# Examples for 6th grade (the sixth graders)

#### Number of problems found: 1301

- Angles in triangle

Calculate the alpha angle in the triangle if beta is 61 degrees and 98 gamma degrees. - Two-digit number

I am a two-digit number less than 20. When I divided by three, then you get the rest 1 and when you divide me by four you get also rest 1. What number am I? - The lowest

The lowest temperature on Thursday was 20°C. The lowest temperature on Saturday was 12°C. What was the difference between the lowest temperatures? - Pencil cut

Veronika cut 10cm pencil. Each turn, the pencil was reduced by 0.2mm. She turned the pencil 100 times. How many centimeters has a pencil now? - Cargo load

How many products weighing 12.5 kg can be loaded on a cargo car with a load of 1.5 t to load two-thirds? - Orchard

One-eighth of the trees in the fruit plant in winter froze and one-twelfth of damaged disease and pests. Healthy trees remained 152. Is it enough to supply 35 trees to restore the original number of trees in the orchard? - Scale of plan

On the plan of the village in the scale of 1: 1000 a rectangular garden is drawn. Its dimensions on the plan are 25mm and 28mm. Determine the area of the garden in ares. - The tourist

The tourist came started from the hostel at an average speed of 5km/h. Half an hour later, the bicyclist started along the same route at a speed of 20km/h. How many minutes will a cyclist catch up and how many kilometers will he go? - Two circles

Two circles with a radius 4 cm and 3 cm have a center distance 0.5cm. How many common points have these circles? - Almonds

Rudi has 4 cups of almonds. His trail mix recipe calls for 2/3 cup of almonds. How many batches of trail mix can he make? - Regrouping

Subtract mixed number with regrouping: 11 17/20- 6 19/20 - Average speed

Michal went out of the house by car at speed 98 km/h. He came into the goal place for 270 minutes. Determine the distance between the two places. - Dinosaurs

More than 30 and less than 60 dinosaurs have met at the pond. A quarter of them bathed and 1/7 saws and the rest gripped. How many were at the pond? How many were there? - Perimeter from area

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

Two-fifths of the passengers in the passenger boat were boys. 1/3 of them were girls and the rest were adult. If there were 60 passengers in the boat, how many more boys than adult were there? - Cakes

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

Walkway from the house to the school is 180 m long. How many more steps Michael makes than his father on the way to school, if the length of Michael's step is 60 cm and the length of his father's step is 90 cm. - Decide

The rectangle is divided into seven fields. On each box is to write just one of the numbers 1, 2 and 3. Mirek argue that it can be done so that the sum of the two numbers written next to each other was always different. Zuzana (Susan) instead argue that i - Videotape

Viera bought a videotape on which you can record programs with a total length of 240 minutes. She recorded a sci fi movie 1 hour and 28 minutes long, five ten-minute sessions "aerobics at home." Can she fits on the tape even film of Robin Hood who takes a - Wipes

The mummy wiped out the square wipes and the veil was next to each other on the cord stretched out between the two trees. She used a cord of 7.5 meters in length, requiring about 8 dm on each side of the trunk. All wipes are 45 cm wide. Among the wipes an

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