Expertly-chosen and Created Materials for 11+ with the GL Exam Board – Week 8.

Welcome to week 8. For newcomers, this blog is free for all users, all the clips, questions, and advice have been carefully chosen by me, a highly experienced 11+ tutor. This is not only suitable for children in Buckinghamshire, but for children in any area that uses the GL exam board.

Maths

Multiplying fractions

Mixed Fraction Photo

When we need to find a fraction OF a number, we multiply it to get the answer.

That may seem odd, but if we multiply a number by a fraction the number will always get smaller. That is because you are not multiplying by whole numbers, but by less than 1, so of course it will get smaller.

  • First, simplify each fraction, if possible
  • Second, multiply the top fractions (remember the top number on the top is called the numerator)
  • Third, multiply the bottom fractions (the fraction on the bottom is called the denominator)
  • Fourth, simplify the answer, if possible.

To find a fraction of a whole number or a fraction of a fraction, we multiply the fractions as in the video below.

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http://www.bbc.co.uk/guides/z8fyv4j#z33bg82

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Tip: This isn’t explained in the video below, but you need to know it when answering the questions at the end of the video; when multiplying mixed numbers, make the mixed number into an improper fraction.

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https://www.khanacademy.org/math/arithmetic/fraction-arithmetic/arith-review-multiply-fractions/v/multiplying-a-fraction-by-a-fraction

Remember: ten a day, so practise a different section every day:

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https://uk.ixl.com/math/year-5/multiply-unit-fractions-by-whole-numbers-using-number-lines

https://uk.ixl.com/math/year-5/multiply-unit-fractions-by-whole-numbers-using-models

https://uk.ixl.com/math/year-5/multiples-of-fractions

https://uk.ixl.com/math/year-5/multiply-unit-fractions-and-whole-numbers-sorting

https://uk.ixl.com/math/year-5/multiply-unit-fractions-by-whole-numbers-word-problems

https://uk.ixl.com/math/year-5/multiply-fractions-by-whole-numbers-using-number-lines

https://uk.ixl.com/math/year-5/multiply-fractions-by-whole-numbers-using-models

https://uk.ixl.com/math/year-5/multiply-fractions-by-whole-numbers-word-problems

https://uk.ixl.com/math/year-5/multiply-fractions-by-whole-numbers-ii

https://uk.ixl.com/math/year-5/multiply-fractions-by-whole-numbers-word-problems

Verbal Reasoning:

Use a Rule to Make a Word

Practice Problem

Example 2

Here are some for you to do:

(I’ve put the numbers in the first one for you….)

  1. frog (long) lend ware (- – – -) tied
  2. home (east ) cast nest (- – – -) woes
  3. meal (meat) fast when (- – – -) drat
  4. miss ( mown) down that (- – – -) core
  5. busy (yell) fell went (- – – -) make
  6. lock (peck ) dupe whir (- – – -) lost

Sometimes a letter could have come from two places. This is where it gets complicated and you need a system.

Example 3

There are two places the E could have come from. The E’s do not have to remain in the same position, so E could have come from position 2 word 1, or position 3 word 2.

But you look for the word and see: wart. That is your answer.

More practice: (I have put the first set of numbers in for you.)

  1. mist (dust) used true ( – – – -) lamb

– – 34 23-1 – – – – – – – –

The letters in position 3 could have come from two places.

So we h ave to reflect that in the second set.

But only one combination makes a word: – – – –

  1. slug (shut) huts sham (- – – – ) calm
  1. bred (bead) lean lord ( – – – – ) pant

10) bear (near) nice like ( – – – – ) hole

11) shrew (white) hints sharp (- – – – -) apres

Answers to Use a Rule to Make a Word

Vocabulary

This week, the vocabulary work is a bit different. We are focusing on compound words. These are words that have been used together so often that they became one word, with an identity all of its own, a sort of baby word – isn’t that sweet?

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Next week – Non-Verbal Reasoning, Verbal Reasoning, Vocab

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