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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. Area of a circle
Even prime number
A=pi*(r^2)
2.592 kg
Every number

2. Simplify (a^2 + b)^2 - (a^2 - b)^2
180°
(x+y)(x+y)
V=Lwh
4a^2(b)

3. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
x²-2xy+y²
Pi(diameter)
x^(2(4)) =x^8 = (x^4)^2

4. If y is directly proportional to x - what does it equal?
M= (Y1-Y2)/(X1-X2)
y/x is a constant
V=Lwh
72

5. What is the side length of an equilateral triangle with altitude 6?
Ø=P(E)=1
Undefined
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...
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

6. Area of a rectangle
Two angles whose sum is 90.
A chord is a line segment joining two points on a circle.
A = length x width
The sum of its digits is divisible by 3.

7. Rate
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
D/t (distance)/(time)
The interesection of A and B.

8. (x^2)^4
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)
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^(2(4)) =x^8 = (x^4)^2
The set of input values for a function.

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
180
37.5%
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
P(E) = number of favorable outcomes/total number of possible outcomes

10. 1/2 divided by 3/7 is the same as
Diameter(Pi)
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.)
1/2 times 7/3
A reflection about the origin.

11. 1 is a divisor of
Every number
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...
A = pi(r^2)
27

12. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
D=rt so r= d/t and t=d/r
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
52

13. a^2 - 2ab + b^2
Move the decimal point to the right x places
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
(a - b)^2
Its divisible by 2 and by 3.

14. What is the graph of f(x) shifted downward c units or spaces?
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
The overlapping sections.
The union of A and B.
F(x) - c

15. 1/Ø=null If a>b then
500
A<-b
A grouping of the members within a set based on a shared characteristic.
27

16. Any Horizontal line slope
4.25 - 6 - 22
Infinite.
zero
A+c<b+c

17. x^6 / x^3
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
C = (pi)d
ODD number
x^(6-3) = x^3

18. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
180
x - x(SR3) - 2x
1/a^6
2.592 kg

19. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Move the decimal point to the right x places
The interesection of A and B.

20. If the two sides of a triangle are unequal then the longer side.................
5 - 12 - 13
Lies opposite the greater angle
1
A = length x width

21. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
angle that is greater than 90° but less than 180°
A+c<b+c
4096
1

22. Circumference of a circle?
Infinite.
Diameter(Pi)
Edge³
2sqrt6

23. Formula for the area of a circle?
10! / 3!(10-3)! = 120
41 - 43 - 47
y/x is a constant
A = pi(r^2)

24. What is a percent?
72
x²-y²
A percent is a fraction whose denominator is 100.
Ab+ac

25. 30 60 90
5 - 12 - 13
20.5
1
V=side³

26. Area of a Parallelogram:
5 - 12 - 13
(p + q)/5
(amount of decrease/original price) x 100%
A=(base)(height)

27. The perimeter of a square is 48 inches. The length of its diagonal is:
12sqrt2
ODD number
A natural number greater than 1 that has no positive divisors other than 1 and itself
Null

28. What is a major arc?

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29. P and r are factors of 100. What is greater - pr or 100?
20.5
Indeterminable.
The empty set - denoted by a circle with a diagonal through it.
3 - 4 - 5

30. Define an 'expression'.
C = 2(pi)r
3 - -3
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)
An arc is a portion of a circumference of a circle.

31. Evaluate (4^3)^2
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
x^(4+7) = x^11
4096
83.333%

32. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
Ab=k (k is a constant)
x^(2(4)) =x^8 = (x^4)^2
1
3

33. In any polygon - all external angles equal up to
F(x) + c
The union of A and B.
360°
A 30-60-90 triangle.

34. formula for the volume of a cube
A=(base)(height)
9 : 25
13
V=side³

35. Ø is
Cd
x²+2xy+y²
A subset.
A multiple of every integer

36. 3 is the opposite of
71 - 73 - 79
67 - 71 - 73
3
12.5%

37. 30 60 90
3 - 4 - 5
2(pi)r
The steeper the slope.
1.7

38. (12sqrt15) / (2sqrt5) =
1
9 : 25
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
10

39. Vertical lines
26
Two angles whose sum is 90.
Every number
Do not have slopes!

40. Legs 5 - 12. Hypotenuse?
Parallelogram
13
V=side³
Arc length = (n/360) x pi(2r) where n is the number of degrees.

41. When does a function automatically have a restricted domain (2)?
(a - b)^2
No - only like radicals can be added.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
10! / (10-3)! = 720

42. If a is negative and n is even then an is (positive or negative?)
70
An is positive
Be Zero!
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

43. -3³
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...
1:1:sqrt2
27
x²+2xy+y²

44. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
12.5%
1.0843 X 10^11
2(pi)r
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

45. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Straight Angle
No - only like radicals can be added.
Cd
1

46. How many sides does a hexagon have?
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)
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)
2 & 3/7
6

47. What is the 'Solution' for a system of linear equations?
y2-y1/x2-x1
Arc length = (n/360) x pi(2r) where n is the number of degrees.
x - x+1 - x+2
The point of intersection of the systems.

48. The product of odd number of negative numbers
x²+2xy+y²
0
Negative
y/x is a constant

49. x^2 = 9. What is the value of x?
Distance=rate×time or d=rt
3 - -3
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Yes - like radicals can be added/subtracted.

50. formula for area of a triangle
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
angle that is greater than 90° but less than 180°
A<-b
A=½bh