Question The figure shown is composed of a triangle and a trapezoid and has perimeter 18. What is its total area? 21√3 / 4 23√

SolveQuestion Out of 404 students of Brilliant Language School, 192 learn German, 162 Spanish, and 122 French. Every student learns at

SolveQuestion We want to trace the entire figure shown, using these rules: You can start at any intersection on the figure You cannot l

SolveQuestion Dorian wants to build a rectangular-shaped house on a plot of circular land with radius 6. What is the largest possible a

SolveQuestion Anika is training for a running competition. At first, she jogs with a constant speed of 4 m/s. Then, for the last 60 m o

SolveQuestion You’re given four boxes, each containing three gold/silver coins as shown. You pick one box at random and remove on

SolveQuestion What is the largest number of statements below that can be simultaneously true? All the statements below this one are fal

SolveQuestion 512 small cubes are arranged into a larger 8×8 cube, and then the outside of the larger cube is painted. Some of the sma

SolveQuestion Bjorn holds two water balloons on a platform from 20 m high. As he throws one of the balloons straight down, the other on

SolveQuestion After a tennis match, the four players got their gear mixed up. Each player accidentally took the racket of one player an

SolveQuestion From which point should we support the pictured mobile to make it hang balanced? A B C D It isn’t possible to balan

SolveQuestion You have two large containers — one that holds 40 liters and the other that holds 56 liters. You’ve been t

SolveQuestion How many four-digit numbers can we create by rearranging digits of 2021? All four of the digits must be used exactly once

SolveQuestion You drop a stack of three balls. The bottom ball is the heaviest, with the middle ball much lighter and the top ball much

SolveQuestion Jaz makes circular necklaces by stringing black and gold beads together. She wants to count how many different necklaces

SolveQuestion At a university, the portraits of its 50 presidents line a hallway of the student center. Every year, 50 students pull th

SolveQuestion Your goal is to measure out 7 liters of water. You have one empty 12-liter container, and you may choose one other contai

SolveQuestion There are x regular polygons, all with n sides of length 1 arranged in a row as the triangles, squares, and pentagons are

SolveQuestion In a grassy field, a goat is tethered by a rope with length 6 to the corner of a rectangular shed with side lengths 4 and

SolveQuestion Look at the program above: Imagine running this program 21 times, with each of the integers from -10 to 10 as the

SolveQuestion Only one-digit numbers can start with a zero. If every letter corresponds to a different digit, what is A+B+C+D? 5 9 19 2

SolveQuestion The mobile shown is balanced. Karen is quite happy with her perfectly balanced mobile. Karen’s friend Juli i

SolveQuestion The yellow pentagon is inside of a rectangle. What is the yellow-shaded area? 52 68 72 74 80

SolveQuestion The outer figure is a square and the line from each vertex bisects its opposite side. What is the area of the central whi

SolveQuestion Alma, Baptiste, and Cadence equally share eighteen identical springs, and each person designs their own spring system for

SolveQuestion If the three elephants have equal weights, which elephant (or elephants) falls downward? Assume the pulley and rope weigh

SolveQuestion There is a three-digit code where only the digits 1 through 5 are possible. Each of the numbers shown has exactly one dig

SolveQuestion Wisely You have two empty containers: one that holds 6 liters and the other that holds 7.5 liters. completely fill a cont

SolveQuestion The factorial of n (written n!) is the product of every positive integer up to n. For example, 4! = 1 x 2 x 3 x 4 = 24. L

SolveQuestion The four puzzles pieces shown fit into the 4 x 4 grid without reflection or rotation. Based on these clues: No letter is

SolveQuestion In the triangles formed by intersecting lines, the gray angles are equal. Both the blue and yellow figures are squares. W

SolveQuestion dogs have a mean weight of 50 pounds. If two of the dogs’ weights are 220 pounds and 80 pounds, what is the largest

SolveQuestion You have one container that holds 8 liters and another that holds 12 liters. You can do any of the following: Completely

SolveQuestion Angles of the same color are identical. What is the measure of the blue angle? 10° 20° 30° 40° 50°

SolveQuestion A lune is an area formed by two circles. When two circles intersect, two lunes are formed: the non-intersecting portions

SolveQuestion What is the minimum number of colors required to fill the regions of this graph so that no two adjacent (sharing the same

SolveQuestion Angles of the same color have the same measure. What is the measure of the green angle? 2 4 5 6 8

SolveQuestion You have one container that holds 9 liters and another that holds 12 liters. The smaller container already has 4 liters o

SolveQuestion A three-legged creature has an unorganized sock drawer with 4 red socks, 6 blue socks, and 8 yellow socks. The creature r

SolveQuestion Three rectangles have areas of 72, 80, and 130. We arrange them so they overlap, as shown. What is the total shaded area?

SolveQuestion Using the rules below, you’d like to be able to trace the figure. You can start at any intersection point on the fi

SolveQuestion Lin, Malik, Nia, Ophelia, and Pradeep live on different streets in the same neighborhood. The following informatio

SolveQuestion All circles in the dartboard have the same center. Each circle has half the radius of the previous circle. The colors alt

SolveQuestion Two squares with side lengths 4 and 6 are arranged side by side. Which value is the closest to the area of the yellow reg

SolveQuestion Edgar and Beatrix are playing the “100” game, with the following rules: What is the measure of the green angl

SolveQuestion You have one container that holds 15 liters and another that holds 9 liters. The larger container already has 11 liters o

SolveQuestion Areas Each number inside a colored region is the area of that region. What is the value of x? 17 18 19 20

SolveQuestion The four puzzle pieces in the image fit into the 4×4 grid without rotation or reflection. Based on these clues, find

SolveQuestion The fuel used to propel spaceships can’t depend on atmospheric oxygen as a reactant, since they might not be operat

SolveQuestion Your twin leaves you on Earth and flies away at 0.8c0.8c0.8c, then turns around nearly instantaneously and returns at the

SolveQuestion Angles of the same color have the same measure. What is the measure of the green angle? 30° 35° 40° 45°

SolveQuestion A young mouse is weighing an important decision. The sound of human footsteps is approaching, and the mouse needs

SolveQuestion How many squares in this grid contain the orange square? 14, 18, 19, 55

SolveQuestion Each letter stands for a distinct digit, and if letters are different, so are the digits they represent. What digit is E?

SolveTwo trains, each traveling at a speed of are headed toward each other on the same track. At the exact moment the trains are apart,

SolveArt gallery problems involve finding an unmoving guard (or guards) who can “see” the entire gallery. A guard is able t

SolveCan Area Reveal Volume? Consider the two shapes inside the two identical cylinders whose radius is equal to its height.

SolveCan a 10 x 10 grid of cells be covered by 25 1 x 4 pieces?

SolveAll four Kings from a deck of cars are placed face down on a table in a random order. You select two of them, and if both are the

SolveA system of two symmetrical, identical, water-filled jars is fixed on a turntable. Each jar has a cork—attached to the bottom by

SolveQuestion Two of the following statements are true and the other one is false: This statement is true. The first statement is false

SolveTrue or False? The sum of two consective triangular numbers is always a square numbers!

SolveWhich string will break first? a. Horizontal String!, b. Vertical String!, c. Both will break at the same time

SolveIf a number n can be factored as a×b then n will appear in row a+b-1. For example the number 6 appears in row 1+6-1=6 but also ro

SolveNine consecutive integers are placed in the squares of a 3x3 grid. Every column, every row, and every diagonal add up to the same

SolveWhat time is it?

SolveAll four Kings from a deck of cards are placed face down on a table in a random order. You select two of them, and if both are the

SolveHow many quadrilaterals are drawn in this figure? Hint: Be sure to count both convex and concave quadrilaterals.

SolveA light ray emitted from a vertex of this isosceles triangle reflects 6 times before reaching another vertex. What is the total

SolvePlace the ten integers 2 through 11 into the ten squares such that the sum of the numbers in each 2x2 square is the same value, P.

SolveRegular hexagon patio blocks of area 1 are used to outline the garden shown, with n=5 blocks on each side placed edge to edge.

SolveAn ant named Honey is kept outside a solid cube on a leash, which extends to twice the side length of the cube. The leash can b

SolveWhat's the minimum number of straight cuts required to cut a circle into 7 regions of equal area? There are a number of ways t

SolveThe area of the whole rectangle is 160 and the area in red is 12. What is the area in green?

SolveSeven identical regular hexagons are arranged in a honeycomb pattern. If each hexagon has area 8, what is the area of the red tria

SolveMagnus, Garry, and Fabiano are playing in a badminton event. In this event, after two players face off for a set, the winner stays

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