Latest word problems
Discover the latest math problems and word problems designed to deepen your understanding of mathematics. Solutions are explained simply and clearly so that everyone can follow along. Regular practice is the best way to succeed at school and in entrance exams. New problems are added every day — come back and practice more.Number of problems found: 97
- Reading newspaper
40% of people read newspaper X, 50% read newspaper Y, and 10% read both newspapers. What percentage of people read neither newspaper? - Inflation again
If the price of a commodity increases by 85%, by what percentage should consumption be reduced so that spending increases by only 48%? - Carnival
Kevin is going to a carnival that has games and rides. Each game costs $1.50 and each ride costs $3.00. Kevin spent $18 altogether, and the number of games he played is 4 times the number of rides he went on. Write a system of equations that could be used - A race 2
In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, by how many metres will C beat B? - Two sons and man
A man's age is three times the sum of the ages of his two sons. After five years, his age will be twice the sum of the ages of his two sons. Find the man's current age. - Two terms and d
The 8th term of an arithmetic progression is 17 and its 14th term is 29. Find the common difference. - Motorboat : current
The ratio of the speed of a motorboat to that of the current is 36:5. The motorboat travels downstream in 5 hours and 10 minutes. Find the time for the motorboat to return upstream. - Father and son
The age of a father is 5 times the age of his son. After 10 years, the age of the father will be 3 times the age of the son. Find the present age of both of them. - Walking speeding
Susan walks from her home to work at 16 km/h and arrives 5 minutes late. If she walks at 20 km/h, she arrives 10 minutes early. Find the distance from her home to her workplace. - Common work 2
Person A works twice as fast as person B. If both of them together can finish a piece of work in 12 days, how many days would person B alone take to do it? - Amusement park.
A group of friends wants to go to the amusement park. They have $311.50 to spend on parking and admission. Parking costs $16.75, and tickets cost $32.75 per person including tax. Write and solve an equation to determine the number of people who can go to - Soccer team trip
Members of a soccer team raised $1,210.50 to go to a tournament. They rented a bus for $769.50 and budgeted $31.50 per player for meals. Using an equation or tape diagram, find the number of players the team can bring to the tournament. - 20% percentage If 20% of A = 50% of B, what percentage of A is B?
- Three legs journey
A train runs for 3 hours at 40 km/h and then for 4.5 hours at 60 km/h, covering 3/5 of the total distance. It needs to cover the remaining distance in 4 hours. Find the average speed required for the remaining distance. - ABCD rhombus
ABCD is a rhombus with sides of 10.5 cm. If the length of diagonal AC = 15.8 cm, use the cosine rule to: a. calculate the length of diagonal BD to the nearest centimetre, b. find the angles of the rhombus to the nearest degree. - Convert 8
Convert 5,775 ÷ 16 into a mixed fraction. - A river
A river flows at a speed of 5 km/h. A man can swim at 20 km/h in still water. The man starts swimming from A to B, a distance of 30 km. After reaching B, the man turns back and stops at point A. Find the total time for the round trip. - Spherical sector - parameters
Find the volume and surface area of a spherical sector whose base has a height of 8 cm, drawn on a sphere with a diameter of 36 cm. - Recipical fraction
Calculate 5/9 divided by 8/5. Also state the reciprocal of the result. - Insert two > GP
If 4, 36, 324 are in a geometric progression, insert two more numbers into this progression so that it still forms a geometric progression.
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