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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. 6w^2 - w - 15 = 0
Yes - like radicals can be added/subtracted.
53 - 59
12sqrt2
3/2 - 5/3
2. When the 'a' in a parabola is positive....
4a^2(b)
2sqrt6
The curve opens upward and the vertex is the minimal point on the graph.
Area of the base X height = (pi)hr^2
3. Legs: 3 - 4. Hypotenuse?
5
441000 = 1 10 10 10 21 * 21
1.0843 X 10^11
(b + c)
4. Reduce: 4.8 : 0.8 : 1.6
Two equal sides and two equal angles.
6 : 1 : 2
6
2 & 3/7
5. Evaluate 3& 2/7 / 1/3
A reflection about the axis.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
9 & 6/7
The curve opens downward and the vertex is the maximum point on the graph.
6. What are the rational numbers?
Divide by 100.
Angle/360 x (pi)r^2
4725
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
7. Legs 5 - 12. Hypotenuse?
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)
Infinite.
13
87.5%
8. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
18
Move the decimal point to the right x places
9. What is the ratio of the sides of an isosceles right triangle?
Cd
1:1:sqrt2
Angle/360 x 2(pi)r
The sum of its digits is divisible by 3.
10. What are the integers?
The curve opens downward and the vertex is the maximum point on the graph.
0
90 degrees
All numbers multiples of 1.
11. What is the 'Restricted domain of a function'?
A 30-60-90 triangle.
1
Part = Percent X Whole
When the function is not defined for all real numbers -; only a subset of the real numbers.
12. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
70
F(x) + c
The union of A and B.
1
13. What are congruent triangles?
N! / (k!)(n-k)!
Pi is the ratio of a circle'S circumference to its diameter.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Triangles with same measure and same side lengths.
14. What percent of 40 is 22?
1
7 / 1000
72
55%
15. How to determine percent decrease?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
9 & 6/7
(amount of decrease/original price) x 100%
An infinite set.
16. Which quadrant is the upper right hand?
Members or elements
I
12sqrt2
1/2 times 7/3
17. Can you simplify sqrt72?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
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)
I
72
18. 25^(1/2) or sqrt. 25 =
16.6666%
No - only like radicals can be added.
5 OR -5
1.7
19. What is the graph of f(x) shifted upward c units or spaces?
F(x) + c
11 - 13 - 17 - 19
The set of elements which can be found in either A or B.
90 degrees
20. x^4 + x^7 =
x^(4+7) = x^11
Members or elements
4a^2(b)
Undefined
21. 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.
C = 2(pi)r
90 degrees
61 - 67
The direction of the inequality is reversed.
22. What are complementary angles?
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.
Two angles whose sum is 90.
20.5
13
23. How many multiples does a given number have?
Diameter(Pi)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Infinite.
180 degrees
24. Convert 0.7% to a fraction.
7 / 1000
...multiply by 100.
8
6
25. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
Triangles with same measure and same side lengths.
$11 -448
9 & 6/7
Sector area = (n/360) X (pi)r^2
26. 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?
A set with a number of elements which can be counted.
N! / (n-k)!
x^(2(4)) =x^8 = (x^4)^2
Relationship cannot be determined (what if x is negative?)
27. What is the 'Range' of a function?
1 & 37/132
Angle/360 x (pi)r^2
IV
The set of output values for a function.
28. Define an 'expression'.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
180 degrees
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
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)
29. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
11 - 13 - 17 - 19
4a^2(b)
1
2.592 kg
30. Factor x^2 - xy + x.
x(x - y + 1)
A chord is a line segment joining two points on a circle.
Sqrt 12
True
31. 10<all primes<20
11 - 13 - 17 - 19
4725
67 - 71 - 73
(a - b)(a + b)
32. x^6 / x^3
1
x= (1.2)(.8)lw
x^(6-3) = x^3
The curve opens upward and the vertex is the minimal point on the graph.
33. Simplify the expression [(b^2 - c^2) / (b - c)]
12.5%
61 - 67
(b + c)
The set of elements which can be found in either A or B.
34. What is a finite set?
A set with a number of elements which can be counted.
(amount of increase/original price) x 100%
Relationship cannot be determined (what if x is negative?)
75:11
35. What is the graph of f(x) shifted right c units or spaces?
An infinite set.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
F(x-c)
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
36. Surface area for a cylinder?
2(pi)r^2 + 2(pi)rh
An isosceles right triangle.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
10! / 3!(10-3)! = 120
37. The objects in a set are called two names:
Members or elements
2.592 kg
67 - 71 - 73
A tangent is a line that only touches one point on the circumference of a circle.
38. What does scientific notation mean?
8
The direction of the inequality is reversed.
27^(-4)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
39. What is the 'domain' of a function?
.0004809 X 10^11
1.0843 X 10^11
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
The set of input values for a function.
40. What is the ratio of the sides of a 30-60-90 triangle?
1:sqrt3:2
When the function is not defined for all real numbers -; only a subset of the real numbers.
3
The sum of digits is divisible by 9.
41. 50 < all primes< 60
2 & 3/7
53 - 59
441000 = 1 10 10 10 21 * 21
4:5
42. 5x^2 - 35x -55 = 0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
1/2 times 7/3
$11 -448
(amount of increase/original price) x 100%
43. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
A reflection about the axis.
(b + c)
44. (12sqrt15) / (2sqrt5) =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
10
A tangent is a line that only touches one point on the circumference of a circle.
45. Which is greater? 200x^295 or 10x^294?
The steeper the slope.
5 OR -5
(p + q)/5
Relationship cannot be determined (what if x is negative?)
46. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
x= (1.2)(.8)lw
The longest arc between points A and B on a circle'S diameter.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
13pi / 2
47. Formula to find a circle'S circumference from its diameter?
Its negative reciprocal. (-b/a)
C = (pi)d
(a - b)(a + b)
52
48. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
A subset.
The set of elements found in both A and B.
1
Relationship cannot be determined (what if x is negative?)
49. Length of an arc of a circle?
Indeterminable.
4.25 - 6 - 22
Angle/360 x 2(pi)r
A 30-60-90 triangle.
50. Which quadrant is the upper left hand?
Undefined - because we can'T divide by 0.
A reflection about the axis.
II
N! / (n-k)!