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Test your basic knowledge |
GRE Math: Common Errors
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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. 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?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The steeper the slope.
441000 = 1 10 10 10 21 * 21
A reflection about the axis.
2. Which is greater? 27^(-4) or 9^(-8)
Pi is the ratio of a circle'S circumference to its diameter.
9 : 25
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
27^(-4)
3. When the 'a' in a parabola is positive....
9 & 6/7
90
3 - -3
The curve opens upward and the vertex is the minimal point on the graph.
4. What is the name of set with a number of elements which cannot be counted?
2sqrt6
180 degrees
An infinite set.
180
5. 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?
Diameter(Pi)
y = (x + 5)/2
10! / 3!(10-3)! = 120
An arc is a portion of a circumference of a circle.
6. Volume for a cylinder?
A circle centered on the origin with radius 8.
Area of the base X height = (pi)hr^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.
Its divisible by 2 and by 3.
7. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
71 - 73 - 79
The empty set - denoted by a circle with a diagonal through it.
(a + b)^2
1
8. What is the formula for computing simple interest?
A = I (1 + rt)
37.5%
(a - b)(a + b)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
9. A number is divisible by 6 if...
5
2sqrt6
8
Its divisible by 2 and by 3.
10. What are complementary angles?
Two angles whose sum is 90.
An angle which is supplementary to an interior angle.
The set of output values for a function.
The longest arc between points A and B on a circle'S diameter.
11. 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
83.333%
31 - 37
18
N! / (k!)(n-k)!
12. When the 'a' in the parabola is negative...
Angle/360 x 2(pi)r
12.5%
The curve opens downward and the vertex is the maximum point on the graph.
Even
13. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
Members or elements
10! / (10-3)! = 720
9 & 6/7
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
14. How many multiples does a given number have?
72
Infinite.
A subset.
Undefined
15. What are the integers?
All numbers multiples of 1.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
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...
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)
16. 1/8 in percent?
The greatest value minus the smallest.
12.5%
28. n = 8 - k = 2. n! / k!(n-k)!
12! / 5!7! = 792
17. Factor x^2 - xy + x.
The direction of the inequality is reversed.
x(x - y + 1)
A = pi(r^2)
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
18. Length of an arc of a circle?
The set of output values for a function.
Angle/360 x 2(pi)r
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
II
19. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
An isosceles right triangle.
12! / 5!7! = 792
53 - 59
The greatest value minus the smallest.
20. Simplify the expression [(b^2 - c^2) / (b - c)]
1.7
All numbers multiples of 1.
x(x - y + 1)
(b + c)
21. Can you add sqrt 3 and sqrt 5?
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...
No - only like radicals can be added.
F(x) - c
Divide by 100.
22. What is the ratio of the sides of a 30-60-90 triangle?
5
1:sqrt3:2
Even
A subset.
23. 10^6 has how many zeroes?
... the square of the ratios of the corresponding sides.
x(x - y + 1)
6
The interesection of A and B.
24. What is the slope of a vertical line?
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25. Which is greater? 64^5 or 16^8
All numbers multiples of 1.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
An infinite set.
1.0843 X 10^11
26. What are the real numbers?
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...
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)
Divide by 100.
413.03 / 10^4 (move the decimal point 4 places to the left)
27. What are the rational numbers?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
G(x) = {x}
3 - -3
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...
28. How many 3-digit positive integers are even and do not contain the digit 4?
71 - 73 - 79
4.25 - 6 - 22
288 (8 9 4)
6
29. 60 < all primes <70
Divide by 100.
4:5
The longest arc between points A and B on a circle'S diameter.
61 - 67
30. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
F(x + c)
8
The set of elements which can be found in either A or B.
The sum of digits is divisible by 9.
31. Which quadrant is the upper right hand?
I
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
An angle which is supplementary to an interior angle.
A central angle is an angle formed by 2 radii.
32. What is the 'Restricted domain of a function'?
Even
No - the input value has exactly one output.
20.5
When the function is not defined for all real numbers -; only a subset of the real numbers.
33. What is the order of operations?
2 & 3/7
20.5
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
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)
34. 0^0
2 & 3/7
Undefined
6
Cd
35. 5/6 in percent?
The set of input values for a function.
83.333%
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
F(x-c)
36. What does the graph x^2 + y^2 = 64 look like?
72
The point of intersection of the systems.
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 circle centered on the origin with radius 8.
37. 3/8 in percent?
A circle centered at -2 - -2 with radius 3.
37.5%
4096
Its last two digits are divisible by 4.
38. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
(a + b)^2
Diameter(Pi)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
70
39. The perimeter of a square is 48 inches. The length of its diagonal is:
4a^2(b)
The curve opens upward and the vertex is the minimal point on the graph.
F(x) - c
12sqrt2
40. A number is divisible by 3 if ...
52
The sum of its digits is divisible by 3.
90 degrees
72
41. The larger the absolute value of the slope...
The steeper the slope.
130pi
(amount of decrease/original price) x 100%
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
42. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
0
y = 2x^2 - 3
Even
The longest arc between points A and B on a circle'S diameter.
43. What is the intersection of A and B?
(base*height) / 2
A = pi(r^2)
x^(2(4)) =x^8 = (x^4)^2
The set of elements found in both A and B.
44. x^6 / x^3
The empty set - denoted by a circle with a diagonal through it.
An isosceles right triangle.
53 - 59
x^(6-3) = x^3
45. Which quadrant is the lower left hand?
A circle centered on the origin with radius 8.
A tangent is a line that only touches one point on the circumference of a circle.
71 - 73 - 79
III
46. 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.
90 degrees
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
2sqrt6
1.0843 X 10^11
47. 25^(1/2) or sqrt. 25 =
1/(x^y)
1
5 OR -5
12! / 5!7! = 792
48. What is an exterior angle?
10
10! / (10-3)! = 720
An angle which is supplementary to an interior angle.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
49. What is the 'Solution' for a set of inequalities.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
1 & 37/132
20.5
The overlapping sections.
50. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
3
31 - 37
The shortest arc between points A and B on a circle'S diameter.
Sorry!:) No result found.
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