Math practice for 13 year olds - page 53 of 414
Number of problems found: 8262
- PT - Pythagorean
A right triangle ABC has hypotenuse c and legs a and b. Estimate the length of the missing side and compare your estimate with the calculated value. a) a = 4 cm; b = 5 cm b) a = 6.8 m; b = 9 m c) a = 8.9 m; b = 1 m d) b = 10 cm; c = 20 cm e) b = 2.5 m; c - 23 students
The ninth-grade students went on a field trip in a number such that when seated at tables of 4, 5, or 6, there was always exactly one seat left empty. What is the smallest number of students who could have participated in the field trip? - Hollow block
A hollow block is a prism with base dimensions a = b = 29 cm and height v = 15 cm. The wall thickness is 4.5 cm. What percentage of the block's volume is its cavity? - Skiing trip
Ski equipment costs 4,560 CZK in the summer, but at the beginning of the ski season, it increases to 10,032 CZK. By what percentage is the winter price higher? - Vertical movement
Find the length of the vertical path you must travel to lift a weight using a force of 0.01 N and do 1 J of work. - Decadal - flower bed
The castle park includes a flower bed in the shape of a regular decagon with an area of 432.8 m². Determine the distance between adjacent vertices of the flower bed. - Clothing
Winter clothing was first reduced by 20% in the spring, and then the new price was reduced by a further 25%. What was the original price of a winter jacket if it was sold after the double discount for 1,050 CZK? - Paving 2
A construction company needs 8 working days to pave the pavements on two streets if all 6 pavers work. However, only 4 pavers are available because the other two have been reassigned. How many working days will it take the group of 4 pavers to complete th - Shadow - an observation tower
How tall is an observation tower if it casts a shadow 9.6 m long at the exact same moment that a half-metre pole casts a shadow 30 cm long? - Didactic test B0
A tourist cycled 28 km on an asphalt road and 25 km on a dirt road, taking 3 hours and 36 minutes in total. At what speeds did the tourist travel each section if he rode 1.4 times faster on the asphalt road than on the dirt road? - Capacity of iron
What was the initial temperature of an iron object weighing 30 kg that absorbed 3.5 kJ of heat when heated to 39 °C? The specific heat capacity of iron is 450 J/(kg·°C). - Calorimetric equation
A 200 g aluminium cylinder at 180 °C was dropped into 3 kg of water at 25 °C. At what temperature did the mixture stabilise? The specific heat capacity of water is 4,200 J/(kg·°C) and of aluminium is 896 J/(kg·°C). - Box
A paper box is in the shape of a cube. 2,400 cm² of paper was used to make it (not including folds for gluing the walls). Calculate the volume of the box. - Frames
A framer is to prepare 23 picture frames with dimensions of 30 cm × 42 cm. The strips from which he makes the frames are 3 metres long. a) How many frames can he make from one strip? b) How many strips will he need? - Find b from LCM
The least common multiple of 2,190 and b is 13,140. What is b? - Two-kilogram bread
Farmers harvested 3,000 kg of rye from one hectare, from which they obtained 2,500 kg of flour. From 3 kg of flour, 4 kg of bread can be made. Calculate how many m² of land were needed to grow the rye required for one 2-kilogram loaf of bread. - Emptying a tank
A water tank can be emptied by the first pump in 12 hours, by the second in 9 hours, and by the third in 4 hours. How many hours will it take to empty the tank if all 3 pumps are turned on simultaneously? - Gross Salary Calculation
An employee receives a net salary of 5,000 after a 15% income tax withholding. What was the gross salary? - Prepare
From two types of tea priced at 1,500 Sk/kg and 2,100 Sk/kg, 29 kg of a mixture priced at 1,650 Sk/kg is to be prepared. How many kilograms of each type of tea should be mixed? - Chord 24
A chord of length t = r√2 divides a circle with radius r into two circular segments. What is the ratio of the areas of these two segments?
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