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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 the set of elements found in both A and B?
Two angles whose sum is 180.
48
The interesection of A and B.
Its last two digits are divisible by 4.
2. a^2 - b^2
The set of input values for a function.
The set of output values for a function.
(a - b)(a + b)
2(pi)r^2 + 2(pi)rh
3. 1/8 in percent?
12.5%
1:1:sqrt2
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
0
4. Legs 5 - 12. Hypotenuse?
The curve opens upward and the vertex is the minimal point on the graph.
A central angle is an angle formed by 2 radii.
130pi
13
5. What is a parabola?
75:11
Two angles whose sum is 180.
Ax^2 + bx + c where a -b and c are constants and a /=0
52
6. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
3
4096
An infinite set.
4:5
7. Length of an arc of a circle?
x(x - y + 1)
(n-2) x 180
Indeterminable.
Angle/360 x 2(pi)r
8. Order of quadrants:
Move the decimal point to the right x places
... the square of the ratios of the corresponding sides.
From northeast - counterclockwise. I - II - III - IV
41 - 43 - 47
9. What is a central angle?
The two xes after factoring.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
A central angle is an angle formed by 2 radii.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
10. What is an isoceles triangle?
1.0843 X 10^11
Two equal sides and two equal angles.
A set with a number of elements which can be counted.
The overlapping sections.
11. Solve the quadratic equation ax^2 + bx + c= 0
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
II
1
288 (8 9 4)
12. What is the 'union' of A and B?
Part = Percent X Whole
The set of elements which can be found in either A or B.
The interesection of A and B.
The point of intersection of the systems.
13. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
F(x) - c
A 30-60-90 triangle.
x^(4+7) = x^11
1:sqrt3:2
14. What is an arc of a circle?
The curve opens upward and the vertex is the minimal point on the graph.
87.5%
Relationship cannot be determined (what if x is negative?)
An arc is a portion of a circumference of a circle.
15. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
F(x) + c
55%
C = (pi)d
16. What is the 'Restricted domain of a function'?
When the function is not defined for all real numbers -; only a subset of the real numbers.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
The overlapping sections.
x^(6-3) = x^3
17. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
Its divisible by 2 and by 3.
28. n = 8 - k = 2. n! / k!(n-k)!
4:5
The curve opens upward and the vertex is the minimal point on the graph.
18. What is the surface area of a cylinder with radius 5 and height 8?
The sum of its digits is divisible by 3.
180 degrees
y = 2x^2 - 3
130pi
19. What is an exterior angle?
A central angle is an angle formed by 2 radii.
1
The set of input values for a function.
An angle which is supplementary to an interior angle.
20. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
4a^2(b)
The curve opens upward and the vertex is the minimal point on the graph.
3sqrt4
1
21. What is the sum of the angles of a triangle?
F(x-c)
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
180 degrees
True
22. (6sqrt3) x (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
No - only like radicals can be added.
90pi
12! / 5!7! = 792
23. If an inequality is multiplied or divided by a negative number....
IV
The direction of the inequality is reversed.
Two angles whose sum is 180.
A circle centered on the origin with radius 8.
24. Find the surface area of a cylinder with radius 3 and height 12.
(a - b)(a + b)
A set with a number of elements which can be counted.
61 - 67
90pi
25. 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?
y = (x + 5)/2
(amount of increase/original price) x 100%
The two xes after factoring.
9 : 25
26. 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?
23 - 29
48
An infinite set.
62.5%
27. What is the graph of f(x) shifted right c units or spaces?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
A reflection about the axis.
F(x-c)
16.6666%
28. What is a tangent?
The interesection of A and B.
A tangent is a line that only touches one point on the circumference of a circle.
Area of the base X height = (pi)hr^2
87.5%
29. What are 'Supplementary angles?'
1
Two angles whose sum is 180.
4.25 - 6 - 22
Even
30. What is the slope of a horizontal line?
When the function is not defined for all real numbers -; only a subset of the real numbers.
0
Angle/360 x 2(pi)r
The objects within a set.
31. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
Yes - like radicals can be added/subtracted.
The interesection of A and B.
2^9 / 2 = 256
31 - 37
32. Can you subtract 3sqrt4 from sqrt4?
Area of the base X height = (pi)hr^2
2.592 kg
Yes - like radicals can be added/subtracted.
(a + b)^2
33. Volume for a cylinder?
A subset.
1
3sqrt4
Area of the base X height = (pi)hr^2
34. 50 < all primes< 60
1:sqrt3:2
90 degrees
The sum of digits is divisible by 9.
53 - 59
35. 8.84 / 5.2
1.7
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
10! / (10-3)! = 720
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
36. 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?
75:11
True
1
Sqrt 12
37. How many sides does a hexagon have?
6
2sqrt6
Lies opposite the greater angle
83.333%
38. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
90 degrees
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
The set of elements found in both A and B.
39. 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?
1/2 times 7/3
441000 = 1 10 10 10 21 * 21
A grouping of the members within a set based on a shared characteristic.
Two angles whose sum is 90.
40. What are the irrational numbers?
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41. What is the graph of f(x) shifted downward c units or spaces?
Triangles with same measure and same side lengths.
(amount of decrease/original price) x 100%
3sqrt4
F(x) - c
42. a^2 - b^2 =
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
41 - 43 - 47
(a - b)(a + b)
A circle centered at -2 - -2 with radius 3.
43. Simplify the expression (p^2 - q^2)/ -5(q - p)
x^(6-3) = x^3
x= (1.2)(.8)lw
(p + q)/5
N! / (k!)(n-k)!
44. A number is divisible by 9 if...
The sum of digits is divisible by 9.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
18
1:sqrt3:2
45. What are the integers?
All numbers multiples of 1.
90pi
9 : 25
1
46. What is the ratio of the sides of a 30-60-90 triangle?
18
An arc is a portion of a circumference of a circle.
1:sqrt3:2
52
47. What is the 'domain' of a function?
The set of input values for a function.
A chord is a line segment joining two points on a circle.
The empty set - denoted by a circle with a diagonal through it.
4725
48. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
72
2 & 3/7
The set of output values for a function.
4:5
49. Surface area for a cylinder?
A set with no members - denoted by a circle with a diagonal through it.
2(pi)r^2 + 2(pi)rh
13pi / 2
Angle/360 x 2(pi)r
50. 7/8 in percent?
87.5%
The overlapping sections.
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)
75:11