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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. 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.
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.
A-b is negative
(a + b)^2

2. 30< all primes<40
A=pi*(r^2)
Right
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
31 - 37

3. The consecutive angles in a parallelogram equal
180°
18
5 OR -5
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)

4. formula for distance problems
9 & 6/7
Distance=rate×time or d=rt
x - x+1 - x+2
an angle that is less than 90°

5. What is a chord of a circle?
A chord is a line segment joining two points on a circle.
The two xes after factoring.
A= (1/2) b*h
Positive or Negative

6. Pi is a ratio of what to what?

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7. Factor a^2 + 2ab + b^2
(a + b)^2
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
F(x-c)
The objects within a set.

8. What is the 'Range' of a function?
62.5%
The set of output values for a function.
Ø Ø=Ø
18

9. When dividing exponential #s with the same base - you do this to the exponents...
Subtract them. i.e (5^7)/(5^3)= 5^4
3/2 - 5/3
1:sqrt3:2
Even

10. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
Every number
1/x
5

11. The sum of the angles in a quadrilateral is
Its last two digits are divisible by 4.
Pi is the ratio of a circle'S circumference to its diameter.
360°
Negative

12. What are 'Supplementary angles?'
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.
C=2 x pi x r OR pi x D
75:11

13. 30 60 90
3x - 4x - 5x
P= 2L + 2w
Ab=k (k is a constant)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

14. Describe the relationship between the graphs of x^2 and (1/2)x^2
The second graph is less steep.
87.5%
13pi / 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

15. Solve the quadratic equation ax^2 + bx + c= 0
Ab-ac
8
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
41 - 43 - 47

16. A number is divisible by 4 is...
4:5
Add them. i.e. (5^7) * (5^3) = 5^10
Its last two digits are divisible by 4.
0

17. What is the ratio of the sides of a 30-60-90 triangle?
Infinite.
A natural number greater than 1 that has no positive divisors other than 1 and itself
1:sqrt3:2
Right

18. P and r are factors of 100. What is greater - pr or 100?
C=2 x pi x r OR pi x D
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)
31 - 37
Indeterminable.

19. The Denominator can never
(a + b)^2
Two angles whose sum is 180.
Be Zero!
The empty set - denoted by a circle with a diagonal through it.

20. 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
Pi is the ratio of a circle'S circumference to its diameter.
Every number
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
18

21. What is an isoceles triangle?
Two angles whose sum is 180.
Straight Angle
A = pi(r^2)
Two equal sides and two equal angles.

22. Probability of Event all cases
P(E) = number of favorable outcomes/total number of possible outcomes
Ø=P(E)=1
180
1:sqrt3:2

23. 1n
M
x²-y²
1
x^(4+7) = x^11

24. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
1:sqrt3:2
1/x
Cd
A 30-60-90 triangle.

25. The larger the absolute value of the slope...
(a + b)^2
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The steeper the slope.
x²-y²

26. (6sqrt3) x (2sqrt5) =
Two angles whose sum is 90.
The steeper the slope.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

27. Circumference of a Circle
6
C=2 x pi x r OR pi x D
Edge³
Sector area = (n/360) X (pi)r^2

28. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
Even prime number
Distance=rate×time or d=rt
Parallelogram
4.25 - 6 - 22

29. the slope of a line in y=mx+b
M
An isosceles right triangle.
C = 2(pi)r
4a^2(b)

30. a/Ø
C = (pi)d
D/t (distance)/(time)
Null
Sector area = (n/360) X (pi)r^2

31. Perimeter of a rectangle
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
P= 2L + 2w
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
2(pi)r

32. 1 is a divisor of
The union of A and B.
72
Every number
130pi

33. Ø divided by 7
A= (1/2) b*h
Ø
(base*height) / 2
True

34. -3³
27
52
360/n
x²-2xy+y²

35. 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?
Be Zero!
441000 = 1 10 10 10 21 * 21
75:11
48

36. Simplify the expression (p^2 - q^2)/ -5(q - p)
An angle which is supplementary to an interior angle.
83.333%
Even
(p + q)/5

37. The product of odd number of negative numbers
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
x - x+1 - x+2
Negative
52

38. bn
1/x
Every number
Move the decimal point to the right x places
B?b?b (where b is used as a factor n times)

39. 25/2³
V=l×w×h
2²
7 / 1000
A²+b²=c²

40. How to find the circumference of a circle which circumscribes a square?
3
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
180
A subset.

41. 5/6 in percent?
10
83.333%
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
Ø

42. What percent of 40 is 22?
55%
x^(2(4)) =x^8 = (x^4)^2
F(x) + c
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

43. How to determine percent decrease?
(a - b)(a + b)
M= (Y1-Y2)/(X1-X2)
(amount of decrease/original price) x 100%
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

44. factored binomial product of (x-y)²
12! / 5!7! = 792
x²-2xy+y²
A=½bh
360°

45. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
B?b?b (where b is used as a factor n times)
Straight Angle
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
The union of A and B.

46. The sum of the measures of the n angles in a polygon with n sides
(n-2) x 180
1/a^6
1
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

47. formula for volume of a rectangular solid
V=l×w×h
Ab+ac
180°
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

48. The product of any number x and its reciprocal
1
2²
360/n
P(E) = number of favorable outcomes/total number of possible outcomes

49. A number is divisible by 3 if ...
The shortest arc between points A and B on a circle'S diameter.
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
The sum of its digits is divisible by 3.
2^9 / 2 = 256

50. Convert 0.7% to a fraction.
V=side³
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
7 / 1000
A reflection about the axis.