Maths Lit Worksheet - Number Problems & Understanding Finances

SAEP Matric Success – Zisukhanyo Maths Lit Worksheet Tuesday 28th April 2009 Number Problems/Understanding Finances 1. Write 56 and 84 as products of their prime factors. a) What is the highest common factor (HCF) of 56 and 84? b) What is the lowest common multiple (LCM) of 56 and 84? c) Write √56 and √84 in its simplest root form. d) What is the HCF of √56 and √84? e) What is the LCM of √56 and √84? 2. a) Work out the lengths and edges of the square and cube below. Give the lengths is surd form. b) Estimate your answer in part (a) c) Calculate the lengths correct to two decimal places.

3. Vusi does the following calculation: 8,9 × 105/(1,9)2 a) Estimate the answer to the calculation without using a calculator b) Vusi’s answer is 2 588,64. Is he right, if not, what did he do wrong? 4. Paint is sold in 5 litre tins. Sandra needs 32 litres of paint. How many tins must she buy? 5. a) Estimate the answers to the following: (i)

(18 ) 2 + 204

5×

(ii)

2,1 × 5

( 3,9) 2 + (1,8) 3 5

(iii) [(3,2)2 + (6,856 – 2,5) – 1]2 b) Calculate the answers above to one decimal place. 6. Jack has finished school. He is very interested in cars and wants to become a mechanic. He found out that it takes four years of apprenticeship and part-time study to become a technician. The company will pay for his studies and he will receive the following salary on condition that he passes his examinations each year: Year Salary/month

1 1 200

2 1 700

3 2 400

4 3 600

a) Give the percentage increase between consecutive years, correct to 1 decimal place.

b) If he can expect a 20% increase in year 5, what will his monthly salary be after he has qualified? c) What will his annual salary be for each of the 4 years? d) If you take into account that the studies cost the company R12 000 annually from the first year, work out Jack’s total benefit in year 1. e) Determine the total benefit Jack receives in year 2, 3 and 4 if study costs increase by 6% p.a. 7. Copy the bank statement and complete the missing amounts. a) The following transactions were also made during May: 01/05 credit interest R41,73; 01/05 credit card payment R2 841,55; 02/05 EFT mortgage bond R2 500; 02/05 EFT Insurance R280; 02/05 EFT Annuity R310; 05/05 ATM withdrawal R1500; ATM charges 3,05; 15/05 ATM withdrawal R2 500; ATM charges 8,25; 30/05 debit order cellphone account R345,77; 0/05 service fee R48,00 Copy the table below, extend it to include the listed transactions and calculate the balance brought forward for June. Debit Balance brought forward ACB-Provincial Administration ATM ATM charges …

Credit 10 456,82

240,00 1,75

Date 01/05 01/05

Balance 2 833,78 …

01/05

… …

b) What amount was saved during the month? c) What percentage of the salary was saved during the month? Do you think this is enough? 8. Jane’s basic rate of pay is R15 an hour. She is paid “time and a half” for overtime. a) Calculate her wage for 45 hours of work. b) How much is she paid for: (i) 1 hour overtime; (ii) a 45 hour week plus 5 hours overtime? 9. Calculate the following bill for the plumber: 4 metres of plastic piping @ R5,74 per metre 3,5 hours labour @ R75 per hour Subtotal: + VAT @ 14% Total:

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10. Second Bank Ltd charges transaction fees of 1,4% of the transaction amount for each cash withdrawal. The minimum charge is R2. a) How much must Thembi pay if she withdraws R140? b) How much must Karl pay is he withdraws R1 200?