Maths practice for 12-year-olds - page 333 of 347

Number of problems found: 6932

Canopy
Mr Peter has a metal roof cone shape with a height of 127 cm and radius 130 cm over well. He needs to paint the roof with anticorrosion. If the manufacturer specifies the consumption of 1 kg to 3.3 m², how many kg of color must he buy?
Diagonals
The rhombus has two diagonals, e=14 dm, and f=11 dm. Calculate the side angle and height of the rhombus.
Lid
What is the weight of the concrete cover (lid) of a round well with a diameter 1.65 m if the thickness of the cover is 9 cm? 1 m³ of concrete weighs 2190 kg.
Parallelogram - side
Calculate the length of the side of a parallelogram whose area is 128 dm² and height to that side is 27.7 dm long.
Parallelogram
Calculate the area and perimeter of a parallelogram whose two sides are long a=18 cm b=14 cm and height h_a = 2 cm long.
Rising price
The book first becomes more expensive by 5 euros. The new price was later increased by 28% after the second price increase book cost 30 euros. What was the original price of the book?
Addends
The number 681 is divided into two addends. The first was 9 greater than 60% of the second. Determine these addends.
Cyclist
A cyclist passes 95 km in 5 hours. How many kilometers did he pass in 8 hours?
Typing course
Before taking a typing course, Peter could type 32 words per minute. By the course's end, he could type 65 words per minute. Find the percent increase.
Enrollment
The enrollment at a local college increased 8% from 9339 over last year. Find the increase in enrollment (x₁) and the current enrollment (x₂).
Arm
Calculate the length of the arm r of isosceles triangle ABC, with base |AB| = 14 cm and a height v=18 cm.
Diagonal
Calculate the diagonal length of the rectangle ABCD with sides a = 7 cm, b = 10 cm.
Trapezium
Find the height of the trapezium ABCD, which has an area 87.5 cm² and base lengths 15 cm and 10 cm.
Madams
During spring cleaning, ladies were going to wash the windows. Mother takes 2 hours to wash all the windows, the grandmother takes 2 times longer, and Paula washes all the windows in 2 hours. How many hours will you spend washing the windows of this "wome
Car
The car goes from point A to point B at speed 71 km/h and back 83 km/h. If it goes there and back at speed 82 km/h trip would take 5 minutes shorter. What is the distance between points A and B?
Medicament
Many manufacturers produce the same type of medicament in various packages with different active substance content. Pack 1: includes 60 pills of 600 mg of active substance per pack cost 31.5 Eur. Pack 2: includes 100 tablets of 1200 mg of active substance
Train
A passenger train traveled for 2 hours 62 km. 1.8 hours after its departure started fast train and caught it on 162 km. How many km/h is different from its average speed?
Quadrant II
Calculate the radius of the quadrant, which area is equal to the area of the circle with radius r = 15 cm.
Coin and die
Flip a coin and then roll a six-sided die. How many possible combinations are there?
Inheritance
After death, the father († 62) remained the mother (his wife) and 3 children. Inheritance by law is that the first mother will automatically get half of the property and the other half inherited by heirs, the mother and her 3 children by the same share. C

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