# 11+ Buckinghamshire Free Interactive Maths, Verbal Reasoning, Week 2

**Welcome to week 2 of my ****free interactive 11+ Bucks course****!** You may be a child reading this on your own, or with a parent, a nanny,
or a granddad, whoever – this is for you.

A lot of year 5 children are doing extra work to prepare for the 11+ exam, and if you are in year 5 you need to start too, and now. You need to study Maths, Verbal Reasoning and non Verbal Reasoning, every week, so this blog will be updated every week, just as if you were attending tuition. I am a professional 11+ tutor but I am sharing my weekly notes, tips, and free clips to other people’s videos and practice questions, all for free, nada, gratis. Here we go…

This blog will look much better if you open it in Chrome.

## 11+ Maths

**Rounding**. Why learn to round numbers? Because there is likely to be a question
on this in the 11+ exam to get into the Buckinghamshire grammar schools.
Plus rounding is useful for speeding maths up. Speed is essential for
the 11+, which is all timed. Here’s a clip to explain further:

You may need to open the link in a new window. It it still doesn’t work, cut and paste link in your web browser) http://www.bbc.co.uk/guides/z874h39

**Rounding for the 11+** When you know your columns, (see week 1 of this blog,) you are ready to
understand rounding. There are some rounding games when you have done
your rounding work.

The number mentioned in the question – we will call it Big Bob – can be in the Hundreds, Tens, Units, or Tenths column.

Now look at that number ONE PLACE TO THE RIGHT of Big Bob, and see if it is 5 or over. If it is, Big Bob goes up by 1 number.

Or, if it is 4 or less, we leave Big Bob as he is.

Either way all the numbers after Big Bob change to a nice round 0.

Here’s another clip

http://www.bbc.co.uk/guides/zpx2qty

The clip below explains further and it contains a rhyme to help you to remember whether to round it up or down:

Round to the nearest whole numbers Practice (right)

https://www.khanacademy.org/math/pre-algebra/pre-algebra-arith-prop/pre-algebra-rounding-whole-numbers/e/rounding_whole_numbers

**Rounding whole numbers** Year 5 (You get 10 questions free every day, so practice a different section
every day.)

https://uk.ixl.com/math/year-5/rounding

####
Rounding GAMES

Round whole numbers to the nearest 10 Practice Game

http://www.free-training-tutorial.com/rounding/rounding-spaceships.html

#### Round whole number to nearest 100 GAME for practice

http://www.free-training-tutorial.com/rounding/sharks.html

#### Round to nearest 1000 GAME

http://www.free-training-tutorial.com/rounding/towncreator/tc-rounding.html

#### Practice rounding all columns: GAME

http://www.free-training-tutoria l.com/rounding/sealife/sl-rounding.html

**Rounding Whole Number: More practice** (the explanations in the link below starts with hundred then goes to thousands
then to tens, but it’s still worth a look.)

### Rounding Decimals for the 11+

This is the same as rounding whole numbers, but you do it in the decimal columns. (There are some rounding decimal games when you have finished the work.)

https://www.youtube.com/watch?v=_ARhxT5WyWc

**Rounding up from 9 is tricky.**

Did you notice in the clip above (after one-and-a-half-minutes) with the example 1.962, the 9 rounded up to a 10? This is important to remember. You can’t fit 10/two digits in one column, so only the 0 can remain and the 1 needs to be carried over the next biggest column, so 1 becomes 2.

Tips:

‘Round to the nearest whole number’ means round to the units column. So 103.8 becomes 103

‘Round to one decimal point’ means round to the tenths column. So 103.88 becomes 103.9

Round to the nearest tenth (a clip)

https://www.youtube.com/watch?v=_MIn3zFkEcc

**Use Rounding for a question like: Which is smallest? You don’t need
to work them out exactly, which saves a lot of time.**

22 x 8 20 x 10 = 200

0.547 x 80 0.5 x 500 = 250

257 x 0.8 300 x 1 = 300

2470 x 9 2470 x 10 = 24700

Much easier, and the answer is still obvious.

However, if you had two round the same, you do have to work those two out exactly, but that is still quicker than working them all out exactly.

22 x 8 becomes 22 x 10 = 200

247 x 0.8 becomes 22×10 =200

So you need to work those out exactly to find the smallest. ( 247 x 0.8 = 176, and 247 x 0.8 = 197.6)

https://www.khanacademy.org/math/arithmetic/arith-decimals/arith-review-rounding-decimals/e/ rounding_numbers

Remember: All numbers AFTER the number in the column you are rounding to are ‘rounded,’ that is turned into a nice round 0. How to round numbers: this video below is helpful. It begins with the basics, then levels up. You may need to watch it more than once.

https://www.youtube.com/watch?v=fd-E18EqSVk

More practice and an overview of rounding

https://www.mathsisfun.com/rounding-numbers.html

Practise on IXL: Remember If you get an answer incorrect, scroll down the page on IXL for tips about how to do better next time. Mistakes are a great learning opportunity: do not waste this.

https://uk.ixl.com/math/year-5/round-decimals

If you found this easy, or you want an extra challenge to on to Rounding decimals Year 6

If you found this easy, or if you want a challenge, go on to rounding numbers Year 6

https://uk.ixl.com/math/year-6/rounding

https://uk.ixl.com/math/year-6/round-decimals

If you still need to practise your times tables – you need to know them off by heart – here’s some more games:

### Verbal Reasoning for the 11+ in Bucks

**Alphabetical order, as in the dictionary**

Let’s get into the mood by playing a game practicing putting the alphabet in order

https://learnenglishkids.britishcouncil.org/en/games/abc-countdown

### Lesson notes:

The first letter is most significant. (see line one below)

If first letter is the same, then the second letter is the most important (line 2 below)

If the first two letters are the same, the third letter is the most important, and so on…. (line 3 and 4 below)

Look at the words below. The words in blue are not in alphabetical order; the arrow points to the most significant letter.

Can you put them into alphabetical 0rder?

If not, here’s a clip to remind you (ks1 level)

http://www.bbc.co.uk/guides/zcyfsg8

Too easy? Try the clip below.

Hard level

http://www.bbc.co.uk/bitesize/ks2/english/reading/dictionaries/play/

More practice – start at ‘medium,’ do ‘hard’ and go on to ‘really hard’

http://www.bbc.co.uk/bitesize/ks1/literacy/alphabetical_order/play/

Here is some further practice: Put these words into alphabetical order.

1.

- Additive
- acronym
- aerosol
- aardvark
- abacus

2.

- Strange
- Swarm
- Settle
- Sworn
- Shoot

3.

- Regenerate
- Revolve
- Remember
- Recluse
- Revive

But beware, the words might require you to go to the second letter of the first word, then the third letter of the second word, then back to the frist letter of the third word…. let me give you an example…

4.

- Divine
- Darling
- Virtuous

See what I mean? (Answers at the very end of this blog)

Practice on IXL (You only get 10 questions a day free so do a different IXL exercise each day. Don’t worry if you can’t fit them all in on one week. You can continue another week.)

https://uk.ixl.com/ela/year-5/order-alphabetically-based-on-the-first-letter

https://uk.ixl.com/ela/year-5/order-alphabetically-based-on-the-first-two-letters

https://uk.ixl.com/ela/year-5/order-alphabetically-based-on-the-first-three-letters

https://uk.ixl.com/ela/year-5/order-alphabetically-challenge

Do the same on year 6

https://uk.ixl.com/ela/year-6/order-alphabetically-based-on-the-first-three-letters

https://uk.ixl.com/ela/year-6/order-alphabetically-challenge

Mega challenge:

https://uk.ixl.com/ela/year-7/alphabetical-order

### This week’s Ten(ish) words

amble (to walk casually) Synonyms: stroll, saunter, dawdle, meander, mosey, ramble, sashay, drift, toddle, wander, gander. Antonyms: jog, trot, sprint, dash, canter.

Draw some doodles of stick figures walking slowly. How are you going to make it clear they are ambling rather than jogging?

Now draw some stick figures sprinting/dashing/jogging.