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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. What is the graph of f(x) shifted downward c units or spaces?
Its last two digits are divisible by 4.
F(x) - c
413.03 / 10^4 (move the decimal point 4 places to the left)
4:5

2. 25^(1/2) or sqrt. 25 =
1.0843 X 10^11
The set of output values for a function.
x(x - y + 1)
5 OR -5

3. What percent of 40 is 22?
The set of output values for a function.
55%
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
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)

4. What is an arc of a circle?
413.03 / 10^4 (move the decimal point 4 places to the left)
12.5%
An arc is a portion of a circumference of a circle.
(a - b)(a + b)

5. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
87.5%
(a - b)^2
An isosceles right triangle.
The set of elements which can be found in either A or B.

6. Convert 0.7% to a fraction.
N! / (k!)(n-k)!
2
7 / 1000
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

7. x^2 = 9. What is the value of x?
Triangles with same measure and same side lengths.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
3 - -3
72

8. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
.0004809 X 10^11
C = (pi)d
67 - 71 - 73

9. 4.809 X 10^7 =
A subset.
4096
.0004809 X 10^11
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

10. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
The union of A and B.
When the function is not defined for all real numbers -; only a subset of the real numbers.
53 - 59

11. 10<all primes<20
A 30-60-90 triangle.
11 - 13 - 17 - 19
A circle centered on the origin with radius 8.
The greatest value minus the smallest.

12. What is the maximum value for the function g(x) = (-2x^2) -1?
4a^2(b)
1
A circle centered at -2 - -2 with radius 3.
Pi is the ratio of a circle'S circumference to its diameter.

13. What is the slope of a horizontal line?
0
...multiply by 100.
No - only like radicals can be added.
6

14. How to find the area of a sector?
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)
x^(6-3) = x^3
IV
Angle/360 x (pi)r^2

15. 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)
4.25 - 6 - 22
x= (1.2)(.8)lw
The overlapping sections.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

16. 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?
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)
500
2(pi)r^2 + 2(pi)rh
75:11

17. What are complementary angles?
4725
90 degrees
3/2 - 5/3
Two angles whose sum is 90.

18. What does the graph x^2 + y^2 = 64 look like?
A circle centered on the origin with radius 8.
9 : 25
Yes - like radicals can be added/subtracted.
A set with a number of elements which can be counted.

19. 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.
A set with a number of elements which can be counted.
90 degrees
413.03 / 10^4 (move the decimal point 4 places to the left)
2sqrt6

20. 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?
90pi
$3 -500 in the 9% and $2 -500 in the 7%.
6 : 1 : 2
Indeterminable.

21. a^0 =
Indeterminable.
288 (8 9 4)
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
1

22. What is the surface area of a cylinder with radius 5 and height 8?
52
130pi
1.0843 X 10^11
G(x) = {x}

23. What is the slope of a vertical line?

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24. What is a parabola?
An arc is a portion of a circumference of a circle.
Indeterminable.
The union of A and B.
Ax^2 + bx + c where a -b and c are constants and a /=0

25. Evaluate 3& 2/7 / 1/3
C = 2(pi)r
3/2 - 5/3
9 & 6/7
1

26. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
90
An expression with just one term (-6x - 2a^2)
28. n = 8 - k = 2. n! / k!(n-k)!
Cd

27. 40 < all primes<50
41 - 43 - 47
10! / 3!(10-3)! = 120
Factors are few - multiples are many.
F(x-c)

28. What is the graph of f(x) shifted left c units or spaces?
1
A = I (1 + rt)
Undefined
F(x + c)

29. Formula of rectangle where l increases by 20% and w decreases by 20%
A reflection about the origin.
x= (1.2)(.8)lw
6 : 1 : 2
A = pi(r^2)

30. Circumference of a circle?
7 / 1000
Diameter(Pi)
10! / (10-3)! = 720
.0004809 X 10^11

31. Order of quadrants:
From northeast - counterclockwise. I - II - III - IV
6 : 1 : 2
90pi
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

32. What is the set of elements found in both A and B?
(base*height) / 2
The interesection of A and B.
The set of output values for a function.
The union of A and B.

33. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
$3 -500 in the 9% and $2 -500 in the 7%.
8
.0004809 X 10^11

34. What is the absolute value function?
Infinite.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
G(x) = {x}
Its last two digits are divisible by 4.

35. Which quandrant is the lower right hand?
IV
No - the input value has exactly one output.
All numbers multiples of 1.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

36. Legs 6 - 8. Hypotenuse?
3/2 - 5/3
10
31 - 37
12.5%

37. P and r are factors of 100. What is greater - pr or 100?
Ax^2 + bx + c where a -b and c are constants and a /=0
Indeterminable.
Undefined - because we can'T divide by 0.
Angle/360 x 2(pi)r

38. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The set of output values for a function.
I

39. What are 'Supplementary angles?'
288 (8 9 4)
Two angles whose sum is 180.
(b + c)
7 / 1000

40. The ratio of the areas of two similar polygons is ...
(amount of decrease/original price) x 100%
Factors are few - multiples are many.
28. n = 8 - k = 2. n! / k!(n-k)!
... the square of the ratios of the corresponding sides.

41. Which is greater? 27^(-4) or 9^(-8)
Factors are few - multiples are many.
27^(-4)
F(x) - c
130pi

42. Which is greater? 64^5 or 16^8
The objects within a set.
10
180 degrees
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

43. 10^6 has how many zeroes?
6
A chord is a line segment joining two points on a circle.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
F(x) - c

44. 60 < all primes <70
x^(2(4)) =x^8 = (x^4)^2
61 - 67
413.03 / 10^4 (move the decimal point 4 places to the left)
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

45. 5x^2 - 35x -55 = 0
5 OR -5
A tangent is a line that only touches one point on the circumference of a circle.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
18

46. What are congruent triangles?
Triangles with same measure and same side lengths.
An infinite set.
(amount of increase/original price) x 100%
1/2 times 7/3

47. What is a tangent?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
A tangent is a line that only touches one point on the circumference of a circle.
Infinite.

48. To multiply a number by 10^x
All numbers multiples of 1.
Move the decimal point to the right x places
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.
Its divisible by 2 and by 3.

49. What is the set of elements which can be found in either A or B?
The union of A and B.
An expression with just one term (-6x - 2a^2)
Undefined - because we can'T divide by 0.
2(pi)r^2 + 2(pi)rh

50. What is the 'domain' of a function?
1/2 times 7/3
67 - 71 - 73
x= (1.2)(.8)lw
The set of input values for a function.