Maths practice for 14 year olds - page 192 of 376
Number of problems found: 7509
- Distance between 2 points
Find the distance between the points (7, -9), (-1, -9)
- Three excursions
Each pupil of the 9A class attended at least one of the three excursions. There could always be 15 pupils on each excursion. Seven participants of the first excursion also participated in the second, 8 participants of the first excursion, and 5 participan
- Sports club
A sports club was purchasing new equipment. It bought three identical soccer balls and five identical volleyball balls. It spent a total of 4480 CZK on the balls, with the soccer ball being 320 CZK more expensive than the volleyball. Determine how much th
- Divide 8
Divide 6840 by x, y, and z in such a way that x has twice as much as y, who has half as much as z
- Calculated 10371
There are several hotels in the Sunny Beach resort. Among them are one-, two-, three- and four-star hotels. During the walk, Janka calculated that the sum of all the stars in the resort was 69. More than half of the stars belong to one-star hotels. The nu
- Red and white
Simona picked 63 tulips in the garden and tied bicolor bouquets for her girlfriends. The tulips were only red and white. She put as many tulips in each bouquet, three always red. How much could Simon tear off white tulips? Write all the options.
- Brothers and sister
I have four brothers. My mother was 22 years old when the oldest, Matthew, was born. Vlado is a year younger than him. There is a 3-year difference between Vlad and Ivan. Three years before Ivan was born, Hugo and he is two years older than me. I am now 1
- The Eiffel Tower
The top of the Eiffel Tower is seen from 600 meters at a 30 degree angle. Find the tower's height.
- The tractor
The tractor sows an average of 1.5 ha per hour. How many hours does it sow a rectangular trapezoid field with 635m and 554m bases and a long arm of 207m?
- Apples and pears
Apples cost 50 cents a piece, pears 60 cents a piece, bananas cheaper than pears. Grandma bought five pieces of fruit. There was only one banana, and I paid 2 euros 75 cents. How many apples and how many pears?
- Dividing money
Jane and Silvia are to divide 1200 euros in a ratio of 19:11. How many euros does Jane have?
- Determine: 10182
The lengths of the edges of two cubes are in the ratio 1:2, determine: a) the ratio of the area of the wall of the smaller cube to the area of the wall of the larger cube. b) the ratio of the surface of the smaller cube to the surface of the larger cube.
- 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?
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