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GRE Math: All In One

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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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. Convert 0.7% to a fraction.
A=(base)(height)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
7 / 1000
The empty set - denoted by a circle with a diagonal through it.

2. 1 is a divisor of
The second graph is less steep.
27
Every number
V=Lwh

3. The objects in a set are called two names:
Members or elements
Diameter(Pi)
Positive
72

4. Area of a Parallelogram:
y/x is a constant
6 : 1 : 2
180°
A=(base)(height)

5. Find the surface area of a cylinder with radius 3 and height 12.
90pi
Pi is the ratio of a circle'S circumference to its diameter.
1:1:sqrt2
Ab-ac

6. b¹
1
1/2 times 7/3
180
180°

7. The only number that is equal to its opposite
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Ø Ø=Ø
70

8. Define a 'monomial'
67 - 71 - 73
Even prime number
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
An expression with just one term (-6x - 2a^2)

9. How many multiples does a given number have?
Infinite.
y = 2x^2 - 3
90
x^(4+7) = x^11

10. (x^2)^4
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.
4:5
x^(2(4)) =x^8 = (x^4)^2
1

11. Acute Angle
an angle that is less than 90°
The empty set - denoted by a circle with a diagonal through it.
C=2 x pi x r OR pi x D
Two angles whose sum is 180.

12. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
5 - 12 - 13
Positive
A reflection about the axis.

13. P and r are factors of 100. What is greater - pr or 100?
2(pi)r
Undefined - because we can'T divide by 0.
Triangles with same measure and same side lengths.
Indeterminable.

14. 25^(1/2) or sqrt. 25 =
Positive
5 OR -5
The second graph is less steep.
(pi)r²

15. a^2 + 2ab + b^2
(a + b)^2
An angle which is supplementary to an interior angle.
1/a^6
5 - 12 - 13

16. When does a function automatically have a restricted domain (2)?
4096
(b + c)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The union of A and B.

17. Evaluate 3& 2/7 / 1/3
10! / 3!(10-3)! = 120
y/x is a constant
1
9 & 6/7

18. Area of a triangle
A= (1/2) b*h
3
The empty set - denoted by a circle with a diagonal through it.
A subset.

19. For any number x
(b + c)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Can be negative - zero - or positive
P= 2L + 2w

20. 20<all primes<30
Ø
3x - 4x - 5x
23 - 29
11 - 13 - 17 - 19

21. Circumference of a circle?
Diameter(Pi)
(x+y)(x-y)
Pi is the ratio of a circle'S circumference to its diameter.
Every number

22. How to recognize a multiple of 6
A set with no members - denoted by a circle with a diagonal through it.
x - x+1 - x+2
Sum of digits is a multiple of 3 and the last digit is even.
5 OR -5

23. Write 10 -843 X 10^7 in scientific notation
Two equal sides and two equal angles.
360/n
F(x) - c
1.0843 X 10^11

24. In a Regular Polygon - the measure of each exterior angle
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
x²+2xy+y²
x²-y²
360/n

25. 1/8 in percent?
Null
12.5%
360°
F(x-c)

26. Ø is a multiple of
Negative
Two (Ø×2=Ø)
Its divisible by 2 and by 3.
1/x

27. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
4.25 - 6 - 22
An isosceles right triangle.
180
6

28. Can you add sqrt 3 and sqrt 5?
4725
No - only like radicals can be added.
1/x
Ab+ac

29. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
(x+y)(x-y)
2²
Reciprocal
13pi / 2

30. How do you solve proportions? a/b=c/d
2
x²+2xy+y²
31 - 37
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

31. How to recognize a # as a multiple of 9
The sum of the digits is a multiple of 9.
1.7
441000 = 1 10 10 10 21 * 21
A-b is negative

32. 25+2³
A set with no members - denoted by a circle with a diagonal through it.
28
4096
Cd

33. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
4.25 - 6 - 22
A<-b
3
1:1:sqrt2

34. Dividing by a number is the same as multiplying it by its
90pi
Reciprocal
6
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

35. If a<b - then
A+c<b+c
Members or elements
3 - 4 - 5
An is positive

36. 30< all primes<40
N! / (n-k)!
31 - 37
Parallelogram
$3 -500 in the 9% and $2 -500 in the 7%.

37. Legs 5 - 12. Hypotenuse?
4a^2(b)
2 & 3/7
13
x - x(SR3) - 2x

38. (x+y)²
x²+2xy+y²
Ø=P(E)=1
27^(-4)
12sqrt2

39. Define an 'expression'.
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)
Negative
(a + b)^2
The set of output values for a function.

40. Formula to find a circle'S circumference from its diameter?
6 : 1 : 2
C = (pi)d
180°
2sqrt6

41. Which is greater? 64^5 or 16^8
Subtract them. i.e (5^7)/(5^3)= 5^4
$11 -448
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...
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

42. 60 < all primes <70
Diameter(Pi)
61 - 67
5 - 12 - 13
An expression with just one term (-6x - 2a^2)

43. What is the graph of f(x) shifted right c units or spaces?
B?b?b (where b is used as a factor n times)
4:5
75:11
F(x-c)

44. An Angle that'S 180°
The objects within a set.
Straight Angle
$3 -500 in the 9% and $2 -500 in the 7%.
y/x is a constant

45. What are the integers?
P= 2L + 2w
V=side³
Every number
All numbers multiples of 1.

46. What is the maximum value for the function g(x) = (-2x^2) -1?
B?b?b (where b is used as a factor n times)
Triangles with same measure and same side lengths.
1
2sqrt6

47. 30 60 90
9 & 6/7
90
5 - 12 - 13
72

48. Ø is a multiple of
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.)
67 - 71 - 73
D=rt so r= d/t and t=d/r
Every number

49. The ratio of the areas of two similar polygons is ...
Distance=rate×time or d=rt
... the square of the ratios of the corresponding sides.
Undefined
3

50. Factor a^2 + 2ab + b^2
(a + b)^2
Sum of digits is a multiple of 3 and the last digit is even.
5 - 12 - 13
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

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GRE Math: All In One

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