# Examples for 6th grade (the sixth graders) - page 32

- Alarm clock

The old watchmaker has a special digital alarm in its collection that rings whenever the sum of digits of the alarm is equal to 21. Find out when the alarm clock will ring. What is their number? List all options ... - Paper collecting

At the paper collecting contest gathered Franta 2/9 ton, Karel 1/4 ton and Patrick 19/36 tons of paper. Who have gathered the most and the least (x, y - write down the weights in tonnes). - Car consumption

The car has passed 988 kilometers and consumed 66 liters of petrol. What is the consumption per 100 kilometers? - Rhombus EFGH

Construct the rhombus EFGH where e = 6.7cm, height to side h: vh = 5cm - Peppers

In the box are yellow (a), green (b) and red (c) peppers. Their amount is in a ratio 2:4:1 . Most are yellow peppers and green the least. Calculate the number of peppers each type if the total number of peppers is 70. - Buildings

The school stands 110 m from the church, which is 100 m beyond the town hall. Which building are closer to the church and how many times? - Cakes

Grandmother baked cakes. Half of its was poppy, quarter with plum jam and 16 cheesecakes. How many cakes she baked in total? - Princess

Princess has lost 321 beads and Prince George are all trying to find. On the first day he found all but 83 beads. On the second day he found 68 beads. On the third day he found the rest, but the princess had lost 76. How many beads had Princess after the f - Father and son

Father is 44 years old, his son 16 years. Determine how many years ago was the father five times older than the son. - Foot in bus

It was 102 people on the bus. 28 girls had two dogs. A 11 girls had one dog. At the next stop seceded 5 dogs (even with their owners). They got two boys together with three dogs. The bus drove one driver. How many foot were in bus? - Gears

The gearing fits wheel with 20 teeth to the wheel with 36 teeth. Before starting the machine is stained tooth smaller wheels in the designated space between the teeth of the larger wheels. How many times after starting the machine wheels turning that stain - 3x square

Side length of the square is 54 cm. How many times increases the content area of square if the length of side increase three times? - Aunt

Annie aunt is 35 years old, Annie is 14 years. For how many years will aunt have twice as many years as Annie? - Perimeter from area

What is the perimeter of the square if its content is 64 cm^{2}? - Divide money

Divide 1200 USD at a ratio of 1:2:3:4:5:6:9:10 - Pumps 5

5 pump pumped in 3 hours 1800 hl of water. How many hectoliters of water pumped 4 equally powerful pumps in 6 hours? - Cube 2

How many times will increase if the surface area of the cube if we triple length of its edge? - Blades

1st blade 2,5 m, 2nd blade. .1.75 m. How many same long pieces of this two blades can be do the biggest? How long is one piece? - The tap

For one day flows 148 l of water out of the tap. How much water will flow out for 3/4 day? - Circle from string

Martin has a long 628 mm string . He makes circle from it. Calculate the radius of the circle.

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