Math Test and Strategy
Word Problems and Equations
Geometry
Science Test and Strategy
Science Question
100
The number of problems on the math test.
What is 60?
100
If a = 3, b = 5, and c = 2, what is the value of abc + (ab)/(b-c) + c?
What is 37?
100
A triangle has one angle measuring 45 degrees and a second angle measuring 95 degrees. What is the measure of the third angle?
What is 40 degrees?
100
The number of passages on the science test.
What is 7?
100
Suppose that 55 units of energy were released when a particular asteroid, under Set C conditions, hit Earth. According to Figure 1, the asteroid's diameter was most likely closest to which of the following? A. 0.05 km B. 0.1 km C. 0.5 km D. 1 km
What is B (.1 km)?
200
The amount of time per question on the math test.
What is 1 minute?
200
If 3(2x + 1) - 5 = 7, what is the value of x?
What is 3/2?
200
The length of a rectangle is 9 yards, and its perimeter is 20 yards. What is the ratio of the width of the rectangle to its length? A. 1/9 B. 20/81 C. 9/20 D. 9/10 E. 20/9
What is A, 1/9?
200
The amount of time per passage on the science test.
What is about 5 minutes?
200
According to Figure 2, for progressively larger asteroids, the average amount of time that elapses between consecutive impacts on Earth by asteroids with the same diameter: A. increases only B. decreases only C. varies, but with no general trend D. remains the same
What is A (increases only)?
300
The hard questions are worth more points than the easy questions. True or False?
What is FALSE?
300
For all real numbers a, b, c, and d, which of the following is an equivalent form of ba + cd? A. ac + db B. bd + ca C. bc + ad D. da + cb E. dc + ba
What is E?
300
Phyllis is building a scale model of a sailboat. One of the sails of the actual boat is a right triangle with one leg 12 feet long and the other leg 5 feet long. If Phyllis wants the longer leg of this sail on her model to be 8 inches long, how many inches long should the other leg be? A. 1 B. 1 5/8 C. 3 1/3 D. 5 E. 7 1/2
What is C, 3 1/3?
300
When I "Grasp" a science passage, this is what I should look for.
What are the variables, key terms, hypotheses, and conclusions?
300
According to Figure 3, for any given range of crater diameters, the percent of the surface of Mars that is covered by impact craters with those diameters is: A. less than that for Mercury or the Moon. B. less than that for Mercury but greater than that for the moon. C. greater than that for Mercury or the Moon. D. greater than that for Mercury but less than that for the Moon.
What is A (less than that for Mercury or the Moon)?
400
What you should do if you are not sure how to solve a problem and there are variables.
What is test the answer choices?
400
At 8 am on Monday, a bacteriologist cultures 10,000 bacteria of a certain species that typically doubles in number every 24 hours. From this information, what is the best prediction for the number of bacteria there will be at 8 am on the following Sunday morning?
What is 640,000?
400
What is the midpoint of a line segment whose endpoints have coordinates (-5, 3) and (15, -9) in the standard (x,y) coordinate plane? A. (-2, 6) B. (-1, 3) C. (5, -3) D. (10, -6) E. (10, 6)
What is C, (5, -3)?
400
This is the passage that you should save for last on the science section.
What is the conflicting view points passage? (Also correct: the all-text passage, the passage with 7 questions)
400
Suppose an asteroid, under Set C conditions, hit Earth to form a crater 20 km in diameter. Based on Figure 1 and other information provided, that asteroid impact most likely released an amount of energy closest to which of the following? F. 1,000 energy units G. 3,000 energy units H. 10,000 energy units J. 30,000 energy units
What is J (30,000 energy units)?
500
This is what your test booklet should look like after you finish taking the math section of the ACT.
What is annotated with all of your work shown?
500
The school bookstore pays its supplier $7.50 for each T-shirt plus a shipping charge of $20.00 for the entire T-shirt order. The bookstore will sell the T-shirts for $10.00 each. What is the minimum number of T-shirts the bookstore must order and sell to make a profit of at least $100?
What is 48 T-shirts?
500
If one side of a triangle is 10 inches long, which of the following could NOT be the lengths, in inches, of the other sides? F. 2 and 9 G. 3 and 5 H. 5 and 10 J. 10 and 10 K. 10 and 12
What is G, 3 and 5?
500
This is ABOUT how many questions you need to get correct to earn a 20 on the science section.
What is 20? (Answers between 18 and 22 are acceptable!)
500
Assume that an asteroid that hit Earth 65 million years ago was 10 km in diameter. Also assume that another 10 km asteroid will hit Earth in the future. If the amount of time that elapses between these consecutive impacts is equal to the average amount of time as given in Figure 2, a 10 km diameter asteroid will next hit Earth approximately: A. 35 million years from now B. 65 million years from now C. 100 million years from now D. 135 million years from now
What is A, 35 million years from now? (Figure 2 indicates that an asteroid with a diameter of 10 km hits the earth approximately every 100,000,000 years. If the last hit was 65 million years ago, the next one is do in 35 million more years, since 35 million plus 65 million equals 100).