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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 a chord of a circle?
A chord is a line segment joining two points on a circle.
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
A = pi(r^2)
Relationship cannot be determined (what if x is negative?)
2. To multiply a number by 10^x
Move the decimal point to the right x places
11 - 13 - 17 - 19
(a - b)(a + b)
1
3. What is the 'Range' of a function?
10! / 3!(10-3)! = 120
The set of output values for a function.
The interesection of A and B.
12.5%
4. 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
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
10
2(pi)r^2 + 2(pi)rh
5. 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?
1
413.03 / 10^4 (move the decimal point 4 places to the left)
A tangent is a line that only touches one point on the circumference of a circle.
N! / (n-k)!
6. 40 < all primes<50
41 - 43 - 47
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
7. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
6
Factors are few - multiples are many.
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.
4725
8. Define an 'expression'.
75:11
F(x) - c
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)
1
9. What is a minor arc?
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on line
183
10. The slope of a line perpendicular to (a/b)?
The steeper the slope.
5
...multiply by 100.
Its negative reciprocal. (-b/a)
11. Number of degrees in a triangle
Lies opposite the greater angle
180
x= (1.2)(.8)lw
The steeper the slope.
12. (x^2)^4
28. n = 8 - k = 2. n! / k!(n-k)!
x^(2(4)) =x^8 = (x^4)^2
3 - -3
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
13. 1/6 in percent?
III
13
Diameter(Pi)
16.6666%
14. What is the order of operations?
130pi
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
10! / (10-3)! = 720
An isosceles right triangle.
15. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
5
2sqrt6
A tangent is a line that only touches one point on the circumference of a circle.
No - only like radicals can be added.
16. What is the graph of f(x) shifted downward c units or spaces?
F(x) - c
A subset.
10
1 & 37/132
17. x^2 = 9. What is the value of x?
3 - -3
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
C = (pi)d
87.5%
18. 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?
Pi is the ratio of a circle'S circumference to its diameter.
The third side is greater than the difference and less than the sum.
F(x + c)
52
19. What is the intersection of A and B?
2^9 / 2 = 256
An arc is a portion of a circumference of a circle.
The set of elements found in both A and B.
The union of A and B.
20. 5/8 in percent?
The sum of digits is divisible by 9.
The curve opens downward and the vertex is the maximum point on the graph.
A reflection about the axis.
62.5%
21. What is the 'Solution' for a system of linear equations?
1.7
(b + c)
1
The point of intersection of the systems.
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?
N! / (k!)(n-k)!
(amount of decrease/original price) x 100%
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Two angles whose sum is 180.
23. A number is divisible by 9 if...
$11 -448
1
The sum of digits is divisible by 9.
20.5
24. What is an exterior angle?
Infinite.
A tangent is a line that only touches one point on the circumference of a circle.
(a - b)^2
An angle which is supplementary to an interior angle.
25. Circumference of a circle?
F(x) + c
F(x + c)
Diameter(Pi)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
26. What is a finite set?
A set with a number of elements which can be counted.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
441000 = 1 10 10 10 21 * 21
Angle/360 x (pi)r^2
27. Which quandrant is the lower right hand?
IV
Its divisible by 2 and by 3.
1/2 times 7/3
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
28. Formula to find a circle'S circumference from its diameter?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
(amount of decrease/original price) x 100%
C = (pi)d
A grouping of the members within a set based on a shared characteristic.
29. What is the name for a grouping of the members within a set based on a shared characteristic?
1
The two xes after factoring.
A subset.
C = 2(pi)r
30. 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?
(n-2) x 180
441000 = 1 10 10 10 21 * 21
23 - 29
A reflection about the origin.
31. What is the 'Range' of a series of numbers?
The greatest value minus the smallest.
4725
90pi
F(x-c)
32. The ratio of the areas of two similar polygons is ...
90 degrees
... the square of the ratios of the corresponding sides.
A 30-60-90 triangle.
20.5
33. Can the input value of a function have more than one output value (i.e. x: y - y1)?
180
A 30-60-90 triangle.
10! / (10-3)! = 720
No - the input value has exactly one output.
34. (6sqrt3) x (2sqrt5) =
3
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
An angle which is supplementary to an interior angle.
Yes - like radicals can be added/subtracted.
35. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
Infinite.
62.5%
The second graph is less steep.
36. Find the surface area of a cylinder with radius 3 and height 12.
The curve opens downward and the vertex is the maximum point on the graph.
1/(x^y)
(a - b)(a + b)
90pi
37. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
13
A reflection about the origin.
The second graph is less steep.
3/2 - 5/3
38. What is the surface area of a cylinder with radius 5 and height 8?
130pi
II
Two angles whose sum is 180.
9 : 25
39. x^(-y)=
$11 -448
18
(p + q)/5
1/(x^y)
40. How to determine percent increase?
13
1/(x^y)
441000 = 1 10 10 10 21 * 21
(amount of increase/original price) x 100%
41. To convert a decimal to a percent...
...multiply by 100.
62.5%
288 (8 9 4)
Part = Percent X Whole
42. Evaluate 3& 2/7 / 1/3
9 & 6/7
Move the decimal point to the right x places
A 30-60-90 triangle.
Angle/360 x 2(pi)r
43. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
A set with no members - denoted by a circle with a diagonal through it.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
44. Formula for the area of a circle?
28. n = 8 - k = 2. n! / k!(n-k)!
(amount of increase/original price) x 100%
A = pi(r^2)
1
45. To convert a percent to a fraction....
13
27^(-4)
53 - 59
Divide by 100.
46. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
No - only like radicals can be added.
83.333%
1
47. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
130pi
11 - 13 - 17 - 19
2 & 3/7
(a + b)^2
48. Which is greater? 27^(-4) or 9^(-8)
1
The set of input values for a function.
x(x - y + 1)
27^(-4)
49. Can the output value of a function have more than one input value?
The objects within a set.
The set of input values for a function.
1.0843 X 10^11
Yes. [i.e. f(x) = x^2 - 1
50. (-1)^2 =
413.03 / 10^4 (move the decimal point 4 places to the left)
x(x - y + 1)
Ax^2 + bx + c where a -b and c are constants and a /=0
1