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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. -3³
(a - b)(a + b)
27
x²+2xy+y²
an angle that is less than 90°

2. 30 60 90
5 - 12 - 13
2^9 / 2 = 256
C=2 x pi x r OR pi x D
48

3. What is the sum of the angles of a triangle?
180 degrees
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
1
An infinite set.

4. X is the opposite of
N! / (k!)(n-k)!
(length)(width)(height)
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...
X

5. Simplify (a^2 + b)^2 - (a^2 - b)^2
The union of A and B.
Positive or Negative
4a^2(b)
6

6. In a Regular Polygon - the measure of each exterior angle
(p + q)/5
A=(base)(height)
360/n
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.

7. What number between 70 & 75 - inclusive - has the greatest number of factors?
C = (pi)d
83.333%
72
An is positive

8. What is a tangent?
288 (8 9 4)
31 - 37
Ab-ac
A tangent is a line that only touches one point on the circumference of a circle.

9. What are the roots of the quadrinomial x^2 + 2x + 1?
A = length x width
The two xes after factoring.
The greatest value minus the smallest.
x - x+1 - x+2

10. If a is negative and n is even then an is (positive or negative?)
An is positive
x - x+1 - x+2
4:5
Positive

11. What is the 'Solution' for a set of inequalities.
(2x7)³
Every number
The overlapping sections.
A=pi*(r^2)

12. 6w^2 - w - 15 = 0
3/2 - 5/3
The set of input values for a function.
360°
12.5%

13. Solve the quadratic equation ax^2 + bx + c= 0
62.5%
11 - 13 - 17 - 19
5 - 12 - 13
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

14. What is a percent?
A percent is a fraction whose denominator is 100.
All numbers multiples of 1.
Smallest positive integer
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

15. What is the name of set with a number of elements which cannot be counted?
A=pi*(r^2)
An infinite set.
Be Zero!
A = length x width

16. For any number x
Can be negative - zero - or positive
A 30-60-90 triangle.
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)
62.5%

17. formula for volume of a rectangular solid
Ab=k (k is a constant)
V=l×w×h
10! / 3!(10-3)! = 120
Even prime number

18. formula for distance problems
A chord is a line segment joining two points on a circle.
Distance=rate×time or d=rt
360/n
EVEN

19. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
4725
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
53 - 59

20. The sum of the angles in a quadrilateral is
6
360°
D/t (distance)/(time)
A grouping of the members within a set based on a shared characteristic.

21. Slope of any line that goes up from left to right
Positive
An expression with just one term (-6x - 2a^2)
x²+2xy+y²
The direction of the inequality is reversed.

22. 7/8 in percent?
90pi
67 - 71 - 73
A set with no members - denoted by a circle with a diagonal through it.
87.5%

23. A prime number (or a prime)
(a + b)^2
53 - 59
C=2 x pi x r OR pi x D
A natural number greater than 1 that has no positive divisors other than 1 and itself

24. Which is greater? 200x^295 or 10x^294?
Smallest positive integer
4:5
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Relationship cannot be determined (what if x is negative?)

25. Vertical lines
An arc is a portion of a circumference of a circle.
x(x - y + 1)
Do not have slopes!
D/t (distance)/(time)

26. What is the graph of f(x) shifted downward c units or spaces?
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
F(x) - c
18
A reflection about the origin.

27. What is the set of elements found in both A and B?
The interesection of A and B.
5
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
62.5%

28. 4.809 X 10^7 =
20.5
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...
.0004809 X 10^11
Diameter(Pi)

29. Formula to calculate arc length?
288 (8 9 4)
The direction of the inequality is reversed.
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Arc length = (n/360) x pi(2r) where n is the number of degrees.

30. Important properties of a 30-60-90 triangle?
23 - 29
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 sum of the digits is a multiple of 9.
C = (pi)d

31. Legs: 3 - 4. Hypotenuse?
P(E) = ø
5
C = 2(pi)r
9

32. binomial product of (x+y)²
Factors are few - multiples are many.
180
= (actual decrease/Original amount) x 100%
(x+y)(x+y)

33. If a is positive - an is
13pi / 2
(a - b)^2
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Positive

34. A quadrilateral where two diagonals bisect each other
Parallelogram
A central angle is an angle formed by 2 radii.
x - x+1 - x+2
A=(base)(height)

35. What is the slope of a vertical line?

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36. x^6 / x^3
x^(6-3) = x^3
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
5 OR -5
An is positive

37. Evaluate (4^3)^2
4096
(2x7)³
P= 2L + 2w
y = 2x^2 - 3

38. If a<b - then
x(x - y + 1)
4.25 - 6 - 22
A+c<b+c
The steeper the slope.

39. If a pair of parallel lines is cut by a transversal that'S not perpendicular - the sum of any acute angle and any obtuse angle is
180
The overlapping sections.
3
Smallest positive integer

40. Convert 0.7% to a fraction.
Infinite.
Can be negative - zero - or positive
7 / 1000
y2-y1/x2-x1

41. The sum of the measures of the n angles in a polygon with n sides
(n-2) x 180
1/x
360/n
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

42. What are the irrational numbers?

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43. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
x^(4+7) = x^11
10! / (10-3)! = 720
360°
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

44. Pi is a ratio of what to what?

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45. How do you solve proportions? a/b=c/d
(x+y)(x+y)
X
x²-y²
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

46. Find the surface area of a cylinder with radius 3 and height 12.
Two (Ø×2=Ø)
7 / 1000
90pi
(p + q)/5

47. 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?
62.5%
500
Pi(diameter)
5

48. What is the 'Solution' for a system of linear equations?
55%
The set of input values for a function.
The point of intersection of the systems.
A = length x width

49. What is the 'Range' of a function?
The set of output values for a function.
180°
27
A reflection about the axis.

50. Ø²
The second graph is less steep.
3 - 4 - 5
Ø
180