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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. Surface area for a cylinder?
The interesection of A and B.
2(pi)r^2 + 2(pi)rh
(a + b)^2
Undefined
2. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
The curve opens downward and the vertex is the maximum point on the graph.
3sqrt4
4:5
1
3. What does scientific notation mean?
C = 2(pi)r
6
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
4. (6sqrt3) x (2sqrt5) =
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The empty set - denoted by a circle with a diagonal through it.
x^(4+7) = x^11
5. Formula to find a circle'S circumference from its radius?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
A = I (1 + rt)
C = 2(pi)r
71 - 73 - 79
6. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
75:11
C = (pi)d
1
7. Legs 6 - 8. Hypotenuse?
The direction of the inequality is reversed.
II
10
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
8. In a regular polygon with n sides - the formula for the sum of interior angles
Lies opposite the greater angle
(b + c)
The curve opens downward and the vertex is the maximum point on the graph.
(n-2) x 180
9. 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?
No - only like radicals can be added.
23 - 29
500
The third side is greater than the difference and less than the sum.
10. Area of a triangle?
A 30-60-90 triangle.
(base*height) / 2
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
A central angle is an angle formed by 2 radii.
11. Formula for the area of a circle?
2^9 / 2 = 256
An isosceles right triangle.
A = pi(r^2)
$3 -500 in the 9% and $2 -500 in the 7%.
12. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
441000 = 1 10 10 10 21 * 21
67 - 71 - 73
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)
(a - b)(a + b)
13. Volume for a cylinder?
Area of the base X height = (pi)hr^2
20.5
x^(4+7) = x^11
2^9 / 2 = 256
14. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
1:1:sqrt2
10
3sqrt4
15. What is the sum of the angles of a triangle?
3
180 degrees
The set of elements found in both A and B.
The point of intersection of the systems.
16. What is the graph of f(x) shifted upward c units or spaces?
F(x) + c
The direction of the inequality is reversed.
True
5 OR -5
17. Can the output value of a function have more than one input value?
A = I (1 + rt)
53 - 59
Yes. [i.e. f(x) = x^2 - 1
(a + b)^2
18. 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)]?
Its negative reciprocal. (-b/a)
6
Sqrt 12
True
19. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
1/(x^y)
$3 -500 in the 9% and $2 -500 in the 7%.
Triangles with same measure and same side lengths.
.0004809 X 10^11
20. 7/8 in percent?
Its divisible by 2 and by 3.
N! / (k!)(n-k)!
87.5%
I
21. What is the ratio of the sides of an isosceles right triangle?
37.5%
1:1:sqrt2
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Diameter(Pi)
22. Which is greater? 27^(-4) or 9^(-8)
27^(-4)
28. n = 8 - k = 2. n! / k!(n-k)!
All numbers multiples of 1.
16.6666%
23. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
2sqrt6
The sum of its digits is divisible by 3.
A set with a number of elements which can be counted.
24. Which quadrant is the upper right hand?
16.6666%
I
Sector area = (n/360) X (pi)r^2
A = I (1 + rt)
25. What is the 'Range' of a series of numbers?
The set of elements found in both A and B.
90
The greatest value minus the smallest.
When the function is not defined for all real numbers -; only a subset of the real numbers.
26. 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?
x= (1.2)(.8)lw
y = 2x^2 - 3
Members or elements
A = pi(r^2)
27. Legs: 3 - 4. Hypotenuse?
The set of input values for a function.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
5
Its divisible by 2 and by 3.
28. 413.03 x 10^(-4) =
The second graph is less steep.
2.592 kg
413.03 / 10^4 (move the decimal point 4 places to the left)
8
29. What is a minor arc?
30. a^2 + 2ab + b^2
The sum of digits is divisible by 9.
12sqrt2
C = (pi)d
(a + b)^2
31. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
The set of elements found in both A and B.
61 - 67
... the square of the ratios of the corresponding sides.
32. How to find the circumference of a circle which circumscribes a square?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
70
The objects within a set.
The set of elements which can be found in either A or B.
33. Factor x^2 - xy + x.
A reflection about the origin.
(a + b)^2
41 - 43 - 47
x(x - y + 1)
34. What are the rational numbers?
Pi is the ratio of a circle'S circumference to its diameter.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
F(x) - c
x= (1.2)(.8)lw
35. 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)!
Infinite.
75:11
A central angle is an angle formed by 2 radii.
36. 1/6 in percent?
16.6666%
9 & 6/7
The direction of the inequality is reversed.
Angle/360 x 2(pi)r
37. What are the roots of the quadrinomial x^2 + 2x + 1?
180 degrees
2.592 kg
The two xes after factoring.
... the square of the ratios of the corresponding sides.
38. Pi is a ratio of what to what?
39. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
70
An isosceles right triangle.
27^(-4)
2sqrt6
40. What is the graph of f(x) shifted downward c units or spaces?
55%
12! / 5!7! = 792
90 degrees
F(x) - c
41. What is the absolute value function?
G(x) = {x}
The greatest value minus the smallest.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
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...
42. The objects in a set are called two names:
Members or elements
When the function is not defined for all real numbers -; only a subset of the real numbers.
53 - 59
(base*height) / 2
43. 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.
A reflection about the axis.
Divide by 100.
90 degrees
A tangent is a line that only touches one point on the circumference of a circle.
44. To convert a percent to a fraction....
Divide by 100.
Two angles whose sum is 180.
x(x - y + 1)
No - the input value has exactly one output.
45. Find the surface area of a cylinder with radius 3 and height 12.
2^9 / 2 = 256
90pi
5
The third side is greater than the difference and less than the sum.
46. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
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)
Ax^2 + bx + c where a -b and c are constants and a /=0
A circle centered at -2 - -2 with radius 3.
23 - 29
47. What are congruent triangles?
441000 = 1 10 10 10 21 * 21
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Its divisible by 2 and by 3.
Triangles with same measure and same side lengths.
48. x^4 + x^7 =
x^(4+7) = x^11
1/(x^y)
Ax^2 + bx + c where a -b and c are constants and a /=0
A tangent is a line that only touches one point on the circumference of a circle.
49. How to determine percent decrease?
Two equal sides and two equal angles.
(amount of decrease/original price) x 100%
4.25 - 6 - 22
28. n = 8 - k = 2. n! / k!(n-k)!
50. (-1)^2 =
N! / (k!)(n-k)!
2 & 3/7
1
(a + b)^2