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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. Legs: 3 - 4. Hypotenuse?
An angle which is supplementary to an interior angle.
28. n = 8 - k = 2. n! / k!(n-k)!
5
The sum of digits is divisible by 9.

2. Reduce: 4.8 : 0.8 : 1.6
Members or elements
500
6 : 1 : 2
5

3. 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?
1:1:sqrt2
48
x^(4+7) = x^11
Area of the base X height = (pi)hr^2

4. What is the empty set?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The direction of the inequality is reversed.
A set with no members - denoted by a circle with a diagonal through it.

5. What is the 'Restricted domain of a function'?
The third side is greater than the difference and less than the sum.
Relationship cannot be determined (what if x is negative?)
The set of output values for a function.
When the function is not defined for all real numbers -; only a subset of the real numbers.

6. 8.84 / 5.2
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).
1.7
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

7. The perimeter of a square is 48 inches. The length of its diagonal is:
The shortest arc between points A and B on a circle'S diameter.
12sqrt2
G(x) = {x}
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

8. x^4 + x^7 =
x^(4+7) = x^11
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
A set with no members - denoted by a circle with a diagonal through it.
G(x) = {x}

9. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
N! / (n-k)!
2
9 : 25

10. To convert a percent to a fraction....
No - the input value has exactly one output.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Two angles whose sum is 90.
Divide by 100.

11. Simplify 9^(1/2) X 4^3 X 2^(-6)?
3
28. n = 8 - k = 2. n! / k!(n-k)!
C = 2(pi)r
2^9 / 2 = 256

12. What is the order of operations?
(amount of decrease/original price) x 100%
A set with a number of elements which can be counted.
A = I (1 + rt)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

13. x^6 / x^3
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
x^(6-3) = x^3
3sqrt4
Factors are few - multiples are many.

14. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
87.5%
Relationship cannot be determined (what if x is negative?)
4:5
Yes. [i.e. f(x) = x^2 - 1

15. What are 'Supplementary angles?'
Two angles whose sum is 180.
A chord is a line segment joining two points on a circle.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
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.

16. What is a central angle?
A central angle is an angle formed by 2 radii.
A grouping of the members within a set based on a shared characteristic.
A circle centered on the origin with radius 8.
N! / (n-k)!

17. 10^6 has how many zeroes?
41 - 43 - 47
Relationship cannot be determined (what if x is negative?)
6
0

18. What is the graph of f(x) shifted right c units or spaces?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
1
1 & 37/132
F(x-c)

19. Circumference of a circle?
Diameter(Pi)
9 : 25
1.7
4a^2(b)

20. Order of quadrants:
The union of A and B.
Divide by 100.
From northeast - counterclockwise. I - II - III - IV
1

21. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
A = pi(r^2)
9 : 25
13pi / 2
4725

22. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
1
Two angles whose sum is 90.
52
All numbers multiples of 1.

23. a^0 =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
1
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
A tangent is a line that only touches one point on the circumference of a circle.

24. Length of an arc of a circle?
No - only like radicals can be added.
Angle/360 x 2(pi)r
Move the decimal point to the right x places
The set of input values for a function.

25. 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?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
2sqrt6
F(x-c)
10! / 3!(10-3)! = 120

26. Describe the relationship between 3x^2 and 3(x - 1)^2
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The longest arc between points A and B on a circle'S diameter.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
When the function is not defined for all real numbers -; only a subset of the real numbers.

27. Simplify the expression [(b^2 - c^2) / (b - c)]
2 & 3/7
N! / (n-k)!
(b + c)
1

28. Formula of rectangle where l increases by 20% and w decreases by 20%
x= (1.2)(.8)lw
The point of intersection of the systems.
4:5
True

29. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
9 & 6/7
Two angles whose sum is 90.
y = 2x^2 - 3
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

30. What is the 'Solution' for a set of inequalities.
The overlapping sections.
4a^2(b)
1
A grouping of the members within a set based on a shared characteristic.

31. What are the roots of the quadrinomial x^2 + 2x + 1?
71 - 73 - 79
The second graph is less steep.
The two xes after factoring.
2sqrt6

32. If the two sides of a triangle are unequal then the longer side...
Lies opposite the greater angle
3
Yes - like radicals can be added/subtracted.
8

33. The objects in a set are called two names:
Pi is the ratio of a circle'S circumference to its diameter.
9 : 25
Members or elements
18

34. 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?
(p + q)/5
10! / (10-3)! = 720
Factors are few - multiples are many.
The sum of its digits is divisible by 3.

35. x^(-y)=
Factors are few - multiples are many.
Relationship cannot be determined (what if x is negative?)
2 & 3/7
1/(x^y)

36. A number is divisible by 6 if...
8
3 - -3
Its divisible by 2 and by 3.
13

37. How many multiples does a given number have?
Relationship cannot be determined (what if x is negative?)
Infinite.
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

38. Which is greater? 200x^295 or 10x^294?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Relationship cannot be determined (what if x is negative?)
G(x) = {x}
11 - 13 - 17 - 19

39. x^2 = 9. What is the value of x?
6 : 1 : 2
3 - -3
Pi is the ratio of a circle'S circumference to its diameter.
y = 2x^2 - 3

40. a^2 - b^2
(a - b)(a + b)
4096
67 - 71 - 73
$11 -448

41. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
441000 = 1 10 10 10 21 * 21
(a + b)^2
II
9 & 6/7

42. What is the 'Range' of a series of numbers?
The curve opens downward and the vertex is the maximum point on the graph.
2
The greatest value minus the smallest.
6

43. What are complementary angles?
5 OR -5
Two angles whose sum is 90.
The direction of the inequality is reversed.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

44. (-1)^2 =
(b + c)
An isosceles right triangle.
1
A 30-60-90 triangle.

45. The ratio of the areas of two similar polygons is ...
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
... the square of the ratios of the corresponding sides.
An arc is a portion of a circumference of a circle.
F(x + c)

46. How many 3-digit positive integers are even and do not contain the digit 4?
The union of A and B.
x^(2(4)) =x^8 = (x^4)^2
288 (8 9 4)
The curve opens downward and the vertex is the maximum point on the graph.

47. (6sqrt3) x (2sqrt5) =
Undefined
62.5%
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

48. What is the slope of a vertical line?

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49. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
A = pi(r^2)
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
A 30-60-90 triangle.
C = (pi)d

50. Can you simplify sqrt72?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
1 & 37/132
$11 -448
All numbers multiples of 1.

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GRE Math: Common Errors

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