Maths practice for 14 year olds - page 111 of 379
Number of problems found: 7575
- A paint
A paint tin is a cylinder of 12cm and a height of 22 cm. Leonardo, the painter, drops his stirring stick into the tin, and it disappears. Work out the maximum length of the stick.
- Nice two numbers
What two numbers do we give a sum of 30, a difference of 24 products of 81, and a quotient of 9?
- Children and horses
There are some children and horses in a field. Together they have 39 heads and 122 feet. How many children are in the field, and how many horses are in the field?
- Wall builders
If 12 men can build a wall 398 meters long in 48 days, how long would it take 33 men to build a wall 347 meters long? Answer to 3 decimal places.
- Four-digit 55481
Find all four-digit abcd numbers to which abcd = 20. ab + 16. cd, where ab and cd are double digits numbers from digits a, b, c, and d.
- Decimal to percentages
A) What is 1.18 as a percent? B) What is 0.38 in percent notation? C) Write 65% as a fraction. Simplify.
- In 2011
In 2011, assuming about 61.3% of the households in Colorado owned pets. Find the decimal notation for 61.3%.
- Construction 55441
By improving the work process, constructing a family house saved CZK 111,600, which was 5% of the total budget. What was the original budget for a family house?
- Serial resistors
In the circuit shown ( two resistors, R1 and R2, serially connected), the total resistance from A to B is 16 ohms. If the voltage between A and B is 10 V, find the resistance R2 and the current through the R1 = 12-ohm resistor.
- Given 2
Given g(x)=x²+x+1 where x=t². What is g(t²)?
- Peter and Lucy
In a group of 3 boys and 4 girls, two players are drawn to play a game. Among the girls is Lucy, and among the boys is Petr (both are the only ones with that name). The first one drawn will be the captain, the second the helmsman. What is the probability
- 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
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