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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. Formula of rectangle where l increases by 20% and w decreases by 20%
x= (1.2)(.8)lw
G(x) = {x}
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
(base*height) / 2
2. A number is divisible by 6 if...
The greatest value minus the smallest.
Its divisible by 2 and by 3.
4096
The steeper the slope.
3. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
5
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)
F(x) + c
1
4. What is the order of operations?
4.25 - 6 - 22
Undefined
A chord is a line segment joining two points on a circle.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
5. Simplify (a^2 + b)^2 - (a^2 - b)^2
13
4a^2(b)
G(x) = {x}
A chord is a line segment joining two points on a circle.
6. Factor x^2 - xy + x.
3/2 - 5/3
x(x - y + 1)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
1/a^6
7. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
(a - b)(a + b)
A reflection about the axis.
4725
A chord is a line segment joining two points on a circle.
8. 70 < all primes< 80
(a + b)^2
(base*height) / 2
71 - 73 - 79
Diameter(Pi)
9. How many multiples does a given number have?
Infinite.
48
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
No - only like radicals can be added.
10. A number is divisible by 9 if...
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
Infinite.
The sum of digits is divisible by 9.
2^9 / 2 = 256
11. What is a subset?
1/(x^y)
A grouping of the members within a set based on a shared characteristic.
The union of A and B.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
12. What is the 'union' of A and B?
0
The union of A and B.
The set of elements which can be found in either A or B.
Sector area = (n/360) X (pi)r^2
13. What is the maximum value for the function g(x) = (-2x^2) -1?
1/(x^y)
.0004809 X 10^11
1
Members or elements
14. The number of degrees in the largest angle of a triangle inscribed in a circle - in which the diameter of the circle is one side of the triangle.
C = (pi)d
90 degrees
48
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
15. 20<all primes<30
7 / 1000
23 - 29
13pi / 2
62.5%
16. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
Sector area = (n/360) X (pi)r^2
Yes - like radicals can be added/subtracted.
Sqrt 12
17. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
3
180
1
G(x) = {x}
18. a^2 + 2ab + b^2
2 & 3/7
C = (pi)d
A central angle is an angle formed by 2 radii.
(a + b)^2
19. What is the side length of an equilateral triangle with altitude 6?
71 - 73 - 79
72
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...
A central angle is an angle formed by 2 radii.
20. 7/8 in percent?
10! / (10-3)! = 720
87.5%
90pi
The point of intersection of the systems.
21. What are the roots of the quadrinomial x^2 + 2x + 1?
The two xes after factoring.
0
The greatest value minus the smallest.
The direction of the inequality is reversed.
22. What is a finite set?
10
62.5%
The second graph is less steep.
A set with a number of elements which can be counted.
23. What are complementary angles?
413.03 / 10^4 (move the decimal point 4 places to the left)
10
(a - b)(a + b)
Two angles whose sum is 90.
24. Describe the relationship between the graphs of x^2 and (1/2)x^2
Ax^2 + bx + c where a -b and c are constants and a /=0
The second graph is less steep.
72
A tangent is a line that only touches one point on the circumference of a circle.
25. Define a 'Term' -
Yes. [i.e. f(x) = x^2 - 1
6 : 1 : 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)
1:sqrt3:2
26. 3/8 in percent?
An angle which is supplementary to an interior angle.
18
5
37.5%
27. Simplify the expression (p^2 - q^2)/ -5(q - p)
N! / (k!)(n-k)!
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
(p + q)/5
55%
28. What is a parabola?
Ax^2 + bx + c where a -b and c are constants and a /=0
All numbers multiples of 1.
1.0843 X 10^11
An infinite set.
29. Surface area for a cylinder?
48
A central angle is an angle formed by 2 radii.
Cd
2(pi)r^2 + 2(pi)rh
30. Is 0 even or odd?
An arc is a portion of a circumference of a circle.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
N! / (k!)(n-k)!
Even
31. What is the formula for computing simple interest?
A = I (1 + rt)
1/(x^y)
130pi
x^(4+7) = x^11
32. What is an exterior angle?
C = (pi)d
An angle which is supplementary to an interior angle.
F(x-c)
13pi / 2
33. What is a piecewise equation?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
90 degrees
y = 2x^2 - 3
N! / (k!)(n-k)!
34. The slope of a line perpendicular to (a/b)?
Yes. [i.e. f(x) = x^2 - 1
Its negative reciprocal. (-b/a)
(b + c)
When the function is not defined for all real numbers -; only a subset of the real numbers.
35. P and r are factors of 100. What is greater - pr or 100?
The direction of the inequality is reversed.
The steeper the slope.
x(x - y + 1)
Indeterminable.
36. How to find the area of a sector?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Angle/360 x (pi)r^2
Sector area = (n/360) X (pi)r^2
1
37. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1
The steeper the slope.
1.7
288 (8 9 4)
38. Which quadrant is the upper right hand?
12! / 5!7! = 792
I
37.5%
4.25 - 6 - 22
39. Define an 'expression'.
(a - b)(a + b)
75:11
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)
The curve opens downward and the vertex is the maximum point on the graph.
40. 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
16.6666%
The sum of digits is divisible by 9.
Diameter(Pi)
41. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
A set with no members - denoted by a circle with a diagonal through it.
The two xes after factoring.
F(x) + c
42. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
5 OR -5
75:11
4:5
The interesection of A and B.
43. Pi is a ratio of what to what?
44. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
413.03 / 10^4 (move the decimal point 4 places to the left)
500
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
8
45. What is the graph of f(x) shifted right c units or spaces?
Undefined
A reflection about the axis.
F(x-c)
31 - 37
46. A number is divisible by 3 if ...
A tangent is a line that only touches one point on the circumference of a circle.
The sum of its digits is divisible by 3.
4a^2(b)
The shortest arc between points A and B on a circle'S diameter.
47. a^2 - 2ab + b^2
4a^2(b)
12! / 5!7! = 792
(a - b)^2
1/2 times 7/3
48. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
6
IV
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
2^9 / 2 = 256
49. What is the slope of a horizontal line?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
0
(a + b)^2
(amount of increase/original price) x 100%
50. Factor a^2 + 2ab + b^2
The set of elements found in both A and B.
(a + b)^2
The curve opens downward and the vertex is the maximum point on the graph.
1