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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. Formula for the area of a sector of a circle?
A = pi(r^2)
1
Sector area = (n/360) X (pi)r^2
12.5%
2. What percent of 40 is 22?
55%
A tangent is a line that only touches one point on the circumference of a circle.
3
A 30-60-90 triangle.
3. (-1)^3 =
The overlapping sections.
(n-2) x 180
1
Two angles whose sum is 180.
4. Can you subtract 3sqrt4 from sqrt4?
Triangles with same measure and same side lengths.
Yes - like radicals can be added/subtracted.
90 degrees
23 - 29
5. What are 'Supplementary angles?'
A tangent is a line that only touches one point on the circumference of a circle.
y = 2x^2 - 3
Undefined
Two angles whose sum is 180.
6. Area of a triangle?
4:5
Members or elements
413.03 / 10^4 (move the decimal point 4 places to the left)
(base*height) / 2
7. 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?
2.592 kg
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 third side is greater than the difference and less than the sum.
The objects within a set.
8. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
2sqrt6
10
A = I (1 + rt)
1/a^6
9. x^4 + x^7 =
180 degrees
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
x^(4+7) = x^11
1
10. 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?
Two angles whose sum is 180.
10! / 3!(10-3)! = 120
70
20.5
11. 5/8 in percent?
23 - 29
52
62.5%
75:11
12. How to find the area of a sector?
67 - 71 - 73
III
87.5%
Angle/360 x (pi)r^2
13. What is the ratio of the sides of an isosceles right triangle?
5 OR -5
1:1:sqrt2
The union of A and B.
2 & 3/7
14. Which quadrant is the lower left hand?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
III
1/2 times 7/3
72
15. Factor x^2 - xy + x.
13pi / 2
x(x - y + 1)
Cd
F(x + c)
16. Order of quadrants:
Indeterminable.
From northeast - counterclockwise. I - II - III - IV
288 (8 9 4)
Move the decimal point to the right x places
17. 10<all primes<20
12sqrt2
11 - 13 - 17 - 19
Move the decimal point to the right x places
2sqrt6
18. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
180
True
87.5%
Cd
19. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
7 / 1000
180
Undefined - because we can'T divide by 0.
4:5
20. a^2 + 2ab + b^2
(a + b)^2
The empty set - denoted by a circle with a diagonal through it.
True
71 - 73 - 79
21. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
180
The greatest value minus the smallest.
28. n = 8 - k = 2. n! / k!(n-k)!
$3 -500 in the 9% and $2 -500 in the 7%.
22. Simplify the expression [(b^2 - c^2) / (b - c)]
Part = Percent X Whole
20.5
y = (x + 5)/2
(b + c)
23. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
3
IV
10! / (10-3)! = 720
II
24. 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.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
90 degrees
Undefined - because we can'T divide by 0.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
25. (a^-1)/a^5
3
1/a^6
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The point of intersection of the systems.
26. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
16.6666%
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
A central angle is an angle formed by 2 radii.
An angle which is supplementary to an interior angle.
27. What are the irrational numbers?
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183
28. What number between 70 & 75 - inclusive - has the greatest number of factors?
Triangles with same measure and same side lengths.
... the square of the ratios of the corresponding sides.
Indeterminable.
72
29. Evaluate 3& 2/7 / 1/3
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)
9 & 6/7
1 & 37/132
28. n = 8 - k = 2. n! / k!(n-k)!
30. If the two sides of a triangle are unequal then the longer side...
7 / 1000
Lies opposite the greater angle
The set of output values for a function.
41 - 43 - 47
31. What is the sum of the angles of a triangle?
71 - 73 - 79
1
180 degrees
441000 = 1 10 10 10 21 * 21
32. 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?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
$3 -500 in the 9% and $2 -500 in the 7%.
A = I (1 + rt)
5
33. Which quadrant is the upper right hand?
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
48
(b + c)
I
34. What is the percent formula?
Part = Percent X Whole
1:sqrt3:2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
61 - 67
35. Define an 'expression'.
C = (pi)d
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)
12.5%
F(x + c)
36. What is a tangent?
A tangent is a line that only touches one point on the circumference of a circle.
Yes. [i.e. f(x) = x^2 - 1
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
When the function is not defined for all real numbers -; only a subset of the real numbers.
37. 3/8 in percent?
1
37.5%
An isosceles right triangle.
288 (8 9 4)
38. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
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...
A set with no members - denoted by a circle with a diagonal through it.
N! / (k!)(n-k)!
39. 50 < all primes< 60
The curve opens downward and the vertex is the maximum point on the graph.
53 - 59
1.7
28. n = 8 - k = 2. n! / k!(n-k)!
40. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
2 & 3/7
1 & 37/132
The set of elements found in both A and B.
41. a^2 - b^2
The direction of the inequality is reversed.
62.5%
9 & 6/7
(a - b)(a + b)
42. Legs 6 - 8. Hypotenuse?
An angle which is supplementary to an interior angle.
1
F(x) - c
10
43. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
500
A circle centered at -2 - -2 with radius 3.
4a^2(b)
I
44. Formula to find a circle'S circumference from its diameter?
2(pi)r^2 + 2(pi)rh
The curve opens upward and the vertex is the minimal point on the graph.
C = (pi)d
0
45. How many sides does a hexagon have?
11 - 13 - 17 - 19
A reflection about the origin.
6
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
46. What is the formula for computing simple interest?
4.25 - 6 - 22
An expression with just one term (-6x - 2a^2)
A = I (1 + rt)
The set of elements found in both A and B.
47. Volume for a cylinder?
Area of the base X height = (pi)hr^2
The point of intersection of the systems.
Its divisible by 2 and by 3.
Undefined - because we can'T divide by 0.
48. What does the graph x^2 + y^2 = 64 look like?
67 - 71 - 73
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.
(a - b)^2
49. 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?
71 - 73 - 79
2
The union of A and B.
N! / (k!)(n-k)!
50. x^2 = 9. What is the value of x?
The overlapping sections.
72
9 & 6/7
3 - -3