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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. 7 divided by Ø
2 & 3/7
A=½bh
Infinite.
Null

2. In a rectangle - all angles are
3x - 4x - 5x
Right
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
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

3. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
1/x
A reflection about the axis.
Ø Ø=Ø
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

4. Solve the quadratic equation ax^2 + bx + c= 0
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Sum of digits is a multiple of 3 and the last digit is even.
3
4.25 - 6 - 22

5. 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
67 - 71 - 73
180
A-b is negative
x²+2xy+y²

6. Positive integers that have exactly 2 positive divisors are
Ø
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Even
1

7. Define a 'Term' -
A=pi*(r^2)
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
27^(-4)

8. (x+y)²
x²+2xy+y²
1:1:sqrt2
The sum of the digits it a multiple of 3 and the last two digits is a multiple of 4. (i.e 144: 1+4+4=9 which is a multiple of 3 - and 44 is a multiple of 4 - so 144 is a multiple of 12.)
5 OR -5

9. Volume of a cube
130pi
Edge³
3 - 4 - 5
x - x+1 - x+2

10. If a lamp decreases to $80 - from $100 - what is the decrease in price?
The point of intersection of the systems.
(a - b)(a + b)
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
5

11. Whats the difference between factors and multiples?
Two angles whose sum is 180.
X
Factors are few - multiples are many.
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...

12. The percent decrease of a quantity
.0004809 X 10^11
= (actual decrease/Original amount) x 100%
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The sum of digits is divisible by 9.

13. Formula for the area of a circle?
71 - 73 - 79
Ø
A = pi(r^2)
P=4s (s=side)

14. The reciprocal of any non-zero number is
True
1/x
x²-y²
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

15. formula for the volume of a cube
2^9 / 2 = 256
A subset.
A reflection about the axis.
V=side³

16. (a^-1)/a^5
zero
(p + q)/5
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
1/a^6

17. 25+2³
28
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
360°
20.5

18. How many 3-digit positive integers are even and do not contain the digit 4?
y = 2x^2 - 3
Move the decimal point to the right x places
288 (8 9 4)
Members or elements

19. To increase a number by x%
Arc length = (n/360) x pi(2r) where n is the number of degrees.
A= (1/2) b*h
x²-2xy+y²
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

20. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
Two (Ø×2=Ø)
(distance)/(rate) d/r
500
P=4s (s=side)

21. What are congruent triangles?
(a + b)^2
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Triangles with same measure and same side lengths.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

22. One is (a prime or not?)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
3
A 30-60-90 triangle.
NOT A PRIME

23. Can you add sqrt 3 and sqrt 5?
0
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
ODD number
No - only like radicals can be added.

24. 3 is the opposite of
3
Positive
28. n = 8 - k = 2. n! / k!(n-k)!
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

25. Is 0 even or odd?
Even
1
A subset.
A reflection about the origin.

26. What is a chord of a circle?
Subtract them. i.e (5^7)/(5^3)= 5^4
A subset.
A chord is a line segment joining two points on 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)

27. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
x²-2xy+y²
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

28. What is the name of set with a number of elements which cannot be counted?
Straight Angle
Two angles whose sum is 90.
An infinite set.
A²+b²=c²

29. a(b+c)
(amount of decrease/original price) x 100%
75:11
Ab+ac
1/x

30. 2³×7³
The empty set - denoted by a circle with a diagonal through it.
(2x7)³
V=side³
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

31. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
Do not have slopes!
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.
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.
P(E) = ø

32. What does scientific notation mean?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
x^(2(4)) =x^8 = (x^4)^2
Two angles whose sum is 90.
M

33. What is an exterior angle?
Distance=rate×time or d=rt
An angle which is supplementary to an interior angle.
1/a^6
N! / (k!)(n-k)!

34. a(b-c)
Sum of digits is a multiple of 3 and the last digit is even.
Ab-ac
P=4s (s=side)
C=2 x pi x r OR pi x D

35. Slope of any line that goes up from left to right
$11 -448
An isosceles right triangle.
Positive
(distance)/(rate) d/r

36. What is a minor arc?

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37. What are the smallest three prime numbers greater than 65?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
8
12! / 5!7! = 792
67 - 71 - 73

38. a^2 + 2ab + b^2
V=Lwh
A natural number greater than 1 that has no positive divisors other than 1 and itself
(a + b)^2
True

39. 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?
1/2 times 7/3
67 - 71 - 73
N! / (n-k)!
x²-2xy+y²

40. Simplify (a^2 + b)^2 - (a^2 - b)^2
D=rt so r= d/t and t=d/r
C = 2(pi)r
Null
4a^2(b)

41. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
72
Ø
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
A 30-60-90 triangle.

42. How to recognize a # as a multiple of 9
The sum of the digits is a multiple of 9.
18
EVEN
9 & 6/7

43. To multiply a number by 10^x
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
A natural number greater than 1 that has no positive divisors other than 1 and itself
Move the decimal point to the right x places

44. Can you subtract 3sqrt4 from sqrt4?
(a + b)^2
The direction of the inequality is reversed.
The greatest value minus the smallest.
Yes - like radicals can be added/subtracted.

45. 1/Ø=null If a>b then
1
A<-b
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
V=side³

46. How to recognize a # as a multiple of 4
A natural number greater than 1 that has no positive divisors other than 1 and itself
Ø
A reflection about the origin.
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.)

47. In any polygon - all external angles equal up to
360°
(length)(width)(height)
The empty set - denoted by a circle with a diagonal through it.
Sum of digits is a multiple of 3 and the last digit is even.

48. What is a percent?
41 - 43 - 47
A percent is a fraction whose denominator is 100.
9 : 25
A set with no members - denoted by a circle with a diagonal through it.

49. Which is greater? 200x^295 or 10x^294?
A percent is a fraction whose denominator is 100.
Relationship cannot be determined (what if x is negative?)
Factors are few - multiples are many.
7 / 1000

50. The reciprocal of any non-zero #x is
x - x+1 - x+2
1/x
x²-2xy+y²
9