Maths practice for 14 year olds - page 2 of 371

Number of problems found: 7411

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.
Angle of inclination
Find the angle of inclination of a ramp that rise for 80 cm and is 200 cm long.
The average age
The average age of 5 members of a committee is the same as it was 3 years ago. Because an old member has been replaced by a new. Find the difference between the ages of old and new member.
Digits sum
A two digit number is 3 times the sum of its digits. If 45 is added to the number, its digits are interchanged. Find the sum of the digits of the number.
Salary up and down
After reducing the salary of a man by 50%, it is increased by 50%. Find the loss or gain percent.
The sum 52
The sum of digits of a two digits number is 10. On interchanging the digit, the number obtained is 54 less than the original number. What is the original number?
Tower + pole
On the horizontal plane, there is a vertical tower with a flag pole on its top. At a point 9 m away from the foot if the tower, the angle of elevation of the top and bottom of the flag pole are 60°and 30° respectively. Find the height of the flag pole.
The ratio 21
The ratio between the number of sides of two regular polygon is 1:2 and ratio of sum of their interior angles is 2:3. Find their number of sides.

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