Chapter 2 · Multiplying and dividing by two-digit numbers

Unit Test 2

Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 67–71).

Grade 3 Second Semester Pages 67–71 ECNU Press

Lesson Alignment

How this Shanghai Maths lesson connects to learning goals, Common Core, and Eureka Math.

Learning Objectives

Students will be able to:

  1. 01Demonstrate ×÷ fluency including two-digit methods. (Part A)
  2. 02Show speed / distance reasoning. (Part B)
  3. 03Apply multi-step chapter problems. (Part C)

Common Core Standards

CodeStandard (focus for this lesson)
4.NBT.B.5Multiply.
4.NBT.B.6Divide.
3.OA.D.8Word problems.

Eureka Math Correspondence

Shanghai MathsFocusEureka Math
Unit testChapter 2 summativeG3–G4

Question–Lesson Map

Where each Unit Test 2 question was taught in Chapter 2 (Lessons 2.1–2.15).

Test questionFocusTaught in
1. Mental calculation Tens/hundreds × and ÷; speed-related mental products 2.1, 2.2, 2.3
2. Column method Two- and three-digit × two-digit; multi-digit ÷ two-digit with remainders 2.4, 2.5, 2.6, 2.7, 2.9, 2.13, 2.14
3. Step by step Multi-step ×÷ chains; distributive rewrites 2.4, 2.5, 2.15
4. Number sentences Find divisor from dividend/quotient/remainder language 2.8, 2.9
5. Shaded area Area of shaded region on a unit grid (cm²) 2.15
6. Fill in the brackets Zeros in products; digit bounds for quotients; marks in long division 2.4, 2.6, 2.10, 2.12
7. True or false Speed/distance reasoning; division with remainder facts 2.1, 2.11
8. Multiple choice Choose correct ×÷ statement, estimate, or speed comparison 2.1, 2.2, 2.9, 2.12
9. Application problems Eggs over days; mass totals; months to save; dual prices; square tiling with remainder 2.1, 2.2, 2.15
10. Compare Unit-price comparison; rank speeds (km/h) 2.1, 2.2

Core Concepts

Summative: mental, column, MCQ, area, applications.

Test Structure

Mental marks; column ×÷; mixed number sentences; MCQ; area of shaded grid; applications.

High-Frequency Focus

  • $D = S \times T$ and unit consistency.
  • Two-digit × and ÷ column methods.
  • Remainders and round-up in stories.

Key Terms & Definitions (Reference)

Quick glossary for this lesson.

TermDefinition
Unit testEnd-of-chapter assessment.
Show workingMethod marks for column steps.

Key Answers

Quick reference for this lesson’s exercise answers.

1. Mental

  • $500$;\; $1000$;\; $6$;\; $1250$;\; $50$;\; $9$
  • $43$;\; $76$;\; $12$;\; $3$;\; $802$;\; $8$

2. Column method

  • $207\times43=8901$;\; $880\times2300=2024000$;\; $46\times2030=93380$
  • $416\div47=8\cdots40$;\; $4256\div27=157\cdots17$;\; $16919\div56=302\cdots7$

3. Step by step

  • $2254$;\; $3130$;\; $4500$;\; $12120$;\; $17$;\; $27$

4–5

  • Divisor $75$
  • Shaded area $32\,\text{cm}^2$

6. Fill in brackets

  1. $4$ zeros
  2. When $B=11$,\; $A=670$
  3. $1099$
  4. $3$-digit; hundreds; $2$ zeros
  5. Least for $3$-digit quotient: $6$; for $2$-digit: $0$–$5$
  6. $13$ marks

7. True / false

  1. False
  2. True

8. Multiple choice

  1. D
  2. C ($10$)
  3. C
  4. B ($90$)

9. Application

  1. $1440$ eggs; last $18$ days
  2. Total $11040\,\text{kg}$
  3. $2$ months
  4. Cost $8$ yuan and $80$ yuan each
  5. Squares $225\,\text{cm}^2$ and $25\,\text{cm}^2$; remainder $50\,\text{cm}^2$

10. Compare

  1. Basketball $8$ yuan; football $40$ yuan
  2. Speeds $140$,\; $252$,\; $840\,\text{km/h}$