Maths practice for 12-year-olds - page 166 of 351

Number of problems found: 7020

Wooden cube
Find the weight of a wooden cube with an edge of 3.5 dm if the wood's density is 0.7 g/cm³.
Dance ensembles
Four dance ensembles were dancing at the festival. None had less than ten and more than 20 members. All dancers from some of the two ensembles were represented in each dance. First, 31 participants were on the stage, then 32, 34, 35, 37, and 38. How many
Cooler place
The temperature recorded in Simla is -4 °C and in Kufri is -6 °C on the same day. Which place is cooler on the day?
Subtracting sets
For two sets K, L is true: K has 30 elements, L has 27 elements, and the set L - K has 22 elements. How many elements does the set K - L have?
Swimming pool
A swimming pool 30 meters long is filled with water to a depth of 1 meter at the shallow end, and 5 meters at the deep end, and abcd the vertical area of the pool has the shape of a trapezium with the area given by S(abcd)= 1/2 (ab + cd) x ad. What is the
Venn diagram
First-year university students choose a foreign language. Of 120 enrolled students, 75 chose English, 65 chose German, and 40 chose both English and German. Using a Venn diagram, determine: - how many students chose only English, - how many students chose
Language courses
Of the company's 60 employees, 28 attend an English course, 17 take a German course, and 20 do not attend any of these courses. How many employees attend both courses?
Sand
How much can m³ of sand be loaded on a car with a load capacity of 5 t? The sand density is 1600 kg/m³.
Square gardens
The gardening colony with dimensions of 180 m and 300 m is to be completely divided into equally large square areas with the largest possible area. Calculate how many such square areas can be obtained and determine the square's side length.
Aman
Aman, Anna, and Tina are participating in the school race. Anna completes a lap in 120 minutes, Aman completes a lap in 240 minutes, and Tina completes a lap in 60 minutes. If they all started at the same time, then after how long will they meet again?
Prime divisors
Find 2/3 of the sum's ratio and the product of all prime divisors of the number 120.
An electrician
An electrician needs 1 1/3 rolls of electrical wire to wire each room in a house. How many rooms can he wire with 6 2/3 rolls of wire?
Bathroom tile
The wall in the bathroom has dimensions of 27 dm and 200 cm if we wanted to cover this entire wall with tiles in the shape of a square with a side length of 10 cm. How many tiles can fit in the height, and how many in the length of the wall in the bathroo
Summer camp
Some boys or girls signed up for the summer camp, which has a maximum capacity of 200 children. The main leader noticed that during the evening start, he could arrange the participants exactly in the twelve-step, sixteen-step, or eighteen-step, and no one
Tractor wheels
The tractor's front wheel has a circumference of 18 dm and the rear 60 dm. We will make a red mark on the lowest point of both wheels. The tractor then starts. At what distance from the start will both marks appear identically at the bottom again?
Three
Three buses follow the same circular route. The first driver is the slowest because he has many stops, and it takes him 90 minutes to cross the route. The second driver will pass the circuit in 1 hour. The third driver has the fewest stops, and the circui
Pegs
From two sticks 240 cm and 210 cm long, it is necessary to cut the longest possible pegs for flowers so that no residues remain. How many pegs will it be?
Babysitting
Susan earns $27.40 for 4 hours of babysitting. How much would she earn for 7 hours?
Flowerpot
The block-shaped flowerpot has external dimensions: length 1.25 m, width 10 cm, and height 11 cm. The thickness of the boards from which it is made is 0.8 cm. How many liters of soil is needed to fill it 1 cm below the top edge? What surface do we have to
Gardens
The square garden is 3/4 of the area of the triangular garden, which has sides of 80 m, 50 m, and 50 m. How many meters of fence do we need to fence a square garden?

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