Summary
Highlights
The eighth question asks to convert 100 minutes into hours. 100 minutes is 60 minutes + 40 minutes, which is 1 hour + 40/60 hours (2/3 hours). So, 1 + 2/3 = 5/3 hours. The correct answer is C.
This question asks to expand (x - 3)^2 using the identity (a - b)^2 = a^2 - 2ab + b^2. The expansion yields x^2 - 2*x*3 + 3^2 = x^2 - 6x + 9. The correct answer is D.
The tenth question asks to calculate the image of 3 for the function f(x) = 7 - 1/2 * (x - 3)^2. Substituting x=3 gives f(3) = 7 - 1/2 * (3 - 3)^2 = 7 - 1/2 * 0^2 = 7. The correct answer is C.
The first question involves calculating 25% of 480. This is simplified by recognizing 25% as 1/4, leading to 1/4 * 480 = 120. The correct answer is D.
The second question asks to order three numbers (A, B, C) in ascending order. A = 1/5 (0.2), B = 19/100 (0.19), and C = 0.21. When put in decimal form, the order is B, A, C. The correct answer is C.
This question requires finding the largest number among four options, some presented as fractions and powers. By converting all options to fractions with a numerator of 1 (A=1/25, B=1/32, C=1/20, D=1/27), the largest number is the one with the smallest denominator, which is C (1/20). The correct answer is C.
The fourth question deals with an article's price increasing by 10% twice. The multiplier for a 10% increase is 1.1. After two successive increases, the total multiplier is 1.1 * 1.1 = 1.21, representing a 21% increase overall. The correct answer is D.
This question asks to calculate 'the third of a quarter', which translates to 1/3 * 1/4. The result is 1/12. The correct answer is D.
The sixth question involves summing 10 + 0.1 + 0.01. The sum is 10.1 + 0.01 = 10.11. The correct answer is C.
This question asks for the order of magnitude of A = 10^10 + 10^-10. Since 10^-10 is negligible compared to 10^10, the order of magnitude is 10^10. The correct answer is C.
The final question compares two series of numbers (A: 1, 2, 3 and B: 0.5, 2, 100). The mean of series A is 2, and its median is 2. The mean of series B is approximately 34.17, and its median is 2. Therefore, while the means are different, the medians are the same. This corresponds to option C.
This question requires identifying the correct linear equation for a given line. By observing the y-intercept (negative) and the slope (positive), only option B matches the graph. The correct answer is B.