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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. What is the 'Range' of a function?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
The empty set - denoted by a circle with a diagonal through it.
The set of output values for a function.
A reflection about the origin.

2. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
48
27^(-4)
8
12! / 5!7! = 792

3. Formula for the area of a sector of a circle?
Sector area = (n/360) X (pi)r^2
F(x + c)
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...
6

4. In a regular polygon with n sides - the formula for the sum of interior angles
(n-2) x 180
G(x) = {x}
...multiply by 100.
A tangent is a line that only touches one point on the circumference of a circle.

5. 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 greatest value minus the smallest.
9 & 6/7
90 degrees
12! / 5!7! = 792

6. sqrt 2(sqrt 6)=
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)
12sqrt2
Sqrt 12
4a^2(b)

7. (-1)^3 =
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The set of elements found in both A and B.
1
A circle centered on the origin with radius 8.

8. What is the formula for compounded interest?
Sqrt 12
Its negative reciprocal. (-b/a)
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.
II

9. When does a function automatically have a restricted domain (2)?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The curve opens upward and the vertex is the minimal point on the graph.
The longest arc between points A and B on a circle'S diameter.
Area of the base X height = (pi)hr^2

10. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
The union of A and B.
13pi / 2
180

11. a^0 =
1
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
x= (1.2)(.8)lw
90pi

12. What is the slope of a vertical line?

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13. Factor x^2 - xy + x.
Divide by 100.
A reflection about the origin.
Yes. [i.e. f(x) = x^2 - 1
x(x - y + 1)

14. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
4.25 - 6 - 22
83.333%
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
1

15. Can you simplify sqrt72?
(base*height) / 2
90
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
4096

16. (-1)^2 =
Lies opposite the greater angle
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The set of elements which can be found in either A or B.
1

17. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
13pi / 2
6
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

18. (x^2)^4
87.5%
All numbers multiples of 1.
4096
x^(2(4)) =x^8 = (x^4)^2

19. 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?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
2.592 kg
10! / (10-3)! = 720
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

20. 413.03 x 10^(-4) =
413.03 / 10^4 (move the decimal point 4 places to the left)
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)
A = I (1 + rt)
A reflection about the origin.

21. Reduce: 4.8 : 0.8 : 1.6
A set with no members - denoted by a circle with a diagonal through it.
2^9 / 2 = 256
6 : 1 : 2
28. n = 8 - k = 2. n! / k!(n-k)!

22. What are the irrational numbers?

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23. What is the graph of f(x) shifted upward c units or spaces?
27^(-4)
No - the input value has exactly one output.
F(x) + c
When the function is not defined for all real numbers -; only a subset of the real numbers.

24. x^6 / x^3
3 - -3
The sum of digits is divisible by 9.
4096
x^(6-3) = x^3

25. 1/6 in percent?
16.6666%
4:5
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
2

26. Evaluate 3& 2/7 / 1/3
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...
9 & 6/7
The curve opens downward and the vertex is the maximum point on the graph.
13

27. Whats the difference between factors and multiples?
Factors are few - multiples are many.
True
The empty set - denoted by a circle with a diagonal through it.
An isosceles right triangle.

28. The larger the absolute value of the slope...
The point of intersection of the systems.
The longest arc between points A and B on a circle'S diameter.
The steeper the slope.
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)

29. 1/2 divided by 3/7 is the same as
A set with a number of elements which can be counted.
A tangent is a line that only touches one point on the circumference of a circle.
3sqrt4
1/2 times 7/3

30. 7/8 in percent?
x= (1.2)(.8)lw
87.5%
...multiply by 100.
0

31. Which quadrant is the lower left hand?
1:1:sqrt2
An arc is a portion of a circumference of a circle.
III
9 : 25

32. 40 < all primes<50
41 - 43 - 47
F(x + c)
500
The union of A and B.

33. Solve the quadratic equation ax^2 + bx + c= 0
(a + b)^2
A circle centered on the origin with radius 8.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

34. x^2 = 9. What is the value of x?
The direction of the inequality is reversed.
3 - -3
The curve opens downward and the vertex is the maximum point on the graph.
61 - 67

35. Volume for a cylinder?
The longest arc between points A and B on a circle'S diameter.
2
Area of the base X height = (pi)hr^2
1.0843 X 10^11

36. a^2 - b^2 =
(a - b)(a + b)
27^(-4)
16.6666%
2

37. Can you subtract 3sqrt4 from sqrt4?
4096
Infinite.
Yes - like radicals can be added/subtracted.
(a + b)^2

38. Factor a^2 + 2ab + b^2
(a + b)^2
The third side is greater than the difference and less than the sum.
The curve opens downward and the vertex is the maximum point on the graph.
1/a^6

39. What does scientific notation mean?
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.
A = pi(r^2)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The direction of the inequality is reversed.

40. (a^-1)/a^5
An arc is a portion of a circumference of a circle.
1/a^6
48
180 degrees

41. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
A reflection about the axis.
Members or elements
Two equal sides and two equal angles.
12.5%

42. What is the area of a regular hexagon with side 6?
A grouping of the members within a set based on a shared characteristic.
2sqrt6
Yes - like radicals can be added/subtracted.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

43. 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?
A 30-60-90 triangle.
F(x-c)
A = pi(r^2)
48

44. What is the 'Range' of a series of numbers?
The greatest value minus the smallest.
The sum of its digits is divisible by 3.
The two xes after factoring.
The set of elements found in both A and B.

45. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
Pi is the ratio of a circle'S circumference to its diameter.
28. n = 8 - k = 2. n! / k!(n-k)!
1
9 & 6/7

46. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
18
No - the input value has exactly one output.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
0

47. What are the real numbers?
The sum of digits is divisible by 9.
4.25 - 6 - 22
0
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)

48. What are 'Supplementary angles?'
The third side is greater than the difference and less than the sum.
Two angles whose sum is 180.
Part = Percent X Whole
90

49. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
All numbers multiples of 1.
Diameter(Pi)
3
6

50. Length of an arc of a circle?
6
Angle/360 x 2(pi)r
55%
An isosceles right triangle.

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GRE Math: Common Errors

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