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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 sum of all angles around a point
360°
A-b is positive
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Two angles whose sum is 180.
2. Which is greater? 64^5 or 16^8
The sum of the digits is a multiple of 9.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The set of output values for a function.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
3. If a lamp decreases to $80 - from $100 - what is the decrease in price?
Cd
an angle that is less than 90°
The greatest value minus the smallest.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
4. If E is certain
P(E) = 1/1 = 1
Distance=rate×time or d=rt
Even prime number
An arc is a portion of a circumference of a circle.
5. Probability of Event all cases
M
x^(2(4)) =x^8 = (x^4)^2
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Ø=P(E)=1
6. 20<all primes<30
... the square of the ratios of the corresponding sides.
(rate)(time) d=rt
23 - 29
1
7. 1n
1
87.5%
75:11
An is positive
8. binomial product of (x+y)²
3/2 - 5/3
(x+y)(x+y)
37.5%
The sum of its digits is divisible by 3.
9. (x^2)^4
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...
x^(2(4)) =x^8 = (x^4)^2
72
18
10. Can you add sqrt 3 and sqrt 5?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
62.5%
37.5%
No - only like radicals can be added.
11. When multiplying exponential #s with the same base - you do this to the exponents...
Add them. i.e. (5^7) * (5^3) = 5^10
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
67 - 71 - 73
N! / (n-k)!
12. 30 60 90
90°
3x - 4x - 5x
P=4s (s=side)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
13. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
53 - 59
8
A set with no members - denoted by a circle with a diagonal through it.
14. Probability of E not occurring:
3
26
A-b is negative
1 - P(E)
15. What is the ratio of the sides of a 30-60-90 triangle?
(a - b)^2
1:sqrt3:2
41 - 43 - 47
y = (x + 5)/2
16. Product of any number and Ø is
Indeterminable.
Ø
x²-2xy+y²
41 - 43 - 47
17. formula for area of a triangle
23 - 29
Cd
12! / 5!7! = 792
A=½bh
18. formula for volume of a rectangular solid
V=l×w×h
(distance)/(rate) d/r
1
Two angles whose sum is 180.
19. Slope of any line that goes up from left to right
23 - 29
Ab-ac
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
Positive
20. Find the surface area of a cylinder with radius 3 and height 12.
1
90pi
130pi
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
21. How to recognize if a # is a multiple of 12
9 : 25
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.)
Ø
x - x+1 - x+2
22. The negative exponent x?n is equivalent to what?
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
2(pi)r
9 : 25
(rate)(time) d=rt
23. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
x²-y²
13
48
All numbers multiples of 1.
24. If a lamp increases from $80 to $100 - what is the percent increase?
A set with no members - denoted by a circle with a diagonal through it.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
3 - 4 - 5
Right
25. 7/8 in percent?
Its divisible by 2 and by 3.
87.5%
71 - 73 - 79
P(E) = number of favorable outcomes/total number of possible outcomes
26. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
Ø
The sum of the digits is a multiple of 9.
4725
Even
27. Write 10 -843 X 10^7 in scientific notation
A percent is a fraction whose denominator is 100.
The shortest arc between points A and B on a circle'S diameter.
90pi
1.0843 X 10^11
28. What does scientific notation mean?
Positive
X
angle that is greater than 90° but less than 180°
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
29. 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?
The union of A and B.
1.7
2.592 kg
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
30. Define a 'Term' -
x²-y²
Positive
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)
Factors are few - multiples are many.
31. the measure of a straight angle
288 (8 9 4)
x^(6-3) = x^3
180°
Its divisible by 2 and by 3.
32. a>b then a - b is positive or negative?
A-b is positive
71 - 73 - 79
360°
1
33. Legs: 3 - 4. Hypotenuse?
5
1/x
EVEN
angle that is greater than 90° but less than 180°
34. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
3/2 - 5/3
70
A²+b²=c²
Positive
35. Factor a^2 + 2ab + b^2
(a + b)^2
1
Negative
$11 -448
36. A quadrilateral where two diagonals bisect each other
Relationship cannot be determined (what if x is negative?)
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
Parallelogram
$3 -500 in the 9% and $2 -500 in the 7%.
37. One is (a prime or not?)
Even
An angle which is supplementary to an interior angle.
The set of elements found in both A and B.
NOT A PRIME
38. What is the name of set with a number of elements which cannot be counted?
27^(-4)
A chord is a line segment joining two points on a circle.
A<-b
An infinite set.
39. Ø is a multiple of
Negative
13pi / 2
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
Two (Ø×2=Ø)
40. Whats the difference between factors and multiples?
Factors are few - multiples are many.
The sum of its digits is divisible by 3.
Negative
90
41. Ø is
P(E) = 1/1 = 1
M
Even
Move the decimal point to the right x places
42. formula for distance problems
360°
x^(4+7) = x^11
Distance=rate×time or d=rt
9 & 6/7
43. formula for the volume of a cube
V=side³
A grouping of the members within a set based on a shared characteristic.
A reflection about the origin.
The sum of the digits is a multiple of 9.
44. What is an isoceles triangle?
Two equal sides and two equal angles.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
... the square of the ratios of the corresponding sides.
x - x+1 - x+2
45. Area of a Parallelogram:
Members or elements
360°
A=(base)(height)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
46. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
A 30-60-90 triangle.
The sum of digits is divisible by 9.
EVEN
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.)
47. The product of odd number of negative numbers
NOT A PRIME
Negative
3 - 4 - 5
Pi is the ratio of a circle'S circumference to its diameter.
48. Pi is a ratio of what to what?
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49. The sum of the angles in a quadrilateral is
360°
Null
N! / (n-k)!
x^(2(4)) =x^8 = (x^4)^2
50. If a<b - then
3 - 4 - 5
A+c<b+c
1
The set of elements which can be found in either A or B.
Can you answer 50 questions in 15 minutes?
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