Grade - math word problems - page 13 of 968
Number of problems found: 19341
- 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. - By selling
By selling an article for $21, a trader loses a percentage equal to the cost price of the article. Find the cost price. - Mixed plus proper fraction
1½ + 1/3 = ? - 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. - Two trains 15
A train travelling at 50 km/h leaves Delhi at 8 AM and another train travelling at 70 km/h leaves Delhi at 11 AM in the same direction. How many km from Delhi will they be when the faster train catches the slower one? - Drying fruit
Fresh fruit contains 68% water and dried fruit contains 20% water. How much dried fruit can be obtained from 100 kg of fresh fruit? - 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.
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