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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. (12sqrt15) / (2sqrt5) =
F(x) - c
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
130pi
(rate)(time) d=rt

2. formula for volume of a rectangular solid
11 - 13 - 17 - 19
6
1/x
V=l×w×h

3. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
A 30-60-90 triangle.
A = length x width
4725
P=2(l+w)

4. Which is greater? 200x^295 or 10x^294?
Pi(diameter)
An arc is a portion of a circumference of a circle.
Relationship cannot be determined (what if x is negative?)
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

5. What are the members or elements of a set?
The objects within a set.
360°
Can be negative - zero - or positive
Negative

6. Product of any number and Ø is
52
Ø
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
A²+b²=c²

7. How to recognize a # as a multiple of 3
55%
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)
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)
Can be negative - zero - or positive

8. How to recognize a # as a multiple of 9
Add them. i.e. (5^7) * (5^3) = 5^10
M
The sum of the digits is a multiple of 9.
x²-2xy+y²

9. 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 longest side is opposite the largest (biggest) angle. The shortest side is opposite the smallest angle. Sides with the same lengths are opposite angles with the same measure.
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
(2x7)³
2.592 kg

10. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
360°
180
A reflection about the axis.

11. Define an 'expression'.
87.5%
72
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)
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)

12. What is the area of a regular hexagon with side 6?
180°
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
F(x-c)
2

13. Volume of a cube
Edge³
(length)(width)(height)
x²+2xy+y²
An is positive

14. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
4a^2(b)
12! / 5!7! = 792
The longest arc between points A and B on a circle'S diameter.

15. 6w^2 - w - 15 = 0
5 OR -5
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
3/2 - 5/3
N! / (k!)(n-k)!

16. 25/2³
A 30-60-90 triangle.
Sector area = (n/360) X (pi)r^2
2²
x²+2xy+y²

17. Probability of an Event
Negative
500
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
P(E) = number of favorable outcomes/total number of possible outcomes

18. 1/Ø=null If a>b then
4096
Ø
A<-b
360/n

19. a<b then a - b is positive or negative?
C = (pi)d
The shortest arc between points A and B on a circle'S diameter.
Ø
A-b is negative

20. a(b+c)
The point of intersection of the systems.
Ab+ac
4:5
70

21. Ø divided by 7
x²-2xy+y²
Ø
1:1:sqrt2
N! / (k!)(n-k)!

22. Slope of any line that goes down as you move from left to right is
1
The sum of the digits is a multiple of 9.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Negative

23. The ratio of the areas of two similar polygons is ...
28. n = 8 - k = 2. n! / k!(n-k)!
.0004809 X 10^11
x²-y²
... the square of the ratios of the corresponding sides.

24. What does scientific notation mean?
3
Pi(diameter)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
90

25. a^2 - b^2 =
9 & 6/7
Null
28. n = 8 - k = 2. n! / k!(n-k)!
(a - b)(a + b)

26. What is the graph of f(x) shifted upward c units or spaces?
Right
18
Negative
F(x) + c

27. Factor x^2 - xy + x.
Ab+ac
27^(-4)
x(x - y + 1)
A=(base)(height)

28. What are the integers?
All numbers multiples of 1.
Right
An isosceles right triangle.
A=(base)(height)

29. The percent decrease of a quantity
= (actual decrease/Original amount) x 100%
C = 2(pi)r
(a + b)^2
10! / (10-3)! = 720

30. How to find the circumference of a circle which circumscribes a square?
Null
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
1.7
(x+y)(x+y)

31. Time
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...
(distance)/(rate) d/r
x^(6-3) = x^3
67 - 71 - 73

32. What is a percent?
A percent is a fraction whose denominator is 100.
x - x(SR3) - 2x
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Distance=rate×time or d=rt

33. 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?
48
y2-y1/x2-x1
27^(-4)
Reciprocal

34. 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)
1
1 - P(E)
an angle that is less than 90°

35. If a lamp increases from $80 to $100 - what is the percent increase?
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
N! / (k!)(n-k)!
Ø Ø=Ø
A subset.

36. If a lamp decreases to $80 - from $100 - what is the decrease in price?
A=½bh
A grouping of the members within a set based on a shared characteristic.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
83.333%

37. Formula for the area of a sector of a circle?
53 - 59
Sector area = (n/360) X (pi)r^2
52
Smallest positive integer

38. Perfect Squares 1-15
A percent is a fraction whose denominator is 100.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
A²+b²=c²
441000 = 1 10 10 10 21 * 21

39. One is (a prime or not?)
360°
53 - 59
NOT A PRIME
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

40. First 10 prime #s
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
A= (1/2) b*h
12.5%
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)

41. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
Reciprocal
zero
70
Ø

42. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
The sum of the digits is a multiple of 9.
1
1.7
3/2 - 5/3

43. What is the ratio of the sides of an isosceles right triangle?
1:1:sqrt2
The steeper the slope.
... the square of the ratios of the corresponding sides.
12.5%

44. 30< all primes<40
3/2 - 5/3
1/x
A multiple of every integer
31 - 37

45. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
9 & 6/7
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
52
4096

46. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
The set of output values for a function.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
x^(2(4)) =x^8 = (x^4)^2

47. Slope given 2 points
2(pi)r
M= (Y1-Y2)/(X1-X2)
Every number
Positive

48. Area of a circle
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
The two xes after factoring.
90pi
A=pi*(r^2)

49. How many 3-digit positive integers are even and do not contain the digit 4?
26
The steeper the slope.
288 (8 9 4)
Null

50. In a rectangle - all angles are
12! / 5!7! = 792
Right
angle that is greater than 90° but less than 180°
(12/2) x (sqrt15 / sqrt5) = 6sqrt3