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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. The perimeter of a square is 48 inches. The length of its diagonal is:
$11 -448
12sqrt2
37.5%
Angle/360 x (pi)r^2
2. Length of an arc of a circle?
The second graph is less steep.
10! / 3!(10-3)! = 120
The curve opens upward and the vertex is the minimal point on the graph.
Angle/360 x 2(pi)r
3. 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?
x= (1.2)(.8)lw
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
55%
$3 -500 in the 9% and $2 -500 in the 7%.
4. (a^-1)/a^5
1/a^6
13pi / 2
83.333%
(a - b)(a + b)
5. What is the ratio of the sides of an isosceles right triangle?
All numbers multiples of 1.
1:1:sqrt2
(a + b)^2
The shortest arc between points A and B on a circle'S diameter.
6. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
An arc is a portion of a circumference of a circle.
31 - 37
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
A 30-60-90 triangle.
7. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
Triangles with same measure and same side lengths.
An angle which is supplementary to an interior angle.
Its divisible by 2 and by 3.
8. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
288 (8 9 4)
The objects within a set.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
9. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
The second graph is less steep.
The shortest arc between points A and B on a circle'S diameter.
(amount of decrease/original price) x 100%
10. What is the formula for computing simple interest?
28. n = 8 - k = 2. n! / k!(n-k)!
The two xes after factoring.
The interesection of A and B.
A = I (1 + rt)
11. When the 'a' in a parabola is positive....
12! / 5!7! = 792
Indeterminable.
The curve opens upward and the vertex is the minimal point on the graph.
11 - 13 - 17 - 19
12. When the 'a' in the parabola is negative...
72
The curve opens downward and the vertex is the maximum point on the graph.
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.
10! / (10-3)! = 720
13. 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.
All numbers multiples of 1.
A 30-60-90 triangle.
Area of the base X height = (pi)hr^2
14. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
2^9 / 2 = 256
61 - 67
A set with no members - denoted by a circle with a diagonal through it.
The set of elements which can be found in either A or B.
15. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
.0004809 X 10^11
N! / (n-k)!
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
2sqrt6
16. What is a parabola?
Indeterminable.
Ax^2 + bx + c where a -b and c are constants and a /=0
(amount of decrease/original price) x 100%
2(pi)r^2 + 2(pi)rh
17. What is the 'domain' of a function?
Sqrt 12
Cd
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The set of input values for a function.
18. What is the name of set with a number of elements which cannot be counted?
3/2 - 5/3
IV
(a + b)^2
An infinite set.
19. Volume for a cylinder?
Area of the base X height = (pi)hr^2
The two xes after factoring.
The set of elements found in both A and B.
Part = Percent X Whole
20. Area of a triangle?
4a^2(b)
10! / 3!(10-3)! = 120
(base*height) / 2
An angle which is supplementary to an interior angle.
21. 5/6 in percent?
F(x-c)
A reflection about the origin.
83.333%
The interesection of A and B.
22. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
N! / (n-k)!
The point of intersection of the systems.
37.5%
2
23. Evaluate 3& 2/7 / 1/3
x(x - y + 1)
2 & 3/7
10! / 3!(10-3)! = 120
9 & 6/7
24. What is the order of operations?
A = I (1 + rt)
28. n = 8 - k = 2. n! / k!(n-k)!
12sqrt2
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
25. If the two sides of a triangle are unequal then the longer side...
No - only like radicals can be added.
(p + q)/5
8
Lies opposite the greater angle
26. In a regular polygon with n sides - the formula for the sum of interior angles
1.7
4725
(n-2) x 180
The interesection of A and B.
27. (-1)^2 =
1
Divide by 100.
3
Its divisible by 2 and by 3.
28. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
1
True
A reflection about the origin.
Cd
29. Pi is a ratio of what to what?
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183
30. What does the graph x^2 + y^2 = 64 look like?
A circle centered on the origin with radius 8.
11 - 13 - 17 - 19
(amount of increase/original price) x 100%
(n-2) x 180
31. 6w^2 - w - 15 = 0
Two equal sides and two equal angles.
1:1:sqrt2
The sum of digits is divisible by 9.
3/2 - 5/3
32. Which quandrant is the lower right hand?
Undefined - because we can'T divide by 0.
IV
When the function is not defined for all real numbers -; only a subset of the real numbers.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
33. Formula of rectangle where l increases by 20% and w decreases by 20%
Undefined - because we can'T divide by 0.
x= (1.2)(.8)lw
2.592 kg
1
34. What is the ratio of the sides of a 30-60-90 triangle?
The sum of digits is divisible by 9.
...multiply by 100.
1:sqrt3:2
10! / 3!(10-3)! = 120
35. A number is divisible by 6 if...
12! / 5!7! = 792
413.03 / 10^4 (move the decimal point 4 places to the left)
1:sqrt3:2
Its divisible by 2 and by 3.
36. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
A = I (1 + rt)
0
Sector area = (n/360) X (pi)r^2
A circle centered on the origin with radius 8.
37. What does scientific notation mean?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Move the decimal point to the right x places
180 degrees
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.
38. How to determine percent decrease?
72
(amount of decrease/original price) x 100%
180
27^(-4)
39. 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.
Indeterminable.
90 degrees
1
71 - 73 - 79
40. What is the absolute value function?
72
9 & 6/7
1/a^6
G(x) = {x}
41. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
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)
Undefined - because we can'T divide by 0.
Yes - like radicals can be added/subtracted.
8
42. 5x^2 - 35x -55 = 0
x^(2(4)) =x^8 = (x^4)^2
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
The set of output values for a function.
The empty set - denoted by a circle with a diagonal through it.
43. Is 0 even or odd?
Even
1
The steeper the slope.
3
44. What is the graph of f(x) shifted downward c units or spaces?
9 : 25
F(x) - c
...multiply by 100.
The two xes after factoring.
45. What is the name for a grouping of the members within a set based on a shared characteristic?
(a + b)^2
1 & 37/132
A subset.
75:11
46. 8.84 / 5.2
413.03 / 10^4 (move the decimal point 4 places to the left)
The greatest value minus the smallest.
The interesection of A and B.
1.7
47. What are the smallest three prime numbers greater than 65?
90 degrees
90pi
The union of A and B.
67 - 71 - 73
48. 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?
72
500
4096
C = 2(pi)r
49. Legs 5 - 12. Hypotenuse?
Angle/360 x 2(pi)r
13
The union of A and B.
18
50. What is a chord of a circle?
A chord is a line segment joining two points on a circle.
9 & 6/7
288 (8 9 4)
Its negative reciprocal. (-b/a)