Math practice for 13 year olds - page 114 of 413
Number of problems found: 8253
- For the tournament 2
For the dodgeball tournament, 8 teams signed up, from which pairs were formed by draw. In the first round, each pair played one match. The winners played semifinal matches and the winners of the semifinals played the last, final match, which determined th - Street plan length
What length will the 120 m long street have on the plan at a scale of 1:1500? - Lake map scale
The air distance between the cottages on the same shore of the lake, 2.7 km, is the distance expressed by a line length of 36 mm. Find the scale of the map. - Map actual distance
On a tourist map with a scale of 1:50 000, the distance between Štrbské Pleso and Štrba is 14 cm. What is the actual distance? - Sidewalk plan marking
The sidewalk is 500 m long. How will it be marked on the plan on a scale of 1:200? - Hemisphere layer
Find the volume of the spherical layer that results from a hemisphere with a radius of 5 cm by cutting a paragraph whose height is 1.5 cm. - 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? - Goods shipment delivery
During the delivery of the goods, the postman delivered one-third of the consignment on the first day, two-fifths of the rest on the second day, and 300 pieces on the third day. How many goods were in the shipment? - Circle diameter ratio
You know the ratio of the circumference of the circle to the area is 4:9. What is the circle's diameter? - 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 - 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? - A recipe 3
A recipe calls for 1/2 cup of ingredient A for every 1 2/3 cups of ingredient B. You use 4 cups of ingredient A. How many cups of ingredient B do you need? - Car plank capacity
Will a car with a load capacity of 3.5 t carry 50 oak planks and dimensions of 30 cm, 4 m, and 30 mm at a time? - 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 - Storm distance sound
The sound travels at a speed of 1 km in 3 seconds. If the thunder is heard 12 seconds after the lightning, what distance is the storm? - 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? - Wooden 3 A wooden board 2.5 m long has a cross-section in the shape of a right-angled trapezoid whose parallel sides are 1.2 dm and 8 cm long. The height of the trapezoid is 3 cm. Calculate: a) the surface area of the board, to determine the amount of stain needed
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