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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. How many sides does a hexagon have?
55%
413.03 / 10^4 (move the decimal point 4 places to the left)
All numbers multiples of 1.
6

2. What are the irrational numbers?

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3. Evaluate 3& 2/7 / 1/3
9 & 6/7
41 - 43 - 47
1
0

4. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
Pi is the ratio of a circle'S circumference to its diameter.
Infinite.
90pi
2sqrt6

5. Evaluate (4^3)^2
A set with no members - denoted by a circle with a diagonal through it.
2(pi)r^2 + 2(pi)rh
4096
Indeterminable.

6. (12sqrt15) / (2sqrt5) =
18
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
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)
The empty set - denoted by a circle with a diagonal through it.

7. 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?
53 - 59
(a - b)^2
3sqrt4
9 : 25

8. What are congruent triangles?
Triangles with same measure and same side lengths.
23 - 29
12.5%
The direction of the inequality is reversed.

9. Legs: 3 - 4. Hypotenuse?
12! / 5!7! = 792
5
70
A 30-60-90 triangle.

10. What is a major arc?

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11. Simplify 9^(1/2) X 4^3 X 2^(-6)?
12.5%
11 - 13 - 17 - 19
3
27^(-4)

12. 6w^2 - w - 15 = 0
The set of elements found in both A and B.
(b + c)
3/2 - 5/3
F(x) + c

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)]
9 : 25
53 - 59
0
An arc is a portion of a circumference of a circle.

14. What is the surface area of a cylinder with radius 5 and height 8?
4a^2(b)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
...multiply by 100.
130pi

15. Number of degrees in a triangle
A set with a number of elements which can be counted.
180
x^(4+7) = x^11
(n-2) x 180

16. What is an isoceles triangle?
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)
413.03 / 10^4 (move the decimal point 4 places to the left)
Two equal sides and two equal angles.
7 / 1000

17. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
288 (8 9 4)
(amount of decrease/original price) x 100%
An isosceles right triangle.
(a + b)^2

18. Legs 6 - 8. Hypotenuse?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
10
No - only like radicals can be added.
Infinite.

19. 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?
$11 -448
(p + q)/5
6 : 1 : 2
10! / 3!(10-3)! = 120

20. What is an arc of a circle?
53 - 59
An arc is a portion of a circumference of a circle.
F(x-c)
9 & 6/7

21. 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.
13pi / 2
IV
A set with a number of elements which can be counted.

22. Formula for the area of a circle?
The curve opens downward and the vertex is the maximum point on the graph.
A = pi(r^2)
1:1:sqrt2
(a + b)^2

23. If an inequality is multiplied or divided by a negative number....
The set of input values for a function.
The direction of the inequality is reversed.
18
13

24. Find the surface area of a cylinder with radius 3 and height 12.
$11 -448
90pi
(a + b)^2
4:5

25. Max and Min lengths for a side of a triangle?
The third side is greater than the difference and less than the sum.
y = (x + 5)/2
(b + c)
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

26. How many 3-digit positive integers are even and do not contain the digit 4?
12.5%
When the function is not defined for all real numbers -; only a subset of the real numbers.
A subset.
288 (8 9 4)

27. 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?
The sum of digits is divisible by 9.
48
27^(-4)
16.6666%

28. What is the area of a regular hexagon with side 6?
The steeper the slope.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
.0004809 X 10^11
10! / 3!(10-3)! = 120

29. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
y = 2x^2 - 3
The point of intersection of the systems.
(a + b)^2
Cd

30. What are 'Supplementary angles?'
The curve opens downward and the vertex is the maximum point on the graph.
Two angles whose sum is 180.
x= (1.2)(.8)lw
1

31. Can the output value of a function have more than one input value?
The longest arc between points A and B on a circle'S diameter.
72
Yes. [i.e. f(x) = x^2 - 1
130pi

32. To convert a decimal to a percent...
...multiply by 100.
The curve opens upward and the vertex is the minimal point on the graph.
A central angle is an angle formed by 2 radii.
10

33. Evaluate 4/11 + 11/12
1 & 37/132
F(x) - c
A set with no members - denoted by a circle with a diagonal through it.
(base*height) / 2

34. What does scientific notation mean?
1/(x^y)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The greatest value minus the smallest.

35. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
0
1:sqrt3:2
2^9 / 2 = 256
52

36. a^2 + 2ab + b^2
1.0843 X 10^11
When the function is not defined for all real numbers -; only a subset of the real numbers.
(a + b)^2
1.7

37. 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?
Two equal sides and two equal angles.
(a - b)^2
10! / (10-3)! = 720
16.6666%

38. A number is divisible by 9 if...
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
An angle which is supplementary to an interior angle.
The sum of digits is divisible by 9.
Members or elements

39. a^2 - b^2
(a - b)(a + b)
The overlapping sections.
1 & 37/132
(p + q)/5

40. Can the input value of a function have more than one output value (i.e. x: y - y1)?
1 & 37/132
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
No - the input value has exactly one output.
N! / (n-k)!

41. (a^-1)/a^5
1
2
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
1/a^6

42. What number between 70 & 75 - inclusive - has the greatest number of factors?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
23 - 29
72
The overlapping sections.

43. When does a function automatically have a restricted domain (2)?
87.5%
53 - 59
1:1:sqrt2
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

44. 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?
3 - -3
500
The overlapping sections.
70

45. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
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.
61 - 67
$3 -500 in the 9% and $2 -500 in the 7%.

46. (-1)^3 =
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)
1.0843 X 10^11
2
1

47. Length of an arc of a circle?
From northeast - counterclockwise. I - II - III - IV
Angle/360 x 2(pi)r
C = 2(pi)r
Indeterminable.

48. The ratio of the areas of two similar polygons is ...
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
... the square of the ratios of the corresponding sides.
4725
70

49. 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?
$11 -448
Yes. [i.e. f(x) = x^2 - 1
4a^2(b)
y = 2x^2 - 3

50. What is a parabola?
3sqrt4
An infinite set.
C = (pi)d
Ax^2 + bx + c where a -b and c are constants and a /=0