Maths practice for 14 year olds - page 285 of 319
Number of problems found: 6375
- Tractor wheels
Smaller tractor wheel has a circumference of 3 meters, bigger 4 meters. On what path executes smaller wheel six turns over bigger?
- Numbers
Write the smallest three-digit number in divisions 5 and 7, and give the rest 2.
- Right triangle
Draw a right triangle ABC if |AB| = 5 cm |BC| = 3 cm, |AC| = 4 cm. Draw Thales circle above the hypotenuse of the triangle ABC.
- Clocks
How long does the track travel the second hand of a clock in 30 hours, which is 4 cm long?
- Rectangular trapezoid
Calculate the area of a rectangular trapezoid with a right angle at point A and if |AC| = 4 cm, |BC| = 3 cm, and the diagonal AC is perpendicular to the side BC.
- Stock
Enterprise sold 7/12 of its products to foreign markets, and 2/5 of the remainder was sold at home. How many % of the products are still in stock?
- Two workers
Two workers together execute some work in 10 days. The first worker would have done it himself in 20 days. How many days would they have done himself a second worker?
- Car rent
Rental cars are paid a fixed daily fee plus 16 cents per kilometer traveled. Samuel wants to rent a car for a day and work out, which will cost 175 euros. When paying, he got a 20% discount on the daily fee, and the cost per kilometer was unchanged. Samue
- Holidays
Of the 35 students in the class, seven were on holiday in Germany and just as many in Italy. Five students visited Austria. There were 21 students in none of these countries. One student visited all three. There were two students in Italy and Austria and
- Two months
Mars has two months, Phobos and Deimos. Phobos orbit around Mars in 7 hours 39 minutes, and Deimos in 30 hours 14 minutes. How long will the relative positions of the three celestial bodies repeat?
- Calcium and citality
The daily dose of calcium was obtained using 0.75 liters of milk and 60 grams of cheese. a/ In the morning, I drank half a liter of milk. How much cheese must I eat to consume a daily dose of calcium? b/ I ate 50 grams of cheese. How much milk must I drin
- Tetrahedral pyramid
Calculate the volume and surface area of a regular tetrahedral pyramid; its height is $b cm, and the length of the edges of the base is 6 cm.
- Juice box 2
The box with juice has the shape of a cuboid. Internal dimensions are 15 cm, 20 cm, and 32 cm. Suppose the box stays at the smallest base juice level and reaches 4 cm below the upper base. How much internal volume of the box fills juice? How many cm below
- The confectionery
The confectionery sold five kinds of ice cream. If the order of ice cream does not matter, how many ways can I buy three kinds?
- Copiers
The new copier is copying a folder of papers 5 minutes faster than the old one. The operator used a new one, but it was out of toner, and the exchange took 5 minutes at that time, copied on the old one. The whole work was done in 9 min. How long would the
- 10 pieces
How to divide the circle into ten parts (geometrically)?
- The city
In the city, 2/4 of women are married to 3/4 of men. What percentage of townspeople is single (not married)?
- Salt
One ton of seawater contains 25 kg of salt. How many tons of seawater must be evaporated to obtain 2 q of salt?
- Sisters
Sisters Janka and Danka have 220 CZK saved together. She wants to take a fifth of her savings and Danka's quarter on a trip to Janka. Then, they will have 50 CZK on the trip. How much money did Janka and Danka have?
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