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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. What are the smallest three prime numbers greater than 65?
(a - b)^2
71 - 73 - 79
67 - 71 - 73
1/x

2. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
23 - 29
An isosceles right triangle.
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 set of output values for a function.

3. What is the slope of a horizontal line?
0
The longest arc between points A and B on a circle'S diameter.
Every number
V=Lwh

4. What is the ratio of the sides of a 30-60-90 triangle?
(b + c)
A subset.
1:sqrt3:2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

5. How do you solve proportions? a/b=c/d
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
9 & 6/7
62.5%
Even

6. The reciprocal of any non-zero #x is
P= 2L + 2w
Ø
20.5
1/x

7. If E is certain
Subtract them. i.e (5^7)/(5^3)= 5^4
0
P(E) = 1/1 = 1
360°

8. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
28. n = 8 - k = 2. n! / k!(n-k)!
Ø
V=side³
x^(2(4)) =x^8 = (x^4)^2

9. Ø²
5 - 12 - 13
An expression with just one term (-6x - 2a^2)
Ø
F(x + c)

10. In a Regular Polygon - the measure of each exterior angle
1 - P(E)
A = pi(r^2)
360/n
y2-y1/x2-x1

11. 10^6 has how many zeroes?
P(E) = ø
Move the decimal point to the right x places
6
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)

12. 30< all primes<40
23 - 29
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
Reciprocal
31 - 37

13. The objects in a set are called two names:
Members or elements
Cd
Negative
A tangent is a line that only touches one point on the circumference of a circle.

14. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
(pi)r²
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.
Sum of digits is a multiple of 3 and the last digit is even.

15. If an inequality is multiplied or divided by a negative number....
360/n
5 OR -5
The direction of the inequality is reversed.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

16. a(b-c)
1/x
D=rt so r= d/t and t=d/r
A= (1/2) b*h
Ab-ac

17. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
The sum of its digits is divisible by 3.
y = (x + 5)/2
A-b is negative
C = 2(pi)r

18. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
87.5%
1
The objects within a set.

19. 3/8 in percent?
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
F(x) - c
27^(-4)
37.5%

20. the slope of a line in y=mx+b
M
2^9 / 2 = 256
The set of elements found in both A and B.
The two xes after factoring.

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)]
Indeterminable.
The point of intersection of the systems.
The interesection of A and B.
0

22. What is an arc of a circle?
16.6666%
23 - 29
20.5
An arc is a portion of a circumference of a circle.

23. 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)]?
True
y = 2x^2 - 3
A reflection about the origin.
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)

24. factored binomial product of (x+y)²
5 - 12 - 13
x²+2xy+y²
4.25 - 6 - 22
18

25. The product of odd number of negative numbers
F(x-c)
An angle which is supplementary to an interior angle.
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Negative

26. formula for volume of a rectangular solid
0
An is positive
V=l×w×h
7 / 1000

27. A number is divisible by 6 if...
A= (1/2) b*h
Its divisible by 2 and by 3.
... the square of the ratios of the corresponding sides.
B?b?b (where b is used as a factor n times)

28. Formula to find a circle'S circumference from its radius?
An expression with just one term (-6x - 2a^2)
C = 2(pi)r
The sum of the digits is a multiple of 9.
An isosceles right triangle.

29. Which is greater? 27^(-4) or 9^(-8)
The sum of the digits is a multiple of 9.
27^(-4)
83.333%
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

30. 7/8 in percent?
87.5%
= (actual decrease/Original amount) x 100%
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
No - only like radicals can be added.

31. Area of a circle
Move the decimal point to the right x places
28
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
(pi)r²

32. Simplify the expression [(b^2 - c^2) / (b - c)]
C=2 x pi x r OR pi x D
(b + c)
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...
The set of output values for a function.

33. What is a minor arc?

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34. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
Negative
A 30-60-90 triangle.
x - x(SR3) - 2x
The set of elements which can be found in either A or B.

35. What is the 'union' of A and B?
The set of elements which can be found in either A or B.
Two equal sides and two equal angles.
3 - -3
Sum of digits is a multiple of 3 and the last digit is even.

36. If the two sides of a triangle are unequal then the longer side.................
A 30-60-90 triangle.
Lies opposite the greater angle
Positive
The set of output values for a function.

37. What are 'Supplementary angles?'
20.5
2sqrt6
A set with no members - denoted by a circle with a diagonal through it.
Two angles whose sum is 180.

38. 1/2 divided by 3/7 is the same as
(length)(width)(height)
1/2 times 7/3
Ab=k (k is a constant)
Factors are few - multiples are many.

39. What does scientific notation mean?
Ø
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
True
Smallest positive integer

40. Obtuse Angle
Yes - like radicals can be added/subtracted.
Two angles whose sum is 180.
angle that is greater than 90° but less than 180°
31 - 37

41. Ø divided by 7
12.5%
(a - b)(a + b)
1
Ø

42. What are the real numbers?
y/x is a constant
Triangles with same measure and same side lengths.
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)
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...

43. Whats the difference between factors and multiples?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Factors are few - multiples are many.
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)
Positive

44. Write 10 -843 X 10^7 in scientific notation
72
1.0843 X 10^11
The union of A and B.
27

45. If a lamp increases from $80 to $100 - what is the percent increase?
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)
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
67 - 71 - 73
A reflection about the axis.

46. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
V=side³
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
130pi
Ab+ac

47. formula for the volume of a cube
P(E) = 1/1 = 1
Ø
V=side³
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

48. binomial product of (x+y)²
1
Move the decimal point to the right x places
x²+2xy+y²
(x+y)(x+y)

49. Define an 'expression'.
The two xes after factoring.
F(x-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)
Ab-ac

50. To increase a number by x%
90pi
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Undefined - because we can'T divide by 0.