Maths practice for 14 year olds - page 6 of 367

Number of problems found: 7329

Sharing money 2
Ann and Betty shared a sum of money in the ratio 2:3, and Ann received $120. What is Betty's share?
A man 23
A man has some money. He gives 50% of it to his wife and 40% of the remainder to his daughter. He gives the rest to his son. If the son receives €12,000, how much did his wife receive?
Angle and slope
Find the angle between the x-axis and the line joining the points (3, −1) and (4, −2).
Angle of elevation
From a point A on the ground, the angle of elevation of the top of a 20 m tall building is 45°. A flag is hoisted at the top of the building, and the angle of elevation of the top of the flagpole from A is 60°. Find the length of the flagpole and the dist
A furniture
A furniture dealer bought a dining set for $12,000. At what price should the dealer sell this set, offering a 5% discount while still making a 10% profit?
A variable
A variable rectangle has a constant area of 35 cm². Find the side lengths when the perimeter is at its minimum.
A ration
108 kg of rations are sufficient for 18 students for 15 days. For how many students will 70 kg of rations be sufficient for 25 days?
Michael 9
Michael purchased an old scooter for ₹12,000 and spent ₹2,840 on its overhaul. He then sold it to his friend for ₹13,860. What was his percentage gain or loss?
Cash discount
The marked price of a mobile phone is ₹6,000. The shopkeeper offers a 5% discount for cash payment. If the VAT rate is 8%, find the amount the customer has to pay in cash.
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 centre 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 complete a piece of work in 19 days. In how many days will 3 men and 6 women complete it?
A business
Two people, A and B, start a business. A invested $21,000 from the beginning. B joined later with $36,000. 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. Of the women, 1/2 are married, and of the married women, 1/3 have children. Of the men, 3/4 are married, and of the married men, 2/3 have children. What fraction of the workers have no children?
Scholarship 3
The ratio of boys to girls in a school is 3:2. If 20% of boys and 25% of girls are scholarship holders, find the percentage of students who are not scholarship holders.
A long train
A train passes a standing man in 6 seconds and a 210 m long platform in 16 seconds. Find the length and the speed of the train.
The profit 5
A man buys 12 pens for €60 and sells them at 5 pens for €30. What is his profit percentage?
Shares
$1,300 are divided among A, B, C, and D such that A/B = B/C = C/D = 2/3.
Spheres - ratios
The surface areas of two spheres are in the ratio 1:4. Find the ratio of their volumes.
Two class train
The ratio of first-class to second-class train fares between two stations is 3:1, and the ratio of passengers travelling first-class to second-class is 1:50. If a total of $1,325 was collected on a particular day, how many dollars were collected from seco

Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.