Prime numbers - practice for 12 year olds - page 8 of 14
Number of problems found: 270
- Digits of age
The product of the digits of Andrew's age six years ago is the same and not equal to 0. Andrew's age is also the youngest possible age with these two conditions. After how many years will the product of the digits of Andrew's age again be the same as toda - Tram stop
At the tram stop, trams No. 4 and No. 5 met at 10 AM. Tram no. 4 runs every 5 minutes, tram No. 5 at an interval of 7 minutes. How many times will we meet until 12 o'clock? - Tiles
The room has dimensions of 12 m and 5.6 m. Determine the number of square tiles and their largest possible size to cover the room's floor. - Christmas 83125
Parents are making Christmas gazebos/packages for children. We have 96 apples, 320 candies, 80 gum, 112 nuts. How many identical packages can I make from a given material? - Determine 82852
The fan club has 275 members. Some members went to the match by train. Determine how many members rode when they could fill the wagons with either 60 or 80 seats. - Rectangular 56801
We are to create a square in the shape of a rectangle with an area of 288 m² (square) so that the sides are whole numbers. What are all the dimensions of the rectangular box we can make? How many is the solution? - Smallest 44681
What is the smallest width of the pool to be divided without rest into equally wide tracks, either 80cm or 1m, or 120cm? - Preparatory 3222
Less than 50 pupils go to 9A class. A third of the pupils wrote the preparatory test with a one, a quarter with a two, no one wrote with a three, and nine pupils with a four. How many students from 9A wrote the test with a five? - Susan 3
Susan has 90 sweets, 36 chocolates, and 60 jellies. She wants to pack the items equally into goodie bags without any leftover items. How many bags will she pack maximum? How many sweets, chocolates, and jellies will be in one bag? - Dividing
Divide the three-line segments 13 cm, 26 cm, and 19.5 cm long for parts so that the individual pieces are equally long and longest. How long will the individual parts, and how many will it? - Square tiles
The room has dimensions of 12 meters and 5.6 meters. Determine the number of square tiles and their largest dimension to exactly cover the floor. - Three Titanics
Three steamers sailed from the same port on the same day. The first came back on the third, the fourth 4th day, and the third returned on the sixth. How many days after leaving, the steamers meet again in the harbor? - Parachutists
During freefall, parachutists were first held in groups of 4, then 6, then 9, 12, and finally 18 members. How many parachutists jump at least should be, if at each group must all be involved. - Tiles
Hall has dimensions 250 × 200 dm. What is the largest size of square tiles that can be entire hall tiled, and how many do we need them? - Bouquet
The gardener tied a bouquet of flowers for eight, and none was left. Then he found that he could tie a bouquet of 6 flowers and also none was left. How many have gardener flowers (minimum and maximum) if they had between 50 and 100 flowers? - Bus lines
At 5.00 in the morning, four buses left the terminal at the same time. The first bus has an interval of 15 minutes, the second 20 minutes, the third 25 minutes, and the fourth 45 minutes. How many minutes will all four buses leave the terminal at the same - Dimensions 7131
The paper has dimensions 220mm and 308mm. We need to cut it into as large a square as possible. What will be the side of this square? - Performance 4403
During a public performance, majorettes line up in three-step, four-step, six-step, and eight-step. All rows are full with each grouping, and no majorette is promoted. Determine the smallest possible number of majorettes for which a performance can be mad - Groups
In the 6th class, there are 60 girls and 72 boys. We want to divide them into groups so that the number of girls and boys is the same. How many groups can you create? How many girls will be in the group? - Tailor
From the rest of the cloth, the tailor could cut off either 3 m in men's suits without a vest or 3.6 m with the vest. What shortest possible length could the rest of the cloth have? How many suits a) without a vest b) with a vest, could you make the tailo
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