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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 slope of a line in y=mx+b
The set of elements found in both A and B.
M
1
Distance=rate×time or d=rt

2. What is the ratio of the sides of a 30-60-90 triangle?
The longest arc between points A and B on a circle'S diameter.
1:sqrt3:2
The empty set - denoted by a circle with a diagonal through it.
D/t (distance)/(time)

3. When multiplying exponential #s with the same base - you do this to the exponents...
An infinite set.
6
Sum of digits is a multiple of 3 and the last digit is even.
Add them. i.e. (5^7) * (5^3) = 5^10

4. The reciprocal of any non-zero number is
1/x
Infinite.
Edge³
Ø=P(E)=1

5. What are congruent triangles?
(rate)(time) d=rt
16.6666%
Triangles with same measure and same side lengths.
0

6. To multiply a number by 10^x
A set with no members - denoted by a circle with a diagonal through it.
(pi)r²
Move the decimal point to the right x places
All numbers multiples of 1.

7. The ratio of the areas of two similar polygons is ...
... the square of the ratios of the corresponding sides.
180
3
The overlapping sections.

8. A prime number (or a prime)
1
The greatest value minus the smallest.
A natural number greater than 1 that has no positive divisors other than 1 and itself
(x+y)(x-y)

9. What is the maximum value for the function g(x) = (-2x^2) -1?
A=pi*(r^2)
1
(x+y)(x-y)
M= (Y1-Y2)/(X1-X2)

10. 1/2 divided by 3/7 is the same as
1/2 times 7/3
D/t (distance)/(time)
48
A chord is a line segment joining two points on a circle.

11. 70 < all primes< 80
71 - 73 - 79
1:sqrt3:2
Members or elements
A=pi*(r^2)

12. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
$3 -500 in the 9% and $2 -500 in the 7%.
zero
28. n = 8 - k = 2. n! / k!(n-k)!
Indeterminable.

13. Formula to find a circle'S circumference from its diameter?
C = (pi)d
2(pi)r
10! / 3!(10-3)! = 120
1

14. x^6 / x^3
x^(6-3) = x^3
Two equal sides and two equal angles.
ODD number
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)

15. If a<b - then
M= (Y1-Y2)/(X1-X2)
Lies opposite the greater angle
A+c<b+c
P= 2L + 2w

16. a^2 + 2ab + b^2
(a + b)^2
Can be negative - zero - or positive
A²+b²=c²
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

17. In any polygon - all external angles equal up to
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
(n-2) x 180
360°
12sqrt2

18. Ø is a multiple of
A grouping of the members within a set based on a shared characteristic.
27^(-4)
Two (Ø×2=Ø)
2sqrt6

19. The reciprocal of any non-zero #x is
10! / (10-3)! = 720
1/x
1
y/x is a constant

20. The perimeter of a square is 48 inches. The length of its diagonal is:
3x - 4x - 5x
4725
(a - b)^2
12sqrt2

21. A number is divisible by 4 is...
M
An arc is a portion of a circumference of a circle.
Its last two digits are divisible by 4.
2sqrt6

22. Area of a triangle?
(x+y)(x+y)
(base*height) / 2
A²+b²=c²
2sqrt6

23. The Perimeter of a rectangle
Cd
The empty set - denoted by a circle with a diagonal through it.
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)
P=2(l+w)

24. The percent decrease of a quantity
1
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
= (actual decrease/Original amount) x 100%
Cd

25. 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?
1/a^6
(a - b)(a + b)
Move the decimal point to the right x places
75:11

26. -3³
3 - 4 - 5
1
x²+2xy+y²
27

27. a^2 - b^2 =
An isosceles right triangle.
4a^2(b)
(a - b)(a + b)
A set with no members - denoted by a circle with a diagonal through it.

28. How many 3-digit positive integers are even and do not contain the digit 4?
5 - 12 - 13
288 (8 9 4)
A reflection about the origin.
The set of elements found in both A and B.

29. What is the set of elements found in both A and B?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
1
The interesection of A and B.
3 - -3

30. formula for area of a triangle
Two equal sides and two equal angles.
A=½bh
1
71 - 73 - 79

31. Volume of a rectangular solid
180°
(length)(width)(height)
0
Infinite.

32. When does a function automatically have a restricted domain (2)?
10! / (10-3)! = 720
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
9 : 25
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

33. 30 60 90
x - x(SR3) - 2x
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...
The objects within a set.
1/x

34. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
A-b is positive
4:5
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
26

35. 50 < all primes< 60
The set of output values for a function.
(x+y)(x+y)
53 - 59
The sum of digits is divisible by 9.

36. The sum of all angles around a point
360°
Members or elements
P= 2L + 2w
Pi is the ratio of a circle'S circumference to its diameter.

37. A number is divisible by 9 if...
A set with a number of elements which can be counted.
x²+2xy+y²
The sum of digits is divisible by 9.
180

38. What are the rational numbers?
an angle that is less than 90°
1
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
1

39. 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?
16.6666%
(amount of decrease/original price) x 100%
0
500

40. 25^(1/2) or sqrt. 25 =
5 OR -5
A chord is a line segment joining two points on a circle.
A reflection about the axis.
2.592 kg

41. factored binomial product of (x+y)²
Distance=rate×time or d=rt
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
x²+2xy+y²
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

42. The objects in a set are called two names:
23 - 29
67 - 71 - 73
Members or elements
No - only like radicals can be added.

43. Simplify the expression [(b^2 - c^2) / (b - c)]
An is positive
61 - 67
(b + c)
1/x

44. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
(a + b)^2
288 (8 9 4)
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.
A=pi*(r^2)

45. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
F(x-c)
Edge³
y/x is a constant
90

46. (2²)³
P=2(l+w)
A= (1/2) b*h
180°
26

47. A quadrilateral where two diagonals bisect each other
2 & 3/7
A+c<b+c
4.25 - 6 - 22
Parallelogram

48. (a^-1)/a^5
1/a^6
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
(x+y)(x-y)
12sqrt2

49. Convert 0.7% to a fraction.
N! / (n-k)!
7 / 1000
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)
180 degrees

50. formula for distance problems
Straight Angle
A-b is positive
Positive
Distance=rate×time or d=rt