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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. 25^(1/2) or sqrt. 25 =
5 OR -5
52
y2-y1/x2-x1
13
2. 30 60 90
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
3 - 4 - 5
11 - 13 - 17 - 19
Distance=rate×time or d=rt
3. 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?
$3 -500 in the 9% and $2 -500 in the 7%.
Relationship cannot be determined (what if x is negative?)
Ø
8
4. What is the surface area of a cylinder with radius 5 and height 8?
52
130pi
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)
360°
5. What is an isoceles triangle?
Positive
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Two equal sides and two equal angles.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
6. The sum of the angles in a quadrilateral is
360°
EVEN
The sum of digits is divisible by 9.
x²+2xy+y²
7. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
Its divisible by 2 and by 3.
4:5
F(x) + c
9 : 25
8. 40 < all primes<50
72
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)
41 - 43 - 47
27^(-4)
9. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
x²-2xy+y²
Two angles whose sum is 180.
72
10. What are 'Supplementary angles?'
2 & 3/7
Two angles whose sum is 180.
360°
70
11. If a lamp decreases to $80 - from $100 - what is the decrease in price?
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
An infinite set.
1/a^6
(base*height) / 2
12. (x-y)(x+y)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
(a - b)(a + b)
x²-y²
12sqrt2
13. a>b then a - b is positive or negative?
A-b is positive
3 - -3
P(E) = ø
Parallelogram
14. a<b then a - b is positive or negative?
(a + b)^2
A-b is negative
x²-y²
(pi)r²
15. x^2 = 9. What is the value of x?
Positive
9 : 25
3 - -3
Infinite.
16. -3³
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.
1 - P(E)
27
x^(6-3) = x^3
17. Consecutive integers
A 30-60-90 triangle.
x - x+1 - x+2
1/a^6
A set with no members - denoted by a circle with a diagonal through it.
18. What is a major arc?
Warning
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/var/www/html/basicversity.com/show_quiz.php
on line
183
19. What is a tangent?
180°
F(x + c)
9 : 25
A tangent is a line that only touches one point on the circumference of a circle.
20. bn
500
Even prime number
B?b?b (where b is used as a factor n times)
(b + c)
21. 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?
2^9 / 2 = 256
500
1 - P(E)
y2-y1/x2-x1
22. What is the set of elements found in both A and B?
The interesection of A and B.
2.592 kg
The direction of the inequality is reversed.
M= (Y1-Y2)/(X1-X2)
23. 70 < all primes< 80
27^(-4)
1 - P(E)
71 - 73 - 79
Do not have slopes!
24. What is a percent?
A grouping of the members within a set based on a shared characteristic.
A percent is a fraction whose denominator is 100.
11 - 13 - 17 - 19
288 (8 9 4)
25. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
Cd
N! / (k!)(n-k)!
D/t (distance)/(time)
Smallest positive integer
26. Factor x^2 - xy + x.
All numbers multiples of 1.
P=2(l+w)
x(x - y + 1)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
27. In a Rectangle - each angles measures
90°
55%
12.5%
130pi
28. 1 is the
2sqrt6
10! / (10-3)! = 720
62.5%
Smallest positive integer
29. What is the graph of f(x) shifted downward c units or spaces?
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
F(x) - c
67 - 71 - 73
x²-2xy+y²
30. Circumference of a Circle
0
C=2 x pi x r OR pi x D
2.592 kg
13pi / 2
31. If a product of two numbers is Ø - one number must be
Ø
1
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
3 - 4 - 5
32. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
87.5%
2^9 / 2 = 256
A<-b
2.592 kg
33. If a<b - then
A subset.
A+c<b+c
P=2(l+w)
55%
34. Slope
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
y2-y1/x2-x1
Factors are few - multiples are many.
y/x is a constant
35. Dividing by a number is the same as multiplying it by its
360°
True
Reciprocal
A=(base)(height)
36. 5x^2 - 35x -55 = 0
360°
67 - 71 - 73
The overlapping sections.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
37. 50 < all primes< 60
53 - 59
y = (x + 5)/2
55%
P= 2L + 2w
38. The sum of the measures of the n angles in a polygon with n sides
1
1
(n-2) x 180
Smallest positive integer
39. What is the side length of an equilateral triangle with altitude 6?
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...
Infinite.
28. n = 8 - k = 2. n! / k!(n-k)!
D=rt so r= d/t and t=d/r
40. The product of odd number of negative numbers
x^(2(4)) =x^8 = (x^4)^2
The steeper the slope.
Negative
Be Zero!
41. The reciprocal of any non-zero number is
C = (pi)d
72
1/x
83.333%
42. If a lamp increases from $80 to $100 - what is the percent increase?
Edge³
(a - b)(a + b)
x²-y²
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
43. A prime number (or a prime)
3 - -3
A natural number greater than 1 that has no positive divisors other than 1 and itself
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.)
44. 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?
The longest arc between points A and B on a circle'S diameter.
(pi)r²
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
$11 -448
45. Factor a^2 + 2ab + b^2
A= (1/2) b*h
An isosceles right triangle.
Even
(a + b)^2
46. What are complementary angles?
Two angles whose sum is 90.
23 - 29
A²+b²=c²
D=rt so r= d/t and t=d/r
47. A number is divisible by 4 is...
11 - 13 - 17 - 19
5 OR -5
Its last two digits are divisible by 4.
Lies opposite the greater angle
48. 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?
x²+2xy+y²
1
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
2.592 kg
49. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
= (actual decrease/Original amount) x 100%
x²-2xy+y²
A 30-60-90 triangle.
A=(base)(height)
50. Evaluate (4^3)^2
4096
0
A tangent is a line that only touches one point on the circumference of a circle.
ODD number