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Entrance test in mathematics in sixth grade

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Entrance test in mathematics in sixth grade

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Option 1

1. Perform the steps:

1,35 : ( 10 – 9,82) – 1 : 2,5

2. Solve the equation:

a) (x – 32.6) – 2.4 = 1.8; b) 11.2x + 3.7 = 7.06.

3. The boat took 3.2 hours downstream and 2.5 hours upstream. What way did the ship travel during all that time if its own speed is 28.8 km/h, and the speed of the stream is 2.2 km/h?

4. 65% of the field was sown, which is 325 hectares. Find the area of the entire field.

5. Find the arithmetic mean of the numbers 34.5; 32.7 and 30.9.

Option 2

1. Perform the steps:

17,39 : (15 – 14,26) – 6 : 12,5

2. Solve the equation:

a) 11.88 : ( y – 2.9) = 2.7; b) 13.6x – 3.64 = 1.8.

3. The boat’s own speed is 30 km/h, and the speed of the river flow is 2.2 km/h. At first the boat went 1.2 hours against the stream of the river, and then 0.8 hours upstream. What distance did the boat travel during all this time? 

4. Apples make up 22% of the dried fruit compote. How many kilograms of apples are in 8.5 kg of compote?

5. Find the arithmetic mean of the numbers 13.84; 14.23; 12.66; 15.03.

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