Maths practice for 14 year olds - page 2 of 362
Number of problems found: 7238
- Velocity ratio 2
The ratio of the walking speeds of A and B is 2:3. If B takes 36 minutes to cover a certain distance, how long does it take A? - Triangle 97
Triangle DEF with angle Ê = 40°, angle F = 90°, EF = 45 mm. Find the length of DE. - Cycloshop
On increasing the price of a bicycle by 14%, it becomes Rs 1,425. What was its original price? - Daughter and Mom
A mother is seven times as old as her daughter. In 7 years' time, she will be five times as old as her daughter. How old is each of them? - Equilateral RT
In a right triangle, leg a = 12 and leg b = 12. What is the hypotenuse c? - Angle of elevation 3
The angle of elevation of a pole from a point on the horizontal ground is 15°. After moving 10 m closer to the pole, the angle of elevation becomes 30°. What is the height of the pole? - Four plates
Four equal maximum-sized circular plates are cut from a square sheet of paper with an area of 784 cm². Calculate the circumference of each plate. - Building shadow
When the Sun's altitude is 30° above the horizontal, find the length of the shadow cast by a 50 m high building. - Journey 9
A person covers half of his journey at 40 km/h and the remaining half at 20 km/h. Find his average speed for the whole journey. - Lamp shade
A lampshade is in the form of a frustum of a cone with a slant height of 7 inches and base radii of 3 inches and 7 inches respectively. How much material is used in its construction if 1/4 inch is allowed for the seam? - Area + perimeter TR2
Find the area of a triangle, two sides of which are 8 cm and 11 cm and whose perimeter is 32 cm. - Three in a ratio
If A is 40% more than B, and B is 20% less than C, find the ratio A:C. - School - boys:girls
In a school, 10% of the boys is equal to 1/4 of the number of girls, and 10% of the number of girls is equal to 1/25 of the boys. Find the ratio of the number of boys to girls. - Mother and daughter 6 A mother is six times as old as her daughter. In 6 years' time, she will be four times as old as her daughter. How old is each of them?
- A solid
A solid consists of a cone standing on a hemisphere, both with equal radii of 1 cm, and the height of the cone equals its radius. Find the volume of the solid. - Alcohol mixture 3
A mixture contains alcohol and water in the ratio 4:3. If 7 litres of water are added, the ratio of alcohol to water becomes 3:4. Find the quantity of alcohol in the mixture. - Equation of the line
Find the equation of the line through (1, 2) with slope 3. - The profit 6
A man sells an article at a profit of 20%. If he had bought it at 20% less and sold it for $5 less, he would have gained 25%. Find the cost price of the article. - A train 7
A train overtakes two persons walking in the same direction as the train at speeds of 2 km/h and 4 km/h. The train passes each of them completely in 9 and 10 seconds respectively. Find the length of the train. - A person 3
A person distributes his pens among four friends A, B, C, and D in the ratio 1/3 : 1/4 : 1/5 : 1/6. What is the minimum number of pens the person should have?
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