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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. Can you simplify sqrt72?
Factors are few - multiples are many.
x^(4+7) = x^11
C = (pi)d
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
2. Find the surface area of a cylinder with radius 3 and height 12.
(a - b)^2
Sector area = (n/360) X (pi)r^2
90pi
An infinite set.
3. What are the members or elements of a set?
9 : 25
55%
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The objects within a set.
4. The perimeter of a square is 48 inches. The length of its diagonal is:
72
12sqrt2
An isosceles right triangle.
3 - -3
5. What are the roots of the quadrinomial x^2 + 2x + 1?
Two angles whose sum is 180.
12! / 5!7! = 792
The two xes after factoring.
4725
6. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
3
The point of intersection of the systems.
441000 = 1 10 10 10 21 * 21
500
7. What are the integers?
... the square of the ratios of the corresponding sides.
A chord is a line segment joining two points on a circle.
All numbers multiples of 1.
y = 2x^2 - 3
8. a^2 - b^2 =
2 & 3/7
23 - 29
(a - b)(a + b)
True
9. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
An expression with just one term (-6x - 2a^2)
y = (x + 5)/2
(amount of decrease/original price) x 100%
1/a^6
10. 8.84 / 5.2
$3 -500 in the 9% and $2 -500 in the 7%.
1.7
Indeterminable.
C = 2(pi)r
11. Define a 'monomial'
The objects within a set.
An expression with just one term (-6x - 2a^2)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
(base*height) / 2
12. a^2 + 2ab + b^2
(a + b)^2
x^(6-3) = x^3
Even
(p + q)/5
13. What is a parabola?
Ax^2 + bx + c where a -b and c are constants and a /=0
500
Yes. [i.e. f(x) = x^2 - 1
2.592 kg
14. 10<all primes<20
Two equal sides and two equal angles.
180
70
11 - 13 - 17 - 19
15. Define an 'expression'.
1
413.03 / 10^4 (move the decimal point 4 places to the left)
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 shortest arc between points A and B on a circle'S diameter.
16. Write 10 -843 X 10^7 in scientific notation
An expression with just one term (-6x - 2a^2)
A reflection about the origin.
1.0843 X 10^11
87.5%
17. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
2sqrt6
A circle centered at -2 - -2 with radius 3.
9 : 25
18. What is a finite set?
A set with a number of elements which can be counted.
Two angles whose sum is 180.
Its divisible by 2 and by 3.
Angle/360 x 2(pi)r
19. What percent of 40 is 22?
A central angle is an angle formed by 2 radii.
(a + b)^2
Even
55%
20. A number is divisible by 6 if...
... the square of the ratios of the corresponding sides.
Its divisible by 2 and by 3.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
A = pi(r^2)
21. Define a 'Term' -
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.
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)
(p + q)/5
22. To convert a percent to a fraction....
Divide by 100.
The direction of the inequality is reversed.
18
From northeast - counterclockwise. I - II - III - IV
23. Which quandrant is the lower right hand?
IV
Undefined
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
y = 2x^2 - 3
24. x^2 = 9. What is the value of x?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
An arc is a portion of a circumference of a circle.
3 - -3
A = I (1 + rt)
25. Formula to calculate arc length?
37.5%
1
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Arc length = (n/360) x pi(2r) where n is the number of degrees.
26. The ratio of the areas of two similar polygons is ...
F(x) - c
(a - b)(a + b)
10
... the square of the ratios of the corresponding sides.
27. When does a function automatically have a restricted domain (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.
61 - 67
1/(x^y)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
28. How many sides does a hexagon have?
0
Two angles whose sum is 90.
An isosceles right triangle.
6
29. Solve the quadratic equation ax^2 + bx + c= 0
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
Relationship cannot be determined (what if x is negative?)
F(x) + c
30. 3/8 in percent?
37.5%
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Yes - like radicals can be added/subtracted.
3/2 - 5/3
31. P and r are factors of 100. What is greater - pr or 100?
(a + b)^2
The interesection of A and B.
Indeterminable.
10! / (10-3)! = 720
32. 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?
G(x) = {x}
(p + q)/5
All the numbers on the number line (negative - rational - irrational - decimal - integer). All the numbers on the GRE are real. (-2 - 1 - .25 - 1/2 - pi)
48
33. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
10
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
Yes - like radicals can be added/subtracted.
12sqrt2
34. 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?
2.592 kg
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...
G(x) = {x}
1:1:sqrt2
35. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
70
4:5
8
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
36. 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?
10! / 3!(10-3)! = 120
The curve opens downward and the vertex is the maximum point on the graph.
0
A = I (1 + rt)
37. Convert 0.7% to a fraction.
7 / 1000
N! / (n-k)!
Part = Percent X Whole
4725
38. 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?
31 - 37
83.333%
x(x - y + 1)
500
39. 1/8 in percent?
A reflection about the axis.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
12.5%
I
40. What is the measure of an exterior angle of a regular pentagon?
Triangles with same measure and same side lengths.
The two xes after factoring.
72
Arc length = (n/360) x pi(2r) where n is the number of degrees.
41. (-1)^3 =
The union of A and B.
Lies opposite the greater angle
1
The shortest arc between points A and B on a circle'S diameter.
42. What is the ratio of the sides of an isosceles right triangle?
(amount of decrease/original price) x 100%
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...
1:1:sqrt2
Factors are few - multiples are many.
43. What is a piecewise equation?
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 = I (1 + rt)
The point of intersection of the systems.
(n-2) x 180
44. The larger the absolute value of the slope...
The steeper the slope.
An angle which is supplementary to an interior angle.
1 & 37/132
y = (x + 5)/2
45. Length of an arc of a circle?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
180
Angle/360 x 2(pi)r
(a + b)^2
46. (a^-1)/a^5
1/a^6
(amount of increase/original price) x 100%
Undefined - because we can'T divide by 0.
C = (pi)d
47. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
F(x + c)
27^(-4)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
48. 30< all primes<40
5
31 - 37
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
49. What is the 'Restricted domain of a function'?
An isosceles right triangle.
0
When the function is not defined for all real numbers -; only a subset of the real numbers.
The sum of its digits is divisible by 3.
50. What is the name of set with a number of elements which cannot be counted?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
$11 -448
The set of elements which can be found in either A or B.
An infinite set.
Sorry!:) No result found.
Can you answer 50 questions in 15 minutes?
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