# Examples for 6th grade (the sixth graders)

#### Number of problems found: 1300

- Ratios

Reduce the numbers: 50 in a 1:2 ratio 111 at a ratio of 2:3 70 at 10:50 560 at a ratio of 3:8 - Buildings

The school stands 110 m from the church, which is 100 m beyond the town hall. Which building are closer to the church and how many times? - Dealer

Dealer sell digital camera for € 474. Thirty percent of the price was his profit. After some time, decreased interest in selling the camera and therefore reduce its sales price by 11 %. How many percent of the new price now is dealer's profit? Round th - BMI index

Calculate BMI (body mass index, an index indicating obesity, overweight, normal weight, underweight) man weighing m = 71 kg and height h = 170 cm. Index is calculated according to equation (formula): ? With BMI index is possible to compare people of dif - Store

Peter paid in store 3 euros more than half the amount that was on arrival to the store. When he leave shop he left 10 euros. How many euros he had upon arrival to the store? - Aunt

Annie aunt is 35 years old, Annie is 14 years. For how many years will aunt have twice as many years as Annie? - Heart as pump

Heart pumps out 5.17 liters of blood in 1 minute. How many liters of blood pumped per hour and how much per day? - News

From 28 students buy magazine 10 The economist students, 10 Pravda students and 18 students don't buy any of these magazines. How many students buy both magazines? - Apples

Mr. Vesely give to the market his own 48 kg of apples, 40 kg from Mr. Kovar and 72 kg of Mr. Novak. Grossed a total of 1,920 CZK. How must divide income money for apples? - Square s3

Calculate the diagonal of the square, where its area is 0.49 cm square. And also calculate its circumference. - Coffee

Coffee from the machine in the cup cost 28 cents. Coffee is 20 cents more expensive than the cup. How much is the cup? - Troops - soldiers

Food stocks will last 20 soldiers of the 4-day training. How many days they could extend training if four soldiers become sick? - Diameter

The diameter of a circular plot is 14 dm. Find the circumference and area. - Ratios

Divide: a) 250 CZK in the ratio 2:3 b) 1000 CZK in the ratio 4:7:9 - Feed for horses

In the kennel have feed for two horses for 21 days. The station brought an additional 5 horses. How many days will last the feed for all the horses if they have the same daily ration? - Equation algebraogram

Solve the equation: oco + ivo = cita How much has the task of solutions? - Divide money

Divide 1200 USD at a ratio of 1:2:3:4:5:6:9:10 - The largest number

Find the largest integer such that: 1. No figures is not repeat, 2. multiplication of every two digits is odd, 3. addition all digits is odd. - Velocipede

The front wheel of velocipede from year 1880 had a diameter 1.8 m. If the front wheel turned again one then rear wheel 6 times. What was the diameter of the rear wheel? - Perpetrator

The perpetrator is a number that is smaller than the number 80. It is a multiple of five and it is odd. If we added up the tens and ones of this number we get number 8.

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