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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. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
Sector area = (n/360) X (pi)r^2
90
2^9 / 2 = 256
10
2. What is a major arc?
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3. 7/8 in percent?
An expression with just one term (-6x - 2a^2)
Sqrt 12
The set of elements found in both A and B.
87.5%
4. What is the 'union' of A and B?
$11 -448
The interesection of A and B.
(a - b)(a + b)
The set of elements which can be found in either A or B.
5. Reduce: 4.8 : 0.8 : 1.6
.0004809 X 10^11
72
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
6 : 1 : 2
6. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
1
Diameter(Pi)
A reflection about the origin.
55%
7. 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?
9 : 25
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
3 - -3
2.592 kg
8. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
Move the decimal point to the right x places
4:5
A = I (1 + rt)
130pi
9. 6w^2 - w - 15 = 0
3/2 - 5/3
A central angle is an angle formed by 2 radii.
x= (1.2)(.8)lw
1
10. How to find the area of a sector?
62.5%
A grouping of the members within a set based on a shared characteristic.
Angle/360 x (pi)r^2
12sqrt2
11. Define a 'monomial'
4:5
An expression with just one term (-6x - 2a^2)
Infinite.
Its negative reciprocal. (-b/a)
12. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
(a - b)(a + b)
7 / 1000
.0004809 X 10^11
52
13. Which quadrant is the upper right hand?
The shortest arc between points A and B on a circle'S diameter.
I
70
3
14. Evaluate (4^3)^2
4096
IV
The second graph is less steep.
413.03 / 10^4 (move the decimal point 4 places to the left)
15. What is the ratio of the sides of a 30-60-90 triangle?
The steeper the slope.
1:sqrt3:2
37.5%
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
16. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
Infinite.
2^9 / 2 = 256
A reflection about the axis.
1
17. a^0 =
Its divisible by 2 and by 3.
1 & 37/132
6 : 1 : 2
1
18. Evaluate 3& 2/7 / 1/3
From northeast - counterclockwise. I - II - III - IV
2^9 / 2 = 256
9 & 6/7
Angle/360 x (pi)r^2
19. What are the irrational numbers?
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20. Circumference of a circle?
Diameter(Pi)
Sector area = (n/360) X (pi)r^2
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
II
21. Describe the relationship between the graphs of x^2 and (1/2)x^2
The second graph is less steep.
3
1
61 - 67
22. How many 3-digit positive integers are even and do not contain the digit 4?
48
288 (8 9 4)
1
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...
23. What is the sum of the angles of a triangle?
288 (8 9 4)
IV
180 degrees
18
24. What is a chord of a circle?
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 chord is a line segment joining two points on a circle.
4725
The two xes after factoring.
25. Which is greater? 64^5 or 16^8
(n-2) x 180
A circle centered on the origin with radius 8.
A central angle is an angle formed by 2 radii.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
26. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
Members or elements
(a + b)^2
The set of elements found in both A and B.
2
27. The slope of a line perpendicular to (a/b)?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The steeper the slope.
1/(x^y)
Its negative reciprocal. (-b/a)
28. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
2sqrt6
A 30-60-90 triangle.
Divide by 100.
Its divisible by 2 and by 3.
29. What are the integers?
90pi
18
All numbers multiples of 1.
The two xes after factoring.
30. 5/6 in percent?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
The third side is greater than the difference and less than the sum.
83.333%
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
31. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
5 OR -5
From northeast - counterclockwise. I - II - III - IV
28. n = 8 - k = 2. n! / k!(n-k)!
Yes - like radicals can be added/subtracted.
32. What is the graph of f(x) shifted downward c units or spaces?
F(x) - c
A grouping of the members within a set based on a shared characteristic.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The overlapping sections.
33. What are congruent triangles?
x(x - y + 1)
N! / (k!)(n-k)!
55%
Triangles with same measure and same side lengths.
34. What is the 'Solution' for a system of linear equations?
72
The point of intersection of the systems.
N! / (n-k)!
.0004809 X 10^11
35. What is the 'domain' of a function?
The set of input values for a function.
True
A reflection about the axis.
Angle/360 x 2(pi)r
36. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
True
53 - 59
4096
2^9 / 2 = 256
37. What are the smallest three prime numbers greater than 65?
I
67 - 71 - 73
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
An infinite set.
38. What is the slope of a vertical line?
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39. 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?
52
The sum of digits is divisible by 9.
A set with a number of elements which can be counted.
N! / (k!)(n-k)!
40. 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?
71 - 73 - 79
441000 = 1 10 10 10 21 * 21
20.5
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
41. Can the input value of a function have more than one output value (i.e. x: y - y1)?
No - the input value has exactly one output.
2sqrt6
12sqrt2
Diameter(Pi)
42. If an inequality is multiplied or divided by a negative number....
$3 -500 in the 9% and $2 -500 in the 7%.
III
y = 2x^2 - 3
The direction of the inequality is reversed.
43. What is the 'Range' of a function?
The set of output values for a function.
The steeper the slope.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Its negative reciprocal. (-b/a)
44. What is a minor arc?
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45. Which is greater? 200x^295 or 10x^294?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
Yes - like radicals can be added/subtracted.
1/2 times 7/3
Relationship cannot be determined (what if x is negative?)
46. What is a central angle?
Two angles whose sum is 180.
A 30-60-90 triangle.
The shortest arc between points A and B on a circle'S diameter.
A central angle is an angle formed by 2 radii.
47. How many sides does a hexagon have?
6
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
An infinite set.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
48. What number between 70 & 75 - inclusive - has the greatest number of factors?
x= (1.2)(.8)lw
1:sqrt3:2
72
I
49. Find the surface area of a cylinder with radius 3 and height 12.
13pi / 2
10! / (10-3)! = 720
...multiply by 100.
90pi
50. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
Two angles whose sum is 90.
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)
1
7 / 1000