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times tables homework y4

MTC: Multiplication Tables Check Year 4, Key Stage 2

Practice times tables test for y4, ks2, take an mtc practice test.

25 questions. 6 seconds per question. 3 seconds between questions.

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Marked Questions

The mtc: who and how.

From the 2019/2020 academic year, all children in Year 4 in English state schools (aged 8-9) will sit the new Multiplication Tables Check (MTC).

The test will be taken in June each year.

Children will take the times tables test on a computer or tablet.

The Department for Education published their MTC framework and this site follows their formulas to create practice tests.

The questions are delivered at the same pace as the official MTC.

How to Practise for the Y4 Multiplication Tables Check (MTC)

The best way to practise for a standardised test is to take 'practice tests' that mimic the real thing as closely as possible.

Practise until you're un-phased by the format and can do yourself justice.

The tests on this page are ideal for practice.

BUT if you don't already know your times tables pretty well these practice tests won't help you to learn them.

They will, however, show you which multiplication tables you're shakey on, so that you can practise them separately .

How to Learn your Times Tables (Multiplication Facts)

Before you start practicing for your MTC, it's a good idea to learn your times tables... properly!

There's only one way to learn times tables, and that's by repetition - i.e. practicing!

If you don't use your times tables every day for the maths you're learning in school, you'll need to repeatedly recall your multiplication facts daily or weekly from now until you take the test.

There are many ways to go about learning your times tables, for example using flash cards, youtube songs, multiplication games, or my out-and-out favourite method:

Singing each times table with the absolute minimum of faff .

Using the catchy chants from Talking Times Tables you can recite each times table in less than 15 seconds.

It's fast, it's efficient, and it gets practice over with very quickly so that you can get on with your day!

You can try it for yourself here .

How the MTC Questions are Chosen: The MTC Framework

Each test will have:

  • A total of 25 questions.
  • No reversals (e.g if 4x3 is on the test, then 3x4 will not be).
  • No questions from the 1 times table (e.g. not 1x7 or 7x1).
  • Up to 2 questions from each of the 2 and 10 times tables.
  • Between 1 and 3 questions from each of the 3, 4, 5 and 11 times tables.
  • Between 2 and 4 questions from each of the 6, 7, 8, 9 and 12 times tables.

Children will have:

  • 6 seconds to answer each question.
  • 3 seconds between each question.

Please note: The MTC Framework considers the first number in the sum to be the times table, and the second number to be the multiple.

i.e. <times table> x <multiple>

So 7x4 comes from the 7 times table (not the 4 times table).

If you recite times tables, you might think of it the other way around: 1x7=7,  2x7=14 etc

The numbers of questions listed above refer to how many times a number can appear as the first number in the sum.

(e.g. "Between 2 and 4 questions from the 7 times table" means there should be between 2 and 4 questions that begin 7x...)

There are more rules, relating to how many KS1 (2, 5 and 10 times tables) level questions can be included overall, and how many times each multiple (the second number) can appear. The practice tests on this site follow all of the rules. You can read the published framework here: Department for Education: Multiplication tables check assessment framework .

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Multiplication Tables Check

This activity exactly mirrors the 'Multiplication Tables Check' that will be given to children at the end of Year 4. They are tested on their multiplication tables up to 12 x 12. There are twenty-five questions and children have six seconds to answer each question and three seconds between questions. The questions are generated randomly using the same rules as the 'Multiplication Tables Check' (see below).

Results can be downloaded and printed at the end of the test.

A similar activity which tests recall of number bonds can be found here.

For more multiplication games click here.

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4

times tables homework y4

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Year 4 Times tables worksheets

Free worksheets: times tables, ks2, y4.

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6 times table as repeated addition worksheet

6 times table as repeated addition

11 times table speed grids worksheet

11 times table speed grids

7 times table patterns worksheet

7 times table patterns

Mixed times tables KS2 quiz

Mixed times tables KS2 quiz

Mixed times table worksheet KS2

Mixed times tables challenge

Page from Year 4 Function Machine worksheet

Year 4 function machine activity

Complete the multiplication square: 7, 11 and 12 times tables

Complete the multiplication square: 7, 11 and 12 times tables

Complete the multiplication square: 6 and 9 times tables

Complete the multiplication square: 6 and 9 times tables

12 times table timed test

12 times table timed test

11 times table timed test

11 times table timed test

9 times table timed test

9 times table timed test

7 times table timed test

7 times table timed test

6 times table timed test

6 times table timed test

Y4 times tables timed test

Y4 times tables timed test

Times tables puzzle

Times tables trail

Multiples of 12 speed quiz

Multiples of 12 speed quiz

Multiples of 11 speed quiz

Multiples of 11 speed quiz

Multiples of 9 speed quiz

Multiples of 9 speed quiz

Multiples of 7 speed quiz worksheet

Multiples of 7 speed quiz

Finding multiples of 12 worksheet

Finding multiples of 12

Finding multiples of 11 worksheet

Finding multiples of 11

Finding multiples of 9 worksheet

Finding multiples of 9

Finding multiples of 7 worksheet

Finding multiples of 7

times tables homework y4

times tables homework y4

Use this fun times table game from mathemagician Andrew Jeffrey to help your child learn the seven times table.

For more ideas, download our free times tables booklet [PDF] , which is bursting with tips and hints for overcoming some of the harder times tables.

3. Play times tables games

Games and challenges are a great way to support learning, and a few minutes a day will make all the difference. Why not play snap with some times tables flashcards , matching the sums to the answers as fast as you can?  Using games keeps practice short and sweet, and makes the process much less of a chore for you and your child.

You can find a collection of times tables games and activity sheets on our Help with times tables page .

4. Make it real

If your child can’t see any point in learning their times tables, try showing them how this knowledge is useful in everyday life. Instead of just rote learning their times tables, try to create opportunities for your child to use multiplication in problem solving.

For example, ask them to scale up a recipe or calculate whether they have enough money to buy more of their favourite things (such as sweets or football cards). This will help your child see the value of their learning.

5. Practise on the computer

More from oxford owl.

  • Times tables tips blog post
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Multiplication Tables Check (MTC)

The best way to support children preparing for the MTC is to ensure they have regular and varied practice of their times tables. This will develop their number recall, improve their number fluency and help them to answer questions within the 6 seconds time-frame!

To support you and your pupils, our Sumdog times tables features includes a replica of the MTC to familiarise children with the layout of the check.

Our MTC practice tool

Mapped to the Department for Education’s specifications to support the statutory Multiplication Times Table Check in Year 4 , our free MTC replica familiarises children with the layout and time limit of the check.

As well as rewarding their effort with coins to spend in their house or garden, keeping them motivated and engaged in their learning. Reporting functionality also enables you view, save and share pupils’ accuracy to inform your teaching.

If you'd like to set the MTC as a challenge, simply log in or request a free trial of Sumdog Premium!

Our MTC practice tool

Sumdog MTC Pack

Check out free resources designed to help you prepare your pupils for the Multiplication Tables Check: 

  • An overview of the MTC
  • The Sumdog Pathway to Multiplication Success
  • Lesson plans for Year 2 and Year 4
  • Downloadable times tables cards

Sumdog MTC Pack

Times tables practice on Sumdog

Regular, varied and engaging tables practice is key to developing fluency.

  • Personalised tables practice in just a few clicks –    You can set personalised tables practice for your whole class in less than a minute. They choose the game they want to play whilst you choose the table they need to practise!
  • Children love to learn using Sumdog  – Pupils are rewarded with virtual coins for practising which they can use in their house or on their personal avatar! Set it as homework to continue the learning beyond the classroom.
  • Identify areas for improvement   – Use the heatmap to quickly see where children are struggling and identify the tables that need some extra practice.

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Multiplication tables check

Number of questions: 5 10 20 25

Time per question: no limit 6 sec 10 sec

Show score during test: no yes

You can change the difficulty by using more time or no time limit at all per question. After the test you can print the results.

What is the Multiplication Tables Check

The Multiplication Tables Check (MTC) is a key stage 2 assessment to be taken by pupils at the end of year 4 (in June). The MTC’s purpose is to ensure the times tables knowledge is at the expected level. In the 2023/2024 academic year, the multiplication tables check (MTC) is statutory for primary schools.

The Multiplication Times Tables Check is an online test where the pupils are asked 25 questions on times tables 2 to 12. For every question, you have 6 seconds to answer, and in between the questions, there is a 3-second rest. Questions about the 6, 7, 8, 9, and 12 times table come up more often. The questions are generated randomly based on the rules of the MTC.

How to prepare

A good way to prepare is to start early and build a daily routine practising the times tables. With regular practise you will learn all the questions and gain confidence. We suggest practising 10 to 15 minutes a day for optimal results.

A good start is first to make the five step plans for all the times tables to ensure you made all the questions and have good basic knowledge of the times tables. Then you make the MTC test sample on this page and see how you are doing and where to focus on. When you like to improve your speed or focus on a few times tables, you can use the speed test, diplomas, worksheets or play games like Blocky Multiplication and My Smart Horse to practise.

The year 4 Multiplication Tables Check trial run on this page will help one become more comfortable reading and answering on a screen. The Multiplication Tables Check trial results can be downloaded and printed at the end of the test.

For more information on the assessment framework check ‘ this ’ government website

Times tables games

times tables homework y4

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Multiplication table worksheets

times tables homework y4

Mixed worksheets

Printable times tables quiz generator, times tables worksheet, name:_____________, timestables.com, answer sheet.

Would you like to practice your tables at your leisure? Below you will find tables practice worksheets. Click on one of the worksheets to view and print the table practice worksheets, then of course you can choose another worksheet. You can choose between three different sorts of exercises per worksheet. In the first exercise you have to draw a line from the sum to the correct answer. In the second exercise you have to enter the missing number to complete the sum correctly. In the third exercise you have to answer the sums which are shown in random order. All in all, three fun ways of practicing the tables in your own time, giving you a good foundation for ultimately mastering all of the tables. Choose a table to view the worksheet.

Practice your tables worksheets

A great addition to practicing your tables online is learning them with the assistance of worksheets. Here you can find the worksheets for the 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12 times tables. You can also use the worksheet generator to create your own multiplication facts worksheets which you can then print or forward. The tables worksheets are ideal for in the 3th grade.

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Table of 4 is provided here. It is essential for the students to memorise the table which can help them in fast maths calculation. Learning table helps students to save a lot of time, especially in the time-based examination. Students can find table of 4 up to 20 times that needs to be memorised for fast calculation and solving the problems.

Table of 4 Chart

Table of 4

Multiplication Table of 4

4 x 1 = 4
4 x 2 = 8
4 x 3 = 12
4 x 4 = 16
4 x 5 = 20
4 x 6 = 24
4 x 7 = 28
4 x 8 = 32
4 x 9 = 36
4 x 10 = 40
4 x 11 = 44
4 x 12 = 48
4 x 13 = 52
4 x 14 = 56
4 x 15 = 60
4 x 16 = 64
4 x 17 = 68
4 x 18 = 72
4 x 19 = 76
4 x 20 = 80

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times tables homework y4

In four table 92 comes

To check if 92 comes in table of 4, we can divide 92 by 4. 92 ÷ 4 = 23 Since, the quotient is the whole number, therefore 92 is the multiple of 4. So, 23 times of 4 is 92

times tables homework y4

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KS2 Times Tables to 12 x 12 Multiplication Grid Free Taster (Y3 Y4 Y5 Y6)

KS2 Times Tables to 12 x 12 Multiplication Grid Free Taster (Y3 Y4 Y5 Y6)

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

MATHSCAMP

Last updated

10 October 2022

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Math with Bad Drawings

Lover of math. Bad at drawing.

Is Memorization Necessary, Evil, or Both?

At  The Atlantic  today, I have an essay  weighing in  on the decades-long debate over memorization, trying to cut a middle path between two extremes:

1. “Memorization is the enemy. It’s the antithesis of critical thinking and conceptual learning. Memorization’s defenders are wilfully blind soldiers marching for an outdated tradition.”

times tables homework y4

2. “Memorization is an essential tool for students. It’s the surest path to retaining important facts. People who denounce it are letting liberal orthodoxy get in the way of our children’s achievement.”

times tables homework y4

I’d summarize my view along these lines:

3. “Memorization is a generally-not-great shortcut. It’s better than not knowing at all, but it’s not nearly as enduring, effective, and powerful as meaningful learning.”

times tables homework y4

In math, the classic example of a thing that “must” be memorized is the times tables. Amidst the din of debates about education, the one agreed-upon truth seems to be that all kids ought learn their times tables. It’s comparable to the moral rightness of  Brown v. Board of Education –a universally accepted belief.

That makes the times tables a good test case for whether memorization is really necessary. So here’s my times-table story, in which a colleague succinctly captures the entire point of my  Atlantic piece:

A friend who teaches Physics once told me that, growing up in Moscow, he’d never learned the times tables. “I don’t really get the American system, with the flashcards and the multiplication facts,” he told me.

“Really?” I said. “You don’t know 9 times 7?”

“63,” he said without hesitation. “I just picture ten 7s, which is 70, and then I take away one 7, which leaves 63.”

“You can’t be thinking it through like that,” I said. “You answered too fast.”

“Well, that’s how I learned it at first. But if something makes sense to you, and you use it enough, you don’t need to memorize it.” He shrugged. “You just know it.”

Anyway, go check out  the piece !

EDIT 9/11/2013: Just wanted to address two criticisms of the piece, each quite valid, I think. First:

@benorlin May not have been intent, but opening of piece read a bit like you were proud to catch & fail student, which I found unfortunate. — Patrick Honner (@MrHonner) September 11, 2013

I regret writing so flippantly about that case of cheating. It’s a complex, sad story (mine was far from the only test he cheated on), and I’m relieved to say it has a happy ending. The student learned his lessons, got into a good college, and I know he’ll do great things in the future. He won back my respect, and then some, to the point where I’m very proud to have known and taught him.

Second, the more common complaint:

Sometimes, memorization is really useful. Even necessary.

It depends on how you define memorization. If you accept my (admittedly debateable) definition, then “memorization” refers to the combination of rote learning and memory tricks (like mnemonics). These are almost never ideal. Memorization treats facts as arbitrary and interchangeable, which is silly. You’ll remember facts better, and use them more effectively, if you treat them as the interconnected web they are.

The exception–which nobody, from what I’ve seen, has really prosecuted–is vocabulary. By nature, words in a language bear only an arbitrary, symbolic relationship to the concepts they signify. For learning vocabulary (especially in a foreign language), memorization is a useful tool, even under my limited definition.

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34 thoughts on “ Is Memorization Necessary, Evil, or Both? ”

Your example is a good one. But, your Russian friend has indeed memorized the multiplication facts. He has memorized in a different, and better, way than most students in America, but without automaticity of basic facts, he wouldn’t today be a Physicist.

Great example. The difference is that he has a way to work it out when he doesn’t know the answer straight away. Students who memorise often don’t.

Definitely! That’s a major advantage of acquiring knowledge this way, instead of by rote: it’s much easier to reconstruct.

(Most memory works by reconstruction, anyway–our methods should probably embrace that fact.)

I think the only difference is how we define “memorization.” I define it as “learning a fact through deliberate effort, in isolation from other facts.” Under that definition, my friend didn’t memorize anything, and in general, memorization is rarely the best alternative.

If you use a broader definition–like “taking steps to remember something long-term”–then my friend’s strategy counts as memorization, and in general, memorization of that type is very valuable.

Memorization is where to start from and build upon- the template which serves as guide and reference for all later information…

I think that’s a fair stance–one of the reasons memorization isn’t totally evil.

Sometimes, the rote memorization comes first and then as we use the recalled facts, the connections and non-rote features of what we’ve memorized have a chance to surface. This was certainly true for me with the multiplication tables.

That’s true, and well-said.

For some students, these connections will inevitably surface, given enough time. For other students, it takes deliberate effort on the teacher’s part to bring them to light. It’s for the latter students that rote memorization poses a greater danger–once they’ve learned a fact, they feel that they know it, and have no need to inspect it further, which closes the door on understanding deeper features.

Whenever I’m teaching my math classes, I try as hard as I can to try and explain not only how to do each step, but WHY I am doing each step. I can’t speak for other subjects, but I feel like a) most math teachers don’t bother to explain the ‘why’, and b) most students don’t care about the ‘why’.

So how do we fix those issues? I haven’t fully figured it out yet.

I think both issues are not mutually exclusive (yay math terms!), either. The students’ lack of caring about deep understanding in mathematics leads to frustration and abandonment of its teaching. I think every math teacher has done it — exasperated, you exhale loudly and go “You do this and get the answer.” It’s pretty discouraging to do.

For example, I was teaching my Algebra II students the other day how to work with fractions in equations (I have a saying — ‘fractions are your friend’ — oh, no? well, at least be their acquaintance). My method is getting them to find a common denominator for each term, put each term in that common denominator and finally rewrite the equation with only numerators, essentially making the denominators — and fractions — ‘disappear.’ At first I introduce it as a trick, like a magician, but I make sure to explain many times exactly what mathematical procedure I am doing (multiplying each term by its now common denominator). I explain that it comes into play in other topics — like literal equations and finding a single variable — when multiplying by a denominator is important. I’d like to think that this explanation helped their understanding more than just saying “hey guys, remember the trick I taught you!” but I really can’t be sure.

The way I try to assess deep understanding is a written or verbal explanation of the problem. (Oh my gosh, writing and speaking in math?! NEVER!) Sometimes, I’ll have the kids get up and ‘teach’ the class and make them explain exactly what they did. I’m there for support — moral and mathematical — but hearing a student be able to explain it like I do is, to me, the final level of understanding.

I also hate memorization of formulas. I am getting ready to teach factorization of the difference of cubes, and, as I write this, I don’t remember the formula. This is the first time I’m teaching it. I’m a math teacher…so what’s the point of making a bunch of juniors memorize it? Knowing when to use it is the most important aspect.

Anyway, it’s sometimes difficult to translate abstract concepts to their usefulness in everyday life — which, largely, is problem-solving skills in the real world. When will you need to be able to factor the difference of cubes? Likely never, but knowing how to problem solve will be extremely useful later in life.

Agreed. I certainly didn’t know the formula for factorizing a difference of cubes the first time I taught it–which is fine, because it’s easy enough to determine if you just divide the original expression by the linear factor.

I know that resigned feeling of, “Ugh, fine, here’s how you do it.” I try to avoid it when I’m teaching a class, but when you’re tutoring another class, or preparing a kid for a test, it’s sometimes hard to escape.

One reason to seek computational proficiency in our students–not a very highminded reason, but a real one–is to prepare them for later math classes. You need strong algebra skills to thrive in college math, and while you might not need college math to thrive in the real world, it sure opens a lot of doors.

Ben Loved The Atlantic piece. Shared it with my department and was just discussing some of the issues with my physics teacher colleague. I have to admit that after 27 years I have not come to peace with the balance between valuing facts and equation recall with believing (REALLY believing) that testing thinking needs to be my primary goal. You seem to advocate the formula sheet in the article – do you allow it/recommend it in practice? I do agree with some of the commenters there that a well put together formula sheet rarely gets referenced due to its helpful organizing power. How do you handle this in your day to day class life?

Glad you enjoyed the piece!

The irony of my essay is that, even after the cheating experience I describe, I still didn’t allow a formula sheet. In trigonometry, I make a few concessions, giving them the Law of Cosines and sometimes the formula for cos(a-b) (but none of the related formulas).

I expect them to deduce the rest of their formulas. All the trigonometric identities are variations on a few key ones (sin^2 + cos^2 = 1, cos(pi/2 – x) = sin(x), cos(a-b) = cos(a)cos(b) + sin(a)sin(b)). Having spent several weeks in class seeing how these formulas connect, and using them nightly on the homework, students should know them cold for quizzes and tests.

Sometimes I’ll assign a formula sheet for homework, because I do agree that making the sheet can be a helpful exercise. But I don’t allow them to refer to it during assessments.

I have to confess that some students probably memorize those formulas in precisely the way I counsel against in the piece. But I urge them NOT to memorize by rote or by mnemonic trick, and most seem to heed that advice. They mostly retain them by what I consider better methods–repeated use, and meaningful connections to other knowledge.

Even though I remember memorizing my times tables in the 4th grade, there are very few Products that I quote from memory. (7×8=56 is one example of strict memorization. I was having trouble remembering the answer until I realized that the four digits in the equation are a “straight” – 5678.) For just about every other combination of multiplier/multiplicand I feel like I don’t trust my memorization, such that even if I do remember the answer, I check it before proceeding… and I use tricks like your Russian friend.

In the case of 9 * x = 10x – x… the two operations on the right side of the equation are a lot easier and quicker to do in my head than the one on the left. BONUS: once you learn a trick like this with small numbers, you can apply it to tougher situations. For example, I can start with 45 x 9 and arrive at 405 very quickly by turning it into 450 – 45; and certainly a lot faster than “9×5=45, hold the 5, carry the 4, 9×4=36, plus 4=40, wait, what was the first digit I was holding?”. LESSON: It is better to memorize a single method (which you retain by usage) than several individual answers.

That’s a great example of how limited memorization’s power is compared with actual understanding. A memorized fact sits in place, isolated. But a deep understanding you can carry with you, and use it to acquire other facts.

This is why I don’t make my chemistry students memorize the periodic table. They already know a few elements (hydrogen and oxygen, from H2O), but probably haven’t grokked the association of O = oxygen before. They will learn a few more elemental symbols by the end of the first semester. But I really care about how they use the information. Just *knowing* that CO2 has carbon and oxygen in it tell you nothing about its behavior. Because of the elements’ positions in the periodic table, CO2 is likely to (and does indeed have) strong covalent bonds, is very non-polar, and therefore will interact well only with other non-polar molecules… now that’s more useful.

That makes sense–the parallels between chemistry and math seem pretty strong.

I remember my own (totally brilliant) high school chemistry teacher made us memorize the first three periods. That one’s an instance of memorization I think worked beautifully–it helped to have some structure at our fingertips as we learned the deeper content. But it’s only worthwhile if you actually GET to the deeper content, and I can see the advantages of not asking kids to memorize that.

When you say “memorized the first three periods”, did you memorize just element and symbol, or positions, or properties or…? Most people only memorize element and symbol, which is just an abbreviation. It’s like memorizing all of the two-letter state codes for the post office (which I had to do in 6th grade), and isn’t super useful, especially now that digital communication is much more prevalent.

Devil’s Advocate: Did memorizing the first three periods of the table help more than, say, just looking at a printed table while discussing deeper content?

What I memorized was a string of syllables (“H-He, LiBeB C NOFNe…”) that allowed me to reconstruct the positions of the first handful of elements. It wasn’t super-emphasized–just part of one night’s homework–and I don’t think it made a HUGE difference, though it lubricated the problem-solving a little to know off the top of my head that, say, Lithium and Sodium were both alkali metals. We always had access to a periodic table on tests, though.

Actually, I think that kinda proves my point. Your strings of syllables don’t tell you that Li and Na are alkali metals (because families run vertically, not horizontally). You remembered the alkali fact on its own.

Now, if we made student remember elements vertically, then it might be more helpful.

That’s fair–I think what we’re saying is compatible. Having facts at your fingertips can be valuable, especially early in learning a subject; but it’s a very small part of the picture, and absolutely shouldn’t preclude learning the important stuff.

Some thoughts on memorization:

Memorization is a stop-gap measure that allows you to use a fact while gaining enough experience to internalize it.

Rote memorization is important when you kind-of know something. For example, if you see sines and cosines repeatedly and know that sine/cosine takes things with {0,1,2,3,4,6,pi, /} to things with {0,1,2,3,/, sqrt}, then memorization helps you keep track of what exactly goes to what. For me, when I develop a general intuition about some fact, I’ve only really nailed down that fact in concept space to a small neighborhood of the fact I want to remember. Memorization helps distinguish the real fact from small deviations that might seem true based on my intuition.

Reconstruction doesn’t answer the question: if you can reconstruct 7*9 = 63 by a simple modification of 7*10 = 70, then you’re really just reducing the problem to rote memorization of another fact.

You can’t make connections between facts that aren’t in your head to begin with.

On this track, you have to start somewhere. When begins as an isolated fact, memorized purely for its own sake with no connections to other knowledge, later becomes a point of contact to which you attach new facts as you learn. When I learned European History, the year 1517 started out as a meaningless date that I needed to memorize and only later did I gather enough other facts to understand its importance. In fact, it became an anchor that secured my understanding of the Reformation.

That’s a good perspective. I think you’re quite right about the role of some memorization as an (often useful) intermediate step between ignorance and well-integrated conceptual knowledge. One might say that learning often begins with a small act arbitrary memorization, and by the end, the arbitrariness is gone, though the fact remains.

A rock-climbing analogy I use: A memorized fact is like a hand-hold. Memorize too little, and you can’t climb at all. Memorize too much, and you’re not really climbing.

Still, when possible (which isn’t always), it helps to elaborate on connections immediately, while the “arbitrary” new fact is still sitting in short-term memory.

For example: When I define “even function” for my students, I show them a verbal definition (“opposite inputs give the same output”), a symbolic definition (“f(x) = f(-x)”), and some sample functions, while asking them several quick questions (“If (2,1) is on the graph of an even function, what other point is?” and “Is f(x) = c even?”) By the time we’re done, 5-10 minutes later, they’ve internalized the definition by connecting the various representations of a function. There’s no particular need for memorization.

That said, your example (the values of sine and cosine for common angles) may be one where a little memorization really is the best course.

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I non potevo astenersi dal commentare . Perfectly scritto !

This post is worth everyone’s attention. How can I find out more?

Hi Ben, thank you for this blog. Truly. Have you seen the study on elementary students and arithmetic by Gray and Tall? http://homepages.warwick.ac.uk/staff/David.Tall/pdfs/dot1994a-gray-jrme.pdf They found that students who were successful in math (as judged by their teachers), used a combination of memorized facts and derived facts whereas less successful students relied on counting. Memorization does have it’s place, but only alongside reasoned thinking.

its not it’s!

If you understand everything but still sometimes at the exam time you might forget a bit for that memorising is a handy tool. I will say learn everything and then memorise it all that way you know it and remember small details for longer time and even get better marks .

My daughter had a hard time learning the multiplication table. So I wrote an android application to help her 🙂

Each exercise you solve helps you to feed the cute panda. You can get daily reminders to feed the panda (solve exercises) and you get rewarded with trophies upon goals completion.

This application helped her to learn the multiplication table without noticing 🙂

* Currently the application is only for Android phones * https://goo.gl/9QutZx

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Dinamo Moscow statistics

  • Premier League
  • Dinamo Moscow

Welcome to Dinamo Moscow (Russia - Premier League) statistics . Below you find a lot of statistics for this team. Last and next matches, top scores, best players, under/over stats, handicap etc.

Dinamo Moscow Stats

Last 6 matches stats, overall matches stats.

Zenit St. Petersburg

Statistics of the season

Premier League

  • Top scorers
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# Team GP PTS W D L G+ G- GD Form NG H2H
1 30 63 19 6 5 62 21 41 Rubin Kazan ">W Zenit St. Petersburg ">D Rubin Kazan ">W Krylya Sovetov Samara ">W Rubin Kazan ">W ">
2 30 55 17 4 9 61 33 28 Spartak Moscow ">L CSKA Moscow ">L Spartak Moscow ">L FC Rostov ">W Spartak Moscow ">W ">
3 30 54 15 9 6 48 27 21 Spartak Moscow ">W Zenit St. Petersburg ">D Terek Grozny ">W Zenit St. Petersburg ">L Spartak Nalchik ">D ">
4 30 54 15 9 6 43 30 13 Lokomotiv Moscow ">W Lokomotiv Moscow ">W Amkar ">W Lokomotiv Moscow ">W Saturn Ramenskoye ">D ">
5 30 52 16 4 10 48 30 18 Saturn Ramenskoye ">W CSKA Moscow ">W Rubin Kazan ">L Terek Grozny ">W FK Moskva ">L ">
6 30 48 13 9 8 39 28 11 Dinamo Moscow ">L Spartak Nalchik ">L FK Moskva ">D Zenit St. Petersburg ">W FK Moskva ">W
7 30 45 13 6 11 38 41 -3 Saturn Ramenskoye ">L Krylya Sovetov Samara ">W Saturn Ramenskoye ">W Khimki ">W Saturn Ramenskoye ">D ">
8 30 42 12 6 12 31 37 -6 Dinamo Moscow ">W Lokomotiv Moscow ">L Dinamo Moscow ">W Amkar ">D Dinamo Moscow ">D ">
9 30 41 11 8 11 31 39 -8 Tom Tomsk ">W FC Rostov ">W Tom Tomsk ">W Lokomotiv Moscow ">L Tom Tomsk ">D
10 30 36 10 6 14 32 42 -10 Tom Tomsk ">L Krylya Sovetov Samara ">L Spartak Moscow ">W Krylya Sovetov Samara ">L Terek Grozny ">W ">
11 30 35 8 11 11 36 33 3 Terek Grozny ">W Spartak Nalchik ">W Dinamo Moscow ">L Kuban Krasnodar ">W Spartak Nalchik ">D ">
12 30 33 9 6 15 33 48 -15 Terek Grozny ">L Kuban Krasnodar ">L Terek Grozny ">L Terek Grozny ">L Terek Grozny ">L ">
13 30 33 8 9 13 27 37 -10 Amkar ">D Khimki ">W Amkar ">L Amkar ">D Tom Tomsk ">D ">
14 30 32 7 11 12 28 39 -11 Amkar ">D FC Rostov ">L Saturn Ramenskoye ">L FC Rostov ">L Rubin Kazan ">L ">
15 30 28 6 10 14 23 51 -28 Rubin Kazan ">L Kuban Krasnodar ">W FK Moskva ">D Kuban Krasnodar ">L Dinamo Moscow ">D
16 30 10 2 4 24 20 64 -44 Lokomotiv Moscow ">L Khimki ">L Tom Tomsk ">L Khimki ">L Spartak Moscow ">L ">

times tables homework y4

  • quarterfinal
# Team GP PTS W D L G+ G- GD Form NG H2H
1 30 68 20 8 2 61 21 40 Krylya Sovetov Samara ">D Zenit St. Petersburg ">D FC Rostov ">W CSKA Moscow ">L Zenit St. Petersburg ">W ">
2 30 62 18 8 4 51 22 29 CSKA Moscow ">D Spartak Moscow ">W CSKA Moscow ">D CSKA Moscow ">W Krylya Sovetov Samara ">W ">
3 30 58 15 13 2 37 16 21 Rubin Kazan ">D Zenit St. Petersburg ">D Rubin Kazan ">D Spartak Moscow ">D Rubin Kazan ">W ">
4 30 49 13 10 7 43 33 10 Spartak Moscow ">D Spartak Moscow ">L Krylya Sovetov Samara ">D Spartak Moscow ">D FC Rostov ">W ">
5 30 48 13 9 8 34 29 5 Rubin Kazan ">D Lokomotiv Moscow ">W Sibir Novosibirsk ">D Lokomotiv Moscow ">D Lokomotiv Moscow ">W ">
6 30 44 12 8 10 40 37 3 Anzhi Makhachkala ">L Spartak Nalchik ">L CSKA Moscow ">D Saturn Ramenskoye ">W Spartak Nalchik ">D ">
7 30 40 9 13 8 38 31 7 Spartak Moscow ">D Dinamo Moscow ">L Rubin Kazan ">D Dinamo Moscow ">D Sibir Novosibirsk ">W ">
8 30 37 10 7 13 35 43 -8 FC Rostov ">W Tom Tomsk ">W Alania Vladikavkaz ">D Tom Tomsk ">L Amkar ">W
9 30 34 10 4 16 27 44 -17 FC Rostov ">L Lokomotiv Moscow ">L FC Rostov ">L Dinamo Moscow ">D FC Rostov ">L ">
10 30 34 8 10 12 27 38 -11 Alania Vladikavkaz ">D Saturn Ramenskoye ">W Amkar ">D Saturn Ramenskoye ">L CSKA Moscow ">D ">
11 30 33 9 6 15 29 39 -10 Anzhi Makhachkala ">W Saturn Ramenskoye ">L Anzhi Makhachkala ">W Tom Tomsk ">W Lokomotiv Moscow ">L
12 30 33 8 9 13 28 34 -6 Sibir Novosibirsk ">D Terek Grozny ">L Anzhi Makhachkala ">L Terek Grozny ">L Spartak Nalchik ">D ">
13 30 31 7 10 13 28 40 -12 Krylya Sovetov Samara ">D Dinamo Moscow ">W Krylya Sovetov Samara ">D Krylya Sovetov Samara ">L Rubin Kazan ">L ">
14 30 30 8 6 16 24 35 -11 CSKA Moscow ">D Spartak Nalchik ">W Amkar ">D Terek Grozny ">W Amkar ">L ">
15 30 30 7 9 14 25 41 -16 Alania Vladikavkaz ">D Terek Grozny ">W Alania Vladikavkaz ">D Lokomotiv Moscow ">D Alania Vladikavkaz ">L
16 30 20 4 8 18 34 58 -24 Sibir Novosibirsk ">D Tom Tomsk ">L Sibir Novosibirsk ">D Zenit St. Petersburg ">L Sibir Novosibirsk ">L

Dinamo Moscow Fixtures

Spartak Moscow

# Player goals Avg
1
2
3
4
5
6
7
8
9
10

Goals stats

Name Value Percent
Goals scored 83 Avg: 1.15
Goals conceded 84 Avg: 1.17
Matches in which team and opponent scored goal (Both teams to score) 34
Matches in which the team has not lost a goal. 22
Average sum of goals scored by the team and the opponent 2.32
Winning matches to zero (WTN) 15
Lost matches to zero (LTN) 16
Matches in which the team scored a goal in both halves 1
Matches in which the team lost a goal in both halves 1

Margin winners and losers

Statistics of matches that the team Dinamo Moscow won or lost with a particular goal difference.

Name 1 goal 2 goals 3 goals 4 or more goals
Won 15 7 2 1
Losers 14 7 4 0

The most common result of the match

Top results of matches in the league

Results Number Percent
1-1 5
1-0 5
0-1 4
1-2 3
0-0 3
0-2 2
2-0 2
2-1 2
3-2 2
0-3 2
4-1 1
4-0 1
2-2 1
3-0 1
3-1 1

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IMAGES

  1. Math Sheets For Year 4

    times tables homework y4

  2. KS2 Times Tables to 12 x 12. Games, Activities and Worksheets inc

    times tables homework y4

  3. 4 Times Table Answers

    times tables homework y4

  4. Times Table Worksheets Year 4

    times tables homework y4

  5. Year 4 times tables test

    times tables homework y4

  6. TIMES TABLES SWATCH

    times tables homework y4

COMMENTS

  1. Year 4, Key Stage 2

    From the 2019/2020 academic year, all children in Year 4 in English state schools (aged 8-9) will sit the new Multiplication Tables Check (MTC). The test will be taken in June each year. Children will take the times tables test on a computer or tablet. The Department for Education published their MTC framework and this site follows their ...

  2. Year 4 Multiplication Tables Check Activity Pack

    The pack includes lots of engaging games and activities to make learning times tables fun, such as a Mathopoly board game,a times table fortune teller and speed tests. Also included is a guide to aid your understanding of how to support your child so that they can meet the expectations of the National Curriculum at the end of Year 4.

  3. Y4 Multiplication Tables Check Practice Sheets Activity Pack

    The Y4 Multiplication Tables Check is a statutory multiplication test for children to take during the summer term of year 4. The check is an on-screen test, made up of 25 multiplication questions. Children answer three practice questions before beginning the actual multiplication test and have six seconds to answer each question.

  4. Year 4 Times Tables Sheets & Guides

    Times Tables Year 4 (Ages 8 - 9) A Parent Guide to Year 4 Maths. 4.9 (15 reviews) Year 4 Times Tables: A Step-by-Step Guide for Parents. Pride Flag Multiplication Mosaics (Ages 7 - 11) 5.0 (1 review) Counting Forwards and Backwards in Steps of 6, 7 and 9 (Ages 8 - 9) Times Tables: Games, Ideas and Activities for Parents.

  5. Times tables worksheets printable

    Select the times tables for the worksheet. 1 times table 2 times table 3 times table 4 times table 5 times table 6 times table 7 times table 8 times table 9 times table 10 times table 11 times table 12 times table. 0 x 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11 x 12 x. Number of questions: Answer sheet:

  6. Multiplication Tables Check

    This activity exactly mirrors the 'Multiplication Tables Check' that will be given to children at the end of Year 4. They are tested on their multiplication tables up to 12 x 12. There are twenty-five questions and children have six seconds to answer each question and three seconds between questions. The questions are generated randomly using ...

  7. Times tables funpack

    Times tables funpack. Subject: Mathematics. Age range: 7-11. Resource type: Game/puzzle/quiz. File previews. pdf, 15.53 MB. This learning pack includes worksheets, puzzles and games to help children understand times tables and have fun at the same time! Get the numbers to stick by turning times tables into engaging activities.

  8. Year 4 Times Tables Test

    These times tables test worksheets have been tailor-made to teach multiplication and division to year 4 pupils. This easy-to-use sample assessment pack contains 40 times tables practice tests that are designed to be used by year 4 children over the course of 3 consecutive terms. It can help them practice for the Year 4 times tables tests. All multiplication tables from 2 to 12 are covered and ...

  9. Year 4 Times tables worksheets

    Free worksheets: Times tables, KS2, Y4. You'll need to login or Register first to access these worksheets for free. Once you've tried out our free worksheets, why not explore all our resources (1000s of worksheets, interactive tutorials, learning packs and more) with a 14-day FREE trial subscription.

  10. The Year 4 multiplication tables check

    It is not a judgement on what your child can do. The multiplication tables check is an online test for pupils in Year 4. Pupils are asked to answer 25 questions on times tables from two to 12. They are given six seconds per question, with three seconds rest between each question, so the test should last less than five minutes.

  11. Multiplication Tables Check (MTC)

    Mapped to the Department for Education's specifications to support the statutory Multiplication Times Table Check in Year 4, our free MTC replica familiarises children with the layout and time limit of the check. As well as rewarding their effort with coins to spend in their house or garden, keeping them motivated and engaged in their learning.

  12. Year 4 times tables test

    The Year 4 multiplication tables check will test pupils ability to recall times tables up to and including the 12 times table as well as assess pupils precision and fluency. So whether you're looking for specific times tables practice worksheets or questions that encompass the 1x table up to the 12x table, we have gathered together a ...

  13. 1. Multiplication and Division (2): 11 and 12 times table worksheets (Y4)

    Multiplication and Division (2): 11 and 12 times table worksheets (Y4) These ready-to-use worksheets allow teachers to provide tasks to Year 4 children on the maths topic of 11 and 12 times table. • Solve problems involving multiplying and adding, including using the distributive law to multiply two digit numbers by one digit, integer scaling ...

  14. How to Teach Year 4 Times Tables

    Step 3: Learning the Division Facts. Once children are familiar with times tables facts, both in order and in a mixed order, they can then start to learn the associated division facts. A division fact is the opposite (the inverse) of a known multiplication. For example, if you know that 5 × 9 = 45, the division facts are: 45 ÷ 9 = 5 or 45 ÷ ...

  15. Multiplication Tables Check

    In the 2023/2024 academic year, the multiplication tables check (MTC) is statutory for primary schools. The Multiplication Times Tables Check is an online test where the pupils are asked 25 questions on times tables 2 to 12. For every question, you have 6 seconds to answer, and in between the questions, there is a 3-second rest.

  16. Multiplication table worksheets printable

    Select the times tables for the worksheet. 1 times table 2 times table 3 times table 4 times table 5 times table 6 times table 7 times table 8 times table 9 times table 10 times table 11 times table 12 times table. x 0 x 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11 x 12. Number of questions: Answer sheet: Generate.

  17. Four Times Table Worksheet

    This printable 4 times table worksheet features several activities designed to teach, test and engage your students' knowledge of the 4 x table. The worksheet includes a 'count and colour' grid, a series of mental arithmetic questions, and a counting exercise. Encourage children to complete the number grid first, counting in 4s to identify the numbers within the 4 times table up to ...

  18. Table of 4

    Table of 4. Table of 4 is provided here. It is essential for the students to memorise the table which can help them in fast maths calculation. Learning table helps students to save a lot of time, especially in the time-based examination. Students can find table of 4 up to 20 times that needs to be memorised for fast calculation and solving the ...

  19. KS2 Times Tables to 12 x 12 Multiplication Grid Free Taster (Y3 Y4 Y5

    KS2 Times Tables to 12 x 12 Multiplication Grid Free Taster (Y3 Y4 Y5 Y6) Subject: Mathematics. Age range: 7-11. Resource type: Worksheet/Activity. File previews. pdf, 3.11 MB. Free Taster of.

  20. Is Memorization Necessary, Evil, or Both?

    3. "Memorization is a generally-not-great shortcut. It's better than not knowing at all, but it's not nearly as enduring, effective, and powerful as meaningful learning.". In math, the classic example of a thing that "must" be memorized is the times tables. Amidst the din of debates about education, the one agreed-upon truth seems ...

  21. Dinamo Moscow statistics

    Welcome to Dinamo Moscow (Russia - Premier League) statistics. Below you find a lot of statistics for this team. Last and next matches, top scores, best players, under/over stats,