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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. factored binomial product of (x+y)²
Two equal sides and two equal angles.
20.5
The sum of digits is divisible by 9.
x²+2xy+y²
2. What percent of 40 is 22?
Yes - like radicals can be added/subtracted.
Parallelogram
55%
The direction of the inequality is reversed.
3. 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?
48
75:11
6 : 1 : 2
3 - -3
4. In a rectangle - all angles are
Distance=rate×time or d=rt
180
Right
10! / 3!(10-3)! = 120
5. a^2 - 2ab + b^2
P=2(l+w)
Ø Ø=Ø
(a - b)^2
62.5%
6. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
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...
2sqrt6
0
(b + c)
7. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
A reflection about the origin.
2sqrt6
(a - b)^2
8. The reciprocal of any non-zero #x is
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
1/x
A=pi*(r^2)
1
9. 7 divided by Ø
Null
75:11
A = pi(r^2)
Lies opposite the greater angle
10. The Denominator can never
Right
Smallest positive integer
Be Zero!
48
11. Perfect Squares 1-15
zero
Do not have slopes!
6
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
12. Reduce: 4.8 : 0.8 : 1.6
1 - P(E)
True
6 : 1 : 2
Be Zero!
13. What is the 'Solution' for a set of inequalities.
(a + b)^2
The overlapping sections.
P(E) = 1/1 = 1
Distance=rate×time or d=rt
14. x^6 / x^3
Even
x²-y²
x^(6-3) = x^3
Null
15. (x+y)²
Can be negative - zero - or positive
x²+2xy+y²
.0004809 X 10^11
All numbers multiples of 1.
16. (6sqrt3) x (2sqrt5) =
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)
11 - 13 - 17 - 19
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
(2x7)³
17. 10<all primes<20
11 - 13 - 17 - 19
4a^2(b)
23 - 29
... the square of the ratios of the corresponding sides.
18. Solve the quadratic equation ax^2 + bx + c= 0
Every number
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
1
9
19. What is the graph of f(x) shifted right c units or spaces?
360°
1
F(x-c)
A 30-60-90 triangle.
20. What is the area of a regular hexagon with side 6?
12sqrt2
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
37.5%
12.5%
21. If a lamp decreases to $80 - from $100 - what is the decrease in price?
3x - 4x - 5x
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
an angle that is less than 90°
The greatest value minus the smallest.
22. 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?
52
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
13
The sum of its digits is divisible by 3.
23. What is a chord of a circle?
1/2 times 7/3
ODD number
1
A chord is a line segment joining two points on a circle.
24. How many multiples does a given number have?
x - x(SR3) - 2x
Infinite.
An is positive
52
25. What is a set with no members called?
x²-2xy+y²
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.)
The empty set - denoted by a circle with a diagonal through it.
Pi is the ratio of a circle'S circumference to its diameter.
26. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
The interesection of A and B.
87.5%
A 30-60-90 triangle.
180°
27. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
A tangent is a line that only touches one point on the circumference of a circle.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
360/n
28. n = 8 - k = 2. n! / k!(n-k)!
28. What is a major arc?
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29. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
N! / (n-k)!
An arc is a portion of a circumference of a circle.
zero
an angle that is less than 90°
30. a(b-c)
(rate)(time) d=rt
Ab-ac
B?b?b (where b is used as a factor n times)
26
31. The larger the absolute value of the slope...
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
The steeper the slope.
NOT A PRIME
Indeterminable.
32. What is a minor arc?
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33. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
An expression with just one term (-6x - 2a^2)
angle that is greater than 90° but less than 180°
A reflection about the axis.
Positive
34. x^2 = 9. What is the value of x?
V=side³
3 - -3
37.5%
4.25 - 6 - 22
35. If a<b - then
A-b is negative
The sum of its digits is divisible by 3.
A+c<b+c
A natural number greater than 1 that has no positive divisors other than 1 and itself
36. If a is negative and n is even then an is (positive or negative?)
An is positive
(2x7)³
The sum of its digits is divisible by 3.
The set of elements which can be found in either A or B.
37. In a Rectangle - each angles measures
28. n = 8 - k = 2. n! / k!(n-k)!
V=side³
90°
5
38. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
A=pi*(r^2)
Ab=k (k is a constant)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
39. A number is divisible by 4 is...
Its last two digits are divisible by 4.
1
A set with a number of elements which can be counted.
F(x) + c
40. Formula to find a circle'S circumference from its diameter?
C = (pi)d
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
(x+y)(x-y)
(distance)/(rate) d/r
41. What is an isoceles triangle?
F(x-c)
The overlapping sections.
Sum of digits is a multiple of 3 and the last digit is even.
Two equal sides and two equal angles.
42. A number is divisible by 6 if...
(2x7)³
= (actual decrease/Original amount) x 100%
Its divisible by 2 and by 3.
5
43. Evaluate (4^3)^2
Move the decimal point to the right x places
360°
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
4096
44. 1 is an
Edge³
10! / 3!(10-3)! = 120
ODD number
62.5%
45. What is the graph of f(x) shifted downward c units or spaces?
500
x²-2xy+y²
F(x) - c
6 : 1 : 2
46. Formula to calculate arc length?
2²
The set of input values for a function.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
x^(2(4)) =x^8 = (x^4)^2
47. What is the slope of a horizontal line?
0
3
The longest arc between points A and B on a circle'S diameter.
x²-y²
48. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
(pi)r²
3
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
49. (x^2)^4
C = 2(pi)r
Edge³
B?b?b (where b is used as a factor n times)
x^(2(4)) =x^8 = (x^4)^2
50. A number is divisible by 3 if ...
The sum of its digits is divisible by 3.
x(x - y + 1)
x²-2xy+y²
The union of A and B.