Maths practice for 12-year-olds - page 47 of 349

Number of problems found: 6962

Sixths 83987
How much is three and five-sixths less than four and five-ninths?
That: 83969
Find x such that: a) 2 : 5 = 8 : x b) x : 28 = 4 : 7
Distance - cities
Determine the actual distance between two cities if their distance on the map is 7.5 cm and the map scale is 1:60,000.
Detergent - dilution
The detergent is diluted in a ratio of 1:200. How much detergent do we need if we use 5 liters of water?
Number split
Divide 36 in the ratio of 4:5.
Tickets 9/11
9 tickets cost 153 CZK. How much do 11 tickets cost?
Visitors
The first holiday weekend, 1250 visitors came to the swimming pool in Zdice. Sunday was not so nice, so two-thirds of the number of visitors who were at the swimming pool on Saturday came. How many visitors were there on Saturday?
Liquid - pouring
We need to pour liquid from two cube-shaped containers into one container. The original containers have edges of 0.7 m and 0.9 m. What will be the edge length of the cube of the common container?
Salesman 4
The salesman sold 3/5 of the potatoes on the first day and 2/3 of the rest on the second day. What fraction of the potatoes did he sell in two days? What fraction of the potatoes did he have left?
Quarter 83940
Half a cake costs 7€ more than a quarter of a cake. How much does a cake cost? Thank you
23 students
The ninth grade students went on a field trip in such a number that they could sit at tables of 4, 5, and 6, and each time one seat remained free. What is the smallest number of students who participated in the field trip?
The denominator
Find unknown denominator in fraction inequality: 6/5>41/_>8/7
Aluminum - density
The density of aluminum is 2,700 kg/m³. Calculate the mass of an aluminum cube with a volume of 80 cm³!
Sifted sand
At a construction site, the sand used in mortar is sifted through a sieve. In the process, 1/6 of the coarse sand falls through. Determine how many cubic meters must be brought in to obtain two cubic meters of sifted sand.
Balls 6
Jane has balls in her bag that could be divided fairly between 4, 5, or 6 children. How many balls at least does Jane have in her bag?
Paving 2
It will take a construction company 8 working days to pave the sidewalks on two streets in a city if all 6 pavers work. However, only 4 pavers can complete the job because the other two have been dismissed. How many working days will it take the group of
Shadow - an observation tower
How tall is the observation tower if it casts a shadow 9.6 m long at exactly the same moment that a half-meter pole casts a shadow 30 cm long?
Box
A paper box is in the shape of a cube. 2,400 cm² of paper was used to make it. Bends for gluing the walls are not included. Calculate the volume of the box.
Rectangle - perimeter, side
From the formula for calculating the perimeter of a rectangle, express the length of side b and find its size for o = 28 cm, a = 7.5 cm.
Fifths 83882
What is two-fifths of 175?

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