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Test your basic knowledge |
GRE Math: All In One
Start Test
Study First
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 is a chord of a circle?
A grouping of the members within a set based on a shared characteristic.
10
A chord is a line segment joining two points on a circle.
2
2. The reciprocal of any non-zero #x is
x²+2xy+y²
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
1/x
x²+2xy+y²
3. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
(x+y)(x+y)
1/x
$11 -448
4. First 10 prime #s
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
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
6 : 1 : 2
V=l×w×h
5. Slope given 2 points
83.333%
= (actual decrease/Original amount) x 100%
M= (Y1-Y2)/(X1-X2)
75:11
6. 1 is an
y2-y1/x2-x1
ODD number
(n-2) x 180
72
7. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
$3 -500 in the 9% and $2 -500 in the 7%.
C=2 x pi x r OR pi x D
x²-y²
F(x + c)
8. 1/8 in percent?
27^(-4)
F(x) + c
Parallelogram
12.5%
9. The Perimeter of a rectangle
P=2(l+w)
The interesection of A and B.
Its last two digits are divisible by 4.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
10. If Event is impossible
130pi
P(E) = ø
(p + q)/5
P(E) = number of favorable outcomes/total number of possible outcomes
11. Formula to find a circle'S circumference from its diameter?
The union of A and B.
1
C = (pi)d
Two angles whose sum is 180.
12. An Angle that'S 180°
48
Straight Angle
The sum of digits is divisible by 9.
Positive or Negative
13. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2
An isosceles right triangle.
1.0843 X 10^11
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
14. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
Ab=k (k is a constant)
288 (8 9 4)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
4:5
15. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
90
4725
A=(base)(height)
A 30-60-90 triangle.
16. If y is directly proportional to x - what does it equal?
y/x is a constant
360/n
9 : 25
Two (Ø×2=Ø)
17. 0^0
Undefined
(length)(width)(height)
(amount of decrease/original price) x 100%
62.5%
18. For any number x
53 - 59
The second graph is less steep.
Can be negative - zero - or positive
Positive
19. 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.
1
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.)
180
20. Circumference of a circle?
1/2 times 7/3
(rate)(time) d=rt
Diameter(Pi)
(n-2) x 180
21. What is the graph of f(x) shifted downward c units or spaces?
70
F(x) - c
0
2sqrt6
22. How to recognize a multiple of 6
87.5%
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)
Sum of digits is a multiple of 3 and the last digit is even.
A chord is a line segment joining two points on a circle.
23. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
72
(distance)/(rate) d/r
All numbers multiples of 1.
24. Probability of an Event
67 - 71 - 73
P(E) = number of favorable outcomes/total number of possible outcomes
2 & 3/7
9 & 6/7
25. The percent decrease of a quantity
= (actual decrease/Original amount) x 100%
53 - 59
10! / (10-3)! = 720
3
26. If a product of two numbers is Ø - one number must be
71 - 73 - 79
Ø
27^(-4)
The steeper the slope.
27. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
2^9 / 2 = 256
P(E) = number of favorable outcomes/total number of possible outcomes
A=½bh
28. Formula for the area of a sector of a circle?
Sector area = (n/360) X (pi)r^2
Ø Ø=Ø
Null
The interesection of A and B.
29. (12sqrt15) / (2sqrt5) =
V=l×w×h
41 - 43 - 47
The point of intersection of the systems.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
30. Simplify the expression [(b^2 - c^2) / (b - c)]
18
(b + c)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
y = 2x^2 - 3
31. Convert 0.7% to a fraction.
y2-y1/x2-x1
52
7 / 1000
B?b?b (where b is used as a factor n times)
32. A number is divisible by 3 if ...
18
Positive
The sum of its digits is divisible by 3.
8
33. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
Ø
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Two equal sides and two equal angles.
1
34. factored binomial product of (x-y)²
13pi / 2
2
x²-2xy+y²
x²+2xy+y²
35. What is the empty set?
41 - 43 - 47
N! / (n-k)!
A set with no members - denoted by a circle with a diagonal through it.
A=½bh
36. (x-y)²
2 & 3/7
Even prime number
x²-2xy+y²
P(E) = 1/1 = 1
37. 25/2³
2²
12.5%
Null
55%
38. Area of a Parallelogram:
48
1
A=(base)(height)
23 - 29
39. Simplify the expression (p^2 - q^2)/ -5(q - p)
4:5
(p + q)/5
360/n
An isosceles right triangle.
40. 10^6 has how many zeroes?
The direction of the inequality is reversed.
6
Negative
A reflection about the origin.
41. Find the surface area of a cylinder with radius 3 and height 12.
90pi
(n-2) x 180
500
X
42. The reciprocal of any non-zero number is
180
x²+2xy+y²
1/x
Ø Ø=Ø
43. What is the measure of an exterior angle of a regular pentagon?
Its divisible by 2 and by 3.
10! / 3!(10-3)! = 120
72
A central angle is an angle formed by 2 radii.
44. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
10! / (10-3)! = 720
X
Pi is the ratio of a circle'S circumference to its diameter.
83.333%
45. In a rectangle - all angles are
A reflection about the origin.
(n-2) x 180
... the square of the ratios of the corresponding sides.
Right
46. 5x^2 - 35x -55 = 0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Null
P=4s (s=side)
y = 2x^2 - 3
47. What percent of 40 is 22?
3 - -3
x²-y²
F(x + c)
55%
48. If a lamp increases from $80 to $100 - what is the percent increase?
Every number
Null
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
16.6666%
49. Evaluate 3& 2/7 / 1/3
x(x - y + 1)
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.)
9 & 6/7
(a + b)^2
50. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
70
0
Even