Math Word Problems

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.

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.