QUESTION 1
1.1. CALCULATE EACH OF THE FOLLOWING WITHOUT THE USE OF A CALCULATOR. SHWO ALL WORKING.
1.1.1.180+23*6
1.1.2.(1 1/3+2/3)*2*3
1.1.3.RE ARRANGE THE FOLLOWING DECIMAL FRACTION IN A DESCENDING ORDER.
0,25;-0,13;0,1;-0,02
1.2.A CONCRETE MIX IS MADE BY MIXING FOUR PARTS OF GRAVEL,TWO PARTS OF SAND AND ONE PART OF CEMENT.
1.2.1.WRITE THE ABOVE MIX AS A RATIO.
1.2.2.IF TWO WHEELBARROWS OF GRAVEL ARE USED TO MAKE A CONCRETE MIX,CALCULATE THE NUMBER OF WHEELBARROWS OF SAND AND THE NUMBER OF WHEELBARROWS OF CEMENT THAT WILL BE NEEDED.
1.3.EIGHT ORANGE COST R24,CALCULATE THE PRICE OF 12 ORANGES.
1.4.CONVERT 4.5 TONNE TO GRAMS,SHOW ALL STEPS
HINT(1KG=1000G AND 1000KG=1 TONNE)
1.5.THE PRICE OF WASHING MACHINE AFTER DISCOUNT 13% REDUCED TO R4699.CALCULATE THE ORIGINAL PRICE OF WASHING MACHINE,SHOW ALL CALCULATION.
1.6.ROUND OFF 1999.345 TO TWO DECIMAL PLACE.
1.7.A GREENGROCER PACKS 12 ORANGE IN A PLASTIC BAG,CALCULATE THE NUMBER OF BAGS HE WILL NEED IF HE HAS 250 ORANGES.SHOW ALL CALCULATIONS.
1.8.THE SCALE OF A MAP IS 1:50 000.DETERMINE THE ACTUAL DISTANCE IN KM IF THE MEASUREMENT ON THE MAP IS 23,5CM.
HINT:1KM=100000CM
1.9.SIPHO TRAVEL FROM BLOEMFONTEIN TO PRETORIA WITH A PUBLIC TRANSPORT.HE LEAVES BLOEMFONTEIN AT 17:30AND REACHES PRETORIA AT 04:49,CALCULATE THE TIME TAKEN TO REACH PRETORIA.GIVE YOUR ANSWER IN HOURS AND MINUTES
1.10.CONVERT R 8750 TO POUND IF THE EXCHANGE RATE IS 1 POUND =0,16.ROUND OFF YOUR ANSWER TO THE NEAREST POUND .
1.11.PETROL PRICE INCREASED FROM R12.50 TO R 13.10 PER LITRE.CALCULATE THE PERCENTAGE PETROL PRICE INCREASE.
1.12.THE VAT INCLUSIVE PRICE OF A REFRIGERATOR IS R27 600.VAT IS CALCULATED AT 15%.CALCULATE THE VAT AMOUNTH OF THE REFRIGERATOR.
1.13.THE TABLE BELOW SHOW TWO OPTION OF PURCHASING DATA BUNDLE IN MEGABYTES(MB)
OPTION A 250MB R59.00
OPTION B 500MB R99.00
WHICH IS THE CHEAPER OPTION?SHOW ALL CALCUTATIONS TO SUPPORT YOUR ANSWER.
1.1.1.
180 + 23*6 = 180 + 138 = 318
1.1.2.
(1 1/3 + 2/3) * 2 * 3 = (4/3 + 2/3) * 6 = (6/3) * 6 = 2 * 6 = 12
1.1.3.
-0.02, -0.13, 0.25, 0.1
1.2.1.
Gravel : Sand : Cement = 4 : 2 : 1
1.2.2.
If 2 wheelbarrows of gravel are used, then 1 wheelbarrow of sand and 1/2 wheelbarrow of cement will be needed.
1.3.
Each orange costs R24, so 12 oranges will cost 12 * 24 = R288.
1.4.
4.5 tonnes = 4.5 * 1000 * 1000 = 4,500,000 grams
1.5.
Let x be the original price of the washing machine.
0.87x = 4699
x = 4699 / 0.87
x ≈ R5407.47
1.6.
1999.345 rounded to two decimal places is 1999.35.
1.7.
Each plastic bag contains 12 oranges, so 250 oranges will require 250 / 12 ≈ 20.83 bags.
Therefore, the greengrocer will need 21 bags.
1.8.
Actual distance = 23.5 * 100000 / 50000 = 47 km
1.9.
Time taken = (04:49 - 17:30) = 11 hours and 19 minutes
1.10.
R8750 * 0.16 = £1400
1.11.
Percentage increase = ((13.10 - 12.50) / 12.50) * 100% ≈ 4.8%
1.12.
VAT amount = 27600 * 0.15 = R4140
1.13.
Cost per MB for Option A = 59 / 250 = R0.236 per MB
Cost per MB for Option B = 99 / 500 = R0.198 per MB
Therefore, Option B is the cheaper option.