Math practice for 13 year olds - page 200 of 424
Number of problems found: 8474
- Passengers 26071
Forty-eight people took part in the winning trip to Paris. There were 4 more family members than people who won the trip. People who did not win the trip but bought the trip from one of the winners were 6 less than half of the passengers on the bus. How m
- Calculate 26051
The base of the prism is a square with a side of 10 cm. Its height is 20 cm. Calculate the height of a pyramid with a square base of 10 cm, which has four times the prism's volume.
- Cuboid edges
Calculate the volume and surface of a cuboid whose edge lengths are in the ratio 2:3:4 and the longest edge measures 10cm.
- Ratio
Alena collected 7.8 kg of blueberries, 2.6 kg of blackberries, and 3.9 kg of cranberries. Express the ratio in the smallest natural numbers in this order.
- Book reading
Suzan reads a book. If she read half an hour a day, she would read it in nine days. How many minutes does he have to read a day if he wants to read it three days earlier?
- Number 25971
How much is 20% of number 200 less than 30% of number 300?
- Increase 25941
How many times does the volume of a cube increase if we enlarge its edge three times?
- Right angle
In a right triangle ABC with a right angle at the apex C, we know the side length AB = 24 cm and the angle at the vertex B = 71°. Calculate the length of the legs of the triangle.
- Temperature 25901
Calculate the speed of sound in the air a) at a temperature of t = 20 °C b) at a temperature of t = 27 °C
- Bike cost
The father gave his son € 100 to buy a bicycle, which was 40% of the total amount of the bicycle. How much did the bike cost?
- The cable car
The cable car is 2610 m long and rises at an angle of 35°. Calculate the height difference between the lower and upper station of the cable car.
- Construct 25851
A. Construct ∆ABC such that c = 55 mm, α = 45 °, β = 60 °. B. Draw any acute triangle and construct its heights.
- Sailing
Solve the following problem graphically. The fishing boat left the harbor early morning and set out to the north. After 12 km of sailing, she changed course and continued 9 km west. Then, When she docked and reached the fishing grounds, she launched the n
- Hectoliters 25821
The cistern of the public water supply has a cube-shaped interior. The edge of this cube is 5 m long. a) How much water is in the reservoir when it is completely filled? (Express this volume in m³ and hectoliters. ) b) How high does the water reach in the
- The tourist
The tourist walked a quarter of the way on the first day, a third of the rest on the second day, and 20 km on the last day. How many kilometers did he walk in three days?
- The cube
The cube has a surface area of 216 dm². Calculate: a) the area of one wall, b) edge length, c) cube volume.
- Two-thirds 25651
Two-thirds of the school's pupils went on a trip, one-sixth went on an excursion, and 30 pupils stayed while cleaning the school. How many students attend school?
- Calculate 25621
Calculate the area of a regular hexagon inscribed in a circle with a radius r = 7 cm.
- A farmer's heritage
A farmer died, leaving his 17 horses to his three sons. When his sons opened up the testament and read: My eldest son should get 1/2 (half) of the total horses; My middle son should be given 1/3rd (one-third) of the total horses; My youngest son should be
- Six workers
Six workers earned a total of CZK 12,600 per week on the construction site (5 working days). How much do seven workers earn in 10 days with the same daily average salary?
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