Maths practice for 14 year olds - page 6 of 379
Number of problems found: 7575
- Grassland and goat
An unfenced grassland is a right triangle ABC with AB = 4m, BC = 8m, and AC as hypotenuse. A goat is tied to a 5-m long rope with its stake at point O, which is 2m from side AB and 2m from the prolongation of side BC through corner B. Then: 1. How far is - The rates
The rates of working of A and B are in the ratio 3 : 4. What is the ratio of the number of days taken by them to finish the work? - The sum 50
The sum of five consecutive integers is 385. Which one of these five integers is prime? - One ticket 2
In a lottery, 10000 tickets are sold and ten prizes are awarded. What is the probability of not getting a prize, if you buy one ticket? - Four legs of journey
A car driver covers a distance between two cities at a speed of 60 kmph and on the return, his speed is 40 kmph. He goes again from the first to the second city at twice the original speed and returns at half the original return speed. Find his average sp - Work in factory 45 men can complete a work in 16 days, but after some days they started working 30 more men joined them and completed the remaining work in 6 days. How many days after the commencement of the job did 30 men join?
- Palidrom A number consists of two digits whose product is 24. When 18 is subtracted from the number, the digits change their places. Find the number.
- Reciprocals - sum
The sum of the two numbers is 15. If the sum of their reciprocals is 5/18, find the numbers. - Long train
A 110 m long train crosses a tree in 3 s. How long will it take to cross a 165 m long platform and 135 m long bridge, If the platform and bridge are at a distance of 30 m? - Clock error
How much does a watch lose per day, if its hands coincide every 64 minutes? - The areas
The areas of two similar triangles are 12 sq cm and 48 sq cm. If the height of the smaller one is 2.1 cm, then find the height of the bigger one. - Rhombus tiles
The floor of a building consists of 3000 rhombus-shaped tiles, and each of its diagonals is 45 cm and 30 cm in length. Find the cost of polishing the floor at the rate of $4 per square meter. - A shopkeeper 7
A shopkeeper bought 80 cricket bats for 2.55 euros each. He sells 20 of them at a 5% gain. What must be the gain percentage of the remaining bats to get a 10% gain overall? - An article
An article is sold at 20% profit. If it were sold at a 25% profit, then he could get USD 35 more. Then, find the article's cost price. - Twice a number If 73 is one more than twice a number, what is 50% of the number?
- Twins 2
The average age of a man and his two twin sons is 30 years. The ratio of the ages of father and one son is 5 : 2, what is the father's age? - At present At present, Ram is eight years younger than Susan, and Hari is two years younger. If the respective ratio between the present age of Ram and that of Hari is 3: 4, then what is Hari's present age?
- Compound continuously
Find the balance in the account after 10 years. P= $1900; r= 6% Compound continuously. - Incircle to circumcircle
Find the ratio of the areas of the incircle and the circumcircle of a square. - Avg speed 2
A car covers four successive 3 km stretches at 10 kmph, 20 kmph, 30 kmph, and 60 kmph, respectively. What is the average speed over this distance?
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