Maths practice for 14 year olds - page 15 of 371

Number of problems found: 7407

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?
37 pens
Thirty-seven pens and 53 pencils together cost 95.5 USD, while 53 pens and 37 pencils together cost 111.5 USD. Find the cost of a pen and a pencil.
The price 8
The price of a commodity has decreased by 10%. What is the percentage by which it should then be increased to get the original price?
Petrol, fuel
In a car meter shows that it has kept oil 1/5 of its fuel capacity. When 22 liters of petrol is filled the meter went on 3/4 of its capacity. Find the capacity of the car.
Three numbers
In three numbers, the first number is double the second number, and the second number is double the third. The average of the numbers is 21. Find the least number.

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