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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 are the smallest three prime numbers greater than 65?
x^(4+7) = x^11
The shortest arc between points A and B on a circle'S diameter.
90 degrees
67 - 71 - 73
2. What is a central angle?
Its last two digits are divisible by 4.
C = (pi)d
When the function is not defined for all real numbers -; only a subset of the real numbers.
A central angle is an angle formed by 2 radii.
3. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
1
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
2.592 kg
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
4. What is the sum of the angles of a triangle?
C = 2(pi)r
75:11
Sector area = (n/360) X (pi)r^2
180 degrees
5. Convert 0.7% to a fraction.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The point of intersection of the systems.
7 / 1000
Diameter(Pi)
6. Which quadrant is the lower left hand?
x^(2(4)) =x^8 = (x^4)^2
Two angles whose sum is 180.
III
Divide by 100.
7. What is the formula for compounded interest?
20.5
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.
8
F(x + c)
8. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
$11 -448
Yes. [i.e. f(x) = x^2 - 1
Ax^2 + bx + c where a -b and c are constants and a /=0
72
9. What is the maximum value for the function g(x) = (-2x^2) -1?
1
Divide by 100.
The two xes after factoring.
Cd
10. What is the surface area of a cylinder with radius 5 and height 8?
130pi
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
A reflection about the axis.
288 (8 9 4)
11. What number between 70 & 75 - inclusive - has the greatest number of factors?
(a - b)^2
72
(base*height) / 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)
12. 10^6 has how many zeroes?
The set of elements which can be found in either A or B.
F(x) + c
(base*height) / 2
6
13. What is the slope of a vertical line?
14. 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
90pi
2(pi)r^2 + 2(pi)rh
83.333%
15. What is the set of elements which can be found in either A or B?
28. n = 8 - k = 2. n! / k!(n-k)!
The union of A and B.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
1
16. What is a tangent?
x(x - y + 1)
A tangent is a line that only touches one point on the circumference of a circle.
All numbers multiples of 1.
C = (pi)d
17. A number is divisible by 9 if...
Angle/360 x (pi)r^2
x(x - y + 1)
The sum of digits is divisible by 9.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
18. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
12.5%
The steeper the slope.
28. n = 8 - k = 2. n! / k!(n-k)!
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
19. Formula to find a circle'S circumference from its radius?
The sum of its digits is divisible by 3.
1
An arc is a portion of a circumference of a circle.
C = 2(pi)r
20. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
130pi
x^(4+7) = x^11
N! / (k!)(n-k)!
F(x) - c
21. What is the graph of f(x) shifted downward c units or spaces?
From northeast - counterclockwise. I - II - III - IV
(a - b)(a + b)
F(x) - c
No - the input value has exactly one output.
22. What are the integers?
1
All numbers multiples of 1.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
28. n = 8 - k = 2. n! / k!(n-k)!
23. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
Cd
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
441000 = 1 10 10 10 21 * 21
The sum of digits is divisible by 9.
24. What is the formula for computing simple interest?
A = I (1 + rt)
9 : 25
True
x^(4+7) = x^11
25. What percent of 40 is 22?
90 degrees
The sum of its digits is divisible by 3.
1
55%
26. Write 10 -843 X 10^7 in scientific notation
Its negative reciprocal. (-b/a)
(a + b)^2
Its divisible by 2 and by 3.
1.0843 X 10^11
27. x^2 = 9. What is the value of x?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
A = pi(r^2)
3 - -3
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
28. Circumference of a circle?
Diameter(Pi)
All numbers multiples of 1.
1:sqrt3:2
180 degrees
29. Legs 6 - 8. Hypotenuse?
71 - 73 - 79
1
10
Indeterminable.
30. x^6 / x^3
The sum of digits is divisible by 9.
1:sqrt3:2
x^(6-3) = x^3
(amount of decrease/original price) x 100%
31. 60 < all primes <70
61 - 67
Part = Percent X Whole
6 : 1 : 2
G(x) = {x}
32. Find the surface area of a cylinder with radius 3 and height 12.
Members or elements
C = (pi)d
IV
90pi
33. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
A reflection about the origin.
(a + b)^2
(p + q)/5
The sum of digits is divisible by 9.
34. Simplify 9^(1/2) X 4^3 X 2^(-6)?
20.5
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
3
12sqrt2
35. What is the absolute value function?
2(pi)r^2 + 2(pi)rh
12.5%
G(x) = {x}
Sqrt 12
36. Can you simplify sqrt72?
1
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
9 & 6/7
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
37. 6w^2 - w - 15 = 0
Undefined - because we can'T divide by 0.
3/2 - 5/3
1.0843 X 10^11
27^(-4)
38. Which quadrant is the upper right hand?
Ax^2 + bx + c where a -b and c are constants and a /=0
0
F(x + c)
I
39. 70 < all primes< 80
A central angle is an angle formed by 2 radii.
62.5%
An arc is a portion of a circumference of a circle.
71 - 73 - 79
40. What is the slope of a horizontal line?
2sqrt6
(amount of increase/original price) x 100%
0
The overlapping sections.
41. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
1.0843 X 10^11
4.25 - 6 - 22
F(x) + c
42. What is an isoceles triangle?
Two angles whose sum is 90.
Two equal sides and two equal angles.
A reflection about the origin.
C = 2(pi)r
43. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
12sqrt2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
83.333%
70
44. What is the 'domain' of a function?
4096
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
N! / (n-k)!
The set of input values for a function.
45. What are the members or elements of a set?
C = (pi)d
1
The objects within a set.
130pi
46. When the 'a' in a parabola is positive....
The curve opens upward and the vertex is the minimal point on the graph.
180 degrees
The set of elements which can be found in either A or B.
(p + q)/5
47. 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?
1
A subset.
500
The set of elements which can be found in either A or B.
48. The objects in a set are called two names:
13pi / 2
6 : 1 : 2
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Members or elements
49. What is the measure of an exterior angle of a regular pentagon?
(amount of increase/original price) x 100%
72
True
F(x + c)
50. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
1
90pi
13pi / 2
3