# Grade - examples - page 137

- Line segment

Cut a line segment of 15 cm into two line segments so that their lengths are in ratio 2:1. What length will each have? - Microsaving

Honza saved 72 crowns. Pepík saved 9 crowns more than Honza. How many crowns saved Pepík? - Image scale

The actual image dimensions are 60 cm x 80cm and has a reduced size 3 cm x 4 cm. At what scale the image was reduced? - LCM of two number

Find the smallest multiple of 63 and 147 - Pumps

Five pumps pumped 1,800 hl of water for 3 hours. How many hectoliters of water pump same two powerful pumps for six hours? - Trees - orchard

The 3/5 trees are apple trees and 1/3 of the trees are cherries. The remaining 5 trees are pear trees. How many trees are in the orchard. - Hexagonal prism 2

The regular hexagonal prism has a surface of 140 cm^{2}and height of 5 cm. Calculate its volume. - Population

What is the population of the city with 3% annual growth, if in 10 years the city will have 60,000 residents? - Geometric sequence 4

It is given geometric sequence a_{3}= 7 and a_{12}= 3. Calculate s_{23}(= sum of the first 23 members of the sequence). - Four ropes

TV transmitter is anchored at a height of 44 meters by four ropes. Each rope is attached at a distance of 55 meters from the heel of the TV transmitter. Calculate how many meters of rope were used in the construction of the transmitter. At each attachment. - Geometric sequence 5

About members of geometric sequence we know: ? ? Calculate a_{1}(first member) and q (common ratio or q-coefficient) - Cableway

Cableway has a length of 1800 m. The horizontal distance between the upper and lower cable car station is 1600 m. Calculate how much meters altitude is higher upper station than the base station. - Virus

We have a virus that lives one hour. Every half hour produce two child viruses. What will be the living population of the virus after 3.5 hours? - Milk

Mum bought 16 cartons of milk. One carton of milk weight 0.925 kg. How many weight all purchase? - Badminton

Peter's badminton class starts a quarter past two PM. He came at 13:16 . Does Peter arrive on time? - Mountain

Mountain has the elevation 7450 meters and in the morning is the middle portion thereof in the clouds. How many meters of height is in the sky if bellow the clouds is 2,000 meters and above clouds are two fifths of elevation of the mountain? - Rounding

The following numbers round to the thousandth: - Cube

One cube has edge increased 5 times. How many times will larger its surface area and volume? - Clotheslines

Mommy needs 6 clothesline 360 cm long. Clotheslines is sold in the length of eight meters. How many of these clotheslines must buy mom if any does not want to be connected? How much mommy pay for the clotheslines when 1 piece costs 24kč? - Family parcels

In father will he divided the land so that the older son had three bigger part than younger son. Later elder son gave 2.5 ha field to younger and they had both the same. Determine the area of family parcel.

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