# Examples for 9th grade

- Ten cashiers

Ten cashiers are open at Tesco. Customers wait an average of 15 minutes. How many other cashiers have to open to reduce the waiting time by 4 minutes? - Red diplomas

He numbers of students with honors in 2013 and 2014 are in ratio 40:49. How big is the year-on-year percentage increase? - Cows and calves

There are 168 cows and calves in the cowshed. Cows are in nine stalls and calves in four stalls. Same count cows are in every cow stall and three more in each calf stall than in a cow stall. What is the capacity of the stalls for cows and what for calves? - Spherical cap

Place a part of the sphere on a 4.6 cm cylinder so that the surface of this section is 20 cm^{2}. Determine the radius r of the sphere from which the spherical cap was cut. - Triangle 42

Triangle BCA. Angles A=119° B=(3y+14) C=4y. What is measure of triangle BCA=? - The dormitory

The dormitory accommodates 150 pupils in 42 rooms, some of which are triple and some are quadruple. Determine how many rooms are triple and how many quadruples. - Candies

In the confectionery, the price for 1 kg of pistachio candies cost CZK 360, and the price for 1 kg of hazelnut candies was CZK 280. Mixing these two types of sweets created a box of chocolates. How many grams of pistachios and how many grams of hazelnut c - Jane plants

Jane plants flowers in the garden. If she planted 12 every hour instead of 9 flowers, she would finish with the job an hour earlier. How many flowers does she plant? - Banknotes

Eva deposit 7800 USD in 50 banknotes in the bank. They had value 100 USD and 200 USD. How many were they? - Prism diagonal

The body diagonal of a regular square prism has an angle of 60 degrees with the base, the edge length is 10 cm. What is the volume of the prism? - Rectangle

There is a rectangle with a length of 12 cm and a diagonal 8 cm longer than the width. Calculate the area of rectangle. - Discount price

Coat cost 150 euros after sales discount. What is the original price when the discount is 25% of the original price? - Triangular pyramid

What is the volume of a regular triangular pyramid with a side 3 cm long? - 600 pencils

600 pencils we want to be divided into three groups. The biggest groups have ten pens more than the smallest. How many ways can this be done? - Two parallel chords

The two parallel chords of the circle have the same length of 6 cm and are 8 cm apart. Calculate the radius of the circle. - Average height

The average height of all pupils is 162 cm. The class teacher's height is 178 cm. The average height of all (teacher and all pupils) is 163 cm. Calculate the number of pupils in the class. - Three numbers

We have three different non-zero digits. We will create all 3 digits numbers from them to use all 3 figures in each number. We add all the created numbers, and we get the sum of 1554. What were the numbers? - Company and employees

There are 370 employees in the company - women are 15% less than men. How many men work in the company? - KLM triangle

Find the length of the sides of the triangle KLM if m = 5cm height to m = 4.5 cm and size MKL angle is 70 degrees. - Foot area

Which animal will leave deeper footstep: an elephant weighing 5 tons with a total foot area of 0.5 square meters, or a gazelle weighing 10 kg and a foot area of 50 cm square?

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