Question 4 4.1


The pattern below shows how a prime number plus an even number can produce another prime number: 41 + 2 = 43 43 + 4 = 47 47 + 6 = 53 53 + 8 = 61 61 + 10 = 71


4.1.1 Write down the definition of a prime number. 4.1.2 Describe the pattern above in words.


4.1.3 Write down the next four equations in the sequence above. Do they also follow this rule?


4.2 Use the following flow diagram to complete the table below: Input → ÷ (−3) → square the answer → output


Input 30


−57 c


d e


Question 5 5.1


Output a b


16


400 81


(5) [10] What is the smallest factor by which you must multiply 5pq5 to get a:


5.1.1 perfect square? 5.1.2 perfect cube? 5.2.


(1) (1)


Calculate the following products:


5.2.1 (4m + n)(3m − n) 5.2.2 6(x + 7y)(y − 2x)


5.3 Determine the value of the following if x = −2; y = 3 and z = 0. 5.3.1 (3x + 2y)2


5.4.1 x


5.3.2 5.4


________ (x + y + z)


1 Solve for x in each of the following:


5.4.2 x2 = 9 5.4.3 3x = 9


__ 3 = 9


(1) (1) (1)


[10] TOTAL: 50 Marks


(1) (1)


(2) (1)


(1) (2)


(2)


316 Section 4: Teaching Mathematics


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