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Resources tagged with: NC Yr 4

There are 51 NRICH Mathematical resources connected to NC Yr 4 , you may find related items under NC .

Satisfying Four Statements

Can you find any two-digit numbers that satisfy all of these statements?

Representing Numbers

Find as many different ways of representing this number of dots as you can.

Ordering Journeys

How would you put these journey lengths in order?

What Distance?

Can you use addition and subtraction to answer these questions about real-life distances?

Count Me In

How do you know whether you will reach these numbers when you count in steps of six from zero?

Dicey Operations in Line

Who said that adding, subtracting, multiplying and dividing couldn't be fun?

Seeing Squares

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

Reasoned Rounding

Four strategy dice games to consolidate pupils' understanding of rounding.

Round the Dice Decimals 1

Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?

Let Us Divide!

Look at different ways of dividing things. What do they mean? How might you show them in a picture, with things, with numbers and symbols?

Discuss and Choose

This activity challenges you to decide on the 'best' number to use in each statement. You may need to do some estimating, some calculating and some research.

Bryony's Triangle

Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?

Sorting Logic Blocks

This activity focuses on similarities and differences between shapes.

Light the Lights Again

Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you find the smallest number that lights up all four lights?

A task which depends on members of the group noticing the needs of others and responding.

What Shape?

This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.

Counters in the Middle

This task depends on groups working collaboratively, discussing and reasoning to agree a final product.

Table Patterns Go Wild!

Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.

Times Tables Shifts

In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?

Reflector ! Rotcelfer

Can you place the blocks so that you see the reflection in the picture?

Nice or Nasty

There are nasty versions of this dice game but we'll start with the nice ones...

The Remainders Game

Play this game and see if you can figure out the computer's chosen number.

Four-digit Targets

You have two sets of the digits 0-9. Can you arrange these in the five boxes to make four-digit numbers as close to the target numbers as possible?

Venn Diagrams

How will you complete these interactive Venn diagrams?

Eight Hidden Squares

On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?

Shape Times Shape

These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?

Multiplication Square Jigsaw

Can you complete this jigsaw of the multiplication square?

Twice as Big?

Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.

Multiples Grid

What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?

Coordinate Challenge

Use the clues about the symmetrical properties of these letters to place them on the grid.

Torn Shapes

These rectangles have been torn. How many squares did each one have inside it before it was ripped?

Take Your Dog for a Walk

Use the interactivity to move Pat. Can you reproduce the graphs and tell their story?

Fractional Wall

Using the picture of the fraction wall, can you find equivalent fractions?

Stringy Quads

This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!

Nine-pin Triangles

How many different triangles can you make on a circular pegboard that has nine pegs?

Carrying Cards

These sixteen children are standing in four lines of four, one behind the other. They are each holding a card with a number on it. Can you work out the missing numbers?

Andy's Marbles

Andy had a big bag of marbles but unfortunately the bottom of it split and all the marbles spilled out. Use the information to find out how many there were in the bag originally.

How Big Are Classes 5, 6 and 7?

Use the two sets of data to find out how many children there are in Classes 5, 6 and 7.

Fractional Triangles

Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

The Deca Tree

Find out what a Deca Tree is and then work out how many leaves there will be after the woodcutter has cut off a trunk, a branch, a twig and a leaf.

Symmetry Challenge

How many symmetric designs can you make on this grid? Can you find them all?

Let Us Reflect

Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?

I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

A Cartesian Puzzle

Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.

Fractions in a Box

The discs for this game are kept in a flat square box with a square hole for each. Use the information to find out how many discs of each colour there are in the box.

Shapes on the Playground

Sally and Ben were drawing shapes in chalk on the school playground. Can you work out what shapes each of them drew using the clues?

Zios and Zepts

On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?

Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?

Four Triangles Puzzle

Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?

There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?

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Free Year 4 Maths Worksheets And Homework – Download, Print, Or View Online

Anantha Anilkumar

Here you’ll find all our free Year 4 maths worksheets and Year 4 maths tests, many of which are suitable for homework as well as classroom teaching.

You can use these resources and workbooks as you like; most of the KS2 maths worksheets come in pdf format and all of them are printable if you want to give children something physical to work with. But they can also be downloaded and kept, or viewed online, if you prefer to keep things electronic. 

To supplement these we also have a range of maths activities , lesson plans and powerpoints for classroom teaching which are available from our White Rose maths  page.

Many of these worksheets and maths tests are aimed at helping children improve their number work – we have mental maths practice work, place value worksheets , addition and subtraction worksheets , multiplication & division worksheets etc.

All our maths worksheets and tests come with answer sheets too, including advice from the National Curriculum (about the range of answers that are acceptable, for example), where needed.

If you’re a  parent  looking for more advice, try our  home learning  hub full of  home learning packs , tips and teaching ideas for  Year 4 Maths  at home and  maths homework .

If you’re a  teacher or school leader  who is interested in improving maths attainment in your school or classroom, then this whole website is for you. Third Space Learning is dedicated to improving outcomes in maths with our  online tutoring  programme of  maths interventions , together with  maths resources  and CPD. You’re welcome to link to these free resources from your own website like thousands of other schools do.

Free Year 4 Maths Worksheets and Tests

A collection of free Year 4 maths activities from the Third Space Maths Hub. You need to register to download (but it's free). Use Google Chrome.

Year 4 Maths Worksheets for fluency, reasoning, and problem solving

Year 4 times tables worksheets, year 4 place value worksheets, year 4 addition and subtraction worksheets , year 4 multiplication and division worksheets , year 4 decimals worksheets , year 4 measurement worksheets, year 4 fractions worksheets, year 4 statistics worksheets, year 4 maths tests: all topics, year 4 maths worksheets to improve fluency, mental maths and arithmetic skills: fluent in five.

Fluent in Five worksheets provide a series of questions designed to take no more than 5-10 minutes and to help children develop their written and mental maths skills. Developing maths fluency in a key skill for children, especially in Year 4 with the newly-introduced times tables check to work towards. 

Download  Fluent in Five Arithmetic Pack (Year 4) Weeks 1-6

Year 4 Maths Worksheets for improving reasoning and problem solving skills: Rapid Reasoning

The Rapid Reasoning resource was created to fulfil the greater emphasis that a maths mastery approach gives to children’s ability to reason well. ‘Explaining your reasoning’ is a key part of maths lessons in Key Stage 2, and these free worksheets (six weeks’ worth in total) help children improve their reasoning skills. Each worksheet comes with around three questions based on Year 4 maths topics, example answers, and even step-by-step explanations to help pupils break down how to get to an answer. 

Download  Rapid Reasoning (Year 4) Weeks 1-6

Year 4 Maths Test: Times Tables

Knowing their multiplication tables is one of the key maths skills every child should have by the time they leave primary school, and Year 4 children will have this skill tested through the new multiplication tables check . 

These times tables practice tests provide a quick and clear way to help children practise, and spot any gaps in their knowledge. No more worries about getting caught out on the 7x table!

Download the Times Tables Packs

Year 4 Maths Worksheets for times tables: Tarsia Puzzles Mixed Times Tables Pack

These times tables worksheets are a fun way to practise times tables facts and related division facts independently and develop mental arithmetic skills.  

Download the Tarsia Puzzles Mixed Times Tables Pack

Year 4 Maths Worksheets for place value: All Kinds of Word Problems

This worksheet contains ten increasingly difficult questions about number and place value. A great choice whether you want to help a child revise this topic, or give a high achiever something more challenging to do as homework!

Download  All Kinds of Word Problems on Number and Place Value (Year 4)

Year 4 Maths Worksheets for addition and subtraction: Let’s Practise Using the Bar Model

These worksheets focus on word problems involving addition and subtraction of up to 4-digit numbers. It is important for children to experience a range of question types, especially in a topic where they may feel more confident. 

Download Year 4 addition and subtraction worksheets: Let’s Practise Using the Bar Model

Year 4 Maths Worksheets for addition and subtraction: Worked Examples

While children will have looked at formal column addition and subtraction, there are many common mistakes that even the most experienced amongst them can make. This worksheet highlights the common errors when using formal written methods, estimating and identifying related facts for addition and subtraction calculations. 

Download Year 4 Worked Examples Addition and Subtraction

Year 4 Maths Worksheets for addition and subtraction: Maths Code Crackers

Sometimes a simple set of fluency questions can be engaging. This worksheet focuses on calculations including up to 4-digit numbers add 4-digit numbers and up to 4-digit numbers subtract 4-digit numbers, all with the aim of finding answers and the punchline to a halloween themed joke. 

Download Year 4 Code Crackers: Addition and Subtraction

Year 4 Maths Worksheets for addition and subtraction: All Kinds of Word Problems 

These worksheets provide children with an opportunity to solve a wide range of addition and subtraction word problems. The problems range from missing digits to adding money and measures.

Year 4 Maths Worksheets for multiplication: All Kinds of Word Problems 

In Year 4, children are not only expected to know their times tables facts up to 12 x 12, they also need to know how to multiply 3-digit numbers by a 1-digit number. This workbook covers problems involving factors, missing numbers, multiplying 3-digit numbers by 1-digit numbers as well as times table facts. 

Download All Kinds of Word Problems: Multiplication 

Year 4 Maths Worksheets for multiplication: Let’s Practise Using the Bar Model

These worksheets include a range of word problems that can be solved using bar models. The questions cover times tables up to 12 x 12 as well as 2-digit numbers multiplied by 1-digit numbers. 

Download Year 4 Let’s Practise Using the Bar Model Multiplication Worksheets

Year 4 Maths Worksheets for division: Short and Long Division Worksheets

Long division is one of the most difficult parts of the primary maths curriculum, and learning long division requires a good understanding of short division to start with. While a Year 4 child won’t have learnt long division yet, these worksheets include short division questions at the beginning, helping children sharpen their division skills in preparation for the next step.

Download our Free Year 4 Division Worksheets

Year 4 Maths Worksheets for multiplication and division: Code Crackers

A fun way for children to get some more practise in: every question’s answer is part of the punchline of a joke. Solve them all and you solve the joke! The questions themselves cover all of the new things pupils have learned about the topic, so it’s easy to identify where any gaps are. 

Download  Maths Code Crackers Year 4: Multiplication and Division

Year 4 Maths Worksheets for multiplication and division: Worked Examples 

Children love to be the teacher. This worksheet gives children an opportunity to check work that has already been completed, explain any errors and develop reasoning skills. The worksheet covers a range of multiplication and division topics, including multiplying three 1-digit numbers together and dividing a 2-digit number by a 1-digit number.

Download Year 4 Worked Examples Multiplication and Division 

Year 4 Maths Worksheets on decimals: Independent Recap

This small collection of four worksheets covers tenths, hundredths, and dividing 1- and 2-digit numbers by 10 and 100 – all topics covered in Year 4 maths.

As independent working activities, they are specifically designed to be completed by children even if they can’t get access to online tools, or parent support.

Download the Year 4 Decimals Independent Recap Worksheets

Year 4 Maths Worksheets on decimals: Worked Examples 

Decimals are first formally introduced to children in Year 4. This worksheet focuses on a range of topics including understanding the value of the digits in a decimal number, dividing by 10 and converting between fractions and decimals. As decimals is a new topic to Year 4, there are several common errors pupils could make and this worksheet aims to address these misconceptions. 

Download Year 4 Worked Examples Decimals

Year 4 Maths Worksheets on decimals: Maths Code Crackers Year 4 Decimals

This worksheet focuses on the value decimals, ordering decimals and adding decimals to make a whole in a fun way. Children need to answer the questions to solve the answer to a topical joke. 

Download Maths Code Crackers Year 4 Decimals

Year 4 Maths Worksheets on area: Code Crackers

Area is a new and more complicated Year 4 topic, moving away from the number facts and arithmetic-based work children will have been used to from previous years. Our Code Crackers worksheet on area gives them the chance to test their understanding of this more complex topic, and have fun at the same time. Answers for all questions are included with the pack. 

Download  Maths Code Crackers Year 4: Area

Year 4 Maths Worksheets on area: Year 4 Worked Examples Area

When covering the topic of area, it is important that children understand not only what area is but what a 2-D shape is. This worksheet covers the required content for this year group while also addressing common misconceptions that can form when the new topic of area is introduced. Children will focus on counting the squares to calculate areas as well as compare areas while they check and explain incorrect answers. 

Download Year 4 Worked Examples Area

Year 4 Geometry worksheets

Year 4 maths worksheets for properties of shape: independent recap.

Children have been learning about shapes since Year 1, but that does not mean the content is easy to understand. These worksheets cover identifying angles (including the names of angles and measurements in degrees), comparing and ordering angles as well as properties of 2d shapes, classifying triangles and quadrilaterals and identifying lines of symmetry  and completing symmetrical figures. 

Download Year 4 properties of shapes worksheets: Independent Recap  

Year 4 Maths Worksheets for properties of shape: Code Crackers

This properties of shape worksheet focuses on recapping all the learning from this block of work. With a range of retrieval questions to answer, children need to answer the questions correctly to find the answer to a Wimbledon related joke. 

Download Year 4 properties of shape worksheets: Code Crackers

Year 4 Maths Worksheets for properties of shape: Worked Examples

There are several different aspects of properties of shape that children need to know in Year 4. This worksheet recaps some of the key language in the topic (for example, obtuse angle, rhombus) as well as some key concepts (for example, classification of triangles, lines of symmetry), while including opportunities to develop reasoning skills. 

Download Year 4 Properties of Shapes Worksheets: Worked Examples

Year 4 Maths Worksheets for fractions: Code Crackers

Finding fractions of numbers is a maths skill that becomes more and more important the later a child gets in their maths learning, but the basics are covered in Key Stage 2. This fractions for kids worksheet helps children become better at solving these types of problems without making it seem (too much) like work. 

Download  Maths Code Crackers Year 4: Fractions

Year 4 Maths Worksheets for fractions: Independent recap 

These worksheets recap adding and subtracting fractions with the same denominator and calculating fractions of quantities. Children will have been introduced to both of these topics in Year 3, however it is important that they have a strong understanding of the concepts before moving on to more complex fraction work. These worksheets encourage completely independent work. 

Download Year 4 Fractions Independent Recap

Year 4 Maths Worksheets for fractions: Year 4 Worked Examples

The topic of ‘fractions’ is very broad. In this worksheet, the focus is on 5 different areas of the fractions block that children in Year 4 often find confusing (adding three or more fractions, finding a fraction of an amount, subtracting from a whole, equivalent fractions and counting in fractions). 

Download Year 4 Worked Examples Fractions

Year 4 Maths Worksheets for statistics: Worked Examples

In Year 4, children are expected to be able to read and interpret a range of graphs and tables. This worksheet focuses on reading a table, bar chart and line graph. Children should be familiar with tables and bar charts but will have been introduced to line graphs for the first time in Year 4.  

Download Year 4 Maths Worksheets for statistics: Worked Examples

Year 4 Maths Worksheets for statistics: Independent Recap

These worksheets focus on answering questions about bar charts, tables and line graphs. As line graphs are new to Year 4, one of the worksheets in this pack encourages children to use data to draw their own line graphs. 

Download Year 4 Maths Worksheets for statistics: Independent Recap

Year 4 Maths Worksheets for statistics: Code Crackers

This worksheet encourages children to read and interpret a range of graphs to answer retrieval, comparison and sum questions about a range of different graphs and tables. 

Download Year 4 Maths Worksheets for statistics: Code Crackers

A great way to get an overall idea of a Year 4 child’s maths learning – two tests (one arithmetic, one reasoning) of about an hour each, with answer sheets included. Please remember that children may not have covered every topic on this test, so they may not be able to answer some questions.

Download our free Year 4 Assessment Pack

Also in this series…

• Year 2 Maths Curriculum Toolkit for 6 & 7 Year Olds
• Year 2 Maths Worksheets
• Year 3 Maths Curriculum Toolkit for 7 & 8 Year Olds
• Year 3 Maths Worksheets
• Year 5 Maths Curriculum Toolkit for 9 & 10 Year Olds
• Year 5 Maths Worksheets
• Year 6 Maths Curriculum Toolkit for 10 & 11 Year Olds
• Year 6 Maths Worksheets

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Since 2013 these personalised one to one lessons have helped over 150,000 primary and secondary students become more confident, able mathematicians.

Learn about the Year 3-5 programme or request a personalised quote for your school to speak to us about your school’s needs and how we can help.

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FREE Fluent in Five Weeks 1 to 6 (Years 1 to 6)

Easy to implement daily arithmetic questions to build number fluency and confidence in 5 minutes a day.

Downloaded by 38,840+ teachers.

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Year 4 Money Challenges Solving Money Problems

Welcome to our Year 4 Money Challenges page. Here you will find our selection of printable money problem worksheets to help your child learn to use their money skills to solve a range of problems.

These challenges are a great resource as an extension for more able pupils, or to consolidate and extend learning.

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Year 3 Money Learning

Knowing how to handle and calculate with money is a very important life-skill.

During Year 3, children build on their knowledge and skills they have achieved during Year 2.

By the time children reach the end of Year 3, they should be able to:-

• use decimal notation for amounts of money, e.g. £3.27
• change amounts in £ to amounts in pence and back;
• count money up to £10;
• calculate change for amounts of money up to £1 mentally;
• solve simple problems involving money;
• use informal methods to add and subtract money amounts in £ and pence.

Our worksheets will support your child with these objectives.

Year 4 Money Challenges Information

The following worksheets involve solving challenges involving money amounts. They are a great way to consolidate and extend money learning once children are confident with counting money amounts.

The challenges start off at a fairly easy level with problems that involve lower value coins and smaller money amounts. The challenges later on involve more complex problems with larger values to calculate.

If you are teaching a class or group of children, then these sheets should give you some great differentiated learning activities with a money theme.

An answer sheet is available for each challenge provided.

The money challenges in each section are carefully graded, allowing you to introduce concepts at an easier level before introducing harder work, or differentiate within your class.

Using the sheets in this section will help your child to:

• count money in coins;
• develop their reasoning and thinking skills;
• solve problems involving money.

All the money worksheets in this section will help your child to become more confident with money, and develop better problem solving skills.

These problems and challenges build on our Year 3 Money Challenges .

Year 4 Money Challenges Worksheets

There are 3 challenges - Tyger's Money Square Challenge, Row of Coins Challenge and How Much Money Challenge.

Each main challenge has several versions which start with the easiest level and progress onto harder levels of challenge.

Row of Coins Challenges

• Row of Coins Challenge 4:1
• PDF version
• Row of Coins Challenge 4:2

Tyger's Money Square Challenges

• Tyger's Money Square Challenge 4:1
• Tyger's Money Square Challenge 4:2
• Tyger's Money Square Challenge 4:3

How Much Money Challenges

• How Much Money Challenge 4:1
• How Much Money Challenge 4:2

Match the Coins

• Match the Coins 4:1
• Match the Coins 4:2

Extension Activity Ideas

If you are looking for a way to extend learning with the How Much Money challenge, why not...

Try playing 'How Much Money' in pairs.

One person chooses 2 or 3 coins and the other person has to ask questions which involve 'yes' or 'no' answers.

To make the game more interesting, have a maximum of 5 questions before you make a guess!

Looking for some more UK money worksheets?

We also have some counting money worksheets with amounts up to £1 or £5.

The sheets are at a more basic level than those on this page.

• Free UK Money Worksheets Coins up to £1
• Year 3 Money Worksheets Coins up to £5
• Year 3 Money Challenges

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

Money Riddles

These puzzles are a great money starter activity to get children thinking and puzzling out which the correct answer is out of a set number of choices. They are great for partner work too.

UK Money Riddles

If you are looking for some fun learning puzzles involving money, then look no further.

The puzzle sheets in this section are designed primarily for children in Years 3 and 4 who need to develop their problem solving skills and mathematical language.

Using these challenges will help your child to:

• apply their existing skills to puzzle out clues;
• understand money terminology;
• develop their thinking skills.
• Money Riddles for Kids (UK coins)

Money Column Addition Worksheets

Here you will find a selection of Column Addition Money sheets designed to help your child add different amounts of money.

Using these sheets will help your child to:

• add up a range of money amounts involving decimals.

The worksheets in this section are aimed at children in Years 4 and 5.

• Column Addition Money Worksheets (UK)

Money Column Subtraction Worksheets

Here you will find a selection of Column Subtraction Money sheets designed to help your child subtract different amounts of money.

• subtract a range of money amounts involving decimals.
• Column Subtraction Money Worksheets (UK)
• Counting Money Games

Here is our collection of counting money games for kids.

All of these games are suitable for kids aged from 1st grade and upwards.

Playing games is a great way to practice math skills in a fun way. Games also help to develop reasoning, thinking and memory.

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Reasoning/Problem Solving Maths Worksheets for Year 4 (age 8-9)

This category is all about children choosing the most appropriate method to achieve a quick and accurate answer and to be able to explain their methods and reasoning.

Problem solving: finding the missing digits in 4-digit numbers. Tricky!

Problem solving: finding the values of missing counters. Logical thinking and careful work needed here!

Reasoning about numbers on a number line and rounding numbers.

More reasoning about number and place value.

Not only do the questions have to be answered, but explanations given. These pages really show how well children understand what they are doing.

More written explanations on which operation to use and whether the question should be done mentally or on paper.

Lots of questions, most of which can be done mentally. The important thing is to explain how they were tackled.

Decide which operation is needed (add, subtract, multiply, divide) and whether a calculator, or pencil and paper are needed, or whether it can be done, 'in your head'.

Solving problems

A selection of problem solving activities and word problems.

Here are some problems written in words. Fairly straightforward as they require just one mathematical step to work out the answer

Some word problems that need at least two steps to find the answer. This makes them much harder, so careful thinking is needed.

5 pages of word problems, all involving money. Some are suitable for calculator work as they are specially written to make the process the most important factor: it is no use having a calculator if you don't know what calculation to carry out!

A range of number and money problems, typical of those found in KS2 test papers.

More number and money problems, typical of those found in KS2 test papers.

Tricky word problems involving time and money.

More word problems; this time on measurement of length, mass and capacity. These really test children's understanding of when to use addition, subtraction, multiplication or division to solve a problem.

Time problems are especially tricky, especially when finding lengths of time that cross the hour boundary. A good knowledge of the number of days in each month is also needed.

Not many problems on a page, but there is an awful lot within each question. Each is a mini investigation, which can be explored in depth.

Number patterns, remainders, number machines and much more in this mixed selection of problems.

Working out the missing value.

More working out missing values.

Using the instructions on the packet what is the maximum number of bulbs that can be grown in the garden?

Using the instructions on the packet what is the maximum number of seeds that can be sown in the garden?

Using the instructions on the packet what is the maximum number of vegetables that can be grown in the garden?

An addition challenge suitable for year 4 on.

The fish are all called numbers. Can you work out their names by solving the clues?

Investigations

More open ended activities where children choose the approach to the task.

Making rules for sequences is an early step towards understanding algebra, and an important part of Year 5 maths. More 'How would you...?' type questions as well.

How many different three course meals can Sam choose?

Investigate patterns made by placing consecutive numbers in a number square.

A great little investigation which has plenty of extension possibilities.

Fun addition investigation using the date: 22.02.2022.

Some thoughts on how important this area of maths is.

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Tricky Time Problems Year 4

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

13 November 2014

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Great problems for my functional skills learners, thank you.

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A great wee resource thanks for sharing!

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Guest Essay

That Strange Piece of Metal Origami Embodies All of Elon Musk’s Flaws

By Elizabeth Spiers

Ms. Spiers, a contributing Opinion writer, is a journalist and a digital media strategist.

Some of the problems Tesla is facing — including first-quarter profits that are down 9 percent from last year, stressful months for shareholders and layoffs of about a tenth of its work force — are the result of factors affecting the electric vehicle industry as a whole. But many of Tesla’s troubles are unique to Tesla and the fact that its chief executive and co-founder, Elon Musk, is unique to the auto industry. He’s a Silicon Valley creature in a Detroit ecosystem who values innovation for its own sake, even at times when he could be more focused on safety and quality. His ethos and approach to running Tesla are embodied by his pet project, the Cybertruck.

Though it fits the technical definition of a truck (it has a bed), the vehicle looks more like an origami version of an El Camino. Mr. Musk suggested its stainless steel exterior might be bulletproof; some owners say it rusts.

It’s not unusual for new car and truck models to have some flaws, but the Cybertruck, which has sold only about 4,000 units, was recalled recently because the accelerator had a sticking problem, which is sort of like a parachute having a gaping-hole-in-the-canopy problem. Some owners have reportedly gotten an alert that the “vehicle may suddenly lose electrical power, steering and propulsion.” And you may want to watch your fingers with the frunk (front trunk) and doors; they don’t have industry standard sensors that can keep doors from snipping off someone’s digits. (The Cybertruck’s lead engineer said the steel doesn’t rust, and the company is working on the frunk issue .)

Tesla delayed the Cybertruck’s release a few times in order, the company said, to fix design and manufacturing flaws, but Mr. Musk’s primary focus often appears to be the aesthetics of science fiction and the desire to be seen as edgy (perhaps literally so in the case of the Cybertruck, which is surprisingly devoid of curves for a machine that needs to be aerodynamic). This is a man who named his child X Æ A-12, who rebranded Twitter as X and who endlessly engages in the performative subversion of posting antagonistic memes. Conventional automakers produce daring-looking concept cars, too, but they’re not made for mass production, and unlike the retro-futuristic Cybertruck, they are crafted with an eye toward what transport will look like in the future, not what the future looked like in the past.

Musk’s approach to innovation is in keeping with much of Silicon Valley’s. The tech industry puts a cultural premium on shipping products to market quickly and worrying about the consequences of any unfinished work, harmful features or deficiencies after consumers complain or the company gets sued. “Move fast and break things” is intended as a battle cry against sclerotic institutions and norms, but sometimes things get broken that should have been protected, like consumer privacy and safety. Democracy, even.

The consequences may be negligible if the product is an entertainment app, but with cars and rockets, the stakes are terrifyingly high. Tesla gives the impression that it accepts certain risks as the price of innovation.

The people who venerate Mr. Musk think of him as someone who takes big risks, someone with a vision that no one else has. I think his risk taking is better explained by an anecdote in Walter Isaacson’s biography . Once when Mr. Musk played Texas hold ’em, his former colleague Max Levchin said, Mr. Musk kept betting everything and losing, putting in more money and losing more rounds until he finally won one.

There are people who hear this story and think, “Wow, what an exciting high-stakes risk taker!” There are other people (me) who think risking it all is relative and it’s easy to go all in when you can always buy more chips. When Mr. Musk put a big chunk of his PayPal exit money into SpaceX and Tesla, it might have been because he saw specific opportunities. It might also have been that his desire to be viewed as cool and edgy made him interested in fast cars and shiny rocket ships. Or it might have been an impulsive decision based on emotion and in-the-moment appeal. It wouldn’t be the first or last time he made major decisions that way.

Mr. Musk came into the auto business as an investor, with no expertise in the industry. Like many of his tech counterparts, he operates as though his knowledge and skills are essentially transitive to any business. He’s repeatedly told that he’s a genius, and the venture capitalists who fund his industry routinely insist that a talented founder can run any company. Tesla’s early success lent credence to this view. But recent events — and the heightened scrutiny that all public companies receive — have revealed the extent to which his ego drives the company. He has embellished his engineering credentials, dismissed or fired experts who disagree with him and spent a great deal of energy on X trying to manage his public persona and cheerleading right-wing trolls. (Ross Gerber, a shareholder, says that has damaged the Tesla brand; he may be right, considering that sales are down among Democrats, according to one poll. )

The Cybertruck is a manifestation of Musk’s immaturity, both as a person and as a chief executive. It is futuristic in a way that is adolescent and unprincipled. It is reflective of a mentality that says rejecting expertise is appealingly subversive instead of plainly dangerous. It is not yet ready to exist in the adult world.

On an earnings call last week, Mr. Musk promised to deliver a more affordable E.V. by 2025. He has blown through many deadlines, but a cheaper electric vehicle is a sensible goal. He also promised something else: a sentient humanoid robot, something experts have said is not possible. He introduced an early prototype of the robot, called Optimus, in 2022. Videos showed it staggering around a stage and pantomiming a dance. It was retro-futuristic looking, with a silver-toned exterior. It looked, in short, like an ambulatory recycled Cybertruck.

Elizabeth Spiers, a contributing Opinion writer, is a journalist and a digital media strategist.

The Times is committed to publishing a diversity of letters to the editor. We’d like to hear what you think about this or any of our articles. Here are some tips . And here’s our email: [email protected] .

Follow the New York Times Opinion section on Facebook , Instagram , TikTok , WhatsApp , X and Threads .