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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. Number of degrees in a triangle
Distance=rate×time or d=rt
F(x) - c
180
4:5
2. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
Ø
2
6 : 1 : 2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
3. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
A subset.
4. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
An isosceles right triangle.
Null
Two angles whose sum is 90.
4.25 - 6 - 22
5. P and r are factors of 100. What is greater - pr or 100?
180
F(x-c)
Indeterminable.
A 30-60-90 triangle.
6. a/Ø
A-b is positive
62.5%
True
Null
7. Is 0 even or odd?
Even
Add them. i.e. (5^7) * (5^3) = 5^10
(n-2) x 180
(2x7)³
8. What is the ratio of the sides of a 30-60-90 triangle?
1/a^6
7 / 1000
1:sqrt3:2
All numbers multiples of 1.
9. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
The second graph is less steep.
Lies opposite the greater angle
(x+y)(x+y)
90
10. What is the graph of f(x) shifted downward c units or spaces?
F(x) - c
A tangent is a line that only touches one point on the circumference of a circle.
angle that is greater than 90° but less than 180°
D/t (distance)/(time)
11. How to determine percent decrease?
(a - b)^2
1.0843 X 10^11
(amount of decrease/original price) x 100%
Every number
12. (x-y)²
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
x(x - y + 1)
x²-2xy+y²
The overlapping sections.
13. Define a 'Term' -
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)
1
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)
Reciprocal
14. Any Horizontal line slope
F(x + c)
27
Indeterminable.
zero
15. The Perimeter of a Square
3x - 4x - 5x
23 - 29
(a + b)^2
P=4s (s=side)
16. (6sqrt3) x (2sqrt5) =
A chord is a line segment joining two points on a circle.
The sum of digits is divisible by 9.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
(a + b)^2
17. Rate
A = pi(r^2)
An isosceles right triangle.
3x - 4x - 5x
D/t (distance)/(time)
18. If a pair of parallel lines is cut by a transversal that'S not perpendicular - the sum of any acute angle and any obtuse angle is
180
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
y = (x + 5)/2
Add them. i.e. (5^7) * (5^3) = 5^10
19. factored binomial product of (x-y)²
x²-2xy+y²
(p + q)/5
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
16.6666%
20. 5/8 in percent?
Every number
(p + q)/5
62.5%
6 : 1 : 2
21. Evaluate 4/11 + 11/12
A-b is positive
1 & 37/132
2
y = (x + 5)/2
22. Dividing by a number is the same as multiplying it by its
A tangent is a line that only touches one point on the circumference of a circle.
Reciprocal
P=2(l+w)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
23. Evaluate 3& 2/7 / 1/3
The direction of the inequality is reversed.
Reciprocal
9 & 6/7
Ø
24. 60 < all primes <70
61 - 67
3/2 - 5/3
(a - b)^2
75:11
25. 6w^2 - w - 15 = 0
The union of A and B.
37.5%
3/2 - 5/3
(a + b)^2
26. 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
The shortest arc between points A and B on a circle'S diameter.
1/2 times 7/3
Ab=k (k is a constant)
27. What is a minor arc?
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28. Probability of an Event
N! / (n-k)!
P(E) = number of favorable outcomes/total number of possible outcomes
$3 -500 in the 9% and $2 -500 in the 7%.
Ab+ac
29. What is the maximum value for the function g(x) = (-2x^2) -1?
(x+y)(x-y)
The longest arc between points A and B on a circle'S diameter.
(amount of decrease/original price) x 100%
1
30. When multiplying exponential #s with the same base - you do this to the exponents...
Add them. i.e. (5^7) * (5^3) = 5^10
(x+y)(x-y)
5 - 12 - 13
A grouping of the members within a set based on a shared characteristic.
31. First 10 prime #s
x²-2xy+y²
Ab+ac
.0004809 X 10^11
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
32. a<b then a - b is positive or negative?
12! / 5!7! = 792
1 & 37/132
A-b is negative
1
33. Formula for the area of a circle?
1
X
Its last two digits are divisible by 4.
A = pi(r^2)
34. Simplify 9^(1/2) X 4^3 X 2^(-6)?
The second graph is less steep.
3
zero
The set of input values for a function.
35. A number is divisible by 9 if...
A²+b²=c²
The sum of digits is divisible by 9.
An is positive
Ø
36. The product of any number x and its reciprocal
1
All numbers multiples of 1.
3 - -3
Positive
37. What is the graph of f(x) shifted right c units or spaces?
F(x-c)
7 / 1000
360°
1/x
38. 10^6 has how many zeroes?
1/a^6
No - only like radicals can be added.
6
1
39. The perimeter of a square is 48 inches. The length of its diagonal is:
The direction of the inequality is reversed.
P(E) = 1/1 = 1
Pi(diameter)
12sqrt2
40. 30 60 90
x^(4+7) = x^11
3x - 4x - 5x
Sum of digits is a multiple of 3 and the last digit is even.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
41. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
NOT A PRIME
3
An isosceles right triangle.
180°
42. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
48
87.5%
3
Every number
43. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
y = (x + 5)/2
Ø
500
Cd
44. 1/6 in percent?
26
48
Distance=rate×time or d=rt
16.6666%
45. 20<all primes<30
(a - b)^2
The sum of its digits is divisible by 3.
53 - 59
23 - 29
46. Area of a circle
360°
Infinite.
(pi)r²
500
47. formula for volume of a rectangular solid
3/2 - 5/3
V=l×w×h
1.0843 X 10^11
10
48. What are the integers?
Two angles whose sum is 90.
72
All numbers multiples of 1.
The empty set - denoted by a circle with a diagonal through it.
49. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
4725
The set of elements which can be found in either A or B.
P=2(l+w)
50. What are the irrational numbers?
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