Maths practice for 14 year olds - page 111 of 370
Number of problems found: 7388
- Circle inscribed
There is a triangle ABC and a circle inscribed in this triangle with a radius of 15. Point T is the point of contact of the inscribed circle with the side BC. What is the area of the triangle ABC if | BT | = 25 a | TC | = 26? - Bridge across the river
The width of the river is 89 m. For terrain reasons, the bridge deviates from a common perpendicular to both banks by an angle of 12° 30 '. Calculate how many meters the bridge is longer than the river. - Describes 55223
The minute hand is 30 cm long. The hour hand is half as short as the minute hand. How big a track describes its endpoint in a week. - The isosceles
The isosceles trapezoid ABCD has bases of 18 cm and 12 cm. The angle at apex A is 60°. What is the circumference and area of the trapezoid? - A vendor
A vendor bought an article for $900 and sold it for $1260. What is the profit percentage? - Skateboard
Petr wanted to buy a skateboard. But he had no money, so he asked his father and two brothers for help. His father gave him half of the amount his brothers gave him. His older brother gave him a third of what he received from the others. His younger broth - Initially 55051
The shop reduced the laptop by 20% to CZK 10,000. How much did CZK initially cost? - KOH
How many g of 20% KOH solution do we need to mix with 500 g of 30% KOH solution to obtain a 25% KOH solution? - Ice to boiling water
Calculate the heat needed to convert 5kg of ice at a temperature of -5°C to water with a temperature of 100°C. c (water) = 4200 J/°C/kg, c (ice) = 2100 J/°C/kg. The mass group heat of solidification of water is l = 334 kJ/kg. Calculate the heat that 1k g - Engineering 54971
Two engineering companies have the same production program. The first company would fulfill their orders in 20 days. The second company in 16 days. How long will the companies fulfill the order if the first company starts working 2 days earlier? - Perfect cube
Which of the following numbers is not a perfect cube? a. 64 b. 729 c. 800 d. 1331 - The library
Anna stored a total of 126 books in three compartments of the library. There are six more books in the first compartment than in the second. The number of books in the second compartment is the arithmetic average of the number of books in the first and th - Two numbers
One number is 79 more than the other. If we divide the larger number by the smaller one, we get the quotient five and the remainder 11. Determine both numbers. - Summands 54861
Can you divide the number 64.9 into three summands so that the first with the second is in the ratio 4:5 and the third with the first in the ratio 7:3? - Parallelogram 54791
Construct triangle ABC if c = 5cm, b = 7cm and a = 4cm. Then create a parallelogram axially symmetric with the line AC. Measure the size of the second diagonal of this quadrilateral. - Strawberries
Three people pick strawberries from 48 rows in 8 hours. How many hours do five people need to pick strawberries from 20 rows? - Lucka Lucka reads a thrilling novel about the holidays. She would read the book one day earlier if she read 16 pages daily instead of 14. How many pages does the novel have in total?
- Colorado
The state of Colorado is a rectangle. The map is sold on two posters. The first has 70 cm and 50 cm dimensions on a scale of 1:1,000,000. The second poster has dimensions of 175 cm and 125 cm. What is the scale of the second poster? - Three animals
Ramrao bought a cow, a buffalo, and an ox for a total of Rs 85,000. The ratio of the price of a cow, buffalo, and ox is 4:8:5. What is the price of an ox? - Wonderland
The cost of admission to Wonderland is 51.75. each bus we take costs 267.50 and holds 48 passengers. Suppose three classes of 27 and their teacher wanted to go. How much would they need to fundraise?
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