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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. 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?
Ø=P(E)=1
The two xes after factoring.
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)
$3 -500 in the 9% and $2 -500 in the 7%.

2. What is the 'Range' of a function?
M
The set of elements which can be found in either A or B.
F(x + c)
The set of output values for a function.

3. What is the graph of f(x) shifted right c units or spaces?
83.333%
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
F(x-c)
28. n = 8 - k = 2. n! / k!(n-k)!

4. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
2 & 3/7
41 - 43 - 47
Diameter(Pi)
The sum of digits is divisible by 9.

5. If a is inversely porportional to b - what does it equal?
Reciprocal
M= (Y1-Y2)/(X1-X2)
y = 2x^2 - 3
Ab=k (k is a constant)

6. -3³
180
Two (Ø×2=Ø)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
27

7. Area of a Parallelogram:
A=½bh
2(pi)r
360/n
A=(base)(height)

8. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
20.5
27
(distance)/(rate) d/r

9. A quadrilateral where two diagonals bisect each other
Parallelogram
4096
x²-2xy+y²
180°

10. Number of degrees in a triangle
180
1
3/2 - 5/3
A set with no members - denoted by a circle with a diagonal through it.

11. 1/2 divided by 3/7 is the same as
1/2 times 7/3
V=side³
A tangent is a line that only touches one point on the circumference of a circle.
an angle that is less than 90°

12. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
(2x7)³
B?b?b (where b is used as a factor n times)
28. n = 8 - k = 2. n! / k!(n-k)!
6

13. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
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)
The direction of the inequality is reversed.
The overlapping sections.

14. How to recognize a # as a multiple of 9
1 - P(E)
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
The sum of the digits is a multiple of 9.
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. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
87.5%
1
Straight Angle

16. In a rectangle - all angles are
The two xes after factoring.
1
Ø
Right

17. The only number that is equal to its opposite
12! / 5!7! = 792
70
Ø Ø=Ø
P= 2L + 2w

18. Reduce: 4.8 : 0.8 : 1.6
1
441000 = 1 10 10 10 21 * 21
6 : 1 : 2
26

19. If a product of two numbers is Ø - one number must be
Ø
2(pi)r
A= (1/2) b*h
Positive

20. 30 60 90
N! / (n-k)!
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
(rate)(time) d=rt
3x - 4x - 5x

21. The percent decrease of a quantity
Even
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.
2 & 3/7
= (actual decrease/Original amount) x 100%

22. Ø Is
EVEN
V=side³
(n-2) x 180
A natural number greater than 1 that has no positive divisors other than 1 and itself

23. Can you add sqrt 3 and sqrt 5?
71 - 73 - 79
No - only like radicals can be added.
The direction of the inequality is reversed.
Yes - like radicals can be added/subtracted.

24. Perimeter of a rectangle
V=l×w×h
P= 2L + 2w
7 / 1000
Move the decimal point to the right x places

25. What does scientific notation mean?
(a - b)^2
The set of elements found in both A and B.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
6

26. Can you subtract 3sqrt4 from sqrt4?
X
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.
Yes - like radicals can be added/subtracted.
Null

27. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
1.7
A=½bh
Ø
2^9 / 2 = 256

28. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
3/2 - 5/3
... the square of the ratios of the corresponding sides.
Two angles whose sum is 90.
1

29. 3/8 in percent?
1
1 & 37/132
37.5%
31 - 37

30. Any Horizontal line slope
zero
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)
2sqrt6
The greatest value minus the smallest.

31. (x^2)^4
2(pi)r
A = pi(r^2)
x^(2(4)) =x^8 = (x^4)^2
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

32. 1n
NOT A PRIME
48
1
The set of elements found in both A and B.

33. A number is divisible by 9 if...
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
87.5%
The sum of digits is divisible by 9.
1 - P(E)

34. How many 3-digit positive integers are even and do not contain the digit 4?
A multiple of every integer
41 - 43 - 47
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
288 (8 9 4)

35. Define a 'monomial'
71 - 73 - 79
8
An expression with just one term (-6x - 2a^2)
75:11

36. What is a finite set?
A set with a number of elements which can be counted.
Ab+ac
27^(-4)
Straight Angle

37. factored binomial product of (x+y)²
Ø=P(E)=1
x²+2xy+y²
An infinite set.
(a - b)(a + b)

38. Area of a circle
x^(4+7) = x^11
The set of elements which can be found in either A or B.
7 / 1000
(pi)r²

39. What are the roots of the quadrinomial x^2 + 2x + 1?
True
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.
441000 = 1 10 10 10 21 * 21
The two xes after factoring.

40. 0^0
Undefined
10! / (10-3)! = 720
an angle that is less than 90°
Move the decimal point to the right x places

41. Circumference of a circle
The longest arc between points A and B on a circle'S diameter.
360°
18
Pi(diameter)

42. How to recognize a multiple of 6
Sum of digits is a multiple of 3 and the last digit is even.
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)
The two xes after factoring.
y = 2x^2 - 3

43. What is the name for a grouping of the members within a set based on a shared characteristic?
Move the decimal point to the right x places
6 : 1 : 2
An isosceles right triangle.
A subset.

44. Legs 6 - 8. Hypotenuse?
28
4096
1
10

45. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
Relationship cannot be determined (what if x is negative?)
20.5
The sum of the digits is a multiple of 9.
an angle that is less than 90°

46. 1 is the
Smallest positive integer
An angle which is supplementary to an interior angle.
(x+y)(x-y)
Two angles whose sum is 90.

47. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
360/n
= (actual decrease/Original amount) x 100%
61 - 67

48. What is an exterior angle?
An angle which is supplementary to an interior angle.
Members or elements
(a - b)(a + b)
28

49. 10^6 has how many zeroes?
1:1:sqrt2
Ab=k (k is a constant)
A set with a number of elements which can be counted.
6

50. What is the 'Solution' for a system of linear equations?
An arc is a portion of a circumference of a circle.
The union of A and B.
The point of intersection of the systems.
A = length x width