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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. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
The point of intersection of the systems.
12! / 5!7! = 792
180 degrees
441000 = 1 10 10 10 21 * 21
2. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
3 - -3
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
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...
3. 40 < all primes<50
4a^2(b)
F(x-c)
12sqrt2
41 - 43 - 47
4. 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?
87.5%
I
Pi is the ratio of a circle'S circumference to its diameter.
52
5. Can you add sqrt 3 and sqrt 5?
C = (pi)d
70
No - only like radicals can be added.
53 - 59
6. 0^0
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Even
Undefined
67 - 71 - 73
7. 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)?
y = (x + 5)/2
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Relationship cannot be determined (what if x is negative?)
2sqrt6
8. What are 'Supplementary angles?'
A 30-60-90 triangle.
Two angles whose sum is 180.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Factors are few - multiples are many.
9. 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?
A chord is a line segment joining two points on a circle.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
48
4a^2(b)
10. 60 < all primes <70
61 - 67
11 - 13 - 17 - 19
4096
71 - 73 - 79
11. Legs 5 - 12. Hypotenuse?
Two angles whose sum is 180.
13
x= (1.2)(.8)lw
y = 2x^2 - 3
12. How to determine percent decrease?
2(pi)r^2 + 2(pi)rh
The point of intersection of the systems.
(amount of decrease/original price) x 100%
A = I (1 + rt)
13. To multiply a number by 10^x
(a - b)(a + b)
1:sqrt3:2
$3 -500 in the 9% and $2 -500 in the 7%.
Move the decimal point to the right x places
14. 7/8 in percent?
Pi is the ratio of a circle'S circumference to its diameter.
87.5%
From northeast - counterclockwise. I - II - III - IV
A reflection about the origin.
15. (-1)^3 =
F(x + c)
1
The direction of the inequality is reversed.
An arc is a portion of a circumference of a circle.
16. Max and Min lengths for a side of a triangle?
9 : 25
The third side is greater than the difference and less than the sum.
0
(a - b)(a + b)
17. What is the formula for compounded interest?
23 - 29
A set with a number of elements which can be counted.
Its last two digits are divisible by 4.
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.
18. What percent of 40 is 22?
55%
Two angles whose sum is 180.
No - only like radicals can be added.
Undefined
19. 413.03 x 10^(-4) =
413.03 / 10^4 (move the decimal point 4 places to the left)
9 : 25
288 (8 9 4)
Its divisible by 2 and by 3.
20. Which quadrant is the upper right hand?
52
I
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
21. 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?
9 & 6/7
1:1:sqrt2
75:11
y = 2x^2 - 3
22. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1
5
The empty set - denoted by a circle with a diagonal through it.
I
23. Solve the quadratic equation ax^2 + bx + c= 0
Even
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
The shortest arc between points A and B on a circle'S diameter.
The objects within a set.
24. What is the set of elements found in both A and B?
Undefined - because we can'T divide by 0.
4:5
The interesection of A and B.
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)
25. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
C = (pi)d
2 & 3/7
Undefined
Its last two digits are divisible by 4.
26. Legs: 3 - 4. Hypotenuse?
90 degrees
5
$11 -448
A reflection about the origin.
27. 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?
The sum of its digits is divisible by 3.
N! / (n-k)!
1:1:sqrt2
(n-2) x 180
28. a^2 - 2ab + b^2
7 / 1000
The point of intersection of the systems.
(a - b)^2
75:11
29. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
True
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)
13pi / 2
...multiply by 100.
30. 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
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
18
10
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
31. What is the name for a grouping of the members within a set based on a shared characteristic?
Indeterminable.
2^9 / 2 = 256
A subset.
(a - b)(a + b)
32. To convert a percent to a fraction....
The second graph is less steep.
Divide by 100.
1:1:sqrt2
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
33. Define a 'Term' -
Sector area = (n/360) X (pi)r^2
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)
12sqrt2
90
34. What is the surface area of a cylinder with radius 5 and height 8?
Undefined
130pi
16.6666%
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...
35. Evaluate 3& 2/7 / 1/3
x(x - y + 1)
1.0843 X 10^11
1/(x^y)
9 & 6/7
36. 5x^2 - 35x -55 = 0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Two angles whose sum is 90.
(a - b)^2
4a^2(b)
37. What is the graph of f(x) shifted downward c units or spaces?
1
F(x) - c
37.5%
2^9 / 2 = 256
38. Volume for a cylinder?
0
Area of the base X height = (pi)hr^2
Two angles whose sum is 180.
62.5%
39. 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?
Two equal sides and two equal angles.
2.592 kg
Part = Percent X Whole
6
40. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
70
13
90pi
41. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
The curve opens upward and the vertex is the minimal point on the graph.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
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)
G(x) = {x}
42. What are the members or elements of a set?
All numbers multiples of 1.
The objects within a set.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
Lies opposite the greater angle
43. What is a finite set?
A set with a number of elements which can be counted.
Its negative reciprocal. (-b/a)
An angle which is supplementary to an interior angle.
F(x-c)
44. (-1)^2 =
1
x^(4+7) = x^11
The set of elements found in both A and B.
Part = Percent X Whole
45. 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?
500
9 : 25
10! / 3!(10-3)! = 120
A = pi(r^2)
46. Find the surface area of a cylinder with radius 3 and height 12.
90pi
441000 = 1 10 10 10 21 * 21
13
An expression with just one term (-6x - 2a^2)
47. What is the 'Range' of a series of numbers?
1
A set with no members - denoted by a circle with a diagonal through it.
The greatest value minus the smallest.
I
48. Length of an arc of a circle?
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)
The greatest value minus the smallest.
5
Angle/360 x 2(pi)r
49. 2sqrt4 + sqrt4 =
13pi / 2
3sqrt4
.0004809 X 10^11
Lies opposite the greater angle
50. How to find the circumference of a circle which circumscribes a square?
28. n = 8 - k = 2. n! / k!(n-k)!
The set of elements which can be found in either A or B.
A chord is a line segment joining two points on a circle.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).