SUBJECTS
|
BROWSE
|
CAREER CENTER
|
POPULAR
|
JOIN
|
LOGIN
Business Skills
|
Soft Skills
|
Basic Literacy
|
Certifications
About
|
Help
|
Privacy
|
Terms
|
Email
Search
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. (12sqrt15) / (2sqrt5) =
x(x - y + 1)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
13
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
2. a^2 - b^2 =
1
12.5%
(a - b)(a + 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.
3. Which quandrant is the lower right hand?
IV
16.6666%
II
2sqrt6
4. To multiply a number by 10^x
Move the decimal point to the right x places
20.5
Yes - like radicals can be added/subtracted.
The set of output values for a function.
5. Define an 'expression'.
(a + b)^2
An expression with just one term (-6x - 2a^2)
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)
A central angle is an angle formed by 2 radii.
6. Legs: 3 - 4. Hypotenuse?
F(x) - c
16.6666%
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
5
7. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
x^(4+7) = x^11
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
13
8. x^6 / x^3
4:5
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
.0004809 X 10^11
x^(6-3) = x^3
9. Describe the relationship between 3x^2 and 3(x - 1)^2
87.5%
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
(amount of increase/original price) x 100%
2
10. What is the name of set with a number of elements which cannot be counted?
Its negative reciprocal. (-b/a)
An expression with just one term (-6x - 2a^2)
An infinite set.
A reflection about the axis.
11. How to find the diagonal of a rectangular solid?
3
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The set of output values for a function.
12. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
4.25 - 6 - 22
(a + b)^2
70
A circle centered at -2 - -2 with radius 3.
13. What is the slope of a horizontal line?
72
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
0
Area of the base X height = (pi)hr^2
14. x^(-y)=
1/(x^y)
5 OR -5
A reflection about the origin.
90
15. What is the set of elements which can be found in either A or B?
The union of A and B.
x^(6-3) = x^3
The set of elements which can be found in either A or B.
The curve opens downward and the vertex is the maximum point on the graph.
16. Which quadrant is the lower left hand?
1:sqrt3:2
III
27^(-4)
130pi
17. What is the intersection of A and B?
The set of elements found in both A and B.
8
1
Lies opposite the greater angle
18. Solve the quadratic equation ax^2 + bx + c= 0
Factors are few - multiples are many.
...multiply by 100.
... the square of the ratios of the corresponding sides.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
19. A number is divisible by 4 is...
Its last two digits are divisible by 4.
3/2 - 5/3
The curve opens downward and the vertex is the maximum point on the graph.
9 : 25
20. A number is divisible by 3 if ...
7 / 1000
The steeper the slope.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The sum of its digits is divisible by 3.
21. 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?
Sector area = (n/360) X (pi)r^2
1
1:1:sqrt2
$3 -500 in the 9% and $2 -500 in the 7%.
22. How to find the circumference of a circle which circumscribes a square?
x(x - y + 1)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
10! / 3!(10-3)! = 120
(a + b)^2
23. If the two sides of a triangle are unequal then the longer side...
6
Lies opposite the greater angle
The set of input values for a function.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
24. What is the side length of an equilateral triangle with altitude 6?
True
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
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...
F(x + c)
25. 2sqrt4 + sqrt4 =
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...
1/2 times 7/3
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
3sqrt4
26. Which quadrant is the upper right hand?
The overlapping sections.
I
C = 2(pi)r
12! / 5!7! = 792
27. The larger the absolute value of the slope...
61 - 67
7 / 1000
2 & 3/7
The steeper the slope.
28. A number is divisible by 6 if...
(p + q)/5
The direction of the inequality is reversed.
Its divisible by 2 and by 3.
2.592 kg
29. 5/8 in percent?
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
62.5%
True
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
30. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
(base*height) / 2
70
180 degrees
1:sqrt3:2
31. What is the 'Solution' for a system of linear equations?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
The point of intersection of the systems.
3/2 - 5/3
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
32. What are the smallest three prime numbers greater than 65?
5
75:11
67 - 71 - 73
The set of elements found in both A and B.
33. 10<all primes<20
7 / 1000
72
11 - 13 - 17 - 19
5 OR -5
34. 6w^2 - w - 15 = 0
37.5%
y = 2x^2 - 3
3/2 - 5/3
Lies opposite the greater angle
35. What is an exterior angle?
An angle which is supplementary to an interior angle.
(amount of decrease/original price) x 100%
The empty set - denoted by a circle with a diagonal through it.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
36. 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)]?
The greatest value minus the smallest.
2 & 3/7
F(x) + c
True
37. What is the order of operations?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
1.7
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
x^(6-3) = x^3
38. Can you add sqrt 3 and sqrt 5?
Two angles whose sum is 180.
12! / 5!7! = 792
No - only like radicals can be added.
Members or elements
39. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
(a + b)^2
13pi / 2
(amount of increase/original price) x 100%
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
40. Simplify the expression (p^2 - q^2)/ -5(q - p)
1 & 37/132
(p + q)/5
A = I (1 + rt)
4725
41. Length of an arc of a circle?
2 & 3/7
53 - 59
Diameter(Pi)
Angle/360 x 2(pi)r
42. What is a subset?
Ax^2 + bx + c where a -b and c are constants and a /=0
A tangent is a line that only touches one point on the circumference of a circle.
A grouping of the members within a set based on a shared characteristic.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
43. What is an isoceles triangle?
Its last two digits are divisible by 4.
Members or elements
Two equal sides and two equal angles.
18
44. What does the graph x^2 + y^2 = 64 look like?
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...
Two equal sides and two equal angles.
F(x + c)
A circle centered on the origin with radius 8.
45. Simplify (a^2 + b)^2 - (a^2 - b)^2
1/(x^y)
The direction of the inequality is reversed.
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)
4a^2(b)
46. What is the set of elements found in both A and B?
1
441000 = 1 10 10 10 21 * 21
1.0843 X 10^11
The interesection of A and B.
47. Factor a^2 + 2ab + b^2
1
A set with no members - denoted by a circle with a diagonal through it.
(a + b)^2
(b + c)
48. Find the surface area of a cylinder with radius 3 and height 12.
90pi
71 - 73 - 79
2 & 3/7
Pi is the ratio of a circle'S circumference to its diameter.
49. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
A 30-60-90 triangle.
Angle/360 x 2(pi)r
2
11 - 13 - 17 - 19
50. 60 < all primes <70
The empty set - denoted by a circle with a diagonal through it.
F(x) - c
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
61 - 67