1. Choose an appropriate central number to estimate the value of 148+151−149+150+152148+151−149+150+152. Which of the following options is closest to the estimated result?
2. Jianwen has pocket money xx, and Simin's pocket money is 4 times Jianwen's plus 100.ItisknownthatSiminhasatmost100.ItisknownthatSiminhasatmost1,380 in pocket money. Which of the following inequalities correctly represents the situation?
3. Ka Keung and Po Li share a pack of cookies in the ratio 2 : 3. If Po Li receives 9 cookies, how many cookies were originally in the pack?
4. Man Kei is traveling to Japan. She exchanges 22,500 HKD into Japanese yen. Assuming that every 7.5 HKD can be exchanged for 100 yen, if she spends 20,000 yen on a dress in Japan, how much is this amount equivalent to in HKD?
5.Which of the following is not a proposition?
6.Which of the following are irrational numbers?
I. 22
II. ππ
III. 0.50.5
7.The scale of a map is 1 : 200,000. If the actual distance between two cities is 12 km, what is the distance between the two cities on the map?
8.A(–3, –7), B(2, 5), and C(p, q) are three points on the Cartesian plane, where p > 0. What is the length of AB?
9.There are four number cards in a box, labeled 3, 4, 6, and 9. Two cards are randomly drawn simultaneously from the box. What is the probability that the sum of the numbers on the two cards is greater than 12?
10.P(3, –2) and Q(–9, 4) are two points on the Cartesian plane. What are the coordinates of the midpoint of segment PQ?