problem solving multiplication year 2

Multiplication & division in Year 2 (age 6–7)

In Year 2, your child will solve multiplication and division problems using the 2, 5, and 10 multiplication tables.  They will use the ‘×’, ‘÷’, and ‘=’ symbols to record calculations.

The key words for this section are  commutative , array , and inverse operations .

What your child will learn

Take a look at the National Curriculum expectations for multiplication and division in Year 2 (age 6–7):

Learn the 2, 5, and 10 times tables

Your child will be introduced to the times tables this year. Children will work out and begin to know facts in the 2, 5, and 10 times tables and connect them to each other. They will be also be able to work out related division facts. For example:

Your child might know that   5 × 7 = 35 . From this, they can work out related division facts:   35 ÷ 7 = 5   and   35 ÷ 5 = 7 .

Your child will also be expected to recognise odd and even numbers up to 100.

Use the multiplication (×), division (÷), and equals (=) signs

Show that multiplication can be done in any order (and division cannot).

Your child will learn that when they are multiplying numbers, they get the same product no matter what order they multiply the numbers. This means that multiplication is   commutative . For example:

10 × 5 = 50 5 × 10 = 50

Your child will learn that the order of the numbers   does   matter when using division. This means that, unlike multiplication, division is   not   commutative. For example:

10 ÷ 5 = 2 5 ÷ 10 = 0.5

Solve problems in contexts using lots of different methods

Your child will learn a variety of methods to calculate multiplication and division problems. For multiplication, these might include:

• Counting in steps of 2, 5 or 10 mentally
• Using objects or drawing pictures
• Using number lines to count forwards in steps
• Using the bar model or area/grid method .

They may solve division problems by:

• Sharing or grouping objects equally
• Using a number line to count backwards in steps of 2, 5 or 10
• Using their understanding of inverse to use multiplication to work out division problems. For example, when solving 8 ÷ 2, children may count in steps of two to find out how many groups of 2 there are in 8.

Your child will be expected to choose a method to solve a problem and to be able to check their answer using a different method.  They will also be expected to explain how they have solved a problem, and to talk about why they chose a particular method.

How to help at home

There are lots of quick and easy ways that you can help your child to understand multiplication and division. Here are just a few ideas to support your child’s learning:

1. Talk about odd and even numbers

Ask your child to explain what they know about odd and even numbers. For example, you could ask your child if 8 is an odd or an even number. If you want to help them understand better, everyday objects such as buttons or pasta are great for learning about odd and even numbers.

Even numbers can be divided equally into two whole numbers, and odd numbers cannot. To find out if a group of objects is odd or even, your child could therefore share them into two equal groups. If the objects   can   be shared equally between two groups, then the number of objects is even. If the objects   cannot   be shared equally between two groups, then the number of objects is odd.

Ask your child about odd or even numbers whenever you see an opportunity. For example, is there an odd number of apples in the bags at supermarkets? Is there an odd or even number of people eating dinner tonight?

Help your child recognise that the last digit (the ‘ones’ digit) of even numbers will always be 0, 2, 4, 6, or 8 and that last digit of odd numbers will always be 1, 3, 5, 7, or 9. The rest of the digits in the number don’t matter. Show your child a number such as 36 and ask them if the number is odd or even and ask them to explain why. For example, 36 is even because the ones digit is 6, which is an even number.

2. Practise multiplication

Your child will explore multiplication using arrays. Arrays are sets of objects arranged in rows and columns to make a rectangle. Help your child recognise arrays in the real world. Egg boxes, ice cube trays, and windows in a building can all be arrays.

You could play a game with your child to spot arrays when you are travelling to school or going on a walk. It could also be a good idea to ask your child to build arrays from small objects like grapes or buttons. Can they arrange the objects into different arrays? For example, 6 objects can be made into several different arrays:

Times tables

Your child will be introduced to times tables at school. The focus this year will be on the 2, 5, and 10 times tables.

Find out what multiplication facts your child already knows, and then see if they can work out more. For example:

Your child might already know that 2 × 5 = 10.   They could use this to work out 2 × 6 by adding another group of 2 to make 12.

Write down the multiplication tables for the 2, 5, and 10 times tables on individual pieces of paper or sticky notes. Ask your child to choose a multiplication calculation such as 8 × 5 and explain how they would work out this problem. If your child knows the answer immediately, ask them what other facts they know. Challenge them to beat the clock when they are reciting their multiplication facts!

Activity: Times tables wall charts

3. Practise division

Division can be best understood as   sharing   and   grouping .

Division by sharing

Ask your child to explore division by sharing objects equally. For example:

8 ÷ 2 could be solved by sharing 8 toys into 2 equal groups. The answer is 4, because each group has four toys.

Toys, pieces of pasta, and buttons are all good to practise with.  Ask your child to find out how many objects there are to begin with. Can they share the objects equally between the two of you? Help them to share objects one at a time between the two groups. When all the objects have been shared, ask your child how many there are in each group. If you have the same number, explain that your child has shared the objects equally into two groups which is the same as dividing by two.

If you do not have the same number, ask your child if the objects have been shared equally. For example, ‘we started with 11 objects and shared them into two groups and I have 6 objects and you have 5 objects. Are they equal? If they are not equal then 11 cannot be shared equally into two groups so 11 cannot be divided by 2 equally using whole numbers or objects.’

Video: How to do division by sharing

Division by grouping

It’s important that your child also understands division as grouping. Again, you can use any objects from around your home to practise division as grouping.

Ask your child to find out how many there are in a group of toys or pieces of fruit. Explain to them that you want to find out how many groups of two there are in the total group. Help your child to take two items at a time and count how many groups of two there are in the total number.

For example, if you had 8 objects and wanted to divide by grouping this could be seen as ‘How many groups of 2 are there in 8?’. Ask and support your child to explain that they have divided the 8 objects by grouping them in twos and finding out how many groups of 2 there are in the total group of 8 objects.

Video: How to do division by grouping

4. Find connections in multiplication and division

It will be helpful for your child if they can make connections in multiplication and division. Encourage them to explore the connections between multiplication, arrays and repeated addition.

In terms of division, encourage your child to:

• Use grouping, sharing, and arrays
• Think about the relationship between division and repeated subtraction
• See the connections between fractions and division (for example, 40 ÷ 2 = 20, 20 is half of 40).

You can also help your child use  commutativity and inverse relationships to solve calculations. For example:

If they know that 4 × 5 = 20 , then they know 5 × 4 = 20 because multiplication is commutative (i.e. can be done in any order).   If they know that 4 × 5 = 20 , then they know 20 ÷ 5 = 4 and 20 ÷ 4 = 5 because multiplication and division are inverse operations.

Arrays also provide a great opportunity for children to explore the connections between multiplication and addition, as well as multiplication and division. Give your child a multiplication calculation from the 2, 5, or 10 times tables and ask them to tell you or write down any other related addition, multiplication or division facts. Talking through how they know each fact will help them to understand how the operations relate to each other.

5. Use the language of multiplication and division

It’s helpful to be able to use the language of multiplication and division when talking with your child. Multiplication language includes product ,  multiply ,  multiple ,  times ,  repeated addition ,  equal  groups , and  array . Division language includes  divide ,  sharing equally ,  grouping equally ,  arrays ,   and  remainder .

You can help your child learn these terms by asking them to use this language to explain how they solved a problem. It may be helpful to have the mathematical words written on cards for your child to refer to.

You could also make or print out multiplication and division words cards and ‘×’ and ‘÷’ symbol cards. Help your child read each card and then sort the cards into words that describe multiplication (×) or division (÷). Are there any words that could be placed in both groups? Talk with your child about why these words. This will help them to understand the links between multiplication and division.

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2nd Grade Math Worksheets: Multiplication

Grade 2 multiplication worksheets.

These grade 2 multiplication worksheets emphasize early multiplication skills ; in particular recall of the 2, 5 and 10 'times tables', multiplying by whole tens and solving missing factor problems.

Sample Grade 2 Multiplication Worksheet

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Find all of our multiplication worksheets , from basic multiplication facts to multiplying multi-digit whole numbers in columns.

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Year 2 Maths Worksheets UK Hub Page

Welcome to Math Salamanders Year 2 Maths Worksheets hub page.

In our Year 2 area, you will find a wide range of printable math worksheets and Maths activities for your child to enjoy.

Come and take a look at our dot-to-dot pages, or our maths games. Perhaps you would prefer our 2d shape worksheets, or learning about numbers using our number line worksheets?

Hopefully you will find something here to meet your child's maths requirements!

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• This page contains links to other Math webpages where you will find a range of activities and resources.
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Year 2 Maths Learning

Here are some of the key learning objectives for the end of Year 2:

• know and use Place value up to 100
• Compare and order numbers up to 100
• Counting on and back in 1s and 10s
• count in 2s, 5s and 10s
• Position numbers on a number line up to 1000
• use addition and subtraction facts to 20
• use related facts for addition and subtraction
• add or subtract 1 or 10 from a 2-digit number
• add and subtract 2-digit numbers
• number bonds to 100 using tens only
• add three single-digit numbers
• recognise and make equal groups
• use the x symbol to write multiplication sentences
• use arrays and pictures to represent multiplication sentences
• know multiplication facts for the 2, 5 and 10 times table
• recognise and find a half, a quarter and a third
• understand and use fraction notation
• understand the equivalence of a half and two-quarters
• count on in halves, thirds and quarters up to 10
• count in pence: 1p, 2p ,5p, 10p and 20p
• count in pounds: £1, £2, £5, £10 and £20
• find a simple total or difference between two money amounts
• find the change from simple amounts
• tell the time: o'clock, half-past, quarter-past and to
• understand and compare durations of time
• compare and measure length, mass, volume, capacity and temperature
• read a variety of scales going up in 1s, 2s, 5s and 10s
• recognise 2D and 3D shapes
• count sides and vertices on 2D shapes
• count faces, edges and vertices on 3D shapes
• sort and make patterns with 2D and 3D shapes
• describe movement and turns
• make tally charts
• draw and interpret pictograms
• understand and use block diagrams

Please note:

Our site is mainly based around the US Elementary school math standards.

Though the links on this page are all designed primarily for students in the US, but they are also at the correct level and standard for UK students.

The main issue is that some of the spelling is different and this site uses US spelling.

Year 2 is generally equivalent to 1st Grade in the US.

On this page you will find link to our range of math worksheets for Year 2.

Quicklinks to Year 2 ...

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Coronavirus Stay At Home Support

For those parents who have found themselves unexpectedly at home with the kids and need some emergency activities for them to do, we have started to develop some Maths Grab Packs for kids in the UK.

Each pack consists of at least 10 mixed math worksheets on a variety of topics to help you keep you child occupied and learning.

The idea behind them is that they can be used out-of-the-box for some quick maths activities for your child.

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Place Value & Number Sense Zone

Year 2 Place Value Charts

Here you will find a range of Free Printable Place Value Charts for Year 2.

These printable charts will help your child learn to read and write numbers.

Some of the charts are partially filled to help your child learn their place value.

Using these sheets will help your child to:

• learn to count in tens and ones;
• learn to read and write numbers.
• Printable Number Charts 0-99
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Place Value and Counting Worksheets

Here you will find a range of Year 2 Place Value Worksheets.

These Year 2 maths worksheets will help your child learn their place value, reading, writing and ordering numbers up to 100.

There are also some money worksheets involving counting in dimes and pennies to support place value learning.

• learn to order numbers to 100;
• learn to count in dimes and pennies;
• learn to read and write numbers to 100.

Year 2 Place Value Worksheets

• Place Value to 20 Worksheets
• Math Place Value Worksheets Tens and Ones
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• Greater than Less than Worksheets - up to 2 digit numbers
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Number Line Worksheets

Here is our selection of free printable number line worksheets for Year 2 pupils.

These first grade math worksheets will give your child a good grasp of place value and number sequences up to 100.

• count on and back by ones;
• position numbers to 100 on a number line.
• Number lines to 20
• Number lines to 100

Year 2 Mental Maths Zone

Here you will find a range of printable mental math sheets designed especially for Year 2 children.

Each quiz tests the children on a range of math topics from number facts and mental arithmetic to geometry, solving word problems and measures questions.

A great way to revise topics, or use as a weekly math quiz!

• Year 2 Printable Mental Maths

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Year 2 Addition Worksheets

Here you will find a range of Free Printable Addition Worksheets to support Year 2.

The following first grade math worksheets involve adding different amounts.

• learn their addition facts to 12+12;
• learn to solve an addition fact where one of the addends is missing;
• learn to add numbers in columns up to 100.
• Number Bonds to 10 and 12
• Addition Sentences to 12
• Addition Fact Practice to 12
• Addition Facts to 20 Worksheets
• Adding tens
• Addition Word Problems
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• 2 Digit Addition Worksheets With Regrouping
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Year 2 Subtraction Worksheets

Here you will find a range of Year 2 Subtraction Worksheets.

The following worksheets involve using the Math skills of subtracting.

Using these Year 2 maths worksheets will help your child to:

• learn their addition and subtraction facts to 12;
• learn to subtract 2 digit numbers.
• Subtraction Facts to 12
• Subtracting tens
• Subtraction Word Problems
• Two Digit Subtraction Worksheets Without Regrouping
• 2 Digit Subtraction Worksheets With Regrouping
• Free Subtraction Worksheets (randomly generated)

Addition & Subtraction Worksheets

If you need to mix and match addition and subtraction fact questions within the same sheet, then use this section here.

The addition and subtraction worksheets involve counting on and back with numbers to 12.

• Math Activities Addition and Subtraction to 12
• Add and Subtract 10 Worksheets
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• Addition and Subtraction Problems

Year 2 Maths Word Problems

Here you will find a range of math word problems aimed at Year 2 level. Each problem sheet is based on an interesting theme such as parties or the seaside.

• Add and subtract with numbers to 12;
• order numbers to 100;
• solve a range of math problems.
• Maths Problems for Year 2

Longer Math Problems

• Year 2 Maths Problems (1st Grade)

Year 2 Geometry Worksheets

Here is a range of free geometry worksheets for Year 2 pupils.

The following worksheets will help your child to:

• Identify and name a range of 2d and 3d shapes;
• Draw 2d shapes;
• Know some of the properties of 2d shapes.
• Year 2 Geometry Worksheets (1st Grade)

Measurement Zone, including Time & Money

Year 2 measurement worksheets.

Here is our selection of measurement worksheets for Year 2 pupils.

These sheets involve reading scales going up in ones to find the weight or liquid capacity.

Using these sheets will help children to consolidate their counting as well as learning to read a simple scale.

• Year 2 Measurement Worksheets (1st Grade)

Year 2 Money Worksheets

Here you will find a range of free printable First Grade Money Worksheets.

The following worksheets involve counting different amounts of money in pennies, nickels and dimes.

• learn the names and values of the US coins;
• learn to count up different amounts of money to £1 in coins.
• Free Counting Money Worksheets UK Coins (easier)
• Free Money Worksheets UK Coins up to £1

Printable Money Resources

• Printable Money Flashcards
• Kids Counting Money Dominoes

Telling the Time Worksheets

Here is our selection of telling the time worksheets for 1st grade.

• read o'clock and half-past times;
• convert o'clock and half-past times to digital;
• draw clock hands correctly to mark out o'clock and half-past.

The year 2 maths worksheets in this section will help your child learn to tell simple times on an analogue clock.

• Telling Time Worksheets o'clock and half-past
• Clock Worksheets - Quarter Past and Quarter To

Year 2 Bar Graph Worksheets

Here is our selection of bar graphs for first graders.

These Year 2 maths worksheets involve reading and interpreting a range of bar graphs and picture graphs with a scale going up in ones.

Using these sheets will help children to understand how bar graphs work.

• Year 2 Picture/Bar Graphs (First Grade)

Fun Zone: Puzzles, Games and Riddles

Year 2 Maths Games

Here you will find a range of free printable Math games. All children like to play Math games, and you will find a good range of Maths Games at a Year 2 level here for your child to play and enjoy.

• Year 2 Maths Games (First Grade)

Year 2 Maths Puzzles

Here you will find a range of printable Year 2 level math puzzles for your child to enjoy.

The puzzles will help your child practice and apply their addition and subtraction facts as well as developing their thinking and reasoning skills in a fun and engaging way.

Using these puzzles will help your child to:

• develop thinking and reasoning skills;
• develop perseverance.
• Year 2 Maths Puzzles (1st Grade)
• Dot to Dot up to 50

Math Salamanders Year 2 Maths Games Ebook

Our Year 2 Maths Games Ebook contains all of our fun maths games, complete with instructions and resources.

This ebooklet is available in our store - use the link below to find out more!

• Year 2 Maths Games Ebook

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Free Printable Multiplication Word Problems Worksheets for 2nd Year

Multiplication Word Problems: Discover a collection of free printable worksheets tailored for Year 2 students, designed to help them master math multiplication through engaging word problems. Empower your teaching with Quizizz resources!

Recommended Topics for you

• Multi-Digit Multiplication Word Problems
• One-Digit Multiplication Word Problems

Explore Multiplication Word Problems Worksheets by Grades

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Explore Multiplication Word Problems Worksheets for year 2 by Topic

Explore other subject worksheets for year 2.

• Social studies
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Explore printable Multiplication Word Problems worksheets for 2nd Year

Multiplication Word Problems worksheets for Year 2 are an excellent resource for teachers looking to enhance their students' math skills. These worksheets provide a variety of engaging and challenging problems that help students develop a strong foundation in multiplication, a crucial skill for success in higher-level math courses. By incorporating these worksheets into their lesson plans, teachers can ensure that their students are getting the practice they need to master multiplication concepts. Additionally, these worksheets can be used as a tool for assessment, allowing teachers to monitor their students' progress and identify any areas where additional support may be needed. With a wide range of problems and difficulty levels, Multiplication Word Problems worksheets for Year 2 are a valuable addition to any teacher's math curriculum.

Quizizz is a fantastic platform that offers a variety of educational resources, including Multiplication Word Problems worksheets for Year 2. Teachers can use Quizizz to create interactive quizzes and games that engage students and make learning math fun and exciting. In addition to worksheets, Quizizz also offers a vast library of pre-made quizzes and activities that cover a wide range of math topics, making it easy for teachers to find the perfect resource for their students. The platform also provides valuable analytics and insights, allowing teachers to track their students' progress and identify areas where they may need additional support. By incorporating Quizizz into their lesson plans, teachers can create a dynamic and engaging learning environment that helps students develop a strong foundation in math and excel in Math Word Problems.

Year 2 Multiplication and Division

Click on an objective for related worksheets and resources.

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Multiplication Word Problem Worksheets

This page hosts a vast collection of multiplication word problems for 3rd grade, 4th grade, and 5th grade kids, based on real-life scenarios, practical applications, interesting facts, and vibrant themes. Featured here are various word problems ranging from basic single-digit multiplication to two-digit and three-digit multiplication. Another set of printable worksheets hone children's multiplication skill by multiplying large numbers. Free worksheets are included.

Single-digit Multiplication Word Problems

The printable PDF worksheets presented here involve single-digit multiplication word problems. Each worksheet carries five word problems based on day-to-day scenarios.

• Download the set

Multiplication Word Problems: Two-digit times Single-digit

The word problems featured here require a grade 3 learner to find the product by multiplying a two-digit number by a single-digit multiplier.

Multiplication Word Problems: Two-digit times Two-digit

The worksheets presented here involve multiplication of two-digit numbers. Read the word problems and find the product. Apply long multiplication (also known as column multiplication) method for easy calculation.

Theme Based Word Problems

Our engaging theme-based pdf worksheets help young minds understand the fundamentals of multiplication. Answer the word problems based on three fascinating themes - Winter Season, Ice rink and Library.

Multiplication Word Problems: Three-digit times Two-digit

Read the word problems featured in these printable worksheets for grade 4 and find the product of three-digit and two-digit numbers. Write down your answers and use the answer key below to check if they are right.

Three-digit Multiplication Word Problems

Solve these well-researched word problems that involve three-digit multiplication. Perform multiplication operation and carry over numbers carefully to find the product.

Multiplication: Three or Four-digit times Single-digit

The word problems featured here are based on practical applications and fact-based situations. Multiply a three or four-digit number by a single-digit multiplier to find the correct product.

Multi-digit Word Problems: Multiplying Large Numbers

Sharpen your skills by solving these engaging multi-digit word problems for grade 5. Apply long multiplication method to solve the problems. Use the answer key to check your answers.

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Two Step Problems with Positive Numbers Multiplication and Addition Worksheets Math Problems

Subject: Mathematics

Age range: 5-7

Resource type: Worksheet/Activity

Last updated

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Two Step Problems with Positive Numbers Multiplication and Addition Worksheets Math Problems “Two-step Addition, Subtraction, Division & Multiplication Worksheets Problems” is a comprehensive resource designed to strengthen students’ proficiency in fundamental arithmetic operations. These worksheets offer a structured approach to mastering two-step problem-solving, integrating addition, subtraction, division, and multiplication. Varied Problem Types: Each worksheet presents a range of two-step problems, ensuring students encounter diverse scenarios that require different combinations of operations. Progressive Difficulty: Problems are organized by complexity, allowing students to gradually advance from basic to more challenging tasks. Answer Keys: Detailed answer keys accompany each worksheet, facilitating easy assessment and providing students with immediate feedback. Skill Reinforcement: Through repeated practice, students reinforce their understanding of addition, subtraction, division, and multiplication, building fluency and confidence. Whether used in the classroom, for homework assignments, or as supplementary practice, “Two-step Addition, Subtraction, Division & Multiplication Worksheets Problems” equips students with the skills they need to tackle multi-step mathematical problems with confidence and precision. Worksheets are made in 8.5” x 11” Standard Letter Size. This resource is helpful in students’ assessment, Independent Studies, group activities, practice and homework. This product is available in PDF format and ready to print as well.

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2-digit by 2-digit Multiplication with Grid Support (A)

Welcome to The 2-digit by 2-digit Multiplication with Grid Support (A) Math Worksheet from the Long Multiplication Worksheets Page at Math-Drills.com. This math worksheet was created or last revised on 2023-08-12 and has been viewed 548 times this week and 1,428 times this month. It may be printed, downloaded or saved and used in your classroom, home school, or other educational environment to help someone learn math.

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Global economic growth improves but ‘downsides’ lurk

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The global economic picture has improved since January, but vulnerabilities remain, the mid-year update of the World Economic Situation and Prospects report published on Thursday has revealed.

The world economy is forecast to grow by 2.7 per cent in 2024, up from 2.4 per cent projected at the start of the year. Growth will reach 2.8 per cent in 2025, representing a slight increase.

These changes are mainly due to better-than-expected performance in some large developed and emerging countries, notably Brazil, India, Russia and the United States.

Inflation down, wages up 

Inflation is also down from the 2023 peak, said Shantanu Mukherjee of the UN Department of Economic and Social Affairs (DESA), presenting the report to journalists in New York. 

“In developed countries, tight labour markets are seeing wage increases for some parts of the population and also drawing people into the labor force, which is important,” he added. 

However, the outlook is only cautiously optimistic in the face of higher-for-longer interest rates, debt sustainability risks and continuing geopolitical tensions.  

Islands at risk 

Ever-worsening climate shocks are also a challenge, threatening decades of development gains, especially for the world’s Least Developed Countries (LDCs) and small island developing States (SIDS). 

Even though prospects for SIDS are being revised upwards to about 3.3 per cent each year, Mr. Mukherjee said this is still below the pre-pandemic average, meaning that “lost ground is still not being made up.”  

In the case of Africa and LDCs in general, prospects are revised downward to about 3.3 per cent growth in 2024. 

Concern for the continent  

“This is particularly worrying because Africa is home to about 430 million living in extreme poverty and close to 40 per cent share of the global undernourished population,” he explained. Furthermore, two-thirds of the high inflation countries listed in the report are on the continent. 

“At the same time, cause for concern is that African governments’ room to maneuver is also shrinking,” he continued. 

“In 2024, over a quarter of public revenues on average in this continent went towards interest payments. That's again about 10 percentage points more than the average over the years immediately preceding the pandemic.” 

For developing countries, on average, the debt situation is not as dire, but he was concerned that investment growth continues to fall. 

These “downsides” are further compounded by risks such as inflation, which is both a symptom of the underlying fragility and a concern on its own. 

Break the ‘resource curse’ 

The report also contains a special section on critical minerals such as lithium, nickel, cobalt and copper, that are essential for the transition to clean energy. 

Countries that possess these resources will, however, need smart policies, as well as effective implementation capacities to reap the benefits. 

Mineral-sector driven grown has in the past often been associated with environmental damage, stunted development of other sectors, poverty, conflict and other adverse outcomes collectively known as the “resource curse”. 

“It is imperative for developing countries to design and implement well-targeted and timely economic, social, and environmental policies to optimize the benefits of their critical minerals endowments and avoid another cycle of resource curse,” the report said.

• World Economic Situation and Prospects Report

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