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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
53 - 59
A reflection about the axis.
No - only like radicals can be added.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
2. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
Two equal sides and two equal angles.
288 (8 9 4)
$3 -500 in the 9% and $2 -500 in the 7%.
4725
3. 60 < all primes <70
Pi is the ratio of a circle'S circumference to its diameter.
61 - 67
23 - 29
A subset.
4. Is 0 even or odd?
A tangent is a line that only touches one point on the circumference of a circle.
(a - b)(a + b)
41 - 43 - 47
Even
5. Circumference of a circle?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
3sqrt4
13
Diameter(Pi)
6. What is the graph of f(x) shifted left c units or spaces?
$11 -448
F(x + c)
Its divisible by 2 and by 3.
53 - 59
7. If the two sides of a triangle are unequal then the longer side...
Area of the base X height = (pi)hr^2
Infinite.
Lies opposite the greater angle
Two angles whose sum is 90.
8. What is the 'Range' of a series of numbers?
90pi
The greatest value minus the smallest.
Factors are few - multiples are many.
The objects within a set.
9. What is the sum of the angles of a triangle?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
2^9 / 2 = 256
180 degrees
10. 70 < all primes< 80
The direction of the inequality is reversed.
71 - 73 - 79
83.333%
Yes - like radicals can be added/subtracted.
11. A number is divisible by 9 if...
The sum of digits is divisible by 9.
An expression with just one term (-6x - 2a^2)
1/(x^y)
The two xes after factoring.
12. What is the set of elements found in both A and B?
Relationship cannot be determined (what if x is negative?)
Part = Percent X Whole
The interesection of A and B.
12! / 5!7! = 792
13. What is the measure of an exterior angle of a regular pentagon?
Factors are few - multiples are many.
72
1
441000 = 1 10 10 10 21 * 21
14. 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)?
(a - b)(a + b)
90 degrees
41 - 43 - 47
y = (x + 5)/2
15. x^6 / x^3
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
x^(6-3) = x^3
2
Two angles whose sum is 180.
16. Which quandrant is the lower right hand?
3/2 - 5/3
IV
Infinite.
The shortest arc between points A and B on a circle'S diameter.
17. Legs: 3 - 4. Hypotenuse?
An angle which is supplementary to an interior angle.
5
A set with no members - denoted by a circle with a diagonal through it.
441000 = 1 10 10 10 21 * 21
18. Surface area for a cylinder?
No - the input value has exactly one output.
A reflection about the origin.
62.5%
2(pi)r^2 + 2(pi)rh
19. In a regular polygon with n sides - the formula for the sum of interior angles
(n-2) x 180
6 : 1 : 2
The overlapping sections.
Part = Percent X Whole
20. What is the side length of an equilateral triangle with altitude 6?
3sqrt4
The overlapping sections.
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...
The second graph is less steep.
21. What are the roots of the quadrinomial x^2 + 2x + 1?
Its divisible by 2 and by 3.
(base*height) / 2
Move the decimal point to the right x places
The two xes after factoring.
22. Volume for a cylinder?
61 - 67
6
Area of the base X height = (pi)hr^2
Move the decimal point to the right x places
23. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
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.
An expression with just one term (-6x - 2a^2)
90pi
24. a^2 - b^2
37.5%
5
(a - b)(a + b)
G(x) = {x}
25. x^4 + x^7 =
x^(6-3) = x^3
1
Lies opposite the greater angle
x^(4+7) = x^11
26. To convert a decimal to a percent...
II
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)
...multiply by 100.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
27. Can you subtract 3sqrt4 from sqrt4?
16.6666%
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
18
Yes - like radicals can be added/subtracted.
28. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
A circle centered at -2 - -2 with radius 3.
4:5
IV
29. What is the 'Restricted domain of a function'?
An arc is a portion of a circumference of a circle.
4.25 - 6 - 22
1:1:sqrt2
When the function is not defined for all real numbers -; only a subset of the real numbers.
30. Simplify the expression (p^2 - q^2)/ -5(q - p)
4.25 - 6 - 22
(p + q)/5
37.5%
An infinite set.
31. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
180
$11 -448
27^(-4)
2(pi)r^2 + 2(pi)rh
32. Legs 6 - 8. Hypotenuse?
10
3sqrt4
6
The point of intersection of the systems.
33. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
A circle centered at -2 - -2 with radius 3.
The second graph is less steep.
(b + c)
All numbers multiples of 1.
34. Simplify 9^(1/2) X 4^3 X 2^(-6)?
3
Yes - like radicals can be added/subtracted.
.0004809 X 10^11
6
35. 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?
.0004809 X 10^11
Two angles whose sum is 180.
52
The greatest value minus the smallest.
36. Formula of rectangle where l increases by 20% and w decreases by 20%
$3 -500 in the 9% and $2 -500 in the 7%.
130pi
The overlapping sections.
x= (1.2)(.8)lw
37. A number is divisible by 3 if ...
(a - b)(a + b)
4725
An infinite set.
The sum of its digits is divisible by 3.
38. What is the 'Range' of a function?
(base*height) / 2
(b + c)
The set of output values for a function.
A grouping of the members within a set based on a shared characteristic.
39. 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?
2^9 / 2 = 256
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
9 : 25
The point of intersection of the systems.
40. Define a 'monomial'
13
61 - 67
An expression with just one term (-6x - 2a^2)
A chord is a line segment joining two points on a circle.
41. Which quadrant is the upper right hand?
I
10! / 3!(10-3)! = 120
31 - 37
288 (8 9 4)
42. What is an exterior angle?
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)
The set of elements which can be found in either A or B.
III
An angle which is supplementary to an interior angle.
43. What is an arc of a circle?
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.
A reflection about the axis.
37.5%
An arc is a portion of a circumference of a circle.
44. What is the graph of f(x) shifted upward c units or spaces?
The set of elements found in both A and B.
7 / 1000
F(x) + c
13
45. 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?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
75:11
0
A central angle is an angle formed by 2 radii.
46. What is the name for a grouping of the members within a set based on a shared characteristic?
61 - 67
y = (x + 5)/2
A subset.
$11 -448
47. Formula to find a circle'S circumference from its diameter?
Two angles whose sum is 180.
C = (pi)d
2.592 kg
(p + q)/5
48. Length of an arc of a circle?
Even
Angle/360 x 2(pi)r
3
13
49. 3/8 in percent?
180
37.5%
20.5
The shortest arc between points A and B on a circle'S diameter.
50. What are 'Supplementary angles?'
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Two angles whose sum is 180.
Undefined
53 - 59