Order of Operations — Grade 6 Math 练习题

Grade 6 中等难度 10 道题

The order of operations is the set of rules that makes everyone evaluate an expression the same way. The acronym PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), then Addition and Subtraction (from left to right).

Parentheses come first because they mark a part of the expression that must be treated as a single value. In $(7 + 5) \times 2$ , you add inside the parentheses before multiplying, so the value is $24$ , not $17$ .

Exponents are evaluated right after parentheses and before multiplying or dividing: in $5 + 3^2$ , square the $3$ first to get $5 + 9 = 14$ . Multiplication and division share the same rank, and so do addition and subtraction, so within each pair you simply work from left to right.

Nested expressions place one set of grouping symbols inside another, such as $2[(3 + 1) \times 5]$ . Work from the innermost group outward, one layer at a time, and rewrite the expression after each step so you can track your work.

练习的技能

Applying PEMDAS to multi-step expressions
Evaluating exponents before multiplying or dividing
Working left to right for operations of equal rank
Simplifying parentheses and nested brackets
Rewriting expressions step by step to avoid errors

姓名： 日期： 课时：

练习题：Order of Operations

说明： 仔细解答每一道题。清晰地展示所有解题过程。在指定位置或按指示在另一张纸上写出最终答案。

1. $12 + 8 \div 4 \times 3$

Order of Operations — 练习题（续）

2. $(15 - 6) \times 2 + 7$
3. $5^2 - 3 \times 4 + 6$

Order of Operations — 练习题（续）

4. $24 \div (8 - 2) + 3 \times 5$
5. $7 + 2 \times (9 - 4)^2$

Order of Operations — 练习题（续）

6. $36 \div 6 \times 2 + 8 - 5$

Order of Operations — 练习题（续）

7.A bakery makes 4 batches of cookies. Each batch has 12 cookies. The bakery sells 3 boxes of cookies, and each box contains 8 cookies. Write an expression to represent the number of cookies left, then evaluate it using the order of operations.

Order of Operations — 练习题（续）

8.Sarah has $50. She buys 3 notebooks that cost $4 each and 2 pens that cost $2 each. Write an expression to represent how much money Sarah has left, then evaluate it.
9. $18 + 2 \times (10 - 6) \div 4$

Order of Operations — 练习题（续）

10. $4^3 \div 8 + 6 \times (3 + 1) - 5$

参考答案

1.

$12 + 8 \div 4 \times 3 = 12 + 2 \times 3 = 12 + 6 = 18$

最终答案： 18
2.

$(15 - 6) \times 2 + 7 = 9 \times 2 + 7 = 18 + 7 = 25$

最终答案： 25
3.

$5^2 - 3 \times 4 + 6 = 25 - 12 + 6 = 13 + 6 = 19$

最终答案： 19
4.

$24 \div (8 - 2) + 3 \times 5 = 24 \div 6 + 15 = 4 + 15 = 19$

最终答案： 19
5.

$7 + 2 \times (9 - 4)^2 = 7 + 2 \times 5^2 = 7 + 2 \times 25 = 7 + 50 = 57$

最终答案： 57
6.

$36 \div 6 \times 2 + 8 - 5 = 6 \times 2 + 8 - 5 = 12 + 8 - 5 = 20 - 5 = 15$

最终答案： 15
7.

Expression: $4 \times 12 - 3 \times 8 = 48 - 24 = 24$

最终答案： 24 cookies left

参考答案（续）

8.

Expression: $50 - (3 \times 4 + 2 \times 2) = 50 - (12 + 4) = 50 - 16 = 34$

最终答案： $34 left
9.

$18 + 2 \times (10 - 6) \div 4 = 18 + 2 \times 4 \div 4 = 18 + 8 \div 4 = 18 + 2 = 20$

最终答案： 20
10.

$4^3 \div 8 + 6 \times (3 + 1) - 5 = 64 \div 8 + 6 \times 4 - 5 = 8 + 24 - 5 = 32 - 5 = 27$

最终答案： 27

下载 PDF

需要避免的常见错误

Adding before multiplying, as in $3 + 4 \times 5$
Computing $3^2$ as $6$ instead of $9$
Ignoring parentheses and working strictly left to right
Multiplying before dividing when the division comes first on the left
Evaluating outer brackets before inner parentheses

生成您自己的练习表

想要一套难度自选的 order of operations 新题？使用 WorksheetSmith 在几秒内编译一份可打印的自定义 PDF。

生成自定义 Order of Operations 练习表

最后更新：2026

Order of Operations — Grade 6 Math 练习题

练习的技能

参考答案

需要避免的常见错误

生成您自己的练习表

相关练习表