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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. Obtuse Angle
angle that is greater than 90° but less than 180°
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
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.)
A central angle is an angle formed by 2 radii.
2. x^6 / x^3
P= 2L + 2w
x^(6-3) = x^3
Yes - like radicals can be added/subtracted.
Cd
3. How to recognize a # as a multiple of 9
Members or elements
The sum of the digits is a multiple of 9.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
20.5
4. Vertical lines
The set of input values for a function.
72
Do not have slopes!
0
5. What is a central angle?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
A central angle is an angle formed by 2 radii.
Add them. i.e. (5^7) * (5^3) = 5^10
7 / 1000
6. Area of a Parallelogram:
A=(base)(height)
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)
Ab=k (k is a constant)
The sum of the digits it a multiple of 3 and the last two digits is a multiple of 4. (i.e 144: 1+4+4=9 which is a multiple of 3 - and 44 is a multiple of 4 - so 144 is a multiple of 12.)
7. Circumference of a circle?
Be Zero!
(p + q)/5
x²-y²
Diameter(Pi)
8. a^0 =
Pi(diameter)
1
(n-2) x 180
an angle that is less than 90°
9. 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?
90°
N! / (n-k)!
Ø
4:5
10. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
Parallelogram
20.5
An expression with just one term (-6x - 2a^2)
3 - -3
11. Factor a^2 + 2ab + b^2
180
(a + b)^2
Every number
Parallelogram
12. Ø is
EVEN
angle that is greater than 90° but less than 180°
1
A multiple of every integer
13. Distance
Two angles whose sum is 90.
(rate)(time) d=rt
Cd
71 - 73 - 79
14. What is a chord of a circle?
A chord is a line segment joining two points on a circle.
No - only like radicals can be added.
Subtract them. i.e (5^7)/(5^3)= 5^4
The sum of its digits is divisible by 3.
15. Probability of Event all cases
Ø=P(E)=1
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
The overlapping sections.
130pi
16. What are the members or elements of a set?
Right
The objects within a set.
NOT A PRIME
An isosceles right triangle.
17. Factor x^2 - xy + x.
Straight Angle
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
x(x - y + 1)
20.5
18. Formula to find a circle'S circumference from its diameter?
x - x(SR3) - 2x
No - only like radicals can be added.
y = (x + 5)/2
C = (pi)d
19. The product of odd number of negative numbers
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
Negative
48
20. factored binomial product of (x-y)²
360/n
x²-2xy+y²
A subset.
x²+2xy+y²
21. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
4:5
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
1
360°
22. What number between 70 & 75 - inclusive - has the greatest number of factors?
72
A=½bh
441000 = 1 10 10 10 21 * 21
90
23. What is the name for a grouping of the members within a set based on a shared characteristic?
0
Cd
75:11
A subset.
24. Convert 0.7% to a fraction.
7 / 1000
x²-y²
Ø
3 - 4 - 5
25. If a is positive - an is
Positive
D/t (distance)/(time)
A reflection about the origin.
The sum of the digits is a multiple of 3 (i.e. 45 ... 4 + 5 = 9 so the whole thing is a multiple of 3)
26. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
12! / 5!7! = 792
A chord is a line segment joining two points on a circle.
10! / (10-3)! = 720
An isosceles right triangle.
27. How to recognize a # as a multiple of 3
The sum of the digits is a multiple of 3 (i.e. 45 ... 4 + 5 = 9 so the whole thing is a multiple of 3)
Add them. i.e. (5^7) * (5^3) = 5^10
y/x is a constant
(base*height) / 2
28. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
A-b is positive
1/x
(a - b)(a + b)
90
29. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
Ab-ac
4:5
Every number
The objects within a set.
30. 1 is an
x(x - y + 1)
F(x-c)
Ø Ø=Ø
ODD number
31. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2
An expression with just one term (-6x - 2a^2)
The empty set - denoted by a circle with a diagonal through it.
360°
32. To multiply a number by 10^x
Can be negative - zero - or positive
2^9 / 2 = 256
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Move the decimal point to the right x places
33. a/Ø
Null
Factors are few - multiples are many.
A=½bh
1
34. To decrease a number by x%
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
180
(a - b)^2
Ø
35. What are complementary angles?
x²-y²
B?b?b (where b is used as a factor n times)
Two angles whose sum is 90.
Move the decimal point to the right x places
36. First 10 prime #s
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
The triangle is a right triangle. The hypotenuse is twice the length of the shorter leg. The ratio of the length of the three sides is x:xv3:2x
0
1.7
37. 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
2.592 kg
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Positive or Negative
18
38. What is the measure of an exterior angle of a regular pentagon?
An arc is a portion of a circumference of a circle.
72
The set of elements found in both A and B.
1/x
39. Ø divided by 7
(x+y)(x-y)
No - only like radicals can be added.
Ø
P=4s (s=side)
40. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
V=Lwh
4725
P(E) = number of favorable outcomes/total number of possible outcomes
41. How many sides does a hexagon have?
6
Undefined
Indeterminable.
Even prime number
42. the measure of a straight angle
P=4s (s=side)
Null
180°
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
43. 4.809 X 10^7 =
1:1:sqrt2
.0004809 X 10^11
53 - 59
... the square of the ratios of the corresponding sides.
44. What is the maximum value for the function g(x) = (-2x^2) -1?
Even prime number
Positive
87.5%
1
45. What is the surface area of a cylinder with radius 5 and height 8?
130pi
2(pi)r
8
A grouping of the members within a set based on a shared characteristic.
46. What is the set of elements found in both A and B?
13
The interesection of A and B.
10
360°
47. What are congruent triangles?
A reflection about the origin.
Every number
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
Triangles with same measure and same side lengths.
48. What is the graph of f(x) shifted right c units or spaces?
8
F(x-c)
Add them. i.e. (5^7) * (5^3) = 5^10
x - x+1 - x+2
49. binomial product of (x+y)(x-y)
Undefined
x²-y²
10
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
50. Slope given 2 points
9 : 25
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
M= (Y1-Y2)/(X1-X2)
Its divisible by 2 and by 3.