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PART VI

Bob became curious about some of the symbols used in his older brother's plane geometry book.

1. Bob read that the symbol

means that two figures have the same size and

shape. In which of the following is the symbol used correctly?

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2. Bob also read that the symbol means that two figures have the same shape. In which of the following is the symbol ~ used correctly?

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3. Bob invented a new symbol, 2. He defined his symbol as meaning that two figures have the same shape, but that each side of the first figure is twice as long as the corresponding side of the second. In which of these is the symbol 2 used correctly?

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4. Bob found that symbols were used in different ways: to express a relationship, to tell you to perform an operation, and to label a quantity. Which one of the following symbols tells you to perform an operation?

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5. He discovered that > means "is greater than," < means "is less than," and = means "equals." If MN > PQ, and RS = TV, then

(A) MN+RS < PQ + TV

(B) MN+RS > PQ + TV
(C) MN+RS = PQ + TV

(D) MN+RS < or = PQ + TV

A seventh-grade class is studying health.

6. The class learned that 1⁄2 pint of milk supplies 12% of the protein needed by a person each day. About how many quarts of milk would supply all the protein needs of a person each day?

(E) 4 (F) 1⁄2 (G) 1 (H) 2

7. Some people suggest that the following formula be used to determine the number of hours of sleep needed during every 24-hour period by a person between the ages of 3 and 18:

H = 14

where H is the number of hours of sleep needed and A is the age of the person in years. According to this formula, for each year older a person gets, he needs

(A) hour less sleep

(B) 1 hour less sleep
(C) 1⁄2 hour more sleep

(D) 1 hour more sleep

8. The teacher gave the class the formula w = 5.5 (h — 60) + 110 for finding the average weight w in pounds for a given height h in inches whenever h is more than 60. According to this formula, an increase of one inch in height corresponds to what change in weight?

(E) An increase of 5 pounds

(F) An increase of 5.5 pounds

(G) An increase of 55 pounds

(H) An increase of 59 pounds

9. The class made the following summary of their weights:

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Which of the following graphs presents these data correctly?

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10. One boy in the class made a circle graph to show his daily schedule:

I. Sleep-

II. Recreation_-_

III. School._.

IV. Miscellaneous....

In which one of these graphs are the areas correctly labeled?

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When John applied for a permit to learn to drive, he was given a safety manual. The manual contained the following graph showing the number of feet it takes to stop a car traveling at different speeds on a dry pavement.

HOW MANY FEET BEFORE YOU CAN STOP?

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12. Which of these is the best guess of the top safe speed for stopping within a maximum distance of 200 feet?

(E) 40 miles per hour

(F) 50 miles per hour
(G) 160 miles per hour

(H) 170 miles per hour

13. John's father rounded a curve at 30 miles per hour and saw a truck stalled in the road. In how many feet could he stop his car?

(A) 40
(B) 60

(C) 70
(D) 80

14. At 40 miles per hour, which of the following best compares the braking distance Q with the reaction-time distance R?

(E) Q equals R.

(F) Q equals 2 times R.

(G) Qequals 3 times R.
(H) Q equals 4 times R.

15. For a speed of 90 miles per hour, the reaction-time distance is about

(A) 60 feet

(B) 80 feet

(C) 100 feet
(D) 120 feet

Mildred and her mother were preparing a turkey for roasting.

16. Their turkey weighed 14 pounds. A turkey this size should be roasted for 20 minutes per pound. Which of the following is the best time to start roasting this turkey in order to have dinner ready by 6 p.m.?

(E) 1 p.m.

(F) 2 p.m.

(G) 3 p.m.
(H) 4 p.m.

17. The cookbook recommends that % teaspoon of salt be used for each pound of Turkey. To find how much salt is needed for the 14-pound turkey, Mildred should

(A) divide 14 by %

(B) multiply 14 by 1%
(C) multiply 14 X 8
(D) divide 8 by 14

18. An average serving of turkey is of a pound including meat and bones. How many people an be served with a 14-pound turkey?

19.

Fewer than 10 people
PBerween 10 and 13 people

G Between 15 and 20 people

E More than 20 people

they planned to serve Caner for 8 people. how much of their 14-poundi arkey would be left over? Assume an average serving of pound.

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Elllor Smith helps his father care for their lawn and garden.

20. The Smiths' lawn is 30 feet wide and 30 feet long. The lawn mower cuts

a strip 18" wide. What is the minimum number of trips from one end of the awn to the other that must be taken to mow the lawn?

12

(F) 201
G 34

HD 40

21. Billot en eut the lawn alone in two hours. His father takes only one hour. How long would it take them if they worked together?

(A) Less than 1 hour

(B) 1 hour

(C) Between 1 and 2 hours

D 2 hours or more

22. Last year. Elliot's father planted 6 tomato plants in the garden. The average yield per plant was 40 tomatoes. This year he plans to grow 12 plants. With 12 plants. his average yield per plant is likely to

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23. A gardeners' manual recommends that trees be given 3 pound of plant food for each inch of trunk diameter. About how many pounds of plant food should Eliot's father use to feed a tree with a circumference of 22 inches? (c=rd)

(A) 7

(B) 21
(C) 25

(D) 65

24. In the diagram, the shaded area represents a walk around one of Mr. Smith's flower beds.

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The area of this walk is about how many square feet? (A=Tr2)

(E) 12

(F) 50
(G) 176
(H) 255

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