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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.
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 is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
3/2 - 5/3
x^(4+7) = x^11
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Cd

2. What are the smallest three prime numbers greater than 65?
7 / 1000
The sum of the digits is a multiple of 9.
67 - 71 - 73
An is positive

3. 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)]?
180 degrees
M= (Y1-Y2)/(X1-X2)
True
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.

4. The sum of the measures of the n angles in a polygon with n sides
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
y2-y1/x2-x1
(n-2) x 180
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

5. 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)?
4725
4:5
V=l×w×h
y = (x + 5)/2

6. What are 'Supplementary angles?'
The longest arc between points A and B on a circle'S diameter.
Ab-ac
F(x + c)
Two angles whose sum is 180.

7. The Perimeter of a rectangle
The union of A and B.
441000 = 1 10 10 10 21 * 21
P=2(l+w)
Add them. i.e. (5^7) * (5^3) = 5^10

8. If a is inversely porportional to b - what does it equal?
Ab=k (k is a constant)
5
y = 2x^2 - 3
72

9. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
1.0843 X 10^11
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
52
4725

10. a^2 - b^2 =
Do not have slopes!
(a - b)(a + b)
NOT A PRIME
Arc length = (n/360) x pi(2r) where n is the number of degrees.

11. Consecutive integers
9 & 6/7
Relationship cannot be determined (what if x is negative?)
180°
x - x+1 - x+2

12. What are complementary angles?
Two angles whose sum is 90.
x²-y²
1
F(x + c)

13. If E is certain
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Two angles whose sum is 180.
P(E) = 1/1 = 1
4a^2(b)

14. 1 is a divisor of
Move the decimal point to the right x places
Ø Ø=Ø
Every number
Lies opposite the greater angle

15. 5/8 in percent?
90
x^(4+7) = x^11
62.5%
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

16. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
The sum of digits is divisible by 9.
An infinite set.
1
(x+y)(x-y)

17. What is the ratio of the sides of an isosceles right triangle?
x - x(SR3) - 2x
23 - 29
Even prime number
1:1:sqrt2

18. What is the side length of an equilateral triangle with altitude 6?
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...
Positive or Negative
Ø Ø=Ø
Move the decimal point to the right x places

19. What percent of 40 is 22?
55%
2(pi)r
A subset.
72

20. What are the rational numbers?
The union of A and B.
A²+b²=c²
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

21. Volume of a rectangular box
V=Lwh
The sum of the digits is a multiple of 9.
360°
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

22. a>b then a - b is positive or negative?
(x+y)(x+y)
A 30-60-90 triangle.
Pi is the ratio of a circle'S circumference to its diameter.
A-b is positive

23. formula for area of a triangle
(distance)/(rate) d/r
13
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
A=½bh

24. 30 60 90
(rate)(time) d=rt
A-b is negative
5 - 12 - 13
2(pi)r

25. Write 10 -843 X 10^7 in scientific notation
0
1.0843 X 10^11
M= (Y1-Y2)/(X1-X2)
P(E) = number of favorable outcomes/total number of possible outcomes

26. Can you simplify sqrt72?
An infinite set.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Relationship cannot be determined (what if x is negative?)
71 - 73 - 79

27. A prime number (or a prime)
An arc is a portion of a circumference of a circle.
4a^2(b)
A natural number greater than 1 that has no positive divisors other than 1 and itself
P= 2L + 2w

28. Important properties of a 30-60-90 triangle?
A central angle is an angle formed by 2 radii.
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
C = (pi)d
1

29. A number is divisible by 4 is...
1.7
$3 -500 in the 9% and $2 -500 in the 7%.
Its last two digits are divisible by 4.
A= (1/2) b*h

30. A quadrilateral where two diagonals bisect each other
The sum of digits is divisible by 9.
Parallelogram
A natural number greater than 1 that has no positive divisors other than 1 and itself
An arc is a portion of a circumference of a circle.

31. binomial product of (x-y)²
(x+y)(x-y)
A natural number greater than 1 that has no positive divisors other than 1 and itself
180°
4a^2(b)

32. What is the area of a regular hexagon with side 6?
53 - 59
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
(a + b)^2
$11 -448

33. Circumference of a circle
87.5%
D=rt so r= d/t and t=d/r
2(pi)r
P=4s (s=side)

34. binomial product of (x+y)(x-y)
A subset.
y = 2x^2 - 3
Positive
x²-y²

35. In a rectangle - all angles are
Right
y = 2x^2 - 3
87.5%
180°

36. 50 < all primes< 60
53 - 59
The sum of its digits is divisible by 3.
3
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

37. The ratio of the areas of two similar polygons is ...
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...
360/n
... the square of the ratios of the corresponding sides.
The empty set - denoted by a circle with a diagonal through it.

38. Pythagorean theorem
A²+b²=c²
B?b?b (where b is used as a factor n times)
360°
4.25 - 6 - 22

39. -3²
11 - 13 - 17 - 19
9
55%
x - x(SR3) - 2x

40. What is the empty set?
P=2(l+w)
True
An angle which is supplementary to an interior angle.
A set with no members - denoted by a circle with a diagonal through it.

41. What is a minor arc?

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42. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
Add them. i.e. (5^7) * (5^3) = 5^10
71 - 73 - 79
zero
1

43. 4.809 X 10^7 =
.0004809 X 10^11
An arc is a portion of a circumference of a circle.
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)
9 & 6/7

44. What is a set with no members called?
2²
Even prime number
(length)(width)(height)
The empty set - denoted by a circle with a diagonal through it.

45. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
A= (1/2) b*h
3
12! / 5!7! = 792

46. 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
180
67 - 71 - 73
Positive
1

47. Area of a circle
A=pi*(r^2)
1
90°
M= (Y1-Y2)/(X1-X2)

48. Perfect Squares 1-15
EVEN
2sqrt6
$11 -448
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

49. What is an isoceles triangle?
X
Two equal sides and two equal angles.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
3

50. When does a function automatically have a restricted domain (2)?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
M
180
No - only like radicals can be added.

Can you answer 50 questions in 15 minutes?

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GRE Math: All In One

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