# Examples for 8th grade - page 84

- Equilateral triangle

The equilateral triangle has a 23 cm long side. Calculate its content area. - Liters od milk

The cylinder-shaped container contains 80 liters of milk. Milk level is 45 cm. How much milk will in the container, if level raise to height 72 cm? - Square

Danov's father has a square of 65.25 milligram square of wire with a diagonal. How will the square be big when one mm weighs 7 mg? - Friends

James and Jaroslav are friends. Together they had 48 toy cars. But if John took 8 cars from Jaroslav, Jaroslav will be have 1.5 times more toy cars than James. How many toy cars had Jaroslav and James? - Runner 2

Marian run 12 meters in 8 seconds. How far would Marian run for 70 seconds, if still run at the same pace? - Cylinder

In a 1-meter diameter cylinder is 1413 liters of water, which is 60% of the cylinder. Calculate the cylinder height in meters, do not write the units. The resulting value round and write as an integer. - Truck and car

At 6h45min the truck started at a speed of 36 km/h. At 7h30m behind it a passenger car. Find the average speed of passenger car if it will catch truck 72 km away from the factory. - Mushrooms

Fresh mushrooms contain 90% water, dried only 12%. How many kilograms of fresh mushrooms are needed for 5kg dried? - Sawmill factory

Peter works in the factory. The bus stop is 10 km from the factory. Therefore, always when the bus arrives for Peter, the driver leaves factory and takes him to work. They are coming at the saw exactly at 8:00. Today the bus arrived 11 minutes earlier and. - EQ2

Solve quadratic equation: ? - Parallelogram

Side a of parallelogram is twice longer than side b. Its circumference is 78 dm. Calculate the length of the sides of a parallelogram. - Unknown number 4

I think number. When I divided its square root by its 1/9, I get a number 1. What number am I thinking? - Class

In a class are 32 pupils. Of these are 8 boys. What percentage of girls are in the class? - Football match 4

In a football match with the Italy lost 3 goals with Germans. Totally fell 5 goals in the match. Determine the number of goals of Italy and Germany. - Backpack

Large backpack cost CZK 1352, little is 35% cheaper. How much we paid for 5 large and 2 small backpacks? - Rectangle

Find the dimensions of the rectangle, whose perimeter is 108 cm and the length is 25% larger than the width. - Workers

Group of workers washing half of the windows of the building in two hours. How long will take half the workers wash all the windows of the building? - Outer contact of circles

Construct a circle k1 (S1; 1.5 cm), k2 (S2; 2 cm), and K3 (S3; 2.5 cm) so that they are always two outer contact. Calculate the perimeter of the triangle S_{1}S_{2}S_{3}. - Three monks

Three medieval monks has task to copy 600 pages of the Bible. One rewrites in three days 1 page, second in 2 days 3 pages and a third in 4 days 2 sides. Calculate for how many days and what day the monks will have copied whole Bible when they begin Wednesd - Ladder

Ladder 10 meters long is staying against the wall so that its bottom edge is 6 meters away from the wall. What height reaches ladder?

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