Simplify `sqrt(1225.51/4) - 27% xx 1.514`
Simplify: 1.02 million - 950 000
10 ml of sugar weighs 8g
Calculate the weight of 245ml of sugar
The time (in seconds) taken by a moving object to cover a distance of 50 m is given by:
Time (in seconds)= `d/s`
here: s = average speed in metres per second
d = distance in metres
Calculate the time taken if the object is moving at an average speed of 8 metres per second.
(a) Determine the time at which Diasha would finish packing the 9 450 apples if she started at 07:50.
(b) Calculate the average rate, rounded off to the nearest whole number, (in apples per minute) at which Diasha packed the 9 450 apples.
A bag contains nine red balls and one white ball.
Determine the probability of randomly selecting a white ball from the bag
The only animals on Nico's farm are sheep and cattle. The ratio of sheep to cattle is 35 : 1.
Calculate the number of sheep on the farm if there is a total of 288 animals
Calculate the cost per CD if she paid R64,50 for the pack.
Determine the minimum number of CDs she would require in order to store 2 940 megabytes of data.
Determine the writeable area (in mm2) of the CD.Use the following formula:Writeable area = 85% × π(R2 – r2), where π = 3,14
If Xolani's baby sister requires 6 to 8 disposable nappies per day, determine the maximum number of days a complete pack of 120 nappies will last.
Calculate the percentage discount that was offered on the Pampers nappies.
1.3.3 Calculate the new price, excluding VAT, of the Choc-Kits biscuits
1.3.4 Xolani's mother sent him to buy one pack of nappies, four boxes of biscuits and three bottles of cool drink.
Calculate the total cost of the goods.
Determine the maximum length (in centimetres) of the herb garden.
Calculate the total area of the semicircular sections of the herb garden.
Use the following formula:
Area of a circle = x ()2
where = 3.14
d= the diameter of the semicircle
Calculate the perimeter of the herb garden
Perimeter of the herb garden = 2 x x d
where =3.14
Sharheem wanted to plant thyme in one of the semicircular sections of the herb garden as shown in the diagram.
He worked out the number of thyme plants he can plant in a row is given by the following formula:
Number of thyme plants = 2 x (the number of the row) - 1
Calculate the number of thyme plants Sharheem can plant in the 5th row.
2.2.1 Arrange the ages of the customers who visited the toy deparment in ascending order.
Calculate the range of the ages of the customers who visited the toy department.
Determine the modus of the ages of customers who visited the scrapbooking department.
Calculate the mean (average) age of the customers who visited the scrapbooking department.
The upper quartile of the ages of customers who visited the toy department is 25.
List the ages of the customers who visited the toy department that are greater than the upper quartile.
The total value of the demo toys that children can play with is currently R15 000 and the depreciation rate is 17,5% per annum. Thandeka uses the straight-line depreciation method to determine the value of the demo toys.
Calculate the depreciated value of the demo toys at the end of 4 years.
Use the formula A = P(1 – i × n) , where
A = the depreciated value
P = the present value
i= the annual depreciation rate
n = the number of years
What type of proportion is represented by the graph above?
Determine the monthly petrol cost per person if Leslie shares the petrol costs with SEVEN colleagues.
Determine the number of people sharing the cost if the monthly cost per person is R800.
Write down a formula that Leslie can use to calculate the monthly petrol costs per person sharing with him, in the form:
Monthly petrol cost per person =
The inside walls and the floor of the pool need to be repainted. Determine the total area of the pool that will be repainted.
Use the following formula
Area to be repainted = l x b + 2h ( l + b)
where l= length, b = breath and h = height
Calculate the height of the water in the pool if the volume of water in the pool is 1 500 m3
Convert (rounded off to the nearest degree) 22oC to degrees Fahrenheit.
Determine the number of children 3 years and younger who attended the swimming competition if there was a total of 177 spectators.
Calculate the total income the club received from entrance fees.
Total income from entrance fees = a × R7,50 + b × R10,50
Where a = the number of people paying R7,50
b = the number of people paying R10,50
The ACE swimming club also sold branded sports bags at the competition. Each bag cost the club R65,00 and was sold for R87,00.
Calculate the number of branded sports bags that was sold if a profit of R594,00 was made.
The funds generated will contribute to the purchase of a new pump for the swimming pool. A new pump costs R4 999,00. The club receives a 12% discount.
Calculate the discounted price the club has to pay for a new pump.
A few weeks after the swimming competition, an Australian tourist who had been a spectator at the competition deposited 1 500 Australian dollars (AUD$) into the club's bank account as a donation. The bank converted this amount to rand as R14 595,00.
Calculate the exchange rate, in rand per AUD$, used by the bank.
Calculate the missing value A in the second graph.
Identify the percentage of respondents who felt a bit unsafe while walking around during daytime in 2010.
During which year did the largest percentage of respondents feel fairly safe while walking around after dark?
At which time of the day (daytime or after dark) did most of the respondents in both years, 2010 and 2011, feel very unsafe while walking around?
Determine the difference in the percentage of respondents who felt very safe walking around during daytime between 2011 and 2010.
Write down the ratio of the percentage of respondents during 2011 who felt very safe walking around during daytime to those who felt very safe walking around after dark.
Give the ratio in simplified form, rounded off to the nearest whole number.
In which province(s) did 31% to 40% of the respondents feel very unsafe when walking around after dark?
In which province did the most respondents feel very unsafe when walking around after dark?
In which percentage category do the majority of the provinces fall?
In which province(s) was the percentage of respondents who felt very unsafe when walking around after dark more than 50%?
Which province is south-west of the Free State and at the same time south of the Northern Cape?
Calculate, using measurements, the scale used on the map in the form 1 : ...
Determine the missing value K
Determine the time it takes the number of bacteria in a culture to increase to 8 times the original number.
Use the grid below to draw a curve to represent the information in TABLE 2.
Calculate the average growth rate between the 4th and the 8th hour.
Use the formula below:
where s = number of bacteria at the 8th hour t = number of bacteria at the 4th hour r = difference in time
Which item is located at the far left-hand corner of the laboratory as a person enters the laboratory?
Hloni is in the radioactive waste section and sends a visually impaired person to fetch something from the refrigerator in the laboratory.
How would Hloni clearly direct the person to get to the refrigerator after going out of the door of the radioactive waste section?
Calculate the width of the laboratory if the total floor area is 18,9 m2
The scale used on the layout plan is 1 : 58.
Calculate the actual length of the table on the layout plan if its scaled length is 2,26 cm.
Calculate the percentage of days when there was intermittent rain.
Determine the total number of school days when there was no rain.
Identify the number of learners that might buy a size 30 long-sleeved jersey.
Calculate the total number of learners who might buy a sleeveless jersey.
Mrs Louw's survey showed that for a particular jersey size, the number of sleeveless jerseys is double the number of long-sleeved jerseys.
Identify the jersey size referred to.
Determine the missing values A and B.
On the graph below, the line graph showing Mrs Louw's income from the sale of 200 long-sleeved jerseys is drawn.
Draw another line graph on the same grid representing the costs of making 200 long-sleeved jerseys.
Determine the minimum number of jerseys Mrs Louw should make and sell to start showing a profit.