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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. Pi is a ratio of what to what?

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2. Pythagorean theorem
V=Lwh
The sum of its digits is divisible by 3.
A²+b²=c²
Its last two digits are divisible by 4.

3. Acute Angle
y/x is a constant
(a - b)(a + b)
61 - 67
an angle that is less than 90°

4. Formula for the area of a circle?
62.5%
180°
Add them. i.e. (5^7) * (5^3) = 5^10
A = pi(r^2)

5. Ø is
130pi
Indeterminable.
Even
180

6. What is the 'Range' of a function?
V=side³
A=½bh
The set of output values for a function.
20.5

7. 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?
10! / (10-3)! = 720
The shortest arc between points A and B on a circle'S diameter.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
A<-b

8. (a^-1)/a^5
P=2(l+w)
1/a^6
Add them. i.e. (5^7) * (5^3) = 5^10
A 30-60-90 triangle.

9. Evaluate (4^3)^2
The greatest value minus the smallest.
x²+2xy+y²
4096
y = 2x^2 - 3

10. Can you simplify sqrt72?
Pi is the ratio of a circle'S circumference to its diameter.
The sum of the digits is a multiple of 9.
A tangent is a line that only touches one point on the circumference of a circle.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

11. Circumference of a Circle
C=2 x pi x r OR pi x D
The set of output values for a function.
Infinite.
A natural number greater than 1 that has no positive divisors other than 1 and itself

12. What is the 'union' of A and B?
The set of elements which can be found in either A or B.
P=4s (s=side)
10! / (10-3)! = 720
The sum of the digits is a multiple of 9.

13. The sum of the angles in a quadrilateral is
7 / 1000
A reflection about the origin.
360°
72

14. What is the 'Solution' for a system of linear equations?
360°
The point of intersection of the systems.
16.6666%
8

15. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
= (actual decrease/Original amount) x 100%
A = pi(r^2)
90
4:5

16. 7/8 in percent?
Sum of digits is a multiple of 3 and the last digit is even.
3
87.5%
Edge³

17. How to recognize a # as a multiple of 9
180
1.7
The sum of the digits is a multiple of 9.
(p + q)/5

18. 1/Ø=null If a>b then
A<-b
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.
x - x+1 - x+2
(a - b)^2

19. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
Undefined - because we can'T divide by 0.
$3 -500 in the 9% and $2 -500 in the 7%.
F(x) + c
Add them. i.e. (5^7) * (5^3) = 5^10

20. 5/6 in percent?
x²-2xy+y²
A-b is negative
Two equal sides and two equal angles.
83.333%

21. 30 60 90
3x - 4x - 5x
A reflection about the axis.
5 - 12 - 13
1

22. 5x^2 - 35x -55 = 0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
An infinite set.
500

23. What are the real numbers?
9 : 25
The overlapping sections.
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)
Negative

24. The larger the absolute value of the slope...
The empty set - denoted by a circle with a diagonal through it.
P(E) = number of favorable outcomes/total number of possible outcomes
The steeper the slope.
Members or elements

25. 1 is the
Smallest positive integer
61 - 67
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)
The overlapping sections.

26. (12sqrt15) / (2sqrt5) =
B?b?b (where b is used as a factor n times)
62.5%
A=½bh
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

27. the slope of a line in y=mx+b
Ø
x²-2xy+y²
M
Ø Ø=Ø

28. Product of any number and Ø is
Ø
The two xes after factoring.
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Pi is the ratio of a circle'S circumference to its diameter.

29. 70 < all primes< 80
1
71 - 73 - 79
A set with no members - denoted by a circle with a diagonal through it.
3

30. Evaluate 3& 2/7 / 1/3
(pi)r²
10
9 & 6/7
x - x+1 - x+2

31. X is the opposite of
X
$11 -448
The union of A and B.
y = 2x^2 - 3

32. What is the graph of f(x) shifted left c units or spaces?
9 : 25
Diameter(Pi)
F(x + c)
All numbers multiples of 1.

33. What is the 'Range' of a series of numbers?
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=4s (s=side)
The greatest value minus the smallest.
441000 = 1 10 10 10 21 * 21

34. 3 is the opposite of
3
2²
3 - 4 - 5
1 & 37/132

35. 6w^2 - w - 15 = 0
3/2 - 5/3
X
1.0843 X 10^11
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. Legs 6 - 8. Hypotenuse?
(p + q)/5
y = 2x^2 - 3
10
Pi(diameter)

37. Describe the relationship between 3x^2 and 3(x - 1)^2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
angle that is greater than 90° but less than 180°

38. x^4 + x^7 =
10! / 3!(10-3)! = 120
1:sqrt3:2
2(pi)r
x^(4+7) = x^11

39. Slope of any line that goes down as you move from left to right is
A reflection about the axis.
The overlapping sections.
53 - 59
Negative

40. Ø Is
1
Subtract them. i.e (5^7)/(5^3)= 5^4
A tangent is a line that only touches one point on the circumference of a circle.
EVEN

41. Important properties of a 30-60-90 triangle?
EVEN
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
83.333%
Its last two digits are divisible by 4.

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?
(distance)/(rate) d/r
X
48
Even prime number

43. a(b+c)
Its last two digits are divisible by 4.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
4096
Ab+ac

44. Positive integers that have exactly 2 positive divisors are
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
y = (x + 5)/2
6
D=rt so r= d/t and t=d/r

45. Evaluate 4/11 + 11/12
1 & 37/132
x²-y²
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Ab-ac

46. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
1
A = length x width
x - x+1 - x+2

47. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
4096
The set of elements found in both A and B.
Two angles whose sum is 180.
Cd

48. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
Lies opposite the greater angle
Null
360°
True

49. 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?
1 - P(E)
90°
A=pi*(r^2)
500

50. What are the integers?
All numbers multiples of 1.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
27^(-4)
180°