Maths practice for 12-year-olds - page 66 of 352
Number of problems found: 7031
- Production 81205
How many figurines can a potter make from 133 1/3 kg of clay if he needs 4/15 kg of clay to make one and 1/20 of the material is wasted during production?
- Companies 3
Companies supplying electricity to households use two rates. In 1996, the price for 1 kW was 1.10 CZK and night power was sold for 0.46 CZK per kW. In 1997, these rates were 1.28 CZK and 0.53 CZK. Express the ratio of the normal and cheaper rates in both
- Right-angled 81150
In the right-angled triangle ABC (the right angle at vertex C), the angle ratio is α : β = 5 : 3. Calculate the sizes of these angles and convert them to degrees and minutes (e.g., 45°20')
- Percentage - fence
We are painting a wooden fence. On the first day, we painted one-half of the fence. The next day, we painted half of the remaining part. On the third day, again, half of the remaining part. After the third painting, we had 12.5 meters of unpainted fence l
- Probability 81117
Martin forgot the 4-digit PIN, and he remembered the first three numbers. The fourth number is odd. What is the probability in % that he will be able to determine the PIN? He has only one attempt.
- Chocolate 81103
I paid 36 crowns for butter and chocolate. Butter was CZK 6 more expensive than chocolate. How much did the chocolate cost?
- Cubes 81088
How many cubes with an edge of 1 cm fit into a cube with an edge of 1 m?
- Cubes 81080
How many cubes with an edge of 1 mm fit into a cube with an edge of 1 cm?
- Numbers 81079
The ratio of the two numbers is 1:3. Half of the larger one is 135. What is the sum of the two numbers?
- Part-time 81067
I had 350 euros left over from the money I earned from the part-time job. I bought soccer cleats with half of the money I earned and a soccer ball with the other half. How much did I earn from the part-time job?
- Advantageous: 81060
Determine which purchase is more advantageous: ... ...
- Combined 81039
Katka has k marbles, Petra has 20 more marbles than Katka, and Lenka has 30 marbles less than Petra and Katka combined. How many marbles do they all have in total?
- Instantaneous 81036
Calculate the instantaneous free fall velocities at the end of the 1st, 3rd, 5th, and 7th seconds. Compile the results in a table.
- Respondents 81024
Out of 32 people, 22 like fish. Four fewer people will enjoy the mushrooms. Those who eat mushrooms or fish are 7 times more than those who do not eat mushrooms or fish. How many of the respondents have fish and mushrooms?
- Rectangle pool
The cube-shaped pool is 50 m long and 16 m wide. They poured 12,000 hl of water into it. Calculate the surface area of the pool that is wetted by water.
- Smaller 81015
Divide the area S=153 m² of the square garden in a ratio of 2:7. What part of the garden does the smaller part occupy?
- Red candles
For Christmas, the Veselá family made gel candles. Father Veselý filled the entire jar with green gel. Mother Veselá filled one-sixth of the jar with green gel and the rest with red. The daughter used the same amount of green and red gel, and the son pour
- King of Bohemia
King of Bohemia Charles IV divided the entire family wealth among all his descendants. Wenceslas IV received 5/18, his younger brother Sigismund of Luxembourg received 1/9 less from his father than Wenceslas IV. Jan Zhorelecki was assigned 6/63. Which of
- Volume 81001
The volume of the cuboid is 3/25 m³. The base area is 6/25 m². What is its height?
- Siblings 6
Siblings Martin and Jitka decided to visit a castle that is 10 km away from their home. Martin left at 7:30 and walked at a speed of 4 km/h. Jitka rode her bicycle behind him an hour and a half later and rode at a speed of 16 km/h. Did Jitka catch up with
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