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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. Evaluate 4/11 + 11/12
70
180
1 & 37/132
1:1:sqrt2

2. What is the surface area of a cylinder with radius 5 and height 8?
90°
130pi
61 - 67
31 - 37

3. The product of any number x and its reciprocal
The second graph is less steep.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
3 - -3
1

4. Pi is a ratio of what to what?

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5. One is (a prime or not?)
4a^2(b)
(x+y)(x+y)
NOT A PRIME
A tangent is a line that only touches one point on the circumference of a circle.

6. If a is negative and n is even then an is (positive or negative?)
1/x
A=½bh
An is positive
180

7. Simplify (a^2 + b)^2 - (a^2 - b)^2
72
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
2^9 / 2 = 256
4a^2(b)

8. 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
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
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 chord is a line segment joining two points on a circle.

9. 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
20.5
180
87.5%
A-b is negative

10. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A<-b
angle that is greater than 90° but less than 180°
90

11. What are congruent triangles?
The two xes after factoring.
Triangles with same measure and same side lengths.
X
x^(4+7) = x^11

12. Vertical lines
(a - b)^2
Do not have slopes!
The second graph is less steep.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

13. 10<all primes<20
11 - 13 - 17 - 19
All numbers multiples of 1.
62.5%
Right

14. 8.84 / 5.2
Every number
1.7
Edge³
x²-2xy+y²

15. Define a 'Term' -
18
Factors are few - multiples are many.
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)
C=2 x pi x r OR pi x D

16. 6w^2 - w - 15 = 0
D=rt so r= d/t and t=d/r
An angle which is supplementary to an interior angle.
The set of elements found in both A and B.
3/2 - 5/3

17. When multiplying exponential #s with the same base - you do this to the exponents...
The set of output values for a function.
Add them. i.e. (5^7) * (5^3) = 5^10
A set with a number of elements which can be counted.
61 - 67

18. Describe the relationship between 3x^2 and 3(x - 1)^2
M= (Y1-Y2)/(X1-X2)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
A = pi(r^2)
(rate)(time) d=rt

19. Find distance when given time and rate
A-b is positive
A central angle is an angle formed by 2 radii.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
D=rt so r= d/t and t=d/r

20. a/Ø
5 - 12 - 13
Null
x - x+1 - x+2
.0004809 X 10^11

21. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
A-b is negative
0
Ø=P(E)=1
Straight Angle

22. x^6 / x^3
Edge³
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)
x^(6-3) = x^3
Two angles whose sum is 90.

23. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
2sqrt6
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.
All numbers multiples of 1.
x²-2xy+y²

24. First 10 prime #s
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
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)
The greatest value minus the smallest.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

25. What is the 'Solution' for a system of linear equations?
A tangent is a line that only touches one point on the circumference of a circle.
1 - P(E)
5 OR -5
The point of intersection of the systems.

26. If a<b - then
Two (Ø×2=Ø)
The objects within a set.
Distance=rate×time or d=rt
A+c<b+c

27. 50 < all primes< 60
53 - 59
(pi)r²
The last 2 digits are a multiple of 4. (i.e 144 .... 44 is a multiple of 4 - so 144 must also be a multiple of 4.)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

28. Ø divided by 7
Smallest positive integer
Ø
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
4:5

29. The Perimeter of a Square
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
P=4s (s=side)
A²+b²=c²
90

30. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
zero
90°
$11 -448
Lies opposite the greater angle

31. What is the ratio of the sides of a 30-60-90 triangle?
Yes - like radicals can be added/subtracted.
P= 2L + 2w
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
1:sqrt3:2

32. 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?
$3 -500 in the 9% and $2 -500 in the 7%.
Two angles whose sum is 90.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
x²-2xy+y²

33. What are the integers?
An infinite set.
12.5%
F(x) - c
All numbers multiples of 1.

34. A number is divisible by 6 if...
Even
The longest arc between points A and B on a circle'S diameter.
Its divisible by 2 and by 3.
4.25 - 6 - 22

35. 2 is the only
(a + b)^2
Right
Even prime number
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

36. Can you simplify sqrt72?
F(x + c)
Can be negative - zero - or positive
2^9 / 2 = 256
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

37. What is the 'domain' of a function?
28. n = 8 - k = 2. n! / k!(n-k)!
71 - 73 - 79
The set of input values for a function.
2(pi)r

38. 30< all primes<40
(x+y)(x+y)
31 - 37
The second graph is less steep.
18

39. What is the slope of a vertical line?

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40. 1n
True
Do not have slopes!
V=Lwh
1

41. How to recognize a # as a multiple of 9
The sum of the digits is a multiple of 9.
An expression with just one term (-6x - 2a^2)
The objects within a set.
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

42. How do you solve proportions? a/b=c/d
Reciprocal
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
x²-2xy+y²
3

43. What are the irrational numbers?

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44. What is a central angle?
4725
A central angle is an angle formed by 2 radii.
D=rt so r= d/t and t=d/r
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

45. What does scientific notation mean?
F(x-c)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Sum of digits is a multiple of 3 and the last digit is even.
Pi(diameter)

46. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
Two equal sides and two equal angles.
8
The interesection of A and B.
A-b is negative

47. A quadrilateral where two diagonals bisect each other
The point of intersection of the systems.
Move the decimal point to the right x places
Parallelogram
Ab=k (k is a constant)

48. Any Horizontal line slope
zero
F(x) + c
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
1.7

49. 30 60 90
The sum of the digits is a multiple of 9.
F(x) - c
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
x - x(SR3) - 2x

50. x^2 = 9. What is the value of x?
x²-y²
3 - -3
67 - 71 - 73
x - x(SR3) - 2x