# Basic functions - math word problems

#### Number of problems found: 2467

• Ratio to total
7:12 is the ratio of orchids to tulips. What is the ratio of the number of orchids to the total number of flowers in the garden?
• Tent
Pyramid-shaped tent has a base square with a side length of 2 m and a height 1.7 m. How many meters of canvas is nneded to make it if for a waste should be added 10%?
• Climb in percentage
The height difference between points A and B is 475 m. Calculate the percentage of route climbing if the horizontal distance places A, B is 7.4 km.
• Division
Three siblings Helena, Oliver and George split the bag with candies on merit in the ratio 6:1:4. How many candies should each get if in bag were 88?
• Electricity consumption cost
Last year Karol family reduced its electricity consumption by 31% compared to the previous year and paid CZK 2883 less. How many CZK is electricity last year and how many two year ago?
• RT and ratio
A right triangle whose legs are in a ratio 6:12 has hypotenuse 68 m long. How long are its legs?
• Ratio
6 numbers are in the ratio 1:5:1:5:5:5. Their sum is 242. What are the numbers?
• Maximum of volume
The shell of the cone is formed by winding a circular section with a radius of 1. For what central angle of a given circular section will the volume of the resulting cone be maximum?
• Three days
During the three days sold in stationery 1490 workbooks. The first day sold about workbooks more than third day. The second day 190 workbooks sold less than third day. How many workbooks sold during each day?
• Map scale
The rectangular plot has a scale of 1: 10000 area 3 cm2 on the map. What content does this plot have on a 1:5000 scale map?
• Modulo
Find x in modulo equation: 47x = 4 (mod 9) Hint - read as: what number 47x divided by 9 (modulo 9) give remainder 4 .
• VAT lottery
Father earns 1088 euro a month, mother 925 euro per month. Calculate what amount they paid as value added tax (VAT) to the government if the VAT rate is 20%. Assume that the family will spend their entire monthly income.
• Metal sheets
How much metal sheet is needed to produce 8 gutters 4 m long and 12 cm in diameter? During production, joints calculate at 3% of total consumption.
• RC time constant
You introduced 1 Coulomb worth of electrons into the inner volume of a dielectric material with ϵr=6. Thirty minutes later, you found that only 36.79% of the electrons were in the internal volume. Determine the conductivity σ of the dielectric material.
• Rectangular land
Due to the new road, the longer dimension of the rectangular plot had to be shortened by 4 percent and the shorter dimension shortened by 10 percent. By how many percent has the area of land decreased?
• Probability of intersection
Three students have a probability of 0.7,0.5 and 0.4 to graduated from university respectively. What is the probability that at least one of them will be graduated?
• Circle described
The radius of the circle described to the right triangle with 6 cm long leg is 5 cm. Calculate the circumference of this triangle.
• Hens
11 hens will eat spilled grain from 6AM to 16 PM. At 11 hour grandmother brought 4 hens from the neighbors. At what time was grain out?
• Hectoliters
How many hectoliters of water is in garden barrel with 90 cm diameter and a height of 1.3 m, if it is filled to 80% of its capacity?
• Two xeroxes
The performances of the two copiers are in the ratio 3: 4. A machine with higher power will make 7,200 copies in one hour. How many copies will both machines make together in 5 hours?

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