# Examples for 7th grade (seventh) - page 27

- Ratio three numbers

Three numbers SUV are in the ratio 1:2:3. Their sum is 24. Find this numbers and write their add and sum. - Truncated cone

Calculate the volume of a truncated cone with base radiuses r_{1}=13 cm, r_{2}= 10 cm and height v = 8 cm. - Base

Base of building is circle with diameter 25 m. Calculate the circumference of a circular trench witch diameter is 41 cm wider than the diameter of the base. - Salary

Mr. Johnson's had monthly salary 955 USD since the beginning of year. From which month his salary was increased by 52 USD, when in year earned 11824 USD (enter as a number from 1 to 12)? - Bouquet

Gardener tying bouquet of flowers for 8 and none was left. Then he found that he could tying bouquet of 6 flowers and also none was left. How many have gardener flowers (minimum and maximum) if they had between 50 and 100 flowers? - Hall

Rectangular hall will have pave by square tiles with a side length 15 cm. The hall has length 18 meters and width 3 m. How many tiles need to buy if 2 percent of the amount is disrupted during the work? - Cars

Cars started at 7:00 AM. From point A car run at 40 km per hour, from B car run 70 km per hour. Between A and B is 250 km long road. When and where will meet (measured from point A)? - Secret number

Determine the secret number n, which reversed decrease by 16.4 if the number increase by 16.4. - Medal

Calculate the approximate weight of the gold Olympics medal, if its diameter is 8 cm and a thickness 6 mm. The density of gold find out in the tables or on the Internet. - Cylinder

The cylinder surface is 859 dm^{2}, its height is equal to the radius of the base. Calculate height of this cylinder. - Daughters

The man conducting the census asks a woman to age of three daughters. Woman says when multiply the age getnumber 72; if their ages add up, get a number of our house, as you see. The man says: That is not enough to calculate their ages. She says: my oldes - Equator

Suppose that tourist went on foot over the Globe equator. How many meters more track made his hat on his head as the shoes on your feet? The radius of the earth is 6378 km and height of the tourist is 1.7 m. - Motion 2

At 10 o'clock started from place A car speed at 90 km/h. 20 minutes after started from the place B at speed 60 km/h another car. Distance places A and B is 120 kilometers. What time and where they meet? - One and a half chicken

One and a half chicken bears one and a half egg in one and a half day. How many eggs can withstand from 6 chicken in 6 days? - Square Number

If to a square of integer number add 31, we get the square of next integer number. What is the original number? - Bicycles

You're the owner of the transport 's learning playground. Buy bicycles of two colors but you've got to spend accurately 120000 Kč. Blue bike costs 3600Kč and red bicycle 3200Kč. - Arc

What area of a circle occupied the flowers planted in the arc of a circle with radius 4 m with central angle 45°? - Scale of the map

Determine the scale of the map, which is the actual distance of 120 km l represented by segment long 6 cm. - For thinkings

The glass cube dive into the aquarium, which has a length of 25 cm, width 20 cm and height of 30 cm. Aquarium water rises by 2 cm. a) What is the volume of a cube? b) How many centimeters measure its edge? - Iron

Iron ore contains 57% iron. How much ore is needed to produce 20 tons of iron?

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