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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 number between 70 & 75 - inclusive - has the greatest number of factors?
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)
20.5
28
72

2. X is the opposite of
X
12! / 5!7! = 792
Reciprocal
A=½bh

3. Important properties of a 30-60-90 triangle?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
The triangle is a right triangle. The hypotenuse is twice the length of the shorter leg. The ratio of the length of the three sides is x:xv3:2x
Yes - like radicals can be added/subtracted.
The second graph is less steep.

4. 7/8 in percent?
A tangent is a line that only touches one point on the circumference of a circle.
87.5%
13
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

5. bn
B?b?b (where b is used as a factor n times)
angle that is greater than 90° but less than 180°
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Edge³

6. 25^(1/2) or sqrt. 25 =
Ø Ø=Ø
13pi / 2
Lies opposite the greater angle
5 OR -5

7. What is the 'domain' of a function?
V=Lwh
2
71 - 73 - 79
The set of input values for a function.

8. (x-y)(x+y)
x²-y²
An arc is a portion of a circumference of a circle.
ODD number
2

9. Slope of any line that goes down as you move from left to right is
3 - -3
Negative
1/a^6
1

10. A number is divisible by 4 is...
75:11
360°
Its last two digits are divisible by 4.
x(x - y + 1)

11. -3³
(b + c)
Do not have slopes!
V=side³
27

12. Ø Is
EVEN
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)
(a + b)^2
(2x7)³

13. Define a 'monomial'
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
288 (8 9 4)
An expression with just one term (-6x - 2a^2)

14. 50 < all primes< 60
An expression with just one term (-6x - 2a^2)
3x - 4x - 5x
6 : 1 : 2
53 - 59

15. 6w^2 - w - 15 = 0
3/2 - 5/3
The shortest arc between points A and B on a circle'S diameter.
Undefined - because we can'T divide by 0.
360°

16. If y is directly proportional to x - what does it equal?
72
y/x is a constant
V=Lwh
1

17. Perimeter of a rectangle
= (actual decrease/Original amount) x 100%
P= 2L + 2w
F(x-c)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

18. a>b then a - b is positive or negative?
Distance=rate×time or d=rt
A-b is positive
... the square of the ratios of the corresponding sides.
(n-2) x 180

19. Can you add sqrt 3 and sqrt 5?
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)
No - only like radicals can be added.
Subtract them. i.e (5^7)/(5^3)= 5^4
A²+b²=c²

20. A quadrilateral where two diagonals bisect each other
130pi
The sum of digits is divisible by 9.
Parallelogram
2

21. What is the name for a grouping of the members within a set based on a shared characteristic?
True
Sector area = (n/360) X (pi)r^2
A subset.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

22. Distance
(rate)(time) d=rt
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
An angle which is supplementary to an interior angle.
A-b is positive

23. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
A percent is a fraction whose denominator is 100.
Infinite.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
4:5

24. Circumference of a circle?
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)
The set of input values for a function.
9 & 6/7
Diameter(Pi)

25. Find the surface area of a cylinder with radius 3 and height 12.
P(E) = number of favorable outcomes/total number of possible outcomes
90pi
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
18

26. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
(n-2) x 180
The overlapping sections.
2.592 kg
The longest arc between points A and B on a circle'S diameter.

27. Ø divided by 7
Ø
Ø=P(E)=1
x²-2xy+y²
8

28. The Perimeter of a rectangle
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
P=2(l+w)
53 - 59
Two angles whose sum is 180.

29. What is the order of operations?
Negative
x^(4+7) = x^11
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
F(x) + c

30. First 10 prime #s
y = 2x^2 - 3
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
x²-y²
1/a^6

31. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
Ø
Lies opposite the greater angle
28
2sqrt6

32. What is a major arc?

33. The Perimeter of a Square
An angle which is supplementary to an interior angle.
P=4s (s=side)
6 : 1 : 2
$11 -448

34. To decrease a number by x%
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
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.
(a - b)^2
53 - 59

35. 8.84 / 5.2
1.7
Pi is the ratio of a circle'S circumference to its diameter.
The steeper the slope.
x²-y²

36. 30< all primes<40
31 - 37
130pi
1 & 37/132
Yes - like radicals can be added/subtracted.

37. The reciprocal of any non-zero number is
1/x
Negative
1
27^(-4)

38. Consecutive integers
3x - 4x - 5x
x - x+1 - x+2
Sum of digits is a multiple of 3 and the last digit is even.
67 - 71 - 73

39. What is an exterior angle?
An angle which is supplementary to an interior angle.
(x+y)(x-y)
M
A multiple of every integer

40. Formula for the area of a circle?
A = pi(r^2)
8
72
$3 -500 in the 9% and $2 -500 in the 7%.

41. x^4 + x^7 =
Ab+ac
x^(4+7) = x^11
(a + b)^2
Factors are few - multiples are many.

42. Area of a circle
.0004809 X 10^11
(pi)r²
Pi(diameter)
2(pi)r

43. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
The set of elements found in both A and B.
The set of input values for a function.
52
Parallelogram

44. The sum of all angles around a point
72
(amount of decrease/original price) x 100%
360°
An isosceles right triangle.

45. What are complementary angles?
The set of elements found in both A and B.
Two angles whose sum is 90.
(rate)(time) d=rt
D/t (distance)/(time)

46. Probability of Event all cases
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The direction of the inequality is reversed.
Ø=P(E)=1
The sum of the digits is a multiple of 9.

47. What is the graph of f(x) shifted left c units or spaces?
1
F(x + c)
26
Infinite.

48. factored binomial product of (x-y)²
x²-2xy+y²
2
3 - -3
1 & 37/132

49. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
3
The set of output values for a function.
The steeper the slope.
Positive

50. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
EVEN
12! / 5!7! = 792
V=l×w×h
90pi