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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 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?
500
75:11
1 & 37/132
No - the input value has exactly one output.
2. 0^0
67 - 71 - 73
Undefined
13
72
3. (x^2)^4
The objects within a set.
x^(2(4)) =x^8 = (x^4)^2
31 - 37
An expression with just one term (-6x - 2a^2)
4. a^2 - b^2
F(x) - c
(a + b)^2
The sum of its digits is divisible by 3.
(a - b)(a + b)
5. 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?
The set of elements which can be found in either A or B.
6
500
Indeterminable.
6. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
The set of elements which can be found in either A or B.
2sqrt6
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
.0004809 X 10^11
7. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
2^9 / 2 = 256
20.5
0
1
8. x^2 = 9. What is the value of x?
Angle/360 x (pi)r^2
3 - -3
Sector area = (n/360) X (pi)r^2
37.5%
9. What is a subset?
7 / 1000
All numbers multiples of 1.
A grouping of the members within a set based on a shared characteristic.
9 : 25
10. A number is divisible by 3 if ...
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The sum of its digits is divisible by 3.
The two xes after factoring.
(amount of increase/original price) x 100%
11. Can you subtract 3sqrt4 from sqrt4?
Yes - like radicals can be added/subtracted.
Pi is the ratio of a circle'S circumference to its diameter.
180 degrees
(n-2) x 180
12. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
6 : 1 : 2
x^(4+7) = x^11
Its divisible by 2 and by 3.
1
13. What is the set of elements which can be found in either A or B?
The union of A and B.
The interesection of A and B.
1/2 times 7/3
N! / (n-k)!
14. Legs: 3 - 4. Hypotenuse?
1:sqrt3:2
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)
5
Move the decimal point to the right x places
15. What is a finite set?
A set with a number of elements which can be counted.
90
1.0843 X 10^11
Part = Percent X Whole
16. Whats the difference between factors and multiples?
$3 -500 in the 9% and $2 -500 in the 7%.
Factors are few - multiples are many.
12.5%
A central angle is an angle formed by 2 radii.
17. Which quadrant is the upper left hand?
IV
The interesection of A and B.
Cd
II
18. Area of a triangle?
3
Ax^2 + bx + c where a -b and c are constants and a /=0
5
(base*height) / 2
19. What is the surface area of a cylinder with radius 5 and height 8?
The sum of its digits is divisible by 3.
130pi
From northeast - counterclockwise. I - II - III - IV
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
20. (-1)^3 =
37.5%
Its divisible by 2 and by 3.
1
2(pi)r^2 + 2(pi)rh
21. What is a tangent?
A tangent is a line that only touches one point on the circumference of a circle.
13
61 - 67
11 - 13 - 17 - 19
22. If an inequality is multiplied or divided by a negative number....
0
The direction of the inequality is reversed.
A reflection about the origin.
C = (pi)d
23. 70 < all primes< 80
10
71 - 73 - 79
(amount of decrease/original price) x 100%
12sqrt2
24. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
12! / 5!7! = 792
Area of the base X height = (pi)hr^2
1.0843 X 10^11
Sqrt 12
25. Which quadrant is the lower left hand?
An angle which is supplementary to an interior angle.
III
Triangles with same measure and same side lengths.
1
26. What are congruent triangles?
2
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Triangles with same measure and same side lengths.
Even
27. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
A set with a number of elements which can be counted.
13pi / 2
(a - b)^2
F(x) - c
28. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
$11 -448
16.6666%
1
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
29. How many sides does a hexagon have?
6
1 & 37/132
F(x-c)
Divide by 100.
30. What is the slope of a horizontal line?
... the square of the ratios of the corresponding sides.
0
The curve opens upward and the vertex is the minimal point on the graph.
y = 2x^2 - 3
31. a^2 + 2ab + b^2
1.7
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
(a + b)^2
75:11
32. What is the ratio of the sides of an isosceles right triangle?
An expression with just one term (-6x - 2a^2)
Factors are few - multiples are many.
1:1:sqrt2
A central angle is an angle formed by 2 radii.
33. Number of degrees in a triangle
The overlapping sections.
A 30-60-90 triangle.
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...
180
34. What is the measure of an exterior angle of a regular pentagon?
72
The curve opens upward and the vertex is the minimal point on the graph.
Sector area = (n/360) X (pi)r^2
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.
35. What is the 'union' of A and B?
(base*height) / 2
$3 -500 in the 9% and $2 -500 in the 7%.
The set of elements which can be found in either A or B.
4a^2(b)
36. Which is greater? 200x^295 or 10x^294?
Ax^2 + bx + c where a -b and c are constants and a /=0
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
The two xes after factoring.
Relationship cannot be determined (what if x is negative?)
37. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
The third side is greater than the difference and less than the sum.
1
y = 2x^2 - 3
8
38. x^6 / x^3
53 - 59
x^(6-3) = x^3
A reflection about the origin.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
39. 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?
500
10! / 3!(10-3)! = 120
11 - 13 - 17 - 19
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...
40. What is the graph of f(x) shifted upward c units or spaces?
The sum of its digits is divisible by 3.
F(x) + c
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
6
41. Describe the relationship between 3x^2 and 3(x - 1)^2
Diameter(Pi)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
75:11
90
42. 30< all primes<40
13pi / 2
31 - 37
Sector area = (n/360) X (pi)r^2
90
43. What is the slope of a vertical line?
44. 5x^2 - 35x -55 = 0
(base*height) / 2
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Undefined - because we can'T divide by 0.
.0004809 X 10^11
45. What are the real numbers?
3sqrt4
All the numbers on the number line (negative - rational - irrational - decimal - integer). All the numbers on the GRE are real. (-2 - 1 - .25 - 1/2 - pi)
A 30-60-90 triangle.
441000 = 1 10 10 10 21 * 21
46. What is the empty set?
Relationship cannot be determined (what if x is negative?)
A set with no members - denoted by a circle with a diagonal through it.
G(x) = {x}
An arc is a portion of a circumference of a circle.
47. What is the sum of the angles of a triangle?
75:11
180 degrees
16.6666%
Yes - like radicals can be added/subtracted.
48. What are the irrational numbers?
49. Can you add sqrt 3 and sqrt 5?
7 / 1000
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
No - only like radicals can be added.
Factors are few - multiples are many.
50. 1/2 divided by 3/7 is the same as
The steeper the slope.
27^(-4)
1/2 times 7/3
An angle which is supplementary to an interior angle.