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Test your basic knowledge |
GRE Math: Common Errors
Start Test
Study First
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.