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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. Factor x^2 - xy + x.
A<-b
41 - 43 - 47
x(x - y + 1)
A = pi(r^2)

2. Find distance when given time and rate
D=rt so r= d/t and t=d/r
A = pi(r^2)
41 - 43 - 47
9 & 6/7

3. 3/8 in percent?
A set with no members - denoted by a circle with a diagonal through it.
37.5%
$11 -448
5

4. To decrease a number by x%
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
55%
Undefined
Two (Ø×2=Ø)

5. What is a percent?
A percent is a fraction whose denominator is 100.
0
180°
x²+2xy+y²

6. The important properties of a 45-45-90 triangle?
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.
9
72
6

7. Ø Is neither
Infinite.
2²
y = (x + 5)/2
Positive or Negative

8. Ø is
A multiple of every integer
Ab-ac
The set of input values for a function.
61 - 67

9. What is a minor arc?

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10. Slope given 2 points
True
Positive
M= (Y1-Y2)/(X1-X2)
11 - 13 - 17 - 19

11. Dividing by a number is the same as multiplying it by its
Move the decimal point to the right x places
Ø
Reciprocal
A-b is positive

12. binomial product of (x+y)²
A = length x width
52
The longest arc between points A and B on a circle'S diameter.
(x+y)(x+y)

13. 1 is an
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
ODD number
Sector area = (n/360) X (pi)r^2
The direction of the inequality is reversed.

14. binomial product of (x-y)²
(x+y)(x-y)
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.)
9 & 6/7
Sector area = (n/360) X (pi)r^2

15. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
A reflection about the origin.
12! / 5!7! = 792
Two (Ø×2=Ø)

16. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
A-b is positive
Two angles whose sum is 180.
N! / (n-k)!
Two equal sides and two equal angles.

17. Rate
D/t (distance)/(time)
2²
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
9

18. A number is divisible by 4 is...
M
Its last two digits are divisible by 4.
The shortest arc between points A and B on a circle'S diameter.
An is positive

19. -3³
12! / 5!7! = 792
27
Infinite.
61 - 67

20. The consecutive angles in a parallelogram equal
A= (1/2) b*h
(x+y)(x-y)
2
180°

21. 5x^2 - 35x -55 = 0
3
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Positive or Negative
31 - 37

22. What is the set of elements found in both A and B?
Be Zero!
Pi(diameter)
Pi is the ratio of a circle'S circumference to its diameter.
The interesection of A and B.

23. 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?
y2-y1/x2-x1
288 (8 9 4)
V=l×w×h
10! / (10-3)! = 720

24. Define a 'monomial'
72
Its last two digits are divisible by 4.
An expression with just one term (-6x - 2a^2)
1 & 37/132

25. What is the maximum value for the function g(x) = (-2x^2) -1?
A+c<b+c
A grouping of the members within a set based on a shared characteristic.
1
6

26. the measure of a straight angle
3/2 - 5/3
(a - b)^2
3 - -3
180°

27. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
72
Sum of digits is a multiple of 3 and the last digit is even.
27
A reflection about the axis.

28. What is the intersection of A and B?
180°
1/2 times 7/3
The set of elements found in both A and B.
3 - -3

29. The only number that is equal to its opposite
Ø Ø=Ø
Its last two digits are divisible by 4.
37.5%
Null

30. (12sqrt15) / (2sqrt5) =
An is positive
10! / (10-3)! = 720
Ø
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

31. Formula to find a circle'S circumference from its diameter?
Ø=P(E)=1
13pi / 2
C = (pi)d
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

32. Vertical lines
Do not have slopes!
1
An angle which is supplementary to an interior angle.
4.25 - 6 - 22

33. 7 divided by Ø
$3 -500 in the 9% and $2 -500 in the 7%.
A natural number greater than 1 that has no positive divisors other than 1 and itself
Straight Angle
Null

34. 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.
The point of intersection of the systems.
EVEN
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

35. If a lamp increases from $80 to $100 - what is the percent increase?
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
Subtract them. i.e (5^7)/(5^3)= 5^4
Ø
The shortest arc between points A and B on a circle'S diameter.

36. Formula for the area of a circle?
Indeterminable.
x²+2xy+y²
A = pi(r^2)
Cd

37. The sum of all angles around a point
Two (Ø×2=Ø)
an angle that is less than 90°
26
360°

38. What is a chord of a circle?
A= (1/2) b*h
x²-y²
A chord is a line segment joining two points on a circle.
... the square of the ratios of the corresponding sides.

39. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
A set with no members - denoted by a circle with a diagonal through it.
$11 -448
x(x - y + 1)

40. 40 < all primes<50
41 - 43 - 47
71 - 73 - 79
V=side³
Ab+ac

41. Ø Is
(p + q)/5
Sum of digits is a multiple of 3 and the last digit is even.
EVEN
1:1:sqrt2

42. (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)
Add them. i.e. (5^7) * (5^3) = 5^10
10! / 3!(10-3)! = 120
x^(2(4)) =x^8 = (x^4)^2

43. A number is divisible by 9 if...
The sum of digits is divisible by 9.
D=rt so r= d/t and t=d/r
Null
Move the decimal point to the right x places

44. Solve the quadratic equation ax^2 + bx + c= 0
P=4s (s=side)
V=side³
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
83.333%

45. Define an 'expression'.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Ø
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)
Even

46. A quadrilateral where two diagonals bisect each other
Parallelogram
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
A reflection about the axis.
Diameter(Pi)

47. a^2 + 2ab + b^2
Two angles whose sum is 90.
(a + b)^2
Edge³
Ab-ac

48. Which is greater? 200x^295 or 10x^294?
90
3x - 4x - 5x
Relationship cannot be determined (what if x is negative?)
11 - 13 - 17 - 19

49. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
20.5
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.
2^9 / 2 = 256
An isosceles right triangle.

50. If a is inversely porportional to b - what does it equal?
Ab=k (k is a constant)
x - x+1 - x+2
Negative
V=l×w×h