Maths practice for 12-year-olds - page 175 of 347
Number of problems found: 6923
- Games
Jack and Paul decided to play chess against each other. They bet ten pesos on each game they played. Jack won three bets, and Paul won fifty pesos. How many games did they play? - Outdoor temperature
The outdoor temperature was 8 degrees at midnight. The temperature declined 5 degrees during each of the next 3 hours. What was the temperature at 3 AM? - Construction of trapezoid
Construct a trapezoid if b = 4 cm, c = 7 cm, d = 4,5 cm, v = 3 cm (Procedure, discussion, sketch, analysis, construction) - Gas, lpg and diesel
Calculate how much it costs to drive 35000 km by car: a) a car with the consumption of 8 l/100 km of LPG for 60 cents b) 7 l/100 km of petrol for 1.33 euros c) 6 l/100 km of diesel for 1.2 euros. Calculate what is cheaper. - Four prisms
Question No. 1: The prism has the dimensions a = 2.5 cm, b = 100 mm, c = 12 cm. What is its volume? a) 3000 cm² b) 300 cm² c) 3000 cm³ d) 300 cm³ Question No.2: The prism base is a rhombus with a side length of 30 cm and a height of 27 cm. The height of t - Mixing paint with water
Mr. Adamek will paint. The purchased paint is diluted with water in a ratio of 1:1.5. a) how many parts of water will add to 1 part of the paint b) how many liters of water the mission adds to 2 liters of paint - Village's tourists
At 8 o'clock, Pete went from Hůrka to Lhotka at a speed of 3 km/h, and at 9 o'clock, Tony went from Lhotka to Hůrka at a rate of 5 km/h. How far apart are the two villages if Pete and Tony meet at 9:30 am? - Two walls
Calculate the surface area of a cube in m² if you know that the area of its two walls is 72 dm². - Cone volume calculation
The volume of the cone is 9.42 cm3, and its base diameter is 3 cm. Calculate 1 / height of the cone 2 / side cones 3 / cone surface - One press
One press will produce one truck of respirators in 3.5 days and the second in 10 days. How long does it take to fill a truck while working together? - Rectangular flowerbed
The park has a rectangular flowerbed measuring 10 m and 200 cm. How many rose bushes do we plant in the flowerbed if 25 dm² are needed per bush? - Nou camp
Nou camp is the largest football stadium in Europe with a capacity of 99 354 places. It has built several dozen entrances. Half an hour before the start of the sold-out match there were already 30 906 fans in the stands. Through each of the 31 entrances, - Silo painting calculation
The cylindrical silo has a diameter of 4 m and a height of 7 m. For how many square meters is it necessary to buy paint to paint against corrosion (we paint the silo only from the outside)? - Fountain
The stone fountain, which has the shape of a cylinder with a diameter of 3 m, is 70 cm deep. How many m² of stone is wetted with water? - Poster column area
The column for posters in the cylinder shape is 2.3 m high, and its diameter is 1.2 m. What is the area on which the posters can be glued? - Similar triangles
In the triangle DEF is DE = 21 cm, EF = 14.7 cm, DF = 28 cm. The triangle D'E'F' is similar to the triangle DEF. Calculate the lengths of the sides of the triangle D'E'F' if the similarity coefficient is one-seventh. - Order 2
Two production lines are available to fulfil an urgent order. The original line can produce the required goods in 15 hours, while the newer line, which has not yet been started up, could have the goods ready in 10 hours. The original line can be launched - Shoemaker
Both the shoemaker and his apprentice repaired his shoes. The apprentice worked for six days and repaired ten pairs of shoes daily. The shoemaker did the same job for four days. How many pairs of shoes did the shoemaker repair per day? - Filling the pool
How many liters of water must be poured into a pool 25 m long, 800 cm wide, and 20 m deep? The pool should be filled to 3/4 of its depth. How many euros will you pay for pool tiling, and a square meter of tiling costs 20 euros? - Cone surface volume The rotating cone has a base circumference of 62.8 cm. And a height of 0.7 dm. Calculate its surface area and volume.
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