Maths practice for 14 year olds - page 7 of 376
Number of problems found: 7519
- Square lawn
A square lawn has a 2 m wide path surrounding it. If the area of the path is 136 square meters, find the area of the lawn. - System of equations
Solve the following system of equations: 2x-5y=4 5x-3y=4 - Adam reaches
If Adam walks at 3 km/h, he will reach school 15 minutes late. If he walks at 4 km/h (kmph), he will reach school 15 minutes earlier than usual. What is the distance between school and house? - Common difference
What is the common difference of an AP (arithmetic progression) in which a₁₈ – a₁₄ = 32 - Two trains 13
Two trains start at the same time toward each other from stations A and B at respective speeds of 36 km/h and 42 km/h. When they meet, it was found that one train has covered 48 km more than the other. Find the distance between the two stations. - Equation of a line
Find the equation of a line that passes through (1, 3) and is parallel to the line y = - 2x + 4. - Milk with water 2
If 50 liters of a mixture contains milk and water in a ratio of 3:2, how much milk must be added to the mixture to have milk and water in a ratio of 9:4?
- Difference of squares
If the difference between two numbers is 3 and the difference of their squares is 39, then find the larger number. - Literacy ratio
The town's population is 311250. The ratio of women to men is 43: 40. If 24% of men and 8% of women are literate, then find the total number of literate persons in the town. - The vertices
The vertices of a triangle are A (-1,3), B (1,-1), and C (5, 1). Find the length of the median through the vertex C. - Fraction of a work
Person A can do 1/2 of a piece of work in 8 days, while person B can do 1/3 of the same work in 8 days. In how many days can both do it together? - Customer 7
The customer needs a discount of 30% on the marked price. The dealer gives him two successive discounts of 20% and 12%. The discount was: (1) more than he wants (2) same as he wants (3) less than he wants (4) none of these Write the result in numbers 1 to - Three cubes
Three cubes of iron whose edges are 6 cm, 8 cm, and 10 cm, respectively, are melted and formed into a single cube. Find the edge of the new cube. - Selling cloth
By selling 33 m of cloth, a shopkeeper loses an amount equal to the selling price of 3 m of cloth. Find his gain or loss percentage. - In football
In football, the path that a defender must run to tackle the ball carrier is called the path of pursuit. If the ball carrier runs 40 yards to the end zone and the path of pursuit is 45 yards; how far apart were the ball carrier and defender when they star
- Cement, sand, and gravel
Concrete tiles are made using buckets of cement, sand, and gravel mixed in a ratio of 1:4:6. How many buckets of gravel are needed for 4 buckets of cement? - Two men
Two men earn in the ratio 5 : 3 and expend in the ratio 9: 5. If each saves 30000 USD every year, find their income. - The Product 16
The Product of two numbers is 96, and their quotient is 6. Find the numbers. - An iron rod
If 22.5 meters of a uniform iron rod weighs 85.5 kg, what will the length of 22.8 kilograms of the same rod? - 4th digit
Write a digit in place of X so that 85X634 is divisible by 11.
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