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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. Slope
y2-y1/x2-x1
x^(6-3) = x^3
An angle which is supplementary to an interior angle.
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)

2. Area of a triangle
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
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)
180 degrees
A= (1/2) b*h

3. A number is divisible by 6 if...
Its divisible by 2 and by 3.
The greatest value minus the smallest.
180°
Ø=P(E)=1

4. The consecutive angles in a parallelogram equal
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 9.
The two xes after factoring.
180°

5. a^2 + 2ab + b^2
P(E) = ø
(a + b)^2
The greatest value minus the smallest.
1/x

6. How to recognize a multiple of 6
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
Sector area = (n/360) X (pi)r^2
All numbers multiples of 1.
Sum of digits is a multiple of 3 and the last digit is even.

7. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An infinite set.
An isosceles right triangle.
A= (1/2) b*h
Pi is the ratio of a circle'S circumference to its diameter.

8. What is the graph of f(x) shifted upward c units or spaces?
52
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
3
F(x) + c

9. Probability of E not occurring:
x²-2xy+y²
F(x-c)
1 - P(E)
The point of intersection of the systems.

10. Factor a^2 + 2ab + b^2
(a + b)^2
x²-2xy+y²
3 - -3
26

11. What is the graph of f(x) shifted downward c units or spaces?
y = 2x^2 - 3
F(x) - c
x - x(SR3) - 2x
Null

12. 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
18
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
1/x
Can be negative - zero - or positive

13. How many sides does a hexagon have?
6
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.
1
The steeper the slope.

14. What is an exterior angle?
An angle which is supplementary to an interior angle.
83.333%
360°
2

15. What is a set with no members called?
y = (x + 5)/2
3 - -3
The empty set - denoted by a circle with a diagonal through it.
V=Lwh

16. Pi is a ratio of what to what?

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17. 10<all primes<20
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.)
A natural number greater than 1 that has no positive divisors other than 1 and itself
11 - 13 - 17 - 19
26

18. Product of any number and Ø is
The set of input values for a function.
11 - 13 - 17 - 19
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Ø

19. Define an 'expression'.
Ø
70
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)
Positive or Negative

20. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
31 - 37
Null
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
A 30-60-90 triangle.

21. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
72
13pi / 2
72
90

22. What is a central angle?
A central angle is an angle formed by 2 radii.
NOT A PRIME
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
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.

23. Describe the relationship between the graphs of x^2 and (1/2)x^2
The second graph is less steep.
16.6666%
Two equal sides and two equal angles.
0

24. What is a minor arc?

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25. The sum of all angles around a point
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
y = (x + 5)/2
The interesection of A and B.
360°

26. An Angle that'S 180°
5 - 12 - 13
Straight Angle
The sum of the digits is a multiple of 9.
C = (pi)d

27. How to recognize a # as a multiple of 3
.0004809 X 10^11
Its divisible by 2 and by 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)
V=side³

28. If a product of two numbers is Ø - one number must be
13pi / 2
3x - 4x - 5x
Ø
Ø=P(E)=1

29. formula for distance problems
180°
The sum of the digits is a multiple of 9.
(a - b)(a + b)
Distance=rate×time or d=rt

30. What is the measure of an exterior angle of a regular pentagon?
72
Subtract them. i.e (5^7)/(5^3)= 5^4
2^9 / 2 = 256
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

31. What is the graph of f(x) shifted left c units or spaces?
0
F(x + c)
Lies opposite the greater angle
A percent is a fraction whose denominator is 100.

32. Dividing by a number is the same as multiplying it by its
A=(base)(height)
Reciprocal
1
x²-2xy+y²

33. What are congruent triangles?
Triangles with same measure and same side lengths.
Pi is the ratio of a circle'S circumference to its diameter.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
5 OR -5

34. Evaluate 3& 2/7 / 1/3
9 & 6/7
Yes - like radicals can be added/subtracted.
A=(base)(height)
A = pi(r^2)

35. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
x^(4+7) = x^11
Sum of digits is a multiple of 3 and the last digit is even.
A reflection about the axis.

36. A number is divisible by 4 is...
3 - 4 - 5
Its last two digits are divisible by 4.
(length)(width)(height)
Ø

37. What is an isoceles triangle?
2^9 / 2 = 256
1.0843 X 10^11
3
Two equal sides and two equal angles.

38. Is 0 even or odd?
1/2 times 7/3
Even
72
8

39. Perimeter of a rectangle
1
Positive
P= 2L + 2w
Every number

40. When multiplying exponential #s with the same base - you do this to the exponents...
A multiple of every integer
Ø
Two (Ø×2=Ø)
Add them. i.e. (5^7) * (5^3) = 5^10

41. Ø Is neither
= (actual decrease/Original amount) x 100%
Positive or Negative
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
6

42. 60 < all primes <70
Parallelogram
61 - 67
M= (Y1-Y2)/(X1-X2)
zero

43. What is the ratio of the sides of an isosceles right triangle?
1:1:sqrt2
90
A<-b
An isosceles right triangle.

44. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
Diameter(Pi)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Positive
4:5

45. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
18
The greatest value minus the smallest.
Cd
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

46. The product of any number x and its reciprocal
N! / (k!)(n-k)!
The set of elements found in both A and B.
1
x^(2(4)) =x^8 = (x^4)^2

47. To decrease a number by x%
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
67 - 71 - 73
Two equal sides and two equal angles.

48. 1 is the
Every number
Smallest positive integer
(length)(width)(height)
Indeterminable.

49. What is the name for a grouping of the members within a set based on a shared characteristic?
P=2(l+w)
Parallelogram
A subset.
72

50. 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?
360°
Null
75:11
2²