SHSAT Math 2025
| Front | 112. The table below shows the number of cups of red paint and blue paint used to make a purple paint mixture. Based on the relationship between the number of cups of red paint and the number of cups of blue paint, what is the value of y?PURPLE PAINTCups of Red Paint | Cups of Blue Paint1 | 1.54 | 611 | yE. 10.5F. 13G. 16.5H. 24 |
| Back | G - 16.5Explanation: First, find the ratio of blue paint to red paint by examining the known values:1 cup red : 1.5 cups blue4 cups red : 6 cups blueThis gives us a constant ratio of 1.5 cups of blue paint for every 1 cup of red paint.To find y (cups of blue paint for 11 cups of red paint):y = 11 × 1.5 = 16.5 cups of blue paint |
| Front | 73. A truck rental company charges a one-time fee of $40 plus $1 per mile driven. Dalia rented a truck and used a coupon for 20% off the total rental cost. After the coupon was applied, she spent a total of $60. How many miles did she drive?A. 8B. 20C. 32D. 35 |
| Back | D - 35Explanation: Let m equal the miles driven during Dalia's rental. The total cost, c, can be expressed as:\(c = 40 + m\)Dalia spent a total of $60, which included a 20% off coupon. To find the cost before the coupon was applied, divide the final cost ($60) by the percentage paid (80%):60/0.80 = 75Use $75 as the total cost to find m:\(40 + m = 75\)\(m = 35\)Dalia drove 35 miles. |
| Front | 92. Evaluate: \(|(−8) − 12 + (−17) − (−31)| − |24|\)E. −30F. −18G. 18H. 44 |
| Back | F. −18Explanation: Simplify inside the first absolute value brackets:\(|−8 - 12 - 17 + 31| - |24|\)\(|−6| - |24|\)\(= 6 - 24\)\(= -18\) |