# Examples for 8th grade - page 13

- Mortgage

Family XY wants to take the bank mortgage (loan for an apartment/house) in the amount of € 100,000. Bank for processing the mortgage charges a fee of 0.79% of the amount borrowed. How many euros is this fee? - Pedestrian

Pedestrian came started at 7h in the morning with speed 3.6 km/h. At half-past eleven cyclist started at 27 km/h same way. How many minutes take cyclist to catch up pedestrian? - TVs

Production of television sets increased from 3,500 units to 4,200 units. Calculate the percentage of production increase. - Train and car

The train and the car started at a constant speed to journey. When the train travels 78 km, the car travels 64 km. How many km travels the train when the car travels 78 km? - Waiting room

In the waiting room are people and flies. Together they have 15 heads and 50 legs (fly has 6 legs). How many people and flies are in the waiting room? - Pizza

A school survey found that 9 out of 14 students like pizza. If 6 students are chosen at random, what is the probability that all 6 students like pizza? - Hurry - rush

At an average speed 10 km/h I will come from the school to the bus stop for 29 minutes. How fast I need to go if I need to get to the bus stop in 21 minutes? - Unknown x

If we add to unknown number 72, then divide by 2 and then subtract 29, we get back an unknown number. What is this unknown number? - Diagonal in rectangle

In that rectangle ABCD is the center of BC point E and point F is center of CD. Prove that the lines AE and AF divide diagonal BD into three equal parts. - Chess

How many ways can select 3 fields on classic chess board with 64 fields, so that fields don't has the same color? - Conference

97 is the total number of employees. The conference was attended by 34 employees. How much is it in percent? - Gasholder

The gasholder has spherical shape with a diameter 23 m. How many m^{3}can hold in? - Air

Room is 26.2 m long, 23.4 dm wide and 628 cm high. How many people can simultaneously be in this room if for hygiene reasons is calculated 5100 dm^{3}of air per person? - Square

Calculate area of the square with diagonal 70 cm. - Class

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

In the Hockey World Cup play eight teams, determine how many ways can they win gold, silver and bronze medals. - Expressions

Expression (3a-7).(3a+7) is identical with: ? - Birthdate

Jane on birthday brought 30 lollipops and 24 chewing gum for their friends. How many friends has, if everyone receives the same number of lollipops and chewing gums? How much chewing gum and lollipops got any friend? - Reciprocal

What is the reciprocal of the sum of the reciprocals of 7 and 2? - Circumference - a simple

What is the ratio of the circumference of any circle and its diameter? Write the result as a real number rounded to 2 decimal places.

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