Maths practice for 14 year olds - page 15 of 379
Number of problems found: 7575
- 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. - An equilateral triangle 2
If the sides of an equilateral triangle are increased by 2 meters, the area is increased by 7√3 square meters. Find the length of the side. - 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. - HCF and LCM equation
The LCM of two numbers is 20 times their HCF and (LCM+HCF)=2520. If one number is 480, what will be the triple of another number? - Family members
Three years ago, the average age of a family of five members was 27. The present average age is also 27 after a child is included in the family. Find the age of the child. - The rice 2
60 kg of a certain variety of rice at Rs 32 per kg is mixed with 48 kg of another variety of rice, and the mixture is sold at the average price of Rs 28 per kg. If there is no profit or loss due to the new sale price, then find the price of the second var - The expenses
The expenses on rice, fish and oil of a family are in the ratio 12:17:3.The prices of these articles are increased by 20%, 30% and 50% respectively. Find the total increased percent.
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