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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. What is an arc of a circle?
An arc is a portion of a circumference of a circle.
12! / 5!7! = 792
1/2 times 7/3
No - the input value has exactly one output.
2. a^2 - 2ab + b^2
(a - b)^2
N! / (k!)(n-k)!
27^(-4)
The second graph is less steep.
3. What are the irrational numbers?
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4. Pi is a ratio of what to what?
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5. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
413.03 / 10^4 (move the decimal point 4 places to the left)
A circle centered at -2 - -2 with radius 3.
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.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
6. How many multiples does a given number have?
.0004809 X 10^11
27^(-4)
180 degrees
Infinite.
7. Which is greater? 27^(-4) or 9^(-8)
27^(-4)
The interesection of A and B.
A 30-60-90 triangle.
(a - b)(a + b)
8. 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?
Part = Percent X Whole
2.592 kg
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
A central angle is an angle formed by 2 radii.
9. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
N! / (k!)(n-k)!
12.5%
(a + b)^2
10. 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?
...multiply by 100.
3 - -3
10! / (10-3)! = 720
(b + c)
11. What is the set of elements which can be found in either A or B?
8
The empty set - denoted by a circle with a diagonal through it.
31 - 37
The union of A and B.
12. 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?
500
Area of the base X height = (pi)hr^2
5 OR -5
Two angles whose sum is 180.
13. Max and Min lengths for a side of a triangle?
N! / (n-k)!
The third side is greater than the difference and less than the sum.
When the function is not defined for all real numbers -; only a subset of the real numbers.
A reflection about the origin.
14. The slope of a line perpendicular to (a/b)?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
The two xes after factoring.
Its negative reciprocal. (-b/a)
(a + b)^2
15. 413.03 x 10^(-4) =
413.03 / 10^4 (move the decimal point 4 places to the left)
75:11
... the square of the ratios of the corresponding sides.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
16. In a regular polygon with n sides - the formula for the sum of interior angles
Relationship cannot be determined (what if x is negative?)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Yes. [i.e. f(x) = x^2 - 1
(n-2) x 180
17. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
2^9 / 2 = 256
1
Factors are few - multiples are many.
18. What are 'Supplementary angles?'
N! / (k!)(n-k)!
(amount of decrease/original price) x 100%
0
Two angles whose sum is 180.
19. What percent of 40 is 22?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
x(x - y + 1)
55%
90pi
20. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
$11 -448
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
y = 2x^2 - 3
21. 1/6 in percent?
16.6666%
Diameter(Pi)
(a - b)^2
x^(2(4)) =x^8 = (x^4)^2
22. Write 10 -843 X 10^7 in scientific notation
An isosceles right triangle.
5
1.0843 X 10^11
0
23. Formula to find a circle'S circumference from its diameter?
C = (pi)d
III
Members or elements
The curve opens upward and the vertex is the minimal point on the graph.
24. Circumference of a circle?
The empty set - denoted by a circle with a diagonal through it.
An arc is a portion of a circumference of a circle.
Diameter(Pi)
4.25 - 6 - 22
25. Formula of rectangle where l increases by 20% and w decreases by 20%
7 / 1000
x= (1.2)(.8)lw
90pi
72
26. What is a subset?
83.333%
A grouping of the members within a set based on a shared characteristic.
55%
23 - 29
27. (a^-1)/a^5
The direction of the inequality is reversed.
Undefined - because we can'T divide by 0.
1/a^6
A tangent is a line that only touches one point on the circumference of a circle.
28. What is a major arc?
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29. If the two sides of a triangle are unequal then the longer side...
1/a^6
A circle centered at -2 - -2 with radius 3.
1
Lies opposite the greater angle
30. What are the rational numbers?
Even
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
0
4:5
31. 5/8 in percent?
The longest arc between points A and B on a circle'S diameter.
A subset.
62.5%
61 - 67
32. How to find the area of a sector?
Yes - like radicals can be added/subtracted.
Angle/360 x (pi)r^2
The interesection of A and B.
2.592 kg
33. Which quadrant is the upper right hand?
1.7
(amount of increase/original price) x 100%
No - only like radicals can be added.
I
34. 0^0
Two equal sides and two equal angles.
Undefined
All numbers multiples of 1.
31 - 37
35. What are the smallest three prime numbers greater than 65?
The shortest arc between points A and B on a circle'S diameter.
67 - 71 - 73
5
$11 -448
36. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
N! / (k!)(n-k)!
(amount of decrease/original price) x 100%
The set of elements which can be found in either A or B.
5 OR -5
37. 4.809 X 10^7 =
.0004809 X 10^11
55%
11 - 13 - 17 - 19
6
38. What is an isoceles triangle?
(a + b)^2
Two equal sides and two equal angles.
1
10! / (10-3)! = 720
39. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
(a - b)^2
1
Pi is the ratio of a circle'S circumference to its diameter.
Cd
40. 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.
28. n = 8 - k = 2. n! / k!(n-k)!
A reflection about the origin.
Even
41. Number of degrees in a triangle
500
83.333%
180
(p + q)/5
42. 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)
Undefined - because we can'T divide by 0.
4.25 - 6 - 22
Angle/360 x (pi)r^2
Area of the base X height = (pi)hr^2
43. A number is divisible by 9 if...
An expression with just one term (-6x - 2a^2)
13
N! / (k!)(n-k)!
The sum of digits is divisible by 9.
44. What is the slope of a horizontal line?
11 - 13 - 17 - 19
28. n = 8 - k = 2. n! / k!(n-k)!
0
A reflection about the origin.
45. Evaluate 4/11 + 11/12
52
8
1 & 37/132
180
46. Can you add sqrt 3 and sqrt 5?
1/a^6
Yes - like radicals can be added/subtracted.
The set of output values for a function.
No - only like radicals can be added.
47. Which quadrant is the upper left hand?
13pi / 2
II
An isosceles right triangle.
The curve opens downward and the vertex is the maximum point on the graph.
48. Whats the difference between factors and multiples?
0
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Factors are few - multiples are many.
An expression with just one term (-6x - 2a^2)
49. What is the formula for computing simple interest?
(amount of increase/original price) x 100%
87.5%
0
A = I (1 + rt)
50. x^6 / x^3
Two angles whose sum is 90.
x^(6-3) = x^3
II
The third side is greater than the difference and less than the sum.