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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^2 - b^2
Yes - like radicals can be added/subtracted.
(a - b)(a + b)
12.5%
A = pi(r^2)
2. 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)
Triangles with same measure and same side lengths.
Two angles whose sum is 90.
90pi
3. What is the set of elements which can be found in either A or B?
The union of A and B.
F(x) + c
Sqrt 12
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
4. 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
90pi
Its last two digits are divisible by 4.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
18
5. Formula of rectangle where l increases by 20% and w decreases by 20%
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
Even
The two xes after factoring.
x= (1.2)(.8)lw
6. The number of degrees in the largest angle of a triangle inscribed in a circle - in which the diameter of the circle is one side of the triangle.
90 degrees
... the square of the ratios of the corresponding sides.
The objects within a set.
3 - -3
7. What is the name of set with a number of elements which cannot be counted?
61 - 67
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
4.25 - 6 - 22
An infinite set.
8. 7/8 in percent?
70
288 (8 9 4)
87.5%
F(x + c)
9. Which is greater? 64^5 or 16^8
8
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
The shortest arc between points A and B on a circle'S diameter.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
10. What percent of 40 is 22?
(base*height) / 2
C = (pi)d
55%
Diameter(Pi)
11. 413.03 x 10^(-4) =
II
Undefined - because we can'T divide by 0.
413.03 / 10^4 (move the decimal point 4 places to the left)
53 - 59
12. How to determine percent decrease?
C = (pi)d
(amount of decrease/original price) x 100%
12! / 5!7! = 792
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
13. What number between 70 & 75 - inclusive - has the greatest number of factors?
72
180
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
10! / (10-3)! = 720
14. Simplify (a^2 + b)^2 - (a^2 - b)^2
87.5%
F(x + c)
2.592 kg
4a^2(b)
15. What is a minor arc?
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183
16. When does a function automatically have a restricted domain (2)?
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...
Arc length = (n/360) x pi(2r) where n is the number of degrees.
A chord is a line segment joining two points on a circle.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
17. (-1)^3 =
1
The empty set - denoted by a circle with a diagonal through it.
Yes - like radicals can be added/subtracted.
2
18. If an inequality is multiplied or divided by a negative number....
True
Part = Percent X Whole
N! / (n-k)!
The direction of the inequality is reversed.
19. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
(a - b)^2
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
A circle centered on the origin with radius 8.
12! / 5!7! = 792
20. 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?
Yes. [i.e. f(x) = x^2 - 1
A chord is a line segment joining two points on a circle.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
48
21. 4.809 X 10^7 =
(amount of increase/original price) x 100%
.0004809 X 10^11
37.5%
3
22. What is the graph of f(x) shifted downward c units or spaces?
83.333%
A reflection about the axis.
.0004809 X 10^11
F(x) - c
23. 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?
71 - 73 - 79
10! / 3!(10-3)! = 120
An expression with just one term (-6x - 2a^2)
4:5
24. What is the intersection of A and B?
2 & 3/7
The set of elements found in both A and B.
(n-2) x 180
x^(6-3) = x^3
25. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
(amount of decrease/original price) x 100%
6
A chord is a line segment joining two points on a circle.
26. 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.
C = (pi)d
500
Two equal sides and two equal angles.
27. Can the input value of a function have more than one output value (i.e. x: y - y1)?
The direction of the inequality is reversed.
No - the input value has exactly one output.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
62.5%
28. 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)
(a + b)^2
(base*height) / 2
4.25 - 6 - 22
Undefined
29. 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?
A 30-60-90 triangle.
500
Two angles whose sum is 90.
The set of input values for a function.
30. How many sides does a hexagon have?
Move the decimal point to the right x places
6
Lies opposite the greater angle
3/2 - 5/3
31. What does scientific notation mean?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
72
When the function is not defined for all real numbers -; only a subset of the real numbers.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
32. 10^6 has how many zeroes?
6
A circle centered at -2 - -2 with radius 3.
From northeast - counterclockwise. I - II - III - IV
The objects within a set.
33. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
Factors are few - multiples are many.
0
F(x-c)
6 : 1 : 2
34. 25^(1/2) or sqrt. 25 =
0
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
5 OR -5
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
35. Max and Min lengths for a side of a triangle?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
No - the input value has exactly one output.
The third side is greater than the difference and less than the sum.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
36. 6w^2 - w - 15 = 0
A reflection about the origin.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
3/2 - 5/3
180
37. What is the formula for computing simple interest?
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)
Move the decimal point to the right x places
A = I (1 + rt)
Cd
38. What are the members or elements of a set?
x^(4+7) = x^11
72
The objects within a set.
Move the decimal point to the right x places
39. Length of an arc of a circle?
Even
II
The third side is greater than the difference and less than the sum.
Angle/360 x 2(pi)r
40. 40 < all primes<50
41 - 43 - 47
(n-2) x 180
87.5%
Factors are few - multiples are many.
41. 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)]?
The set of output values for a function.
41 - 43 - 47
A subset.
True
42. Formula to find a circle'S circumference from its diameter?
An isosceles right triangle.
C = (pi)d
70
All numbers multiples of 1.
43. 3/8 in percent?
A tangent is a line that only touches one point on the circumference of a circle.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
3
37.5%
44. What are the integers?
All numbers multiples of 1.
IV
The longest arc between points A and B on a circle'S diameter.
(amount of increase/original price) x 100%
45. What is an arc of a circle?
1.0843 X 10^11
180 degrees
An arc is a portion of a circumference of a circle.
67 - 71 - 73
46. Factor a^2 + 2ab + b^2
(a + b)^2
The point of intersection of the systems.
A reflection about the axis.
The two xes after factoring.
47. 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?
1/a^6
2.592 kg
The point of intersection of the systems.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
48. What is the side length of an equilateral triangle with altitude 6?
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...
6
The direction of the inequality is reversed.
The empty set - denoted by a circle with a diagonal through it.
49. (x^2)^4
10
An arc is a portion of a circumference of a circle.
x^(2(4)) =x^8 = (x^4)^2
Part = Percent X Whole
50. Legs 5 - 12. Hypotenuse?
A subset.
1 & 37/132
13
(p + q)/5