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Test your basic knowledge |
GRE Math: All In One
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. What are the integers?
The overlapping sections.
All numbers multiples of 1.
Negative
83.333%
2. Area of a Parallelogram:
P=2(l+w)
6
N! / (k!)(n-k)!
A=(base)(height)
3. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
4725
360°
1.7
1
4. Ø is a multiple of
(base*height) / 2
P=2(l+w)
A+c<b+c
Two (Ø×2=Ø)
5. a^2 - 2ab + b^2
A central angle is an angle formed by 2 radii.
Negative
(a - b)^2
y = (x + 5)/2
6. 30 60 90
3
Edge³
x - x(SR3) - 2x
A set with a number of elements which can be counted.
7. The sum of all angles around a point
180
x²-y²
Ø
360°
8. For any number x
Can be negative - zero - or positive
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
A-b is positive
27^(-4)
9. Ø is
180°
The sum of its digits is divisible by 3.
A multiple of every integer
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...
10. Volume of a cube
1
180°
P=2(l+w)
Edge³
11. Which is greater? 64^5 or 16^8
2^9 / 2 = 256
The sum of the digits is a multiple of 9.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
Ø Ø=Ø
12. When multiplying exponential #s with the same base - you do this to the exponents...
A+c<b+c
A grouping of the members within a set based on a shared characteristic.
A=pi*(r^2)
Add them. i.e. (5^7) * (5^3) = 5^10
13. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
A=½bh
Ab=k (k is a constant)
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
An isosceles right triangle.
14. binomial product of (x-y)²
180
0
Null
(x+y)(x-y)
15. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
Lies opposite the greater angle
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Ø=P(E)=1
2
16. Define a 'monomial'
2sqrt6
A=(base)(height)
y/x is a constant
An expression with just one term (-6x - 2a^2)
17. What is the side length of an equilateral triangle with altitude 6?
Even prime number
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...
130pi
(rate)(time) d=rt
18. The negative exponent x?n is equivalent to what?
18
Negative
Sum of digits is a multiple of 3 and the last digit is even.
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
19. Volume of a rectangular solid
(length)(width)(height)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
1
26
20. the measure of a straight angle
61 - 67
180°
Members or elements
0
21. The sum of the measures of the n angles in a polygon with n sides
9 & 6/7
(n-2) x 180
Parallelogram
No - only like radicals can be added.
22. What is the ratio of the sides of a 30-60-90 triangle?
P(E) = ø
3
12.5%
1:sqrt3:2
23. What is the empty set?
P(E) = ø
Ø
A set with no members - denoted by a circle with a diagonal through it.
2.592 kg
24. 1 is an
The steeper the slope.
Ab=k (k is a constant)
6 : 1 : 2
ODD number
25. 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?
288 (8 9 4)
Lies opposite the greater angle
An infinite set.
441000 = 1 10 10 10 21 * 21
26. 50 < all primes< 60
9
180°
53 - 59
Pi is the ratio of a circle'S circumference to its diameter.
27. (x+y)²
An angle which is supplementary to an interior angle.
A=½bh
3x - 4x - 5x
x²+2xy+y²
28. Factor a^2 + 2ab + b^2
Every number
A=pi*(r^2)
(a + b)^2
V=l×w×h
29. The perimeter of a square is 48 inches. The length of its diagonal is:
Ø
52
12sqrt2
37.5%
30. Legs 6 - 8. Hypotenuse?
Its divisible by 2 and by 3.
10
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
Reciprocal
31. Solve the quadratic equation ax^2 + bx + c= 0
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A = length x width
x^(4+7) = x^11
An expression with just one term (-6x - 2a^2)
32. b¹
Do not have slopes!
1
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
41 - 43 - 47
33. 1/2 divided by 3/7 is the same as
An expression with just one term (-6x - 2a^2)
1/2 times 7/3
No - only like radicals can be added.
V=side³
34. The objects in a set are called two names:
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Members or elements
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
2²
35. formula for distance problems
Distance=rate×time or d=rt
27
3 - -3
A reflection about the axis.
36. a(b-c)
Ab-ac
zero
Positive
53 - 59
37. The product of odd number of negative numbers
Negative
2.592 kg
Ø
(a - b)^2
38. Number of degrees in a triangle
180
A = length x width
The set of output values for a function.
A = pi(r^2)
39. 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?
F(x + c)
x^(4+7) = x^11
N! / (k!)(n-k)!
x(x - y + 1)
40. What are the real numbers?
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)
F(x + c)
37.5%
The last 2 digits are a multiple of 4. (i.e 144 .... 44 is a multiple of 4 - so 144 must also be a multiple of 4.)
41. To multiply a number by 10^x
P=2(l+w)
Move the decimal point to the right x places
83.333%
Negative
42. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
Relationship cannot be determined (what if x is negative?)
$11 -448
x^(6-3) = x^3
28
43. Obtuse Angle
Infinite.
(amount of decrease/original price) x 100%
y = 2x^2 - 3
angle that is greater than 90° but less than 180°
44. Pi is a ratio of what to what?
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183
45. 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?
3 - -3
3
N! / (n-k)!
A-b is positive
46. What are the members or elements of a set?
3x - 4x - 5x
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
P=2(l+w)
The objects within a set.
47. What is the 'domain' of a function?
C = (pi)d
The set of input values for a function.
71 - 73 - 79
A set with a number of elements which can be counted.
48. Convert 0.7% to a fraction.
7 / 1000
The sum of its digits is divisible by 3.
... the square of the ratios of the corresponding sides.
$11 -448
49. 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
18
A=(base)(height)
Relationship cannot be determined (what if x is negative?)
3x - 4x - 5x
50. 1n
A=pi*(r^2)
1
An arc is a portion of a circumference of a circle.
x²-y²