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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. Area of a circle
1
Even
(pi)r²
27
2. Positive integers that have exactly 2 positive divisors are
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
The greatest value minus the smallest.
Sum of digits is a multiple of 3 and the last digit is even.
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
3. What is an exterior angle?
A = pi(r^2)
$11 -448
An angle which is supplementary to an interior angle.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
4. Which is greater? 200x^295 or 10x^294?
The set of elements which can be found in either A or B.
87.5%
7 / 1000
Relationship cannot be determined (what if x is negative?)
5. When multiplying exponential #s with the same base - you do this to the exponents...
Add them. i.e. (5^7) * (5^3) = 5^10
F(x + c)
an angle that is less than 90°
7 / 1000
6. -3³
27
1/2 times 7/3
D=rt so r= d/t and t=d/r
A multiple of every integer
7. What percent of 40 is 22?
55%
87.5%
16.6666%
A central angle is an angle formed by 2 radii.
8. (6sqrt3) x (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
11 - 13 - 17 - 19
Two equal sides and two equal angles.
6
9. What is a minor arc?
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183
10. The perimeter of a square is 48 inches. The length of its diagonal is:
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Two equal sides and two equal angles.
12sqrt2
2.592 kg
11. ز
Positive or Negative
The union of A and B.
Undefined
Ø
12. The consecutive angles in a parallelogram equal
The two xes after factoring.
180°
A percent is a fraction whose denominator is 100.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
13. 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))?
x - x+1 - x+2
20.5
A<-b
2(pi)r
14. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
= (actual decrease/Original amount) x 100%
1
18
15. Obtuse Angle
360/n
angle that is greater than 90° but less than 180°
A=(base)(height)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
16. What is the ratio of the sides of an isosceles right triangle?
A²+b²=c²
1:1:sqrt2
2
P=4s (s=side)
17. 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?
2.4. 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
1.7
F(x-c)
The greatest value minus the smallest.
18. How to recognize a multiple of 6
70
Sum of digits is a multiple of 3 and the last digit is even.
F(x) + c
1
19. When does a function automatically have a restricted domain (2)?
Straight Angle
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Positive or Negative
71 - 73 - 79
20. a^2 - b^2
Right
(a - b)(a + b)
(base*height) / 2
x²+2xy+y²
21. What is a major arc?
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183
22. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
3
Ab-ac
y/x is a constant
23. How to recognize a # as a multiple of 3
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)
5 OR -5
Subtract them. i.e (5^7)/(5^3)= 5^4
441000 = 1 10 10 10 21 * 21
24. Find distance when given time and rate
72
(base*height) / 2
x²+2xy+y²
D=rt so r= d/t and t=d/r
25. What are complementary angles?
71 - 73 - 79
2
Move the decimal point to the right x places
Two angles whose sum is 90.
26. 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
12! / 5!7! = 792
Undefined - because we can'T divide by 0.
A 30-60-90 triangle.
27. Volume of a rectangular solid
(length)(width)(height)
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.)
$3 -500 in the 9% and $2 -500 in the 7%.
x²+2xy+y²
28. Factor x^2 - xy + x.
2.592 kg
All numbers multiples of 1.
Even
x(x - y + 1)
29. Ø is a multiple of
A 30-60-90 triangle.
(x+y)(x+y)
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Every number
30. What is the slope of a horizontal line?
0
Right
3x - 4x - 5x
y = (x + 5)/2
31. In a Rectangle - each angles measures
90°
26
4.25 - 6 - 22
Two angles whose sum is 90.
32. binomial product of (x+y)²
4.25 - 6 - 22
1 & 37/132
26
(x+y)(x+y)
33. The product of any number x and its reciprocal
1
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
Be Zero!
61 - 67
34. First 10 prime #s
A central angle is an angle formed by 2 radii.
Ø
Right
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
35. What number between 70 & 75 - inclusive - has the greatest number of factors?
72
1.0843 X 10^11
11 - 13 - 17 - 19
Ø
36. How to recognize a # as a multiple of 9
Positive
Ø
The sum of the digits is a multiple of 9.
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
37. What is the ratio of the sides of a 30-60-90 triangle?
1:sqrt3:2
The shortest arc between points A and B on a circle'S diameter.
Ab-ac
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
38. Formula for the area of a circle?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
6
No - only like radicals can be added.
A = pi(r^2)
39. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
Pi is the ratio of a circle'S circumference to its diameter.
A multiple of every integer
$3 -500 in the 9% and $2 -500 in the 7%.
The greatest value minus the smallest.
40. 7/8 in percent?
87.5%
Diameter(Pi)
V=l×w×h
Its divisible by 2 and by 3.
41. What is the 'union' of A and B?
(a - b)(a + b)
The set of elements which can be found in either A or B.
The steeper the slope.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
42. What is the maximum value for the function g(x) = (-2x^2) -1?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
180°
V=l×w×h
1
43. (12sqrt15) / (2sqrt5) =
All numbers multiples of 1.
Positive or Negative
288 (8 9 4)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
44. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
0
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
A multiple of every integer
45. (x+y)²
C = 2(pi)r
A set with no members - denoted by a circle with a diagonal through it.
x²+2xy+y²
5 OR -5
46. 6w^2 - w - 15 = 0
The empty set - denoted by a circle with a diagonal through it.
1
3/2 - 5/3
zero
47. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
90pi
Two equal sides and two equal angles.
4:5
Smallest positive integer
48. What is the surface area of a cylinder with radius 5 and height 8?
Even
1
130pi
90pi
49. The sum of the angles in a quadrilateral is
... the square of the ratios of the corresponding sides.
360°
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)
2(pi)r
50. How many sides does a hexagon have?
An is positive
62.5%
Even
6
Can you answer 50 questions in 15 minutes?
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