Maths practice for 14 year olds - page 2 of 370

Number of problems found: 7398

Lamp shade
A lamp shade is in the form of a frustum of a cone with slant height 7 in., radii of bases 3 in. and 7 in. respectively. How much material is used in its construction if ¼ in. 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 the perimeter is 32 cm.
Three in a ratio
If A is 40% more than B, B is 20% less than C then, find the ratio A : C.
School - boys:girls
In a school 10% of boy is equal to the 1/4 of number of girls and 10% of the number of girls is equal to the 1/25 of boys. Find the ratio between the number of boys and girls.
Mother and daughter 6
A mother is six time 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 is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid .
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.

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