Maths practice for 14 year olds - page 2 of 371
Number of problems found: 7402
- Alcohol mixture 3
A mixture contains alcohol and water in the ratio 4:3. If 7 liters of water is added, the ratio of alcohol and 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 for $5 less, he would have gained 25%. Find the cost price of the article. - A train 7
A train overtakes two persons. They are walking in the same direction as the train at the rate of 2 km/hr and 4 km/hr. The train passes 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 that the person should have? - A train 6
A train covers a distance 10km, 20km, and 30km in 50 kmph, 60 kmph and 90 kmph respectively. Find the average speed of the train (in km/h). - A pie 16
A pie is divided into 100 guests. Guest 1 gets 1%, guest 2 gets 2% of what left,... and so on. Who gets the largest piece of pie? - The surface 5
The surface area of a cylinder is 6140 cm², and the radius is 25 cm. What is the height? - A building
A building has a height of 125 meters and a length of 80 meters. On a scale drawing of the building, the height of 25 centimeters. What is the length of the building on the scale drawing in centimeters? - A watch
If a watch is sold at 60 USD, there is a loss of 15%, for a profit of 2%, the watch is to be sold at how many USD? - Two types of ore
A total of 42 tons of two types of ore is to be added into a smelter. The first type contains 6% copper and the other contains 2.5% copper. Find the necessary amounts of each ore to produce 2 tons of copper. - The average 19
The average age of a class was 15 years. When 5 boys whose average age was 12 years 6 months were admitted in the class, the average was reduced by 6 months. How many students were there in the class originally? - The Earth and Moon
The diameter of the Moon is approximately 1/4 of the diameter of the Earth. What fraction of the volume of the Earth is the volume of the Moon? - The shadow 2
The shadow of a tower standing on a level ground is found to be 40 m longer when the Sun’s altitude is 30° than when it is 60°. Find the height of the tower. - Journey trip
A man performs 2/15 of the total journey by rail, 9/20 by bus and the remaining 10 km, on the cycle. What is his total journey? - Salaries - ratio3
The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries? - Goods train A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?
- Beeps
An electronic device makes a beep after every 60 sec. Another device makes a beep after every 62 sec. They beeped together at 10 a.m. The next time, when they will beep together at the earliest? - A person 2
A person has 2 parents, 4 grandparents, 8 great grandparents, and so on. Find the number of his ancestors during the ten generations preceding his own. - Angle over circle
In the figure, O is the center of the circle and AB is tangent at B. If angle OAB is 28 degrees find angle AOB. Figure is not scaled.
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