Maths practice for 14 year olds - page 189 of 362
Number of problems found: 7230
- 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 | = 8 cm, inscribed circle radius r = 1.5 cm - 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 a ticket for the auditorium costs y CZK. For the afternoon performance, 98 balcony tickets and 186 auditorium tickets were sold, earning a total of 10,970 CZK. For the evening performance, 127 balcony tickets and - 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? - Postage increase percentage
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. - Kinetic energy comparison
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. - Aircraft kinetic energy
The 150t aircraft takes off at a speed of 288 km/h and, after a while, reaches a speed of 900 km/h. Determine the change in the kinetic energy of the aircraft. - Ski equipment price
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 5 m. - Gravitational potential energy 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 1 m above the floor.
- Annulus outer radius
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? - Ice skates
The price of ice skates was raised twice, first by 25% and then by 10%. After the second price increase, their cost was 82.5 euros. What was the original price of the skates?
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