / (10-3)! = 720
1
y = 2x^2 - 3

10. (6sqrt3) x (2sqrt5) =
5
413.03 / 10^4 (move the decimal point 4 places to the left)
23 - 29
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

11. What is an isoceles triangle?
Two equal sides and two equal angles.
x(x - y + 1)
1
x^(2(4)) =x^8 = (x^4)^2

12. The objects in a set are called two names:
(p + q)/5
F(x) - c
Members or elements
y = (x + 5)/2

13. x^6 / x^3
... the square of the ratios of the corresponding sides.
x^(6-3) = x^3
2(pi)r^2 + 2(pi)rh
1/2 times 7/3

14. How to determine percent increase?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
6
(amount of increase/original price) x 100%
A reflection about the axis.

15. What is the graph of f(x) shifted upward c units or spaces?
F(x) + c
III
The third side is greater than the difference and less than the sum.
The point of intersection of the systems.

16. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
288 (8 9 4)
Triangles with same measure and same side lengths.
1/2 times 7/3
28. n = 8 - k = 2. n! / k!(n-k)!

17. Surface area for a cylinder?
The shortest arc between points A and B on a circle'S diameter.
The overlapping sections.
1/2 times 7/3
2(pi)r^2 + 2(pi)rh

18. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
23 - 29
Cd
1

19. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
1
N! / (n-k)!
8

20. 30< all primes<40
2^9 / 2 = 256
1/2 times 7/3
31 - 37
53 - 59

21. Which quadrant is the upper left hand?
II
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
1:1:sqrt2
Undefined - because we can'T divide by 0.

22. Describe the relationship between 3x^2 and 3(x - 1)^2
All numbers multiples of 1.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
1

23. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
...multiply by 100.
The sum of digits is divisible by 9.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

24. (-1)^2 =
90pi
1
Two equal sides and two equal angles.
0

25. Can you add sqrt 3 and sqrt 5?
(n-2) x 180
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
No - only like radicals can be added.
A 30-60-90 triangle.

26. 8.84 / 5.2
10
413.03 / 10^4 (move the decimal point 4 places to the left)
...multiply by 100.
1.7

27. Number of degrees in a triangle
No - the input value has exactly one output.
180
1/(x^y)
48

28. 60 < all primes <70
10
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
61 - 67
1/(x^y)

29. Whats the difference between factors and multiples?
Factors are few - multiples are many.
III
23 - 29
An isosceles right triangle.

30. 4.809 X 10^7 =
.0004809 X 10^11
67 - 71 - 73
The point of intersection of the systems.
A chord is a line segment joining two points on a circle.

31. What is the set of elements found in both A and B?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
1
The interesection of A and B.

32. 1/6 in percent?
16.6666%
1
72
Cd

33. Factor x^2 - xy + x.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
x(x - y + 1)
1.7

34. How to find the area of a sector?
23 - 29
Angle/360 x (pi)r^2
87.5%
2.592 kg

35. 5x^2 - 35x -55 = 0
F(x) - c
1/2 times 7/3
x^(2(4)) =x^8 = (x^4)^2
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

36. Pi is a ratio of what to what?

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37. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
12! / 5!7! = 792
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)
F(x-c)
y = 2x^2 - 3

38. Factor a^2 + 2ab + b^2
180 degrees
1 & 37/132
(a + b)^2
Area of the base X height = (pi)hr^2

39. Legs 6 - 8. Hypotenuse?
Yes - like radicals can be added/subtracted.
10
4725
A set with a number of elements which can be counted.

40. What are the rational numbers?
A set with a number of elements which can be counted.
12.5%
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Divide by 100.

41. Find the surface area of a cylinder with radius 3 and height 12.
0
90pi
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The two xes after factoring.

42. The ratio of the areas of two similar polygons is ...
72
... the square of the ratios of the corresponding sides.
90 degrees
10! / 3!(10-3)! = 120

43. Describe the relationship between the graphs of x^2 and (1/2)x^2
(a - b)(a + b)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The second graph is less steep.
Divide by 100.

44. Circumference of a circle?
(a + b)^2
Relationship cannot be determined (what if x is negative?)
N! / (n-k)!
Diameter(Pi)

45. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
$3 -500 in the 9% and $2 -500 in the 7%.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
18
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

46. 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?
2.592 kg
16.6666%
1/2 times 7/3
F(x-c)

47. 70 < all primes< 80
1
1:1:sqrt2
71 - 73 - 79
A central angle is an angle formed by 2 radii.

48. A number is divisible by 4 is...
1/2 times 7/3
Its last two digits are divisible by 4.
83.333%
1 & 37/132

49. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
A 30-60-90 triangle.
9 & 6/7
Angle/360 x (pi)r^2
0

50. What are the irrational numbers?

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