Maths practice for 14 year olds - page 90 of 375

Number of problems found: 7498

Ways
There are five roads from village A to village B, two roads from village B to village C, and only one road directly from village A to village C. In how many different ways can you get there: A) from village A to village C via village B? B) anyway from vil
Milan dessert options
The pastry shop has 10 types of desserts, 8 types of ice cream, and 3 types of hot chocolate. How many options does Milan have to choose from if: A) one sweet B) some dessert and 1 scoop of ice cream? C) Some dessert, 1 scoop of ice cream, and 1 hot choco
Odra river length
The length of the Odra in Moravia is 42% of its length in Poland. The total flow length from the source to the sea is 1165 km. What is the distance in Moravia, and what is the distance in km on the Polish side?
Match course possibilities
How many different courses could the match between AC Michalovci and Juvent Turiec have, which ended 2:1?
Dance couple pairs
Ten girls and seven boys are in the dance group. Only one mixed couple is to go to the competition. How many possible pairs can we choose from?
Skater equipment options
Miša is buying skater equipment. He chooses one of 2 helmets, one of three gloves, one of four knee pads, and one of two elbow pads. How many options does it have for buying equipment?
Mobile phone settings
Lucia's mobile phone offers a choice of 10 ringtones, seven tones when receiving an SMS, and 15 wallpapers in the background of the display. How many ways can Lucia set up her mobile?
Teacher 3
Teacher Ken is interested in buying a jacket at a discounted price. The price tag says the original price is Php 1250, which is 20% off. What would be his change if he gave the cashier Php 1000?
The price 3
The price of a notebook is 20 percent less than that of a book. By what percent is the book's price higher than the price of the notebook?
Swing balance lever
Two children with different weights sit on the swing, a lever with your shoulders. On the left side sits a child with a capacity of 30 kg, and on the right, a child with a capacity of 20 kg. One swing arm is 150 cm long. How would you seat the children so
Team creation options
The teacher wants to create one three-member team of four girls and four boys, with one girl and two boys. How many different options does it have to create a team?
Magnifying glass percentage
What magnification of magnifying glass in percent if the magnification is 4x?
PC price increase
The new type of PC became 15% more expensive before Christmas and is now being sold for CZK 13,800, which is 80% of the pre-Christmas (already higher) price. What was the original price of the PC before the price increase?
Cone roof consumption
The tower's roof has the shape of the shell of a rotating cone with a base diameter of 4.3 m. The deviation of the side from the plane of the base is 36°. Calculate the consumption of sheet metal to cover the roof, assuming 8% for waste.
Spherical layer
What is the volume of the spherical layer that remains after cutting the paragraphs on both sides of the ball, whose height is 3.5 cm? Is the diameter of the ball 24 cm?
Pump power
Determine the pump power if: I pour 3 m³ of water from the tank in 120 seconds with a hose. The height of the hose mouth above the tank is 1.5 m. The water's speed from the hose outlet is 20 m/s.
Triangle line ratio
The line p passes through the center of gravity T of the triangle and is parallel to the line BC. What is the ratio of the area of the divided smaller part of the triangle by the line p? What is the area of the triangle?
Fraction and ratios
Fraction and ratios are different names for the same thing.
TV screen width
The diagonal of the TV screen is 82 cm, and the height is 40 cm. Calculate the width of the screen.
Aircraft engine work
The aircraft weighs 61 tons. It climbed from a height of 1000 m to a height of 3000 m while increasing the speed from 170 m/s to 210 m/s. What work did the aircraft engines do?

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