Maths practice for 14 year olds - page 201 of 371
Number of problems found: 7416
- Classic tent
The tent is shaped like a triangular prism. The front and rear walls are isosceles triangles with a height of 18 dm and arms 19.5 dm long. It is 1.5 m wide and 2 m long. How many square meters of fabric are needed to make a tent? How much air is in it?
- Balls 8358
The bag has five red, four blue, and seven white balls. At least how many balls do we have to pull out to have at least one white ball on the table?
- Five-digit 8357
How many five-digit numbers can you create from the numbers 1,2,3,4,5,6 if 1 and 2 must always be next to each other? We cannot repeat the digits.
- A fisherman
A fisherman buys carnivores to fish. He could buy either six larvae and four worms for $ 132 or 4 larvae and seven worms for $ 127. What is the price of larvae and worms? Argue the answer.
- Calculate 8354
In a regular pyramid in which the edge of the base is | AB | = 4cm; height = 6cm, calculate the angle of the lines AV and CV, V = vertex.
- Increased 8350
Write with: (a) the number x increased by half (b) the number y was reduced by 20 c) a quarter of the sum of the numbers x and y (d) a figure 20% greater than e) 40% of number x
- Generated 8349
The numbers 1,2,3,4,5 are given. Role: a) how many 4-digit numbers can we create if the digits cannot be repeated? b) how many generated numbers will not contain the digit 1? c) How many of the generated numbers will be divisible by 5? d) How many of the
- RT sides
Find the sides of a rectangular triangle if legs a + b = 17cm and the radius of the written circle ρ = 2cm.
- Reduce 8344
Reduce the number 400 by 5%
- Different 8342
Three different types of chocolate candies at the price of 18 CZK, 24 CZK, and 20 CZK per 10 dag (formerly mass unit - dkg). How much will CZK cost for 1 kg of mixture mixed in a ratio of 1:5:4?
- Containing 8340
Calculate the perimeter of a square containing 9 acres.
- The railway
The railway line has a gradient of 12 per mille. How many meters will it ascend to a horizontal distance of 4 km?
- Six workers
Six workers planned to repair the roof in 5 days. After two days, two workers get sick. How long will the remaining workers complete the roof at the same rate?
- Participants 8335
How many ways can you be rewarded in the 1st, 2nd, or 3rd place? What is the prize for 15 participants in the competition?
- One three
We throw two dice. What is the probability that number three falls maximally once?
- Perpendicular and parallel
Find the value of t if 2tx+5y-6=0 and 5x-4y+8=0 are perpendicular and parallel lines. What angle does each line make with the x-axis, and find the angle between the lines?
- Calculate 8325
Calculate the area of a circular section given by an angle of 220 degrees if the circle's radius is 20cm. Round the result to cm2
- Centimeter 8324
Calculate the radius of a sphere with a volume of 6.2 dm3, round to the nearest centimeter.
- Centimeter 8323
The area of the cylinder shell is 307.72 cm2, and the diameter of the figure is 14 cm. Calculate its height to the nearest centimeter.
- Mice
Mice consumed a circular hole in a slice of cheese. The cheese is a circular cut with a radius of 20 cm and an angle of 90 degrees. What percentage of the cheese ate mice if they made 20 holes with a diameter of 2 cm?
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