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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. a^0 =
A=½bh
1
Its last two digits are divisible by 4.
3x - 4x - 5x

2. factored binomial product of (x-y)²
9 : 25
1/2 times 7/3
x²-2xy+y²
360°

3. Solve the quadratic equation ax^2 + bx + c= 0
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
An is positive
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Infinite.

4. 10^6 has how many zeroes?
6
A natural number greater than 1 that has no positive divisors other than 1 and itself
3
Negative

5. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
A 30-60-90 triangle.
The union of A and B.
2sqrt6
1

6. If a lamp increases from $80 to $100 - what is the percent increase?
20.5
7 / 1000
Every number
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

7. The perimeter of a square is 48 inches. The length of its diagonal is:
12sqrt2
A natural number greater than 1 that has no positive divisors other than 1 and itself
A = length x width
27

8. Pythagorean theorem
A 30-60-90 triangle.
Two equal sides and two equal angles.
A²+b²=c²
26

9. X is the opposite of
(length)(width)(height)
X
(amount of decrease/original price) x 100%
A reflection about the origin.

10. The important properties of a 45-45-90 triangle?
A-b is positive
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.
Reciprocal
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.)

11. Reduce: 4.8 : 0.8 : 1.6
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)
70
90
6 : 1 : 2

12. What is the name of set with a number of elements which cannot be counted?
A percent is a fraction whose denominator is 100.
An infinite set.
(base*height) / 2
No - only like radicals can be added.

13. Important properties of a 30-60-90 triangle?
1/2 times 7/3
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
A natural number greater than 1 that has no positive divisors other than 1 and itself
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

14. The sum of the measures of the n angles in a polygon with n sides
5 OR -5
A chord is a line segment joining two points on a circle.
(n-2) x 180
Negative

15. 1 is the
Smallest positive integer
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
72
C = (pi)d

16. 1/6 in percent?
16.6666%
1.7
1
Add them. i.e. (5^7) * (5^3) = 5^10

17. What is the 'Solution' for a set of inequalities.
The overlapping sections.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
4096
Smallest positive integer

18. Dividing by a number is the same as multiplying it by its
5 OR -5
EVEN
1 - P(E)
Reciprocal

19. Area of a circle
26
1.0843 X 10^11
(pi)r²
75:11

20. 25/2³
2²
55%
x^(2(4)) =x^8 = (x^4)^2
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

21. What is the measure of an exterior angle of a regular pentagon?
A multiple of every integer
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.)
72
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

22. Volume of a rectangular solid
An algebraic expression is a combination of one of more terms. Terms in an expression are separated by either addition or subtraction signs. (3xy - 4ab - -5cd - x^2 + x - 1)
(length)(width)(height)
1
9 & 6/7

23. Define a 'monomial'
The point of intersection of the systems.
0
An expression with just one term (-6x - 2a^2)
(a - b)(a + b)

24. If y is directly proportional to x - what does it equal?
No - only like radicals can be added.
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)
y/x is a constant
87.5%

25. 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?
90pi
180 degrees
52
2sqrt6

26. What is the 'domain' of a function?
(a - b)^2
0
The set of input values for a function.
True

27. What is the set of elements which can be found in either A or B?
y = 2x^2 - 3
The union of A and B.
... the square of the ratios of the corresponding sides.
The empty set - denoted by a circle with a diagonal through it.

28. What is the side length of an equilateral triangle with altitude 6?
1
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...
C = 2(pi)r
y/x is a constant

29. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
Two angles whose sum is 90.
An is positive
12! / 5!7! = 792
70

30. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
28. n = 8 - k = 2. n! / k!(n-k)!
x - x+1 - x+2
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

31. Time
(x+y)(x+y)
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...
(distance)/(rate) d/r
3

32. 5/8 in percent?
Smallest positive integer
Subtract them. i.e (5^7)/(5^3)= 5^4
Move the decimal point to the right x places
62.5%

33. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
(distance)/(rate) d/r
2 & 3/7
2²
ODD number

34. For any number x
Can be negative - zero - or positive
90pi
Reciprocal
3x - 4x - 5x

35. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
3 - 4 - 5
2(pi)r
Positive
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

36. x^4 + x^7 =
90
5 - 12 - 13
x^(4+7) = x^11
10! / 3!(10-3)! = 120

37. If the two sides of a triangle are unequal then the longer side.................
Lies opposite the greater angle
The greatest value minus the smallest.
Ø
2sqrt6

38. the measure of a straight angle
180°
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
13pi / 2
Arc length = (n/360) x pi(2r) where n is the number of degrees.

39. If E is certain
x²-y²
P(E) = 1/1 = 1
F(x) - c
Even prime number

40. Ø is a multiple of
360°
Two (Ø×2=Ø)
The set of output values for a function.
(a - b)(a + b)

41. What is a subset?
Negative
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
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
A grouping of the members within a set based on a shared characteristic.

42. formula for distance problems
72
Distance=rate×time or d=rt
P= 2L + 2w
P=2(l+w)

43. Slope of any line that goes up from left to right
18
Positive
4096
Subtract them. i.e (5^7)/(5^3)= 5^4

44. Factor a^2 + 2ab + b^2
62.5%
D=rt so r= d/t and t=d/r
A grouping of the members within a set based on a shared characteristic.
(a + b)^2

45. Formula for the area of a circle?
A = pi(r^2)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Even prime number

46. 1/8 in percent?
0
Ø
12.5%
V=side³

47. Volume of a cube
Edge³
5 OR -5
A central angle is an angle formed by 2 radii.
NOT A PRIME

48. What is a central angle?
A central angle is an angle formed by 2 radii.
3/2 - 5/3
2.592 kg
x^(4+7) = x^11

49. What are the integers?
All numbers multiples of 1.
Two (Ø×2=Ø)
4:5
1

50. The percent decrease of a quantity
= (actual decrease/Original amount) x 100%
A natural number greater than 1 that has no positive divisors other than 1 and itself
7 / 1000
Two angles whose sum is 180.

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GRE Math: All In One

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