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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. x^4 + x^7 =
x^(4+7) = x^11
The interesection of A and B.
$3 -500 in the 9% and $2 -500 in the 7%.
0
2. Which is greater? 64^5 or 16^8
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
(a - b)^2
10
180
3. Write 10 -843 X 10^7 in scientific notation
Relationship cannot be determined (what if x is negative?)
Triangles with same measure and same side lengths.
1.0843 X 10^11
1
4. 5/8 in percent?
No - only like radicals can be added.
4096
62.5%
4725
5. Simplify the expression (p^2 - q^2)/ -5(q - p)
...multiply by 100.
12.5%
(p + q)/5
1
6. 1/6 in percent?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
16.6666%
Its divisible by 2 and by 3.
y = (x + 5)/2
7. 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)!
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)
The direction of the inequality is reversed.
2.592 kg
8. What is the absolute value function?
N! / (n-k)!
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
G(x) = {x}
3 - -3
9. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
41 - 43 - 47
441000 = 1 10 10 10 21 * 21
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
28. n = 8 - k = 2. n! / k!(n-k)!
10. What is a subset?
A grouping of the members within a set based on a shared characteristic.
F(x) - c
12.5%
A reflection about the axis.
11. 30< all primes<40
(b + c)
Its last two digits are divisible by 4.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
31 - 37
12. What are the real numbers?
C = (pi)d
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)
13pi / 2
87.5%
13. A number is divisible by 6 if...
Yes - like radicals can be added/subtracted.
F(x) + c
1/2 times 7/3
Its divisible by 2 and by 3.
14. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
7 / 1000
2 & 3/7
The overlapping sections.
2sqrt6
15. What is the 'Solution' for a system of linear equations?
A circle centered at -2 - -2 with radius 3.
4096
13
The point of intersection of the systems.
16. a^0 =
1
130pi
III
5 OR -5
17. 5x^2 - 35x -55 = 0
y = (x + 5)/2
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
A tangent is a line that only touches one point on the circumference of a circle.
18. What percent of 40 is 22?
The curve opens downward and the vertex is the maximum point on the graph.
A reflection about the origin.
13
55%
19. When does a function automatically have a restricted domain (2)?
180 degrees
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Yes. [i.e. f(x) = x^2 - 1
$11 -448
20. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
x= (1.2)(.8)lw
The direction of the inequality is reversed.
1
9 : 25
21. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
28. n = 8 - k = 2. n! / k!(n-k)!
4725
The set of input values for a function.
31 - 37
22. The objects in a set are called two names:
3
F(x) - c
A = pi(r^2)
Members or elements
23. What is the maximum value for the function g(x) = (-2x^2) -1?
Members or elements
Angle/360 x (pi)r^2
1
Its divisible by 2 and by 3.
24. 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?
N! / (k!)(n-k)!
0
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
41 - 43 - 47
25. Solve the quadratic equation ax^2 + bx + c= 0
2
48
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A 30-60-90 triangle.
26. What is the 'Solution' for a set of inequalities.
Angle/360 x (pi)r^2
The overlapping sections.
The steeper the slope.
90
27. Define an 'expression'.
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 isosceles right triangle.
y = 2x^2 - 3
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)
28. Reduce: 4.8 : 0.8 : 1.6
2.592 kg
6 : 1 : 2
Ax^2 + bx + c where a -b and c are constants and a /=0
Undefined - because we can'T divide by 0.
29. 1/8 in percent?
2
F(x) + c
Relationship cannot be determined (what if x is negative?)
12.5%
30. Evaluate 4/11 + 11/12
1
(base*height) / 2
F(x + c)
1 & 37/132
31. Can you add sqrt 3 and sqrt 5?
F(x-c)
No - only like radicals can be added.
75:11
The set of output values for a function.
32. The ratio of the areas of two similar polygons is ...
From northeast - counterclockwise. I - II - III - IV
$3 -500 in the 9% and $2 -500 in the 7%.
Move the decimal point to the right x places
... the square of the ratios of the corresponding sides.
33. 40 < all primes<50
1
41 - 43 - 47
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Undefined - because we can'T divide by 0.
34. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
12.5%
A central angle is an angle formed by 2 radii.
4.25 - 6 - 22
... the square of the ratios of the corresponding sides.
35. Legs 6 - 8. Hypotenuse?
The union of A and B.
Yes. [i.e. f(x) = x^2 - 1
10
Arc length = (n/360) x pi(2r) where n is the number of degrees.
36. What is the 'Range' of a series of numbers?
2(pi)r^2 + 2(pi)rh
28. n = 8 - k = 2. n! / k!(n-k)!
The greatest value minus the smallest.
4096
37. a^2 - b^2 =
Infinite.
90pi
(a - b)(a + b)
28. n = 8 - k = 2. n! / k!(n-k)!
38. How to determine percent decrease?
A 30-60-90 triangle.
The steeper the slope.
2(pi)r^2 + 2(pi)rh
(amount of decrease/original price) x 100%
39. What is a central angle?
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.
(a - b)(a + b)
A central angle is an angle formed by 2 radii.
The curve opens upward and the vertex is the minimal point on the graph.
40. Whats the difference between factors and multiples?
Pi is the ratio of a circle'S circumference to its diameter.
Factors are few - multiples are many.
1
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
41. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
A reflection about the origin.
An angle which is supplementary to an interior angle.
2
70
42. 413.03 x 10^(-4) =
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
413.03 / 10^4 (move the decimal point 4 places to the left)
The objects within a set.
The curve opens upward and the vertex is the minimal point on the graph.
43. Which quandrant is the lower right hand?
72
IV
12.5%
441000 = 1 10 10 10 21 * 21
44. Surface area for a cylinder?
F(x) + c
Even
Yes - like radicals can be added/subtracted.
2(pi)r^2 + 2(pi)rh
45. Convert 0.7% to a fraction.
C = (pi)d
4.25 - 6 - 22
7 / 1000
1 & 37/132
46. Simplify the expression [(b^2 - c^2) / (b - c)]
x= (1.2)(.8)lw
4.25 - 6 - 22
1.7
(b + c)
47. Which quadrant is the upper left hand?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
A = pi(r^2)
27^(-4)
II
48. What is the slope of a vertical line?
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183
49. Evaluate (4^3)^2
4096
G(x) = {x}
180 degrees
2 & 3/7
50. What is an arc of a circle?
From northeast - counterclockwise. I - II - III - IV
(amount of increase/original price) x 100%
An arc is a portion of a circumference of a circle.
2