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Answers to the first volume of the sixth grade mathematics series
1. Young pioneers collected more plant specimens than insect specimens 12. The number of plant specimens is 1.5 times that of insect specimens. How many specimens were collected?

Insects:12/(1.5-1) = 24 pieces.

Plants: 12+24=36 pieces.

2. Build a road, 30 meters in the first week, 50 meters in the second week, leaving 20 meters. What percentage of the total length is left?

Full length: 30+50+20 = 100m.

Remaining full length: 20/ 100=20%

fill-in-the-blank question

1.20 tons of soybean can squeeze out 3 tons of oil. To extract 9/8 tons of oil, 7.5 tons of soybeans are needed.

(9/8)/3 *20=7.5 tons

2. A rectangular pool, 5 meters long, 4 meters wide and 2 meters deep, with 32 cubic meters of water in it, with a water depth of (1.6) meters.

32/(5 * 4) = 1.6m

The quotient of a divided by b is 5.5, and the ratio of a to b is (5.5).

4.A number is two thirds of B number, and B number is what percentage of A number? What is the score of A in the sum of A and B?

If b is 1, then a is 2/3.

The number B is the number A: 1/(2/3)= 150%.

The number A accounts for the sum of two numbers: (2/3)/(2/3+ 1)=2/5.

What is the salt content of 5.20 grams of salt in 30 grams of water?

20/(20+30)=40%

4. The ratio of the length, width and height of a cuboid is 6: 3: 2, and the sum of the sides is 88 cm, so the bottom area of this cuboid is ().

The sum of length, width and height is: 88/4=22 cm.

6+3+2= 1 1 copy

Each serving: 22/ 1 1 = 2cm.

Length: 2× 6 = 12cm

Width: 2×3=6 cm

Height: 2× 2 = 4cm

Bottom area: 12×6=72 cm2.

Operational problem

A rectangle should be divided into two parts, so that one part accounts for 37.5% of the whole rectangle area. How to divide it? Draw it.

37.5%=3/8

Divide the rectangle into eight parts and take three of them.

Connect the midpoint of two groups of opposite sides and connect two diagonal lines.

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