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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 'Range' of a series of numbers?
The greatest value minus the smallest.
52
Area of the base X height = (pi)hr^2
(a + b)^2
2. To convert a percent to a fraction....
x(x - y + 1)
41 - 43 - 47
90 degrees
Divide by 100.
3. a^2 - b^2
(a - b)(a + b)
From northeast - counterclockwise. I - II - III - IV
12! / 5!7! = 792
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
4. A number is divisible by 4 is...
18
0
...multiply by 100.
Its last two digits are divisible by 4.
5. Convert 0.7% to a fraction.
The curve opens downward and the vertex is the maximum point on the graph.
7 / 1000
y = (x + 5)/2
x(x - y + 1)
6. Number of degrees in a triangle
180
x^(6-3) = x^3
Divide by 100.
No - the input value has exactly one output.
7. What is the graph of f(x) shifted left c units or spaces?
4.25 - 6 - 22
F(x + c)
F(x) - c
(a - b)^2
8. Order of quadrants:
From northeast - counterclockwise. I - II - III - IV
x= (1.2)(.8)lw
The set of output values for a function.
0
9. What is an arc of a circle?
An arc is a portion of a circumference of a circle.
1
Infinite.
Pi is the ratio of a circle'S circumference to its diameter.
10. Which quadrant is the lower left hand?
...multiply by 100.
III
(a + b)^2
67 - 71 - 73
11. Formula of rectangle where l increases by 20% and w decreases by 20%
27^(-4)
x= (1.2)(.8)lw
The interesection of A and B.
y = 2x^2 - 3
12. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
y = 2x^2 - 3
10! / (10-3)! = 720
The greatest value minus the smallest.
Part = Percent X Whole
13. What is the 'Solution' for a system of linear equations?
All numbers multiples of 1.
441000 = 1 10 10 10 21 * 21
The point of intersection of the systems.
Part = Percent X Whole
14. 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?
67 - 71 - 73
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
Undefined
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
15. 30< all primes<40
... the square of the ratios of the corresponding sides.
31 - 37
(base*height) / 2
Cd
16. What are complementary angles?
Two angles whose sum is 90.
C = (pi)d
x(x - y + 1)
2.592 kg
17. Formula to find a circle'S circumference from its diameter?
A reflection about the axis.
1/(x^y)
Sqrt 12
C = (pi)d
18. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
The shortest arc between points A and B on a circle'S diameter.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
0
2 & 3/7
19. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
6 : 1 : 2
31 - 37
7 / 1000
10! / 3!(10-3)! = 120
20. 60 < all primes <70
61 - 67
x= (1.2)(.8)lw
Two angles whose sum is 180.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
21. How to find the area of a sector?
Angle/360 x (pi)r^2
Area of the base X height = (pi)hr^2
The interesection of A and B.
A circle centered at -2 - -2 with radius 3.
22. Which is greater? 27^(-4) or 9^(-8)
.0004809 X 10^11
9 : 25
27^(-4)
When the function is not defined for all real numbers -; only a subset of the real numbers.
23. 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?
Even
70
500
1
24. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
True
The direction of the inequality is reversed.
$11 -448
An expression with just one term (-6x - 2a^2)
25. Can you simplify sqrt72?
90pi
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
6 : 1 : 2
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
26. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
75:11
Ax^2 + bx + c where a -b and c are constants and a /=0
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
27. Which quadrant is the upper left hand?
II
The overlapping sections.
A tangent is a line that only touches one point on the circumference of a circle.
(amount of decrease/original price) x 100%
28. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
413.03 / 10^4 (move the decimal point 4 places to the left)
The direction of the inequality is reversed.
13pi / 2
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
29. What are congruent triangles?
I
The steeper the slope.
Triangles with same measure and same side lengths.
55%
30. When the 'a' in the parabola is negative...
1.0843 X 10^11
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)
IV
The curve opens downward and the vertex is the maximum point on the graph.
31. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
12.5%
1
A reflection about the axis.
32. What does the graph x^2 + y^2 = 64 look like?
90pi
Yes. [i.e. f(x) = x^2 - 1
A circle centered on the origin with radius 8.
Divide by 100.
33. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
0
1
x^(6-3) = x^3
F(x + c)
34. What is a tangent?
Yes. [i.e. f(x) = x^2 - 1
A tangent is a line that only touches one point on the circumference of a circle.
16.6666%
An isosceles right triangle.
35. Area of a triangle?
2sqrt6
12sqrt2
(base*height) / 2
(a + b)^2
36. Which is greater? 200x^295 or 10x^294?
The point of intersection of the systems.
55%
Relationship cannot be determined (what if x is negative?)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
37. What is the set of elements found in both A and B?
8
A subset.
II
The interesection of A and B.
38. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
2sqrt6
48
9 & 6/7
The shortest arc between points A and B on a circle'S diameter.
39. a^2 + 2ab + b^2
1:sqrt3:2
(a + b)^2
1
31 - 37
40. When the 'a' in a parabola is positive....
$11 -448
The set of elements which can be found in either A or B.
10
The curve opens upward and the vertex is the minimal point on the graph.
41. The objects in a set are called two names:
An angle which is supplementary to an interior angle.
1.0843 X 10^11
Members or elements
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
42. A number is divisible by 9 if...
The sum of digits is divisible by 9.
The shortest arc between points A and B on a circle'S diameter.
An angle which is supplementary to an interior angle.
Two equal sides and two equal angles.
43. Is 0 even or odd?
Even
C = 2(pi)r
1:sqrt3:2
From northeast - counterclockwise. I - II - III - IV
44. Factor a^2 + 2ab + b^2
1
(a + b)^2
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
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)
45. A number is divisible by 6 if...
4725
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.
Its divisible by 2 and by 3.
A 30-60-90 triangle.
46. What is the graph of f(x) shifted upward c units or spaces?
6
No - only like radicals can be added.
F(x) + c
IV
47. Formula to find a circle'S circumference from its radius?
3sqrt4
C = 2(pi)r
A circle centered on the origin with radius 8.
130pi
48. Find the surface area of a cylinder with radius 3 and height 12.
90pi
The set of input values for a function.
87.5%
The objects within a set.
49. What is the sum of the angles of a triangle?
180 degrees
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
61 - 67
The shortest arc between points A and B on a circle'S diameter.
50. What are the integers?
Its negative reciprocal. (-b/a)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
An infinite set.
All numbers multiples of 1.