Math Word Problems

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Questions and Answers

How much money will the friend who earned $40 give to the others if they decide to split their earnings equally?

$20 (correct)

$10

$15

$25

If Carrie's garden measures 4 feet by 5 feet and she plants 3 strawberry plants per square foot, how many strawberries can she expect to harvest if each plant yields 2 strawberries?

60 strawberries (correct)

30 strawberries

40 strawberries

50 strawberries

With the given pattern, if the first hexagon has 6 dots, how many dots will be in the next hexagon?

7 dots

9 dots

8 dots (correct)

10 dots

If three fourths of a pitcher is filled with pineapple juice, pouring it equally into 4 cups results in what percent of the total capacity of the pitcher being filled in each cup?

20% Signup and view all the answers

Given the seating arrangement of the five friends on the train, who is seated in the middle car?

Karen Signup and view all the answers

How many integers between 1000 and 9999 have four distinct digits arranged in increasing order?

210 Signup and view all the answers

What is the difference in cents between the greatest possible and least possible amounts of money Ricardo can have if he has 10 coins?

8 cents Signup and view all the answers

What mathematical concept is being illustrated with the factorial notation $n!$?

Product of integers from 1 to n Signup and view all the answers

If Jamal has a chance of $rac{3}{5}$ of randomly selecting a purple sock, what does this imply about the total number of socks?

The number of purple socks is more than half of the total Signup and view all the answers

In a situation where a rectangle is inscribed in a semicircle, what does the height of the rectangle depend on?

The radius of the semicircle Signup and view all the answers

What key feature defines a flippy number?

Its digits alternate between two distinct digits Signup and view all the answers

What is a significant characteristic of the game board described?

The squares alternate in color Signup and view all the answers

In finding the total population of cities given their average, what other information is essential?

Number of cities Signup and view all the answers

When considering the factors of a number, what property must a number have to exceed a certain count of these factors?

Being a perfect square Signup and view all the answers

What would be a potential outcome of repeatedly feeding a certain integer into a machine given a specific calculation rule?

The output will eventually stabilize Signup and view all the answers

In a scenario where tiles cover an area of a larger square region, what must be true for the ratio of covered area to total area?

Ratio can't exceed one Signup and view all the answers

When distributing five different awards to three students, what condition must be met?

Only one student can receive two awards Signup and view all the answers

Study Notes

Problem 1

Luka's lemonade recipe requires water in a specific ratio to sugar and lemon juice.
He uses 3 cups of lemon juice.
The recipe specifies water is times sugar, and sugar is twice lemon juice.
Calculate the amount of water needed.

Problem 2

Four friends earned different amounts: , , and .
They will split their earnings equally.
Calculate the amount the friend who earned will contribute to the others.

Problem 3

Carrie's rectangular garden is 10 feet by 6 feet.
She plants strawberry plants at a density of 2 plants/square foot.
The average yield per plant is 20 strawberries.
Calculate the total expected harvest.

Problem 4

Hexagons have increasing numbers of dot bands.
Calculation of dot count in the next hexagon, based on the pattern of increase in dots over hexagons.

Problem 5

A pitcher is filled with pineapple juice.
The juice is poured equally into 4 cups.
Calculate the percentage of the pitcher's capacity each cup receives.

Problem 6

Five students (Aaron, Darren, Karen, Maren, Sharon) sit in a 5-car train.
Maren sits in the last car.
Aaron sits directly behind Sharon.
Darren sits in a car ahead of Aaron.
Karen sits with at least one person between her and Darren.
Determine the student in the middle car.

Problem 7

Find integers between 1000 and 9999.
The digits are in increasing order.
Count the integers fulfilling the conditions.

Problem 8

Ricardo has 10 coins (pennies and nickels).
Minimum and maximum amounts given constraints (at least 1 penny, 1 nickel).
Calculate the difference (in cents) between these.

Problem 9

A 4-inch cube cake is cut into 1-inch cubes.
Icing is on the top and 4 sides.
Determine the number of cubes with icing on exactly two sides.

Problem 10

Zara has 4 marbles (Aggie, Bumblebee, Steelie, Tiger).
She wants to arrange them in a row without the Steelie and Tiger next to each other.
Calculate possible arrangements.

Problem 11

Maya and Naomi travel to the beach; distance is 15 miles.
Graph shows journeys (time and distance).
Calculate the difference in average speeds (miles per hour) between Maya and Naomi.

Problem 12

Factorial notation explained.
Solve for in a given equation involving factorials.

Problem 13

Jamal has green, purple, and orange socks.
He adds more purple socks.
Calculate the number of purple socks added based on the increased probability of selecting a purple sock.

Problem 14

Populations of Newton County cities are given in a bar chart.
Average population is given.
Approximate the total population of all cities.

Problem 15

Given fractional relationships between numbers, determine a percentage.
Calculate the percentage of a value based on the given ratios.

Problem 16

A diagram/figure with points representing digits (A-E).
Sums of digits along lines determine the value of B.
Find the unknown digit B based on the total sum of line sums.

Problem 17

Find factors of a number that have more than a given number of factors.
Determine factors of a specified number.

Problem 18

Rectangle and semicircle are described/illustrated.
Diameter and width are given.
Calculate the area of the rectangle.

Problem 19

"Flippy" numbers defined (digits alternate between two distinct digits).
Find five-digit flippy numbers divisible by 11.
Count the "flippy" numbers that meet the criteria.

Problem 20

Tree heights in a row are recorded.
Heights alternate as twice or half the previous.
Missing data points are to be calculated.
Calculate the average height of trees.

Problem 21

A grid with alternating black and white squares is defined.
A marker is placed on one square.
Determine the number of paths from one square to another (specific number of moves).

Problem 22

A machine computes output based on a function.
Repeated application of the function to various initial input values is described.
Find the sum of all starting values that lead to a specific final output after multiple iterations.

Problem 23

Five different awards are distributed among three students.
Each student receives at least one award.
Determine the number of ways to distribute awards based on the conditions.

Problem 24

A square region is paved with gray tiles.
A border surrounds each tile.
Given values for area covered by gray tiles, find the ratio.

Problem 25

Rectangles and squares are combined to form a larger rectangle.
Dimensions of larger rectangle are provided.
Determine the side length of a smaller square.

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Description

This quiz features a variety of math word problems that require calculations involving ratios, gardening yields, and sharing earnings. Each problem is designed to enhance your problem-solving skills and apply mathematical concepts in real-world scenarios.