Maths practice for 14 year olds - page 7 of 379
Number of problems found: 7575
- Two men 2
Two men are on opposite sides of a tower. They measure the angles of elevation of the top of the tower as 30° and 45°, respectively. If the height of the tower is 50 m, find the distance between the two men. - Two trains 14
Two trains running in the same direction at 40kmph and 22kmph completely pass one another in 1 minute. If the length of the first train is 125m, find the length of the 2nd train. - The value
The value of the property decreases every year at the rate of 5%. If its present value is 411540 USD, what was its value three years ago? - 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. - RT with rectangle
In the diagram, find the lengths h and b. One rectangle and one right triangle share one side. We know two angles and the length of the common side, as shown in the picture. - 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 - Minimum interior angle
What is the minimum interior angle possible for a regular polygon? - 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
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