Fractions - Basic Word Problems

1. Five children wanted to share 1 chocolate bar among themselves. Each child wanted 3 pieces.

a. How many pieces should they divide the chocolate bar into?

b. What fraction of chocolate bar would 1 child get? Draw the picture the show that.

c. Reduce the fraction to lowest terms.

2. Three friends wanted to share 1 pizza and everyone wanted 2 pieces each.

a. How many pieces should they divide the pizza into?

b. What fraction of pizza would 1 person get? Draw the picture to show that.

c. Reduce the fraction to lowest terms.

3. Eight friends wanted to share a pizza and everyone wanted 1 piece each.

a. How many pieces should they divide the pizza into?

b. What fraction of the pizza would 1 person get? Draw the picture to show that.

4. A pizza was divided into 10 pieces. Ann got 5 pieces, Sam got 2 pieces and Andrew got 3 pieces.

 

a. Draw a picture to show how many pieces each children got.

b. What fraction did Ann get, Sam get and Andrew get?

c. Reduce the fraction to lowest terms where possible.

5. A chocolate bar was divided into 12 pieces. Sam got 6 pieces, Ann got 4 pieces and Andrew got 2 pieces.

a. Draw a picture to show how many pieces each got.

b. What fraction did Sam get, Ann get and Andrew get?

c. Reduce the fraction to lowest terms where possible.

6. A pizza was divided into 8 pieces. Sam ate 3 pieces and Ann ate 2 pieces.

Draw picture to help you answer the following questions

a. What fraction of the pizza did Sam eat?

b. What fraction of the pizza did Ann eat?

c. What fraction of the pizza did they both eat together?

d. What fraction of the pizza was left over?

7. A chocolate was divided into 10 pieces. Ann ate 3 pieces and Sam ate 2 pieces.

Draw picture to help you answer the following questions.

a. What fraction of the chocolate did Ann eat?

b. What fraction of the chocolate did Sam eat?

c. What fraction of the chocolate did they both eat together?

d. What fraction of the chocolate was left over?

Apostrophes

1. Coat that belongs to Mike - Mike's coat
2. Bags that belong to two boys - the boys' bags
3. Water that belongs to the Earth -
4. Money that belongs to the banks -
5. A houses that belongs to the families -
6. The car that belongs to the son -
7. A vacuum that belongs to the old lady -
8. The trees which belong to the school -
9. The crown that belongs to no one -
10. Fruit that belongs to the trees -
11. Poison that belongs to the snakes -
12. A web that belongs to a spider -
13. A website which belongs to the founder -
14. The toys which belong to the dogs -
15. The fan which belongs to the person -
16. The chairs which belong to the orchestra -
17. The mice which belong to Chris -
18. The computers which belongs to the workers -
19. The duvet which belongs to Martin -
20. The paint which belongs to the painters -
21. A calculator which belongs to the scholar -
22. Paper which belongs to the scribes -
23. Equipment which belongs to the chefs -
24. Pillows which belong to the ladies -
25. The mattress which belongs to the bed -

Maths Quick Fire Questions Day 4

Time 10 minutes:

1.What is half of 300 plus quarter of 80?

2. What is three quarters of 80?

3. How much is 380 more than 320?

4. How much more is 200 than 156?

5. How much more is 295 than 242?

6. How much less is 124 than 200?

7. How much is three quarters of 80 more than 20?

8. You have a pound coin. You buy a pencil for 16p and an eraser for 12p. How much do you have left?

9. You had £24. You have spent half of the money. How do you have left?

10. 231 ÷ 7 =

11. 15 x 11 =

12. 123 x 9 =

13. 345 x 8 =

14. You have 36 stickers. You can stick 4 stickers in one page of an album. How many pages do you need to stick all the stickers?

15. What is quarter of 260?

Synonyms Week 1 Day 4

Find as many as synonyms as you can for the following words:

tall                   enough           cut
short                many              smile
wide                lazy                 stare
narrow            grow                get
divide              listen               allow
                       

Maths Quick Fire Questions Day 3

Time: 10 minutes

1. 3 pens cost £2.70. What is the cost of 1 pen?

2. Andy walks 800m daily. What distance does he walk in 5 days?Give your answer in km.

3. A juice carton holds 3 litres. How many 300 ml cups can be filled from this carton?

4. A bag of potatoes weighs 2.5 kg. 750 g has been used. What is the mass of the potatoes left in the bag?

5. Banana 15p   Apple 45p

    Orange 30p   Lemon  7p

a. How much more does an orange cost than a banana?

b. How much more does an apple cost than an orange?

c. You buy an apple and an orange and pay with £1 coin. How much change you will get?

d. What cost more  - an apple and an orange together or an orange and a banana?

 6. A show starts at 6:30 pm and is 1hour and 20 minutes long. What time will it end?

7. What is quarter of 364?

8. What is a third of 507?

9. What is a fifth of 290?

10. 39 ÷ 10 =

11. 403 ÷ 100 =

12. 3.21 x 10 =

13. One fifth of a kilogram is equal to how many grams?

14. Three fifths of a kilogram is equal to how many grams?

15. You have £3 and you spent £2.37. How much do you have left?

Give your answer in pounds.

 

Synonyms Week 1 Day 3

Find as many synonyms as you can for the following words:

sell            strong         push

soft           weak           see

rough        full              young

bold          empty         praise

thin           pull             cowardly

Maths Quick Fire Questions Day 2

Time: 10 minutes

1. 4.5 kg = --------- g

2. 5.25 kg = -------- g

3. 120 cm = ----------m

4. 5.36 m = --------- cm

5. 4750 m = --------- km

6. 3/4 + 1/8 =

7. 3/4 = ?/16

8. 4/20 = 1/?

9. How many tenths are there in 3/5?

10. How many quarters are equal to 4/16?

11. How many halves are there in 3 1/2?

12. What time was 20 minutes before 9:00 pm?

13. What time is 10 minutes after 3.55 am?

14. How many more is 356 than 350?

15. How many less is 25 than 100?

16. 24 x 10 = ---------

17. 2.15 x 10 = --------

18. 3.5 x ----- = 350

19. ------ x 100 = 125

20. 345 ÷ 10 = ---------

Synonyms Week 1 Day 2

Find as many synonyms as you can for the following words:

like              new           teacher

hate             near           increase

friend          far             decrease

enemy         shout         climb

old              whisper      fall

Maths Quick Fire Questions Day 1

Time: 5 min

1. Which is bigger? 345 or 543

2. How many days are in a week? How many days in 10 weeks?

3. How many hours are there in a day? How many hours are there in half day?

4. How many minutes are there in an hour? How many minutes are there in a quarter of an hour?

5. How many 10p are there in £2.60?

6.. How many 10p are there in £3.40?

7. Add 345 and 456.

8. Subtract 256 from 1000.

9. 12 x 100 =

10. 345 ÷ 3 =

11. 1/2 kg = --------- g

12. Which is bigger? 3/5 0r 2/5

13. Which is smaller? 1/10 or 1/5

14. 3/4 + 1/4 =

15.  1 - 1/4 =

Synonyms Week 1 Day 1

Synonyms are words which have similar meanings.

Find as many synonyms as you can for the following words:

walk       say        kind

run          ask        rude

big          slow      happy

small       fast       sad

good        bad       buy

 

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.

Algebra

Expand:

1. 3(4x + 3y)
2. 5(3x + 8y)
3. 9(2x - 6y)
4. 5(3x - y)
5. 6(5x + 3y)
6. 7(2x + 1)
7. 3(5x - 2)
8. 5(3x + 4)
9. 8x(7x + 3y)
10. 5x(3x + 7)

Find y,

1. if  3x = 5y/2                  6. if 8x = (3y - 7)/7
2. if  x = 9y/2                    7. if 5y = (2x - 4)/5
3. if 5x = 3y/4                   8. if 4y = (3x - 2)/5
4. if 7x = (3y + 2)/4          9. if 2y = (5x - 8)/3
5. if x = (5x - 3)/7           10. if 6y = (7x - 3)/4

Find x:

1. 7x - 3 = x - 9
2. 9x - 4 = 2x + 10
3. 4x - 3 = 12 - x
4. 7x - 8 = 19 - 2x
5. 5x + 12 = 6x - 3
6. 8x + 3 = 5x - 12
7. 9x + 4 = 8x - 3
8. 12x + 4 = 19 - 3x
9. x  - 5 = 3x - 7
10. 3x - 7 = 3 - 2x

1. If 3x = 4y/5, y =
2. If 2x = 8y/3, y =
3. If 4x = 9y/5, y =
4. If 6x = 7y/2, y =
5. If 3x = 8y/5, y =

Find y
1. if 3x + 4y = 8
2. if 4x + 7y = 3
3. if 5x + 3y = 7
4. if 2x - 8y = 3
5. if 9x - 3y = 4

              

More - Fractions Worksheet

Which fraction in the following pairs is bigger?

1.   3/8  or  4/5         6.  2/9  or   1/5

2.  4/5 or 2/3            7.  4/5  or  1/3

3. 3/10 or 2/3           8.  3/7  or   4/5

4. 1/5 or  2/5            9.  1/8  or  2/3

5. 3/4 or 1/4            10. 7/10 or  3/5

Answer the following questions:

1.   3/5 + 2/5 =          6.  1 - 4/5  =

2.   1/2 + 1/4 =          7.   2/3 - 1/5 =

3.   2/3 + 1/3 =          8.  4/5 - 2/3 =

4.  1/8 +  1/4 =          9. 2/8 + 3/16 =

5.  6/7 - 3/7 =           10. 3/5 - 3/15 =

Answer the following questions:

1.  7/8 - 3/16 =         6. 3/4 + 1/3 =

2.  9/16 - 3/8 =         7. 3/4 + 1/8 =

3.  4/5 + 2/10 =        8. 3/4 - 1/8 =
4.  6/15 - 1/5  =        9. 3/4 - 2/5 =
5.  5/8 + 1/4 =         10. 3/4 - 1/5 =

Answer the following questions:

1. Find 4/5 of 210.
2. Find 2/3  of 45.
3. Find 5/6 of 36.
4. Find 3/7 of 490.
5. Find 3/10 of 800.
6. Find 7/8 of 64.
7. Find 3/5 of 120.
8. Find 5/8 of 240.
9. Find 4/7 of 35.
10. Find 2/7 of 28.

Word problems:

1. Anna had 25 stickers. She gave 2/5 of her stickers to her friend. How many stickers did she give her friend? How many stickers did she have left?

2. There were 36 strawberries in a basket. 1/6 of them were used to make strawberry milkshake. How many strawberries were used? How many strawberries were left?

3. There were 72 marbles in a bag. 2/9 of the marbles were blue. Rest were green. How many blue marbles were there in the bag and how many green marbles were there?

4. There were 63 cars parked in a parking lot. 2/7 were parked in the first level and the rest were parked in the second level. How many cars were parked in the first level? How many cars were parked in the second level?

5. A jar has 108 jelly beans. 2/3 were green in colour. Rest were red in colour. How many red jelly beans were in the jar. How many green jelly beans were there in the jar?

Finding original amount

1. 30% of Anna's pocket money is £24. What is her pocket money?

2. Anna spent 25% of her pocket money a book. The price of the book was £8. How much was Anna's pocket money?

3. Anna receives pocket money every week. She saved 3/5 of her pocket money every week. If she saves £18.00 in 4 weeks, how much did Anna receive as pocket money each week?

4. A hat is on 20% off sale. If the hat costs £5.76 after sale, what was its original price?

5. The following items were on a third off sale. The after sale prices have been given in the following table. Find the original price.

Shirt     £16.50

Skirt     £26.40

Shoes    £46.80

Socks    £5.20

Tie        £15.10

6. If a bicycle costs £123 after 25% off sale, what was its original price?

7. If the video game console costs £360 after 10% discount, what was its original price?

8. Town A's population has decreased by 10% in the past 10 years. If the population now is 3789, what was the population 10 years ago?

9. Tickets to the play are a third off. If the tickets cost £13.20 after discount, what was the original price?

10. If flight tickets to Paris after 30% discount cost £165, what was its original price?

11. Zow and jow are the currencies of Country Z and country J. The value of 1 zow is equal to 80% of 1 jow. Using this information, answer the following questions.

 How many jows are 12 zows equal to?

How many zows are 10 jows equal to?

How many jows are 100 zows equal to?

How many zows are 30 jows equal to?