Probability - Simple Problems

1. A basket has 5 apples, 7 pears and 8 peaches. You pick a fruit from the basket.

a. What is the probability of it being an apple? Express your answer as a fraction.

b. What is the probability of it being a peach?

c. What is the probability of it not being a pear? Express your answer as a percentage.

d. What is the probability of it being an apple or a pear? Express your answer as a fraction.

2. A bag has 12 black marbles, 20 red marbles, 8 green marbles and 8 blue marbles. You take a marble out.

a. What is the probability of it being a black? Express it as a percentage.

b. What is the probability of it being green?

c. What is the probability of it being green or red?

d. What is the probability of it not being not blue?

3. What is the probability of rolling an even number when you roll a fair dice?

4. What is the probability of rolling a prime number when you roll a  fair dice?

5. There is a deck of number cards from 1 to 15. 

Jack picks a number card.

a. What is the probability of him picking an even number card?

b. What is the probability of him picking a multiple of 3?

c. What is the probability of him picking a mulitiple of 2 or 3?

d. What is the probability of him picking a multiple of 4? Express it as a percentage.

e. What is the probability of him picking a two digit number?

f. I say, " The probability of picking a two digit number is the same as the probability of picking a number greater than 10."

Am I right?

Problem Solving

1. If the cost of 3 kg of potatoes is £2.84, what is the cost of 0.75 kg potatoes?

2. The cost of 500 g butter is increased from £3.79 to £4. How much more would you have to spend if you buy 5 kg of butter?

3. Maria gave away 4/7 of  the sweets she bought. If she had 21 sweets left, how many sweets did she buy?

4. New York is 5 hours behind London. If the time in London is 3:28 pm, what is the time in New York? Write it in 24 hour format.

5. John spent £3500 to build a fence for his square garden. If the cost of fencing 1 m is £70, what is the length of the garden?

6. If a city receives 180 cm of rainfall in a year, what is the average rainfall in a month?

7. If Mr. Smith drives 105 km in a week, what is the average distance he drives in a day?

8. John's father weighs twice as much as John. If John's mother weighs  54 kg, which is two thirds of her husband, how much does John weigh?

9. John saves 15% of his pocket money. If he spends £8.50, how much is John's pocket money?

Timed Maths Questions - Simple Calculations

Work out:                                Time: 5 min 

1. Increase 2.25 by 0.5

2. What is the value of 2 in 7234?

3. What is the difference between 34 and 19?

4. 34 + 16 = 25 + ___

5. 2 one pounds , 2 twenty pence and 7 one penny make ___________ .

6. 3/5 of 120 = ___________.

7. 75% of  £3.60 = ___________.

8. 3400 g = _____________.

9. Jack is 7 years and 3 months old in January 2014. When was he born?

10. If you add 20 to a number and then divide it by 2, you get 19. What is the number?

Ratio and Proportion - Simple problems

Proportion:

1. In a parking lot, there were 560 cars. 40 of them were green. What proportion of the cars were green?

2. In a sample of 320 people surveyed, 80 people liked ready salted crisps. What proportion of the people liked ready salted crisps?

3. In a bus carrying 78 passengers, 13 were children. What proportion of the passengers were children?

4. There were 72 people in a swimming a pool. 18 of them were adults. What proportion of them were adults?

5.Out of 63 pupils in Year 5, 27 wore school jumpers. What proportion of the pupils wore school jumpers?

6. 5 pupils in Year 4 cycled to the school. If there were 30 pupils in the class, what proportion of the class cycled to school?

7. In a bag of 120 marbles, 72 were blue. What proportion of the marbles were blue?

8. 336 pupils in a school were asked whether they had any pets. 42 pupils said yes.
a) What proportion of the pupils had pets?

Out of the 42 pupils, 7 had cats. What proportion of the pupils had cats?

9. In a box of  90 chocolates, 42 had nuts in them. What proportion of the chocolates did not have nuts in them?

10. Sara has 70 soft toys. 49 of them are animal toys. What proportion of the toys are animals?

11. Jack sleeps 10 hours in a day. What proportion of the day does he sleep?

Ratio:

1. In a bag, there were 25 red and 35 green marbles. What is the ratio of red to green marbles?

2. In a box, there were 56 white and 48 black counters. What is the ratio of white to black counters?

3. In a class, there were 18 girls and 12 boys, What is the ratio of girls to boys?

4. In a survey done among children, 28 children said they liked to play in the slide and 35 children said they liked swing. What is the ratio of the children who liked slide to swing?

5. Sara had 14 watches and 21 bracelets. What is the ratio of watches to bracelets?

6. Every day, Jack spends 35 minutes doing his homework and 1 hour watching T.V. What is the ratio of the time he spends on doing homework to watching T.V?

Words of the Week 23/6

arid            conceal

acrid          reveal

lucid           veal

timid          bleary

rigid           lead

rapid          consist

aid              contain

placid         conduct

tepid           contract

 mid            contest

Note: Some of the words have more than one meaning. Make sure, you learn them all.

Verbs

Fill in the blanks with appropriate verbs:

threw        left       crashed        pleased        sent         whispered      swept

thought    taught     heard     convert     departed    bought     strolled   felt

fought    found     expected     woke   laughed     brought    allowed   bought  

danced

1. The ship  _________________ against the rocks.

2. Sara ______________ happily when she _____________ the good news.

3. The tornado ____________ all the homes in its path.

4. The little boy ___________ the ball up in the air.

5. She ____________ the secret into her friend's ears.

6. The plane to Paris ___________ on the scheduled time.

7. My mother was _______________ with my results.

8. Mr. Smith ___________ early to work today.

9. She ___________ very embarrassed when everyone ___________ at her.

10. He _______________ of a good idea to solve the problem.

11. Our teacher ______________ us how to _____________ mixed numbers to improper fractions.

12. The old man _____________ along the path around the park.

13. You are _____________ to finish your assignment by next Monday.

14. Sara ______________ ice cream, chocolates and juice in the super market.

15. Dogs are not ____________ inside the store.

16. He ________________ his pet dog with him to the park.

17. I ____________ with my friend yesterday.

18. I ____________ up very late today.

19. Peter _____________his lost toy under the bed.

20. Grandma _____________ me a greeting card for my birthday.

Area and Perimeter of Square and Rectangle

1. Find the perimeter of a square with side:

Note: 1. Remember to write the answer with appropriate units ( m, cm, mm).

         2. After answering all the questions, come up with a general rule to find the perimeter of              a square.

a) 8 m                         f)  15 mm
b)  16 cm                    g)  5  m
c)  9 mm                     h)  25 cm
d)  7 cm                      i)   12 cm
e)  14 cm                     j)  10 mm

2. Apply the general rule you worked out in the first question and find the side of a square with the perimeter:

a)   132 m                 f)   72 m

b)    56 cm                g)  24 cm

c)    84 mm               h)  96 cm

d)    50 m                  i)   120 mm

e)    68 cm                 h)  160 cm

3.  Find the perimeter of a rectangle with

Note: After answering questions a) to e), work out a general rule to find the perimeter of a rectangle.

a) length 8 cm  and breadth  12 cm

b) length 5 cm  and breadth   6  cm

c) length  7 m   and breadth   8  m

d) length  15 cm  and breadth  12 cm

e) length  18 cm and breadth 11 cm

4. Note: Draw the shape to help you work out the answers.

a) Work out the breadth of the rectangle with perimeter 36 cm and length 12 cm. 

b) Work out the length of the rectangle with perimeter 40 cm and breadth 10 cm.

5. Find the area of a square with side 

Note:  Remember the unit for area will always be written as m², cm², mm² ......

a)  8 m                 f)  12 cm

b)  7 cm               g)  4 cm

c)  6 mm              h)  3 m

d)  5 cm               i)   1 cm

e)  10 mm            j)   2 cm

6. Find the area of the rectangle with

a)  length 3 cm and breadth 4 cm

b)  length 5 cm and breadth 7 cm

c)  length 8 cm and breadth 6 cm

d)  length  4 m and breadth 12 m

e)  length  10 mm and breadth 5 mm

Word Problems:

1. Rita's garden is 15 m long and 12 m wide. What is the perimeter of her garden?

What is the area of her garden?

2.  A swimming pool is 25 m long and 12 m wide. What is the perimeter of the pool? What is the area of the pool?

3. A school playground is 150 m by 75 m. What is the perimeter of the playground? What is the area of the playground?

4. A parking lot is 100 m and 72 m wide. What is the perimeter of the parking lot? What is the area of the parking lot?

5. John takes a walk around a park which is 750 m long and 500 m wide. How much distance does he walk if he walks around the park once?

Words of the Week 16/6

weary                  increase             measles             rear

dreary                 decrease             seal                    gear

yearn                   seam                    teal                    spear

heath                   feature                sneak

heather               feasible               reap

beacon                weave                  squeal

cease                   weasel                preach

lease                    creak                 leap

crease                 treacle              meagre

grease                 reason               breach

tease                    mean                 ream

Words of the week 02/06

Learn the meaning and spelling of the following words and put them in sentences:

Remember to use appropriate adjectives, perfect punctuation and include lots of interesting details in your sentences 

hopefully

possibly

probably

normally

steadily

hastily

strangely

wearily

angrily

happily

Percentages and Fractions

Convert the following percentages to fractions:

1) 20%                6) 58%            11) 25%

2) 45%                7) 28%            12) 90%

3) 65%                8) 40%            13) 55%

4) 74%                9) 80%            14) 64%

5) 62%               10) 15%            15) 32%

Convert the following fractions to percentages:

1) 4/5              6)  20/25           11)  9/20            16)  32/64  

2) 16/25           7) 18/25            12) 13/20           17) 48/64

3) 2/5              8) 7/10              13)  17/20           18) 15/60

4) 3/10            9) 11/20             14)  23/25           19)  8/80

5) 18/25         10) 7/20              15)  18/72            20) 12/48

Match the following fractions, decimals and percentages:

1/5                    30%                   0.1

1/4                    75%                   0.2

3/10                  50%                   0.7

1/2                    25%                   0.6

3/5                    40%                   0.3

7/10                  10%                   0.01

2/5                    70%                   0.25

3/4                      1%                   0.5

1/10                   60%                   0.75  

1/100                 20%                   0.4

Measures - Revision

Convert:

1)  3500 g = _____________kg          16) 350 ml = ______________ L

2)  4060 g = _____________ kg         17) 456 g  = _______________kg

3) 706 cm = _____________kg          18) 623 m  = _______________km

4) 6200 ml = _____________ L          19) 653 cm = _______________m

5) 5780 g =  _____________ kg         20) 4502 g  = _______________kg

6) 1065 m = ____________km          21) 604 cm = _____________m

7) 5.46 kg = _____________ g          22) 1205 ml = ____________ L

8) 2.25 L    = ____________ml         23) 2306 g = ___________kg

9) 0.75 m  = ____________cm         24) 7750 g =  ____________kg

10) 3476 m  =____________ km       25) 6005 g = ____________kg

11) 3025 m  = _____________km

12) 0.75 kg =  ______________ g

13) 0.5 kg = _______________g

14) 0.5 m =   _____________cm

15)  0.25 L = _____________ml

Write these measures as fractions:

Example:  50 cm = 1/2 m

1) 250 ml = __________ L

2) 750 g  =  __________ kg

3) 250 m =__________km

4) 10 cm =  ___________m

5) 500 m = ___________ km

6) 750 m = ___________ km

7) 100 g =  ____________ kg

8)  500 ml = ___________ L

9) 100 ml = __________ L

10) 75 cm = __________ m

11) 200 g = ___________ kg

Word Problems:

1. How many kilograms and grams are there in three and a half kilograms?

2. How many litres and millilitres are there in one and a half kilograms?

3. A jug has 2 litres of orange juice. Sam pours 250 ml of juice into a cup for him to drink. How much juice is remaining in the jug? Express your answer in litres and also millilitres.

4. One chocolate bar weighs 50 g, how much do 50 such chocolate bars weigh? Give your answer in kilograms.

5. Jack is 147 cm tall. John is 15 cm taller than Jack. How tall is John? Give your answer in metres.