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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
180°
360°
1
V=Lwh

2. What are the real numbers?
x²-y²
90
Move the decimal point to the right x places
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)

3. Pi is a ratio of what to what?

4. The product of any number x and its reciprocal
An isosceles right triangle.
1
The sum of its digits is divisible by 3.
A<-b

5. 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 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)
The direction of the inequality is reversed.
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...
0

6. What is the name for a grouping of the members within a set based on a shared characteristic?
5 OR -5
1/x
A subset.
True

7. 60 < all primes <70
$3 -500 in the 9% and $2 -500 in the 7%.
61 - 67
360°
A tangent is a line that only touches one point on the circumference of a circle.

8. Ø is a multiple of
Two (Ø×2=Ø)
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/x
1/x

9. What is the graph of f(x) shifted upward c units or spaces?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
F(x) + c
A central angle is an angle formed by 2 radii.
N! / (k!)(n-k)!

10. 40 < all primes<50
Indeterminable.
90°
41 - 43 - 47
5 OR -5

11. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
4a^2(b)
Ø
y = 2x^2 - 3
1.7

12. Write 10 -843 X 10^7 in scientific notation
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...
180
1.0843 X 10^11
(a - b)(a + b)

13. Formula to calculate arc length?
Pi(diameter)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
A natural number greater than 1 that has no positive divisors other than 1 and itself
an angle that is less than 90°

14. Ø Is
EVEN
1 - P(E)
31 - 37
(n-2) x 180

15. What is a chord of a circle?
(2x7)³
A chord is a line segment joining two points on a circle.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A=(base)(height)

16. What percent of 40 is 22?
360°
55%
72
Add them. i.e. (5^7) * (5^3) = 5^10

17. 3 is the opposite of
3 - -3
D/t (distance)/(time)
3
Subtract them. i.e (5^7)/(5^3)= 5^4

18. How many sides does a hexagon have?
Positive
x - x+1 - x+2
P(E) = number of favorable outcomes/total number of possible outcomes
6

19. 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?
62.5%
x - x(SR3) - 2x
D=rt so r= d/t and t=d/r
2.592 kg

20. Circumference of a Circle
(base*height) / 2
83.333%
3
C=2 x pi x r OR pi x D

21. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
Even
A reflection about the axis.
P(E) = number of favorable outcomes/total number of possible outcomes
y = 2x^2 - 3

22. How to recognize a multiple of 6
8
Sum of digits is a multiple of 3 and the last digit is even.
(a + b)^2
Ø=P(E)=1

23. Positive integers that have exactly 2 positive divisors are
(rate)(time) d=rt
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Undefined
V=side³

24. 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?
500
(b + c)
55%
F(x) + c

25. If a product of two numbers is Ø - one number must be
A = length x width
500
8
Ø

26. 3/8 in percent?
A chord is a line segment joining two points on a circle.
6
37.5%
.0004809 X 10^11

27. 30 60 90
3x - 4x - 5x
zero
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
180

28. Product of any number and Ø is
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
4725
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Ø

29. The objects in a set are called two names:
Members or elements
Pi(diameter)
y/x is a constant
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.

30. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
1 - P(E)
Subtract them. i.e (5^7)/(5^3)= 5^4
12! / 5!7! = 792
Add them. i.e. (5^7) * (5^3) = 5^10

31. Area of a triangle?
The interesection of A and B.
y = (x + 5)/2
(base*height) / 2
Ab-ac

32. -3²
28. n = 8 - k = 2. n! / k!(n-k)!
A=pi*(r^2)
9
Be Zero!

33. In a Rectangle - each angles measures
.0004809 X 10^11
90°
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.)
3x - 4x - 5x

34. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
A 30-60-90 triangle.
Members or elements
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.
A central angle is an angle formed by 2 radii.

35. If a lamp decreases to $80 - from $100 - what is the decrease in price?
A²+b²=c²
(a - b)(a + b)
The union of A and B.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

36. In a rectangle - all angles are
Straight Angle
A 30-60-90 triangle.
Right
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)

37. The consecutive angles in a parallelogram equal
180°
(p + q)/5
1/a^6
x^(2(4)) =x^8 = (x^4)^2

38. The percent decrease of a quantity
= (actual decrease/Original amount) x 100%
(a + b)^2
Positive
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)

39. 1/8 in percent?
V=Lwh
12.5%
x²-y²
75:11

40. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
y = 2x^2 - 3
90
10
P=2(l+w)

41. a(b-c)
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
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
Ab-ac
An arc is a portion of a circumference of a circle.

42. 7 divided by Ø
1 & 37/132
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Indeterminable.
Null

43. Number of degrees in a triangle
Ab+ac
A reflection about the axis.
12.5%
180

44. 25+2³
The steeper the slope.
72
True
28

45. Define a 'Term' -
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)
x - x(SR3) - 2x
Even prime number
Move the decimal point to the right x places

46. 1 is the
Smallest positive integer
NOT A PRIME
Infinite.
A natural number greater than 1 that has no positive divisors other than 1 and itself

47. Slope given 2 points
3
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
M= (Y1-Y2)/(X1-X2)
(pi)r²

48. 1n
18
All numbers multiples of 1.
$3 -500 in the 9% and $2 -500 in the 7%.
1

49. Volume of a cube
Edge³
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
180°
3x - 4x - 5x

50. 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))?
(x+y)(x+y)
y/x is a constant
20.5
(a + b)^2