Arithmetic Reasoning – AFCT Questions & Answers 100% Accurate

The area of one circle is four times as large as a smaller circle with a radius of 3 inches. The radius of the larger circle is - ANSWER-6 inches. The area of the circle with a radius of 3 is pr2 = p × r2 = 9p. The area of the larger circle is 4 × 9p = 36p. Therefore, r2 = 36, so r = √36 = 6. The radius of the larger circle is 6. A cardboard box has a length of 3 feet, height of 2½ feet, and depth of 2 feet. If the length and depth are doubled, by what percent does the volume of the box change? - ANSWER-300% B. The volume of the original box is ?. The volume of the box with the length and depth doubled is ?. The amount of change in volume is 60 - 15 = 45. The percent change is the amount of change in volume divided by the original volume: On a map, 1 centimeter represents 4 miles. A distance of 10 miles would be how far apart on the map? - ANSWER-C. 2½ centimeters C. The proportion ? models this situation. Cross multiply. 1 × 10 = 4x, so 10 = 4x and ?. Davis donates 4/13 of his paycheck to his favorite charity. If he donates $26.80, what is the amount of his paycheck? - ANSWER-$87.10 C. Let p represent the amount of the paycheck. 4/13p? = , so ?. Rachel ran ½ mile in 4 minutes. At this rate, how many miles can she run in 15 minutes? - ANSWER-1 7/8 A. The proportion ? models this situation. Cross multiply. ?, so ? and x = ? miles. Tiling costs $2.89 per square foot. What is the cost to tile a kitchen whose dimensions are 4 yards by 5 yards? - ANSWER-$520.20 D. There are 3 feet in a yard, so a kitchen 4 yards by 5 yards is equivalent to (4 × 3) feet by (5 × 3) feet, or 12 feet by 15 feet. The area of the kitchen is 12 × 15 = 180 square feet. The cost to tile is $2.89 × 180 = $520.20.