Maths practice for 14 year olds - page 86 of 378
Number of problems found: 7551
- 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 20km/h and 60km/h downhill. The distance from the mountain's summit to its destination is 30 km. Calculate the average speed o
- Distribute 70244
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
- Coefficient 70214
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).
- The temperature 28
The temperature rose 14°C in 3 1/2 hours. At what rate, in degrees per hour, did the temperature rise?
- Second-year 69854
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
- Increase 69844
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 69834
What is the volume of a regular quadrilateral pyramid? The pyramid height is 30 cm, and the wall height is 50 cm.
- Circulation 69814
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
- Kilograms 69724
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.
- Percentage 69704
Katka had € 660 in the bank, for which she received interest of € 33 at the end of the year. What percentage was the interest?
- Classical 69634
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' 69604
Grandma bought 200 ingredients. Granddaughter Lenka planted 20% more than granddaughter Danka. Granddaughter Eva planted 40 more seedlings than Danka. Granddaughter Zuzka planted 0.8 times more than Danka. How many seedlings did each of the granddaughters
- 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 get there: A) from village A to village C via village B? B) anyway from vil
- Chocolate 69554
The pastry shop has 10 types of desserts, 8 types of ice cream, and 3 types of hot chocolate. How many options does Milan 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 choco
- Distance 69524
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?
- Michalovci 69494
How many different courses could the match between AC Michalovci and Juvent Turiec have, which ended 2:1?
- Competition 69474
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?
- Equipment 69464
Miša is buying skater equipment. He chooses one of 2 helmets, one of three gloves, one of four knee pads, and one of two elbow pads. How many options does it have for buying equipment?
- Wallpapers 69424
Lucia's mobile phone offers a choice of 10 ringtones, seven tones when receiving an SMS, and 15 wallpapers in the background of the display. How many ways can Lucia set up her mobile?
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