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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. A number is divisible by 9 if...
The sum of digits is divisible by 9.
2.592 kg
Divide by 100.
A reflection about the axis.

2. 7/8 in percent?
Cd
87.5%
y = 2x^2 - 3
No - only like radicals can be added.

3. Area of a triangle?
55%
The empty set - denoted by a circle with a diagonal through it.
Two angles whose sum is 180.
(base*height) / 2

4. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
1
A reflection about the origin.
Pi is the ratio of a circle'S circumference to its diameter.
1.7

5. 1/2 divided by 3/7 is the same as
3sqrt4
1/2 times 7/3
y = 2x^2 - 3
9 : 25

6. 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
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
18
The curve opens upward and the vertex is the minimal point on the graph.
(b + c)

7. What is the absolute value function?
G(x) = {x}
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
1:1:sqrt2
$3 -500 in the 9% and $2 -500 in the 7%.

8. What is a central angle?
A central angle is an angle formed by 2 radii.
288 (8 9 4)
(a - b)(a + b)
When the function is not defined for all real numbers -; only a subset of the real numbers.

9. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
True
A set with no members - denoted by a circle with a diagonal through it.
3
When the function is not defined for all real numbers -; only a subset of the real numbers.

10. 8.84 / 5.2
1.7
F(x) - c
F(x) + c
67 - 71 - 73

11. Legs 5 - 12. Hypotenuse?
13
An arc is a portion of a circumference of a circle.
1
(a - b)(a + b)

12. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
5 OR -5
N! / (n-k)!
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
6 : 1 : 2

13. What is the 'Restricted domain of a function'?
An isosceles right triangle.
83.333%
When the function is not defined for all real numbers -; only a subset of the real numbers.
Undefined - because we can'T divide by 0.

14. (12sqrt15) / (2sqrt5) =
23 - 29
10! / (10-3)! = 720
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
x(x - y + 1)

15. 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
A central angle is an angle formed by 2 radii.
16.6666%
53 - 59

16. Which quadrant is the lower left hand?
Two angles whose sum is 90.
III
75:11
A 30-60-90 triangle.

17. 6w^2 - w - 15 = 0
3/2 - 5/3
52
413.03 / 10^4 (move the decimal point 4 places to the left)
Even

18. 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)
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.
1
4096

19. a^2 - 2ab + b^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)
The set of input values for a function.
y = 2x^2 - 3
(a - b)^2

20. Factor x^2 - xy + x.
The set of elements which can be found in either A or B.
F(x-c)
x(x - y + 1)
4725

21. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
3
Cd
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The greatest value minus the smallest.

22. What is the 'Range' of a function?
6 : 1 : 2
No - only like radicals can be added.
2
The set of output values for a function.

23. a^2 - b^2 =
75:11
11 - 13 - 17 - 19
(a - b)(a + b)
The objects within a set.

24. 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.
1/2 times 7/3
III
61 - 67

25. To convert a decimal to a percent...
Angle/360 x 2(pi)r
...multiply by 100.
The steeper the slope.
6

26. Simplify (a^2 + b)^2 - (a^2 - b)^2
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)
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
4a^2(b)
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

27. Which quadrant is the upper left hand?
4a^2(b)
x^(2(4)) =x^8 = (x^4)^2
II
Members or elements

28. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
When the function is not defined for all real numbers -; only a subset of the real numbers.
4096
Infinite.

29. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
83.333%
12! / 5!7! = 792
2.592 kg
An infinite set.

30. What is an isoceles triangle?
From northeast - counterclockwise. I - II - III - IV
A = pi(r^2)
Two equal sides and two equal angles.
1:sqrt3:2

31. Pi is a ratio of what to what?

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32. A number is divisible by 6 if...
The set of output values for a function.
(p + q)/5
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 divisible by 2 and by 3.

33. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
Undefined
90
2^9 / 2 = 256
1

34. What is the 'domain' of a function?
The set of input values for a function.
...multiply by 100.
180
When the function is not defined for all real numbers -; only a subset of the real numbers.

35. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
I
A circle centered at -2 - -2 with radius 3.
2.592 kg
20.5

36. 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?
48
8
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Diameter(Pi)

37. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
70
1.7
13
7 / 1000

38. Simplify the expression (p^2 - q^2)/ -5(q - p)
C = 2(pi)r
The set of input values for a function.
y = (x + 5)/2
(p + q)/5

39. (-1)^3 =
3/2 - 5/3
Lies opposite the greater angle
1
The set of input values for a function.

40. What are complementary angles?
413.03 / 10^4 (move the decimal point 4 places to the left)
Two angles whose sum is 90.
A set with no members - denoted by a circle with a diagonal through it.
An isosceles right triangle.

41. What is a subset?
A grouping of the members within a set based on a shared characteristic.
Lies opposite the greater angle
The point of intersection of the systems.
The empty set - denoted by a circle with a diagonal through it.

42. If an inequality is multiplied or divided by a negative number....
48
The direction of the inequality is reversed.
2sqrt6
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

43. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
Undefined
(a - b)(a + b)
1:sqrt3:2

44. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
31 - 37
130pi
2.592 kg
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

45. 70 < all primes< 80
Angle/360 x 2(pi)r
No - only like radicals can be added.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
71 - 73 - 79

46. 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?
6 : 1 : 2
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
10! / (10-3)! = 720
1

47. What is the name of set with a number of elements which cannot be counted?
The curve opens downward and the vertex is the maximum point on the graph.
An infinite set.
Yes - like radicals can be added/subtracted.
Triangles with same measure and same side lengths.

48. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
4a^2(b)
G(x) = {x}
4.25 - 6 - 22
1 & 37/132

49. Formula for the area of a circle?
20.5
Two angles whose sum is 90.
A subset.
A = pi(r^2)

50. What is the 'Solution' for a set of inequalities.
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)
The overlapping sections.
The sum of its digits is divisible by 3.
The empty set - denoted by a circle with a diagonal through it.