3.12 Research task and module test

Mathematics

Percentages

Educator section

Memorandum

MODULE TEST 6

1. a) 5% b) 12%

1. 73, $\stackrel{\text{.}}{3}$ %

2. a) $\frac{2}{\text{25}}$ b) $\frac{9}{\text{20}}$

3. 0,5; $\frac{1}{4}$ ; $\frac{1}{5}$ ; 15%

4. a) R70

1. R58,50

5. 42%

6. R297,50

7. R36,29 (ronded off)

8. 20%

9. DISCOUNT X 100

MARK PRICE 1

Leaner section

Content

Activity: research task and module test [lo 1.5, lo 2.6, lo 5.9]

25. A bigger challenge!

Do the following as a separate research task. Use your own paper, or folio supplied by your educator. Remember to work neatly!

a) You are going to start a business – open a shop. Decide on your own what kind of shop it will be.

b) Do market research and supply a list of items that you will buy for your shop. (choose only five) Give each item a realistic cost price.

c) Now add 14 % VAT to each item and list it in a table, e.g.:

d) Decide what you will sell each item for. Give a clear explanation of your cost price and selling price by means of a line graph. (Hint : use different colours)

e) Calculate how much % profit you will make on each item, e.g.

f) Design an advertisement that will announce the opening of your new shop.

g) Now work out a monthly budget for your shop – how much money you need to let everything go smoothly. (Hint : think about water and lights, telephone, employees, etc.)

MODULE 6 TEST

1. Write the following as percentage (%):

a) 0,05 : ......................... b) $\frac{3}{\text{25}}$ : ......................... (2)

c) $\frac{\text{11}}{\text{15}}$ : ......................... (2)

2. Convert to a common fraction and simplify:

a) 8% : ......................... b) 45% : .........................

......................... ......................... (4)

3. Rearrange from big to small:

$\frac{1}{5}$ ; 15% ; 0,5 ; $\frac{1}{4}$

(2)

4. Calculate:

a) 20% of R350

(2)

b) 12 $\frac{1}{2}$ % of R468

(2)

5. What % is 840 g of 2 kg?

(4)

6. I get 15 % discount on a pair of shoes that are marked at R350. How much must I pay for the shoes?

(4)

7. The price of cheese is R32,99 / kg at present. It will increase by 10 % shortly. What is the new price / kg going to be?

(4)

8. A furniture dealer buys a lounge suite for R12 000 and sells it for R15 000. What % profit does he make?

(2)

9. Write down the formula for % discount.

(2)

Assessment

Learning Outcome 1: The learner will be able to recognise, describe and represent numbers and their relationships, and to count, estimate, calculate and check with competence and confidence in solving problems.

Assessment Standard 1.5: We know this when the learner solves problems in context including contexts that may be used to build awareness of other Learning Areas, as well as human rights, social, economic and environmental issues;

Learning Outcome 2: The learner will be able to recognise, describe and represent patterns and relationships, as well as to solve problems using algebraic language and skills.

Assessment Standard 2.6: We know this when the learner describes a situation by interpreting a graph of the situation, or draws a graph from a description of a situation (e.g. height of a roller-coaster car over time; the speed of a racing car going around a track);

Learning Outcome 5: The learner will be able to collect, summarise, display and critically analyse data in order to draw conclusions and make predictions, and to interpret and determine chance variation.

Assessment Standard 5.9: We know this when the learner critically reads and interprets data presented in a variety of ways to draw conclusions and make predictions.