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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. Number of degrees in a triangle
Distance=rate×time or d=rt
F(x) - c
180
4:5

2. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
Ø
2
6 : 1 : 2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

3. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
A subset.

4. 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)
An isosceles right triangle.
Null
Two angles whose sum is 90.
4.25 - 6 - 22

5. P and r are factors of 100. What is greater - pr or 100?
180
F(x-c)
Indeterminable.
A 30-60-90 triangle.

6. a/Ø
A-b is positive
62.5%
True
Null

7. Is 0 even or odd?
Even
Add them. i.e. (5^7) * (5^3) = 5^10
(n-2) x 180
(2x7)³

8. What is the ratio of the sides of a 30-60-90 triangle?
1/a^6
7 / 1000
1:sqrt3:2
All numbers multiples of 1.

9. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
The second graph is less steep.
Lies opposite the greater angle
(x+y)(x+y)
90

10. What is the graph of f(x) shifted downward c units or spaces?
F(x) - c
A tangent is a line that only touches one point on the circumference of a circle.
angle that is greater than 90° but less than 180°
D/t (distance)/(time)

11. How to determine percent decrease?
(a - b)^2
1.0843 X 10^11
(amount of decrease/original price) x 100%
Every number

12. (x-y)²
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
x(x - y + 1)
x²-2xy+y²
The overlapping sections.

13. Define a 'Term' -
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)
1
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)
Reciprocal

14. Any Horizontal line slope
F(x + c)
27
Indeterminable.
zero

15. The Perimeter of a Square
3x - 4x - 5x
23 - 29
(a + b)^2
P=4s (s=side)

16. (6sqrt3) x (2sqrt5) =
A chord is a line segment joining two points on a circle.
The sum of digits is divisible by 9.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
(a + b)^2

17. Rate
A = pi(r^2)
An isosceles right triangle.
3x - 4x - 5x
D/t (distance)/(time)

18. 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
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
y = (x + 5)/2
Add them. i.e. (5^7) * (5^3) = 5^10

19. factored binomial product of (x-y)²
x²-2xy+y²
(p + q)/5
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
16.6666%

20. 5/8 in percent?
Every number
(p + q)/5
62.5%
6 : 1 : 2

21. Evaluate 4/11 + 11/12
A-b is positive
1 & 37/132
2
y = (x + 5)/2

22. Dividing by a number is the same as multiplying it by its
A tangent is a line that only touches one point on the circumference of a circle.
Reciprocal
P=2(l+w)
Arc length = (n/360) x pi(2r) where n is the number of degrees.

23. Evaluate 3& 2/7 / 1/3
The direction of the inequality is reversed.
Reciprocal
9 & 6/7
Ø

24. 60 < all primes <70
61 - 67
3/2 - 5/3
(a - b)^2
75:11

25. 6w^2 - w - 15 = 0
The union of A and B.
37.5%
3/2 - 5/3
(a + b)^2

26. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
0
The shortest arc between points A and B on a circle'S diameter.
1/2 times 7/3
Ab=k (k is a constant)

27. What is a minor arc?

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28. Probability of an Event
N! / (n-k)!
P(E) = number of favorable outcomes/total number of possible outcomes
$3 -500 in the 9% and $2 -500 in the 7%.
Ab+ac

29. What is the maximum value for the function g(x) = (-2x^2) -1?
(x+y)(x-y)
The longest arc between points A and B on a circle'S diameter.
(amount of decrease/original price) x 100%
1

30. When multiplying exponential #s with the same base - you do this to the exponents...
Add them. i.e. (5^7) * (5^3) = 5^10
(x+y)(x-y)
5 - 12 - 13
A grouping of the members within a set based on a shared characteristic.

31. First 10 prime #s
x²-2xy+y²
Ab+ac
.0004809 X 10^11
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

32. a<b then a - b is positive or negative?
12! / 5!7! = 792
1 & 37/132
A-b is negative
1

33. Formula for the area of a circle?
1
X
Its last two digits are divisible by 4.
A = pi(r^2)

34. Simplify 9^(1/2) X 4^3 X 2^(-6)?
The second graph is less steep.
3
zero
The set of input values for a function.

35. A number is divisible by 9 if...
A²+b²=c²
The sum of digits is divisible by 9.
An is positive
Ø

36. The product of any number x and its reciprocal
1
All numbers multiples of 1.
3 - -3
Positive

37. What is the graph of f(x) shifted right c units or spaces?
F(x-c)
7 / 1000
360°
1/x

38. 10^6 has how many zeroes?
1/a^6
No - only like radicals can be added.
6
1

39. The perimeter of a square is 48 inches. The length of its diagonal is:
The direction of the inequality is reversed.
P(E) = 1/1 = 1
Pi(diameter)
12sqrt2

40. 30 60 90
x^(4+7) = x^11
3x - 4x - 5x
Sum of digits is a multiple of 3 and the last digit is even.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

41. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
NOT A PRIME
3
An isosceles right triangle.
180°

42. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
48
87.5%
3
Every number

43. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
y = (x + 5)/2
Ø
500
Cd

44. 1/6 in percent?
26
48
Distance=rate×time or d=rt
16.6666%

45. 20<all primes<30
(a - b)^2
The sum of its digits is divisible by 3.
53 - 59
23 - 29

46. Area of a circle
360°
Infinite.
(pi)r²
500

47. formula for volume of a rectangular solid
3/2 - 5/3
V=l×w×h
1.0843 X 10^11
10

48. What are the integers?
Two angles whose sum is 90.
72
All numbers multiples of 1.
The empty set - denoted by a circle with a diagonal through it.

49. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
4725
The set of elements which can be found in either A or B.
P=2(l+w)

50. What are the irrational numbers?

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