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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. formula for volume of a rectangular solid
V=l×w×h
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)
Sector area = (n/360) X (pi)r^2
Ab=k (k is a constant)
2. 1n
90pi
1
3
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
3. 30 60 90
Move the decimal point to the right x places
(a - b)(a + b)
V=l×w×h
3 - 4 - 5
4. One is (a prime or not?)
9 & 6/7
NOT A PRIME
Factors are few - multiples are many.
1.0843 X 10^11
5. (x-y)²
Ab=k (k is a constant)
A natural number greater than 1 that has no positive divisors other than 1 and itself
x²-2xy+y²
1/2 times 7/3
6. The Perimeter of a Square
1
Add them. i.e. (5^7) * (5^3) = 5^10
P=4s (s=side)
All numbers multiples of 1.
7. Any Horizontal line slope
Negative
zero
12.5%
Smallest positive integer
8. What are the rational numbers?
An expression with just one term (-6x - 2a^2)
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.)
y2-y1/x2-x1
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
9. Which is greater? 27^(-4) or 9^(-8)
x(x - y + 1)
A<-b
27^(-4)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
10. 0^0
90°
Its divisible by 2 and by 3.
Undefined
All numbers multiples of 1.
11. The product of any number x and its reciprocal
The objects within a set.
1
Undefined
(rate)(time) d=rt
12. Circumference of a circle?
Diameter(Pi)
The sum of the digits is a multiple of 9.
Positive or Negative
A reflection about the axis.
13. What does scientific notation mean?
A= (1/2) b*h
Distance=rate×time or d=rt
zero
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
14. 1/6 in percent?
16.6666%
90°
Ab=k (k is a constant)
y = (x + 5)/2
15. Circumference of a Circle
4a^2(b)
Move the decimal point to the right x places
C=2 x pi x r OR pi x D
A²+b²=c²
16. What are congruent triangles?
4a^2(b)
x - x(SR3) - 2x
The overlapping sections.
Triangles with same measure and same side lengths.
17. What is the maximum value for the function g(x) = (-2x^2) -1?
Add them. i.e. (5^7) * (5^3) = 5^10
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)
1
Ø
18. What is an exterior angle?
70
An angle which is supplementary to an interior angle.
Straight Angle
1/x
19. Consecutive integers
V=l×w×h
Infinite.
x - x+1 - x+2
1/x
20. The Perimeter of a rectangle
P=2(l+w)
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
The sum of its digits is divisible by 3.
67 - 71 - 73
21. Slope given 2 points
(distance)/(rate) d/r
Distance=rate×time or d=rt
P(E) = 1/1 = 1
M= (Y1-Y2)/(X1-X2)
22. What percent of 40 is 22?
x^(6-3) = x^3
55%
360/n
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
23. Can you simplify sqrt72?
x - x(SR3) - 2x
31 - 37
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
62.5%
24. To decrease a number by x%
= (actual decrease/Original amount) x 100%
Null
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
10
25. the slope of a line in y=mx+b
7 / 1000
A set with a number of elements which can be counted.
Distance=rate×time or d=rt
M
26. (x+y)²
EVEN
x²+2xy+y²
1:sqrt3:2
1
27. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
Sector area = (n/360) X (pi)r^2
x²+2xy+y²
The steeper the slope.
28. 1 is the
360°
Smallest positive integer
A set with a number of elements which can be counted.
10! / (10-3)! = 720
29. Describe the relationship between 3x^2 and 3(x - 1)^2
C = (pi)d
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
NOT A PRIME
y = (x + 5)/2
30. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
Indeterminable.
4:5
20.5
Reciprocal
31. The sum of the measures of the n angles in a polygon with n sides
D/t (distance)/(time)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
(n-2) x 180
Two angles whose sum is 90.
32. Simplify the expression [(b^2 - c^2) / (b - c)]
3
4a^2(b)
True
(b + c)
33. factored binomial product of (x+y)²
P(E) = ø
x²-y²
x²+2xy+y²
1/x
34. What is a set with no members called?
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
y2-y1/x2-x1
1.0843 X 10^11
The empty set - denoted by a circle with a diagonal through it.
35. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
Add them. i.e. (5^7) * (5^3) = 5^10
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
90
A multiple of every integer
36. Define a 'Term' -
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)
Two angles whose sum is 180.
Pi(diameter)
(b + c)
37. In a Rectangle - each angles measures
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
90°
0
38. 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?
y = (x + 5)/2
4a^2(b)
3
52
39. First 10 prime #s
31 - 37
1/x
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
The two xes after factoring.
40. How to recognize a # as a multiple of 3
Edge³
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)
180 degrees
Members or elements
41. Circumference of a circle
Pi(diameter)
1/x
4.25 - 6 - 22
1
42. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
10! / (10-3)! = 720
Positive
Edge³
75:11
43. Evaluate 3& 2/7 / 1/3
Triangles with same measure and same side lengths.
2
Indeterminable.
9 & 6/7
44. 3/8 in percent?
The steeper the slope.
Even
37.5%
6 : 1 : 2
45. Pythagorean theorem
A²+b²=c²
D/t (distance)/(time)
A subset.
M= (Y1-Y2)/(X1-X2)
46. The reciprocal of any non-zero #x is
V=l×w×h
70
A+c<b+c
1/x
47. 25^(1/2) or sqrt. 25 =
12sqrt2
130pi
Smallest positive integer
5 OR -5
48. Area of a triangle?
(base*height) / 2
6
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.)
(2x7)³
49. How to recognize if a # is a multiple of 12
0
20.5
Smallest positive integer
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.)
50. formula for distance problems
Distance=rate×time or d=rt
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
A = pi(r^2)
y = (x + 5)/2