New SAT Math (Calculator) Practice Test 2
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Carlos and Katherine are estimating acceleration by rolling a ball from rest down a ramp. At 1 second, the ball is moving at 5 meters per second (m/s); at 2 seconds, the ball is moving at 10 m/s; at 3 seconds, the ball is moving at 15 m/s; and at 4 seconds, it is moving at 20 m/s. When graphed on an xy-plane, which equation best describes the ball’s estimated acceleration where y expresses speed and x expresses time?
y = 5x + 5
y = 25x
y = 5x
y = (4x + 1)2 + 5
If f(x) = 2x2 + 4 for all real numbers x, which of the following is equal to f(3) + f(5) ?
f(4)
f(6)
f(10)
f(15)
Line l contains points (3, 2) and (4, 5). If line m is perpendicular to line l, then which of the following could be the equation of line m ?
x + 5y = 15
x + 3y = 15
3x + y = 5
-5x + y = 1⁄3
x y
-3 -7
-1 -3
2 3
Based on the chart above, which of the following could express the relationship between x and y ?
y = x - 4
y = 2x - 1
y = 2x + 2
y = 3x - 3
If f (x) = , what is the smallest possible value of f (x) ?
Zero
2⁄3
1
2
Of all the houses in a certain neighborhood, 80% have garages. Of those houses with garages, 60% have two-car garages. If there are 56 houses with garages that are not two-car garages, how many houses are there in the neighborhood?
93
117
156
175
| Milligrams of Gold | |||||
|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |
| Limestone | 0.45 | 0.58 | 0.55 | 0.42 | 0.41 |
| Granite | 0.94 | 0.87 | 0.82 | 0.55 | 0.73 |
| Gneiss | 0.38 | 0.60 | 0.37 | 0.40 | 0.34 |
Five samples of each of three different rock types were collected on a hiking trip in Colorado. Each sample was analyzed for its gold content. The milligrams of gold found in each sample are presented in the table above. What is the percent difference of the average gold content in the granite samples when compared to the average gold content of the gneiss samples?
The gold content in the gneiss samples is 62% higher than the gold content in the granite samples.
The gold content in the granite samples is 62% higher than the gold content in the gneiss samples.
The gold content in the gneiss samples is 87% higher than the gold content in the granite samples.
The gold content in the granite samples is 87% higher than the gold content in the gneiss samples.
| SPICE PRICES OF DISTRIBUTOR D | |
| Spice | Price Per Pound |
| Cinnamon | $8.00 |
| Nutmeg | $9.00 |
| Ginger | $7.00 |
| Cloves | $10.00 |
The owner of a spice store buys 3 pounds each of cinnamon, nutmeg, ginger, and cloves from distributor D. She then sells all of the spices at $2.00 per ounce. What is her total profit, in dollars?
(1 pound = 16 ounces)
$192
$282
$384
$486
A total of 140,000 votes were cast for two candidates, Skinner and Whitehouse. If Skinner won by a ratio of 4 to 3, how many votes were cast for Whitehouse?
30,000
40,000
60,000
80,000
The amount of time that Amy walks is directly proportional to the distance that she walks. If she walks a distance of 2.5 miles in 50 minutes, how many miles will she walk in 2 hours?
4.5
5
6
6.5
The scatterplot above shows the weight, in ounces, of the fruits on a certain truffula tree from days 55 to 85 after flowering. According to the line of best fit in the scatterplot above, which of the following is the closest approximation of the number of days after flowering of a truffula fruit that weighs 5.75 ounces?
63
65
77
81
Sai is ordering new shelving units for his store. Each unit is 7 feet in length and extends from floor to ceiling. Sai’s store has 119 feet of wall space that includes 21 feet of windows along the walls. If the shelving units cannot be placed in front of the windows, which of the following inequalities includes all possible values of r, the number of shelving units that Sai could use?
r ≤ 119 - 21 + 7r
r ≥ 119 + 21 - 7r
If x2 + 12x = 64 and x > 0, what is the value of x ?
2
4
8
16
The population, P, of Town Y since 1995 can be estimated by the equation P = 1.0635x + 3,250, where x is the number of years since 1995 and 0 ≤ x ≤ 20. In the context of this equation, what does the number 1.0635 most likely represent?
The estimated population of town Y in 1995
The estimated population of town Y in 2015
The factor by which the population of town Y increased yearly
The factor by which the population of town Y decreased yearly
A toy pyramid (not shown) is made from poly(methyl methacrylate), better known by its trade term Lucite. The toy pyramid has a regular hexagonal base of 15 cm2 and a height of 4 cm. In the base of the pyramid, there is a semispherical indentation 2 cm in diameter. If the pyramid weighs 21.129 g, then what is the density of Lucite? (Density equals mass divided by volume.)
1.06 g/cm3
1.18 g/cm3
2.09 g/cm3
6.51 g/cm3
ΔABC is equilateral and ∠AEF is a right angle. D and F are the midpoints of AB and AC, respectively. What is the value of w ?
1
√3
2
2√3
In the figure above, x || y. What is the value of a ?
b + c
2b - c
180 - b + c
180 - b - c
Martin wants to know how tall a certain flagpole is. Martin walks 10 meters from the flagpole, lies on the ground, and measures an angle of 70° from the ground to the base of the ball at the top of the flagpole. Approximately how tall is the flagpole from the ground to the base of the ball at the top of the flagpole?
3 m
9 m
27 m
29 m
In the figure above, what is the length of ?
8
9
12
15
If a rectangular swimming pool has a volume of 16,500 cubic feet, a uniform depth of 10 feet, and a length of 75 feet, what is the width of the pool, in feet?
22
26
32
110
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