Workspace English Test 70
← Back to English
OFFICIAL ACT Form 64E · April 2007

English

31 questions ~9 min recommended
00:00
Score

Unbricking a kiln after a firing is like a person uncovering buried treasure. As the potter takes bricks away to create an opening into the oven1, an expanding view of gleaming shapes rewards the artist for months of hard work. The process of creating ceramics begins in a studio. My friend Ellen is typical of many more potters in that some pieces she shapes on a spinning potter's wheel and others she builds on a work table from coils or slabs of clay. Over many weeks, as time goes by2, her collection slowly grows: clay bowls, cups, vases, and sculptures fill the studio. She dries them on racks, dips them in glazes, and dries them again. At last, Ellen will have enough pieces for a firing. She then carries the assortment outside to the wood-fired kiln, it is a brick structure designed to bake pottery to a hardness and transform glazes to glorious colors that drying alone won't achieve. The chamber is just big enough for her to crouch in as she carefully arranges the pieces inside. When the objects are in place, she backs out gingerly and seals the chamber shut with bricks. The next morning, using twigs for kindling she starts a small blaze in the firebox, located directly below the main chamber. The fire grows steadily throughout the day as she feeds it lumber scraps and then logs. By nightfall a controlled inferno roars in the kiln. Occasionally3, the fire chugs like a train engine, hungry for more oxygen. Each time the fire is stoked, sparks shoot from the chimney into4 the night sky. Periodically, Ellen looks through a porthole in the wall of the kiln to determine the fire's intensity. The clay pieces gleam white-hot amid the flames. At last, when the temperature soars out of sight5, she knows the firing is nearing its end. Having died down, she bricks up the firebox as well, sealing the remaining heat inside. In a few days, when the kiln has cooled, Ellen opens the chamber, revealing the results of her labor and of the fire's magic. Each piece shines as it meets the light of day.

Banneker quickly became engrossed in his studies 6 and began to calculate the paths of the Sun, Moon, and other celestial bodies. Using them, he predicted a solar eclipse that occurred the next year. He also began to calculate annual tables of yearly sets of astronomical data, which became the basis for almanacs published under his name from 1792 through 1797.

Kayaks are lightweight canoes originally used for hunting and fishing by the Inuit peoples of the northern coasts of North America. Today, many people use kayaks recreationally for white-water sports and for touring wilderness areas that are extremely wild.

Some live in airless seams of burning rock; miles beneath Earth's surface and around the hydrothermal vents of deep-sea volcanoes. Others, salt-encrusted, "sleep" in ancient caverns, waking after centuries to feed and to be bred.

1. The writer would like to suggest the potter’s cautious pace and sense of anticipation in opening the kiln. Given that all the choices are true, which one best accomplishes the writer’s goal?

2. The writer would like to suggest the potter’s cautious pace and sense of anticipation in opening the kiln. Given that all the choices are true, which one best accomplishes the writer’s goal?

3. Which of the following alternatives to the underlined portion would NOT be acceptable?

4. Which of the following alternatives to the underlined portion would NOT be acceptable?

5. Given that all the choices are true, which one provides the most specific detail and maintains the style and tone of the essay?

6. If the writer were to delete the last part of the preceding sentence (ending the sentence with a period after the word studies), the paragraph would primarily lose:

7. Which choice provides the most logical arrangement of the parts of this sentence?

8. Which of the following alternatives to the underlined portion would NOT be acceptable?

9. Which choice provides the most logical arrangement of the parts of this sentence?

10. Which of the following alternatives to the underlined portion would NOT be acceptable?

11. Given the triangle shown below with exterior angles that measure x°, y°, and z° as shown, what is the sum of x, y, and z?

12. If the information in the table were converted into a circle graph (pie chart), then the central angle of the sector for Gomez would measure how many degrees?

13. Which of the following is the slope of a line parallel to the line y = -2/3x - 4 in the standard (x,y) coordinate plane?

14. Janelle cut a board 30 feet long into 2 pieces. The ratio of the lengths of the 2 pieces is 2:3. What is the length, a to the nearest foot, of the shorter piece?

15. What values of x are solutions for x² + 2x = 8?

16. For all a > 1, the expression (1/3)a^4 equals:

17. If point M has a nonzero x-coordinate and a nonzero y-coordinate and the coordinates have opposite signs, then point M must be located in which of the quadrants labeled below?

18. The fixed costs of manufacturing basketballs in a factory are $1,400.00 per day. The variable costs are $5.25 per basketball. Which of the following expressions can be used to model the cost of manufacturing b basketballs in 1 day?

19. In the figure below, where ΔABC ∼ ΔKLM, lengths given are in centimeters. What is the perimeter, in centimeters, of ΔABC?

20. If (1/3)(1/7) = (1/3)(1/7) is true, then a =?

21. A hot-air balloon 70 meters above the ground is falling at a constant rate of 6 meters per second while another hot-air balloon 10 meters above the ground is rising at a constant rate of 15 meters per second. To the nearest tenth of a second, after how many seconds will the balloons be the same height above the ground?

22. A hiking group will go from a certain town to a certain village by van on 1 of 4 roads, from the village to a waterfall by riding bicycles on 1 of 2 bicycle paths, and then from the waterfall to their campsite by hiking on 1 of 6 trails. How many routes are possible for the hiking group to go from the town to the village to the waterfall to their campsite?

23. A formula used to compute the current value of a savings account is A = P(1 + r)^n, where A is the current value; P is the amount deposited; r is the rate of interest for 1 compounding period, expressed as a decimal; and n is the number of compounding periods. Which of the following is closest to the value of a savings account after 5 years if $10,000 is deposited at 4% annual interest compounded yearly?

24. The table below shows the total number of goals scored in each of 43 soccer matches in a regional tournament. What is the average number of goals scored per match, to the nearest 0.1 goal?

25. As shown in the standard (x,y) coordinate plane below, P(6,6) lies on the circle with center (2,3) and radius 5 coordinate units. What are the coordinates of the image of P after the circle is rotated 90° clockwise about the center of the circle?

26. For right triangle ΔKLM below, what is sin ∠M?

27. In the figure below, B lies on AC, BD bisects ∠ABE, and BE bisects ∠CBD. What is the measure of ∠DBE?

28. If there are 8 × 10² hydrogen molecules in a volume of 4 × 10⁴ cubic centimeters, what is the average number of hydrogen molecules per cubic centimeter?

29. In the figure below, a radar screen shows 2 ships. Ship A is located at a distance of 20 nautical miles and bearing 170°, and Ship B is located at a distance of 30 nautical miles and bearing 300°. Which of the following is an expression for the straight-line distance, in nautical miles, between the 2 ships?

30. What rational number is halfway between -1/5 and 1/3?

31. In isosceles trapezoid ABCD, AB is parallel to DC, ∠BDC measures 25°, and ∠BCA measures 35°. What is the measure of ∠DBC?