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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. 10^6 has how many zeroes?
6
37.5%
12sqrt2
8
2. What is a tangent?
13pi / 2
1
5 OR -5
A tangent is a line that only touches one point on the circumference of a circle.
3. Evaluate (4^3)^2
(n-2) x 180
A circle centered on the origin with radius 8.
4096
The sum of digits is divisible by 9.
4. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
An isosceles right triangle.
1
90
F(x) + c
5. (-1)^3 =
180
Sector area = (n/360) X (pi)r^2
1
All numbers multiples of 1.
6. What are the irrational numbers?
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7. What is the measure of an exterior angle of a regular pentagon?
52
72
28. n = 8 - k = 2. n! / k!(n-k)!
75:11
8. Simplify the expression [(b^2 - c^2) / (b - c)]
2sqrt6
31 - 37
1:sqrt3:2
(b + c)
9. Which quandrant is the lower right hand?
IV
Yes - like radicals can be added/subtracted.
2^9 / 2 = 256
Undefined
10. 60 < all primes <70
A set with a number of elements which can be counted.
61 - 67
18
Infinite.
11. Formula of rectangle where l increases by 20% and w decreases by 20%
... the square of the ratios of the corresponding sides.
x= (1.2)(.8)lw
1
A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x - 4x^2 and 2a/c)
12. Pi is a ratio of what to what?
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13. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
71 - 73 - 79
55%
(a - b)(a + b)
0
14. What is a parabola?
y = (x + 5)/2
Factors are few - multiples are many.
Ax^2 + bx + c where a -b and c are constants and a /=0
55%
15. Whats the difference between factors and multiples?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
4096
Factors are few - multiples are many.
5
16. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
Pi is the ratio of a circle'S circumference to its diameter.
$11 -448
4725
13
17. (12sqrt15) / (2sqrt5) =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
III
12.5%
An isosceles right triangle.
18. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
No - only like radicals can be added.
130pi
13pi / 2
x^(4+7) = x^11
19. 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?
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)
1
$3 -500 in the 9% and $2 -500 in the 7%.
180
20. What is the graph of f(x) shifted downward c units or spaces?
55%
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
F(x) - c
21. What are the real numbers?
1/2 times 7/3
... the square of the ratios of the corresponding sides.
180 degrees
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)
22. What is the graph of f(x) shifted upward c units or spaces?
3
Relationship cannot be determined (what if x is negative?)
13
F(x) + c
23. What is the absolute value function?
G(x) = {x}
The greatest value minus the smallest.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
24. What is the empty set?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
1
2
A set with no members - denoted by a circle with a diagonal through it.
25. Define an 'expression'.
Area of the base X height = (pi)hr^2
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)
500
4:5
26. 5/6 in percent?
Lies opposite the greater angle
83.333%
N! / (k!)(n-k)!
F(x-c)
27. What is the slope of a horizontal line?
61 - 67
Two angles whose sum is 180.
0
A grouping of the members within a set based on a shared characteristic.
28. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
Two equal sides and two equal angles.
A 30-60-90 triangle.
A set with a number of elements which can be counted.
4096
29. What is a piecewise equation?
72
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
Indeterminable.
413.03 / 10^4 (move the decimal point 4 places to the left)
30. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
From northeast - counterclockwise. I - II - III - IV
A reflection about the origin.
Area of the base X height = (pi)hr^2
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
31. What is the formula for compounded interest?
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)
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.
y = (x + 5)/2
The point of intersection of the systems.
32. 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?
F(x + c)
500
Divide by 100.
The set of input values for a function.
33. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
4a^2(b)
True
A circle centered on the origin with radius 8.
34. 20<all primes<30
3/2 - 5/3
23 - 29
A circle centered on the origin with radius 8.
Factors are few - multiples are many.
35. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
F(x + c)
A = I (1 + rt)
A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x - 4x^2 and 2a/c)
36. What is a finite set?
(amount of decrease/original price) x 100%
2.592 kg
A set with a number of elements which can be counted.
48
37. 70 < all primes< 80
2(pi)r^2 + 2(pi)rh
13
90
71 - 73 - 79
38. x^2 = 9. What is the value of x?
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...
Its last two digits are divisible by 4.
3 - -3
2(pi)r^2 + 2(pi)rh
39. The slope of a line perpendicular to (a/b)?
All numbers multiples of 1.
Its negative reciprocal. (-b/a)
(amount of decrease/original price) x 100%
A tangent is a line that only touches one point on the circumference of a circle.
40. Which quadrant is the lower left hand?
4725
37.5%
III
12! / 5!7! = 792
41. What is the 'Range' of a function?
Factors are few - multiples are many.
1.0843 X 10^11
180
The set of output values for a function.
42. Find the surface area of a cylinder with radius 3 and height 12.
Indeterminable.
90pi
41 - 43 - 47
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
43. 30< all primes<40
413.03 / 10^4 (move the decimal point 4 places to the left)
31 - 37
Undefined - because we can'T divide by 0.
All numbers multiples of 1.
44. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
2^9 / 2 = 256
The set of input values for a function.
Members or elements
52
45. Formula to find a circle'S circumference from its diameter?
C = (pi)d
(a + b)^2
The sum of digits is divisible by 9.
(a - b)^2
46. Convert 0.7% to a fraction.
(a - b)(a + b)
7 / 1000
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.
47. 5x^2 - 35x -55 = 0
A 30-60-90 triangle.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
3/2 - 5/3
0
48. What is an arc of a circle?
An arc is a portion of a circumference of a circle.
Ax^2 + bx + c where a -b and c are constants and a /=0
52
(a - b)(a + b)
49. What is the ratio of the sides of an isosceles right triangle?
1:1:sqrt2
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 a number of elements which can be counted.
0
50. Area of a triangle?
Angle/360 x 2(pi)r
55%
2(pi)r^2 + 2(pi)rh
(base*height) / 2