Maths practice for 12-year-olds - page 287 of 347
Number of problems found: 6923
- Digit sum
Find the smallest natural number n, the digit sum of which equals 37. - Ratios
Reduce the numbers: 50 in a 1:2 ratio 111 at a ratio of 2:3 70 at 10:50 560 at a ratio of 3:8 - Road cleaning
Eight workers in 6 days sweep 2400 m² roads. How many m² will six workers clean in 4 days? - Orchard ratios
One gardener has 8 apple trees and 2 pears in his set. The other gardener has 12 apple trees and 3 pears in his set. a/ which gardener has more apple trees per pear? b/ what is the ratio of apple and pear trees in individual orchards? - Angle subtraction
Calculate: 127 ° 37 '- 58 ° 48' - Face of the house
How tall is the roof of a house in the shape of an isosceles triangle with a base length of 8 meters and an arm 5 meters long? - Milk cans
Two cans hold 20 liters of milk. If we pour from one-sixth to the other, both cans will be the same. How much milk is in each can? - The glass
The glass has the shape of a cylinder with an inner diameter of 12 cm, and the height from the bottom is 16 cm. The cut skewer can be inserted diagonally into the glass so it does not protrude beyond the edge. What is the largest possible length of the cu - Preparatory test
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? - Ratio expressions
Express as a ratio: a/ There are 200 boys and 300 girls in the school. b/ The number of chocolates eaten will triple on Nicholas Day. c/ During the holidays, the number of bus passengers decreased by a quarter. - Flower bouquets
No flower will remain if the gardener binds bouquets of 3, 4, and 6 flowers. If she ties a bouquet of 7 flowers, two are missing. How many flowers does a gardener have? - Catheti
One of the catheti of the right triangle has a length of 12 cm. At what distance from the center of the hypotenuse is another leg? - Brass sculpture
Brass is an alloy of copper and zinc in a ratio of 3 to 2. How much copper and zinc does a sculptor need to make a brass sculpture that should weigh 15 kg? - Bee hive
Half a bee swarm settled on a lilac, a third on roses, a seventh on jasmine, and one bee on clover. How many bees were in the hive? - Flour hopper
The baker filled the bakery flour hopper to 3/4 volume. After removing 875 kg of flour, he filled it with only 2/5 of the volume. How many tons of flour is in the full hopper? - Small cubes
How many small cubes do we get when we cut a cube with an edge of 5 dm into cubes with an edge of 1 dm? - Donuts
In the dining room, Thomas, Philip, and Martin sit at one table. Together, they eat 36 doughnuts. Philip ate twice as much as Thomas, and Martin ate half more than Philip. How many doughnuts did each eat? - Jet distance
What distance (in km) will the jet fly at 500 km/h in 12 minutes? - Travel time
At what time the body travels a distance of 105 km with a steady movement at a speed of 70 km/h? - Cyclist speed
A cyclist covered a track of 40 m in 5 s. The first section of the 30 m track was covered in 3 s; the remaining section was covered in 2 s. Specify: a) the average speed of the cyclist on the first section of the track b) the average speed of the cyclist
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