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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 ratio of the sides of a 30-60-90 triangle?
Null
Ø
1:sqrt3:2
The sum of its digits is divisible by 3.

2. Ø²
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Ø
V=Lwh
2(pi)r

3. 1 is the
Ab-ac
(a + b)^2
Two angles whose sum is 180.
Smallest positive integer

4. 6w^2 - w - 15 = 0
360°
31 - 37
Ø
3/2 - 5/3

5. What is the empty set?
3/2 - 5/3
A set with no members - denoted by a circle with a diagonal through it.
7 / 1000
27^(-4)

6. What is the graph of f(x) shifted right c units or spaces?
A percent is a fraction whose denominator is 100.
Right
F(x-c)
16.6666%

7. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
x - x+1 - x+2
(b + c)
(amount of decrease/original price) x 100%
70

8. Volume of a rectangular solid
(length)(width)(height)
9 & 6/7
2.592 kg
$3 -500 in the 9% and $2 -500 in the 7%.

9. The perimeter of a square is 48 inches. The length of its diagonal is:
12sqrt2
67 - 71 - 73
A multiple of every integer
11 - 13 - 17 - 19

10. Formula for the area of a sector of a circle?
Sector area = (n/360) X (pi)r^2
(x+y)(x-y)
9
The overlapping sections.

11. 10^6 has how many zeroes?
2²
6
Null
y2-y1/x2-x1

12. 8.84 / 5.2
1.7
2(pi)r
61 - 67
Undefined - because we can'T divide by 0.

13. If Event is impossible
87.5%
x²-2xy+y²
4.25 - 6 - 22
P(E) = ø

14. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
90pi
4:5
an angle that is less than 90°
16.6666%

15. 60 < all primes <70
90°
A = length x width
The sum of the digits is a multiple of 9.
61 - 67

16. Circumference of a circle
A multiple of every integer
y = 2x^2 - 3
Ø
2(pi)r

17. The Denominator can never
61 - 67
28. n = 8 - k = 2. n! / k!(n-k)!
Be Zero!
1.7

18. What are complementary angles?
1/x
83.333%
Two angles whose sum is 90.
53 - 59

19. 7/8 in percent?
Ab+ac
Do not have slopes!
87.5%
1 & 37/132

20. What is a percent?
A percent is a fraction whose denominator is 100.
Distance=rate×time or d=rt
The set of input values for a function.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

21. The reciprocal of any non-zero number is
1/x
1/2 times 7/3
360°
288 (8 9 4)

22. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
2 & 3/7
Lies opposite the greater angle
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)
500

23. The larger the absolute value of the slope...
13
3
The steeper the slope.
Do not have slopes!

24. 10<all primes<20
11 - 13 - 17 - 19
zero
x - x(SR3) - 2x
27^(-4)

25. Dividing by a number is the same as multiplying it by its
an angle that is less than 90°
Reciprocal
52
A = pi(r^2)

26. What is the set of elements which can be found in either A or B?
72
360°
(base*height) / 2
The union of A and B.

27. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
y2-y1/x2-x1
EVEN
28. n = 8 - k = 2. n! / k!(n-k)!
67 - 71 - 73

28. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
0
28. n = 8 - k = 2. n! / k!(n-k)!
87.5%
Every number

29. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2
Positive or Negative
$3 -500 in the 9% and $2 -500 in the 7%.
Ø Ø=Ø

30. How many sides does a hexagon have?
6
2²
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.)
y = 2x^2 - 3

31. the slope of a line in y=mx+b
M
Distance=rate×time or d=rt
Ø
x^(4+7) = x^11

32. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
$11 -448
Every number
= (actual decrease/Original amount) x 100%
2.592 kg

33. The Perimeter of a Square
P=4s (s=side)
(a - b)(a + b)
A²+b²=c²
Diameter(Pi)

34. the measure of a straight angle
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
x²-2xy+y²
180°
A tangent is a line that only touches one point on the circumference of a circle.

35. What is the maximum value for the function g(x) = (-2x^2) -1?
1
3 - -3
1.7
Reciprocal

36. 40 < all primes<50
1.7
4a^2(b)
Ø
41 - 43 - 47

37. Consecutive integers
x - x+1 - x+2
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Positive or Negative
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)

38. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
10
20.5
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
3

39. Ø is
2sqrt6
A multiple of every integer
18
1

40. 1/6 in percent?
A=½bh
An is positive
16.6666%
The second graph is less steep.

41. What is the ratio of the sides of an isosceles right triangle?
(length)(width)(height)
The empty set - denoted by a circle with a diagonal through it.
A tangent is a line that only touches one point on the circumference of a circle.
1:1:sqrt2

42. x^2 = 9. What is the value of x?
5
3 - -3
28. n = 8 - k = 2. n! / k!(n-k)!
A=½bh

43. How many multiples does a given number have?
The sum of digits is divisible by 9.
Infinite.
1.7
True

44. How to recognize a # as a multiple of 3
(amount of decrease/original price) x 100%
A subset.
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)
an angle that is less than 90°

45. a(b+c)
Ab+ac
(length)(width)(height)
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)
A<-b

46. What are the rational numbers?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
180°
D/t (distance)/(time)
1.0843 X 10^11

47. Probability of Event all cases
y = (x + 5)/2
31 - 37
Factors are few - multiples are many.
Ø=P(E)=1

48. (x-y)²
90°
x²-2xy+y²
A-b is positive
(a + b)^2

49. 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?
Every number
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.
Null
52

50. 30 60 90
A = pi(r^2)
3 - 4 - 5
4096
B?b?b (where b is used as a factor n times)

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GRE Math: All In One

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