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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. 1/Ø=null If a>b then
No - only like radicals can be added.
Pi(diameter)
A<-b
F(x-c)
2. An Angle that'S 180°
37.5%
6
Straight Angle
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
3. What is the graph of f(x) shifted left c units or spaces?
5 OR -5
F(x + c)
V=l×w×h
11 - 13 - 17 - 19
4. What is the 'domain' of a function?
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...
x^(6-3) = x^3
The set of input values for a function.
F(x-c)
5. 2³×7³
x²-2xy+y²
1/x
37.5%
(2x7)³
6. What are the members or elements of a set?
y2-y1/x2-x1
7 / 1000
The objects within a set.
1:1:sqrt2
7. a^0 =
A subset.
5 - 12 - 13
1
The set of input values for a function.
8. 3/8 in percent?
37.5%
9 & 6/7
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)
V=Lwh
9. When does a function automatically have a restricted domain (2)?
y/x is a constant
55%
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
1.7
10. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
.0004809 X 10^11
D/t (distance)/(time)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
0
11. The reciprocal of any non-zero number is
1/2 times 7/3
9 & 6/7
180
1/x
12. formula for area of a triangle
3
A=½bh
1
V=Lwh
13. factored binomial product of (x-y)²
x²-2xy+y²
The objects within a set.
500
360°
14. If Event is impossible
P(E) = ø
The sum of its digits is divisible by 3.
Right
2sqrt6
15. If a is inversely porportional to b - what does it equal?
Ab=k (k is a constant)
V=side³
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.
A-b is negative
16. 30< all primes<40
EVEN
1 & 37/132
31 - 37
A grouping of the members within a set based on a shared characteristic.
17. Simplify (a^2 + b)^2 - (a^2 - b)^2
4096
Cd
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
4a^2(b)
18. binomial product of (x-y)²
(x+y)(x-y)
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
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
500
19. First 10 prime #s
A reflection about the origin.
Every number
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
20. How to recognize a # as a multiple of 9
Triangles with same measure and same side lengths.
EVEN
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
The sum of the digits is a multiple of 9.
21. 30 60 90
23 - 29
5 - 12 - 13
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Positive
22. a/Ø
8
The point of intersection of the systems.
Null
(pi)r²
23. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
71 - 73 - 79
2
Undefined - because we can'T divide by 0.
Pi(diameter)
24. 1/2 divided by 3/7 is the same as
Members or elements
1/2 times 7/3
A natural number greater than 1 that has no positive divisors other than 1 and itself
The two xes after factoring.
25. 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?
2.592 kg
N! / (n-k)!
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
D/t (distance)/(time)
26. Slope of any line that goes up from left to right
5 - 12 - 13
1/x
C=2 x pi x r OR pi x D
Positive
27. (x+y)²
Positive or Negative
x²+2xy+y²
3 - -3
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)
28. What is the side length of an equilateral triangle with altitude 6?
72
23 - 29
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...
1/2 times 7/3
29. 25+2³
4725
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
28
Triangles with same measure and same side lengths.
30. If a lamp increases from $80 to $100 - what is the percent increase?
Two angles whose sum is 90.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
Ø
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
31. Legs 5 - 12. Hypotenuse?
Members or elements
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
13
67 - 71 - 73
32. 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?
Parallelogram
75:11
360°
Ab-ac
33. What is an isoceles triangle?
Two equal sides and two equal angles.
Edge³
= (actual decrease/Original amount) x 100%
x - x(SR3) - 2x
34. What are congruent triangles?
3
Yes - like radicals can be added/subtracted.
Triangles with same measure and same side lengths.
3
35. Simplify the expression [(b^2 - c^2) / (b - c)]
1
A+c<b+c
2²
(b + c)
36. Describe the relationship between 3x^2 and 3(x - 1)^2
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
x^(4+7) = x^11
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
C=2 x pi x r OR pi x D
37. What is an arc of a circle?
87.5%
An arc is a portion of a circumference of a circle.
F(x-c)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
38. The reciprocal of any non-zero #x is
1/x
Infinite.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
A set with no members - denoted by a circle with a diagonal through it.
39. For any number x
55%
Can be negative - zero - or positive
(amount of decrease/original price) x 100%
Every number
40. What are 'Supplementary angles?'
4.25 - 6 - 22
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Two angles whose sum is 180.
0
41. a^2 + 2ab + b^2
P=4s (s=side)
(a + b)^2
A=½bh
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
42. Is 0 even or odd?
6 : 1 : 2
3x - 4x - 5x
Even
Negative
43. Can you simplify sqrt72?
1
x - x(SR3) - 2x
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
44. 1n
(b + c)
1
27^(-4)
18
45. Volume of a cube
Ø
A reflection about the origin.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Edge³
46. What is a percent?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
61 - 67
A percent is a fraction whose denominator is 100.
75:11
47. The larger the absolute value of the slope...
(a - b)(a + b)
13pi / 2
The steeper the slope.
A= (1/2) b*h
48. Factor a^2 + 2ab + b^2
The sum of digits is divisible by 9.
(a + b)^2
Undefined - because we can'T divide by 0.
Indeterminable.
49. 5/6 in percent?
6
Factors are few - multiples are many.
83.333%
NOT A PRIME
50. If a is negative and n is even then an is (positive or negative?)
6
An is positive
3
5