Maths practice for 14 year olds - page 133 of 362
Number of problems found: 7235
- Tower roof
The tower's roof is a cone with a base diameter of 12 m and a height of 8 m. At least how many square meters of roofing are needed to cover it? - Tower's view
From the church tower's view at 65 m, the top of the house can be seen at a depth angle of alpha = 45° and its bottom at a depth angle of beta = 58°. Calculate the house's height and its distance from the church. - Aircraft
From the aircraft flying at an altitude of 500 m, they observed places A and B (at the same altitude) in the direction of flight at depth angles alpha = 48° and beta = 35°. What is the distance between places A and B? - Acid mixture
How many grams of 70% and 45% acid must be mixed to form 300 grams of 60% acid? - A semi-circular
A semi-circular fishbowl is filled with water and has a diameter of 10 feet. What is the total water weight to the nearest pound in the tank if water weighs 62.5 pounds per cubic foot? - Carpenter chair
Eight carpenters will make 30 chairs in 2 days. In how many days will ten carpenters make 72 chairs? - Plan scale
On mill paper, the dimensions are 11 * 7.5 mm, and the external dimensions of the sauna are 4.4 * 3 m. On what scale is the plan drawn on graph paper? - Iodine solution preparation
Calculate how many grams of iodine and ethanol are needed to prepare 200 grams of 6% iodine in ethanol solution. - Measurement - the laboratory
Laboratory measurements determined the following roller lengths (in millimeters): {402; 410; 412; 410; 413; 418; 405; 409; 410; 409} Calculate arithmetic, geometric mean, mode, and median. - Truck concrete
Ten identical trucks will take 240 tons of concrete to build the dam in 3 working days. How many tons of concrete will seven trucks take to make the dam in 5 days? - Beginners - skiing
Out of 150 children in a ski course, 40 were beginners. What percentage is that? - Deceleration
In a braking test, a vehicle that travels at 51 km/h stops in 5 s. What is its acceleration? - Brother age
Jacob is ten years younger than his brother Martin. He is a total of 24 years old. How old is Jacob? - Roof material
How many square meters of roofing is needed to cover the cone-shaped roof if the perimeter of its base is 15.7 m and a height of 30 dm - Six-sided parasol
The parasol has the shape of the shell of a regular six-sided pyramid, whose base edge is a=6 dm and height v=25 cm. How much fabric is needed to make a parasol if we count 10% for joints and waste? - Organizers 2
The organizers of a concert sold tickets for a total of 18,000 CZK. The seats in the auditorium are divided into two differently priced sections. A ticket in section 1 costs 500 CZK. A total of 300 people attended the concert, with 60 fewer people in sect - Textbook price
The supermarket reduced the price of the mathematics textbook by CZK 32. So now, 4 textbooks are CZK 8 cheaper than 3 textbooks purchased at the original price. Calculate how many CZK crowns one textbook costs before the discount. How many crowns does a t - Height and base
An isosceles triangle has an area of 168 cm², and its added height and base are 50 cm. What are the measurements of its height and base? - Inscribed circle
A circle is inscribed in the triangle with sides of 13 cm, 14 cm, and 15 cm. What is its radius? - Bike meeting
John and William agreed that on Saturday at 7:00 AM, they would go on a trip on their bikes. John fell asleep and started an hour later. When and where will the friends meet? We know that William walked at an average speed of 15 km/h and John at 25 km/h.
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