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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. When does a function automatically have a restricted domain (2)?
10! / (10-3)! = 720
Sector area = (n/360) X (pi)r^2
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Sqrt 12
2. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
All numbers multiples of 1.
28. n = 8 - k = 2. n! / k!(n-k)!
The greatest value minus the smallest.
No - only like radicals can be added.
3. 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?
10! / 3!(10-3)! = 120
$11 -448
500
An infinite set.
4. x^4 + x^7 =
9 & 6/7
x^(4+7) = x^11
A reflection about the origin.
(base*height) / 2
5. How to find the area of a sector?
Angle/360 x (pi)r^2
A set with no members - denoted by a circle with a diagonal through it.
75:11
A grouping of the members within a set based on a shared characteristic.
6. (a^-1)/a^5
18
A circle centered on the origin with radius 8.
The union of A and B.
1/a^6
7. 1/8 in percent?
4096
When the function is not defined for all real numbers -; only a subset of the real numbers.
75:11
12.5%
8. What is the ratio of the sides of an isosceles right triangle?
1:1:sqrt2
$3 -500 in the 9% and $2 -500 in the 7%.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
6 : 1 : 2
9. What is the 'union' of A and B?
The set of elements which can be found in either A or B.
9 : 25
13
13pi / 2
10. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
A chord is a line segment joining two points on a circle.
A grouping of the members within a set based on a shared characteristic.
Angle/360 x (pi)r^2
11. 70 < all primes< 80
A circle centered on the origin with radius 8.
An isosceles right triangle.
Divide by 100.
71 - 73 - 79
12. What is a set with no members called?
288 (8 9 4)
G(x) = {x}
The empty set - denoted by a circle with a diagonal through it.
True
13. What is the set of elements which can be found in either A or B?
The union of A and B.
2.592 kg
Its divisible by 2 and by 3.
(a + b)^2
14. 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)
(p + q)/5
4725
An isosceles right triangle.
15. The ratio of the areas of two similar polygons is ...
8
... the square of the ratios of the corresponding sides.
No - the input value has exactly one output.
The sum of digits is divisible by 9.
16. Define a 'Term' -
Indeterminable.
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)
III
No - the input value has exactly one output.
17. What is the empty set?
A grouping of the members within a set based on a shared characteristic.
3 - -3
Two equal sides and two equal angles.
A set with no members - denoted by a circle with a diagonal through it.
18. What is a piecewise equation?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
An isosceles right triangle.
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.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
19. What are 'Supplementary angles?'
An isosceles right triangle.
A chord is a line segment joining two points on a circle.
Two angles whose sum is 180.
An infinite set.
20. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
10! / (10-3)! = 720
0
y = 2x^2 - 3
Infinite.
21. What is a parabola?
Ax^2 + bx + c where a -b and c are constants and a /=0
1
(a - b)(a + b)
F(x-c)
22. Reduce: 4.8 : 0.8 : 1.6
180 degrees
An angle which is supplementary to an interior angle.
6 : 1 : 2
The direction of the inequality is reversed.
23. Evaluate (4^3)^2
Members or elements
6
4096
The sum of digits is divisible by 9.
24. Factor a^2 + 2ab + b^2
9 : 25
52
x^(6-3) = x^3
(a + b)^2
25. (-1)^3 =
1
A set with no members - denoted by a circle with a diagonal through it.
90
Undefined - because we can'T divide by 0.
26. What is the name for a grouping of the members within a set based on a shared characteristic?
The union of A and B.
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 subset.
413.03 / 10^4 (move the decimal point 4 places to the left)
27. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
72
18
.0004809 X 10^11
4a^2(b)
28. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
2 & 3/7
1
5
8
29. A number is divisible by 9 if...
The sum of digits is divisible by 9.
From northeast - counterclockwise. I - II - III - IV
1
(a + b)^2
30. Area of a triangle?
No - the input value has exactly one output.
1:sqrt3:2
(base*height) / 2
2.592 kg
31. 20<all primes<30
55%
3sqrt4
The curve opens upward and the vertex is the minimal point on the graph.
23 - 29
32. Simplify (a^2 + b)^2 - (a^2 - b)^2
The objects within a set.
4a^2(b)
1
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)
33. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
Sector area = (n/360) X (pi)r^2
The curve opens upward and the vertex is the minimal point on the graph.
...multiply by 100.
34. 2sqrt4 + sqrt4 =
3sqrt4
The curve opens upward and the vertex is the minimal point on the graph.
4725
(n-2) x 180
35. What is the intersection of A and B?
62.5%
(a - b)(a + b)
The set of elements found in both A and B.
10
36. What is the 'Range' of a series of numbers?
The greatest value minus the smallest.
1
(b + c)
Members or elements
37. What are complementary angles?
F(x + c)
Yes. [i.e. f(x) = x^2 - 1
72
Two angles whose sum is 90.
38. What is a subset?
1
Undefined - because we can'T divide by 0.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
A grouping of the members within a set based on a shared characteristic.
39. What is the formula for compounded interest?
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.
(amount of decrease/original price) x 100%
Arc length = (n/360) x pi(2r) where n is the number of degrees.
(a - b)(a + b)
40. 30< all primes<40
12.5%
11 - 13 - 17 - 19
31 - 37
A circle centered at -2 - -2 with radius 3.
41. x^6 / x^3
4a^2(b)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
53 - 59
x^(6-3) = x^3
42. (6sqrt3) x (2sqrt5) =
1
Sector area = (n/360) X (pi)r^2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Move the decimal point to the right x places
43. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
1/a^6
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
$11 -448
16.6666%
44. If the two sides of a triangle are unequal then the longer side...
Lies opposite the greater angle
55%
A = I (1 + rt)
413.03 / 10^4 (move the decimal point 4 places to the left)
45. 7/8 in percent?
87.5%
C = (pi)d
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 sum of its digits is divisible by 3.
46. Which quadrant is the upper right hand?
90
I
The curve opens downward and the vertex is the maximum point on the graph.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
47. 5/8 in percent?
No - only like radicals can be added.
62.5%
The two xes after factoring.
A = I (1 + rt)
48. What is the slope of a horizontal line?
A = I (1 + rt)
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)
0
x= (1.2)(.8)lw
49. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
4:5
An isosceles right triangle.
A reflection about the origin.
A = I (1 + rt)
50. How to find the diagonal of a rectangular solid?
Sector area = (n/360) X (pi)r^2
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The union of A and B.
A tangent is a line that only touches one point on the circumference of a circle.