Maths practice for 14 year olds - page 6 of 369
Number of problems found: 7365
- Monthly income
There are three working people - X, Y, Z. The average monthly income of X and Y is 5050 USD.The average monthly income of Y and Z is 6250 USD, and the average monthly income of X and Z is 5200 USD. What is monthly income of X?
- Common work
39 men can repair a road in 12 days working 5 hours a day. How many days will be required to complete the work by 30 men working 6 hours a day?
- Big school 2
The ratio of the number of boys to the number of girls in a school of 450 pupil is 4 : 5 . When some new boys and girls are admitted, the number of boys increases by 25 and ratio of boys and girls changes to 9 : 13 . Calculate the number of new girls admi
- Worker 25
Worker A can do 2/3 of a certain work in 12 days and B can do 1/6 of the same work in 4 days, Find in how many days will they together complete the work?
- Three workers 7
The daily wages of workers A, B and C are in the ratio 7:6:10. If C earns 80 EUR per day; find the per day earnings of A and B.
- 5 years
5 years ago the age of a father was thrice the age of his son. In 5 years time, the age of the father will be twice the age of his son at that time. Find their present ages.
- Money exchange
A told B, "If you give me 1/3 of your money I'll be 50 USD". In turn B told A, " If you give me 9 USD then we'll be the same amount of money". Find their money.
- 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?
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