Year 7 WJEC Mathematics: Unit Test Mock Paper Walkthrough | WJEC 七年级数学单元测试模拟卷解析

📚 Year 7 WJEC Mathematics: Unit Test Mock Paper Walkthrough | WJEC 七年级数学单元测试模拟卷解析

Welcome to this detailed walkthrough of a Year 7 WJEC Mathematics unit test mock paper. This resource provides a full set of practice questions with step-by-step solutions, helping you build confidence in key topics such as number operations, fractions, decimals, percentages, algebra, geometry, and statistics. Each question is presented in English and Chinese, with clear explanations of methods used.

欢迎阅读这份 WJEC 七年级数学单元测试模拟卷的详细解析。本文提供一整套练习题目并配有逐步解答，帮助你在数字运算、分数、小数、百分数、代数、几何和统计等核心主题上建立信心。每道题都提供中英文双语表述，并对解题方法进行清晰解释。

1. Order of Operations | 运算顺序

Calculate: (12 + 18) × 5 – 20 ÷ 4

计算：(12 + 18) × 5 – 20 ÷ 4

To solve this, we use the order of operations (BODMAS/BIDMAS): Brackets first, then Orders (powers), then Division and Multiplication (left to right), and finally Addition and Subtraction (left to right).

要解此题，我们使用运算顺序（BODMAS/BIDMAS）：先括号，然后是乘方，再是乘除（从左至右），最后加减（从左至右）。

Step 1 – Brackets: (12 + 18) = 30

步骤1 – 括号：(12 + 18) = 30

Step 2 – Multiplication: 30 × 5 = 150

步骤2 – 乘法：30 × 5 = 150

Step 3 – Division: 20 ÷ 4 = 5

步骤3 – 除法：20 ÷ 4 = 5

Step 4 – Subtraction: 150 – 5 = 145

步骤4 – 减法：150 – 5 = 145

Final answer: 145

最终答案：145

2. Simplifying Fractions and Addition | 分数化简与加法

(a) Simplify 24/36 to its simplest form. (b) Calculate 3/8 + 5/12.

(a) 将 24/36 化为最简分数。(b) 计算 3/8 + 5/12。

For part (a), find the greatest common divisor of 24 and 36, which is 12. Divide numerator and denominator by 12: 24 ÷ 12 = 2, 36 ÷ 12 = 3. So 24/36 simplifies to 2/3.

(a) 找出 24 和 36 的最大公约数 12。分子分母同除以12：24 ÷ 12 = 2，36 ÷ 12 = 3，因此 24/36 化简为 2/3。

For part (b), to add 3/8 and 5/12, find the least common multiple of 8 and 12, which is 24. Convert: 3/8 = (3×3)/(8×3) = 9/24; 5/12 = (5×2)/(12×2) = 10/24. Then add: 9/24 + 10/24 = 19/24. The fraction is already in simplest form.

(b) 计算 3/8 + 5/12，先找出 8 和 12 的最小公倍数 24。转换：3/8 = 9/24，5/12 = 10/24。然后相加：9/24 + 10/24 = 19/24，已是最简。

Answers: (a) 2/3, (b) 19/24

答案：(a) 2/3，(b) 19/24

3. Decimals and Multiplication | 小数与乘法

(a) Write 0.6 as a fraction in simplest form. (b) Work out 3.25 × 4.

(a) 将 0.6 写为最简分数。(b) 计算 3.25 × 4。

(a) 0.6 means 6 tenths, so as a fraction it is 6/10. Simplify by dividing by 2: 6 ÷ 2 = 3, 10 ÷ 2 = 5, giving 3/5.

(a) 0.6 表示十分之六，即 6/10。化简除以 2：6 ÷ 2 = 3，10 ÷ 2 = 5，得到 3/5。

(b) Multiply 3.25 by 4. You can do this by ignoring the decimal point first: 325 × 4 = 1300. Since there are two decimal places in 3.25, put the decimal point two places from the right: 13.00, or simply 13. Alternatively, 4 × 3 = 12 and 4 × 0.25 = 1, sum = 13.

(b) 计算 3.25 × 4。可以先忽略小数点：325 × 4 = 1300。因为 3.25 有两位小数，从右数两位点小数点得到 13.00，即 13。或 4×3=12，4×0.25=1，总和 13。

Answers: (a) 3/5, (b) 13

答案：(a) 3/5，(b) 13

4. Finding a Percentage | 求百分数

Find 15% of 240.

求 240 的 15%。

Method 1: Convert percentage to a fraction: 15% = 15/100 = 3/20. Then multiply by 240: (3/20) × 240 = 3 × (240 ÷ 20) = 3 × 12 =

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Year 7 WJEC Mathematics: Unit Test Mock Paper Walkthrough | WJEC 七年级数学单元测试模拟卷解析