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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 given 2 points
M= (Y1-Y2)/(X1-X2)
$11 -448
P=2(l+w)
72

2. formula for distance problems
Distance=rate×time or d=rt
441000 = 1 10 10 10 21 * 21
55%
90°

3. Formula to find a circle'S circumference from its radius?
x²-2xy+y²
C = 2(pi)r
(a - b)(a + b)
2

4. The objects in a set are called two names:
EVEN
Members or elements
3 - 4 - 5
Ø

5. 1/2 divided by 3/7 is the same as
28
1/2 times 7/3
Undefined
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

6. Important properties of a 30-60-90 triangle?
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
180
$11 -448
4.25 - 6 - 22

7. What does scientific notation mean?
48
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
500
A 30-60-90 triangle.

8. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
7 / 1000
A chord is a line segment joining two points on a circle.
Undefined - because we can'T divide by 0.
4725

9. (12sqrt15) / (2sqrt5) =
5 - 12 - 13
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Members or elements
Smallest positive integer

10. the slope of a line in y=mx+b
x²-y²
A = pi(r^2)
angle that is greater than 90° but less than 180°
M

11. When dividing exponential #s with the same base - you do this to the exponents...
X
(n-2) x 180
Can be negative - zero - or positive
Subtract them. i.e (5^7)/(5^3)= 5^4

12. A quadrilateral where two diagonals bisect each other
x²-y²
20.5
Parallelogram
x^(6-3) = x^3

13. What is the 'Solution' for a set of inequalities.
F(x + c)
The overlapping sections.
EVEN
Two equal sides and two equal angles.

14. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
500
(x+y)(x+y)
(a + b)^2
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.

15. 25^(1/2) or sqrt. 25 =
A set with a number of elements which can be counted.
5 OR -5
90
3

16. Factor a^2 + 2ab + b^2
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
(a + b)^2
2
87.5%

17. Ø is a multiple of
B?b?b (where b is used as a factor n times)
Every number
(a - b)^2
Indeterminable.

18. One is (a prime or not?)
18
1
Every number
NOT A PRIME

19. A number is divisible by 9 if...
The sum of digits is divisible by 9.
5 - 12 - 13
F(x-c)
360°

20. 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?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
2.592 kg
55%
Its divisible by 2 and by 3.

21. An Angle that'S 180°
The set of elements found in both A and B.
An is positive
The sum of its digits is divisible by 3.
Straight Angle

22. Probability of Event all cases
.0004809 X 10^11
The greatest value minus the smallest.
12sqrt2
Ø=P(E)=1

23. What is the empty set?
A-b is negative
180°
A set with no members - denoted by a circle with a diagonal through it.
A reflection about the origin.

24. What is a percent?
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
10! / 3!(10-3)! = 120
A percent is a fraction whose denominator is 100.
x - x+1 - x+2

25. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
Two angles whose sum is 180.
2 & 3/7
Subtract them. i.e (5^7)/(5^3)= 5^4
(amount of decrease/original price) x 100%

26. Can you add sqrt 3 and sqrt 5?
288 (8 9 4)
No - only like radicals can be added.
an angle that is less than 90°
90

27. Pythagorean theorem
A reflection about the origin.
12sqrt2
A²+b²=c²
An isosceles right triangle.

28. What is the 'Range' of a function?
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.
The set of output values for a function.
1 & 37/132
P(E) = ø

29. What is the slope of a vertical line?

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30. What are congruent triangles?
F(x + c)
Triangles with same measure and same side lengths.
(base*height) / 2
90pi

31. 8.84 / 5.2
Negative
The set of input values for a function.
1.7
2 & 3/7

32. Which is greater? 27^(-4) or 9^(-8)
27^(-4)
V=Lwh
The sum of the digits is a multiple of 9.
The sum of digits is divisible by 9.

33. Perfect Squares 1-15
(x+y)(x+y)
The union of A and B.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
12! / 5!7! = 792

34. Ø is
Even
F(x) - c
An isosceles right triangle.
C = 2(pi)r

35. The reciprocal of any non-zero number is
1/x
Yes - like radicals can be added/subtracted.
Its divisible by 2 and by 3.
2(pi)r

36. What is the set of elements which can be found in either A or B?
500
A natural number greater than 1 that has no positive divisors other than 1 and itself
Factors are few - multiples are many.
The union of A and B.

37. Circumference of a circle
2(pi)r
The overlapping sections.
2.592 kg
x²+2xy+y²

38. What is the ratio of the sides of an isosceles right triangle?
16.6666%
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
1:1:sqrt2
(n-2) x 180

39. factored binomial product of (x+y)²
x²+2xy+y²
28. n = 8 - k = 2. n! / k!(n-k)!
6
$11 -448

40. 2³×7³
Even
Ø
4.25 - 6 - 22
(2x7)³

41. What is a subset?
A grouping of the members within a set based on a shared characteristic.
(b + c)
A-b is positive
(pi)r²

42. What are the rational numbers?
3
27
3
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

43. To multiply a number by 10^x
The sum of its digits is divisible by 3.
Move the decimal point to the right x places
An is positive
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

44. When does a function automatically have a restricted domain (2)?
Even
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

45. 1/8 in percent?
12.5%
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
A chord is a line segment joining two points on a circle.
180°

46. 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?
90
75:11
1 & 37/132
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

47. What is the set of elements found in both A and B?
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
5 OR -5
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 interesection of A and B.

48. Area of a triangle?
6 : 1 : 2
1
(base*height) / 2
The union of A and B.

49. Circumference of a circle
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
3x - 4x - 5x
y/x is a constant
Pi(diameter)

50. Evaluate 3& 2/7 / 1/3
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)
A reflection about the origin.
Even
9 & 6/7