Golden Horseshoe Practice Test for Exam Success

Adding 15 and 27 results in 42 since 15 + 27 equals 42. This basic addition problem reinforces arithmetic skills.

Multiplying 6 by 7 gives 42, which is the correct product. The other options represent common multiplication mistakes.

Divide both the numerator and the denominator by 4 to simplify 8/12 to 2/3. The other options do not represent the simplest form of the fraction.

The area of a rectangle is calculated by multiplying the length by the width: 8 Ã - 3 equals 24. The other choices do not correctly compute the area.

To find 20% of 50, multiply 50 by 0.20 to get 10. This basic percentage problem reinforces foundational arithmetic skills.

Subtract 5 from both sides to obtain 3x = 15, then divide by 3 to find x = 5. This linear equation reinforces basic algebraic manipulation.

There are 10 marbles in total, and with 5 blue marbles, the probability is 5/10 which simplifies to 1/2. The other options result from common calculation errors in probability.

The circumference of a circle is calculated using 2πr. Substituting 7 for r yields 2 à - 3.14 à - 7 ≈ 43.96. The other choices stem from halving or rounding errors.

Since 1 kilometer equals 1000 meters, multiplying 5.5 by 1000 gives 5500 meters. The other options are typical errors in unit conversion.

A 10% increase on 20,000 is 2000, so adding the increase gives 22000. This problem connects percentage calculations with real-world contexts.

Adding 7 to both sides yields 4y = 16, so dividing by 4 gives y = 4. The other choices do not satisfy the equation.

Dividing the 12 students by the ratio part of 3 gives 4 per unit; multiplying 4 by the second ratio value 4 gives 16. The other options do not maintain the proportion.

Since the x-coordinates are identical, the distance is simply the difference in y-values, which is 10 - 3 = 7. The other answers arise from incorrect subtraction.

Multiplying both sides by the reciprocal 3/2 gives x = 8 Ã - (3/2) = 12. The other options result from incorrect fraction operations.

First, convert 20 minutes to 1/3 of an hour so that the total time is 3.33 hours. Multiplying 65 km/h by approximately 3.33 hours gives about 216.67 km, making it the correct choice.

Let x be the width of the pathway. The total area including the pathway is (120 + 2x)(80 + 2x), and subtracting the park's area (120 Ã - 80) gives the pathway's area, which is set equal to the park's area. Solving the resulting quadratic equation yields x = 20 m.

First, rewrite 4 as 2^2 so that the equation becomes 2^(x+1) = 2^(4x-6). Equating the exponents gives x + 1 = 4x - 6, and solving for x results in x = 7/3.

Substitute n = 8 into the function to obtain f(8) = 8^2 + 8 = 64 + 8 = 72. This exercise reinforces function evaluation and arithmetic skills.

The slope is calculated as the change in y divided by the change in x. Here, (-1 - 7)/(5 - (-3)) equals -8/8, which simplifies to -1, making it the correct answer.

The sum of the ratio parts is 3 + 4 + 5 = 12, so each part represents 36/12 = 3. Multiplying the largest ratio number, 5, by 3 yields 15, the length of the longest side. The other choices do not adhere to the given ratio.