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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 absolute value function?
4096
G(x) = {x}
4725
11 - 13 - 17 - 19
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?
180
$3 -500 in the 9% and $2 -500 in the 7%.
Angle/360 x (pi)r^2
67 - 71 - 73
3. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
Move the decimal point to the right x places
The set of elements which can be found in either A or B.
4. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Sqrt 12
The curve opens downward and the vertex is the maximum point on the graph.
5. P and r are factors of 100. What is greater - pr or 100?
27^(-4)
Indeterminable.
2 & 3/7
55%
6. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
(a - b)(a + b)
The sum of its digits is divisible by 3.
An isosceles right triangle.
90
7. What are the integers?
y = (x + 5)/2
All numbers multiples of 1.
441000 = 1 10 10 10 21 * 21
16.6666%
8. When the 'a' in the parabola is negative...
The objects within a set.
13
27^(-4)
The curve opens downward and the vertex is the maximum point on the graph.
9. What is the set of elements found in both A and B?
4a^2(b)
The interesection of A and B.
10! / 3!(10-3)! = 120
Even
10. What is a chord of a circle?
Infinite.
F(x) - c
The overlapping sections.
A chord is a line segment joining two points on a circle.
11. What are the members or elements of a set?
75:11
F(x) + c
18
The objects within a set.
12. 2sqrt4 + sqrt4 =
3sqrt4
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)
Even
Angle/360 x 2(pi)r
13. 413.03 x 10^(-4) =
413.03 / 10^4 (move the decimal point 4 places to the left)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
4:5
14. Describe the relationship between 3x^2 and 3(x - 1)^2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
1.7
$11 -448
A reflection about the axis.
15. 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.
Area of the base X height = (pi)hr^2
83.333%
The direction of the inequality is reversed.
90 degrees
16. How to find the diagonal of a rectangular solid?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
0
1 & 37/132
2.592 kg
17. Which quandrant is the lower right hand?
x^(6-3) = x^3
IV
10! / 3!(10-3)! = 120
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
18. 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?
180
13
18
75:11
19. What is the ratio of the sides of a 30-60-90 triangle?
x^(2(4)) =x^8 = (x^4)^2
6
1:sqrt3:2
5 OR -5
20. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
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 circle centered at -2 - -2 with radius 3.
Undefined
The union of A and B.
21. What is a central angle?
A central angle is an angle formed by 2 radii.
The empty set - denoted by a circle with a diagonal through it.
C = (pi)d
x(x - y + 1)
22. How to determine percent increase?
The third side is greater than the difference and less than the sum.
(amount of increase/original price) x 100%
7 / 1000
A = pi(r^2)
23. Define a 'Term' -
3 - -3
2 & 3/7
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)
28. n = 8 - k = 2. n! / k!(n-k)!
24. How many 3-digit positive integers are even and do not contain the digit 4?
... the square of the ratios of the corresponding sides.
288 (8 9 4)
(amount of increase/original price) x 100%
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
25. Legs 6 - 8. Hypotenuse?
41 - 43 - 47
A reflection about the axis.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
10
26. What is an exterior angle?
The point of intersection of the systems.
1
28. n = 8 - k = 2. n! / k!(n-k)!
An angle which is supplementary to an interior angle.
27. Surface area for a cylinder?
2(pi)r^2 + 2(pi)rh
83.333%
9 & 6/7
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)
28. x^(-y)=
62.5%
1/(x^y)
500
18
29. 50 < all primes< 60
4725
4096
13pi / 2
53 - 59
30. A number is divisible by 6 if...
Its divisible by 2 and by 3.
F(x + c)
12.5%
1/2 times 7/3
31. How many multiples does a given number have?
Infinite.
Two angles whose sum is 180.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
A tangent is a line that only touches one point on the circumference of a circle.
32. Simplify (a^2 + b)^2 - (a^2 - b)^2
The point of intersection of the systems.
The curve opens downward and the vertex is the maximum point on the graph.
4a^2(b)
1/a^6
33. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
Undefined
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
A central angle is an angle formed by 2 radii.
13pi / 2
34. What are the irrational numbers?
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183
35. 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?
16.6666%
1 & 37/132
The overlapping sections.
500
36. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
.0004809 X 10^11
Sector area = (n/360) X (pi)r^2
12! / 5!7! = 792
2 & 3/7
37. How to determine percent decrease?
Angle/360 x (pi)r^2
(amount of decrease/original price) x 100%
3/2 - 5/3
The set of input values for a function.
38. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
A = pi(r^2)
.0004809 X 10^11
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
70
39. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
C = 2(pi)r
1/a^6
18
3
40. x^4 + x^7 =
x^(4+7) = x^11
18
180 degrees
2sqrt6
41. 8.84 / 5.2
1.7
Relationship cannot be determined (what if x is negative?)
61 - 67
The steeper the slope.
42. Length of an arc of a circle?
The point of intersection of the systems.
The second graph is less steep.
Angle/360 x 2(pi)r
10! / (10-3)! = 720
43. a^2 - 2ab + b^2
The set of elements found in both A and B.
4725
Ax^2 + bx + c where a -b and c are constants and a /=0
(a - b)^2
44. a^0 =
F(x-c)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
A = pi(r^2)
1
45. Formula to calculate arc length?
4.25 - 6 - 22
12sqrt2
Arc length = (n/360) x pi(2r) where n is the number of degrees.
1/a^6
46. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
3 - -3
62.5%
4:5
37.5%
47. What does the graph x^2 + y^2 = 64 look like?
Relationship cannot be determined (what if x is negative?)
A circle centered on the origin with radius 8.
Infinite.
2(pi)r^2 + 2(pi)rh
48. Write 10 -843 X 10^7 in scientific notation
4a^2(b)
180 degrees
1.0843 X 10^11
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
49. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
$3 -500 in the 9% and $2 -500 in the 7%.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
37.5%
1
50. Convert 0.7% to a fraction.
An angle which is supplementary to an interior angle.
7 / 1000
1 & 37/132
3/2 - 5/3