Which ONE of the following numbers is an irrational number?
A: `-3/5`
B: `sqrt5`
C: `0.dot3`
D: `root(3)(-64)`
Which number is missing in the number sequence?
`1/3; ... ; 1/12; 1/24; 1/48`
A: `1/6`
B: `1/8`
C: `1/9`
D: `1/10`
The straight line graph defined by 3𝑦+2𝑥+1=0 will cut the X-axis at the point …
Given the expression: `(x-y)/3 + 4 - x^2`
Select the incorrect statement.
Complete:` ``(-3xy^2)^2 =`
A: `-6x^2y^2`
B: `-9x^2y^4`
C: `9x^2y^4`
D: `6x^2y^2`
0,000065 written in scientific notation is:` `
A: `0.65 xx 10^-5`
B: `7.0 xx 10^-5`
C: `6.5 xx 10^-5`
D: `65 xx 10^-5`
Complete: `9^-1 -: 3^-1=`
A: `3^2`
B: `9`
C: `3`
D: `1/3`
In the figure below, 𝑃𝑆∥𝑄𝑅. Which ONE of the following statements is true for this figure?
In the figure below, side 𝐷𝐹 of Δ𝐸𝐷𝐹 is produced to 𝐶. Calculate the size of`hatE` in terms of 𝑥.
The above discs are placed into a bag. What is the probability of taking out a disc marked with a number that is a multiple of 4?
A: `1/11`
B: `8/11`
C: `4/11`
D: `3/11`
`(6x^5)/(x^4) - (15x^3)/(3x^2)`
`x(x+2) - (x-1)(x-3)`
`sqrt(225x^4) - root(3)(125x^6)`
`(2x + 1)/4 - (x+2)/2 - 1/4`
`6a^3 - 12a^2 + 18a`
`7x^2 - 28`
`3x - 1 = 5`
`2(x-2)^2 = (2x-1)(x-3)`
`(2x-3)/2 + (x+1)/3 = (3x-1)/2`
`x^3 = 64`
Write down the next TWO terms in the number sequence 7; 11; 15; ….
Write down the general term Tn of the above number sequence.
Tn =
Calculate the value of the 50th term.
How long will it take to travel 432 kilometres at an average speed of 96 kilometres per hour?
Calculate the simple interest on R3 500 invested at 6% per annum for 3 years.
Calculate how much money you will owe the bank after 3 years if you borrow R7 500 from the bank at 13% per annum compound interest.
Use the coordinates or any other method to determine the equation of line ABC.
Write down the coordinates of points A, B and C
Draw the graphs defined by 𝑦=−2𝑥+4 and 𝑥=1 on the given set of axes (this can be done using word/photoshop). Label each graph and clearly mark the points where the lines cut the axes, then upload your answer.
Write down the coordinates of the point where the two lines cut one another.
The size of `hatT1`
The size of `hatM2`` `
The size of `hatR`
Why is 𝐵𝐸=𝐶𝐷?
Which triangle is congruent to Δ𝐴𝐵𝐸 ?
Prove with reasons that ΔKNQ ≡ ΔMPQ
Complete the following (give reasons for the statements):
Prove with reasons that Δ𝑄𝑃𝑁 ||| Δ𝐿𝑀𝑁.In Δ𝑄𝑃𝑁 and Δ𝐿𝑀𝑁
1. `hatN` = …………… …………………….………….2. `hatP1` = …………… …………………………………3. `hatQ1` = …………… …………………………………∴ Δ𝑄𝑃𝑁 ||| Δ ……… …………………….…………..
Hence, calculate the length of 𝑃𝑁.
Use the given grid to draw Δ 𝐴′𝑂𝐵′, the reflection of Δ 𝐴𝑂𝐵 in the X-axis.
Upload your new image.
Write down the coordinates of 𝐵′, the image of 𝐵.
On the same grid, draw the rotation of Δ𝐴𝑂𝐵 P through 180° about the origin to form Δ𝐴′′𝑂𝐵′′.
Hence, determine the length of A'A''.
Show that the area of the shaded ring is equal to 𝜋(𝑅2−𝑟2).
Determine the area of the shaded ring in terms of 𝜋 if
R = 14 cm and r = 8 cm.
Determine the length of QT if QR=48 cm. (Give a reason for your answer).
If 𝑃𝑄=𝑃𝑅=25 cm, show that 𝑃𝑇=7cm.
Hence, calculate the area of Δ𝑃𝑄𝑅.
Calculate the volume of the prism if 𝑅𝑆=80 cm.
Calculate the surface area of the prism.
Complete the attached frequency table for the given histogram and upload it as your answer.
How many learners were tested?
Calculate the mean test mark.
What percentage of the learners obtained 7 or more out of 10 for the test?
Complete a stem-and-leaf plot to illustrate the data, using the attached excel spreadsheet.
The range =
The mode =
The median =
The number of learners who are shorter than 160 cm=
If you take out 1 marble, what is the probability that you will take out a green marble?
What is the probability of then taking out a white marble if you replace the marble that you took out of the box previously?
If you take out a white marble and do not replace it, what is the probability of taking out another white marble?
The 200 Grade 9 boys in a school play soccer, hockey or both. If 150 boys play soccer and 130 play hockey, calculate how many of them play BOTH soccer and hockey.