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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 measure of a straight angle
3
A=pi*(r^2)
28
180°

2. 1 is the
The set of input values for a function.
Smallest positive integer
12.5%
Ø

3. If the two sides of a triangle are unequal then the longer side.................
2 & 3/7
Lies opposite the greater angle
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
A-b is negative

4. Formula to find a circle'S circumference from its diameter?
1.7
Ø
C = (pi)d
y/x is a constant

5. To increase a number by x%
x^(6-3) = x^3
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
1 - P(E)
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

6. 4.809 X 10^7 =
.0004809 X 10^11
(a - b)^2
62.5%
The overlapping sections.

7. Which is greater? 64^5 or 16^8
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
The set of output values for a function.
Distance=rate×time or d=rt
x²+2xy+y²

8. Area of a triangle
x(x - y + 1)
180
A= (1/2) b*h
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)

9. Circumference of a circle
4.25 - 6 - 22
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)
D=rt so r= d/t and t=d/r
Pi(diameter)

10. Area of a triangle?
= (actual decrease/Original amount) x 100%
1:sqrt3:2
1/a^6
(base*height) / 2

11. The reciprocal of any non-zero #x is
Positive
1/x
2.592 kg
The direction of the inequality is reversed.

12. Number of degrees in a triangle
1
Its last two digits are divisible by 4.
180
A tangent is a line that only touches one point on the circumference of a circle.

13. X is the opposite of
28. n = 8 - k = 2. n! / k!(n-k)!
(a + b)^2
The set of output values for a function.
X

14. 30 60 90
(amount of decrease/original price) x 100%
5 - 12 - 13
62.5%
The union of A and B.

15. To decrease a number by x%
441000 = 1 10 10 10 21 * 21
x^(2(4)) =x^8 = (x^4)^2
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
(amount of decrease/original price) x 100%

16. What are the roots of the quadrinomial x^2 + 2x + 1?
Sum of digits is a multiple of 3 and the last digit is even.
The two xes after factoring.
360°
Arc length = (n/360) x pi(2r) where n is the number of degrees.

17. Probability of an Event
F(x-c)
P(E) = number of favorable outcomes/total number of possible outcomes
5 - 12 - 13
Ø

18. The perimeter of a square is 48 inches. The length of its diagonal is:
13pi / 2
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
3
12sqrt2

19. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
The two xes after factoring.
C = (pi)d
62.5%
Cd

20. 60 < all primes <70
x²-y²
Ø
61 - 67
(n-2) x 180

21. Slope
A-b is negative
An angle which is supplementary to an interior angle.
y2-y1/x2-x1
11 - 13 - 17 - 19

22. What does scientific notation mean?
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
N! / (k!)(n-k)!
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
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

23. What are congruent triangles?
Triangles with same measure and same side lengths.
180°
An expression with just one term (-6x - 2a^2)
An angle which is supplementary to an interior angle.

24. How to recognize a # as a multiple of 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)
1/a^6
V=side³
The union of A and B.

25. What is the sum of the angles of a triangle?
180 degrees
6 : 1 : 2
Even
(p + q)/5

26. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
9 : 25
1:sqrt3:2
Even
2

27. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
Ø
$3 -500 in the 9% and $2 -500 in the 7%.
3
3/2 - 5/3

28. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Sector area = (n/360) X (pi)r^2
28. n = 8 - k = 2. n! / k!(n-k)!

29. Ø Is
10
EVEN
The union of A and B.
C=2 x pi x r OR pi x D

30. What is the graph of f(x) shifted upward c units or spaces?
5 OR -5
An angle which is supplementary to an interior angle.
The objects within a set.
F(x) + c

31. What is the ratio of the sides of an isosceles right triangle?
x^(4+7) = x^11
360/n
Two equal sides and two equal angles.
1:1:sqrt2

32. (12sqrt15) / (2sqrt5) =
Pi(diameter)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
28. n = 8 - k = 2. n! / k!(n-k)!
Ø Ø=Ø

33. A prime number (or a prime)
12! / 5!7! = 792
A natural number greater than 1 that has no positive divisors other than 1 and itself
The union of A and B.
5 - 12 - 13

34. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
An arc is a portion of a circumference of a circle.
(a - b)^2
(length)(width)(height)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

35. formula for the volume of a cube
5 OR -5
V=side³
= (actual decrease/Original amount) x 100%
Do not have slopes!

36. Evaluate 4/11 + 11/12
(b + c)
y = 2x^2 - 3
1 & 37/132
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

37. What is a finite set?
(length)(width)(height)
A set with a number of elements which can be counted.
A = pi(r^2)
Negative

38. a>b then a - b is positive or negative?
12! / 5!7! = 792
4a^2(b)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
A-b is positive

39. The only number that is equal to its opposite
V=side³
Ø Ø=Ø
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.)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

40. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
(2x7)³
No - only like radicals can be added.
The union of A and B.
True

41. What is the 'union' of A and B?
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)
F(x + c)
The set of elements which can be found in either A or B.
Every number

42. What are complementary angles?
A<-b
Add them. i.e. (5^7) * (5^3) = 5^10
Two angles whose sum is 90.
37.5%

43. What are 'Supplementary angles?'
= (actual decrease/Original amount) x 100%
3/2 - 5/3
Two angles whose sum is 180.
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.

44. What is a central angle?
ODD number
A central angle is an angle formed by 2 radii.
Ø
Sum of digits is a multiple of 3 and the last digit is even.

45. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
Ø
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.
16.6666%

46. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
y = (x + 5)/2
All numbers multiples of 1.
An isosceles right triangle.
Even

47. (2²)³
A<-b
26
1:sqrt3:2
48

48. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
83.333%
x - x(SR3) - 2x
180°

49. 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.
The set of output values for a function.
11 - 13 - 17 - 19

50. 10<all primes<20
Ab=k (k is a constant)
A 30-60-90 triangle.
11 - 13 - 17 - 19
41 - 43 - 47