Maths practice for 14 year olds - page 9 of 369
Number of problems found: 7365
- Average age 4
The average age of 31 people in a group is 19. If one person is reduced to 18, the average age becomes 18. Find the age of the reducing person. - One-third 18
One-third of a certain journey was covered at the speed of 20 km/h, one-fourth at 30 km/h, and the rest at the speed of 50 km/h. Find the average speed of the whole journey. - Revolving to cone
A triangle whose sides are 20 cm, 16 cm, and 12 cm is revolving around its greatest side as axis. What is the volume space it generates after a full revolution in cubic centimeters? - Hands of a clock
At what time between 11 and 12 O'clock will the hands of a clock be at an angle of 180°? - Football and cricket
In a school 40% of the students play football and 50% play cricket. If 18% of the students neither play football nor cricket, then find the percentage of the students playing both. - A man 23
A man standing on the deck of a ship, which is 10 m above the water level, observes the angle of elevation of the top of a hill as 60°, and angle of depression of the base of the hill is 30°. Find the distance of the hill from the ship and the height of t - Play with mean
The sum of few numbers is 450 and their mean is 50 and if another number 100 is included, the mean would be? - A boat 3
A boat takes 1 hour longer to go 36 km up a river than to return. If the river flows at 3 km/h, find the rate at which the boat travels in still water. - Quadrilateral angles in AP
The four angles of a quadrilateral form an arithmetic progression. If the common difference is 15°, then find all the angles. - Of three
Of three positive numbers the product of the first and second is 42, second and third is 56 and that of third and first is 48. Find the third number. - Big cities
City A has a population of 136000 which is decreasing at the rate of 2400/yr. City B has a population of 84000 which is increasing at the rate of 1600/yr.In how years will the population of two cities become equal? - Milk bottles
A container of milk was 4/5 full. When 12 bottles of milk were taken out and 8 bottles of milk poured into it, it was 3/4 full.How many bottles of milk can the container contain? - Full-tank
A full-tank of petrol a car lasts for 10 days. If driver starts using 25% more everyday, how many days will the full-tank petrol last? - A recycling
A recycling bin contained 40 pounds of plastic in October and 50 pounds of plastic in November. By what percentage did the amount of plastic increase from October to November? - Automobil
The car traveled three quarters of the total journey at a speed of 90 km/h and the remaining part of the journey at a speed of 50 km/h. Find its average speed. - The dimensions
The dimensions of a rectangular piece of paper are 22 cm × 14 cm. It is rolled once across the breadth and once across the length to form right circular cylinders of biggest possible surface area. Find the difference in volumes of the two cylinders that w - Consecutive odd nums
Sum of four consecutive odd numbers is 40. Find the numbers. - The common difference 2
Find the common difference of an arithmetic progression (AP), whose first term is 5 and sum of its first 4 terms is half the sum of the next four terms. - Split 207 Split number 207 into three parts such that these are in the arithmetic progression (AP) and the product of two smaller parts is 4623.
- Spheres to cone
Two solid spheres of radii 2 cm and 4 cm are melted and recast into a cone of height 8 cm. Find the radius of the cone so formed.
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