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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
Ab-ac
The sum of digits is divisible by 9.
72

2. Formula for the area of a sector of a circle?
Positive
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
3
Sector area = (n/360) X (pi)r^2

3. The product of any number x and its reciprocal
1 - P(E)
1
Diameter(Pi)
83.333%

4. 5x^2 - 35x -55 = 0
x^(4+7) = x^11
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
ODD number
The point of intersection of the systems.

5. If E is certain
A = length x width
P(E) = 1/1 = 1
The shortest arc between points A and B on a circle'S diameter.
The union of A and B.

6. 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
The two xes after factoring.
A 30-60-90 triangle.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

7. Find the surface area of a cylinder with radius 3 and height 12.
90pi
A 30-60-90 triangle.
Subtract them. i.e (5^7)/(5^3)= 5^4
angle that is greater than 90° but less than 180°

8. x^2 = 9. What is the value of x?
A multiple of every integer
The sum of its digits is divisible by 3.
F(x) - c
3 - -3

9. The Denominator can never
P= 2L + 2w
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)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Be Zero!

10. 3 is the opposite of
3
Factors are few - multiples are many.
1
No - only like radicals can be added.

11. Circumference of a circle?
Diameter(Pi)
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
A = pi(r^2)
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

12. Write 10 -843 X 10^7 in scientific notation
75:11
True
1.0843 X 10^11
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)

13. 1/2 divided by 3/7 is the same as
1/2 times 7/3
y2-y1/x2-x1
A= (1/2) b*h
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...

14. 10^6 has how many zeroes?
180°
True
6
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

15. What is a central angle?
A central angle is an angle formed by 2 radii.
180
P(E) = 1/1 = 1
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

16. Consecutive integers
Ø
5
x - x+1 - x+2
The two xes after factoring.

17. The negative exponent x?n is equivalent to what?
31 - 37
3
48
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

18. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
A reflection about the origin.
(a - b)(a + b)
y2-y1/x2-x1
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

19. Vertical lines
Do not have slopes!
A set with a number of elements which can be counted.
5
3

20. The only number that is equal to its opposite
1.0843 X 10^11
87.5%
Two angles whose sum is 90.
Ø Ø=Ø

21. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
N! / (n-k)!
x²-2xy+y²
A+c<b+c
180°

22. 30< all primes<40
X
A = pi(r^2)
31 - 37
48

23. How to determine percent decrease?
6
500
F(x + c)
(amount of decrease/original price) x 100%

24. (2²)³
27^(-4)
N! / (n-k)!
26
A chord is a line segment joining two points on a circle.

25. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
0
(x+y)(x-y)
180

26. If y is directly proportional to x - what does it equal?
87.5%
y/x is a constant
x²+2xy+y²
P=4s (s=side)

27. What is an isoceles triangle?
70
Two equal sides and two equal angles.
A+c<b+c
angle that is greater than 90° but less than 180°

28. To decrease a number by x%
2(pi)r
The empty set - denoted by a circle with a diagonal through it.
M= (Y1-Y2)/(X1-X2)
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

29. Can you simplify sqrt72?
The overlapping sections.
1/2 times 7/3
The set of output values for a function.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

30. Find distance when given time and rate
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...
Positive
P(E) = number of favorable outcomes/total number of possible outcomes
D=rt so r= d/t and t=d/r

31. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
288 (8 9 4)
10! / 3!(10-3)! = 120
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)

32. An Angle that'S 180°
Straight Angle
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
An infinite set.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

33. Distance
y2-y1/x2-x1
28. n = 8 - k = 2. n! / k!(n-k)!
72
(rate)(time) d=rt

34. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
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 square of the ratios of the corresponding sides.
12.5%
10! / 3!(10-3)! = 120

35. Simplify the expression (p^2 - q^2)/ -5(q - p)
Two angles whose sum is 180.
1:sqrt3:2
(p + q)/5
6 : 1 : 2

36. Ø is a multiple of
Two (Ø×2=Ø)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Every number
70

37. In any polygon - all external angles equal up to
Yes - like radicals can be added/subtracted.
C = (pi)d
360°
The sum of the digits is a multiple of 9.

38. The sum of the measures of the n angles in a polygon with n sides
An arc is a portion of a circumference of a circle.
(n-2) x 180
9 & 6/7
Indeterminable.

39. formula for the volume of a cube
2^9 / 2 = 256
Ab+ac
V=side³
67 - 71 - 73

40. 60 < all primes <70
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
61 - 67
Distance=rate×time or d=rt
X

41. 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?
C = (pi)d
zero
x²+2xy+y²
500

42. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
83.333%
A reflection about the axis.
The interesection of A and B.
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

43. What are the integers?
y = 2x^2 - 3
All numbers multiples of 1.
(base*height) / 2
1.0843 X 10^11

44. Ø Is neither
x²+2xy+y²
Positive or Negative
The interesection of A and B.
EVEN

45. What is the set of elements found in both A and B?
3 - -3
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
4.25 - 6 - 22
The interesection of A and B.

46. 50 < all primes< 60
53 - 59
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Ø Ø=Ø
Two angles whose sum is 90.

47. If a is inversely porportional to b - what does it equal?
288 (8 9 4)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Ab=k (k is a constant)
Straight Angle

48. The larger the absolute value of the slope...
83.333%
The steeper the slope.
x^(4+7) = x^11
87.5%

49. The sum of the angles in a quadrilateral is
Null
Positive
Ø
360°

50. First 10 prime #s
Two angles whose sum is 180.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
A-b is positive
Relationship cannot be determined (what if x is negative?)