Maths practice for 14 year olds - page 195 of 371
Number of problems found: 7414
- Vice-chairman 10181
The committee consists of 6 men and four women. How many ways can the chairman, vice-chairman, secretary, and manager be chosen so that a chairman is a man and the vice-chairman is a woman?
- Casey
Casey bought a 15.4-pound turkey and an 11.6-pound ham for Thanksgiving and paid $38.51. Her friend Jane bought a 10.2-pound turkey and a 7.3-pound ham from the same store and paid $24.84. Find the cost per pound of turkey and the cost per pound of ham.
- The ladder
The ladder has a length of 3 m and is leaning against the wall, and its inclination to the wall is 45°. How high does it reach?
- The cable car
The cable car is 3,5 kilometers long and climbs at a 30 degrees angle. What is the altitude difference between the Upper and Lower stations?
- Two pen
Two pens and one notebook costs $56. One pen costs 1/5 of one notebook. How much is one notebook?
- Company logo
The company logo consists of a blue circle with a radius of 4 cm and an inscribed white square. What is the area of the blue part of the logo?
- The tickets
The tickets to the show cost an integer greater than 1. Also, the sum of the price of the children's and adult tickets and their products was the power of the prime number. Find all possible ticket prices.
- AMSL and skiing
Tomas skis from point A (3200m above sea level) to place B. The Hill has a 20% descent. The horizontal distance between the start and finish is 2.5 km. At what altitude is point B?
- Age problems
A) Alex is three times as old as he was two years ago. How old is he now? b) Three years ago, Casey was twice as old as his sister. Now, he is five years older. How old is Casey? c) Jessica is four years younger than Jennifer now. In 10 years, Jessica wil
- Subtract 10001
For five whole numbers, if we add one to the first, multiply the second by the second, subtract three from the third, multiply the fourth by four, and divide the fifth by five, we get the same result each time. Find all five of the numbers that add up to
- Area of a rectangle
Calculate a rectangle area with a diagonal of u = 12.5cm and a width of b = 3.5cm. Use the Pythagorean theorem.
- Kilometers 9941
Petra got so excited about the cycling race that he started training every day. He notices that he travels 10 km in as many minutes as his average speed in kilometers per hour. His last training route was 50km. How long did it take him to cross it?
- Right pyramid
A right pyramid on a base 4 cm square has a slanted edge of 6 cm. Calculate the pyramid's volume.
- Isosceles 9881
The area of an isosceles right triangle is 32 cm square. What is his circuit?
- Much-expected 9871
The train travels at an average speed of 75 km/h. According to the timetable, he should be at the station in 11 minutes, but he still has 20 km to go. How much-expected delay will appear on the station information board?
- Camel and water
84% of the camel's weight is water. After drinking, its weight increased to 832 kg, and water accounted for 85% of its weight. How much did it weigh before drinking?
- Circumference 9811
Kristýna chose a certain odd natural number divisible by three. Jakub and David then examined triangles with a circumference in millimeters equal to the number selected by Kristýna and whose sides have lengths in millimeters expressed by different integer
- Interest 9791
From € 800 for six months at an interest rate of 7.5% per annum; and - simple interest b - compound interest
- Monkeys 9751
Two monkeys were sitting on a tree, one at the top and the other 10 cubits from the ground. Both wanted to drink from a spring that was 40 cubits away. One monkey jumped to the spring from the top and flew the same path as the other monkey. How long did t
- Triangle's 9731
Solve the triangle ABC if the side a = 52 cm, the height on the other side is vb = 21 cm, and the triangle's area is S = 330 cm².
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