Maths practice for 14 year olds - page 212 of 362
Number of problems found: 7230
- Textbook page numbering
A total of 3389 digits were needed to number all the sheets of the mathematics textbook. Assume that in a book, every leaf outside the plates is numbered. How many pages does this textbook have if it is: a) single-volume b) two-volume (with both parts hav - Cake discount percentage
The store sells 3 types of cakes: poppy, cottage cheese, and jam. They all cost the same. As of yesterday, the following offer applies: If you buy any 8 of these cakes, you will pay for only 5. How much percent less will I pay now for 8 of these cakes? - Rectangular triangle
The lengths of the rectangular triangle sides with a longer leg of 12 cm form an arithmetic sequence. What is the area of the triangle? - Tangent spheres
A sphere with a radius of 1 m is placed in the corner of the room. What is the largest sphere size that fits into the corner behind it? Additional info: Two spheres are placed in the corner of a room. The spheres are each tangent to the walls and floor an - Electric charge time
How long does it take for a 15 C charge to pass through the conductor's cross-section if a 3 mA current passes through the driver? - Rectangular field
A rectangular field has a diagonal length of 169 m. If the length and width are in the ratio of 12:5. Find the field's dimensions, the field's perimeter, and the field's area. - Cuboid Dimensions Ratio Surface
The base of a cuboid is a rectangle. The ratio of its length to width is 3:2. The length of the rectangle of the base is in the ratio of 4:5 to the height of the block. The sum of the lengths of all the edges of the block is 2.8 m. Find: a) the surface of - Number Multiply Increase Percent
What number do we need to multiply by 20 to increase by 5% - Square diagonal calculation
Calculate the size of the diagonal of an ABCD square whose perimeter is 40 cm - Tetrahedral pyramid
Calculate the surface S and the volume V of a regular tetrahedral pyramid with the base side a = 5 m and a body height of 14 m. - Three-part novel
In how many ways can seven books be arranged on a shelf if the three volumes of a novel must always be placed side by side? - Digit Count Numbers Sequence
How many digits 7 are in numbers from 1 to 777? - In the orchestra
In the school orchestra four musicians play – one the violin, one the clarinet, one the cello, and one the trumpet. During a performance not always all four play at once. Sometimes only one instrument plays, sometimes two, sometimes three, and sometimes a - Two number difference
The difference between the two numbers is -85. Their sum is 89. Determine these numbers. - Practice
How many ways can you place 20 pupils in a row when starting on practice? - Push-up work calculation
Zdenek, weighing 54 kg, made 15 push-ups on the crossbar. The height he reached was about 40 cm. What kind of work did he do? What would have been his performance if the whole exercise had taken him a minute and a half? - Number axis distance
How many double-digit numbers lie on the number axis closer to the number 31 than to the number 100? - Two Typists Pages Written The two typists wrote a total of 65 pages; although the first typed for an hour longer than the second, but typed 5 pages less; the second types 2 more pages per hour than the first. How many pages per hour does each typist write?
- Swimmer direction time
Two swimmers trained together in a small pool. Swimmer Pike will swim the pool in 16 seconds and swimmer Kaprik in 20 seconds. Both swimmers suddenly jumped into the pool from the same edge and, for 160 seconds, swam along the length of the pool back and - Three segments
The circle is divided into three segments. Segment A occupies 1/4 of the area. Segment B occupies 1/3 of the area. What part is occupied by section C? In what proportion are areas A: B: C?
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