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# 11+ Buckinghamshire course in Maths, Verbal Reasoning, and Non-Verbal Reasoning - Week 4

Welcome to Week 4 of my blog aimed at the 11+ in Buckinghamshire. This week, we look at Missing Letters - a type of Verbal Reasoning - and I give you access to exclusive Missing Letters material. We will also look at Number Lines in Maths. I have checked all clips so that you know they are right for the 11+.

## Maths

Number Lines

Number lines can go up or down by whole numbers like the one pictured above.

Here's a clip.

http://www.bbc.co.uk/education/clips/z9vgkqt

If you struggle to understand negative numbers, think about the way numbers work on a thermometer, and how the temperature can go from zero to -1, -2 etc.

Practise 10 questions on IXL.

Remember, one section, ten questions, each day

https://uk.ixl.com/math/year-5/count-on-a-number-line-up-to-10-in-both-directions

Let's pop over to the interactive number line on the Maths is Fun website. You need to go to the webpage for it to work. Do questions 1-8.

https://www.mathsisfun.com/number-line.html

https://uk.ixl.com/math/year-5/count-on-a-number-line-up-to-100-in-both-directions

Number Lines and Decimals

Number lines can deal in smaller units than whole numbers; number lines can go in-between 1 and 2; think of the millimetres in-between each centimetre on a ruler.

Click on the Zoomable Numberline, shift-click to zoom out. Click at left or right to scroll.

https://www.mathsisfun.com/numbers/number-line-zoom.html

More videos and practice on number lines.

The screen shot below is the first of seven video tutorials. Do all sections in the left hand column. When the first section finishes it will go back to the home page, so scroll down to the next session, and the next until you have done all 7.

So to recap, a number line can go from one whole number to another, or in-between whole numbers.

Practice on IXL

https://uk.ixl.com/math/year-6/decimal-number-lines

Now some games, only one is pictured but play all four.

http://www.free-training-tutorial.com/negative-numbers-games.html

Still haven't learnt your times tables properly?

http://www.free-training-tutorial.com/times-tables-games.html

Prime numbers only have 2 factors, 1 and itself. Primes only come up in the 1 times table. Learn these primes for next week: 2, 3, 5, 7, 11

## Verbal Reasoning

Find the Missing Letter that ends one word and starts the second word of each pair. One letter must work for both pairs.

Example:

min (?) ag sea (?) hem Missing Letter is t

min (t) ag sea (t) hem

to (?) es ke (?) acht

win (?) oe fin (?) eer

ma (?) art lim (?) each

clas (?) eat bu (?) and

hom (?) ast wak (?) arly

was (?) ere wes (?) orn

cloc (?) ey win (?) ind

bes (?) hem nes (?) ime

lam (?) ink si (?) ouch

lim (?) ow com (?) ring

mic (?) nd us (?) gg

fil (?) ice wil (?) end

TIP: If you get a bit stuck, go through the alphabet, IN ORDER, and try each letter on the first word, then the second, then the third, then the fourth. If it works for all four, you've got the answer! (If you still don't know your alphabet all the way through, look at the graphic in week 1 and learn it.)

Remember that spellings can have different pronunciations.

eg: ow as in glow, and ow as in bow

eg: ea as in breathe, and ea as in breath

Remember c becomes an s sound when combined with e, for example mice, twice

a letter can be doubled, for example, fill.

Still not got the answer? Perhaps you don't know one of the words - take a chance. Mark it with a ? and come back to it when you have finished the others.

This week's Ten(ish) words

demolish: to completely destroy, synonyms: destroy, flatten, level, raze; antonyms: construct, build, raise

endeavour (noun): a serious attempt to do something: synonyms: effort, enterprise, venture, struggle; antonyms: passivity, laziness

endeavour (verb): to try to do something: people endeavour to get to Mars: synonyms: strive, aspire; antonyms: abandon, dismiss, neglect

endure 1: to exist for a long time, as in 'this tradition had endured for generations': synonyms: linger, persist; antonyms: cease, halt, quit@

endure 2: to experience pain or suffering for a long time, as in 'he endured the toothache for days'; synonyms: tolerate, bear; antonyms: surrender, yield, disallow

trivial: something unimportant or silly; Some games are trivial; synonyms: unimportant, silly, minor; antonyms: important, profound

apprehensive: feeling anxious as in 'I was apprehensive about eating the sprouts,' synonyms: anxious, uneasy, concerned; antonyms: certain, calm, bold, confident.

thriving: healthy, strong, as in 'the beanpole was thriving': synonyms: growing, strengthening, flourishing; antonyms: weakening, dying

ascend: to go up, as in 'the mountaineers ascended to the summit': synonyms: mount, elevate, climb, antonyms: descend

decline 1: to go down, as in 'the number of sparrows has declined': descend, drop, fall, lower, decrease

decline 2: to say 'no' to as in, 'I declined to comment': synonyms: refuse, rebuff, reject, refrain, spurn: antonyms: accept, welcome.

Doodle a picture for each set of words

1. Find the LCM of 8 and 7.
List the multiples of 8: 8, 16, 24, 32, 40, 48, 56.

List the multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56
List the common multiples. 56  What is the LCM?  56
2. Find the LCM of 15 and 20.
List the multiples of 15. 15, 30, 45, 60, 75, 90, 105, 120

List the multiples of 20: 20, 40, 60, 80, 100, 120
List the common multiples.  60, 120                       What is the LCM? 60.

3. Find the LCM of 21 and 35.
List the multiples of 21. 21, 42, 63, 84, 105

List the multiples of 35. 35, 70, 105

List the common multiples. 105  What is the LCM? 105

4. Find the LCM of 6 and 18.
List the multiples of 6:  6, 12, 18 24, 30             List the multiples of 8:  8, 16, 24, 32, 40
List the common multiples. 24 What is the LCM?   24

5. List the LCM of 10 and 11

List the multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110

List the multiples of 11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110
List the common multiples. 110 What is the LCM? 110

6. List the LCM of 2 and 12

List the multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24

List the multiples of 12: 12, 24, 36, 48
List the common multiples. 12, 24   What is the LCM? 12

7. List the LCM of 3 and 9

List the multiples of 3: 3, 6, 9 List the multiples of 9: 9, 18

List the common multiples, 9, 18.  What is the LCM? 9

8. List the LCM of 7 and 5

List the multiples of 7: 7, 14, 21, 28, 35. List the multiples of 5: 5, 10, 15, 20, 25, 35.
List the common multiples. 35 What is the LCM?35

1. Find the GCF of 8 and 12. List the factors of 8. 1, 2, 4, and 8 List the factors of 12. 1, 2, 3, 4, 6, and 12 List the common factors. 1, 2, and 4 What is the GCF? 4

2. Find the GCF of 15 and 20. List the factors of 15. 1, 3, 5, and 15 List the factors of 20. 1, 2, 4, 5, and 20 List the common factors. 1 and 5 What is the GCF? 5

3. Find the GCF of 21 and 35. List the factors of 21. 1, 3, 7, and 21 List the factors of 35. 1, 5, 7, and 35 List the common factors. 1 and 7 What is the GCF? 7

4. Find the GCF of 6 and 18. List the factors of 6. 1, 2, 3, and 6 List the factors of 18. 1, 2, 3, 6, 9, 18 List the common factors. 1, 2, 3, and 6 What is the GCF? 6

5 Find the GCF of 6 and 3.
List the factors of 6: 6, 3, 2.   List the factors of 3. 3

List the common factors. 3 What is the GCF? 3

6. Find the GCF of 14 and 21.
List the factors of 14.  14, 2, 7. List the factors of 21.  7. 3, 21
List the common factors: 14, 7, 2.  What is the GCF? 7

7. Find the GCF of 64 and 18.
List the factors of 64: 64, 32, 18, 9, 6, 3, 2.    List the factors of 18: 18, 9, 2, 6, 3.
List the common factors. 2, 3, 6, 18. What is the GCF? 18.

8. Find the GCF of 9 and 45.
List the factors of 9. 9, 3. List the factors of 45. 9, 5, 3.

List the common factors: 3, 9.    What is the GCF? 9.

NEXT WEEK

Verbal Reasoning: Hidden Word

Maths: Factors and Multiples