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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. A prime number (or a prime)
53 - 59
The sum of its digits is divisible by 3.
All the numbers on the number line (negative - rational - irrational - decimal - integer). All the numbers on the GRE are real. (-2 - 1 - .25 - 1/2 - pi)
A natural number greater than 1 that has no positive divisors other than 1 and itself

2. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
90
70
x^(4+7) = x^11
Yes - like radicals can be added/subtracted.

3. 50 < all primes< 60
10
A central angle is an angle formed by 2 radii.
5
53 - 59

4. 1/Ø=null If a>b then
A subset.
A<-b
A-b is negative
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

5. A number is divisible by 4 is...
Negative
The set of elements found in both A and B.
An arc is a portion of a circumference of a circle.
Its last two digits are divisible by 4.

6. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
18
52
An isosceles right triangle.
$3 -500 in the 9% and $2 -500 in the 7%.

7. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
8
Undefined - because we can'T divide by 0.
x²-2xy+y²

8. How to recognize a # as a multiple of 9
5 OR -5
Its last two digits are divisible by 4.
The sum of the digits is a multiple of 9.
The interesection of A and B.

9. Distance
360°
Cd
(rate)(time) d=rt
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.

10. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
90
N! / (n-k)!
Lies opposite the greater angle

11. Pythagorean theorem
1
A²+b²=c²
52
Even

12. What are complementary angles?
Two angles whose sum is 90.
9
Cd
F(x) + c

13. The Denominator can never
A = length x width
Be Zero!
0
3

14. Is 0 even or odd?
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
A percent is a fraction whose denominator is 100.
x²-y²
Even

15. What is the 'domain' of a function?
x^(4+7) = x^11
180°
A=pi*(r^2)
The set of input values for a function.

16. 20<all primes<30
Ø
(a + b)^2
23 - 29
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)

17. If a product of two numbers is Ø - one number must be
288 (8 9 4)
Ø
10! / 3!(10-3)! = 120
Ab=k (k is a constant)

18. binomial product of (x+y)(x-y)
x²-y²
0
Move the decimal point to the right x places
3 - -3

19. What is the graph of f(x) shifted upward c units or spaces?
28
13
87.5%
F(x) + c

20. (a^-1)/a^5
1/a^6
67 - 71 - 73
Triangles with same measure and same side lengths.
Members or elements

21. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
An is positive
Ø Ø=Ø
1/a^6

22. 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
(x+y)(x+y)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
(rate)(time) d=rt
180

23. a/Ø
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
9 : 25
Null
Lies opposite the greater angle

24. Define a 'Term' -
The union of A and B.
2(pi)r
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)
= (actual decrease/Original amount) x 100%

25. What is the surface area of a cylinder with radius 5 and height 8?
130pi
A+c<b+c
20.5
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)

26. The Perimeter of a Square
A+c<b+c
P=4s (s=side)
V=side³
Sector area = (n/360) X (pi)r^2

27. a^2 + 2ab + b^2
P= 2L + 2w
(a + b)^2
2sqrt6
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

28. Formula for the area of a circle?
A+c<b+c
Null
A = pi(r^2)
67 - 71 - 73

29. If E is certain
The sum of its digits is divisible by 3.
P(E) = 1/1 = 1
11 - 13 - 17 - 19
x²-2xy+y²

30. The Perimeter of a rectangle
P=2(l+w)
N! / (k!)(n-k)!
1
The shortest arc between points A and B on a circle'S diameter.

31. The product of odd number of negative numbers
Negative
90pi
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Two (Ø×2=Ø)

32. Define an 'expression'.
(2x7)³
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)
Parallelogram
2²

33. Area of a circle
A grouping of the members within a set based on a shared characteristic.
(pi)r²
Do not have slopes!
1.0843 X 10^11

34. A number is divisible by 3 if ...
C = 2(pi)r
The second graph is less steep.
13
The sum of its digits is divisible by 3.

35. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
Undefined - because we can'T divide by 0.
2 & 3/7
EVEN
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

36. What is a subset?
A grouping of the members within a set based on a shared characteristic.
(p + q)/5
Reciprocal
12! / 5!7! = 792

37. 1/6 in percent?
16.6666%
360°
The sum of its digits is divisible by 3.
V=l×w×h

38. First 10 prime #s
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.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
EVEN

39. What is an isoceles triangle?
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)
(pi)r²
Two equal sides and two equal angles.
3

40. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
A percent is a fraction whose denominator is 100.
an angle that is less than 90°
90
Cd

41. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
A subset.
27^(-4)
13pi / 2
A reflection about the origin.

42. What number between 70 & 75 - inclusive - has the greatest number of factors?
72
B?b?b (where b is used as a factor n times)
Ab-ac
1

43. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
The shortest arc between points A and B on a circle'S diameter.
The set of elements which can be found in either A or B.
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.

44. In a Rectangle - each angles measures
An isosceles right triangle.
90°
27^(-4)
The point of intersection of the systems.

45. What is the measure of an exterior angle of a regular pentagon?
Ø
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
72
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)

46. a(b-c)
Ab-ac
288 (8 9 4)
A natural number greater than 1 that has no positive divisors other than 1 and itself
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

47. 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?
75:11
An infinite set.
1 - P(E)
2²

48. What percent of 40 is 22?
Sum of digits is a multiple of 3 and the last digit is even.
Lies opposite the greater angle
Arc length = (n/360) x pi(2r) where n is the number of degrees.
55%

49. If y is directly proportional to x - what does it equal?
A tangent is a line that only touches one point on the circumference of a circle.
B?b?b (where b is used as a factor n times)
1
y/x is a constant

50. 30 60 90
1/x
37.5%
3 - 4 - 5
Ø