__Quick Review: Fractions, Mixed Numbers and Averages __

g. Find the average of the scores: 45, 55, 80, 35, 65

h. Two-fifths of the students in a school have school lunch. There are 890
students altogether.

How many students do not have school lunch?

**Group Work / Homework Assignment:** Fractions
and Mixed Numbers

1. Evaluate the following. Write answer in lowest terms .

2. Find the average of

3. There are two bags of rice. One bag weighs
kg and the other weighs
kg. If

of the total weight is sold, find the weight of the remaining rice.

4. Express as a single fraction in lowest terms:

5. Simplify:

6. Simplify:

7. There are 252 marbles in a bag. If two-sevenths of them
are red, four-ninths of the remainder

are green, and the rest are blue, how many blue marbles are there?

8. A piece of string was m long. A boy cut
off m of the string and gave it to his
sister.

He then cut off two-thirds of the remaining length for his cousin. What was the
length of the

remaining piece of string?

**Part II - Basic Operations with Decimals **

**Quick Review**

a. 3.21 x 2.3

b. 36.5 ÷
5

c. 57.5 ÷
0.23

d. 33.8 + 9.35

e. 62.123 - 4.24

**Group Work / Homework Assignment**

1. 0.7 x 0.6 x 0.05

2. 28.5 + 12.35 + 48.2

3. 16.3 - 2.087

4. 5.8 + 6.2 x 0.2

5. 173.88 ÷
0.63

6. 5 x (2 + 0.2) ÷
4 16

7. Sue’s mother bought 5 lemons at $0.25 each, ½ kg of
meat at $8.36 per kg, and 2.5 L of milk

at $0.85 per ½ L. How much money did she spend altogether?

**Part III - Conversions between Fractions and Decimals**

**Quick Review**

1. Fractions may be thought of as division problems. To convert a
fraction to a decimal, divide

the denominator into the numerator . Divide until the answer terminates or until
the repeating

pattern is apparent and put a bar over the repeating part.

2. Sometimes it is easier to write an equivalent fraction
with a denominator that is a power of 10,

such as 10, 100, 1000, etc. (This may always be done if the prime factors of the
denominator are

only 2's or 5's or both.)

(Note: multiply numerator and denominator by the missing
factors in order to get only

factors of 10 in the denominator .)

3. To convert a decimal to a fraction: Say the decimal in
words, write the fraction, reduce.

0.012 Say , and reduce
to

**Group Work / Homework Assignment**

1. Convert into fractions to lowest terms: a. 0.425 b.
0.0024 c. 3.2 d. 0.00005

2. Convert to decimal form :

3. Simplify the following . Give your answer either in fraction or decimal form.

**Part IV - Percentage**

**Quick Review**

1. Convert to fraction: 26%

2. Convert to percent:

3. Convert to fraction:

4. Convert to decimal:

5. Find 30% of $450.

6. There are 2,310 children in a school. This number is 5%
more than it was last year. Calculate

the number of children in the school last year.

**Group Work / Homework**

1. Express 45% as: a. a decimal b. a reduced fraction

2. Express as a percent:

3. Express as: a. a
decimal b. a reduced fraction

4. A merchant received his order of 250 ceramic figurines
and found that 8% of them were

broken. How many figurines were unbroken?

5. There are 1,500 soccer players in a county league. 45%
of them are boys.

a.. What percent of the players are girls?

b. How many boys are there in the league?

6. In 1983, the population of a town was 72,000. In 1993,
the population had risen to 81,000.

Find the percent increase of the population.

7. The enrollment of a certain elementary school was 450
in 1999. By 2000, the enrollment had

increased by 16%. What was the enrollment in 2000?

8. What is of 800 m?

9. Express 50 minutes as a percentage of 3 hours.

10. The price of a jacket is increased by 25% to $95, what was the original
price?

11. If the price of a hat is decreased by 5% to $19, what was the original
price?

Applied problems from New Elementary Mathematics Syllabus
D, by Sin Kwai Meng, with

Editor Dr. Wong Khoon Yoong, (2006), have been utilized in this workshop.

**Answer key for 0950 Workshop**

**Part I**

Quick review

g. 56 h.534 students

Group work/HW

Fractions and Mixed Numbers

Part II

Quick Review

a. 7.383

b. 7.3

c. 250

d. 43.15

d. 57.883

Group work/HW

1. 0.021

2. 89.05

3. 14.213

4. 7.04

5. 276

6.

7. $9.68

Part III

Quick Review

Group work/HW

Part IV

Quick Review

1.13/50

2 a. 25% b. 140% c. 35%

3 a.13/20 b.1/8

4 a. 0.34 b. 0.0025

5. $135

6. 2200 children

Group work/HW

1 a. 0.45 b.9/20

2 a. 100% b. 80% c. 0.03% d. 15% e. 235% f. 115%

3 a. 0.086 b.43/100

4. 230 figurines

5 a. 55% girls b. 675 boys

6. 12.5%

7. 522

8. 42m

9.

10. $76

11. $20