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GRE Math: All In One

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 the angles in a quadrilateral is
Pi is the ratio of a circle'S circumference to its diameter.
2
360°
Sum of digits is a multiple of 3 and the last digit is even.

2. How many multiples does a given number have?
Infinite.
The set of input values for a function.
Indeterminable.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

3. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
75:11
2²
N! / (n-k)!
4096

4. To increase a number by x%
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
A²+b²=c²
3
An expression with just one term (-6x - 2a^2)

5. The product of odd number of negative numbers
Lies opposite the greater angle
Negative
1/x
4:5

6. 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
9 : 25
The greatest value minus the smallest.

7. 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?
x²+2xy+y²
4a^2(b)
N! / (n-k)!
1

8. The important properties of a 45-45-90 triangle?
1.0843 X 10^11
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 & 3/7
180

9. 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?
Ab+ac
(rate)(time) d=rt
72
500

10. P and r are factors of 100. What is greater - pr or 100?
.0004809 X 10^11
The greatest value minus the smallest.
Indeterminable.
The empty set - denoted by a circle with a diagonal through it.

11. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
The sum of the digits is a multiple of 9.
2 & 3/7
6
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

12. Probability of an Event
P(E) = number of favorable outcomes/total number of possible outcomes
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The empty set - denoted by a circle with a diagonal through it.
4725

13. Slope of any line that goes up from left to right
The sum of the digits is a multiple of 9.
Positive
The point of intersection of the systems.
1

14. 25+2³
5
48
y = (x + 5)/2
28

15. 2³×7³
$11 -448
Positive
13pi / 2
(2x7)³

16. formula for volume of a rectangular solid
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Ø=P(E)=1
7 / 1000
V=l×w×h

17. What are the members or elements of a set?
M
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Do not have slopes!
The objects within a set.

18. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
A set with a number of elements which can be counted.
$11 -448
The objects within a set.
An isosceles right triangle.

19. What is the surface area of a cylinder with radius 5 and height 8?
1
x - x(SR3) - 2x
130pi
0

20. Formula to find a circle'S circumference from its radius?
The two xes after factoring.
180°
72
C = 2(pi)r

21. To multiply a number by 10^x
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
Move the decimal point to the right x places
3/2 - 5/3
x²-2xy+y²

22. If y is directly proportional to x - what does it equal?
A 30-60-90 triangle.
y/x is a constant
True
Ø

23. 4.809 X 10^7 =
52
.0004809 X 10^11
Ø
10! / (10-3)! = 720

24. What is the maximum value for the function g(x) = (-2x^2) -1?
Relationship cannot be determined (what if x is negative?)
1
N! / (n-k)!
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

25. What is the ratio of the sides of a 30-60-90 triangle?
1:sqrt3:2
Its divisible by 2 and by 3.
A+c<b+c
x²-y²

26. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
an angle that is less than 90°
71 - 73 - 79
Add them. i.e. (5^7) * (5^3) = 5^10

27. What is a subset?
A grouping of the members within a set based on a shared characteristic.
10! / (10-3)! = 720
True
The sum of digits is divisible by 9.

28. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
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)
1/x
4:5

29. Area of a rectangle
The direction of the inequality is reversed.
A 30-60-90 triangle.
A = length x width
A= (1/2) b*h

30. Which is greater? 200x^295 or 10x^294?
(x+y)(x+y)
True
Relationship cannot be determined (what if x is negative?)
The shortest arc between points A and B on a circle'S diameter.

31. What is the ratio of the sides of an isosceles right triangle?
2
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
62.5%
1:1:sqrt2

32. Number of degrees in a triangle
$11 -448
180
1:sqrt3:2
90

33. The larger the absolute value of the slope...
All numbers multiples of 1.
Even prime number
The steeper the slope.
180 degrees

34. The negative exponent x?n is equivalent to what?
(x+y)(x-y)
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
360°
An is positive

35. Find distance when given time and rate
Do not have slopes!
(x+y)(x+y)
x - x(SR3) - 2x
D=rt so r= d/t and t=d/r

36. What are 'Supplementary angles?'
180
(base*height) / 2
Two angles whose sum is 180.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

37. the slope of a line in y=mx+b
9 & 6/7
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
M
180 degrees

38. 10^6 has how many zeroes?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
6
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...
The sum of digits is divisible by 9.

39. a(b+c)
(a - b)^2
X
180
Ab+ac

40. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
70
Add them. i.e. (5^7) * (5^3) = 5^10
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

41. a^2 + 2ab + b^2
The shortest arc between points A and B on a circle'S diameter.
The greatest value minus the smallest.
angle that is greater than 90° but less than 180°
(a + b)^2

42. Ø is a multiple of
The set of output values for a function.
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
x - x+1 - x+2
Two (Ø×2=Ø)

43. factored binomial product of (x-y)²
(a + b)^2
x²+2xy+y²
The set of output values for a function.
x²-2xy+y²

44. Can you subtract 3sqrt4 from sqrt4?
Yes - like radicals can be added/subtracted.
61 - 67
(a + b)^2
Factors are few - multiples are many.

45. Probability of Event all cases
(a + b)^2
Ø=P(E)=1
x²+2xy+y²
A chord is a line segment joining two points on a circle.

46. Distance
360/n
13pi / 2
(rate)(time) d=rt
1

47. An Angle that'S 180°
.0004809 X 10^11
Straight Angle
ODD number
70

48. How to recognize a # as a multiple of 4
x^(4+7) = x^11
Two (Ø×2=Ø)
13
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.)

49. The Perimeter of a Square
(a - b)^2
A=pi*(r^2)
Parallelogram
P=4s (s=side)

50. a(b-c)
Ab-ac
180°
(x+y)(x-y)
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)