📚 Year 7 SQA Maths: Interdisciplinary Problem-Solving Training | S1 数学跨学科综合题型训练
In the Scottish Curriculum for Excellence, Year 7 (S1) mathematics is not just about numbers; it is about applying those numbers to real-world situations across different subjects. Interdisciplinary problem-solving training helps you build confidence and see how maths connects to science, geography, technology, and everyday life. The following exercises are designed to challenge your ability to select and apply the right mathematical skills in mixed contexts – exactly what the SQA expects.
在苏格兰卓越课程中,S1(七年级)数学不仅仅涉及数字,更强调将数学运用于不同学科的真实情境。跨学科问题解决训练有助于建立信心,并让你看到数学如何与科学、地理、技术和日常生活紧密相连。以下练习旨在培养你在混合情境下选择并运用正确数学技能的能力,这正是 SQA 所期望的。
1. Budgeting and Finance | 预算与理财
When organising a school trip, you are given a total budget of £480. The coach hire costs £195, and entry tickets for 30 students cost £7.50 each. You need to calculate the remaining money for lunch and any unplanned expenses.
组织学校旅行时,你的总预算为480英镑。租用大巴花费195英镑,30名学生的门票每人7.5英镑。你需要计算余下的钱用于午餐和意外支出。
First, find the total ticket cost: 30 × £7.50 = £225. Then add the coach hire: £195 + £225 = £420. Subtract from the budget: £480 − £420 = £60. So you have £60 left.
首先,计算门票总费用:30 × 7.5 = 225 英镑。然后加上大巴租金:195 + 225 = 420 英镑。从预算中减去:480 − 420 = 60 英镑。因此还剩下60英镑。
If lunch for each student costs £2.80, can you afford it? 30 × £2.80 = £84, which exceeds the remaining £60, so you would need to find additional funds or reduce costs.
如果每位学生的午餐费用是2.8英镑,负担得起吗?30 × 2.8 = 84 英镑,超出了剩余的60英镑,因此需要额外筹款或降低成本。
2. Map Scales and Distances | 地图比例尺与距离
A map has a scale of 1:25,000. The distance between two villages on the map is 8.4 cm. What is the actual distance in kilometres?
一张地图的比例尺为1:25000。地图上两个村庄之间的距离是8.
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