Algebra - practice for 11 year olds - page 43 of 44
Number of problems found: 868
- Find the mean
Find the number between 13 and 29. - Conservationists 2820
A group of nature conservationists (a total of 28 members) and a sports team (16 members) worked for 7 days to clean up the forest park with an area of 10 ha. How many days would conservationists have to work without the help of athletes? - Originally 5427
There were red and green candies in the tin. Čenek ate 2/5 of all the red candies, and Zuzka ate 3/5 of all the green candies. Now, the red candies make up 3/8 of all the candies in the can. How many candies were originally in the can? - Forestry workers
56 laborers have employed planted trees in the forest. For 8 hour work, a day would end job in 37 days. After 16 days, 9 laborers go forth? How many days are needed to complete planting trees in nurseries by others if they work 10 hours a day?
- The king
The king divided ducats among his sons. He gave the eldest son a certain number of ducats, gave the younger one ducat less, gave the other one ducat less, and proceeded to the youngest. Then he returned to his eldest son, gave him one ducat less than a wh - Crown coins
Jana saves two-crown and five-crown coins. She has 32 coins in the cashier. How many two crowns and how many five crowns would she have if she saved 145 crowns? - Bicycle gears
The toothed wheel on the bicycle pedal has 40 teeth, and the wheel on the rear wheel has only 16 teeth. How many times does the rear wheel turn if the pedals rotate 50 times? - Trolleybus
Trolleybus line No. 206 measured 24 km. If the trolley bus goes faster by 5 km/h, the way there and back would be shorter by 33 minutes. Calculate the trolley bus speed and the time it takes for a return trip. - Vinegar
We must dilute 16 liters of 8.8% aqueous vinegar to 4.1% one. How much water is necessary to add?
- Bus vs. train
The bus started from point A 10 minutes before the train started from the same place. The bus went at an average speed of 49 km/h, train at 77 km/h. To point B train and bus arrived simultaneously. Calculate the train journey time if the train and bus tra - Remaining 5534
On the table lay eight cards with the numbers 2,3,5,7,11,13,17,19. Fero chose three cards. He added the numbers written on them and found that their sum was 1 more than the sum of the numbers on the remaining cards. Which cards could have been left on the - Double-digit 5411
Anička and Blanka each wrote one double-digit number, which started with a seven. The girls chose different numbers. Then each inserted a zero between the two digits, giving them a three-digit number. Everyone subtracted their original two-digit number fr - Tablecloth
I embroider a tablecloth in 20 days, but if I embroider for 3/4 hours a day, I have embroidered it for 15 days. How long do I embroider a day? - Restriction 7442
The figure shows two rows of hexagonal boxes that continue to the right without restriction. Fill in one field with one positive integer so that the product of the numbers in any three adjacent fields is 2018. Determine the number that will be in the top
- School trip
On a school trip, 17 of the 28 children bought ice cream or chocolate in a candy store. Twelve children bought chocolate, and nine children bought ice cream. How many children bought ice cream and chocolate? How many children did not buy ice cream? How ma - Cows
Twenty cows have food for 60 days. We reduce the dose to two-thirds for 18 cows. How many days will it feed? - Motion problem
From Levíc to Košíc, go car at speed 81 km/h. From Košíc to Levíc, go another car at speed 69 km/h. How many minutes before the meeting will be cars 27 km away? - Fluid
We have vessels containing 7 liters, 5 liters, and 2 liters. The largest container is filled with fluid, the others empty. Can you only get 5 liters and two 1 liter of fluid by pouring? How much pouring is needed? - Perpendicular 13491
Draw in one picture: a) straight line RZ b) YZ for which YZ is perpendicular to RZ c) the half-line RS diverging with YZ and with the line RZ d) point F, which lies on YZ outside the already selected points e) point H, which lies on the half-line RS and t
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