Maths practice for 14 year olds - page 15 of 368

Number of problems found: 7360

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.
A journey - 2 parts
A part of journey is covered in 1 h 40 min at 75 km/h and the remaining part of it is covered in 2 h 50 min at 60 km/h. Find the total length of the journey and average speed.
Parallelogram - right angles
In parallelogram ABCD; AB = 16 cm, BC = 12 cm and diagonal AC = 20 cm. Find the area of the parallelogram.
Single discount from three
Find a single discount equivalent to successive discounts of 10%, 20%, and then 20%.
Vertical axis
Find the perpendicular distance of the point A=(5,-7) from the y-axis.
The reflection law
AB is a mirror, PQ is the incident ray, and QR is the reflected ray. If angle PQR = 112°, find angle PQA.
Complement and supplement
Find the measure of an angle if 7 times its complement is 10° less than 3 times its supplement.
The hypotenuse
The hypotenuse of a right-angled triangle is 20 meters. If the difference between the lengths of the other sides is 4 meters, find the other sides.
An electrician 7
An electrician has to repair an electric fault on a pole 4 meters in height. He needs to reach a point 1 m below the top. What should be the length of the ladder that he could use, when inclined at an angle 60° to the horizontal?
Two discounts 2
A shirt printed with a price of EUR 150 is sold for EUR 105 after two successive discounts. If the second discount is 12.5%, then find the first discount.
Two numbers 18
The two numbers are respectively 10% and 25% more than the third figure. What percent is the first of the second?
Cylinders and cube
How many cylinders of radius 20 cms and height 0.7 metres can be formed by melting a cube of 2.2 metres sides?

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