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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. 1 is a divisor of
180
A multiple of every integer
Every number
2

2. Evaluate 3& 2/7 / 1/3
180°
9 & 6/7
An angle which is supplementary to an interior angle.
x^(6-3) = x^3

3. In any polygon - all external angles equal up to
360°
an angle that is less than 90°
No - only like radicals can be added.
P(E) = 1/1 = 1

4. What is a percent?
A percent is a fraction whose denominator is 100.
90°
(a + b)^2
A=(base)(height)

5. formula for volume of a rectangular solid
B?b?b (where b is used as a factor n times)
V=l×w×h
180
x(x - y + 1)

6. x^4 + x^7 =
x^(4+7) = x^11
Members or elements
18
0

7. What is the graph of f(x) shifted right c units or spaces?
71 - 73 - 79
52
6 : 1 : 2
F(x-c)

8. If the two sides of a triangle are unequal then the longer side.................
Lies opposite the greater angle
500
90
... the square of the ratios of the corresponding sides.

9. a^2 + 2ab + b^2
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
1
A=(base)(height)
(a + b)^2

10. What are the irrational numbers?

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11. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
N! / (k!)(n-k)!
A reflection about the origin.
X
An infinite set.

12. Perimeter of a rectangle
C = (pi)d
Pi(diameter)
B?b?b (where b is used as a factor n times)
P= 2L + 2w

13. Product of any number and Ø is
True
Parallelogram
23 - 29
Ø

14. (2²)³
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)
(2x7)³
26
(a - b)(a + b)

15. What are the smallest three prime numbers greater than 65?
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Factors are few - multiples are many.
130pi
67 - 71 - 73

16. 30 60 90
3x - 4x - 5x
61 - 67
an angle that is less than 90°
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

17. 30 60 90
70
x²-2xy+y²
1/2 times 7/3
x - x(SR3) - 2x

18. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
The direction of the inequality is reversed.
1 & 37/132
A set with a number of elements which can be counted.

19. 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 percent is a fraction whose denominator is 100.
Diameter(Pi)
x²-y²
N! / (n-k)!

20. binomial product of (x-y)²
x²+2xy+y²
V=l×w×h
(x+y)(x-y)
360/n

21. 1n
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
1.7
1
6 : 1 : 2

22. 1/2 divided by 3/7 is the same as
360/n
F(x + c)
1/2 times 7/3
90pi

23. First 10 prime #s
Smallest positive integer
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
9 & 6/7
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

24. Time
The sum of digits is divisible by 9.
F(x + c)
(distance)/(rate) d/r
Ab=k (k is a constant)

25. If a lamp increases from $80 to $100 - what is the percent increase?
16.6666%
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
3

26. 50 < all primes< 60
53 - 59
$11 -448
1:1:sqrt2
M

27. binomial product of (x+y)(x-y)
Ø=P(E)=1
A set with no members - denoted by a circle with a diagonal through it.
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...
x²-y²

28. What is a minor arc?

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29. What are 'Supplementary angles?'
Ø Ø=Ø
Two angles whose sum is 180.
(pi)r²
0

30. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
X
13pi / 2
The point of intersection of the systems.

31. What is the order of operations?
Sector area = (n/360) X (pi)r^2
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
A=½bh
x - x+1 - x+2

32. a(b+c)
Ab+ac
1
9 : 25
Diameter(Pi)

33. How to recognize a multiple of 6
1
Sum of digits is a multiple of 3 and the last digit is even.
Smallest positive integer
Ø

34. What number between 70 & 75 - inclusive - has the greatest number of factors?
90
ODD number
72
(n-2) x 180

35. the measure of a straight angle
52
Even prime number
The sum of the digits is a multiple of 9.
180°

36. In a rectangle - all angles are
F(x) + c
Even
Right
The overlapping sections.

37. 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)]?
Every number
True
A-b is positive
(x+y)(x-y)

38. What is an arc of a circle?
Pi is the ratio of a circle'S circumference to its diameter.
An arc is a portion of a circumference of a circle.
The steeper the slope.
1

39. Slope
V=l×w×h
y2-y1/x2-x1
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.
An is positive

40. What is a tangent?
P=4s (s=side)
A tangent is a line that only touches one point on the circumference of a circle.
48
Two angles whose sum is 180.

41. Acute Angle
C = 2(pi)r
an angle that is less than 90°
B?b?b (where b is used as a factor n times)
1

42. Can you subtract 3sqrt4 from sqrt4?
The two xes after factoring.
y = (x + 5)/2
Two angles whose sum is 180.
Yes - like radicals can be added/subtracted.

43. How to recognize a # as a multiple of 9
Smallest positive integer
Pi(diameter)
The sum of the digits is a multiple of 9.
Straight Angle

44. 10<all primes<20
28
11 - 13 - 17 - 19
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

45. What is the sum of the angles of a triangle?
3
41 - 43 - 47
180 degrees
0

46. The sum of the measures of the n angles in a polygon with n sides
(base*height) / 2
2 & 3/7
(n-2) x 180
Yes - like radicals can be added/subtracted.

47. Reduce: 4.8 : 0.8 : 1.6
P= 2L + 2w
37.5%
Right
6 : 1 : 2

48. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
Undefined
70
A reflection about the axis.
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)

49. What is a set with no members called?
A= (1/2) b*h
27^(-4)
The empty set - denoted by a circle with a diagonal through it.
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)

50. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
10! / 3!(10-3)! = 120
4:5
Ø
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.)

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GRE Math: All In One

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