All Questions ⁺⁰237694 Questions

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+1940

Math

All the sides of a triangle have integer length. The perimeter of the triangle is 10, and the triangle is scalene. How many such non-congruent triangles are there?

tomtom Jan 17, 2026

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+1940

Math

In triangle ABC, let D be a point on side BC. Select all the true statements.
If AD is an altitude of triangle ABC, then AC > AD.
If AD is a median of triangle ABC, then BD > CD.
If AD is an angle bisector read more ..

tomtom Jan 17, 2026

Jan 16, 2026

0

1

1

+404

Math

Bekah has three brass house number digits: 2, 3, 4, 5, and 6. How many distinct numbers can she form using one or more of the digits, if her number must be divisible by 4?

Stanry Jan 16, 2026

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+4

Ms. Lee has 12 boxes of crayons. Next year, she plans to buy 250% more boxes. How many boxes will she have in all? Responses 15 boxes 15 bo

Ms. Lee has 12 boxes of crayons. Next year, she plans to buy 250% more boxes. How many boxes will she have in all?
Responses
15 boxes
15 boxes read more ..

emmaisthebest Jan 16, 2026

Jan 15, 2026

0

1

2

+1289

Math

To win a game with a fair coin, you must flip n+1 heads in a row, where $n$ is the total number of tails flipped so far. So if your first flip is heads, you win and the game is over; if your first flip is tails but your next two in a row are heads, you read more ..

AnswerscorrectIy Jan 15, 2026

Jan 14, 2026

+1

21

1

+100

Easy Physics Problem

A train engine and carriages have a total mass of 750 tons
Its brakes fail, and it crashes into the barrier in the terminus with a force of 1,687,500 N.
The barrier stops the train in 15 s.
Calculate the velocity of the train in km/h just read more ..

nerdboy Jan 14, 2026

+1

21

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+100

Modulo

The sum of the prime numbers from 1-10, 11-20, 21-30, 31-40, and 41-50 are multiplied together with 997. What is the remainder when this result is divided by 97?

nerdboy Jan 14, 2026

Nov 3, 2025

Oct 29, 2025

Oct 26, 2025

Oct 24, 2025

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22

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+104

Math

Distinct prime numbers p, q, and r satisfy the equation p(q + r) = 16. Which of the following prime numbers must either q or r be equal to?
2 3 5 7 11

ElectricPavlov ●●

BlackoutMiIkshake Oct 24, 2025

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23

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+104

Math

The triangle with vertices at (1,0), (0,1), and (k,k) has area 1/2. Find k.

BlackoutMiIkshake Oct 24, 2025

-1

22

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+104

Math

Mrs. Monstrous Millie wants to throw a party for a group of monsters and aliens. The monsters each have 5 heads with 7 ears on each head, and the aliens each have 5 heads with 3 ears on each head. As party favors, Mrs. Millie wants to give each guest a read more ..

BlackoutMiIkshake Oct 24, 2025

Oct 23, 2025

Oct 22, 2025

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22

1

+104

Math

Siva starts at vertex A of square ABCD with side length 10. He walks towards vertex C, along the diagonal AC. He then walks towards B, then towards D. What is the length of his path?

BlackoutMiIkshake Oct 22, 2025

0

21

2

+104

Math

William writes the integers from 2 through 15 from left to right on a piece of paper, then does the following:

* He begins by circling the leftmost uncircled integer, then circles all its powers. Afterwards, he repeats this process until every read more ..

BlackoutMiIkshake Oct 22, 2025

+1

22

1

+104

Math

Two chords with length r are drawn on a circle of radius r. What is the maximum possible distance between their endpoints?

BlackoutMiIkshake Oct 22, 2025

Oct 21, 2025

+1

4

1

+104

Math

In the diagram below, AB = AC = 1, and arc BC is centered at A with \angle BAC = 60^\circ. Point D is on \overline{AB}, and point E is on arc BC so that BD = DE, and arc BE (centered at D) is tangent to \overline{AC}. Point F is on \overline{DB}, read more ..

BlackoutMiIkshake Oct 21, 2025

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+104

Math

Let ABC be a triangle with \angle B = 90^{\circ}. Suppose that point D lies on segment BC such that angle BAD = \angle CAD, and suppose that point E lies on segment AC such that angle EDA = 60^{\circ}. Given that AD = AC and that CE = 17, find BD.
<read more ..

BlackoutMiIkshake Oct 21, 2025

Oct 20, 2025

0

2

2

+104

Math

A number is chosen at random from among all 9-digit numbers that use each of the digits 1 through 9 exactly once. What is the probability that this number is a multiple of 2?

BlackoutMiIkshake Oct 20, 2025

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+104

Math

Three squares of a 5 \times 5 grid are colored. Two colorings are conisdered equivalent if one coloring can be rotated to form the other coloring, such as the two colorings below, and the grid can be reflected as well. We also want the three read more ..

BlackoutMiIkshake Oct 20, 2025

0

2

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+104

Math

Selma multiplies the number 9 the two-digit number \overline{AB}, and the three-digit number \overline{CDE}. She finds that the product of all three numbers is the five-digit number 41409. Compute the sum \overline{AB} + \overline{CDE}. read more ..

BlackoutMiIkshake Oct 20, 2025

0

3

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+104

Math

Given a positive integer N, a multiplication decomposition of N is a sequence of positive integers (d_1, d_2, \dots, d_k) such that
* d_1 \neq 1,
* d_i divides d_{i + 1} for 1 \le i \le k - 1, and
* d_1 d_2 \dotsm d_k = N.
The last read more ..

BlackoutMiIkshake Oct 20, 2025

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+104

Math

A traffic light runs repeatedly through the following cycle: green for 40 seconds, then yellow for 5 seconds, then red for 35 seconds, which repeats indefinitely. Oliver picks a random time and watches the light for 75 seconds. What is the probability read more ..

BlackoutMiIkshake Oct 20, 2025

0

3

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+104

Math

Consider a cube with side length 1, together with 14 congruent spheres each of radius r, with 8 of the spheres centered at the 8 vertices of the cube and the remaining $6$ spheres centered at the centers of the $6$ faces of the cube. Suppose $r$ is chosen read more ..

BlackoutMiIkshake Oct 20, 2025

Oct 18, 2025

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+104

Math

What is the units digit of 1^1 + 2^2 + 3^4 + 4^8?

BlackoutMiIkshake Oct 18, 2025

0

4

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+104

Math

A square has two of its vertices at (12, 34) and (-98, 56),$ and another vertex at (a, b). What is the sum of all possible values of the area of the square?

BlackoutMiIkshake Oct 18, 2025

Oct 17, 2025

0

3

1

+104

Math

At Patty the panda's pizza parlor, the possible pizza toppings are pesto, pepperoni, peppers, and pineapple, and the possible desserts are pumpkin pie, powdered-sugar pretzels, and papaya popsicles. If Prajwal the porcupine, Petunia the peacock, and Pete read more ..

BlackoutMiIkshake Oct 17, 2025

0

2

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+104

Math

In a rectangular prism, the surface area is 24 and the sum of the lengths of all twelve edges is 24. What is the volume of the prism?

BlackoutMiIkshake Oct 17, 2025

0

2

1

+104

Math

For how many prime numbers p less than 100 is the sum of p's digits less than or equal to 2?

BlackoutMiIkshake Oct 17, 2025

0

3

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+104

Math

In the game Nerdle, a player tries to guess a true equation made up of $8$ symbols, each of which is either $+,$ $-,$ $*,$ $/,$ $=,$ or one of the digits from $0$ to $9.$ A square turns teal if the symbol is correct and in the correct location, magenta read more ..

BlackoutMiIkshake Oct 17, 2025

0

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+104

Math

Define the importance of a point (x, y) on the coordinate plane to be x^2 + y^2. There exist some points with positive, integer $x$- and $y$-coordinates whose importances are 5. Find the area of the convex polygon determined by those points.

BlackoutMiIkshake Oct 17, 2025

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+104

Math

A set of 16 positive integers has mean, median, and unique mode all equal to 5. What is the largest possible value of one of the numbers in the set?

BlackoutMiIkshake Oct 17, 2025

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+104

Math

Haoyu gives Mingze and Yihan two different positive integers, and tells them that the product of their numbers is less than 1000. They are also aware that they have two different positive integers. They have the following conversation:
Mingze: read more ..

BlackoutMiIkshake Oct 17, 2025

0

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+104

Math

Sunita and Mohammed play a game where they start with a pile of candy and take turns eating a prime number of pieces of candy from the pile. A player who leaves 0 or 1 candies in the pile after their move wins. If Sunita and Mohammed both play perfectly read more ..

BlackoutMiIkshake Oct 17, 2025

0

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+104

Math

The shaded region below has area a+b\pi where a and b are positive integers. What is a+b? (You may assume the boundary of each region is made up of straight lines and circular arcs, and the squares of the grid have side length $1.$) read more ..

BlackoutMiIkshake Oct 17, 2025

0

2

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+104

Math

Jason is driving from his home to his office, which is 20 miles away. He normally drives at a constant speed of 60 miles per hour for the whole trip. However today, 15 minutes into his drive, his car breaks down. He calls a taxi, and it arrives 20 minutes read more ..

BlackoutMiIkshake Oct 17, 2025

Oct 16, 2025

0

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+850

Math

In triangle $ABC$, points $D$ and $F$ are on $\overline{AB},$ and $E$ is on $\overline{AC}$ such that $\overline{DE}\parallel \overline{BC}$ and $\overline{EF}\parallel \overline{CD}$. If $CE =3$ and $DF = 3$, then what is $BD$?

cooIcooIcooI17 Oct 16, 2025

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