Maths practice for 14 year olds - page 91 of 362
Number of problems found: 7228
- Quadrilateral 4S prism
The edge lengths of a quadrilateral prism are in the ratio a:b:c = 2:4:5. The surface of the prism is 57 cm². Calculate the volume. - Runner opposite speed
Two runners train on a circular track that is 375 m long. When they start from the same place and run in opposite directions, they meet in 30 seconds. When they run in the same direction, they are 15 m apart in 30 seconds. What is the average speed of eac - A cyclist
A cyclist rides for 30 minutes on a style road to the top of a mountain. Down there, the road goes downhill. Its uphill speed is 20 km/h and 60 km/h downhill. The distance from the mountain's summit to its destination is 30 km. Calculate the average speed - 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
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