Adverbs

Adverbs are words that describe the verbs, adjectives or other adverbs:

Example:

He ate the cake quickly.

The word quickly is an adverb as it describes how he ate the cake.

He ran really fast.

The word really is an adverb; it describes the adverb fast.

He was actually a greedy boy.

The word actually is an adverb as it describes the adjective greedy.

Most adverbs end with -ly. Beware some of them don't.

Examples: very, fast, soon, now, more, less, never.

Underline the adverbs in the following sentences. Write down whether the adverb describes a verb, adjective or an adverb.

1. Usually, he starts doing his homework after he eats snacks.

2. He carefully counted his stickers.

3. He really likes to play football.

4. The princess gracefully walked into the ballroom.

5. He reached the destination really early.

6. The maths problem was extremely difficult.

7. He ran swiftly into his room before his brother could catch him.

8. He quickly hid under his bed.

9. He is a very mischievous boy.

10. The man drove away in his car without stopping.



Now it is your turn to make sentences with adverbs. Use the following adverbs:
1. horribly
2. terribly
3. sadly
4. happily
5. quietly
6. loudly
7. slowly
8. thoroughly
9. easily
10. always

Make ten more sentences using adverbs of your choice.

Money Calculations

Adding values ending with 9:

£4.99 + £2.75 =

Round £4.99 to £5 and then add £2.75; answer will be £7.75

As you have added 1p to £4.99 when you rounded it to £5, you have to take away 1p from £7.75. So, final answer is £7.74

£3.29 + £2.20 =

Round £3.29 to £3.30 and then add £2.20; answer will be £5.50

As you have added 1p to £3.29 when you rounded it £3.30, you have to take away 1p from £5.50. So, final answer is £5.49

Now try these problems:

1. £7.49 + £3.50 =

2. £8.69 + £4.20 =

3. £11.29 + £3.26 =

4. £56.49 + £25.20 =

5. £34.79 + £46.20 =

6. £49.25 + £26.89 =

7. £57.28 + £22.19 =

8. £28.35 + £28.39 =

Facts:

0.5 + 0.5 = 1

0.25 + 0.75 = 1

0.75 + 0.5 = 1.25

0.75 + 0.75 = £1.50

So 50p + 50p = £1

     25p + 75p = £1

     75p + 50p = £1.25

     75p + 75p = £1.50

Example: £4.50 + £3.50 =

£4.00 + £3.00 = £7.00

£0.50 + £0.50 = £1.00

So, answer is £7.00 + £1.00 = £8.00

Now try these problems:

1. £3.25 + £4.75 =

2. £9.25 + £3.75 =

3. £14.50 + £3.75 =

4. £12.50 + £2.75 =

5. £16.75 + £3.50 =

6. £18.25 + £13.50 =

7. £36.75 + £24.25 =

8. £49.50 + £29.50 =

9. £27.25 + £19.75 =

10. £39.75 + £49.75 =

Facts:

£1.00 - 50p = 50p = £0.50

£1.00 - 25p = 75p = £0.75

£1.00 - 75p = 25p = £0.25

Example:

£8.00 - £0.25

Split £8 into £7 and £1

Take away 25p from £1 which will be 75p

Now you have £7 and 75p

So, answer is £7.75

Example: £15 - £3.25

Step 1: Split £3.25 into £3 and 25p

Step 2: £15 - £3 = £12

Step 3: £12 - 25p = £11.75

Now try these problems

1. £15 - 50p =

2. £35 - 75p =

3. £45 - £1.25 =

4. £27 - £2.50 =

5.  £19 - £3.75 =

6. £35 - £2.50 =

7. £46 - £3.50 =

8. £65 - £5.50 =

9. £40 - £5.25 =

10. £20 - £4.75 =

Money problems

How to calculate change quickly?

Sam buys 3 lollipops at 39 each. What change does he get if he pays with a £2 coin?

working out

39p x 3 = 87p

Count onwards from 87p to £2 that is 200p

87p + 3p = 90p

90p + 10 = 100p

100p + 100p = 200p

In total, we have added 3p + 10p + 100p = 113p = £1.13

Now try these questions:

1.Sam buys a sandwich for £2.53 and drink for 37p. What change will he get if he pays with a £5 note?

2. Anna buys a book for £4.59 and a pen for £2.19. What change will he get if she pays with £10?

3. Sam buys a video game for £13.99 and a ball for £5.24. What change will he get if he pays with £20?

4. Sam buys a cup cake for £3.25 and ice cream for £2.25. What change will he get if he pays with £10?

5. Anna buys a bag for £11.75 and a teddy for £3.50. What change will she get if he pays with £20?

Multiplication

Mental Multiplication:
Example:  83 x 30

Step 1: 83 x 3 = 249, so 83 x 3 = 2490

Now try these:

1.  49 x 50

2. 152 x 30

3. 462 x 40

4. 562 x 30

5. 98 x 20

Example: 34 x 12

Step 1: keep 34 as it is and partition 12 into 10 and 2.

Step 2: 34 x 10 = 340

            34 x 2    =  68

Step 3:  Add 340 and 68. Answer is 408

Now try these:

1. 78 x 13

2. 35 x 14

3. 48 x 16

4. 94 x 14

5. 84 x 22

6. 49 x 23

7. 76 x 31

8. 71 x 19

9. 72 x 22

10. 63 x 12

Example:

156 x 3

Step 1. Partition 156 into 100, 50 and 6

Step 2. Multiply: 100 x 3 = 300

                              50 x 3 = 150

                                6 x 3 =    18

Step 3: Add them: 300 + 150 + 18 = 468

Now try these:

1. 461 x 7           6. 234 x 5

2. 528 x 4           7. 456 x 3

3. 432 x 6           8. 782 x 2

4. 327 x 8

5. 148 x 9

             

Multiplying and Dividing Whole Numbers and Decimals by 10, 100 and 1000

1.  32 ÷ 10 =

2.  345 ÷ 100 =

3. 18 ÷ 10 =

4. 3.5 x 100 =

5. 42.6 ÷ 10 =

6. 378 ÷ 1000 =

7. 4.05 x 10 =

8. 3.56 x 10 =

9. 12 ÷ 100 =

10. 135 ÷ 1000 =

11. 3.256 x 10 =

12. 4.278 x 100 =

13. 5.45 x 1000 =

14. 5.023 x 1000 =

15. 4.52 x 1000 =

16. 4.52 x 100 =

17. 3 ÷ 1000 =

18. 30 ÷ 1000 =

19. 150 ÷ 1000 =

20. 29 ÷ 100 =

21. 204 ÷ 100 =

22. 204 ÷ 1000 =

23. 785 ÷ 10 =

24. 785 ÷ 100 =

25. 785 ÷ 1000 =

Now answer the following questions:

1. 3.5 km = ----------- m

2. 4.75 km = ----------- m

3. 6.25 kg = ---------- g

4. 7.5 kg = ------------ g

5. 8.4 kg = ----------- g

6. 9.04 L = ----------- ml

7. 3.3 L = ----------- ml

8. 3.25 L =  --------- ml

9. 8.1 kg = ---------- g

10. 4.9 kg =--------- g

nth term formula

Find the nth term formula, 50th term and 100th term for the following sequences:

1.  3, 7, 11, 15.....

2.  -1, 4, 9, 14, 19....

3. 6, 9, 12,15..........

4. 7, 12, 17, 22..........

5. 8, 11, 14, 17.........

6. 11, 17, 23, 29..........

7. 13, 15, 17, 19, 21..........

8. 3, 8, 13, 18..........

9. 4, 13, 22, 31.........

10. 6, 10, 14, 18.........

Algebra - Word problems

1. If length of one side of a square is 4x, what is its perimeter and area?

2. If length of one side of a square is 5x + 3, what is its perimeter?

3. If length of a rectangle is 3x + 8 and its breadth is 5x + 7, find its perimeter?

4. If one side of an equilateral triangle is 3x + 1, what is the total distance around the triangle?

5. If one side of a regular octagon is 7x + 2, what is its perimeter?

6. If length of a rectangle is 7x + 4 and its breadth is 3x + 6, find its perimeter?

  If perimeter of the rectangle is 100, find x.