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McDowell Chapter 5 Practice Test 7th Grade Math

Show work whenever possible to receive partial credit.

1. Write a ratio for the situation in three ways.

A zoo has 17 monkeys and 11 apes.

2. Write two ratios equal to [pic].

3. Compare the ratios below. Tell whether they are equal or not equal.

[pic]

4. Write the ratio in simplest form.

[pic]

5. In Zelda’s home town, the ratio of cars to people is 350 to 1,000. Write this ratio in simplest form.

6. While picking a basketful of thirty apples, Mojo noticed that six apples had worm holes and had to be thrown away. What is the ratio of good apples to bad apples that were picked?

Write the unit rate for the situation. Round to the nearest hundredth if necessary.

7. paid $36,000 for a 6,000-word article

8. producing 1,482 parts in 6 hours

9. Derrike Cope won the 1990 Daytona 500, covering the 500-mile race in 3 hours and 1 minute. What was his average miles per hour in this race? Round your answer to the nearest tenth.

10. Find the total price using the unit price.

8 gal at $1.45 per gallon

11. Find the unit price.

$45.50 for 35 plates

12. Tom is buying a package of pencils at a store. The store sells packages of 7 pencils for $1.26 and 14 pencils for $1.96. Which package offers the better unit price?

13. An 18-ounce box of cereal costs $1.79. A 36 ounce box of the same cereal costs $3.50. Find the unit price for each size and explain which is the better buy.

14. Wayne wants to buy a car when he is sixteen. He has saved $647 for this purpose. He can afford to pay $12 a week. His grandparents will sell him their car for $1,655. In how many weeks will he fully pay for the car?

15. Determine which of the following pairs of ratios can form a proportion.

[A] [pic] [B] [pic] [C] [pic] [D] [pic]

16. Six ounces of a nutrition shake provides 2 grams of protein. Will 24 ounces of the drink provide 10 grams of protein? Explain.

Determine whether the ratios in the pair can form a proportion

17. [pic]

18. [pic]

19. If 3 cartons of peaches cost $14.70, how much will 7 cartons of peaches cost?

20. A piece of equipment that weighs 210 pounds on Earth would weigh 35 pounds on the Theta Space Station. If an astronaut weighs 162 pounds on Earth, what would the astronaut weigh on the Theta Space Station?

21. Solve the proportion.

[pic]

22. Are rectangles KLMJ and BCDA similar? Explain why or why not.

[pic]

23. Is each stripe on an American flag similar to all the others? Explain.

24. Given that [pic] solve for x.

[pic]

25. At the same time of day, a man who is 65 inches tall casts a 60-inch shadow and his son casts a 24-inch shadow. What is the height of the man’s son?

[pic]

26. Two ladders are leaning against a wall at the same angle as shown.

[pic]

How long is the shorter ladder?

27. [pic]

The ratio of the corresponding sides of the similar figures is 3 : 2.

What is the length of side A?

28. Use the scale [pic] to find the missing measure.

[pic]

29. A rectangle has a width of 60 centimeters. A drawing of the rectangle is made using a scale of 1 : 10. What is the width of the rectangle in the drawing?

30. On a map, the mileage scale is 1 cm : 30 mi. The border of Utah and Wyoming measures 3.7 cm. Approximately how many miles long is the actual border of Utah and Wyoming? Round your answer to the nearest ten miles.

31. On a map, the mileage scale is 1 cm : 30 mi. Approximately how many miles long is the southern border of Utah if it measures 9.5 cm on the map? Round to the nearest ten miles.

Reference: [5.1.1.1]

[1] 17 to 11, 17 : 11, [pic]

Reference: [5.1.2.10]

[2] Answers may vary. Sample answers: [pic]; [pic]; [pic]

Reference: [5.1.2.13]

[3] equal

Reference: [5.1.2.14]

[4] [pic]

Reference: [5.1.2.19]

[5] [pic]

Reference: [5.1.2.20]

[6] 24 : 6 or 4 : 1

Reference: [5.2.1.24]

[7] $6.00 per word

Reference: [5.2.1.25]

[8] 247 parts/h

Reference: [5.2.1.28]

[9] 165.7 mi/h

Reference: [5.2.2.31]

[10] $11.60

Reference: [5.2.2.34]

[11] $1.30 per plate

Reference: [5.2.2.39]

[12] 14 pencils for $1.96

Reference: [5.2.2.40]

[13] The 36-ounce box is the better buy, costing 9.7¢/oz. The 18-ounce box costs 9.9¢/oz.

Reference: [5.3.1.47]

[14] 84 weeks

Reference: [5.4.1.49]

[15] [C]

Reference: [5.4.1.53]

[16] No; [pic]

Reference: [5.4.2.57]

[17] Yes,[pic]

Reference: [5.4.2.58]

[18] No,[pic]but[pic]

Reference: [5.5.1.66]

[19] $34.30

Reference: [5.5.1.67]

[20] 27 lb

Reference: [5.5.2.70]

[21] 5.25

Reference: [5.6.1.74]

[22] Yes, they are similar. The corresponding angles in both polygons are congruent and the corresponding sides are proportional.

Reference: [5.6.1.78]

[23] No. The stripes adjacent to the stars and the stripes at the bottom of the flag have congruent widths, but different lengths, and therefore are not similar.

Reference: [5.6.2.80]

[24] [pic]

Reference: [5.6.2.82]

[25] [A]

Reference: [5.6.2.83]

[26] 22 ft

Reference: [5.6.2.85]

[27] 12

Reference: [5.7.1.88]

[28] 6

Reference: [5.7.1.92]

[29] 6 cm

Reference: [5.7.1.99]

[30] 110 miles

Reference: [5.7.1.100]

[31] 290 miles

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