Show:
AMC10
AMC10
AMC12
SAT
SAT
100
A cell phone plan costs $20 each month, plus 5 cents per text message sent, plus 10 cents for each minute used over 30 hours. In January, Michelle paid this when she sent 100 text messages and talked on the phone for 30.5 hours
What is $28.00?
100
A small bottle of shampoo holds 35 mL. A large bottle of shampoo holds 500 mL. Buying the minimum number of small bottles of shampoo necessary to fill up a large bottle of shampoo, Jasmine buys this many small bottles.
What is 15?
100
In the eight-term sequence A, B, C, D, E, F, G, H, the value of C is 5 and the sum of any three consecutive terms is 30. This is A+H.
What is 25?
100
If 6 cars out of 10 on an assembly line are red, this is the probability that a car selected at random from the assembly line will be red.
What is 3/5?
100
If 30 percent of m is 40, this is 15 percent of m.
What is 20?
200
If [a b] denotes the average of 'a' and 'b', and {a b c} denotes the average of 'a', 'b', and 'c', then {{1 1 0} [0 1] 0 } equals this.
What is 7/18?
200
The area of a rectangular region which is bound by the lines y=a, y=-b, x=-c, and x=d.
What is ac + ad + bc + bd?
200
Triangle ABC has side - lengths AB = 12, BC + 24, and AC = 18. The line through the incenter of ABC parallel to BC intersects AB at M and AC at N. This is the perimeter of AMN.
What is 30?
200
A number n is increased by 5 and the result is multiplied by 5. This result is decreased by 5. Finally that result is divided by 5. In terms of n, this is the final result.
What is n +4?
200
If a and b are positive integers and a^2 - b^2 = 7, this is the value of a.
What is 4?
300
If the majority of Ms. Demeanor's 30 students buy pencils at the store, each student buys more than one pencil, and the cost of each pencil in cents is more than the number of pencils bought by each student, then the cost of one pencil, in cents, is this.
What is 11?
300
The percent of geese out of the birds that were not swans in Town Lake if in the lake last year, 30% were geese, 25% were swans, 10% were herons, and 35% were ducks.
What is 40% ?
300
Suppose that |x + y | + | x - y| +2. This is the maximum possible value of x^2 -6x + y^2.
What is 8?
300
This is how many integers that are in the set of all integers from 1 to 100, inclusive, that are not the square of an integer.
What is 90?
300
If n = 3p, this is the value of p that is n = p.
What is 0?
400
Two standard, 6-sided dice are rolled. The sum of the numbers rolled determines the diameter of a circle. The probability of the numerical value of the area of the circle being less than the numerical value of the circumference of the circle is this.
What is 1/12?
400
The ratio of the areas of square EFGH and ABCD if the squares ABCD and EFGH lie so that each vertex of EFGH lies on a side of ABCD. Point E is on side AB so that AE = 7EB.
What is 25/32 ?
400
Let f(x) = ax^2 + bx + c, where a,b, and c are integers. suppose that f(1) = 0, 50 < f(7) < 60, 70 < f(8) <80, and 5000k < f(1000) < 5000(k+1) for some integer k. This is k.
What is 3?
400
k , n, x, and y are positive numbers satisfying x ^ (-4/3) = K^-2 and y ^ (4/3) = n^2, this is (xy)^(-2/3) in terms of n and k.
What is 1/nk
400
One circle has a radius of 1/2 and another circle has a radius of 1. This is the ratio of the area of the larger circle to the area of the smaller circle.
What is 4:1?
500
Eight identical genuine coins and two counterfeit coins of equal weight are mixed together. The weight of each of the counterfeit coins is different than that of each of the genuine coins. A pair of coins is selected at random from the 10 coins, without replacement. Another pair of coins is selected randomly from the remaining 8 coins. The two pairs of coins are then weighed. Given that the weight of each pair is the same, this is the probability that all four coins are genuine.
What is 15/19 ?
500
A population starts out as a perfect square in 1991. 10 years later, it is 150 people greater, and is 9 more than a perfect square. Another ten years later, it is another 150 people greater, and is again a perfect square. This is approximately the percent change over the 20 years, rounded to the nearest whole percent.
What is 62% ?
500
Consider all quadrilaterals ABCD such that AB = 14, BC = 9, CD = 7, and DA = 12. This is the radius of the largest possible circle that fits inside or on the boundary of such a quadrilateral.
What is 2(6)^1/2
500
p, r, and s are three different prime numbers greater than 2, and n = p x r x s; this is the number of positive factors including 1 and n that n has.
What is 8?
500
h(t) = c - (d - 4t)^2 At time t = 0, a ball was thrown upward from an initial height of 6 feet. Until the ball hit the ground, its height in feet, after t seconds was given by the function h above, in which c and d are positive constants. If the ball reached its maximum height of 106 feet at time t = 2.5, this is the height, in feet, of the ball at time t =1.
What is 70?