Maths practice for 14 year olds - page 5 of 370

Number of problems found: 7388

A variable
A variable rectangle has a constant area of 35 cm². Find the lengths of the sides when the perimeter is minimum.
A ration
108 kg of ration is sufficient for 18 students for 15 days. Find, for how many students will 70 kg of ration be sufficient for 25 days?
Michael 9
Michael purchased an old scooter for Rs 12000 and spent Rs 2840 on its overhauling. Then he sold it to his friend Rs 13860 . How much per cent did he gain or lose?
Cash discount
Marked price of a mobile phone Rs 6000. The shopkeeper offers a discount of 5% on cash payment . If the VAT is 8%, find the amount the customer has to pay in cash to purchase the mobile phone.
A chord 2
A chord of length 16 cm is drawn in a circle of radius 10 cm. Calculate the distance of the chord from the center of the circle.
Isosceles triangle 17
One of the equal sides of an isosceles triangle is 13 cm and its perimeter is 50 cm. Find the area of the triangle.
Five men
5 men or 9 women can do a piece of work in 19 days, in how many days will 3 men and 6 women do it?
A business
Two people, A and B starts a businesses. A began a business with $ 21000 and is joined afterwards by B with $ 36000. After how many months did B join, if the profits at the end of the year are divided equally?
Children ratio
In a certain office 1/3 of the workers are women,1/2 of the women are married and 1/3 of the married women have children. If 3/4 of the men are married and 2/3 of the married men have children, what part of the workers is without children?
Scholarship 3
The ratio of number of boys to that of the girls in a school is 3:2. If 20% of boys and 25% of the girls are scholarship holders, find the percentage of those who are not scholarship holders?
A long train
A train passes a standing man in 6 sec and 210 m long platform in 16 s . Find the length and the speed of the train.
The profit 5
A man buys 12 pens for 60 eur and sells them at 5 pens for 30 euros. What is his profit percentage?
Shares
1300 USD are divided among A, B, C and D in such a way that: share of (A/B)=(B/C)=(C/D) = (2/3)
Spheres - ratios
The surface area of two spheres are in the ratio 1 : 4 . Find the ratio of their volumes.
Two class train
The ratio of first and second class train fares between two stations is 3:1 and that of the number of passengers travelling between these stations by first and second class is 1:50. If on a particular day USD 1325 be collected, then the amount collected f
The radius 3
The radius of a solid circular cylinder decreases by 20% and its height increases by 10% . Find the percentage change its : (a) volume (b) curved surface area.
Percent to number
If 75% of a number is 225, what is the number?
Three people
Three people - Peter, Quinton and Roland. 5 years ago, the average age of P and Q was 15 years. Present average age of P, Q and R is 20 years. Find the age of R after 10 years.
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?

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