Maths practice for 12-year-olds - page 68 of 354
Number of problems found: 7074
- Triangle angle ratio
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 - PIN code probability
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. - Butter chocolate price
I paid 36 crowns for butter and chocolate. Butter was CZK 6 more expensive than chocolate. How much did the chocolate cost? - Cube edge meter
How many cubes with an edge of 1 cm fit into a cube with an edge of 1 m? - Cube edge millimeter How many cubes with an edge of 1 mm fit into a cube with an edge of 1 cm?
- Number ratio sum
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 earnings soccer
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? - Purchase advantage comparison
Determine which purchase is more advantageous: ... ... - Katka marble total
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? - Free fall velocities
Calculate the instantaneous free fall velocities at the end of the 1st, 3rd, 5th, and 7th seconds. Compile the results in a table. - Fish mushroom respondents
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. - Garden area ratio
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 - Cuboid height base
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 - Eva number product Eva thought of two natural numbers. She first added these correctly, then subtracted them correctly. In both cases, she got a double-digit result. The product of the resulting two-digit numbers was 645. Which numbers did Eva think of? Please, what is this
- Martin number subtraction
Martin thinks of a number. Subtracting two-thirds of it and adding the number 8 gives the number 40. What is the original number that martin was thinking of?
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