Prime numbers - practice for 12 year olds - page 13 of 14
Number of problems found: 272
- 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? - Grandson and granddad
Grandson with grandpa, they counted how many years have together. Their product is 365. How many years is the sum of their years? - 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. - Four-digit number
Find a four-digit number, which quadrupled written backward is the same number.
- 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. - Florist's
The flower shop has 72 white and 90 red roses. How many identical bouquets can they most tie together so that all the roses are used? - Tailor master
There are less than 50m of textile in the tailoring workshop. No textile is left when cutting on a blouse (consumption 1.5m). No textile is left when using a cloth (consumption of 3.2m). How many meters of textiles are in a tailor's workshop? - Plumber
The plumber had to cut the metal strip with dimensions of 380 cm and 60 cm to the largest squares to no waste. Calculate the length of the sides of a square. How many squares cut it? - Spartakiada
Practitioners lined up in rectangles with a row with four, five, or six exercisers, one always missing an entire rectangle. How many exercisers were on the field, if they have estimated not been more than 100?
- Around the flowerbed
Around a rectangular flowerbed with dimensions 5.25 m and 3.5 m are to be planted roses equally spaced so that the roses are found in every corner of the flowerbed and consumed as little as possible. a) At what distance are planted roses? b) How many rose - Square room
What is the size of the smallest square room, which can be paved with tiles with dimensions of 55 cm and 45 cm? How many such tiles are needed? - Birthdate
Jane brought 30 lollipops and 24 chewing gum for their friends on her birthday. How many friends does she have if everyone receives the same number of lollipops and chewing gums? How much chewing gum and lollipops got any friends? - Sports games
Pupils of the same school participated in district sports games. When dividing into teams found that in the case of the creative teams with four pupils remaining one pupil, in the case of five-member teams with remaining two pupils, and in the case of six - 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?
- Racing track
On the racing track circling three cars. The first pass one circuit for 8 seconds, the second for 20 seconds, and a third for 8 seconds. a) Calculate the number of seconds since starting to catch all three cars together for the first time again across the - Decomposition
Make decomposition using prime numbers of number 155. The result write as prime factors (all, even multiple) - Segments
Line segments 69 cm and 3.7 dm long we divide into equal parts which lengths in centimeters is expressed integer. How many ways can we divide? - 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? - TV commercials
For the typical one-hour prime-time television slot, the number of minutes of commercials is 3/8 of the actual program's minutes. Determine how many minutes of the program are shown in that one hour.
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