NQF Level: 2 US No: 7480



Similar documents
GENERAL APPLICATION FOR FARM CLASSIFICATION

Binary Representation of Numbers Autar Kaw

Example 27.1 Draw a Venn diagram to show the relationship between counting numbers, whole numbers, integers, and rational numbers.

Operations with Polynomials

Reasoning to Solve Equations and Inequalities

Unit 6: Exponents and Radicals

COMPLEX FRACTIONS. section. Simplifying Complex Fractions

Warm-up for Differential Calculus

End of term: TEST A. Year 4. Name Class Date. Complete the missing numbers in the sequences below.

Chapter. Contents: A Constructing decimal numbers

Or more simply put, when adding or subtracting quantities, their uncertainties add.

Small Businesses Decisions to Offer Health Insurance to Employees

5.6 POSITIVE INTEGRAL EXPONENTS

Polynomial Functions. Polynomial functions in one variable can be written in expanded form as ( )

Two hours UNIVERSITY OF MANCHESTER SCHOOL OF COMPUTER SCIENCE. Date: Friday 16 th May Time: 14:00 16:00

Answer, Key Homework 10 David McIntyre 1

PROF. BOYAN KOSTADINOV NEW YORK CITY COLLEGE OF TECHNOLOGY, CUNY

Math 135 Circles and Completing the Square Examples

5 a LAN 6 a gateway 7 a modem

Use Geometry Expressions to create a more complex locus of points. Find evidence for equivalence using Geometry Expressions.

Health insurance exchanges What to expect in 2014

Factoring Polynomials

Health insurance marketplace What to expect in 2014

Recognition Scheme Forensic Science Content Within Educational Programmes

Small Business Networking

Graphs on Logarithmic and Semilogarithmic Paper

Combined Liability Insurance. Information and Communication Technology Proposal form

Health insurance exchanges What to expect in 2014

Homework 3 Solutions

Treatment Spring Late Summer Fall Mean = 1.33 Mean = 4.88 Mean = 3.

Regular Sets and Expressions

Exponential and Logarithmic Functions

Introduction. Teacher s lesson notes The notes and examples are useful for new teachers and can form the basis of lesson plans.

Multiplication and Division - Left to Right. Addition and Subtraction - Left to Right.

Experiment 6: Friction

2001 Attachment Sequence No. 118

P.3 Polynomials and Factoring. P.3 an 1. Polynomial STUDY TIP. Example 1 Writing Polynomials in Standard Form. What you should learn

Enterprise Risk Management Software Buyer s Guide

AntiSpyware Enterprise Module 8.5

Section 5-4 Trigonometric Functions

Mathematics. Vectors. hsn.uk.net. Higher. Contents. Vectors 128 HSN23100

BUSINESS OWNERS PACKAGE INSURANCE APPLICATION

The remaining two sides of the right triangle are called the legs of the right triangle.

Small Business Networking

Bayesian Updating with Continuous Priors Class 13, 18.05, Spring 2014 Jeremy Orloff and Jonathan Bloom

Small Business Networking

How To Network A Smll Business

Lecture 3 Gaussian Probability Distribution

Integration by Substitution

Anthem Blue Cross Life and Health Insurance Company University of Southern California Custom Premier PPO 800/20%/20%

Voluntary Prekindergarten Parent Handbook

MATH PLACEMENT REVIEW GUIDE

Morgan Stanley Ad Hoc Reporting Guide

Small Business Networking

Numeracy across the Curriculum in Key Stages 3 and 4. Helpful advice and suggested resources from the Leicestershire Secondary Mathematics Team

Threshold Population Levels for Rural Retail Businesses in North Dakota, 2000

Quick Reference Guide: One-time Account Update

Exercises in KS3 Mathematics Levels 7-8. R Joinson

PROBLEMS 13 - APPLICATIONS OF DERIVATIVES Page 1

15.6. The mean value and the root-mean-square value of a function. Introduction. Prerequisites. Learning Outcomes. Learning Style

KEY SKILLS INFORMATION TECHNOLOGY Level 3. Question Paper. 29 January 9 February 2001

Pre-Approval Application

Example A rectangular box without lid is to be made from a square cardboard of sides 18 cm by cutting equal squares from each corner and then folding

e.g. f(x) = x domain x 0 (cannot find the square root of negative values)

c. Values in statements are broken down by fiscal years; many projects are

Algebra Review. How well do you remember your algebra?

Active & Retiree Plan: Trustees of the Milwaukee Roofers Health Fund Coverage Period: 06/01/ /31/2016 Summary of Benefits and Coverage:

9.3. The Scalar Product. Introduction. Prerequisites. Learning Outcomes

Assessing authentically in the Graduate Diploma of Education

One Minute To Learn Programming: Finite Automata

2 DIODE CLIPPING and CLAMPING CIRCUITS

DlNBVRGH + Sickness Absence Monitoring Report. Executive of the Council. Purpose of report

and thus, they are similar. If k = 3 then the Jordan form of both matrices is

AREA OF A SURFACE OF REVOLUTION

0.1 Basic Set Theory and Interval Notation

GAO HIGHER EDUCATION. Improved Tax Information Could Help Families Pay for College. Report to the Committee on Finance, U.S.

APPLICATION NOTE Revision 3.0 MTD/PS-0534 August 13, 2008 KODAK IMAGE SENDORS COLOR CORRECTION FOR IMAGE SENSORS

Chapter33. Percentage

AAPT UNITED STATES PHYSICS TEAM AIP 2010

How To Set Up A Network For Your Business

Academic Regulations Academic Regulations. January Page 1 of 51

LINEAR TRANSFORMATIONS AND THEIR REPRESENTING MATRICES

Guide for completing the CMS-1500 (Professional Claims) Form

Welch Allyn CardioPerfect Workstation Installation Guide

Pay over time with low monthly payments. Types of Promotional Options that may be available: *, ** See Page 10 for details

SINCLAIR COMMUNITY COLLEGE DAYTON, OHIO DEPARTMENT SYLLABUS FOR COURSE IN MAT COLLEGE ALGEBRA (4 SEMESTER HOURS)

Vendor Rating for Service Desk Selection

S a l e s Ta x, U s e Ta x, I n c o m e Ta x W i t h h o l d i n g a n d M i c h i g a n B u s i n e s s Ta x E s t i m a t e s

Small Business Cloud Services

Features. This document is part of the Terms and Conditions for Personal Bank Accounts Barolin St, PO Box 1063 Bundaberg Queensland 4670

COMPONENTS: COMBINED LOADING

Utilization of Smoking Cessation Benefits in Medicaid Managed Care,

Repeated multiplication is represented using exponential notation, for example:

NQF Level: 2 US No:

Transcription:

NQF Level: 2 US No: 7480 Assessment Guide Primry Agriculture Rtionl nd irrtionl numers nd numer systems Assessor:.......................................... Workplce / Compny:................................. Commodity:................... Dte:.................. The vilility of this product is due to the finncil support of the Ntionl Deprtment of Agriculture nd the AgriSETA.

2 Before we strt T his ssessment guide contins ll necessry ctivities nd instructions tht will enle the ssessor nd lerner to gther evidence of the lerner s competence s required y the unit stndrd. This guide ws designed to e used y trined nd ccredited ssessor whom is registered to ssess this specific unit stndrd s per the requirements of the AgriSETA ETQA. Prior to the delivery of the progrm the fcilittor nd ssessor must fmilirise themselves with content of this guide, s well s the content of the relevnt Lerner Workook. Plese Note: This Unit Stndrd 7480 Assessment Guide must e red in conjunction with the generic Assessor Guide s prescried nd pulished y the AgriSETA. The ssessor, fcilittor nd lerner must pln the ssessment process together, in order to offer the lerner the mximum support, nd the opportunity to reflect competence. The policies nd procedures tht re required during the ppliction of this ssessment re ville on the wesite of the AgriSETA nd should e strictly dhered to. The ssessor must fmilirise him/herself with this document efore proceeding. This guide provides step-y-step instructions for the ssessment process of: Title: Demonstrte understnding of rtionl nd irrtionl numers nd numer systems US No: 7480 NQF Level: 2 Credits: 3 This unit stndrd is one of the uilding locks in the qulifiction listed elow. Plese mrk the qulifiction you re currently ssessing, ecuse tht will e determined y the context of ppliction: Title ID Numer NQF Level Credits Mrk Ntionl Certificte in Animl Production 48976 2 120 Ntionl Certificte in Mixed Frming Systems 48977 2 120 Ntionl Certificte in Plnt Production 48975 2 120 Plese mrk the lerning progrm you re enrolled in: Are you enrolled in : Y N Lernership? Skills Progrm? Short Course? Note to Assessor: If you re ssessing this module s prt of full qulifiction or lernership, plese ensure tht you hve fmilirized yourself with the content of the qulifiction.

3 1 SO 1 Instructions to lerner: Clculte nd estimte Lerner Guide: Pge 19 Fcilittor Guide: Pge 12 1. Clculte rtionl nd irrtionl numers with nd without the use of technology 1. 34 + 54 2. 432 324 3. 748 3 4. 230 x 84 5. {(4890 342 ) 7} 6. 2 34 7. 9 (74 + 63) 8. (9 74) + 63 9. 475 x 56 10. 7456 4329 11. (9787 87) x 2 12. 324 43 13. (9800 0) x (3 + 329920) 14. 43290 10 000 15. (898923 3) x (432 3) + (24 74) 1. 34 + 54 = 88 2. 432 324 = 108 3. 748 3 = 249,33 4. 230 x 84 = 19320 5. {(4890 342 ) 7} = 649,71 6. 2 34 = -32 7. 9 (74 + 63) = -128 8. (9 74) + 63 = -2 9. 475 x 56 = 26600 10. 7456 4329 = 1,722 11. (9787 87) x 2 = 224,988 12. 324 43 = 7,53 13. (9800 0) x (3 + 329920) = undefined

4 14. 43290 10 000 = 4,329 15. (898923 3) x (432 3) + (24 74) = 299641 x 144 + -50 = 43148254 2. Estimte the following nswers nd round off to the nerest round figure 1. 54 + 78 2. 96 23 3. 5,126954 x 4,5 4. 25% of R39,99 5. 33 % of R399,99 6. 1 x 54 8 7. 0,83 of 500 8. 3 x 500 100 9. 15% of 24500 1. 54 + 78 = 132 2. 96 23 = 73 3. 5,126954 x 4,5 = 23 4. 25% of R39,99 = 25 x 39,99 = R10 100 5. 33 % of R399,99 = 33,333 x 399,99 = 133 100 6. 1 x 54 = 7 8 7. 0,83 of 500 = 83 x 500 = 415 100 8. 3 x 500 = 1500 100 9. 15% of 24500 =3675

5 2 SO 2 Instructions to lerner: Clculte nd convert Lerner Guide: Pge 32 Fcilittor Guide: Pge 13 1. 9 12 4. 18 81 7. 78 88 10. 1120 1500 13. 35 = 5 77 11 1. Simplify the frctions: 2. 16 32 5. 36 48 8. 91 114 11. 45 65 3. 21 49 6. 88 112 9. 57 79 12. 17 23 1. 9 = 3 12 4 4. 18 = 2 81 9 7. 78 = 39 88 44 10. 1120 = 56 1500 75 13. 35 = 5 77 11 2. 16 = 1 32 2 5. 36 = 3 48 4 8. 91 = 91 114 144 11. 45 = 9 65 13 3. 21 = 3 49 7 6. 88 = 11 112 14 9. 57 = 57 79 79 12. 17 = 17 23 23 2. Convert the following into percentge: 1. 1 4 3. 9 27 5. 1,534 2. 6 25 4. 0,675 1. 1 x 100 = 25% 4 3. 9 x 100 = 33,33% 27 5. 1,534 = 1534 x 100 = 153,4% 1000 2. 6 x 100 = 24% 25 4. 0,675 = 675 x 100 = 67,5% 1000

6 3. Convert the following frctions to deciml frctions: 1. 1 2 6 5 10 3. 12 4 13 16 27 1. 1 = 2 = 0,2 2 6 = 0,6 5 10 10 3. 12 = 6 = 750 = 0,75 4 13 = 0,48148148 16 8 1000 27 4. Clculte the following: c d e f g h i j k 3 / 4 + 1 / 2 1 / 2 + 1 / 4 7 / 8 3 / 5 11 / 2 1 / 3 15 / 4 + 3 2 / 3 1 / 4 x 1 / 2 1 / 4 x 3 / 4 1 / 2 7 / 8 10 / 15 1 / 3 14 / 32 19 / 5 If field is divided into 8 equl sections, nd 5 sections re plnted with cotton, wht frction of the field hs cotton growing on it? l Wht is 5 / 6 of R120? m n How fr is 2 / 3 of 42 km? 1 / 5 of 965 workers re sent ecuse of txi strikes. How mny workers re sent? How mny workers re t work? o 3 / 5 of sum of money is R 80. How much is 1 / 5 of the sum of money? Wht is the totl sum of money?

7 p q A frmer uys ull weighing 360 kg. A month lter the ulls weight hs incresed y 1 / 12. How much does the ull weigh now? At cttle sle ull worth R 5400 is sold t 2 / 3 of its vlue. Wht ws the sle price of the ull? 1. 3 / 4 + 1 / 2 = 3 / 4 + 2 / 4 = 5 / 4 2. 1 / 2 + 1 / 4 = 2 / 4 + 1 / 4 = 3 / 4 3. 7 / 8 3 / 5 = 35 / 40 + 24 / 40 = 59 / 40 4. 11 / 2 1 / 3 = 33 / 6 + 2 / 6 = 35 / 6 5. 15 / 4 + 3 2 / 3 = 45 / 12 + 44 / 12 = 89 / 12 6. 1 / 4 x 1 / 2 = 1 / 8 7. 1 / 4 x 3 / 4 = 3 / 16 8. 1 / 2 7 / 8 = 1 / 2 x 8 / 7 = 4 / 7 9. 10 / 15 1 / 3 = 10 / 15 x 3 / 1 = 2 / 1 10. 14 / 32 19 / 5 = 14 / 32 x 5 / 19 = 35 / 304 11. If field is divided into 8 equl sections, nd 5 sections re plnted with cotton, wht frction of the field hs cotton growing on it? 5 / 8 12. Wht is 5 / 6 of R120? 5 / 6 x R120 = R100 13. How fr is 2 / 3 of 42 km? 2 / 3 x 42 km = 28 km 14. 1 / 5 of 965 workers re sent ecuse of txi strikes.. How mny workers re sent? 1 / 5 ox 965 = 193. How mny workers re t work? 4 / 5 x 965 = 772 15. 3 / 5 of sum of money is R 80.. How much is 1 / 5 of the sum of money? R80 x 1 / 3 = R26,67. Wht is the totl sum of money? R26,67 x 5 = R133,33 16. A frmer uys ull weighing 360 kg. A month lter the ulls weight hs incresed y 1 / 12. How much does the ull weigh now? 360 + (360 x 1 / 12 ) = 390 kg 17. At cttle sle ull worth R 5400 is sold t 2 / 3 of its vlue. Wht ws the sle price of the ull? 5400 x 2 / 3 = R3600

8 3 SO 2 Instructions to lerner: Clculte nd simplify Lerner Guide: Pge 36 Fcilittor Guide: Pge 13 1. Work out the nswers without using clcultor ( 5 / 8 + 2 / 3 ) x ( 1 / 3 x 1 / 2 ) 3 / 4 + 1 / 4 x ( 1 / 2 of 2) c 3 + 7 / 8 ( 1 / 8 x 0,5) d 1 / 4 + 1 / 4 of (9 x 2 3 + 3 1) e (72 6) 8 x 2 + 9 7 f Wht 1 / 3 of 36 dded to (36 12) nd divided y 3 + 15 6. ( 5 / 8 + 2 / 3 ) x ( 1 / 3 x 1 / 2 ) = ( 15 / 24 + 16 / 24 ) x 1 / 6 = 31 / 24 x 1 / 6 = 31 / 144. 3 / 4 + 1 / 4 x ( 1 / 2 of 2) = 3 / 4 + 1 / 4 x 1 / 2 x 2 = 3 / 4 + 1 / 4 = 4 / 4 = 1 c. 3 + 7 / 8 ( 1 / 8 x 0,5) = 3 / 1 + 7 / 8 ( 1 / 8 x 1 / 2 ) = 3 / 1 + 7 / 8 1 / 16 = 48 / 16 + 14 / 16 1 / 16 = 61 / 16 d. 1 / 4 + 1 / 4 of (9 x 2 3 + 3 1) = 1 / 4 + 1 / 4 x 8 / 1 = 1 / 4 + 2 / 1 = 1 / 4 + 8 / 4 = 9 / 4 e. (72 6) 8 x 2 + 9 7 = 18,5 f. 1 / 3 x 36 / 1 + (36 12) (3 + 15 6) = 12 + 24 12 = 12 + 2 = 14 2. Simplify the following: 1. 3 3 x 3 5 x 3 9 3 4 2. (5 3 5 2 ) 2 + (3 4 3) 4 3. 3-5 4. Which is the lrger frction? ) 0,379 or 3 / 8. 0,856 or 4 / 7

9 1. 3 x 3 5 x 3 9 3 4 = 3 13 2. (5 3 5 2 ) 2 + (3 4 3) 4 = 5 10 + 3 12 3. 3-5 = 1 243 4. Which is the lrger frction? ) 0,379 or 3 / 8 ) 0,856 or 4 / 7 3 / 8 = 0,375, thus 0,379 is lrger 4 / 7 = 0,5714 thus 0,856 is lrger 3. Simplify the following: 1. 5 + 2 + c + 3 + 5 + 2c 2. 4y -2x - 4x -2y 3. 14m + 7n 2mn + n 4. (3 + 6) (- 3 6) 5. (24 + 14d 10) 2 6. 6 + 6c + 6c 6 7. 3(2-3 + c) 8. 16p p 9. 24k + 4 10. 4rs 4r + 5rs + 10r 11. (55c +22) 11 12. (4m 4n) (-5m + 6n) 1. 5 + 2 + c + 3 + 5 + 2c = 8 + 7 + 3c 2. 4y -2x - 4x -2y = 2y -6x 3. 14m + 7n 2mn + n = 14m + 7n 2mn 4. (3 + 6) (- 3 6) = 3 + 6 + 3 + 6 = 6 + 12 5. (24 + 14d 10) 2 = 12 + 7d - 5 6. 6 + 6c + 6c 6 = 12c 7. 3(2-3 + c) = 6 9 + 3c 8. 16p p = 15p 9. 24k + 4 = 24k + 4

10 10. 4rs 4r + 5rs + 10r = 9rs + 6r 11. (55c +22) 11 = 5c + 2 12. (4m 4n) (-5m + 6n) = 4m 4n + 5m 6n = 9m 10n My Notes

11 4 SO 3 Instructions to lerner: Rewrite nd simplify Lerner Guide: Pge 42 Fcilittor Guide: Pge 14 1. Rewrite these in scientific nottion 3 687 834 234 984 c 996 000 007 d 756 000 000 e 0,009 f 147,235654000 g 0,005648 h 0,000006002 i 456,456 j 831 563 000 000. 3 687 834 = 3,687834 x 10 6. 234 984 = 2,34984 x 10 5 c. 996 000 007 = 9,96000007 x 10 8 d. 756 000 000 = 7,56 x 10 8 e. 0,009 = 9 x 10-3 f. 147,235654000 = 1,47235654 x 10 2 g. 0,005648 = 5,648 x 10-3 h. 0,000006002 = 6,002 x 10-6 i. 456,456 = 4,56456 x 10 2 j. 831 563 000 000 = 8,31563 x10 11 2. Rewrite these in Ordinry Numers 7,413 x 10 4 7,524 x 10-3 c 6,14 x 10-9 d 0,7 x 10 7

12 e 3,027 x 10 2 f 0,324 x 10 3 g 8,791 x 10-2 h 5,212 x 10 4. 7,413 x 10 4 = 74130. 7,524 x 10-3 = 0,007524 c. 6,14 x 10-9 = 0,00000000614 d. 0,7 x 10 7 = 7 000 000 e. 3,027 x 10 2 = 302,7 f. 0,324 x 10 3 = 324 g. 8,791 x 10-2 = 0,08791 h. 5,212 x 10 4 = 52120 3. Simplify the following without using clcultor 3,6 x 10 4 x 3 x 10 2 4,25 x 10-8 x 5 x 10 7 c 1,98 x 10 8 x 6 x 10 9 d 1,05 x 10-2 x 6,4 x 10-4 e 7,34 x 10 6 x 5,24 x 10-1. 3,6 x 10 4 x 3 x 10 2 = 3,6 x 3 x 10 4 x 10 2 = 10,8 x 10 6 = 1,08 x 10 7. 4,25 x 10-8 x 5 x 10 7 = 4,25 x 5 x 10-8 x 10 7 = 21,25 x 10-1 = 2,125 c. 1,98 x 10 8 x 6 x 10 9 = 1.98 x 6 x 10 8 x 10 9 = 11,88 x 10 17 = 1,188 x 10 18 d. 1,05 x 10-2 x 6,4 x 10-4 = 1,05 x 6,4 x 10-2 x 10-4 = 6,27 x 10-6 e. 7,34 x 10 6 x 5,24 x 10-1 = 7,34 x 5,24 x 10 6 x 10-1 = 38,4616 x 10 5 = 3,64616 x 10 6 My Notes

13 5 SO 3 Instructions to lerner: Clcultions Lerner Guide: Pge 45 Fcilittor Guide: Pge 14 1. In Jnury Zondi s frm mkes profit of R3 600 in the Stte Lottery. He decides to shre his profits with his rothers nd sisters. He keeps one third for himself, gives one fifth to ech of his two rothers nd the reminder to his two sisters, eqully shred. Wht frction does ech of his sisters receive? How much does ech memer of the fmily receive? Wht frction does ech of his sisters receive? Totl to sisters 1 1 / 5 1 / 3 = 15 / 15 3 / 15 5 / 15 = 7 / 15 Ech sister 7 / 15 x 1 / 2 = 7 / 30 How much does ech memer of the fmily receive? Zondi: 3600 x 1 / 3 = R1200 Ech rother: 3600 x 1 / 5 x 1 / 2 = R360 Ech sister: 3600 x 7 / 30 = R840 2. Clculte the following: 27 + 36 52 + 18 12 8 c 45-9 d The temperture one morning in Dorpfontein is -5 o C. The temperture t middy rises y 10 o C nd y 7pm tht evening it hs dropped y further 12 o C. Wht ws the temperture t : ii iii middy? At 7 pm in the evening?. 27 + 36 52 + 18 = -25. 12 8 = -20 c. 45-9 = 5 d. The temperture one morning in Dorpfontein is -5 o C. The temperture t middy rises y 10 o C nd y 7pm tht evening it hs dropped y further 12 o C. Wht ws the temperture t : i. middy? 5 o C ii. At 7 pm in the evening? -17 o C

14 3. Pul uys the following t the locl Co-op. 2.5 l cttle dip @ R 150.39 per litre 2l weed killer @ R 59.59 per litre 4 gs fertiliser @ R 25.99 per g 2 m wire mesh @ R 61.89 per m One pcket of seeds @ R 10.79 Wht is the estimted totl mount of money he needs? Round off to the nerest R1. c Wht is the estimted totl mount of money he needs? Round off to the nerest R10. Wht is the estimted totl mount of money he needs? Round off to the nerest R100.. Wht is the estimted totl mount of money he needs? Round off to the nerest R1. R309. Wht is the estimted totl mount of money he needs? Round off to the nerest R10. R310 c. Wht is the estimted totl mount of money he needs? Round off to the nerest R100. R300 4. Clculte the following: 73 297 4 21 592 x 542 c 99,97 7 d (1 132 3) x (5 10) e (-14 973-4) x -2. 73 297 4 = 18324,25. 21 592 x 542 = 11702864 c. 99,97 7 = 14,28142857 d. (1 132 3) x (5 10) = 377,333333 x 0,5 = 188,6666667 e. (-14 973-4) x -2 = -7486,5 5. Clculte the following:. 37% of R 750. One fifth of R 927 c. 0.347 of R 84 975 d. One qurter of R 648 e. 29,5% of R 212

15 f. 10 x 362 7 g. 4 27 x 3 37 100. 37% of R 750 = 37 / 100 x 750 = R262,5. One fifth of R 927 = 1 / 5 x 927 = 185,4 c. 0.347 of R 84 975 = 0.347 x R 84 975 = 29486,325 d. One qurter of R 648 = 1 / 4 x 648 = R162 e. 29,5% of R 212 = 29,5 / 100 x R212 = R62,54 f. 10 x 362 = 517,1429 7 g. 4 27 x 3 37 = 427 / 100 x 337 / 100 = 143899 / 10000 = 14,3899 100 100 6. Simplify the following: 3 + 4 + 3 + 2 + c + 7 7x + 3y 4x 2y c (13 + 2 + 4c -5 + 6 +4c) 4 d x 10 y. 3 + 4 + 3 + 2 + c + 7 = 17 + 2 + c. 7x + 3y 4x 2y = 3x + y c. (13 + 2 + 4c -5 + 6 +4c) 4 = (8 + 8 + 8c) 4 = 2 + 2 + 2c d. x 10 y = x 10 - y 7. Simplify the following exponents 3 7 4 2 3-4 144 ½ c 9-2 d ( 3 2 c 4 )( 4 6 c 2 ). 3 7 4 2 3-4 = 3 4 2 = 27 x 16 = 432. 144 ½ = 12 c. 9-2 = 1 / 3. ( 3 2 c 4 )( 4 6 c 2 ) = 7 8 c 6

16 8. Clculte the following: 1 of 1 2 3 1 of 1 3 2 79% of 2 3. 1 of 1 = 1 / 2 x 1 / 3 = 1 / 6 2 3. 1 of 1 = sme s ) ove 3 2 c. 79% of 2 = 79 / 100 x 2 / 3 = 79 / 150 3 9. Write the following in scientific nottion: 45 670 000 000 000 45,670 c c)0,4567 d 0,00004567. 45 670 000 000 000 = 4,567 x 10 13. 45,670 = 4,567 x 10 c. 0,4567 = 4,567 x 10-1 d. 0,00004567 = 4,567 x 10-5 10. Convert to ordinry numers 3 x 10 4 0,5 x 10 9 c 3,27 x 10 11 d 519,24 x 10 4 e 67.01 x 10 7

17. x 10 4 = 30 000. 0,5 x 10 9 = 500 000 000 c. 3,27 x 10 11 = 327 000 000 000 d. 519,24 x 10 4 = 5 192 400 e. 67,01 x 10 7 = 670 100 000 11. Simplify the following without using clcultor 5,25 x 10 4 x 2,25 x 10 2 2,13 x 10-5 x 1,21 x 10 4 c 171 x 10 5 x 1,4 x 10-2 d 0,309 x 10 8 x 32,14 x 10-4 e 1,52 x 10 x 3,4 x 10-2. 5,25 x 10 4 x 2,25 x 10 2 = 11,8125 x 10 6 = 1,18125 x 10 7. 2,13 x 10-5 x 1,21 x 10 4 = 2,5773 x 10-1 c. 171 x 10 5 x 1,4 x 10-2 = 239,4 x 10 3 = 2,394 x 10 5 d. 0,309 x 10 8 x 32,14 x 10-4 = 9,93126 x 10 4 e. 1,52 x 10 x 3,4 x 10-2 = 5,168 x 10-1 My Notes................................................................................................................................................................................................................................................................................................................................................

18 Summtive Test nd Attitude & Attriute Evlution B efore the knowledge test is undertken, the lerner must e reminded of wht is expected from him / her in terms of summtive nd reflexive competence. Red nd explin to the lerner, the Preprtion for Your Finl Assessment section in the lerner workook. Lerners nd ssessor should sign off this section to cknowledge tht this step ws completed. Plese set up knowledge test from the questions given s guideline to lerners nd supply ech lerner with test sheet. Supply ech report with the following heding: Unit Stndrd: 7480 NQF Level: 2 Lerner Nme: Questions Model Answers 1. Clculte the following with the use of clcultor. Give nswers correct to two deciml plces. 72 x 4,05 (0,576 0,532) x 67 c {(2190 3142 ) 5} d (9800 0) x (3 + 329920) e 705 + 3 x 2 2. Estimte the following to the nerest whole numer 1 / 4 of 25,55 0,57 of 425 c 25% of 786 d 0,2 x 399 e 789 + 1255 72 x 4,05 = 291,6 (0,576 0,532) x 67 = 2,948 c {(2190 3142 ) 5} = - 190,4 d (9170 x 0) x (3 + 3,2) = 0 e 705 + 3 x 2 = 4230 (5 x 1 = 5). 1 / 4 of 25,55 = 6. 0,57 of 425 = 242 c. 25% of 786 = 197 d. 0,2 x 399 = 79,8 e. 789 + 1255 = 2044 (5 x 1 = 5) 3. Express the frctions in their simplest form 24 / 36 17 / 35 c 2 60 / 120. 24 / 36 = 2 / 3. 17 / 35 = 17 / 35 c. 2 60 / 120 = 2 1 / 2 (3 x 1 = 3)

19 4. Convert the following decimls to percentge 15 / 40 7 / 28 c 120 / 60.. c. 15 / 40 x 100 = 37,5% 7 / 28 x 100 = 25% 120 / 60 x 100 = 200% (3 x 1 = 3) 5. Clculte the following: ¼ X ¾ ¼ of 596 c 1 / 2 + 1 / 4 c 34 / 20-34 / 10 d e) 15 / 35 9 / 5 ¼ X ¾ = 3 / 16 ¼ of 596 = 149 c 1 / 2 + 1 / 4 = 3 / 4 d 34 / 20-34 / 10 = 34 / 20-68 / 20 = - 34 / 20 = -1 7 / 10 e 15 / 35 9 / 5 = 15 / 35 x 5 / 9 = 5 / 21 (5 x 1 = 5) 6. Clculte the following: 62,5% 0f 8 000 km 2 / 5 of R120 c If 2 / 3 of sum of money is R90, wht ws the originl sum of money? c 62,5% 0f 8 000 km 2 / 5 of R120 If 2 / 3 of sum of money is R90, wht ws the originl sum of money? 7. Use scientific nottion to clculte the following: 960 000 x 560 000 000 000 2,3 x 10 6 x 4 x 10-3. 960 000 x 560 000 000 000 = 9,6 x 10 5 x 5,6 x 10 11 = 53,76 x 10 16 = 5,376 x 10 12. 2,3 x 10 6 x 4 x 10-3 = 9,2 x 10 3 (2x1)(2) 8. Simplify the following 3 + 4 + 5c 6 7 + 8c (2 14c) (3 + 7c) c (24m + 15n 21) 3 d 17m m e 31p + 5 9. Write s ordinry numers 4,567 x 10 5 0,56 x 10 3 c 482 x 10-4 d 0,007 x 10 5 e 560023 x 10-2. 3 + 4 + 5c 6 7 + 8c = -3-3 + 13c. (2 14c) (3 + 7c) = - -21c c. (24m + 15n 21) 3 = 8m + 5n - 7 d. 17m m = 16m e. 31p + 5 = 31p + 5 (5x1)(5) 4,567 x 10 5 = 456700 0,56 x 10 3 = 560 c 482 x 10-4 = 0,0482 d 0,007 x 10 5 = 700 e 560023 x 10-2 = 5600,23 f (5x1)(5)

20 10. Give n exmple of when it is convenient to use scientific nottion Explin why you would use scientific nottion in the exmple you hve given. When working with very lrge numers or very smll ones e.g. when quoting the numer of micro-orgnisms per cuic meter of soil. Numers re too lrge or to smll to e clculted y norml clcultor (2x2)(4) Totl: 40 mrks

21 Assessment Feedck Form Comments / Remrks Feedck to lerner on ssessment nd / or overll recommendtions nd ction pln for competence: Feedck from lerner to ssessor: Assessment Judgement You hve een found: Competent Not yet competent in this unit stndrd Lerner s Signture: Actions to follow: Dte: Assessor report to ETQA Lerner results nd ttendnce certifiction issued Assessor s Signture: Dte: Modertor s Signture: Dte: