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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 the absolute value function?
12! / 5!7! = 792
G(x) = {x}
2(pi)r^2 + 2(pi)rh
0
2. Number of degrees in a triangle
180
Diameter(Pi)
A 30-60-90 triangle.
C = (pi)d
3. What is a tangent?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
5 OR -5
A tangent is a line that only touches one point on the circumference of a circle.
90pi
4. a^2 - b^2
(amount of increase/original price) x 100%
288 (8 9 4)
(a - b)(a + b)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
5. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
A subset.
83.333%
$3 -500 in the 9% and $2 -500 in the 7%.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
6. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
3/2 - 5/3
4725
90
1 & 37/132
7. What are the integers?
(a - b)(a + b)
All numbers multiples of 1.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
8. What is the graph of f(x) shifted downward c units or spaces?
13
An arc is a portion of a circumference of a circle.
F(x) - c
x^(6-3) = x^3
9. What is the 'Range' of a series of numbers?
Its last two digits are divisible by 4.
1
The greatest value minus the smallest.
2
10. Legs: 3 - 4. Hypotenuse?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
5
x(x - y + 1)
Angle/360 x (pi)r^2
11. 5/6 in percent?
9 : 25
5
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.
83.333%
12. How to find the area of a sector?
Angle/360 x (pi)r^2
62.5%
1
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
13. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
13pi / 2
3
6
10! / 3!(10-3)! = 120
14. Can the output value of a function have more than one input value?
(a - b)^2
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Yes. [i.e. f(x) = x^2 - 1
70
15. What is the 'Restricted domain of a function'?
1.0843 X 10^11
When the function is not defined for all real numbers -; only a subset of the real numbers.
y = 2x^2 - 3
4.25 - 6 - 22
16. Define a 'monomial'
Its last two digits are divisible by 4.
12! / 5!7! = 792
72
An expression with just one term (-6x - 2a^2)
17. (-1)^3 =
1
The steeper the slope.
Ax^2 + bx + c where a -b and c are constants and a /=0
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)
18. (x^2)^4
G(x) = {x}
x^(2(4)) =x^8 = (x^4)^2
Divide by 100.
All numbers multiples of 1.
19. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
3
C = (pi)d
1
... the square of the ratios of the corresponding sides.
20. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
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 & 3/7
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
x^(4+7) = x^11
21. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
x^(4+7) = x^11
4:5
4725
10! / 3!(10-3)! = 120
22. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
0
61 - 67
A circle centered on the origin with radius 8.
28. n = 8 - k = 2. n! / k!(n-k)!
23. Can you subtract 3sqrt4 from sqrt4?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Yes - like radicals can be added/subtracted.
71 - 73 - 79
6
24. How to determine percent increase?
Its divisible by 2 and by 3.
x^(6-3) = x^3
A circle centered on the origin with radius 8.
(amount of increase/original price) x 100%
25. What is a minor arc?
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/var/www/html/basicversity.com/show_quiz.php
on line
183
26. 5/8 in percent?
62.5%
... the square of the ratios of the corresponding sides.
.0004809 X 10^11
y = 2x^2 - 3
27. Reduce: 4.8 : 0.8 : 1.6
The greatest value minus the smallest.
6 : 1 : 2
Sqrt 12
From northeast - counterclockwise. I - II - III - IV
28. 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)]?
1/a^6
Its last two digits are divisible by 4.
N! / (n-k)!
True
29. Define an 'expression'.
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)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
...multiply by 100.
C = 2(pi)r
30. What is a major arc?
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/var/www/html/basicversity.com/show_quiz.php
on line
183
31. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
Part = Percent X Whole
7 / 1000
55%
8
32. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
A circle centered at -2 - -2 with radius 3.
12! / 5!7! = 792
Even
8
33. What is the graph of f(x) shifted upward c units or spaces?
No - only like radicals can be added.
F(x) + c
IV
N! / (k!)(n-k)!
34. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
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
Part = Percent X Whole
11 - 13 - 17 - 19
1
35. Evaluate (4^3)^2
55%
4096
1
10
36. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
9 : 25
5 OR -5
$3 -500 in the 9% and $2 -500 in the 7%.
55%
37. Legs 6 - 8. Hypotenuse?
0
The objects within a set.
Relationship cannot be determined (what if x is negative?)
10
38. Simplify the expression [(b^2 - c^2) / (b - c)]
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
53 - 59
(b + c)
A reflection about the axis.
39. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
The two xes after factoring.
55%
2^9 / 2 = 256
71 - 73 - 79
40. What is the ratio of the sides of a 30-60-90 triangle?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
1:sqrt3:2
28. n = 8 - k = 2. n! / k!(n-k)!
Sqrt 12
41. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
Its negative reciprocal. (-b/a)
x^(6-3) = x^3
0
6
42. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
1
3
2sqrt6
A chord is a line segment joining two points on a circle.
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.
.0004809 X 10^11
0
90 degrees
(amount of decrease/original price) x 100%
44. A number is divisible by 6 if...
(b + c)
Its divisible by 2 and by 3.
10! / 3!(10-3)! = 120
Its last two digits are divisible by 4.
45. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
The empty set - denoted by a circle with a diagonal through it.
0
The third side is greater than the difference and less than the sum.
46. 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?
Two equal sides and two equal angles.
1.7
A circle centered on the origin with radius 8.
y = 2x^2 - 3
47. Write 10 -843 X 10^7 in scientific notation
53 - 59
III
1.0843 X 10^11
2sqrt6
48. What is the name of set with a number of elements which cannot be counted?
10! / 3!(10-3)! = 120
Area of the base X height = (pi)hr^2
An infinite set.
Sector area = (n/360) X (pi)r^2
49. x^2 = 9. What is the value of x?
23 - 29
The objects within a set.
3 - -3
130pi
50. Circumference of a circle?
Yes. [i.e. f(x) = x^2 - 1
Infinite.
288 (8 9 4)
Diameter(Pi)