Maths practice for 14 year olds - page 4 of 367

Number of problems found: 7329

Tower + pole
On horizontal ground, there is a vertical tower with a flagpole on its top. From a point 9 m from the foot of the tower, the angles of elevation of the top and bottom of the flagpole are 60° and 30° respectively. Find the height of the flagpole.
The ratio 21
The ratio of the number of sides of two regular polygons is 1:2 and the ratio of the sum of their interior angles is 2:3. Find the number of sides of each polygon.
Correcting mean
The average of 10 numbers is calculated as 25. It is later discovered that while calculating the average, the number 36 was wrongly read as 56. Find the correct average.
The ages 3
The ages of A and B are in the ratio 5:4. Three years from now, the ratio of their ages will be 11:9. What is B's present age?
A rectangle 15
A rectangle is 5 cm longer than its width. Its area is 6 cm². What are the dimensions of the rectangle?
Rhombus = area, diagonal
The area of a rhombus is 144 cm². One diagonal is twice the length of the other. How long is the shorter diagonal?
Train station
A man walks from his house to the station. If he walks at 5 km/h, he misses a train by 7 minutes. However, if he walks at 6 km/h, he reaches the station 5 minutes before the train departs. Find the distance from his house to the station.
The rhombus (a,d)
Find the area of a rhombus, one side of which measures 20 cm and one diagonal of which is 24 cm.
Two masons
Mason A can build a wall in 30 days, while Mason B can build it in 40 days. If they build it together and receive a payment of $7,000, what is B's share?
128 USD
$128 is increased by 20%. Determine the new amount.
A tree 3
A tree breaks due to a storm and the broken part bends so that the top of the tree touches the ground at an angle of 30°. The distance from the foot of the tree to the point where the top touches the ground is 8 m. Find the original height of the tree.
Doubling - simple interest
A sum of money doubles in 10 years at simple interest. Find the annual interest rate.
The length 20
The length and width of a rectangular park are in the ratio 8:5. A path 1.5 m wide, running all around the outside of the park, has an area of 594 m². Find the dimensions of the park.
The average 17
The average monthly salary of 20 workers in an office is $4,590. If the manager's salary is added, the average salary becomes $4,920 per month. What is the manager's monthly salary?
The product 18
The product of two consecutive natural numbers that are multiples of 3 is 810. Find the two numbers.
Four numbers 3
What is the smallest number that must be added to each of the numbers 6, 15, 20, and 43 to make them proportional?
Surface = volume
If the volume and the surface area of a sphere are numerically equal, find its radius.
Blue region
Find the area of the blue region shown in the picture.
Collecting money
Rs 180 is contained in a box in one-rupee, 50-paise, and 25-paise coins in the ratio 2:3:4. What is the number of 50-paise coins? (One rupee = 100 paise)
Working group
20 men complete one third of a piece of work in 20 days. How many additional men should be employed to finish the rest of the work in 25 more days?

Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.