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Check whether the interval [7,10[ and ]3,6] are equivalent or not

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

(a) 62 x (30 + 5)

(b) 62 x (5 x 7)


Describe what you will do to help a learner who cannot position 3over4 correctly on a number line.


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


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


Show that

f(x)=(1/2)^(x+1) , x = 0, 1, 2, 3, 4, 5,...

is a valid PMF for a discrete random variable. Also find

out its CDF.


A ladder 20 meters long leans against a wall. If the bottom of the ladder is being pushed towards the wall at the rate of 20 m/min, how fast is the top of the ladder moving up the wall when the top of the ladder is 6 meters from the ground?

A jar contains 9 red marbles numbered 1 to 9 and 8 blue marbles numbered 1 to 8. A marble is drawn at random from the jar. Find the probability that the marble is blue AND even-numbered.



Design an instructional activity that could help learners recognise that decimal fractions can be applied across environmental situations (relating to activities in real life).


Convert the following rectangular coordinates into polar coordinates (r , theta) so that r<0 and 0<theta <2pi: ( 4, -4 square root of 3)


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