📚 Grade 7 Maths Test: Core Topics and Exam Tips | 七年级数学测试:核心考点与应试技巧
Grade 7 maths tests assess the foundations you need for higher-level study. This guide covers the core topics most commonly examined, from number operations and algebra to geometry and statistics. Use it to focus your revision and build confidence before the test.
七年级数学测试考查你后续学习所需的基础知识。本指南涵盖最常见的核心考点,从数的运算、代数到几何与统计。用它来有重点地复习,并在考试前建立信心。
1. Number Skills: Integers and Order of Operations | 数的运算:整数与运算顺序
. Multiplying or dividing two negatives gives a positive, while one negative gives a negative.
在七年级测试中,你必须熟练进行整数的加、减、乘、除。记住减去一个负数等于加上它的相反数:a − (−b) = a + b。两个负数相乘或相除结果为正,一正一负相乘或相除结果为负。
t), Addition and Subtraction (left to right). For example, 3 + 4 × 2 = 3 + 8 = 11, not 14.
务必按照运算顺序计算:先算括号,再算指数,然后从左到右算乘除,最后从左到右算加减。例如 3 + 4 × 2 = 3 + 8 = 11,而不是 14。
Use a number line to support negative number questions. Calculate 2 − 7 by starting at 2 and moving 7 places left to reach −5.
用数轴辅助解答负数问题。计算 2 − 7 时,从 2 出发向左移动 7 格,得到 −5。
2. Fractions, Decimals and Percentages | 分数、小数与百分数
ng between fractions, decimals and percentages is a key skill. For example, 3/5 = 0.6 = 60% e the numerator by the denominator; to convert a decimal to a percentage, multiply by 100.
分数、小数和百分数之间的转换是核心技能。例如 3/5 = 0.6 = 60%。将分数化为小数,用分子除以分母;将小数化为百分数,乘以 100。
d a common denominator. For 1/4 + 2/5, use the common denominator 20: 5/20 + 8/20 = 13/20.
分数加减时,先找公分母。例如 1/4 + 2/5,用公分母 20:5/20 + 8/20 = 13/20。
Percentage increase and decrease appear in real-life contexts. To increase £80 by 15%, find 15% of £80 = £12, then add to get £92. A multiplier 1.15 also gives £80 × 1.15 = £92.
百分数增减常出现在实际情境中。将 80 英镑增加 15%,先算 80 的 15% = 12 英镑,再加得到 92 英镑。也可以用乘数 1.15:80 × 1.15 = 92 英镑。
3. Ratio and Proportion | 比与比例
A ratio compares two or more quantities. Simplify 12:18 by dividing both sides by 6 to get 2:3. Ratios can be written in the order given in the question.
比用来比较两个或多个数量。化简 12:18,两边同时除以 6 得到 2:3。比必须按照题目给出的顺序书写。
To share an amount in a ratio, add the parts. Share £50 in the ratio 2:3: the total parts are 5, so one part is £10, giving £20 and £30.
按比例分配时,先求总份数。将 50 英镑按 2:3 分配:总份数是 5,每份为 10 英镑,所以得到 20 英镑和 30 英镑。
e scaling recipes or maps. If 3 apples cost 90p, then 5 apples cost (90 ÷ 3) × 5 = 150p or £1.50.
比例问题常见于配方或地图缩放。如果 3 个苹果 90 便士,那么 5 个苹果花费 (90 ÷ 3) × 5 = 150 便士,即 1.50 英镑。
4. Algebraic Expressions and Simplification | 代数表达式与化简
Use letters to represent unknown numbers. The expression 3n + 2 means multiply n by 3 and then add
Published by TutorHao | Mathematics Revision Series | aleveler.com
更多咨询请联系16621398022(同微信)

或截图后用「扫一扫 → 相册」选择本图