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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. 2sqrt4 + sqrt4 =
2^9 / 2 = 256
130pi
3sqrt4
The longest arc between points A and B on a circle'S diameter.

2. What does the graph x^2 + y^2 = 64 look like?
10
67 - 71 - 73
A circle centered on the origin with radius 8.
(a - b)(a + b)

3. a^2 + 2ab + b^2
70
Ax^2 + bx + c where a -b and c are constants and a /=0
(a + b)^2
x= (1.2)(.8)lw

4. What is the formula for compounded interest?
The set of elements found in both A and B.
x^(6-3) = x^3
True
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.

5. What is the graph of f(x) shifted left c units or spaces?
3
An arc is a portion of a circumference of a circle.
F(x + c)
1:sqrt3:2

6. Order of quadrants:
From northeast - counterclockwise. I - II - III - IV
18
An isosceles right triangle.
1:sqrt3:2

7. 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))?
67 - 71 - 73
12! / 5!7! = 792
II
20.5

8. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
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
16.6666%
41 - 43 - 47
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

9. 50 < all primes< 60
3sqrt4
53 - 59
180 degrees
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

10. What are the rational numbers?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
2sqrt6
62.5%
The set of elements found in both A and B.

11. The ratio of the areas of two similar polygons is ...
An arc is a portion of a circumference of a circle.
... the square of the ratios of the corresponding sides.
x^(6-3) = x^3
The sum of its digits is divisible by 3.

12. In a regular polygon with n sides - the formula for the sum of interior angles
4.25 - 6 - 22
(n-2) x 180
(b + c)
12sqrt2

13. (-1)^3 =
An expression with just one term (-6x - 2a^2)
A chord is a line segment joining two points on a circle.
1
0

14. Formula for the area of a circle?
12! / 5!7! = 792
9 : 25
A reflection about the axis.
A = pi(r^2)

15. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
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 = pi(r^2)
A reflection about the origin.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

16. What is the absolute value function?
G(x) = {x}
x^(2(4)) =x^8 = (x^4)^2
Two angles whose sum is 180.
The union of A and B.

17. 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?
1/a^6
Cd
13pi / 2
500

18. What is a tangent?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
IV
The set of elements which can be found in either A or B.
A tangent is a line that only touches one point on the circumference of a circle.

19. Convert 0.7% to a fraction.
From northeast - counterclockwise. I - II - III - IV
Infinite.
7 / 1000
90 degrees

20. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
An infinite set.
$11 -448
1/a^6
3

21. To multiply a number by 10^x
Move the decimal point to the right x places
413.03 / 10^4 (move the decimal point 4 places to the left)
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...
F(x-c)

22. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
1
A 30-60-90 triangle.
A circle centered at -2 - -2 with radius 3.
.0004809 X 10^11

23. What is the intersection of A and B?
The set of elements found in both A and B.
71 - 73 - 79
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

24. A number is divisible by 4 is...
The third side is greater than the difference and less than the sum.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
(a - b)(a + b)
Its last two digits are divisible by 4.

25. What is an exterior angle?
31 - 37
All numbers multiples of 1.
An angle which is supplementary to an interior angle.
18

26. x^6 / x^3
1:sqrt3:2
x^(6-3) = x^3
Infinite.
Cd

27. Define an 'expression'.
x= (1.2)(.8)lw
Lies opposite the greater angle
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)
Its last two digits are divisible by 4.

28. When does a function automatically have a restricted domain (2)?
A tangent is a line that only touches one point on the circumference of a circle.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
87.5%
A reflection about the origin.

29. Length of an arc of a circle?
Angle/360 x 2(pi)r
6
413.03 / 10^4 (move the decimal point 4 places to the left)
13

30. Simplify 9^(1/2) X 4^3 X 2^(-6)?
3
31 - 37
90pi
All numbers multiples of 1.

31. What is a chord of a circle?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
N! / (n-k)!
A chord is a line segment joining two points on a circle.
1:1:sqrt2

32. Simplify the expression (p^2 - q^2)/ -5(q - p)
61 - 67
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.
(p + q)/5
Divide by 100.

33. (a^-1)/a^5
1/a^6
(a - b)^2
4096
Yes - like radicals can be added/subtracted.

34. x^4 + x^7 =
The set of input values for a function.
The overlapping sections.
Infinite.
x^(4+7) = x^11

35. A number is divisible by 9 if...
75:11
The sum of digits is divisible by 9.
1
48

36. a^2 - b^2 =
$11 -448
A subset.
0
(a - b)(a + b)

37. Formula to find a circle'S circumference from its radius?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
C = 2(pi)r
A grouping of the members within a set based on a shared characteristic.
71 - 73 - 79

38. Evaluate 3& 2/7 / 1/3
$3 -500 in the 9% and $2 -500 in the 7%.
3 - -3
The curve opens upward and the vertex is the minimal point on the graph.
9 & 6/7

39. Number of degrees in a triangle
180
The overlapping sections.
9 & 6/7
Factors are few - multiples are many.

40. What are the real numbers?
II
The objects within a set.
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)
3

41. What is the percent formula?
The interesection of A and B.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Part = Percent X Whole
$3 -500 in the 9% and $2 -500 in the 7%.

42. To convert a percent to a fraction....
The steeper the slope.
Divide by 100.
x^(6-3) = x^3
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

43. Describe the relationship between 3x^2 and 3(x - 1)^2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
2^9 / 2 = 256
413.03 / 10^4 (move the decimal point 4 places to the left)

44. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
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)
Cd
Undefined
2 & 3/7

45. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...
x^(6-3) = x^3
(amount of decrease/original price) x 100%

46. The larger the absolute value of the slope...
y = (x + 5)/2
The steeper the slope.
4096
(n-2) x 180

47. What percent of 40 is 22?
The third side is greater than the difference and less than the sum.
From northeast - counterclockwise. I - II - III - IV
55%
A subset.

48. (x^2)^4
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...
The second graph is less steep.
x^(2(4)) =x^8 = (x^4)^2
10

49. 5/6 in percent?
1
II
83.333%
(b + c)

50. Formula to calculate arc length?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
90pi
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...
3

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GRE Math: Common Errors

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