eRevision for Today 17/10/07 (eLearning Day Project 2007)

Mathematics Revision

Here are some major topics for your SA2 preparation. They are Whole Number, Fractions, Decimals, Area and Perimeter.

Whole Numbers (1) and (2)

Objectives

Pupils will be able to

*write in words and numerals for numbers up to 100 000
*compare numbers up to 100 000 and arrange them in ascending and descending order
*round off numbers to the nearest ten and hundred
*list factors and multiples of numbers
*differentiate between value and place values of numbers

Activity 1 (15 minutes)

You may want to click on the link below to revise what whole number is about before attempting the questions in the exercise. The answers to all the questions posted here will be posted the next day.

http://www.bbc.co.uk/skillswise/numbers/wholenumbers/ - All about Whole Numbers

Assessment of Whole numbers (1) and (2) -

Write all answers somewhere and check the next day if you have done them correctly.

A. Write the numbers in words.

1. 2861 =
2. 5903 =
3. 1097 =
4. 9462 =
5. 18010 =

B. Write the following in numerals.

1. Eleven thousand, six hundred and seventy =
2. Nine thousand, two hundred and twelve =
3. Three thousand, one hundred and eight =
4. Twenty-three thousand and forty-nine =
5. Seven thousands three hundreds seven tens =

C. Which of the following is the largest number?

1. 8609 , 8690 , 9001
2. 6456 , 6600 , 6599
3. 33 320 , 32 033 , 33 288

D. What is the value of the digit?

1. In 98 543, the digit 9 stands for _______________.
The place value of 9 is ______________________.

2. In 67 867, the digit 8 stands for _______________.
The place value of 8 is _____________________.

3. In 24 831, the digit 4 stands for _______________.
The place value of 4 is _____________________.

E. Round off the numbers.

1. To the nearest ten. (a) 5634 (b) 9845 (c) 8558
2. To the nearest hundred. (a) 9890 (b) 23 932 (c) 90 650
3. To the nearest thousand. (a) 3099 (b) 57 501 (c) 12 909

F. Arrange the numbers in decending order.

1. 7909 , 9197 , 9709 , 8879
2. 13 577 , 45 977 , 43 907 , 77 315
3. 50 980 , 59 999 , 55 099 , 55 900

G. Do the following.

1. Find the factors of (a) 13 (b) 32 (c) 27 (d) 48 (e) 60
2. List the common factors of 24 and 56.
3. What are the first 2 common multiple of 4 and 6?


Fractions (1) and (2)

Objectives

Pupils will be able to
*add and subtract like fractions (Fractions with same denominator)
*add and subtract related fractions (Equivalent Fractions)
*converting Mixed Number to Improper Fractions
*converting Improper Fractions to Mixed Numbers
*evaluate fractions of a set

Activity 2 (15 minutes)

Click on the link to revise what fraction is all about.
http://www.primarygames.com/fractions/start.htm - Pizza Party (Revise fraction the pizza way)
http://www.bbc.co.uk/skillswise/numbers/fractiondecimalpercentage/ - All about Fractions

Assessment of Fractions (1) and (2)

Write all answers somewhere and check the next day if you have done them correctly.

A. Give each answer as a mixed number in its simplest form.

B. Arrange in ascending order in the simplest form.
C. Convert the improper fractions to mixed numbers


D. Convert mixed numbers to improper fractions

E. Fractions of a set

Decimals (1), (2) and (3)

Objectives

Pupils will be able to
* write in words and numerals for decimals up to 3 decimal places
*compare decimals up to 3 decimal places and arrange them in ascending and descending order
*round off decimals to the nearest whole number, tenth (1 decimal place) and hundredth (2 decimal places)
*add and subtract decimals (up to 3 decimal places)
*multiply and divide decimals
*converting fractions to decimals
*converting decimals to fractions

Activity 3 (15 minutes)

http://www.bbc.co.uk/skillswise/numbers/fractiondecimalpercentage/ - All about Decimals

Assessment of Decimals (1) (2) and (3)

A. Write the following as decimals.

1. Four tens seven ones two tenths =
2. Six hundreds two ones and three tenths =
3. Two tens eight tenths four hundredths =

B. Which one of the following is the largest number?

1. 3.05 , 3.5 , 3.35
2. 6.92 , 6.29 , 62.9
3. 3.0 , 3.3 , 3.03

C. What is the value of the digit?

1. In 9.83, the digit 8 stands for ____________.
2. In 62.67, the digit 7 stands for ____________.
3. In 0.21, the digit 2 stands for ____________.

D. Round off the numbers below.

1. 5.81 is __________ when rounded off to 1 decimal place (tenth).
2. 36.16 is __________ when rounded off to the nearest whole number.
3. 23.345 is __________ when rounded off to the nearest hundredth (2 decimal places).

E. Fill in the missing numbers.

1. 3 + 0.8 = __________
2. 8 + 0.8 + __________ = 8.85
3. 12.5 - __________ = 8.35
4. __________ + 2.62 = 3.6 + 9.22
5. 42 - 10.82 = __________ - 15
6. 30.9 + 21.47 = __________
7. __________ - 5.4 = 18.54
8. 3.01 + 4.82 = 6.02 + __________

F. Express the fractions as decimals.

G. Express as fractions in the simplest form.

1. 0.4 = __________
2. 1.35 = __________
3. 2.08 = __________
4. 0.33 = __________
5. 1.5 = __________

H. Fill in the blanks.

1. 0.5 m = ____________ cm
2. 1.3 kg = ____________ g
3. 0.74 = ____________ hundredths
4. 25.5 cm = ____________ mm
5. 3.6 = ____________ tenths
6. 4.2 ℓ = ____________ m ℓ

I. Challenging problems.

1. Xin Yu weighs 34.6 kg. Jia Wang is 2.65 kg lighter than Xin Yu and 5 kg lighter than Xian Zhi. Find Xian Zhi's mass.

2. A flag pole is 5.82 m long. The carpenter sawed it into 3 pieces of equal length. Find the length of each piece. (Round off to 1 decimal place.)


3. Eunice's mother gave her $70. She spent one quarter of it on a new James Lee book. How much money had she left? (Round off to the nearest dollar.)



4. Ms Lim had 8.2 m of cloth. She used 1.25 m to sew 1 dress. If she sewed 6 dresses, how many metres of cloth had she left?


5. If 8 litres of petrol cost $8.64. How much is 1 litre of petrol?


6. Kassandra bought 2 chickens. One chicken weighed 2.9 kg and the other is 0.4 kg heavier. If the price of the chicken is $0.90 per kg, how much did she pay for the 2 chickens?



7. Xuen Qing had $10. He bought 9 pencils at $0.25 each. He used the rest of his money to buy 5 pens. What is the price of each pen?

Area and Perimeter

Objectives

Pupils will be able to

*identify the characteristics of a square (4 equal sides joined by 4 right angles)
*identify the characteristics of a rectangle (2 equal length and 2 equal breadth joined by 4 right angles)
*state the formula of Perimeter ( addition of all sides of the figure)
*state the formula of area ( Length x breadth)
*Find the perimeter and area of composite figures
*state the units for perimeter ( cm and m)
*state the units for area (cm2 and m2)

Activity 4 (15 minutes)

Assessment of Area and Perimeter

Solve the following problems.

Remember to check Tomorrow for the solutions. However, do try as hard as you can to answer the questions.