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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. The important properties of a 45-45-90 triangle?
180 degrees
52
The steeper the slope.
The triangle is a right triangle. The triangle is isosceles (AC=BC). The ratio of the lengths of the three sides is x:x:xv2.
2. First 10 prime #s
A tangent is a line that only touches one point on the circumference of a circle.
The set of elements which can be found in either A or B.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
x - x(SR3) - 2x
3. Area of a Parallelogram:
A reflection about the origin.
... the square of the ratios of the corresponding sides.
A=(base)(height)
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.)
4. The reciprocal of any non-zero number is
The set of output values for a function.
A reflection about the origin.
No - only like radicals can be added.
1/x
5. (a^-1)/a^5
2(pi)r
A-b is positive
12! / 5!7! = 792
1/a^6
6. Which is greater? 200x^295 or 10x^294?
(pi)r²
an angle that is less than 90°
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
Relationship cannot be determined (what if x is negative?)
7. Obtuse Angle
A grouping of the members within a set based on a shared characteristic.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
angle that is greater than 90° but less than 180°
A= (1/2) b*h
8. Describe the relationship between the graphs of x^2 and (1/2)x^2
Positive or Negative
(n-2) x 180
(distance)/(rate) d/r
The second graph is less steep.
9. The Denominator can never
1/2 times 7/3
True
$11 -448
Be Zero!
10. If Event is impossible
V=side³
A set with a number of elements which can be counted.
8
P(E) = ø
11. a>b then a - b is positive or negative?
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
C = (pi)d
A-b is positive
Two angles whose sum is 180.
12. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
$11 -448
83.333%
Its divisible by 2 and by 3.
13. the measure of a straight angle
Be Zero!
An infinite set.
180°
Ab-ac
14. What number between 70 & 75 - inclusive - has the greatest number of factors?
The sum of its digits is divisible by 3.
A=(base)(height)
(amount of decrease/original price) x 100%
72
15. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
72
True
1/x
55%
16. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
An angle which is supplementary to an interior angle.
0
72
Two angles whose sum is 90.
17. 5/6 in percent?
5 - 12 - 13
Add them. i.e. (5^7) * (5^3) = 5^10
83.333%
P(E) = 1/1 = 1
18. 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)!
5 OR -5
x^(4+7) = x^11
62.5%
19. What is the set of elements found in both A and B?
x²-2xy+y²
Null
A central angle is an angle formed by 2 radii.
The interesection of A and B.
20. a(b-c)
Ab-ac
angle that is greater than 90° but less than 180°
12.5%
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
21. What are the smallest three prime numbers greater than 65?
Right
P=4s (s=side)
1
67 - 71 - 73
22. Slope given 2 points
F(x) - c
M= (Y1-Y2)/(X1-X2)
x - x(SR3) - 2x
3 - -3
23. Legs 5 - 12. Hypotenuse?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A reflection about the origin.
13
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
24. Find distance when given time and rate
6
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
A = pi(r^2)
D=rt so r= d/t and t=d/r
25. What is an exterior angle?
1.0843 X 10^11
B?b?b (where b is used as a factor n times)
6 : 1 : 2
An angle which is supplementary to an interior angle.
26. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
(a - b)(a + b)
10! / (10-3)! = 720
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
28. n = 8 - k = 2. n! / k!(n-k)!
27. binomial product of (x+y)(x-y)
A subset.
x²-y²
10! / 3!(10-3)! = 120
Even
28. Ø is a multiple of
Two (Ø×2=Ø)
An infinite set.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
3 - -3
29. Simplify the expression [(b^2 - c^2) / (b - c)]
Move the decimal point to the right x places
A grouping of the members within a set based on a shared characteristic.
Indeterminable.
(b + c)
30. Area of a rectangle
Sector area = (n/360) X (pi)r^2
A-b is negative
12.5%
A = length x width
31. a(b+c)
F(x + c)
Null
Ab+ac
N! / (k!)(n-k)!
32. Can you add sqrt 3 and sqrt 5?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
No - only like radicals can be added.
Parallelogram
Pi(diameter)
33. binomial product of (x+y)²
The second graph is less steep.
Members or elements
(x+y)(x+y)
6
34. To decrease a number by x%
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
The empty set - denoted by a circle with a diagonal through it.
83.333%
A set with no members - denoted by a circle with a diagonal through it.
35. The consecutive angles in a parallelogram equal
C = (pi)d
360°
P(E) = ø
180°
36. If a is positive - an is
F(x) - c
Positive
The direction of the inequality is reversed.
27
37. What is the maximum value for the function g(x) = (-2x^2) -1?
2.592 kg
2sqrt6
1
A= (1/2) b*h
38. 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?
4725
x²+2xy+y²
B?b?b (where b is used as a factor n times)
N! / (k!)(n-k)!
39. Formula to find a circle'S circumference from its diameter?
5 - 12 - 13
7 / 1000
All numbers multiples of 1.
C = (pi)d
40. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
Relationship cannot be determined (what if x is negative?)
A<-b
2.592 kg
Undefined - because we can'T divide by 0.
41. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
angle that is greater than 90° but less than 180°
2 & 3/7
1/2 times 7/3
42. (x-y)²
8
Triangles with same measure and same side lengths.
X
x²-2xy+y²
43. What is a percent?
The union of A and B.
A percent is a fraction whose denominator is 100.
Undefined - because we can'T divide by 0.
Relationship cannot be determined (what if x is negative?)
44. Volume of a cube
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Positive
Edge³
The set of output values for a function.
45. 1 is an
A=(base)(height)
1
Two equal sides and two equal angles.
ODD number
46. Circumference of a circle
2(pi)r
P(E) = number of favorable outcomes/total number of possible outcomes
A percent is a fraction whose denominator is 100.
1
47. (x+y)²
x²-y²
3 - 4 - 5
x²+2xy+y²
10
48. Ø is a multiple of
Positive
V=l×w×h
Move the decimal point to the right x places
Every number
49. formula for the volume of a cube
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)
75:11
A set with a number of elements which can be counted.
V=side³
50. Which is greater? 64^5 or 16^8
Ø
The set of input values for a function.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
(x+y)(x+y)