Maths practice for 14 year olds - page 14 of 370

Number of problems found: 7392

Increase and decrease
A number is first increased by 20% and the resulting number is then decreased by 10%. Find the overall change in the number as percent.
Secondary 5
Secondary Middle School has 1200 students. Each student takes 5 classes a day. Each teacher teaches 4 classes. Each class has 30 students and 1 teacher. How many teachers are there at Secondary Middle School?
Smaller square
Let the points A, B, C and D are midpoints of the sides of the square PQRS. If the area of PQRS is 100 sq cm, what is the area of the smaller square ABCD?
A thief
A thief is spotted by a policeman from a distance of 100 metres. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8 km/hr and that of the policeman 10 km/hr . How far the thief will have run before he is ove
The price 9
The price of sugar is increased by 25%. Find by how much percent a family must reduce their consumption so that their expenditure may increase only by 10%.
Two parts of a run
Adam can cover a certain distance in 1 hour 24 min by covering two-thirds at 4 km/hr and the rest at 5 km/hr. Find the total distance.
Percentages 14
If 20% of a number is 40, what is 30% of the same number?
Bus vs train 2
The average speed of a bus is three-fourths the average speed of a train. The train covers 240 km in 12 hours. How much distance will the bus cover in 7 hours?
A boat
A boat covers 20 km in an hour downstream and covers the same distance in 2 hours upstream. Then, find the speed of the boat in still water and the speed of the stream.
Same expenses
If the price of tea increases by 20%, what percent must the consumption be reduced to keep the expense the same?
Girls and boys
In a class of 50 there are 23 girls and 27 boys, what percent are a. Girls b. boys
A fruit 4
A fruit seller had some apples. He sells 40% apples and still has 420 apples. How many apples originally he had?
An examination
In an examination 65% students passed in English and 56% in mathematics. And 25% failed in both the subjects. If 414 passed in both the subjects, then find the total number of students.
Three journeys
If a person covers three equal distances at the speed of 30 km/h, 15 km/h and 10 km/h respectively, then find out the average speed during the whole journey.
Visitors 2
Due to decrease in entry fees by 25% the presentation of visitors is increased by 30% . Find the effect of this on the total entry fee?
Two trains 9
A passenger train moving at a speed of 90 km/h leaves a station 6 hours after a goods (freight) train has left the station and overtakes it in 4 hours. What is the speed of the goods train?
Solve 26
Solve percentages question: 75 % of p = 225
Numbers at ratio 2
Two numbers are in the ratio 3:5. If each number is increased by 10, the ratio becomes 5:7. Find the sum of the numbers.
A parallelogram
The area of a parallelogram is 338 m². If its altitude is twice the corresponding base, find the base and the altitude.
AVR - three friends
$2250 is divided among three friends, Ajay, Vijay, and Raj, in such a way that 1/6th of Ajay's share, 1/4th of Vijay's share, and 2/5th of Raj's share is equal. Find Ajay's share.

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