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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. 50 < all primes< 60
The longest arc between points A and B on a circle'S diameter.
Yes. [i.e. f(x) = x^2 - 1
53 - 59
62.5%
2. What is the slope of a vertical line?
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3. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
Sqrt 12
10
(a - b)(a + b)
20.5
4. Factor x^2 - xy + x.
... the square of the ratios of the corresponding sides.
Triangles with same measure and same side lengths.
C = (pi)d
x(x - y + 1)
5. 413.03 x 10^(-4) =
413.03 / 10^4 (move the decimal point 4 places to the left)
3 - -3
6
An angle which is supplementary to an interior angle.
6. 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?
Diameter(Pi)
2.592 kg
The empty set - denoted by a circle with a diagonal through it.
11 - 13 - 17 - 19
7. What is a subset?
1
A grouping of the members within a set based on a shared characteristic.
2(pi)r^2 + 2(pi)rh
288 (8 9 4)
8. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
0
75:11
x^(2(4)) =x^8 = (x^4)^2
Factors are few - multiples are many.
9. What is a central angle?
A central angle is an angle formed by 2 radii.
The shortest arc between points A and B on a circle'S diameter.
(amount of increase/original price) x 100%
The greatest value minus the smallest.
10. Reduce: 4.8 : 0.8 : 1.6
A 30-60-90 triangle.
2sqrt6
9 : 25
6 : 1 : 2
11. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
F(x-c)
A grouping of the members within a set based on a shared characteristic.
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...
28. n = 8 - k = 2. n! / k!(n-k)!
12. x^4 + x^7 =
C = 2(pi)r
x^(4+7) = x^11
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The point of intersection of the systems.
13. Max and Min lengths for a side of a triangle?
Area of the base X height = (pi)hr^2
The third side is greater than the difference and less than the sum.
(base*height) / 2
(amount of decrease/original price) x 100%
14. 5/6 in percent?
83.333%
A = pi(r^2)
(a + b)^2
90 degrees
15. x^6 / x^3
x^(6-3) = x^3
180 degrees
1/(x^y)
Sqrt 12
16. What is the percent formula?
Part = Percent X Whole
Sector area = (n/360) X (pi)r^2
Undefined
55%
17. Which quadrant is the upper left hand?
II
1/(x^y)
An expression with just one term (-6x - 2a^2)
500
18. x^(-y)=
6 : 1 : 2
1/(x^y)
The second graph is less steep.
x= (1.2)(.8)lw
19. 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
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
18
x^(2(4)) =x^8 = (x^4)^2
x(x - y + 1)
20. If an inequality is multiplied or divided by a negative number....
A subset.
1/a^6
The direction of the inequality is reversed.
5 OR -5
21. What are the roots of the quadrinomial x^2 + 2x + 1?
1:sqrt3:2
The direction of the inequality is reversed.
4a^2(b)
The two xes after factoring.
22. 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?
53 - 59
87.5%
$11 -448
N! / (k!)(n-k)!
23. What number between 70 & 75 - inclusive - has the greatest number of factors?
(amount of decrease/original price) x 100%
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Triangles with same measure and same side lengths.
72
24. To convert a percent to a fraction....
441000 = 1 10 10 10 21 * 21
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
Divide by 100.
Two angles whose sum is 90.
25. Which is greater? 27^(-4) or 9^(-8)
23 - 29
27^(-4)
Ax^2 + bx + c where a -b and c are constants and a /=0
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
26. The ratio of the areas of two similar polygons is ...
(a + b)^2
... the square of the ratios of the corresponding sides.
Two angles whose sum is 180.
A circle centered on the origin with radius 8.
27. Convert 0.7% to a fraction.
7 / 1000
28. n = 8 - k = 2. n! / k!(n-k)!
x(x - y + 1)
12.5%
28. What are the irrational numbers?
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29. Can the output value of a function have more than one input value?
13
Yes. [i.e. f(x) = x^2 - 1
A tangent is a line that only touches one point on the circumference of a circle.
A reflection about the axis.
30. Define a 'monomial'
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
3 - -3
No - only like radicals can be added.
An expression with just one term (-6x - 2a^2)
31. The objects in a set are called two names:
The third side is greater than the difference and less than the sum.
Members or elements
The interesection of A and B.
The point of intersection of the systems.
32. Simplify 9^(1/2) X 4^3 X 2^(-6)?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
3
...multiply by 100.
A = I (1 + rt)
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)]
(a - b)(a + b)
A set with no members - denoted by a circle with a diagonal through it.
0
87.5%
34. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
All numbers multiples of 1.
1/2 times 7/3
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
A circle centered on the origin with radius 8.
35. (x^2)^4
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
1
When the function is not defined for all real numbers -; only a subset of the real numbers.
x^(2(4)) =x^8 = (x^4)^2
36. 1/6 in percent?
53 - 59
16.6666%
12sqrt2
Members or elements
37. 6w^2 - w - 15 = 0
A chord is a line segment joining two points on a circle.
3/2 - 5/3
III
1:1:sqrt2
38. The larger the absolute value of the slope...
The steeper the slope.
C = (pi)d
The curve opens upward and the vertex is the minimal point on the graph.
Its negative reciprocal. (-b/a)
39. Factor a^2 + 2ab + b^2
An infinite set.
The set of elements which can be found in either A or B.
A reflection about the origin.
(a + b)^2
40. What is the surface area of a cylinder with radius 5 and height 8?
4.25 - 6 - 22
75:11
The steeper the slope.
130pi
41. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
2(pi)r^2 + 2(pi)rh
C = 2(pi)r
90 degrees
42. How to find the diagonal of a rectangular solid?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
2
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
A set with a number of elements which can be counted.
43. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
Part = Percent X Whole
48
The objects within a set.
44. Is 0 even or odd?
Its last two digits are divisible by 4.
Its negative reciprocal. (-b/a)
Even
1
45. (-1)^2 =
A 30-60-90 triangle.
Indeterminable.
31 - 37
1
46. Solve the quadratic equation ax^2 + bx + c= 0
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
.0004809 X 10^11
47. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
True
A subset.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
48. 1/2 divided by 3/7 is the same as
No - only like radicals can be added.
83.333%
1/2 times 7/3
A 30-60-90 triangle.
49. 5x^2 - 35x -55 = 0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
12.5%
72
y = 2x^2 - 3
50. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
N! / (n-k)!
4:5
A chord is a line segment joining two points on a circle.
1