Math practice for 13 year olds - page 77 of 414
Number of problems found: 8276
- Periodic function
Simplify by using periodicity cos 1125° - Rectangle perimeter area
The rectangle has a perimeter of 30 cm. The ratio of its sides a: b=2:3. Calculate the sides' lengths and the rectangle's area. - Trapezoid angle sizes
Given a trapezoid ABCD and the sizes of the interior angles. Angle SDC 32° SAD angle 33° SDA angle 77° Angle CBS 29°, where S is the intersection of the diagonals. What is the size of the angle BSA? - Class boy girl
Express the ratio. There are 12 boys and 16 girls in the class. a) In what ratio is the number of girls to the number of boys? b) In what proportion is the number of boys to the total number of pupils? - Boaters - boat
In summer Marek and Lukáš go on trips in a motor boat. On calm water the boat moves at a speed of v0 = 16 km/h. Both boys set out on a voyage along a river, the water in it relative to the bank moves at a speed of v1 = 4.0 km/h. They set off from the boat - Lathe shaft production
The performance of three lathes can be expressed by the ratio 3:5:8. The most powerful lathe produces 136 shafts per shift. How many shafts did each of the remaining lathes make per shift? - Half of money
Mr. Investor deposited half of his money in the bank at 5% interest. He invested the other half in bonds with 7% interest. How much money did he invest when his annual profit was CZK 600? - Restaurant payment comparison
Four students were paying the bill in the restaurant. Jan paid 7 rums and 20 beers, Adam 20 rums and 7 beers, Víťa 12 rums and 25 beers, and Dan 25 rums and 12 beers. Jan paid 20% less than Adam. By how much % less did Víťa pay than Dan? - Express train distance
The express train leaves place A at 19:20 and arrives in town B at 20:24. The average speed of the express train is 15 m/s. What is the distance between cities A and B? - Boat water speed The water in the river has a speed of 4.8 km/h relative to the bank. A boat in still water has a speed of 12.6 km/h. a) What is the boat's speed relative to the shore if it is sailing downstream and upstream of the river? b) What path will the boat travel
- General trapezoid In general trapezoid VLAK, the following are given: |VL| = 5.5 cm; |VK| = 3.5 cm; |LK| = 4.8 cm; |∠VLA| = 70°. Divide it into two triangles by drawing a diagonal. Label the newly created points. Write down the lengths of the line segments. Complete the co
- Pavol 3
Pavol and Roman trained on a running track of length 400 m. At a certain moment they ran from the start in the same direction and ran at a uniform motion. When Pavol, after completing five laps in time 6 min 40 s, passed the starting point again, he overt - Triangle angle determination
In one triangle, one angle is 43°, and the second is 15° less than the third. Determine the unknown angles of the triangle. - Cannon sound speed
A cannon fired at a distance of 2720 m from the observer. The sound of the shot was heard by the observer 8 seconds after the flash. Calculate the speed of sound propagation in the air if we assume that the observer saw the flash at the same time as the s - Egypt trip discount
A trip to Egypt was discounted by one-third of the price at the last minute. The discount was 5760 CZK. What was the original price of the tour? - School trip graders Sixth, seventh, and eighth graders took part in the school trip. Sixth graders were 5 more than seventh graders, and eighth graders were 3 less than sixth graders. How many sixth graders were on the trip if there were 73 students in total?
- Cone surface volume
The cone's surface is 75.36 cm, and the radius is 3 cm. Calculate the volume of the cone. - Car average speed
A car drives for an hour on the highway at a speed of 100 km/h, then for half an hour at a speed of 80 km/h, and for another half hour in the field at a speed of 20 km/h. What track did he run together? What is the average speed of the car? - Dye water proportion
Pour 9 dl of dye into 100 liters of water. What will be the proportion of dye in the resulting mixture? Express as a percentage. - Volleyball rack capacity Calculate how many volleyballs with a circumference of 65 cm fit into a cube-shaped rack whose edge is 100 cm long.
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