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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. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
12sqrt2
When the function is not defined for all real numbers -; only a subset of the real numbers.
Factors are few - multiples are many.

2. When the 'a' in the parabola is negative...
x^(6-3) = x^3
Area of the base X height = (pi)hr^2
3
The curve opens downward and the vertex is the maximum point on the graph.

3. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
A reflection about the axis.
An arc is a portion of a circumference of a circle.
IV

4. a^0 =
441000 = 1 10 10 10 21 * 21
5
...multiply by 100.
1

5. Pi is a ratio of what to what?

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6. 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))?
20.5
2.592 kg
11 - 13 - 17 - 19
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...

7. Which is greater? 200x^295 or 10x^294?
Relationship cannot be determined (what if x is negative?)
Two equal sides and two equal angles.
7 / 1000
6 : 1 : 2

8. What is the 'Solution' for a system of linear equations?
A central angle is an angle formed by 2 radii.
The point of intersection of the systems.
Ax^2 + bx + c where a -b and c are constants and a /=0
(amount of decrease/original price) x 100%

9. Define a 'Term' -
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)
1
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
83.333%

10. When the 'a' in a parabola is positive....
A circle centered on the origin with radius 8.
Indeterminable.
The curve opens upward and the vertex is the minimal point on the graph.
67 - 71 - 73

11. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
75:11
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Factors are few - multiples are many.
Its divisible by 2 and by 3.

12. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
6 : 1 : 2
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
10! / 3!(10-3)! = 120
37.5%

13. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
0
10! / (10-3)! = 720
288 (8 9 4)
(p + q)/5

14. 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%.
y = 2x^2 - 3
Undefined
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

15. How to determine percent decrease?
87.5%
(amount of decrease/original price) x 100%
6
F(x) - c

16. What are the real numbers?
A 30-60-90 triangle.
A circle centered at -2 - -2 with radius 3.
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)
180

17. (a^-1)/a^5
3 - -3
1/a^6
The empty set - denoted by a circle with a diagonal through it.
An isosceles right triangle.

18. Which quadrant is the upper right hand?
The empty set - denoted by a circle with a diagonal through it.
I
1
An angle which is supplementary to an interior angle.

19. Factor a^2 + 2ab + b^2
0
1
(amount of increase/original price) x 100%
(a + b)^2

20. What is a piecewise equation?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
N! / (k!)(n-k)!
4725
28. n = 8 - k = 2. n! / k!(n-k)!

21. Evaluate (4^3)^2
1.7
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Two angles whose sum is 90.
4096

22. The perimeter of a square is 48 inches. The length of its diagonal is:
The sum of digits is divisible by 9.
F(x) - c
All numbers multiples of 1.
12sqrt2

23. What is an exterior angle?
4.25 - 6 - 22
G(x) = {x}
An angle which is supplementary to an interior angle.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

24. To convert a decimal to a percent...
441000 = 1 10 10 10 21 * 21
4.25 - 6 - 22
0
...multiply by 100.

25. The ratio of the areas of two similar polygons is ...
No - the input value has exactly one output.
The empty set - denoted by a circle with a diagonal through it.
... the square of the ratios of the corresponding sides.
75:11

26. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
20.5
Members or elements
28. n = 8 - k = 2. n! / k!(n-k)!
Area of the base X height = (pi)hr^2

27. x^6 / x^3
1.0843 X 10^11
The two xes after factoring.
x^(6-3) = x^3
71 - 73 - 79

28. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
1.7
F(x + c)
Cd
The set of elements found in both A and B.

29. What is the slope of a horizontal line?
0
A set with a number of elements which can be counted.
x^(2(4)) =x^8 = (x^4)^2
C = 2(pi)r

30. 30< all primes<40
90pi
An expression with just one term (-6x - 2a^2)
A reflection about the origin.
31 - 37

31. What are congruent triangles?
72
...multiply by 100.
No - the input value has exactly one output.
Triangles with same measure and same side lengths.

32. Reduce: 4.8 : 0.8 : 1.6
2sqrt6
6 : 1 : 2
The point of intersection of the systems.
6

33. Order of quadrants:
The set of elements found in both A and B.
From northeast - counterclockwise. I - II - III - IV
N! / (k!)(n-k)!
(a + b)^2

34. The larger the absolute value of the slope...
4096
II
The steeper the slope.
1:sqrt3:2

35. What are the roots of the quadrinomial x^2 + 2x + 1?
The two xes after factoring.
413.03 / 10^4 (move the decimal point 4 places to the left)
130pi
The greatest value minus the smallest.

36. What is the maximum value for the function g(x) = (-2x^2) -1?
72
1
18
True

37. What is the 'Restricted domain of a function'?
x^(6-3) = x^3
No - the input value has exactly one output.
When the function is not defined for all real numbers -; only a subset of the real numbers.
A central angle is an angle formed by 2 radii.

38. What is the slope of a vertical line?

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39. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
500
The point of intersection of the systems.
The set of output values for a function.

40. Can you subtract 3sqrt4 from sqrt4?
Yes - like radicals can be added/subtracted.
90pi
The interesection of A and B.
8

41. Write 10 -843 X 10^7 in scientific notation
83.333%
1.0843 X 10^11
... the square of the ratios of the corresponding sides.
180

42. What are the members or elements of a set?
x^(4+7) = x^11
The objects within a set.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
1:sqrt3:2

43. If an inequality is multiplied or divided by a negative number....
(base*height) / 2
I
The direction of the inequality is reversed.
1

44. How to determine percent increase?
No - only like radicals can be added.
1/(x^y)
Its last two digits are divisible by 4.
(amount of increase/original price) x 100%

45. 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?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
10! / (10-3)! = 720
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
True

46. Convert 0.7% to a fraction.
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 / 1000
The curve opens downward and the vertex is the maximum point on the graph.
A chord is a line segment joining two points on a circle.

47. What is the formula for computing simple interest?
Yes - like radicals can be added/subtracted.
0
A circle centered on the origin with radius 8.
A = I (1 + rt)

48. What are the smallest three prime numbers greater than 65?
An angle which is supplementary to an interior angle.
An isosceles right triangle.
4a^2(b)
67 - 71 - 73

49. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
1 & 37/132
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)
23 - 29
13pi / 2

50. What is the graph of f(x) shifted upward c units or spaces?
F(x) + c
The set of output values for a function.
Yes. [i.e. f(x) = x^2 - 1
11 - 13 - 17 - 19

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GRE Math: Common Errors

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