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find the length of the arc of the curve 9y2= (x2+2)3 from the point where x=0 To the point where x = 2.


A school principal claims that more than 67% of the 700 students of their school prefer printed modules. Test the hypothesis using 95% level of confidence.


Convert (3–√,−1) into polar coordinates (r,θ) so that r≥0 and 0≤θ<2π.


Write z1=3–√+i and z2=1−i in trigonometric form. Then the argument of the quotient z1z2is given by


Find the probability of getting 1 or fewer girls in 8 births


C. How many centimeters are in a meter?

D. What is the mode of the data set below:

5;6;1;4;7;3;8;2;4;3;8;9;4;6;1;2;6;5

E. Calculate the area of the darker shaded outer part below.The larger rectangle is 15cm long and 9 cm wide, the sides of the smallest square are 5cm each.


2.3 Below are five test items,each belonging in one of the four cognitive levels of CAPS: knowledge, routine procedure,complex procedure or problem solving.Indicate in each case to what cognitive level the question belongs.

A. What is the temperature difference between 17°C maximum-3°C minimum?

B.Ben walks to school in 48 minutes.Nomsa goes by bicycle in half the time that Ben walks.Koki goes by taxi in half the time that Nomsa goes by bicycle.At what time do they all start at home if they all arrive at school at 07:15?


3.5 Multiply 62 by 35, firstly by breaking down 35 in its terms (30+5) and secondly by breaking down 35 in its factors (5×7). Show all your steps


3.3 Illustrate the steps,each time on a number line, where you will explain to a grade 6 class how numbers can be negative and positive.

Use the case of Mpho who has R5 and she buys a packet of chips for R8 at the tuckshop.The next day she brings R10 to the tuckshop and buys a lolly for R2.Show how her money goes up and down and where she ends up.

3.4 Which base-10(Dienes) blocks represent the sum of 1034 and 675?


3.1 Many learner's struggle to make the leap from understanding rational number (which includes whole numbers and fractions) . Describe what you will do to help a learner who cannot position 3/5 correctly on a number line.

3.2 Show your calculation and explain how the base 60 number system is used to subtract 48 minutes from 2 hour 13 minutes.

3.4 Which base -10 (Dienes) blocks represent the sum of 1034 and 675?


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