Maths practice for 14 year olds - page 189 of 378
Number of problems found: 7550
- Two cylinders
There are two cylinders, one with oil and one with an empty oil cylinder, with no fixed value assumed infinitely. We are pumping out the oil into an empty cylinder with a radius =1 cm, height=3 cm, rate of pumping oil is 9 cubic centimeters per sec. We ar - 1st drug
The first drug pack has an active ingredient ratio of L1: L2 = 2:1 The second drug pack has a ratio of active ingredients L1: L2 = 1:3 Which ratio do we have to mix the two packages so that the ratio of substances L1: L2 = 1:2? - Two integers
Two integers, a, and b, have a product of 36. What is the least possible sum of a and b? - Construct rhombus
Construct rhombus ABCD if given diagonal length | AC | = 8cm, inscribed circle radius r = 1.5cm - Rectangular garden
The perimeter of Peter's rectangular garden is 98 meters. The width of the garden is 60% shorter than its length. Find the dimensions of the rectangular garden in meters. Find the garden area in square meters. - Two ports
From port A on the river, the steamer started at an average 12 km/h speed towards port B. Two hours later, another steamer departed from A at an average speed of 20 km/h. Both ships arrived in B at the same time. What is the distance between ports A and B - In theatre 2
A ticket for the balcony costs x CZK, and for the auditorium costs y CZK. For the afternoon performance, they sold 98 tickets for the balcony and 186 tickets for the auditorium, earning a total of 10970 CZK. For the evening performance, they sold 127 balc
- Apple variete
This year, my uncle harvested 350 kg of apples, including 105 kilograms of Ontario and the rest of Jonathan's apples. Determine the percentage of the Jonathan apples. - Art school
Every fifth pupil of 9A class goes to art school. How many percent of pupils in class 9A go to art school? - Percentage 12501
Postage for packages has increased to 7/5 of the original price. What percentage has the postage for packages increased? - A hammer
A hammer weighing 500 g hits the nail at a speed of 3 m/s. What is the average force acting on the nail, which penetrates the board to a depth of 5 cm? - Energy on impact
A stone weighing 200 g falls in a free fall for 3 s. Find its kinetic energy on impact. - Weighing 12471
Compare the kinetic energy of a man weighing 80 kg who runs at a speed of 2 m/s and missiles weighing 20 g fired at 400 m/s. - Determine 12461
The 150t aircraft takes off at a speed of 288km/h and, after a while, reaches a speed of 900km/h. Determine the change in the kinetic energy of the aircraft. - Calculate 12451
Petr found out that he would save CZK 1,680 with a 24% discount when selling winter goods. Calculate the original price of ski equipment.
- The elevator
The elevator car weighing 400 kg rises from the third to the fifth floor. By what value will the potential gravitational energy of the cabin increase? What useful work will the elevator motor do? The height of one floor is 5m. - Gravitational 12411 We lift a weight of 2 kg to a height of 50 cm above the top of the table. Determine its gravitational potential energy: a) relative to the tabletop, b) relative to the floor if the table top is 1m above the floor.
- Determine 12331
An annulus with an area S = 4.2 square meters has an inner radius r = 2.25 m. Determine the outer radius of the annulus. - An animal shelter
An animal shelter costs $5.50 per day to care for each bird and $8.50 per day for each cat. On Wednesday, Nicole noticed the shelter spent $283.00 caring for birds and cats. Nicole found a record showing a total of 40 birds and cats on Wednesday. How many - Land boundary
The land is a right triangle. Its hypotenuse is 30 meters long, and its circumference is 72 meters. What are the sizes of the remaining sides of the land boundary?
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