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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. 8.84 / 5.2
1.7
75:11
The point of intersection of the systems.
Infinite.
2. 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
A = pi(r^2)
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)
(b + c)
18
3. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1:sqrt3:2
1
A subset.
6
4. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
Cd
True
70
5. What are the smallest three prime numbers greater than 65?
The curve opens downward and the vertex is the maximum point on the graph.
67 - 71 - 73
3sqrt4
Angle/360 x 2(pi)r
6. Which is greater? 27^(-4) or 9^(-8)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
27^(-4)
The sum of digits is divisible by 9.
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...
7. 7/8 in percent?
The shortest arc between points A and B on a circle'S diameter.
1
Undefined - because we can'T divide by 0.
87.5%
8. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
(a + b)^2
A central angle is an angle formed by 2 radii.
A circle centered on the origin with radius 8.
9. 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?
The point of intersection of the systems.
72
Lies opposite the greater angle
441000 = 1 10 10 10 21 * 21
10. Formula to find a circle'S circumference from its diameter?
Yes - like radicals can be added/subtracted.
A set with no members - denoted by a circle with a diagonal through it.
48
C = (pi)d
11. What is the absolute value function?
G(x) = {x}
8
3/2 - 5/3
27^(-4)
12. (a^-1)/a^5
4725
1/a^6
Two angles whose sum is 180.
(a - b)^2
13. 5/8 in percent?
12.5%
62.5%
F(x) - c
48
14. What is the maximum value for the function g(x) = (-2x^2) -1?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
6 : 1 : 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.
1
15. When does a function automatically have a restricted domain (2)?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
0
4.25 - 6 - 22
Infinite.
16. Formula to find a circle'S circumference from its radius?
180 degrees
2 & 3/7
A reflection about the axis.
C = 2(pi)r
17. What is the slope of a horizontal line?
0
A tangent is a line that only touches one point on the circumference of a circle.
$3 -500 in the 9% and $2 -500 in the 7%.
The sum of its digits is divisible by 3.
18. The perimeter of a square is 48 inches. The length of its diagonal is:
Factors are few - multiples are many.
12sqrt2
3/2 - 5/3
The direction of the inequality is reversed.
19. 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)!
1:sqrt3:2
52
(a + b)^2
20. What does scientific notation mean?
A set with a number of elements which can be counted.
... the square of the ratios of the corresponding sides.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Angle/360 x 2(pi)r
21. A number is divisible by 9 if...
x^(4+7) = x^11
The sum of its digits is divisible by 3.
The sum of digits is divisible by 9.
70
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?
Indeterminable.
N! / (n-k)!
0
1/2 times 7/3
23. How many 3-digit positive integers are even and do not contain the digit 4?
Undefined
288 (8 9 4)
(n-2) x 180
An arc is a portion of a circumference of a circle.
24. What is an isoceles triangle?
1
Two equal sides and two equal angles.
16.6666%
Even
25. a^2 - b^2 =
(a - b)(a + b)
1.0843 X 10^11
11 - 13 - 17 - 19
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
26. Simplify the expression [(b^2 - c^2) / (b - c)]
1 & 37/132
1
1:1:sqrt2
(b + c)
27. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
2 & 3/7
23 - 29
The shortest arc between points A and B on a circle'S diameter.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
28. (6sqrt3) x (2sqrt5) =
Even
18
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
180 degrees
29. What is the set of elements found in both A and B?
(a - b)(a + b)
5 OR -5
41 - 43 - 47
The interesection of A and B.
30. 40 < all primes<50
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
.0004809 X 10^11
41 - 43 - 47
(amount of decrease/original price) x 100%
31. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
1.7
y = (x + 5)/2
0
32. What is an arc of a circle?
An arc is a portion of a circumference of a circle.
7 / 1000
An infinite set.
(amount of decrease/original price) x 100%
33. a^0 =
8
18
1
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.
34. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
31 - 37
An infinite set.
x(x - y + 1)
35. 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)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
53 - 59
(a - b)(a + b)
36. 20<all primes<30
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
72
23 - 29
A tangent is a line that only touches one point on the circumference of a circle.
37. Which is greater? 64^5 or 16^8
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
4096
1
413.03 / 10^4 (move the decimal point 4 places to the left)
38. What is the intersection of A and B?
Indeterminable.
3sqrt4
41 - 43 - 47
The set of elements found in both A and B.
39. Can you simplify sqrt72?
6
Its negative reciprocal. (-b/a)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
180
40. Formula of rectangle where l increases by 20% and w decreases by 20%
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...
13
x= (1.2)(.8)lw
20.5
41. Legs 5 - 12. Hypotenuse?
13
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
F(x) + c
90
42. What is a finite set?
A set with a number of elements which can be counted.
4:5
1/2 times 7/3
6
43. To convert a percent to a fraction....
Divide by 100.
3 - -3
x^(6-3) = x^3
2^9 / 2 = 256
44. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
(a + b)^2
75:11
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.
45. Which quadrant is the upper right hand?
3 - -3
True
I
6
46. What is the order of operations?
Two equal sides and two equal angles.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The overlapping sections.
61 - 67
47. What is the formula for compounded interest?
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.
Diameter(Pi)
True
48. Describe the relationship between the graphs of x^2 and (1/2)x^2
61 - 67
90 degrees
75:11
The second graph is less steep.
49. 413.03 x 10^(-4) =
4:5
2
413.03 / 10^4 (move the decimal point 4 places to the left)
Its last two digits are divisible by 4.
50. 1/6 in percent?
28. n = 8 - k = 2. n! / k!(n-k)!
3 - -3
71 - 73 - 79
16.6666%