SSAT 2015 Quantitative Practice Test

- Divide 5/3 by 1/4

$-6 + (-2) + 0 + 8 = 0$

The square root of 73 is between 8 (since $8^2 = 64$) and 9 (since $9^2 = 81$).

The formula for rate is $text{rate} = frac{ text{distance}}{ text{time}}$. $frac{16 text{miles}}{4 text{hours}} = 4 text{miles per hour}$.

The formula for rate is rate = distance/time. In this problem, rate = 16 miles/4 Or 4 miles/hour

The phrase "for every" indicates a ratio. Set up a proportion: $frac{900}{60} = frac{18,000}{x}$ Cross-multiply: $900x = 1,080,000$, so $x = 1,200$.

Draw a rectangle with width $w$ and length $3w$. The perimeter is $2(3w + w) = 400$, so: $8w = 400$, and $w = 50$.

Let $WX = a$ and $WY = 3a$. Then $XY = WY - WX = 2a$. The length of $XZ$ is $2 times 2a = 4a$. So, $WZ = WX + XZ = a + 4a = 5a$. Substituting $a = 3$, we get $WZ = 15$.

The formula for percent increase is: $frac{ text{New Value} - text{Old Value}}{ text{Old Value}} times 100 %$ Here, $frac{1470 - 1050}{1050} times 100 % = 40 %$.

The bottom surface of the bag is a rectangle and all points are inside the rectangle so choice (A) can be eliminated. (B) is correct.

Use the average formula: $text{Average} = frac{ text{Sum of terms}}{ text{Number of terms}}$ Let the sum of 5 numbers be $X$. Then $frac{X}{5} = 10$, so $X = 50$. Let $Y$ be the sum of the remaining 3 numbers. $frac{Y}{3} = 8$, so $Y = 24$. The sum of the 2 numbers removed is $50 - 24 = 26$.

Multiply both sides by 3 to eliminate the denominator. Then, $A + B = 15$. If $A > 1$, $B$ must be less than 14. So 15 could not be the value of $B$.

Translate step by step: Sally starts with $x$ dollars. After receiving $125, she has $x + 125$. After spending $100, she has $(x + 125) - 100 = x + 25$ left.

Let $T$ be the number of minutes. Set up the ratio: $frac{300}{30} = frac{27,000}{T}$ Cross-multiply: $300T = 27,000$, and solve: $T = 90$. $90 text{minutes} = 1 text{hour} 30 text{minutes}$.

Round $27.05 to $27.00. Then, calculate: $100 div 27 = ?$, simplifying to $20 times 27 = 540$, and dividing by 60 gives $9.45$.

This problem is solved using a proportion: $frac{2 text{inches}}{5 text{inches}} = frac{12 text{miles}}{x text{miles}}$ After cross-multiplying: $2x = 60$ Solve: $x = 30 text{miles}$.

If a line is parallel to one side of a triangle and intersects the other two sides, it divides those sides proportionally. $12x = 16 times 9$ $12x = 144$, so $x = 12$.

Find two factors of 128, one of which is a perfect square. $sqrt{128} = sqrt{64 times 2} = sqrt{64} times sqrt{2}$ $sqrt{64} = 8$, so $sqrt{128} = 8 sqrt{2}$.

There are 5 green marbles out of a total of 9 marbles, so the probability of picking a green marble is $frac{5}{9}$.

The perimeter of a square is $P = 4s$. For a square with side $x+5$: $P = 4(x+5) = 4x + 20$ The perimeter of an equilateral triangle is $P = 3s$. For a triangle with side $3x$: $P = 9x$ Set the two perimeters equal: $4x + 20 = 9x$ Solve: $20 = 5x$, so $x = 4$.

Combine like terms using the additive inverse: $8x - 2 = 4x + 6$ Subtract $4x$ from both sides: $4x - 2 = 6$ Add 2 to both sides: $4x = 8$ Divide by 4: $x = 2$.

First, find the area of the square: $A = s^2 = 7^2 = 49 text{sq. cm.}$ Then use the formula for the area of a circle: $A = pi r^2$ $49 approx 3.14 times r^2$ Solving for $r$, $r^2 = frac{49}{3.14} approx 15.61$, and $r approx 3.95 text{cm}$.

First, calculate the amount of interest using the simple interest formula: $I = P times R times T$ $= 4000 times 0.0575 times 3 = 690$ Add the interest to the original principal to find the total amount after three years: $4000 + 690 = 4690$.

A prime number is divisible only by itself and by 1. The prime factorization of 36 is: $36 = 4 times 9 = 2^2 times 3^2$. Here, 2 and 3 are prime numbers.

To convert a decimal to a percent, multiply the decimal by 100. $0.3 times 100 = 30.00 = 30 %$