# Latest problems - page 5

- Digits

Show that if x, y, z are 3 consecutive nonzero digits, zyx-xyz = 198, where zyx and xyz are three-digit numbers created from x, y, z. - Geometric progression 4

8,4√2,4,2√2 - Algebra

X+y=5, find xy (find the product of x and y if x+y = 5) - Intersections

Find the intersections of the function plot with coordinate axes: f (x): y = x + 3/5 - 5 people

5 people have $122000 and 1 person has $539000 How much should each person (equally) pay? - Length subtracting

Express in mm: 5 3/10 cm - 2/5 mm - Simplify 3

Simplify mixed numerals expression: 8 1/4- 3 2/5 - (2 1/3 - 1/4) Show your solution. - Adding mixed numerals

3 3/4 + 2 3/5 + 5 1/2 Show your solution. - Utopia Island

A probability of disease A on the island of Utopia is 40%. A probability of occurrence among the men of this island, which make up 60% of all the population (the rest are women), is 50%. What is the probability of occurrence of A disease among women on Uto - Performance

Two masons with the same performance would have made of plaster for 6 days. One of them, however, has increased its daily performance by 50%. How long would take they now to make plaster together? - The perimeter

The perimeter of equilateral △PQR is 12. The perimeter of regular hexagon STUVWX is also 12. What is the ratio of the area of △PQR to the area of STUVWX? - Bulbs

There are 875 identical light bulbs in the sports hall lightning for 2 hours. How long does it lightning 100 this light bulbs? - Angle of diagonal

Angle between the body diagonal of a regular quadrilateral and its base is 60°. The edge of the base has a length of 10cm. Calculate the body volume. - 75th percentile (quartille Q3)

Find 75th percentile for 30,42,42,46,46,46,50,50,54 - Sand path

How many m^{3}of sand is needed to fill the 1.5m wide path around a rectangular flowerbed of 8m and 14m if the sand layer is 6cm high? - Regular prism

The regular four-sided prism has a base of 25 cm^{2}and a surface of 210 cm^{2.}Find its volume. - 40% volume

40% volume with 104 uph (units per labor hour) 8 people working. What is the volume? - Scientific notation

Approximately 7.5x10^{5}gallons of water flow over a waterfall each second. There are 8.6x10^{4}seconds in 1 day. Select the approximate number of gallons of water that flow over the waterfall in 1 day. - Equilateral cylinder

A sphere is inserted into the rotating equilateral cylinder (touching the bases and the shell). Prove that the cylinder has both a volume and a surface half larger than an inscribed sphere. - An oil

An oil drum is cut in half. One half is used as a water trough. Use the dimensions; length 82cm, width 56cm to estimate the capacity of the water trough in liters.

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