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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. The Denominator can never
Be Zero!
180°
y = 2x^2 - 3
A reflection about the origin.
2. 0^0
A central angle is an angle formed by 2 radii.
27^(-4)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Undefined
3. a^2 - b^2 =
1
1 & 37/132
28
(a - b)(a + b)
4. a^2 - 2ab + b^2
F(x + c)
(a - b)^2
A tangent is a line that only touches one point on the circumference of a circle.
Indeterminable.
5. If the two sides of a triangle are unequal then the longer side.................
Lies opposite the greater angle
Ab=k (k is a constant)
Can be negative - zero - or positive
3/2 - 5/3
6. What is the maximum value for the function g(x) = (-2x^2) -1?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
1
360/n
(n-2) x 180
7. What is the graph of f(x) shifted upward c units or spaces?
(n-2) x 180
1.0843 X 10^11
F(x) + c
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
8. -3³
F(x) - c
27
1
3/2 - 5/3
9. Consecutive integers
Ab=k (k is a constant)
(a - b)^2
x - x+1 - x+2
Two (Ø×2=Ø)
10. To increase a number by x%
2
zero
The two xes after factoring.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
11. How to find the circumference of a circle which circumscribes a square?
F(x-c)
Parallelogram
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
An expression with just one term (-6x - 2a^2)
12. Which is greater? 64^5 or 16^8
The sum of its digits is divisible by 3.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
1.7
13. 30 60 90
3 - 4 - 5
All numbers multiples of 1.
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
14. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
2.592 kg
3
1:1:sqrt2
288 (8 9 4)
15. Ø is a multiple of
23 - 29
Every number
1 & 37/132
13
16. factored binomial product of (x-y)²
13pi / 2
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
1.0843 X 10^11
x²-2xy+y²
17. 30 60 90
V=l×w×h
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)
5 - 12 - 13
(b + c)
18. If a is inversely porportional to b - what does it equal?
1/a^6
90°
Ab=k (k is a constant)
A chord is a line segment joining two points on a circle.
19. First 10 prime #s
The triangle is a right triangle. The triangle is isosceles (AC=BC). The ratio of the lengths of the three sides is x:x:xv2.
180 degrees
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
(length)(width)(height)
20. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
500
180°
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
A tangent is a line that only touches one point on the circumference of a circle.
21. 5x^2 - 35x -55 = 0
6
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
180
Two equal sides and two equal angles.
22. 70 < all primes< 80
71 - 73 - 79
x^(6-3) = x^3
Right
130pi
23. Simplify the expression (p^2 - q^2)/ -5(q - p)
90
(p + q)/5
2(pi)r
70
24. What is the surface area of a cylinder with radius 5 and height 8?
Ø
130pi
Do not have slopes!
11 - 13 - 17 - 19
25. If an inequality is multiplied or divided by a negative number....
4a^2(b)
61 - 67
The direction of the inequality is reversed.
23 - 29
26. Area of a circle
(pi)r²
87.5%
2^9 / 2 = 256
A<-b
27. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
2 & 3/7
1 - P(E)
x²-2xy+y²
4:5
28. What are 'Supplementary angles?'
12! / 5!7! = 792
13pi / 2
Two angles whose sum is 180.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
29. 5/6 in percent?
41 - 43 - 47
70
1/2 times 7/3
83.333%
30. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
500
1
180
31. 4.809 X 10^7 =
.0004809 X 10^11
(pi)r²
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)
2.592 kg
32. What is the graph of f(x) shifted left c units or spaces?
4.25 - 6 - 22
(rate)(time) d=rt
F(x + c)
72
33. What is the name of set with a number of elements which cannot be counted?
An infinite set.
x²-2xy+y²
11 - 13 - 17 - 19
360°
34. 7/8 in percent?
87.5%
NOT A PRIME
(x+y)(x+y)
5
35. What is the 'Range' of a series of numbers?
D/t (distance)/(time)
The greatest value minus the smallest.
The sum of digits is divisible by 9.
6
36. Find the surface area of a cylinder with radius 3 and height 12.
90pi
4725
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
The sum of the digits is a multiple of 9.
37. Distance
(rate)(time) d=rt
1 - P(E)
Pi is the ratio of a circle'S circumference to its diameter.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
38. factored binomial product of (x+y)²
x²+2xy+y²
Ø
An infinite set.
B?b?b (where b is used as a factor n times)
39. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
2sqrt6
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
1/x
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)
40. The larger the absolute value of the slope...
The steeper the slope.
An infinite set.
Ø
7 / 1000
41. Time
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
(distance)/(rate) d/r
The set of elements which can be found in either A or B.
Smallest positive integer
42. What are the irrational numbers?
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43. If a is negative and n is even then an is (positive or negative?)
An is positive
A central angle is an angle formed by 2 radii.
Pi is the ratio of a circle'S circumference to its diameter.
A tangent is a line that only touches one point on the circumference of a circle.
44. Volume of a rectangular box
F(x) - c
V=Lwh
Relationship cannot be determined (what if x is negative?)
Ø
45. One is (a prime or not?)
Sector area = (n/360) X (pi)r^2
(pi)r²
The sum of its digits is divisible by 3.
NOT A PRIME
46. a<b then a - b is positive or negative?
M
A-b is negative
N! / (k!)(n-k)!
The shortest arc between points A and B on a circle'S diameter.
47. If E is certain
P(E) = 1/1 = 1
72
Every number
A= (1/2) b*h
48. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
180 degrees
5 OR -5
X
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
49. Formula to find a circle'S circumference from its radius?
4.25 - 6 - 22
C = 2(pi)r
1.0843 X 10^11
72
50. 40 < all primes<50
41 - 43 - 47
3 - 4 - 5
The second graph is less steep.
A²+b²=c²