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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. Perfect Squares 1-15
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Its divisible by 2 and by 3.

2. 1 is an
360/n
The set of elements which can be found in either A or B.
ODD number
Triangles with same measure and same side lengths.

3. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
P= 2L + 2w
y = 2x^2 - 3
(x+y)(x-y)

4. The important properties of a 45-45-90 triangle?
360/n
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
288 (8 9 4)
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.

5. Describe the relationship between 3x^2 and 3(x - 1)^2
2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
4.25 - 6 - 22
ODD number

6. If a is positive - an is
Positive
$11 -448
The set of output values for a function.
Cd

7. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
3/2 - 5/3
A-b is negative
A chord is a line segment joining two points on a circle.

8. What is the 'Solution' for a system of linear equations?
(a - b)(a + b)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The point of intersection of the systems.
All numbers multiples of 1.

9. binomial product of (x-y)²
N! / (n-k)!
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
(x+y)(x-y)
5

10. What is the graph of f(x) shifted upward c units or spaces?
67 - 71 - 73
Two angles whose sum is 180.
Ø=P(E)=1
F(x) + c

11. 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)]?
1/x
Its divisible by 2 and by 3.
True
Ø

12. -3³
C=2 x pi x r OR pi x D
Parallelogram
27
Even

13. A prime number (or a prime)
A natural number greater than 1 that has no positive divisors other than 1 and itself
Two (Ø×2=Ø)
The set of output values for a function.
9 & 6/7

14. X is the opposite of
an angle that is less than 90°
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
(a - b)^2
X

15. 3/8 in percent?
37.5%
$11 -448
An is positive
Straight Angle

16. The product of odd number of negative numbers
F(x) - c
Negative
True
Two angles whose sum is 90.

17. What is the name of set with a number of elements which cannot be counted?
All numbers multiples of 1.
2^9 / 2 = 256
An infinite set.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

18. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2
13
Even
V=side³

19. 7/8 in percent?
10! / (10-3)! = 720
87.5%
2²
y/x is a constant

20. The product of any number x and its reciprocal
1
4096
y/x is a constant
Right

21. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
A = length x width
441000 = 1 10 10 10 21 * 21
x²-y²
4.25 - 6 - 22

22. Legs 6 - 8. Hypotenuse?
5
10
20.5
(a - b)(a + b)

23. Write 10 -843 X 10^7 in scientific notation
27
1.0843 X 10^11
Reciprocal
23 - 29

24. a^0 =
The point of intersection of the systems.
Right
10! / (10-3)! = 720
1

25. How to recognize a # as a multiple of 3
y/x is a constant
zero
Yes - like radicals can be added/subtracted.
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)

26. The percent decrease of a quantity
The set of input values for a function.
= (actual decrease/Original amount) x 100%
16.6666%
7 / 1000

27. If the two sides of a triangle are unequal then the longer side.................
41 - 43 - 47
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Lies opposite the greater angle
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.

28. 7 divided by Ø
x²-y²
Null
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
3/2 - 5/3

29. binomial product of (x+y)(x-y)
x^(4+7) = x^11
(rate)(time) d=rt
x²-y²
Its last two digits are divisible by 4.

30. If Event is impossible
The set of elements which can be found in either A or B.
P(E) = ø
y/x is a constant
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

31. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
1 & 37/132
2(pi)r
Ø=P(E)=1

32. How to determine percent decrease?
(amount of decrease/original price) x 100%
37.5%
180
B?b?b (where b is used as a factor n times)

33. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
55%
2²
A percent is a fraction whose denominator is 100.
2sqrt6

34. Describe the relationship between the graphs of x^2 and (1/2)x^2
16.6666%
Every number
The second graph is less steep.
Negative

35. Can you add sqrt 3 and sqrt 5?
... the square of the ratios of the corresponding sides.
No - only like radicals can be added.
The sum of digits is divisible by 9.
87.5%

36. binomial product of (x+y)²
Right
20.5
F(x) + c
(x+y)(x+y)

37. Vertical lines
Do not have slopes!
A=½bh
An isosceles right triangle.
27^(-4)

38. Factor a^2 + 2ab + b^2
1
(a + b)^2
An angle which is supplementary to an interior angle.
The set of input values for a function.

39. Legs 5 - 12. Hypotenuse?
360°
23 - 29
Add them. i.e. (5^7) * (5^3) = 5^10
13

40. What is the set of elements found in both A and B?
An isosceles right triangle.
53 - 59
180
The interesection of A and B.

41. Evaluate 3& 2/7 / 1/3
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
9 & 6/7
C = (pi)d
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

42. 1/6 in percent?
3 - 4 - 5
x - x+1 - x+2
16.6666%
x²-2xy+y²

43. 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
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.
180
P(E) = 1/1 = 1
6

44. In a rectangle - all angles are
An expression with just one term (-6x - 2a^2)
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
x²-2xy+y²
Right

45. Volume of a cube
A subset.
Edge³
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
The sum of the digits is a multiple of 9.

46. How many multiples does a given number have?
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
(pi)r²
9 & 6/7
Infinite.

47. If a is inversely porportional to b - what does it equal?
Ab=k (k is a constant)
Do not have slopes!
Straight Angle
The second graph is less steep.

48. Evaluate (4^3)^2
4096
Right
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.
Do not have slopes!

49. 30< all primes<40
31 - 37
70
x(x - y + 1)
Ø Ø=Ø

50. What is the name for a grouping of the members within a set based on a shared characteristic?
F(x) + c
A subset.
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.
(b + c)

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GRE Math: All In One

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