Give me a big math exercise.

Fill in the blanks.

1. The side length ratio of two squares is 4∶ 1, the perimeter ratio is (), and the area ratio is ().

2. The ratio of girls to boys in a school is 4∶5, so girls are less than boys ()%, boys are more than girls ()%, and boys account for ()% of the whole school.

3. In a proportional formula, the ratio of two ratios is equal to 2, and the external terms of the ratio are 1.4 and 5. This proportional formula is ().

4. When certain, sum is proportional to (); At a certain moment, the sum is proportional to ().

5. The ratio of+=12 and ().

6. The sum is proportional to ().

7. Equivalent to: = (): ()

In 8.5% brine, the weight ratio of salt to water is ()

9. As shown in the figure, on each side of a square, the four corners of the square are truncated at two points where three sides are equal, and the area ratio of the truncated part to the remaining part is ().

10. On a precision part drawing (scale is 5: 1), the measured part is 40mm long, which is actually ().

Second, fill in the form.

compare

Simplified ratio

Find the ratio

9. 1∶6.5

0.375∶

∶

4: 2: 40

Third, multiple choice questions.

1.2∶ = , =( ).

①40 ②4 ③0.4 ④0.04

2.8∶5=( -7)∶ 15, =( ).

①2 1 ②24 ③3 1 ④32

3. Turn it into the simplest integer ratio ().

①4 ②4∶ 1 ③ 1∶4 ④ 1∶ 100

4. From the ground to the ground, it takes 3 hours for A and 2.5 hours for B. The simplest integer ratio of the speeds of A and B is ().

①3∶2.5 ② ∶ ③ 1∶4 ④ 1∶ 100

5. When × =×,: = ().

① ∶ ②5∶3 ③ 1∶ 15 ④3∶5

6. The number of A is 80% more than that of B, and the ratio of B to A is ().

①5∶4 ②4∶5 ③9∶5 ④5∶9

7. Subtraction is equivalent to the minuend, and the ratio of difference to subtrahend is ().

①4∶7 ②7∶4 ③4∶3 ④3∶4

8. Dissolve 5 kg of sugar in 100 kg of water, and the weight ratio of sugar to syrup is ().

① 1∶20 ② 1∶2 1 ③ 1∶ 19 ④ 19∶ 1

Fourth, judge that the two quantities in the following questions are out of proportion, and if so, point out what proportion.

1. The length and volume of the cube.

2. A rectangle has a certain length, width and circumference.

3. The circumference and diameter of the same circle.

4. Triangle has a certain area, base and height.

5. Radius and area of a circle.

6. When the concentration is constant, the amount of water and medicine.

7. When the task is fixed, the completed quantity and unfinished quantity.

Verb (abbreviation for verb) solution ratio.

1.∶0.5= 1.4∶

2.∶75%= ∶

4.0.6∶36%= ∶

Sixth, the application problem.

1. A batch of parts, each hour 12 pieces, completed in 50 hours. Now, how many more parts must be processed per hour than before to finish the task 10 hours ahead of schedule?

2. An office needs 360 square bricks with a side length of 0.2m.. If it is paved with square bricks with a side length of 0.3 meters, how many pieces can be used less?

3. There are two wires, one is 2 1 m long and the other is18m long. After cutting two wires with the same length, the remaining length ratio of these two wires is 10: 7. How long is the cutting part?

4. build a road, and the ratio of the repaired length to the unrepaired length is 3: 4. If we build another 200 meters, the ratio of the repaired length to the unrepaired length is 4: 3. How long is this road?

A hunting dog found a fox running in front of it at 18 meters and immediately ran after it. If the hound runs two steps, the fox has to run three steps, and if the hound runs five steps, the fox can run seven steps. How many meters can a hunting dog run to catch up with a fox?

Reference answer

Fill in the blanks.

1. The side length ratio of two squares is 4∶ 1, the perimeter ratio is (4∶ 1), and the area ratio is (16 ∶ 1).

2. The ratio of girls to boys in a school is 4∶5, so girls are less than boys (20%) and boys are more than girls (25%).

%, the ratio of boys to the whole school is (5 ∶ 9).

3. In a proportional formula, the ratio of two ratios is equal to 2, and the external terms of the ratio are 1.4 and 5. The proportional formula is (1.4: 0.7 = 10: 5).

4. When determined, sum is in (positive) proportion; At a certain moment, the sum is in direct proportion.

5.+= 12, and (non) ratio.

6. The sum is in (inverse) proportion.

7. Equivalent to: = (9): (8)

In 8.5% brine, the weight ratio of salt to water is (1: 19).

10. On a precision part drawing (scale is 5: 1), the measured part is 40mm long, and this part is actually 8mm long.

Second, fill in the form.

compare

Simplified ratio

Find the ratio

9. 1∶6.5

7∶5