Maths practice for 14 year olds - page 91 of 361
Number of problems found: 7217
- Safe key locks
We have to distribute the keys to the safe among four people so that no two of them can open the safe but in such a way that any three can open the safe. How many minimum keys do we need? How to divide them? How many minimum locks must be on the safe? All - Cart friction force
An 80 kg cart moving at constant speed along a horizontal road is subjected to a pulling force of 120 N. Specify: a) the magnitude of the frictional force b) the value of the coefficient of shear friction. - Spherical cap
Calculate the volume of the spherical cap and the areas of the spherical canopy if r = 5 cm (radius of the sphere), ρ = 4 cm (radius of the circle of the cap). - Prizes in a competition
In a competition announced for a design of a poster, the prizes for the first three winners are prizes of a total value of 9 500 Kč. The second prize has a value of two thirds of the first prize, and the third prize has a value of two thirds of the second - The temperature 28
The temperature rose 14 °C in 3 1/2 hours. At what rate, in degrees per hour, did the temperature rise? - Concert two parts
Matej and Tom enjoyed the concert of their favourite musical group from the beginning until the end. After its first part, a ten-minute intermission followed. The second part of the concert was 40% shorter than its first part. The musicians performed live - School grade expression
There are p first-year students in the school. There are 18% fewer sophomores than first-year students. There are 7 more third graders than sophomores and twice as many fourth graders as first- and second-year students combined. Express the number of pupi - Bread price increase
In April, a loaf of bread costs 42 CZK. Compared to March, this is an increase of 5 percent. What was the price a month ago? - Quadrilateral pyramid
What is the volume of a regular quadrilateral pyramid with a height of 30 cm and a slant height (wall height) of 50 cm? - Money multiplier reserve
The economy's money is 600 PJ (monetary units). The proportion of cash is 5%. All cash is in circulation, and none is hoarded. The optimal reserve ratio is 12%. Calculate the money multiplier - In the centre
In the centre of the city a new restaurant was opened. The customer can choose whether he wants penne, spaghetti or fusilli. He can have them salty with one of five sauces and a portion will according to his wish either be sprinkled, or not sprinkled with - Nail screw sales
The hardware store sold 1 kg of nails for CZK 400 and 1 kg of screws for CZK 800. How many kilograms of nails and how many screws did they sell if they sold a total of 5 kilograms and earned CZK 3,200. - Bank interest percentage
Kate had €660 in the bank, for which she received €33 in interest at the end of the year. What was the interest rate in percent? - Concert seating ways
Peter, Jano, Alice, and Rebecca attended a classical concert. How many different ways can they sit in the four free seats if Rebecca wants to sit with John? - Granddaughters seedling planting
Grandma bought 200 ingredients. Granddaughter Helen planted 20% more than granddaughter Dana. Granddaughter Eve planted 40 more seedlings than Dana. Granddaughter Susan planted 0.8 times more than Dana. How many seedlings did each of the granddaughters pl - 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 travel: A) from village A to village C via village B? B) from village A to - 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 Milo 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 chocol - 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 Michalovce and Juventus Turiec have had, 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?
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