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Tuesday, 16 December 2014

Negative Integers

1. Which is bigger?  
a) -3 or -10
b) 3 or -3
c) -2 or -4
d) -10 or 15
e) -6 or -9

2. The following table shows the temperature in London in a given week:

Monday            -3°C
Tuesday            -5°C
Wdenesday        -2°C
Thursday            1°C
Friday                -7°C
Saturday             4°C
Sunday                2°C

a) On which day is the temperature the lowest?

b) On which day is the temperature the highest?

c) If you arrange the temperatures from the lowest to the highest, which day will be in the middle?

Note:
Answer for the following questions(d to h) should be given as 'increased or decreased by ___°C'.

d) What is the temperature difference between Monday and Friday??

e) What is the temperature difference between Wednesday and Friday?

f) What is the temperature difference between Tuesday and Friday?

g) What is the temperature difference between Tuesday and Sunday?

h) What is the temperature difference between Wednesday and Sunday?

3. The following table shows the temperature in different cities on a given day:

London               1°C
New York          -2°C
Stockholm          -6°C
Toronto              -8°C
Sydney               22°C
Los Angeles        13°C
Rio de Janeiro     25°C

a) What is the difference in temperature between Los Angeles and Toronto?

b) What is the difference in temperature between Stockholm and London?

c) What is the difference in temperature between Los Angeles and Stockholm?

d) Which city has the lowest temperature?

e) What is the difference in temperature between Toronto and Sydney?

f) What is the difference in temperature between Rio de Janeiro and Toronto?

g) What is the difference in temperature between Toronto and New York?

4. Use number line to work out the following calculations:

a) 6 - 8 =                 f) 5 - 2 =
b) -7 + 4 =               g) -4 - 3 =
c) -8 + 3 =               h) -3 -3 =
d) 5 - 10 =               i) -6 +2 =
e) 2 - 8 =                 j) 1 - 4 =






Tuesday, 9 December 2014

Time Problems

Write the following times in 24 hour clock format:

Example:

5:15 AM should be written as 05:15
6:15 PM  should be written as 18:15

1) Quarter to 6 in the morning.

2) 3:30 PM 

3) Quarter past 10 in the morning

4) 20 minutes past 12 in the night 

5) 12:15 AM

6) Quarter to 12 in the night

7) 4:25 PM

8) 11:45 AM

9) 4 minutes to 8 in the night

10) 8:23 PM

Word Problems:

1. Tom has to catch 08:17 train to work. If he takes 20 minutes to walk to the station, what time should he leave home?

2. Anna takes 35 minutes to get ready, 18 minutes to eat breakfast and 9 minutes to walk to school.What is the latest time she can wake up if she has to reach school at 8:25 AM?

3. Anna goes to ballet lessons every Saturday. The 40 minutes lesson ends at 11:05 AM. What time does it start?

4. Sam wants to watch a movie which runs for 123 minutes. If he starts at 4:15 PM, at what time will the movie end?

5. It took 3 hours 42 minutes for Anna to travel from London to Manchester. If Anna reched Manchester at 8:17 PM, at what time did she leave London?

Tuesday, 2 December 2014

Word Problems

                          Price list

Shirt                 £34         Trousers         £45
Shoes               £39          Dress-Ladies  £48
Handbag-small  £18          Dress-Girls    £27
Handbag-big     £38          Coat              £56
Hat                    £9          Trainers         £35
Scarf                £14          Pajamas         £12.50
Slippers            £15          Tie                £13


1. Anna bought 3 items from the above list. She paid £40 and got £2 change. what 3 items did she buy?

2. What two items from the above list cost exactly £40(together)?

3. If  ladies' dresses were on sale for 25% off, how much would it cost to buy 3 dresses?

4. If shoes were on sale for 10% off, how much would a pair of shoes cost?

5. Which 3 items from the above list cost £100 together?

On Saturday, all the items were on 'buy one and get the second one half off' sale.

1. Anna bought 2(same) items and paid £51. What item did she buy?

2. How much would it cost to buy
 a) 2 coats
 b) 2 big hand bags
 c) 2 ties
 d) 2 girls' dresses
 e) 2 pairs of trainers?


Note: Do not use the above price list for the following problems.

1. A dozen eggs cost £5.10. What is the cost of 4 eggs?

2. 4 cupcakes cost £2.50. What is the cost of 10 cupcakes?

3. 250 g of butter costs £1.25. What is the cost of 3 kg butter?

4. Six bread rolls cost £2.40. What is the cost of 10 bread rolls?

5. 500g sugar costs £1.60. What is the cost of 3.25 kg sugar?






Tuesday, 25 November 2014

Word Problems

Use your knowledge of fractions and percentages to solve the following word problems:


1. Anna borrowed £350 from Sam in the month of May. She paid £100 back to him in June and £150 back in July. What fraction of the borrowed amount did Anna have left to pay back?

2. In a football club of 40 pupils, 4 were absent. What fraction of the pupils were present?

3. Following are the results of a survey conducted among 36 pupils about their favourite sandwich:

     Type of sandwich                     No: of votes

        Peanut Butter                            6
        Grilled Cheese                          9
        Chocolate spread                      9
        Jam and Butter                         12

What fraction of the pupils like 
a) Jam and Butter
b) Chocolate spread
c) Grilled Cheese
d) Peanut Butter?

4. If 4 apples were shared equally among 6 children, how much apple would each receive?

5. If you had to share 6 pizzas equally among 15 children, how many slices should you cut one pizza into? What fraction of a pizza would 1 child receive?

6. The following table shows the result of a survey conducted among children about their favourite after school activities:

         Type of activity                 Number
            Swimming                         16
            Football                            32
            Martial arts                       12
            Hockey                             10
            Gymnastics                       10

a) What fraction of children liked hockey?
b) What percentage of children liked football?
c) What percentage of children liked swimming?
d) What fraction of children liked gymnastics?
e) What percentage of children liked football?

7. The capacity of a water bottle is 2 litres. How much water will be in the bottle if it's 4/5 full?

8. If 360 ml of oil is left in a half litre oil can, what percentage of it is full?

9. The following table shows the amount of rainfall received by a town from September to December.

          Month                              Rainfall in cm
       September                               50
       October                                   75
       November                               100
       December                                 25
a) What percentage of total rainfall is received in the month of September?
b) What percentage of total rainfall is received in the month of November?
c) What fraction of total rainfall is received in the month of October?
d) What percentage of total rainfall is received in the month of December?

10) What fraction of an hour is 5 minutes?

        
        

Wednesday, 19 November 2014

Word problems

1. Anna bought 3 cakes. She paid with a £5 note and got 8p change. How much did each cake cost?

2. Anna shared her bag of sweets with five friends. If everyone received 5 sweets each, how many sweets were in the bag?

3. Anna bought two scarves (of the same price) and a hat. The hat's price is half the price of one scarf. If she paid £50 in total, what is the price of a scarf?

4. Anna bought a plant which was 10 cm tall. By the end of week 1, it has grown 5 cm taller and then it grew 2 cm taller every week. What was the plant's height by the end of week 5?

5. Anna had £15.50 in her piggy bank. She saved £1.15 every week. How much money would she have after 9 weeks?

6. Anna's father won £1000 in lottery. He kept 1/2 to himself. He gave 1/4 of the remaining amount to Anna. He counted the money left over and gave a fraction of it to her brother. What fraction of the amount left over did he give her brother so that he gets the same amount as Anna?

7. A pen costs £2.25. What is the maximum number of pens that can be bought for £20?

8. Cans are arranged in a box in layers of 12. If there are 16 layers in total, how many cans are there in the box?

9. 2 bottles of 250 ml orange squash is mixed with 2 litres of water in a large pitcher. How many 250 ml cups can be filled with squash from the pitcher?

10. Spring rolls are sold in packs of 5. Anna decides to serve 2 spring rolls per guest in the party. How many packs should she buy if she invites 45 guests?

Factors, Multiples and Prime Numbers

1. Write down all the factors of 150.

2. Which of the following numbers is the multiple of both 5 and 6?

10, 15, 25, 30, 36

3. Which of the following set of numbers are the factors of 64?

a) 1, 2, 3, 4, 6, 12, 64
b) 2, 4, 8, 16, 32, 64
c) 1, 3, 4, 8, 16, 64
d) 1, 2, 4, 8, 16, 32, 64
e) 2, 3, 4, 8, 16, 32, 64

4) The sum of all the factors of a number is double the number. Find the number. (a number less than 10)

5) Write down the first five multiples of 3.
    Write down the first five multiples of 5.
What is the lowest common multiple of 3 and 5?

6) Write down the first six multiples of 6.
    Write down the first six multiples of 8.
What is the lowest common multiple of 6 and 8?

7) Write down the first three multiples of 4.
    Write down the first three multiples of 8.
What is the lowest common multiple of 4 and 8.

8) Write down the first ten multiples of 12.
    Write down the first ten multiples of 14.
What is the lowest common multiple of 12 and 14?

9) Which of the following numbers has both 7 and 8 as its factors?
  
48, 49, 56, 64, 72

10) Which of the following numbers has both 3 and 4 as its factors?

64, 72, 80, 86, 90

11) Which of the following numbers has both 3 and 6 as its factors?

78, 64, 82, 88, 93

12) Anna says, "All the multiples of 6 are even numbers." Is she right?

13) Anna says, "All even numbers are divisible by 4." Is she right?

14) All the numbers divisible by 4 are divisible by 2. Are all the numbers divisible by 2 divisible by 4?

15) It is a number less than 20 and has 3 and 5 as its factors. What is the number?

16) It is a number less than 50. It is an even number and has 3 and 7 as its factors. What is the number?

17) Which of the following numbers is a prime number?

15, 51, 81, 83, 93

18) Is number 1 a prime number?

19) What prime number is the nearest to 100?

20) It is a prime number which is less than 100. If you add 1 to it, you will get a multiple of 12. If you subtract 3 from it, you will get a multiple of 10. What is the number?






Tuesday, 11 November 2014

Mental Maths Calculations

34 x 7 =              560 ÷ 8 =             140 ÷ 7 =        324 + 116 =

15 x 4 =              810 ÷ 9 =             290 ÷ 2 =        123 + 320 =

16 x 3 =              640 ÷ 4 =             345 ÷ 5 =        362 + 173 =

45 x 2 =              360 ÷ 9 =             153 ÷ 3 =        404 + 128 =

25 x 16 =            780 ÷ 6 =              233 ÷ 3 =       578 + 345 =

65 x 3 =              480 ÷ 12 =            471 ÷ 3 =       324 - 177 =

78 x 6 =              130 x 7 =            156 ÷ 13 =     230 - 160 =

45 x 4 =               650 ÷ 5 =              57 ÷ 3 =        762 - 452 =

125 ÷ 10 =            860 ÷ 4 =               168 ÷ 8 =       543 - 273 =

760 ÷ 4 =               450 ÷ 5 =              248 ÷ 8          857 - 327 =

Mean, Median, Mode and Range(Averages)

1) The maths test scores of 11 children are the following:

15, 18, 18, 19, 14 ,14, 15, 15, 17, 16, 15

Find the mean, median, mode and range of the scores.

2)  The heights of three brothers are 150 cm, 142 cm and 158 cm. What is the mean height?

3) There are five apples in a pack. The mass of the apples are

120g, 200g, 280g, 170g and 230g. Work out the mean and median.

4) The number of goals scored by a football team in a season are:

1, 2, 4, 3, 3, 2, 0, 1, 2, 3, 3, 1, 2, 2, 1, 2, 2, 3, 3, 0

Find the mean, median, mode and range.

5) The table shows the temperature recorded in a city in a week.

Monday          16°C

Tuesday          18°C

Wednesday     19°C

Thursday        15°C

Friday             17°C

Saturday         18°C

Sunday            16°C

Work out the mean, median, mode and range.

6) Five friends went strawberry picking in a farm. The following table shows the number of strawberries picked by each person.

Anna          135
Sam           127
James         131
John           145
Jake           112

Work out the mean, median and range.

7) The following table shows the amount of rainfall received in the first six months of a year.

January         27 mm
February       13 mm
March           75 mm
April            100 mm
May              25 mm
June              60 mm

Work out the mean, median and range.

8) The following table shows the amount made in lemonade sales during the six weeks of summer.

Week 1        £312
Week 2        £454
Week 3        £530
Week 4        £423
Week 5        £373
Week 6        £477

Work out the mean, median and range.


Thursday, 6 November 2014

Number Seqences

1) 49, 39, 29, 19, ______

2) 49, 45, 39, 38, 29, 32, _____

3) 32, 34, 35, 35, 34, _____

4) 45, 36, 27, 18, _____

5) 1, 1, 2, 6, 24, ___

6) 5, 5, 7, 14, 9, _____

7) 24, 6, 2, 1, _____

8) 4, 5, 9, 14, 23, _____

9) 1, 3, 9, 27, _______

10) 9, 16, 25, 36, 49, _____

11) 36, 33, 39, 36, 42, 39, _____

12) 15, 60, 30, 120, 60, ______

13) 121, 100, 81, 64, _____

14) 36, 18, 34, 17, 32, 16, ______

15) 39, 41, 40, 42, 41, 43, ____

16) 65, 69, 67, 71, 69, _____

17) 13, 26, 22, 44, 40, ______

18) 12, 14, 18, 24, 32, ______

19) 15, 16, 19, 24, 31, ______

20) 2, 2, 4, 12, 48, ______



Mental Maths Calculations

 Time Allowed: 10 minutes

Try to do all the questions mentally

1)  34 + 76 = 125 - ____

2) 210 ÷ 70 =  240 ÷ _____

3) 129 - 45 = 37 + ____

4) 28 x 3 = 14 x ______

5) 16 x 10 = 8 x _____

6) 14 x 5 = _____ x 10

7) 29 x 10 = ____ x 5

8) 10 - 4.6 = 1.9 + ______

9) (14 x 6) + (14 x 4) = 14 x ______

10) 35.4 + 17.1 = 15.1 + ______

11) 5700 ÷ 20 = _______ x 10

12) 90 x 40 = ____x 10

13) 27 x 30 = _____ + 10

14) 460 ÷ 20 = _____ + 30

15) 88 + 22 = _______ + 10

16) 79 + 41 = 100 + _____

17) 0.99 x 5 = 5 - _____

18) 1.99 x  4 = 8 - _______

19) 3.99 x 5 = ____ - 0.5

20) 1.5 x 9 = 9 + _______

Wednesday, 5 November 2014

Timed Maths Questions

1) 2/5 of a number is 14. What is the number?

2) 3 lollipops cost 91p. How much does 1 lollipop cost?

3) Anna weighs 2 kg more than Sam, who weighs 6 kg less than John. If John weighs 25 kg, How much does Anna weigh?

4) Sam takes 13 minutes to walk from his home to school. If his school starts at 8.55 am, what is the latest time he can start from home?

5) What is the perimeter of a garden which is 24m long and 15m wide?

6a) Anna gets £1.50 as pocket money everyday on the week days and 50p more on Saturdays and Sundays. How much money does she get as pocket money in 1 week?

6b)  If she saves 40% of her pocket money, how much money does she save in a week?

7) If you add 25 to a number, you get 174. What is the number?

8) Anna's watch is 5 minutes fast. If it shows 6:03, what is the actual time?

9) Sam's watch is 3 minutes slow. If it shows 7:25, what is the actual time?

10) 0.8 = ____ %

11) 0.55 = ______ %

12) 7/8 of _______ = 35

13) 3.4 + _______ = 5.16

14) How 20ps are there in £3.00?

15) Adult fare from London to Manchester cost £30. Child fare cost 25% less. What is the child fare?

16) Population of a town is 80000. If 40% are women, how many women are there?

17) A necklace had 75 yellow beads and 100 green beads. What is the ratio of yellow to green beads?(Give your answer in the lowest terms)

18) A bracelet is made of red and white beads in the ratio of 3:1. If there are 40 beads in total, how many are red?

19) What is the sum of all the prime numbers between 20 and 30?

20) 500g flour costs 70p. What is the cost of 3/4 kg of flour?


Thursday, 30 October 2014

Word problems

1. Anna bought 7 C.Ds for £32.20. How much did 1 C.D cost?

2. Sam buys 2 donuts and a coffee for £2.00. If the coffee costs 20p more than 1 donut, what is the price of 1 donut?

3. Anna has 65p and Sam gives her 15p. Now, Anna and Sam have the same amount. How much did Sam have in the beginning?

4. 4/5 of Anna's pocket money is £16.80. What is her pocket money?

5. Anna gave Sam £25.  Sam repaid 35% of it. How much money was left to pay?

6. Anna went to the theme park and spent £13.50 on three souvenirs. How much did 1 souvenir cost?

7. A lemon icelolly costs 45p and a chocolate icelolly costs 25p more. How much would it cost for Anna to buy 3 of each flavour?

8. Anna ate 5/8 of the sweets in a bag. If 18 sweets are left in the bag, how many sweets were in the bag?

9. Anna hired a plumber to fix the leak in her house. He charged £30 per hour for his work and Anna had to buy the materials needed. If it took him 3 hours to finish the work and the materials costed £150, how much did Anna spend to fix the leak?

10. The overdue fine charges of a local library are as follows:

Children Books          17p/day
Adult Books               25p/day
CDs and DVDs          £1.15/day

Anna returned 6 children books, 4 adult books and some cds. They were all overdue for 3 days. If she paid £9.51 as overdue charges, how many cds had she borrowed?


Wednesday, 22 October 2014

Word Problems

1. Entry tickets to a park costs £7.50 for 1 adult and £3.50 for 1 child. How much would it cost to buy tickets for a family for 2 adults and 3 children?

2. The park offers family tickets(for a family of 2 adults and 2 children) at a discount rate of £20. How much money would a family(2 adults and 2 children) save by buying family ticket than buying adults and children tickets separately?

3. The park offers discount group tickets as follows:
            Individual Tickets
     Adult                         £7.50
     Child                         £3.50

           Group Tickets
    10 tickets(children)    £30.00   and an adult goes free.
    50 tickets(children)    £120.00 and 2 adults go free.

   a)  How much would it cost  to buy tickets for a group of 30 children and  5 adults?

    b)  How much would it cost  to buy tickets for a group of 60 children and 7 adults?
  
   c) How much would it cost  to buy tickets for a group of 100 children and 12 adults?

    d) Year 5 visited the park. They spent £135 for the tickets. If 4 adults were in the group, how many children were there?

   e) How much money would you save by buying group tickets for 10 children than buying 10 individual tickets?

   f) How much money would you save by buying groups tickets for 50 children than buying 50 individual tickets?

                         Price List

Sandwich             £3.50
Chips                   £1.75
Juice                    £0.95
Coffee                 £1.25
Ice-Cream           £1.55

a) Anna buys a sandwich and fries and pays with a £10 note. How much change does she get?

b) Mr. Smith ate lunch in the restaurant and paid £6.50. What did he  have?

c) Anna, Maria and Rosie went to the restaurant. They all had a sandwich each. Only Rosie didn't get chips. Anna and Mary had juice, but Rosie had coffee. Only Anna had ice-cream. How much did they have to pay in total?

d) A group of friends ate in the restaurant and paid £68.00. If everybody had sandwich, chips and ice-cream, how many people were in the group?

e) Anna has £5.00 to spend. What are the possible choices she can opt for?


   



Monday, 20 October 2014

Timed Maths Questions

Time Allowed: 7 minutes

After you finishing the calculations, answer the question at the bottom of the page.

1) 17 x 2 =       21)  43 x 4 =    41) 130 - 64 =

2) 36 ÷ 2 =        22) 376 ÷ 2 =    42) 2.5 + 4.5 =

3) 63 ÷ 7 =         23) 205 ÷ 5 =    43) 7.5 + 1.25 =

4) 15 x 4 =         24) 14 x 20 =     44) 10 - 3.5 =

5) 59 + 19 =       25) 175 ÷ 5 =    45) 15 - 7.5 =

6) 13 + 14 - 9 =  26) 130 ÷ 26 =

7) 180 ÷ 2 =       27) 280 ÷ 14 =

8) 40 x 4 =         28) 430 ÷ 2 =

9) 350 ÷ 7 =       29) 29 ÷ 2 =

10) 14 x 4          30) 317 + 46 =

11) 156 +19 =    31) 324 + 76 =

12) 48 + 49 =     32) 82 + 18 =

13) 48 x 2 =       33) 65 + 35 =

14) 70 ÷ 5 =       34) 45 + 55 =

15) 144 + 256 =  35) 120 - 39 =

16) 144 ÷ 12 =    36) 142 - 49 =

17) 32 x 4 =        37) 345 - 138 =

18) 1600 ÷ 40 =  38) 500 - 248 =

19) 16 x 4 =       39) 450 - 125 =

20) 225 ÷ 15 =   40) 156 - 75 =

Were you able to finish the calculations on time? 

Monday, 13 October 2014

Problem Solving

1) 10 pens cost £15.00. How much does 3 pens cost?

2) Share £42.00 between John and Jake in the ratio of 4:3.

3) An adult ticket to the cinema costs £16. A child ticket costs 3/4 of the adult ticket. A group of 5 adults and some children go to the cinema and buy tickets for £104. How many children are in the group?

4) Year 5 went on a trip and were offered two options for lunch; a burger which costed £4 and a pizza with a drink which costed £5. If 30 children went on the trip and spent £142 for lunch, how many children opted for the burger?

5) Mr. Smith went to the laundry to dry clean his coats and shirts. These were the prices:
Coat           £3.50/item
Shirt           £1.25/item

If he paid £21.50, how many coats and shirts did he give to be dry cleaned?

6) John and Jake helped Mr. Smith to mow his overgrown garden. John mowed for 2 hours and 30 minutes and Jake mowed for 3 hours and 30 minutes. He paid them £30 in total. What was John's pay?

7) £1 = 1.50 euros
       45 euros = £______
     27 euros = £______

8)  £1 = $1.60
     $32 = £______
     $80 = £______

9) Mr. Smith bought a sofa. He paid 40% of the money on the day of purchase. He had to pay £300(remaining amount) more. How much did the sofa cost?

10) In a restaurant, a burger with chips costs 50p more than a burger. Five friends ate in the restaurant and paid £26 in total. How many friends chose burger with chips?

11) Shirt             £49.99
      Scarf             £14.49
      Hat                ????

Jack bought a shirt, 2 scarves and a hat and paid £100 and got £14.04 change. How much did the hat cost?





      
       

Wednesday, 8 October 2014

Warm Up Questions

1) Round 63454 to the nearest 10, 100 and 1000.

2) 4.03 x 100 = _____ + 3

3) Round 4.34543 to two decimal places.

4) 10% of Jack's pocket money is 50p. What is his pocket money?

5) 4.76 x 10 = 50 - _____

6) If you arrange the following decimals from the smallest to the biggest, which one will be in the third place?

43.4, 43.04, 43.399, 43.411, 43.41

7) 3/5 of _____  = £27

8) What is 1/4 of 425?

9) Underline the number in the tenths place in 38.08

10) How many 4's are there in 100?


Tuesday, 23 September 2014

Warm Up Questions

1. 605p = £6.50. Is this right or wrong?

2. 1 kg of sugar costs £1.50. What is the cost of 100g sugar?

3. 20 lollipops cost £10. What is the cost of 1 lollipop?

4. 1 kg of tomatoes cost £1.96. How much does 250g tomatoes cost?

5. 10 strawberries cost 50p. You need 20 strawberries to make a smoothie. How much does it cost to buy strawberries to make 4 smoothies?

6. Anna buys a sandwich and pays with a £10 note? If she gets a £5 note, a pound coin and two 20p coins as change. How much does the sandwich cost?

7. Anna wants to save £10 to buy her favourite toy. She has three £2 coins, two £1 coins, three 20p coins and nine 2p coins. How much more money does she have to save?

8. £2.99 x 10 is ________ pence less than £30.00.

9. £9.09 is __________ pence less than £10.

10. Which of the following has the higher value?

  Three 20p coins and eight 2p coins 
                       (or)
   Five 10p coins and four 5p coins

11. What is 25% of £5.00?

12. What is the cost of 250 ml of juice if 2.5 litres of juice cost £3.90?

13. What is 75% of £10.00?

14. Anna has £200. She spends £50. What percentage of her money does she spend?

15. Which is the bigger amount, 15% of  £40 or 20% of £30?

            

Thursday, 18 September 2014

Word Problems 15/09/14

1. Anna has 13 bracelets. Sara has three times as many bracelets as Anna and Lucy has two times as many as Sara. How many bracelets do they all have together?

2. Jack has 123 stickers. John has 2/3 of what Jack has. How many more stickers does Jack have than John?

3. A recipe says to use one part flour to half part sugar. If Anna uses 500g of flour, how much sugar should she use?

4. There were 3 choices of school lunch to choose from. There were 525 pupils in the school. 2/5 of the pupils chose the first choice. 1/5 of the pupils chose the second choice. What fraction of the pupils chose the third choice? How many pupils chose the third choice?

5. Anna and Sara were a book of 600 raffle tickets each to sell. Anna sold 17/20 of her tickets. Sara sold 11/15 of her tickets. who sold more?

6. Sara weighs 1/3 of what Anna weighs. If Sara weighs 24 kg, how much does Anna weigh?

7.  1/4 of the pupils in Year 5 bike to school. If 16 pupils bike to school, how many pupils are there in Year 5?

8. 1/10 of the pupils in Year 6 did not go on the school trip. If 3 pupils did not go, how many pupils are there in Year 6?

9. 1/3 of the pupils in Year 3 are girls. If there are 28 girls in Year 3, how many pupils are there in Year 3?

10. 1/8 of the chocolates in a box have nuts. If 12 chocolates have nuts, how many chocolates are there in the box?

Tuesday, 16 September 2014

Warm Up Questions

1. Write down all the factors of 120.

2. Which is bigger, 0.9 or 0.09?

3. How many lines of symmetry does a square have?

4. Name an alphabet which has two lines of symmetry?

5. Which is bigger, 3/5 or 3/10?

6. What is the place value of 7 in 3.17?

7. Can 3.05 be written as 3.5? Explain your answer.

8. What is the sum of all the prime numbers from 1 to 10?

9. Change 17/4 into a mixed number.

10. What is the sum of all the angles in a triangle?

11. Is 342 divisible by 3? How do you find out doing the division?

12. Which is bigger, 1084 or 1804?

13. Jake went on  a five day holiday to France two days before(today). If today is Wednesday, on what day of the week will he come back?

14. Jake is twice as old as John. John will be 10 years old in two years. How old will be Jake then?

15. A pizza is cut into 10 slices. John eats 2 slices, his sister eats 2 slice and their mother eat 3 slices. What percentage of the pizza is left?



Thursday, 11 September 2014

Warm Up Questions

1)   3/4 + 1/2 =                           11) 450 g = _______ kg

2)   2/5 + 3/5 =                           12) 205 cm = ________ m

3)   3/10 + 2/10 =                       13) 46 ÷ 10 =_______

4)  Simplify:  17/51 =                  14) _____  ÷ 100 = 0.25

5)  Simplify:  25/250 =                 15) _____  ÷ 15 = 7

6) Simplify:   13/78 =                   16) 336  ÷ ______ = 42

7) 1706p =                                   17) 54 x ____ = 216

8) 2515p =                                   18) 346 - _____ = 64

9) 1.25 km = _______m                19) 459 + _____ = 700

10)  3.05 km = _______m            20) 4.56 x ______ = 456

21) How many quarters are there in 3?

22) How many 1/2 kilograms are there in 5 kilograms?

23) How many 100 millilitres are there in 2.5 litres?

24) What is the value of 3 in 3459?

25) What is the value of 4 in 3459?

Word Problems - Fractions and Percentages

1. In a survey conducted among 180 school children, 1/2 of them came to school by walk, 1/6 of them came to school by bus, 1/5 of them told they came to school by car and the rest came to school by bicycle. How many children cycle to school?

2. Nikki had £36. She spent 3/4 of her money to buy a birthday gift for her mother. She spent 1/3 of the money left to buy a sandwich for her. She put the money left over in her piggy bank. How much money did she put in the piggy bank?

3. John spent 50% of the money he had to buy movie tickets and 45% to take his family for dinner. If he had money £150, how much money did he spend?

4. James wants to save £200. If he saves 10% of the money in 1 week, how much money will he save 7 weeks? How long will it for him to save the whole amount?

5. A pair of boots costs £55.00. It was on sale for 20% off. How much would it cost?

6. There are 42 seats in a coach. 1/2 of them are occupied by adults. 1/3 of them are occupied by children. Rest were empty. How many seats were empty?

7. A survey was conducted about the favourite ice cream flavour. 
45% liked vanilla, 20% liked  chocolate, 5% liked mint with chocolate chip and the rest liked toffee. What percentage of the people surveyed liked toffee?

8. Sara counted the coins in her piggy bank. She had 120 coins in total. 25% of them were 1 penny,  20% of them were 2p, 10% were 5p, 15% were 10p, 15% were 50p and the rest were 20p. What percentage of the coins she had  were had were 20p?
How much money did she have in total?

9. A train goes from London to Manchester 360 passengers. 2/5 of the passengers were men, 1/3 of them were women and the rest were children. How many children were on the train?

10. 80% of the pupils in a class went for the Paris trip. If 5 pupils did not go on the trip, find the total number the pupils in the class?



Saturday, 6 September 2014

Word Problems - Multiplication and Division

1) Oranges are packed in bags of 4 each. If there are 159 oranges, how many bags of oranges can be packed?

2) 1800 books are arranged in 12 bookcases. If each bookcase has 5 shelves, how many books are there in one shelf?

3) A supermarket orders 250 egg cartons with 12 eggs in each carton. If it pays £600 for the order, what is the price of an egg?

4) Jake sells juice in the Summer Fayre. The table shows the prices of different juice cartons.
                 size                    price              number sold
               Small                  £0.75                   ?
               Medium              £0.99               350
               Large                  £1.15               250
If he has £814 in total at the end, how many small cartons does he sell?

5) 210 pupils are going on a school trip and 15 teachers are accompanying them. If a coach can accommodate 36 passengers, how many such coaches should be arranged?

6) A chocolate bar costs 75p. It was on an offer saying 'Buy 3 for £2'. Jane buys 6 chocolate bars. How much money does she save with the offer?
Can she buy another chocolate bar with the money she saved?

7) The product of two numbers is 84 and their difference is 25. What are the two numbers?

8) I picked a number, multiplied it by 8 and divided by 6. The result was 16. What was the number I pick?

9) A sandwich costs £2.99 and a drink costs 99p. Anna, John and James have £10 in total. Anna says that they can buy three sandwiches and a drink. John says that is wrong. Who is right?

10) How many less than 60 is the product of 0.59 and 100?




Wednesday, 3 September 2014

Find the missing numbers

1)  _ 8 2             2)  4 6 _             3) 2 _ 4 _
     4 _ 4 +               _ 5 9 +              _ 3 _ 6  -
   ______              ______             ________      
       3 5 _                  1 _ 4                  1 6 2 4

4) 8 _ 1              5) 7 _ 3 _            6) 5 0 _ 0
    _ 9 _  -               2 6 _ 2 +             2 _ 6 _  -         
________              ______               _______
     3  2 1                  _ 0 0 0                _ 2 3 6

7) 3 _ 3 _           8) 4 _ _ _              9) _ 2 _ 2
    _ 3 _ 3  +           _ 6 4 3  -               4 _ 4 _  -
________             _______               _______
    7 2 2 3                13 5 7                   3 6 7 3

10)  9 _ _           11)  _ 4 _              12)  6 4 _ _
       _ 8 4  -               4 8 9  -                  _ 2 7 3  -
      ______               _____                  ________
       4 3 6                  3 _ 3                      2 _ 2 7

13) 8 _ _            14)  _ 7 _ 
      5 1 2   -               3 _ 4 -
      ______             _______
      _ 8 7                   5 4 8

Tuesday, 26 August 2014

Maths Questions 25/08/14

1) Which of the following fractions are equivalent to 3/4?

6/9,     9/12,   5/15,   15/20,   18/24,  25/75

2) Which is bigger?

i)  0.03  or   3/10
ii) 45%  or    2/5
iii)  85% or   8.5
iv)  1%  or  1/100

3) Express the following fractions as percentages:
i)  4/5
ii)  7/10
iii) 2/8
iv) 17/50

4) Express the following percentages as fractions:
i) 65%
ii) 35%
iii) 18%
iv) 30%

5) A bottle can hold 500 ml. If it has 375 ml of water, what fraction of the bottle is full?

6) Find:

i) 4/7 of  28
ii) 3/5  of  105
iii) 2/9 of 216
iv) 2/3 of 378

7) Find:

i) 10% of 350
ii) 25% of  76
iii) 75% of  156
iv)  35% of  125

8) In a school, there are 264 pupils. If there are 198 boys, what fraction of the pupils are boys?

9) Ann ate 25% sweets in a pack.If there were 18 sweets left in the pack, how many sweets did Ann eat?

10) 10% of passengers in a bus were children. If there were 63 adults,how many passengers were there in the bus?



Wednesday, 20 August 2014

BODMAS

1)    23 - 5 x 4 =                 11)  56 ÷ 7 + 16 ÷ 2 = 

2)   8 + 4 x 4 =                   12)  5 x 0 + 8  =

3)  3 + 8 - 4 + 5 =              13)  5 + 8 x 0 =

4)  14 + 5 ÷ 5 =                  14)   18 - 0 x 3 =          

5)  3 x 9 - 4 x 2 =                 15)   (3 + 5) x (5 + 2) =

6)  16 ÷ 2 -  2 x 2 =              16)  32 ÷ 4 - 3 =

7) (4 + 5) - 6 =                      17) (9 + 8) + ( 5 x 6) =

8) 13 - 5 + 6 =                      18) (6 + 7) x 6  =

9)  15 x 3 - 8 x 5 =                19) (13 - 9) x 5 =

10)  15 ÷ 3 - 6 ÷ 2 =              20) (17 - 9) x 9 =